TSTP Solution File: HWV050_6 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV050_6 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 02:14:20 EDT 2022
% Result : Theorem 217.55s 140.16s
% Output : Proof 224.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV050_6 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 31 23:07:09 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 217.55/140.16 % SZS status Theorem
% 217.55/140.16 % SZS output start Proof
% 217.55/140.16 tff(v115_type, type, (
% 217.55/140.16 v115: state_type > $o)).
% 217.55/140.16 tff(constB57_type, type, (
% 217.55/140.16 constB57: state_type)).
% 217.55/140.16 tff(v84_type, type, (
% 217.55/140.16 v84: ( state_type * $int ) > $o)).
% 217.55/140.16 tff(constB56_type, type, (
% 217.55/140.16 constB56: state_type)).
% 217.55/140.16 tff(v123_type, type, (
% 217.55/140.16 v123: ( state_type * $int ) > $o)).
% 217.55/140.16 tff(v94_type, type, (
% 217.55/140.16 v94: state_type > $o)).
% 217.55/140.16 tff(v119_type, type, (
% 217.55/140.16 v119: state_type > $o)).
% 217.55/140.16 tff(v108_type, type, (
% 217.55/140.16 v108: state_type > $o)).
% 217.55/140.16 tff(constB59_type, type, (
% 217.55/140.16 constB59: state_type)).
% 217.55/140.16 tff(v107_type, type, (
% 217.55/140.16 v107: state_type > $o)).
% 217.55/140.16 tff(v120_type, type, (
% 217.55/140.16 v120: state_type > $o)).
% 217.55/140.16 tff(v106_type, type, (
% 217.55/140.16 v106: state_type > $o)).
% 217.55/140.16 tff(v105_type, type, (
% 217.55/140.16 v105: state_type > $o)).
% 217.55/140.16 tff(constB67_type, type, (
% 217.55/140.16 constB67: state_type)).
% 217.55/140.16 tff(v102_type, type, (
% 217.55/140.16 v102: state_type > $o)).
% 217.55/140.16 tff(v104_type, type, (
% 217.55/140.16 v104: state_type > $o)).
% 217.55/140.16 tff(constB68_type, type, (
% 217.55/140.16 constB68: state_type)).
% 217.55/140.16 tff(constB75_type, type, (
% 217.55/140.16 constB75: state_type)).
% 217.55/140.16 tff(constB74_type, type, (
% 217.55/140.16 constB74: state_type)).
% 217.55/140.16 tff(v95_type, type, (
% 217.55/140.16 v95: state_type > $o)).
% 217.55/140.16 tff(constB73_type, type, (
% 217.55/140.16 constB73: state_type)).
% 217.55/140.16 tff(constB79_type, type, (
% 217.55/140.16 constB79: state_type)).
% 217.55/140.16 tff(constB80_type, type, (
% 217.55/140.16 constB80: state_type)).
% 217.55/140.16 tff(v114_type, type, (
% 217.55/140.16 v114: state_type > $o)).
% 217.55/140.16 tff(constB66_type, type, (
% 217.55/140.16 constB66: state_type)).
% 217.55/140.16 tff(constB69_type, type, (
% 217.55/140.16 constB69: state_type)).
% 217.55/140.16 tff(v113_type, type, (
% 217.55/140.16 v113: state_type > $o)).
% 217.55/140.16 tff(constB81_type, type, (
% 217.55/140.16 constB81: state_type)).
% 217.55/140.16 tff(constB83_type, type, (
% 217.55/140.16 constB83: state_type)).
% 217.55/140.16 tff(nextState_type, type, (
% 217.55/140.16 nextState: ( state_type * state_type ) > $o)).
% 217.55/140.16 tff(v96_type, type, (
% 217.55/140.16 v96: state_type > $o)).
% 217.55/140.16 tff(v1_type, type, (
% 217.55/140.16 v1: state_type > $o)).
% 217.55/140.16 tff(v98_type, type, (
% 217.55/140.16 v98: state_type > $o)).
% 217.55/140.16 tff(v26_type, type, (
% 217.55/140.16 v26: state_type > $o)).
% 217.55/140.16 tff(v116_type, type, (
% 217.55/140.16 v116: state_type > $o)).
% 217.55/140.16 tff(constB82_type, type, (
% 217.55/140.16 constB82: state_type)).
% 217.55/140.16 tff(v111_type, type, (
% 217.55/140.16 v111: state_type > $o)).
% 217.55/140.16 tff(v110_type, type, (
% 217.55/140.16 v110: state_type > $o)).
% 217.55/140.16 tff(v112_type, type, (
% 217.55/140.16 v112: state_type > $o)).
% 217.55/140.16 tff(v118_type, type, (
% 217.55/140.16 v118: state_type > $o)).
% 217.55/140.16 tff(v109_type, type, (
% 217.55/140.16 v109: state_type > $o)).
% 217.55/140.16 tff(v117_type, type, (
% 217.55/140.16 v117: state_type > $o)).
% 217.55/140.16 tff(constB77_type, type, (
% 217.55/140.16 constB77: state_type)).
% 217.55/140.16 tff(constB78_type, type, (
% 217.55/140.16 constB78: state_type)).
% 217.55/140.16 tff(constB76_type, type, (
% 217.55/140.16 constB76: state_type)).
% 217.55/140.16 tff(v121_type, type, (
% 217.55/140.16 v121: ( state_type * $int ) > $o)).
% 217.55/140.16 tff(v124_type, type, (
% 217.55/140.16 v124: ( state_type * $int ) > $o)).
% 217.55/140.16 tff(b100_type, type, (
% 217.55/140.16 b100: $int > $o)).
% 217.55/140.16 tff(b110_type, type, (
% 217.55/140.16 b110: $int > $o)).
% 217.55/140.16 tff(b001_type, type, (
% 217.55/140.16 b001: $int > $o)).
% 217.55/140.16 tff(b011_type, type, (
% 217.55/140.16 b011: $int > $o)).
% 217.55/140.16 tff(b101_type, type, (
% 217.55/140.16 b101: $int > $o)).
% 217.55/140.16 tff(b010_type, type, (
% 217.55/140.16 b010: $int > $o)).
% 217.55/140.16 tff(constB84_type, type, (
% 217.55/140.16 constB84: state_type)).
% 217.55/140.16 tff(constB55_type, type, (
% 217.55/140.16 constB55: state_type)).
% 217.55/140.16 tff(constB60_type, type, (
% 217.55/140.16 constB60: state_type)).
% 217.55/140.16 tff(constB61_type, type, (
% 217.55/140.16 constB61: state_type)).
% 217.55/140.16 tff(constB72_type, type, (
% 217.55/140.16 constB72: state_type)).
% 217.55/140.16 tff(constB71_type, type, (
% 217.55/140.16 constB71: state_type)).
% 217.55/140.16 tff(constB70_type, type, (
% 217.55/140.16 constB70: state_type)).
% 217.55/140.16 tff(constB65_type, type, (
% 217.55/140.16 constB65: state_type)).
% 217.55/140.16 tff(constB64_type, type, (
% 217.55/140.16 constB64: state_type)).
% 217.55/140.16 tff(constB63_type, type, (
% 217.55/140.16 constB63: state_type)).
% 217.55/140.16 tff(constB62_type, type, (
% 217.55/140.16 constB62: state_type)).
% 217.55/140.16 tff(constB47_type, type, (
% 217.55/140.16 constB47: state_type)).
% 217.55/140.16 tff(constB48_type, type, (
% 217.55/140.16 constB48: state_type)).
% 217.55/140.16 tff(constB49_type, type, (
% 217.55/140.16 constB49: state_type)).
% 217.55/140.16 tff(constB50_type, type, (
% 217.55/140.16 constB50: state_type)).
% 217.55/140.16 tff(constB58_type, type, (
% 217.55/140.16 constB58: state_type)).
% 217.55/140.16 tff(constB54_type, type, (
% 217.55/140.16 constB54: state_type)).
% 217.55/140.16 tff(constB53_type, type, (
% 217.55/140.16 constB53: state_type)).
% 217.55/140.16 tff(constB52_type, type, (
% 217.55/140.16 constB52: state_type)).
% 217.55/140.16 tff(constB51_type, type, (
% 217.55/140.16 constB51: state_type)).
% 217.55/140.16 tff(constB33_type, type, (
% 217.55/140.16 constB33: state_type)).
% 217.55/140.16 tff(constB29_type, type, (
% 217.55/140.16 constB29: state_type)).
% 217.55/140.16 tff(constB28_type, type, (
% 217.55/140.16 constB28: state_type)).
% 217.55/140.16 tff(constB19_type, type, (
% 217.55/140.16 constB19: state_type)).
% 217.55/140.16 tff(constB18_type, type, (
% 217.55/140.16 constB18: state_type)).
% 217.55/140.16 tff(constB17_type, type, (
% 217.55/140.16 constB17: state_type)).
% 217.55/140.16 tff(constB15_type, type, (
% 217.55/140.16 constB15: state_type)).
% 217.55/140.16 tff(constB14_type, type, (
% 217.55/140.16 constB14: state_type)).
% 217.55/140.16 tff(constB13_type, type, (
% 217.55/140.16 constB13: state_type)).
% 217.55/140.16 tff(constB12_type, type, (
% 217.55/140.16 constB12: state_type)).
% 217.55/140.16 tff(constB11_type, type, (
% 217.55/140.16 constB11: state_type)).
% 217.55/140.16 tff(constB9_type, type, (
% 217.55/140.16 constB9: state_type)).
% 217.55/140.16 tff(constB23_type, type, (
% 217.55/140.16 constB23: state_type)).
% 217.55/140.16 tff(constB10_type, type, (
% 217.55/140.16 constB10: state_type)).
% 217.55/140.16 tff(constB16_type, type, (
% 217.55/140.16 constB16: state_type)).
% 217.55/140.16 tff(constB20_type, type, (
% 217.55/140.16 constB20: state_type)).
% 217.55/140.16 tff(constB21_type, type, (
% 217.55/140.16 constB21: state_type)).
% 217.55/140.16 tff(constB22_type, type, (
% 217.55/140.16 constB22: state_type)).
% 217.55/140.16 tff(constB8_type, type, (
% 217.55/140.16 constB8: state_type)).
% 217.55/140.16 tff(constB7_type, type, (
% 217.55/140.16 constB7: state_type)).
% 217.55/140.16 tff(constB37_type, type, (
% 217.55/140.16 constB37: state_type)).
% 217.55/140.16 tff(constB4_type, type, (
% 217.55/140.16 constB4: state_type)).
% 217.55/140.16 tff(constB3_type, type, (
% 217.55/140.16 constB3: state_type)).
% 217.55/140.16 tff(constB2_type, type, (
% 217.55/140.16 constB2: state_type)).
% 217.55/140.16 tff(constB1_type, type, (
% 217.55/140.16 constB1: state_type)).
% 217.55/140.16 tff(constB0_type, type, (
% 217.55/140.16 constB0: state_type)).
% 217.55/140.16 tff(constB5_type, type, (
% 217.55/140.16 constB5: state_type)).
% 217.55/140.16 tff(constB6_type, type, (
% 217.55/140.16 constB6: state_type)).
% 217.55/140.16 tff(constB39_type, type, (
% 217.55/140.16 constB39: state_type)).
% 217.55/140.16 tff(constB40_type, type, (
% 217.55/140.16 constB40: state_type)).
% 217.55/140.16 tff(constB38_type, type, (
% 217.55/140.16 constB38: state_type)).
% 217.55/140.16 tff(constB35_type, type, (
% 217.55/140.16 constB35: state_type)).
% 217.55/140.16 tff(constB34_type, type, (
% 217.55/140.16 constB34: state_type)).
% 217.55/140.16 tff(constB32_type, type, (
% 217.55/140.16 constB32: state_type)).
% 217.55/140.16 tff(constB31_type, type, (
% 217.55/140.16 constB31: state_type)).
% 217.55/140.16 tff(constB30_type, type, (
% 217.55/140.16 constB30: state_type)).
% 217.55/140.16 tff(constB27_type, type, (
% 217.55/140.16 constB27: state_type)).
% 217.55/140.16 tff(constB26_type, type, (
% 217.55/140.16 constB26: state_type)).
% 217.55/140.16 tff(constB25_type, type, (
% 217.55/140.16 constB25: state_type)).
% 217.55/140.16 tff(constB24_type, type, (
% 217.55/140.16 constB24: state_type)).
% 217.55/140.16 tff(constB36_type, type, (
% 217.55/140.16 constB36: state_type)).
% 217.55/140.16 tff(constB46_type, type, (
% 217.55/140.16 constB46: state_type)).
% 217.55/140.16 tff(constB45_type, type, (
% 217.55/140.16 constB45: state_type)).
% 217.55/140.16 tff(constB44_type, type, (
% 217.55/140.16 constB44: state_type)).
% 217.55/140.16 tff(constB43_type, type, (
% 217.55/140.16 constB43: state_type)).
% 217.55/140.16 tff(constB42_type, type, (
% 217.55/140.16 constB42: state_type)).
% 217.55/140.16 tff(constB41_type, type, (
% 217.55/140.16 constB41: state_type)).
% 217.55/140.16 tff(v172_type, type, (
% 217.55/140.16 v172: state_type > $o)).
% 217.55/140.16 tff(v171_type, type, (
% 217.55/140.16 v171: state_type > $o)).
% 217.55/140.16 tff(v130_type, type, (
% 217.55/140.16 v130: state_type > $o)).
% 217.55/140.16 tff(v152_type, type, (
% 217.55/140.16 v152: state_type > $o)).
% 217.55/140.16 tff(v150_type, type, (
% 217.55/140.16 v150: state_type > $o)).
% 217.55/140.16 tff(v155_type, type, (
% 217.55/140.16 v155: state_type > $o)).
% 217.55/140.16 tff(v153_type, type, (
% 217.55/140.16 v153: state_type > $o)).
% 217.55/140.16 tff(v154_type, type, (
% 217.55/140.16 v154: state_type > $o)).
% 217.55/140.16 tff(v132_type, type, (
% 217.55/140.16 v132: state_type > $o)).
% 217.55/140.16 tff(v137_type, type, (
% 217.55/140.16 v137: state_type > $o)).
% 217.55/140.16 tff(v135_type, type, (
% 217.55/140.16 v135: state_type > $o)).
% 217.55/140.16 tff(v142_type, type, (
% 217.55/140.16 v142: state_type > $o)).
% 217.55/140.16 tff(v138_type, type, (
% 217.55/140.16 v138: state_type > $o)).
% 217.55/140.16 tff(v139_type, type, (
% 217.55/140.16 v139: state_type > $o)).
% 217.55/140.16 tff(v144_type, type, (
% 217.55/140.16 v144: state_type > $o)).
% 217.55/140.16 tff(v143_type, type, (
% 217.55/140.16 v143: state_type > $o)).
% 217.55/140.16 tff(v145_type, type, (
% 217.55/140.16 v145: state_type > $o)).
% 217.55/140.16 tff(v141_type, type, (
% 217.55/140.16 v141: state_type > $o)).
% 217.55/140.16 tff(v140_type, type, (
% 217.55/140.16 v140: state_type > $o)).
% 217.55/140.16 tff(v9_type, type, (
% 217.55/140.16 v9: state_type > $o)).
% 217.55/140.16 tff(v39_type, type, (
% 217.55/140.16 v39: state_type > $o)).
% 217.55/140.16 tff(v13_type, type, (
% 217.55/140.16 v13: state_type > $o)).
% 217.55/140.16 tff(v6_type, type, (
% 217.55/140.16 v6: state_type > $o)).
% 217.55/140.16 tff(v21_type, type, (
% 217.55/140.16 v21: state_type > $o)).
% 217.55/140.16 tff(v20_type, type, (
% 217.55/140.16 v20: state_type > $o)).
% 217.55/140.16 tff(v19_type, type, (
% 217.55/140.16 v19: state_type > $o)).
% 217.55/140.16 tff(v22_type, type, (
% 217.55/140.16 v22: state_type > $o)).
% 217.55/140.16 tff(v18_type, type, (
% 217.55/140.16 v18: state_type > $o)).
% 217.55/140.16 tff(v4_type, type, (
% 217.55/140.16 v4: state_type > $o)).
% 217.55/140.16 tff(v164_type, type, (
% 217.55/140.16 v164: state_type > $o)).
% 217.55/140.16 tff(v163_type, type, (
% 217.55/140.16 v163: state_type > $o)).
% 217.55/140.16 tff(v160_type, type, (
% 217.55/140.16 v160: state_type > $o)).
% 217.55/140.16 tff(v162_type, type, (
% 217.55/140.16 v162: state_type > $o)).
% 217.55/140.16 tff(v128_type, type, (
% 217.55/140.16 v128: state_type > $o)).
% 217.55/140.16 tff(tptp_fun_VarCurr_0_type, type, (
% 217.55/140.16 tptp_fun_VarCurr_0: state_type)).
% 217.55/140.16 tff(constB187_type, type, (
% 217.55/140.16 constB187: state_type)).
% 217.55/140.16 tff(constB185_type, type, (
% 217.55/140.16 constB185: state_type)).
% 217.55/140.16 tff(constB184_type, type, (
% 217.55/140.16 constB184: state_type)).
% 217.55/140.16 tff(constB183_type, type, (
% 217.55/140.16 constB183: state_type)).
% 217.55/140.16 tff(constB182_type, type, (
% 217.55/140.16 constB182: state_type)).
% 217.55/140.16 tff(constB181_type, type, (
% 217.55/140.16 constB181: state_type)).
% 217.55/140.16 tff(constB180_type, type, (
% 217.55/140.16 constB180: state_type)).
% 217.55/140.16 tff(constB179_type, type, (
% 217.55/140.16 constB179: state_type)).
% 217.55/140.16 tff(constB178_type, type, (
% 217.55/140.16 constB178: state_type)).
% 217.55/140.16 tff(constB177_type, type, (
% 217.55/140.16 constB177: state_type)).
% 217.55/140.16 tff(constB176_type, type, (
% 217.55/140.16 constB176: state_type)).
% 217.55/140.16 tff(constB172_type, type, (
% 217.55/140.16 constB172: state_type)).
% 217.55/140.16 tff(constB171_type, type, (
% 217.55/140.16 constB171: state_type)).
% 217.55/140.16 tff(constB167_type, type, (
% 217.55/140.16 constB167: state_type)).
% 217.55/140.16 tff(constB162_type, type, (
% 217.55/140.16 constB162: state_type)).
% 217.55/140.16 tff(constB147_type, type, (
% 217.55/140.16 constB147: state_type)).
% 217.55/140.16 tff(constB136_type, type, (
% 217.55/140.16 constB136: state_type)).
% 217.55/140.16 tff(constB135_type, type, (
% 217.55/140.16 constB135: state_type)).
% 217.55/140.16 tff(constB134_type, type, (
% 217.55/140.16 constB134: state_type)).
% 217.55/140.16 tff(constB133_type, type, (
% 217.55/140.16 constB133: state_type)).
% 217.55/140.16 tff(constB132_type, type, (
% 217.55/140.16 constB132: state_type)).
% 217.55/140.16 tff(constB131_type, type, (
% 217.55/140.16 constB131: state_type)).
% 217.55/140.16 tff(constB130_type, type, (
% 217.55/140.16 constB130: state_type)).
% 217.55/140.16 tff(constB129_type, type, (
% 217.55/140.16 constB129: state_type)).
% 217.55/140.16 tff(constB128_type, type, (
% 217.55/140.16 constB128: state_type)).
% 217.55/140.16 tff(constB127_type, type, (
% 217.55/140.16 constB127: state_type)).
% 217.55/140.16 tff(constB126_type, type, (
% 217.55/140.16 constB126: state_type)).
% 217.55/140.16 tff(constB121_type, type, (
% 217.55/140.16 constB121: state_type)).
% 217.55/140.16 tff(constB120_type, type, (
% 217.55/140.16 constB120: state_type)).
% 217.55/140.16 tff(constB118_type, type, (
% 217.55/140.16 constB118: state_type)).
% 217.55/140.16 tff(constB117_type, type, (
% 217.55/140.16 constB117: state_type)).
% 217.55/140.16 tff(constB116_type, type, (
% 217.55/140.16 constB116: state_type)).
% 217.55/140.16 tff(constB115_type, type, (
% 217.55/140.16 constB115: state_type)).
% 217.55/140.16 tff(constB114_type, type, (
% 217.55/140.16 constB114: state_type)).
% 217.55/140.16 tff(constB113_type, type, (
% 217.55/140.16 constB113: state_type)).
% 217.55/140.16 tff(constB112_type, type, (
% 217.55/140.16 constB112: state_type)).
% 217.55/140.16 tff(constB107_type, type, (
% 217.55/140.16 constB107: state_type)).
% 217.55/140.16 tff(constB105_type, type, (
% 217.55/140.16 constB105: state_type)).
% 217.55/140.16 tff(constB101_type, type, (
% 217.55/140.16 constB101: state_type)).
% 217.55/140.16 tff(constB100_type, type, (
% 217.55/140.16 constB100: state_type)).
% 217.55/140.16 tff(constB99_type, type, (
% 217.55/140.16 constB99: state_type)).
% 217.55/140.16 tff(constB98_type, type, (
% 217.55/140.16 constB98: state_type)).
% 217.55/140.16 tff(constB97_type, type, (
% 217.55/140.16 constB97: state_type)).
% 217.55/140.16 tff(constB96_type, type, (
% 217.55/140.16 constB96: state_type)).
% 217.55/140.16 tff(constB95_type, type, (
% 217.55/140.16 constB95: state_type)).
% 217.55/140.16 tff(constB94_type, type, (
% 217.55/140.16 constB94: state_type)).
% 217.55/140.16 tff(constB93_type, type, (
% 217.55/140.16 constB93: state_type)).
% 217.55/140.16 tff(constB88_type, type, (
% 217.55/140.16 constB88: state_type)).
% 217.55/140.16 tff(constB87_type, type, (
% 217.55/140.16 constB87: state_type)).
% 217.55/140.16 tff(constB86_type, type, (
% 217.55/140.16 constB86: state_type)).
% 217.55/140.16 tff(constB85_type, type, (
% 217.55/140.16 constB85: state_type)).
% 217.55/140.16 tff(constB92_type, type, (
% 217.55/140.16 constB92: state_type)).
% 217.55/140.16 tff(constB89_type, type, (
% 217.55/140.16 constB89: state_type)).
% 217.55/140.16 tff(constB90_type, type, (
% 217.55/140.16 constB90: state_type)).
% 217.55/140.16 tff(constB91_type, type, (
% 217.55/140.16 constB91: state_type)).
% 217.55/140.16 tff(constB102_type, type, (
% 217.55/140.16 constB102: state_type)).
% 217.55/140.16 tff(constB103_type, type, (
% 217.55/140.16 constB103: state_type)).
% 217.55/140.16 tff(constB104_type, type, (
% 217.55/140.16 constB104: state_type)).
% 217.55/140.16 tff(constB106_type, type, (
% 217.55/140.16 constB106: state_type)).
% 217.55/140.16 tff(constB111_type, type, (
% 217.55/140.16 constB111: state_type)).
% 217.55/140.16 tff(constB110_type, type, (
% 217.55/140.16 constB110: state_type)).
% 217.55/140.16 tff(constB109_type, type, (
% 217.55/140.16 constB109: state_type)).
% 217.55/140.16 tff(constB108_type, type, (
% 217.55/140.16 constB108: state_type)).
% 217.55/140.16 tff(constB119_type, type, (
% 217.55/140.16 constB119: state_type)).
% 217.55/140.16 tff(constB125_type, type, (
% 217.55/140.16 constB125: state_type)).
% 217.55/140.16 tff(constB123_type, type, (
% 217.55/140.16 constB123: state_type)).
% 217.55/140.16 tff(constB124_type, type, (
% 217.55/140.16 constB124: state_type)).
% 217.55/140.16 tff(constB122_type, type, (
% 217.55/140.16 constB122: state_type)).
% 217.55/140.16 tff(constB137_type, type, (
% 217.55/140.16 constB137: state_type)).
% 217.55/140.16 tff(constB138_type, type, (
% 217.55/140.16 constB138: state_type)).
% 217.55/140.16 tff(constB139_type, type, (
% 217.55/140.16 constB139: state_type)).
% 217.55/140.16 tff(constB145_type, type, (
% 217.55/140.16 constB145: state_type)).
% 217.55/140.16 tff(constB146_type, type, (
% 217.55/140.16 constB146: state_type)).
% 217.55/140.16 tff(constB140_type, type, (
% 217.55/140.16 constB140: state_type)).
% 217.55/140.16 tff(constB141_type, type, (
% 217.55/140.16 constB141: state_type)).
% 217.55/140.16 tff(constB149_type, type, (
% 217.55/140.16 constB149: state_type)).
% 217.55/140.16 tff(constB153_type, type, (
% 217.55/140.16 constB153: state_type)).
% 217.55/140.16 tff(constB151_type, type, (
% 217.55/140.16 constB151: state_type)).
% 217.55/140.16 tff(constB154_type, type, (
% 217.55/140.16 constB154: state_type)).
% 217.55/140.16 tff(constB155_type, type, (
% 217.55/140.16 constB155: state_type)).
% 217.55/140.16 tff(constB157_type, type, (
% 217.55/140.16 constB157: state_type)).
% 217.55/140.16 tff(constB158_type, type, (
% 217.55/140.16 constB158: state_type)).
% 217.55/140.16 tff(constB156_type, type, (
% 217.55/140.16 constB156: state_type)).
% 217.55/140.16 tff(constB159_type, type, (
% 217.55/140.16 constB159: state_type)).
% 217.55/140.16 tff(constB161_type, type, (
% 217.55/140.16 constB161: state_type)).
% 217.55/140.16 tff(constB160_type, type, (
% 217.55/140.16 constB160: state_type)).
% 217.55/140.16 tff(constB163_type, type, (
% 217.55/140.16 constB163: state_type)).
% 217.55/140.16 tff(constB168_type, type, (
% 217.55/140.16 constB168: state_type)).
% 217.55/140.16 tff(constB164_type, type, (
% 217.55/140.16 constB164: state_type)).
% 217.55/140.16 tff(constB165_type, type, (
% 217.55/140.16 constB165: state_type)).
% 217.55/140.16 tff(constB166_type, type, (
% 217.55/140.16 constB166: state_type)).
% 217.55/140.16 tff(constB152_type, type, (
% 217.55/140.16 constB152: state_type)).
% 217.55/140.16 tff(constB150_type, type, (
% 217.55/140.16 constB150: state_type)).
% 217.55/140.16 tff(constB148_type, type, (
% 217.55/140.16 constB148: state_type)).
% 217.55/140.16 tff(constB143_type, type, (
% 217.55/140.16 constB143: state_type)).
% 217.55/140.16 tff(constB142_type, type, (
% 217.55/140.16 constB142: state_type)).
% 217.55/140.16 tff(constB144_type, type, (
% 217.55/140.16 constB144: state_type)).
% 217.55/140.16 tff(constB170_type, type, (
% 217.55/140.16 constB170: state_type)).
% 217.55/140.16 tff(constB169_type, type, (
% 217.55/140.16 constB169: state_type)).
% 217.55/140.16 tff(constB173_type, type, (
% 217.55/140.16 constB173: state_type)).
% 217.55/140.16 tff(constB175_type, type, (
% 217.55/140.16 constB175: state_type)).
% 217.55/140.16 tff(constB174_type, type, (
% 217.55/140.16 constB174: state_type)).
% 217.55/140.16 tff(v170_type, type, (
% 217.55/140.16 v170: state_type > $o)).
% 217.55/140.16 tff(v169_type, type, (
% 217.55/140.16 v169: state_type > $o)).
% 217.55/140.16 tff(v168_type, type, (
% 217.55/140.16 v168: state_type > $o)).
% 217.55/140.16 tff(v82_type, type, (
% 217.55/140.16 v82: state_type > $o)).
% 217.55/140.16 tff(reachableState_type, type, (
% 217.55/140.16 reachableState: state_type > $o)).
% 217.55/140.16 tff(constB186_type, type, (
% 217.55/140.16 constB186: state_type)).
% 217.55/140.16 tff(constB194_type, type, (
% 217.55/140.16 constB194: state_type)).
% 217.55/140.16 tff(constB193_type, type, (
% 217.55/140.16 constB193: state_type)).
% 217.55/140.16 tff(constB192_type, type, (
% 217.55/140.16 constB192: state_type)).
% 217.55/140.16 tff(constB189_type, type, (
% 217.55/140.16 constB189: state_type)).
% 217.55/140.16 tff(constB188_type, type, (
% 217.55/140.16 constB188: state_type)).
% 217.55/140.16 tff(constB191_type, type, (
% 217.55/140.16 constB191: state_type)).
% 217.55/140.16 tff(constB190_type, type, (
% 217.55/140.16 constB190: state_type)).
% 217.55/140.16 tff(constB195_type, type, (
% 217.55/140.16 constB195: state_type)).
% 217.55/140.16 tff(constB196_type, type, (
% 217.55/140.16 constB196: state_type)).
% 217.55/140.16 tff(constB197_type, type, (
% 217.55/140.16 constB197: state_type)).
% 217.55/140.16 tff(constB198_type, type, (
% 217.55/140.16 constB198: state_type)).
% 217.55/140.16 tff(constB199_type, type, (
% 217.55/140.16 constB199: state_type)).
% 217.55/140.16 tff(constB200_type, type, (
% 217.55/140.16 constB200: state_type)).
% 217.55/140.16 tff(1,assumption,(~v94(constB80)), introduced(assumption)).
% 217.55/140.16 tff(2,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext)))))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(3,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext)))))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[2])).
% 217.55/140.16 tff(4,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext)))))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(5,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[4])).
% 217.55/140.16 tff(6,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(7,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : rewrite((nextState(VarCurr, VarNext) => (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(8,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[7])).
% 217.55/140.16 tff(9,axiom,(![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_27')).
% 217.55/140.16 tff(10,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[9, 8])).
% 217.55/140.16 tff(11,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[10, 6])).
% 217.55/140.16 tff(12,plain,(
% 217.55/140.16 ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 217.55/140.16 inference(skolemize,[status(sab)],[11])).
% 217.55/140.16 tff(13,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[12, 5])).
% 217.55/140.16 tff(14,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[13, 3])).
% 217.55/140.16 tff(15,plain,
% 217.55/140.16 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(16,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79')).
% 217.55/140.16 tff(17,plain,
% 217.55/140.16 (nextState(constB79, constB80)),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[16, 15])).
% 217.55/140.16 tff(18,plain,
% 217.55/140.16 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80))))))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(19,plain,
% 217.55/140.16 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80))))))),
% 217.55/140.16 inference(quant_inst,[status(thm)],[])).
% 217.55/140.16 tff(20,plain,
% 217.55/140.16 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80)))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[19, 18])).
% 217.55/140.16 tff(21,plain,
% 217.55/140.16 (v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80))))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[20, 17, 14])).
% 217.55/140.16 tff(22,plain,
% 217.55/140.16 ((~(v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80)))))) | v94(constB80) | ((~v95(constB80)) | (~v104(constB80)))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(23,plain,
% 217.55/140.16 (v94(constB80) | ((~v95(constB80)) | (~v104(constB80)))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[22, 21])).
% 217.55/140.16 tff(24,plain,
% 217.55/140.16 ((~v95(constB80)) | (~v104(constB80))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[23, 1])).
% 217.55/140.16 tff(25,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(26,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[25])).
% 217.55/140.16 tff(27,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(28,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[27])).
% 217.55/140.16 tff(29,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(30,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : rewrite((nextState(VarCurr, VarNext) => (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(31,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[30])).
% 217.55/140.16 tff(32,axiom,(![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_18')).
% 217.55/140.16 tff(33,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[32, 31])).
% 217.55/140.16 tff(34,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[33, 29])).
% 217.55/140.16 tff(35,plain,(
% 217.55/140.16 ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 217.55/140.16 inference(skolemize,[status(sab)],[34])).
% 217.55/140.16 tff(36,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[35, 28])).
% 217.55/140.16 tff(37,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[36, 26])).
% 217.55/140.16 tff(38,plain,
% 217.55/140.16 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(39,plain,
% 217.55/140.16 (((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80)))))) <=> ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(40,plain,
% 217.55/140.16 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80)))))))),
% 217.55/140.16 inference(monotonicity,[status(thm)],[39])).
% 217.55/140.16 tff(41,plain,
% 217.55/140.16 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))),
% 217.55/140.16 inference(transitivity,[status(thm)],[40, 38])).
% 217.55/140.16 tff(42,plain,
% 217.55/140.16 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80))))))),
% 217.55/140.16 inference(quant_inst,[status(thm)],[])).
% 217.55/140.16 tff(43,plain,
% 217.55/140.16 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80)))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[42, 41])).
% 217.55/140.16 tff(44,plain,
% 217.55/140.16 (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[43, 17, 37])).
% 217.55/140.16 tff(45,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : refl(((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(46,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[45])).
% 217.55/140.16 tff(47,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(48,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : rewrite((nextState(VarCurr, VarNext) => ((~v96(VarNext)) <=> v98(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(49,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => ((~v96(VarNext)) <=> v98(VarNext))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[48])).
% 217.55/140.16 tff(50,axiom,(![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => ((~v96(VarNext)) <=> v98(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_12')).
% 217.55/140.16 tff(51,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[50, 49])).
% 217.55/140.16 tff(52,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[51, 47])).
% 217.55/140.16 tff(53,plain,(
% 217.55/140.16 ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 217.55/140.16 inference(skolemize,[status(sab)],[52])).
% 217.55/140.16 tff(54,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[53, 46])).
% 217.55/140.16 tff(55,plain,
% 217.55/140.16 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80)))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(56,plain,
% 217.55/140.16 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80)))),
% 217.55/140.16 inference(quant_inst,[status(thm)],[])).
% 217.55/140.16 tff(57,plain,
% 217.55/140.16 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[56, 55])).
% 217.55/140.16 tff(58,plain,
% 217.55/140.16 ((~v96(constB80)) <=> v98(constB80)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[57, 17, 54])).
% 217.55/140.16 tff(59,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(60,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[59])).
% 217.55/140.16 tff(61,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(62,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : rewrite((nextState(VarCurr, VarNext) => (v98(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(63,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => (v98(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[62])).
% 217.55/140.16 tff(64,axiom,(![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => (v98(VarNext) <=> v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5')).
% 217.55/140.16 tff(65,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[64, 63])).
% 217.55/140.16 tff(66,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[65, 61])).
% 217.55/140.16 tff(67,plain,(
% 217.55/140.16 ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 217.55/140.16 inference(skolemize,[status(sab)],[66])).
% 217.55/140.16 tff(68,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[67, 60])).
% 217.55/140.16 tff(69,plain,
% 217.55/140.16 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79)))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(70,plain,
% 217.55/140.16 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79)))),
% 217.55/140.16 inference(quant_inst,[status(thm)],[])).
% 217.55/140.16 tff(71,plain,
% 217.55/140.16 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[70, 69])).
% 217.55/140.16 tff(72,plain,
% 217.55/140.16 (v98(constB80) <=> v1(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[71, 17, 68])).
% 217.55/140.16 tff(73,plain,
% 217.55/140.16 ((~v1(constB79)) <=> (~v1(constB79))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(74,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79')).
% 217.55/140.16 tff(75,plain,
% 217.55/140.16 (~v1(constB79)),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[74, 73])).
% 217.55/140.16 tff(76,plain,
% 217.55/140.16 ((~(v98(constB80) <=> v1(constB79))) | (~v98(constB80)) | v1(constB79)),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(77,plain,
% 217.55/140.16 ((~(v98(constB80) <=> v1(constB79))) | (~v98(constB80))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[76, 75])).
% 217.55/140.16 tff(78,plain,
% 217.55/140.16 (~v98(constB80)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[77, 72])).
% 217.55/140.16 tff(79,plain,
% 217.55/140.16 ((~((~v96(constB80)) <=> v98(constB80))) | v96(constB80) | v98(constB80)),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(80,plain,
% 217.55/140.16 (v96(constB80)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[79, 78, 58])).
% 217.55/140.16 tff(81,plain,
% 217.55/140.16 (v1(constB80) <=> v1(constB80)),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(82,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80')).
% 217.55/140.16 tff(83,plain,
% 217.55/140.16 (v1(constB80)),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[82, 81])).
% 217.55/140.16 tff(84,plain,
% 217.55/140.16 ((~((~v1(constB80)) | (~v96(constB80)))) | (~v1(constB80)) | (~v96(constB80))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(85,plain,
% 217.55/140.16 ((~((~v1(constB80)) | (~v96(constB80)))) | (~v96(constB80))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[84, 83])).
% 217.55/140.16 tff(86,plain,
% 217.55/140.16 (~((~v1(constB80)) | (~v96(constB80)))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[85, 80])).
% 217.55/140.16 tff(87,plain,
% 217.55/140.16 ((~(v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80)))))) | v95(constB80) | ((~v1(constB80)) | (~v96(constB80)))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(88,plain,
% 217.55/140.16 (v95(constB80)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[87, 86, 44])).
% 217.55/140.16 tff(89,plain,
% 217.55/140.16 ((~((~v95(constB80)) | (~v104(constB80)))) | (~v95(constB80)) | (~v104(constB80))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(90,plain,
% 217.55/140.16 ((~((~v95(constB80)) | (~v104(constB80)))) | (~v104(constB80))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[89, 88])).
% 217.55/140.16 tff(91,plain,
% 217.55/140.16 (~v104(constB80)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[90, 24])).
% 217.55/140.16 tff(92,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(93,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[92])).
% 217.55/140.16 tff(94,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(95,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : rewrite((nextState(VarCurr, VarNext) => (v104(VarNext) <=> v102(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(96,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v102(VarCurr))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[95])).
% 217.55/140.16 tff(97,axiom,(![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v102(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6')).
% 217.55/140.16 tff(98,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[97, 96])).
% 217.55/140.16 tff(99,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[98, 94])).
% 217.55/140.16 tff(100,plain,(
% 217.55/140.16 ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 217.55/140.16 inference(skolemize,[status(sab)],[99])).
% 217.55/140.16 tff(101,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[100, 93])).
% 217.55/140.16 tff(102,plain,
% 217.55/140.16 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79)))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(103,plain,
% 217.55/140.16 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79)))),
% 217.55/140.16 inference(quant_inst,[status(thm)],[])).
% 217.55/140.16 tff(104,plain,
% 217.55/140.16 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[103, 102])).
% 217.55/140.16 tff(105,plain,
% 217.55/140.16 (v104(constB80) <=> v102(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[104, 17, 101])).
% 217.55/140.16 tff(106,plain,
% 217.55/140.16 ((~(v104(constB80) <=> v102(constB79))) | v104(constB80) | (~v102(constB79))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(107,plain,
% 217.55/140.16 (v104(constB80) | (~v102(constB79))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[106, 105])).
% 217.55/140.16 tff(108,plain,
% 217.55/140.16 (~v102(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[107, 91])).
% 217.55/140.16 tff(109,plain,
% 217.55/140.16 (^[VarCurr: state_type] : refl((v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))) <=> (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(110,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))) <=> ![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[109])).
% 217.55/140.16 tff(111,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))) <=> ![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(112,axiom,(![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_26')).
% 217.55/140.16 tff(113,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[112, 111])).
% 217.55/140.16 tff(114,plain,(
% 217.55/140.16 ![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 217.55/140.16 inference(skolemize,[status(sab)],[113])).
% 217.55/140.16 tff(115,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[114, 110])).
% 217.55/140.16 tff(116,plain,
% 217.55/140.16 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB79) <=> (v105(constB79) | v106(constB79)))),
% 217.55/140.16 inference(quant_inst,[status(thm)],[])).
% 217.55/140.16 tff(117,plain,
% 217.55/140.16 (v102(constB79) <=> (v105(constB79) | v106(constB79))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[116, 115])).
% 217.55/140.16 tff(118,plain,
% 217.55/140.16 ((~(v102(constB79) <=> (v105(constB79) | v106(constB79)))) | v102(constB79) | (~(v105(constB79) | v106(constB79)))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(119,plain,
% 217.55/140.16 (v102(constB79) | (~(v105(constB79) | v106(constB79)))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[118, 117])).
% 217.55/140.16 tff(120,plain,
% 217.55/140.16 (~(v105(constB79) | v106(constB79))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[119, 108])).
% 217.55/140.16 tff(121,plain,
% 217.55/140.16 ((v105(constB79) | v106(constB79)) | (~v106(constB79))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(122,plain,
% 217.55/140.16 (~v106(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[121, 120])).
% 217.55/140.16 tff(123,plain,
% 217.55/140.16 (^[VarCurr: state_type] : refl((v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))) <=> (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(124,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))) <=> ![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[123])).
% 217.55/140.16 tff(125,plain,
% 217.55/140.16 (^[VarCurr: state_type] : rewrite((v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr))) <=> (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(126,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr))) <=> ![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[125])).
% 217.55/140.16 tff(127,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr))) <=> ![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(128,axiom,(![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_25')).
% 217.55/140.16 tff(129,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[128, 127])).
% 217.55/140.16 tff(130,plain,(
% 217.55/140.16 ![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))),
% 217.55/140.16 inference(skolemize,[status(sab)],[129])).
% 217.55/140.16 tff(131,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[130, 126])).
% 217.55/140.16 tff(132,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[131, 124])).
% 217.55/140.16 tff(133,plain,
% 217.55/140.16 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB79) <=> (~((~v107(constB79)) | (~v120(constB79)))))),
% 217.55/140.16 inference(quant_inst,[status(thm)],[])).
% 217.55/140.16 tff(134,plain,
% 217.55/140.16 (v106(constB79) <=> (~((~v107(constB79)) | (~v120(constB79))))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[133, 132])).
% 217.55/140.16 tff(135,plain,
% 217.55/140.16 ((~(v106(constB79) <=> (~((~v107(constB79)) | (~v120(constB79)))))) | v106(constB79) | ((~v107(constB79)) | (~v120(constB79)))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(136,plain,
% 217.55/140.16 (v106(constB79) | ((~v107(constB79)) | (~v120(constB79)))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[135, 134])).
% 217.55/140.16 tff(137,plain,
% 217.55/140.16 ((~v107(constB79)) | (~v120(constB79))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[136, 122])).
% 217.55/140.16 tff(138,plain,
% 217.55/140.16 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) <=> v105(VarCurr)) <=> ((~v120(VarCurr)) <=> v105(VarCurr)))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(139,plain,
% 217.55/140.16 (![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[138])).
% 217.55/140.16 tff(140,plain,
% 217.55/140.16 (![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(141,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_13')).
% 217.55/140.16 tff(142,plain,
% 217.55/140.16 (![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[141, 140])).
% 217.55/140.16 tff(143,plain,(
% 217.55/140.16 ![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 217.55/140.16 inference(skolemize,[status(sab)],[142])).
% 217.55/140.16 tff(144,plain,
% 217.55/140.16 (![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[143, 139])).
% 217.55/140.16 tff(145,plain,
% 217.55/140.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB79)) <=> v105(constB79))),
% 217.55/140.16 inference(quant_inst,[status(thm)],[])).
% 217.55/140.16 tff(146,plain,
% 217.55/140.16 ((~v120(constB79)) <=> v105(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[145, 144])).
% 217.55/140.16 tff(147,plain,
% 217.55/140.16 (^[VarCurr: state_type] : refl((v105(VarCurr) <=> v26(VarCurr)) <=> (v105(VarCurr) <=> v26(VarCurr)))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(148,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[147])).
% 217.55/140.16 tff(149,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(150,plain,
% 217.55/140.16 (^[VarCurr: state_type] : rewrite((v105(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> (v105(VarCurr) <=> v26(VarCurr)))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(151,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v105(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> ![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[150])).
% 217.55/140.16 tff(152,axiom,(![VarCurr: state_type] : (v105(VarCurr) <=> (v26(VarCurr) <=> $true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_1')).
% 217.55/140.16 tff(153,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[152, 151])).
% 217.55/140.16 tff(154,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[153, 149])).
% 217.55/140.16 tff(155,plain,(
% 217.55/140.16 ![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 217.55/140.16 inference(skolemize,[status(sab)],[154])).
% 217.55/140.16 tff(156,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[155, 148])).
% 217.55/140.16 tff(157,plain,
% 217.55/140.16 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB79) <=> v26(constB79))),
% 217.55/140.16 inference(quant_inst,[status(thm)],[])).
% 217.55/140.16 tff(158,plain,
% 217.55/140.16 (v105(constB79) <=> v26(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[157, 156])).
% 217.55/140.16 tff(159,plain,
% 217.55/140.16 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(160,plain,
% 217.55/140.16 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[159])).
% 217.55/140.16 tff(161,plain,
% 217.55/140.16 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(162,plain,
% 217.55/140.16 (^[VarCurr: state_type] : rewrite((v26(VarCurr) <=> $false) <=> (~v26(VarCurr)))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(163,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v26(VarCurr) <=> $false) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[162])).
% 217.55/140.16 tff(164,axiom,(![VarCurr: state_type] : (v26(VarCurr) <=> $false)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1')).
% 217.55/140.16 tff(165,plain,
% 217.55/140.16 (![VarCurr: state_type] : (~v26(VarCurr))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[164, 163])).
% 217.55/140.16 tff(166,plain,
% 217.55/140.16 (![VarCurr: state_type] : (~v26(VarCurr))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[165, 161])).
% 217.55/140.16 tff(167,plain,(
% 217.55/140.16 ![VarCurr: state_type] : (~v26(VarCurr))),
% 217.55/140.16 inference(skolemize,[status(sab)],[166])).
% 217.55/140.16 tff(168,plain,
% 217.55/140.16 (![VarCurr: state_type] : (~v26(VarCurr))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[167, 160])).
% 217.55/140.16 tff(169,plain,
% 217.55/140.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 217.55/140.16 inference(quant_inst,[status(thm)],[])).
% 217.55/140.16 tff(170,plain,
% 217.55/140.16 (~v26(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[169, 168])).
% 217.55/140.16 tff(171,plain,
% 217.55/140.16 ((~(v105(constB79) <=> v26(constB79))) | (~v105(constB79)) | v26(constB79)),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(172,plain,
% 217.55/140.16 ((~(v105(constB79) <=> v26(constB79))) | (~v105(constB79))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[171, 170])).
% 217.55/140.16 tff(173,plain,
% 217.55/140.16 (~v105(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[172, 158])).
% 217.55/140.16 tff(174,plain,
% 217.55/140.16 ((~((~v120(constB79)) <=> v105(constB79))) | v120(constB79) | v105(constB79)),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(175,plain,
% 217.55/140.16 ((~((~v120(constB79)) <=> v105(constB79))) | v120(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[174, 173])).
% 217.55/140.16 tff(176,plain,
% 217.55/140.16 (v120(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[175, 146])).
% 217.55/140.16 tff(177,plain,
% 217.55/140.16 ((~((~v107(constB79)) | (~v120(constB79)))) | (~v107(constB79)) | (~v120(constB79))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(178,plain,
% 217.55/140.16 ((~((~v107(constB79)) | (~v120(constB79)))) | (~v107(constB79))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[177, 176])).
% 217.55/140.16 tff(179,plain,
% 217.55/140.16 (~v107(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[178, 137])).
% 217.55/140.16 tff(180,assumption,(~(v107(constB79) <=> (v108(constB79) | v119(constB79)))), introduced(assumption)).
% 217.55/140.16 tff(181,plain,
% 217.55/140.16 (^[VarCurr: state_type] : refl((v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))) <=> (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(182,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))) <=> ![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[181])).
% 217.55/140.16 tff(183,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))) <=> ![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(184,axiom,(![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_24')).
% 217.55/140.16 tff(185,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[184, 183])).
% 217.55/140.16 tff(186,plain,(
% 217.55/140.16 ![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 217.55/140.16 inference(skolemize,[status(sab)],[185])).
% 217.55/140.16 tff(187,plain,
% 217.55/140.16 (![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 217.55/140.16 inference(modus_ponens,[status(thm)],[186, 182])).
% 217.55/140.16 tff(188,plain,
% 217.55/140.16 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB79) <=> (v108(constB79) | v119(constB79)))),
% 217.55/140.16 inference(quant_inst,[status(thm)],[])).
% 217.55/140.16 tff(189,plain,
% 217.55/140.16 ($false),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[188, 187, 180])).
% 217.55/140.16 tff(190,plain,(v107(constB79) <=> (v108(constB79) | v119(constB79))), inference(lemma,lemma(discharge,[]))).
% 217.55/140.16 tff(191,plain,
% 217.55/140.16 ((~(v107(constB79) <=> (v108(constB79) | v119(constB79)))) | v107(constB79) | (~(v108(constB79) | v119(constB79)))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(192,plain,
% 217.55/140.16 (v107(constB79) | (~(v108(constB79) | v119(constB79)))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[191, 190])).
% 217.55/140.16 tff(193,plain,
% 217.55/140.16 (~(v108(constB79) | v119(constB79))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[192, 179])).
% 217.55/140.16 tff(194,assumption,(~(v108(constB79) | v119(constB79))), introduced(assumption)).
% 217.55/140.16 tff(195,plain,
% 217.55/140.16 ((~(v107(constB79) <=> (v108(constB79) | v119(constB79)))) | (~v107(constB79)) | (v108(constB79) | v119(constB79))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(196,plain,
% 217.55/140.16 ((~v107(constB79)) | (v108(constB79) | v119(constB79))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[195, 190])).
% 217.55/140.16 tff(197,plain,
% 217.55/140.16 (~v107(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[196, 194])).
% 217.55/140.16 tff(198,plain,
% 217.55/140.16 (((~v107(constB79)) | (~v120(constB79))) | v107(constB79)),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(199,plain,
% 217.55/140.16 ((~v107(constB79)) | (~v120(constB79))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[198, 197])).
% 217.55/140.16 tff(200,plain,
% 217.55/140.16 ((~(v106(constB79) <=> (~((~v107(constB79)) | (~v120(constB79)))))) | (~v106(constB79)) | (~((~v107(constB79)) | (~v120(constB79))))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(201,plain,
% 217.55/140.16 ((~v106(constB79)) | (~((~v107(constB79)) | (~v120(constB79))))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[200, 134])).
% 217.55/140.16 tff(202,plain,
% 217.55/140.16 (~v106(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[201, 199])).
% 217.55/140.16 tff(203,plain,
% 217.55/140.16 ((~(v105(constB79) | v106(constB79))) | v105(constB79) | v106(constB79)),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(204,plain,
% 217.55/140.16 ((~(v105(constB79) | v106(constB79))) | v106(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[203, 173])).
% 217.55/140.16 tff(205,plain,
% 217.55/140.16 (~(v105(constB79) | v106(constB79))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[204, 202])).
% 217.55/140.16 tff(206,plain,
% 217.55/140.16 ((~(v102(constB79) <=> (v105(constB79) | v106(constB79)))) | (~v102(constB79)) | (v105(constB79) | v106(constB79))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(207,plain,
% 217.55/140.16 ((~v102(constB79)) | (v105(constB79) | v106(constB79))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[206, 117])).
% 217.55/140.16 tff(208,plain,
% 217.55/140.16 (~v102(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[207, 205])).
% 217.55/140.16 tff(209,plain,
% 217.55/140.16 ((~(v104(constB80) <=> v102(constB79))) | (~v104(constB80)) | v102(constB79)),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(210,plain,
% 217.55/140.16 ((~v104(constB80)) | v102(constB79)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[209, 105])).
% 217.55/140.16 tff(211,plain,
% 217.55/140.16 (~v104(constB80)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[210, 208])).
% 217.55/140.16 tff(212,plain,
% 217.55/140.16 (((~v95(constB80)) | (~v104(constB80))) | v104(constB80)),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(213,plain,
% 217.55/140.16 ((~v95(constB80)) | (~v104(constB80))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[212, 211])).
% 217.55/140.16 tff(214,plain,
% 217.55/140.16 ((~(v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80)))))) | (~v94(constB80)) | (~((~v95(constB80)) | (~v104(constB80))))),
% 217.55/140.16 inference(tautology,[status(thm)],[])).
% 217.55/140.16 tff(215,plain,
% 217.55/140.16 ((~v94(constB80)) | (~((~v95(constB80)) | (~v104(constB80))))),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[214, 21])).
% 217.55/140.16 tff(216,plain,
% 217.55/140.16 (~v94(constB80)),
% 217.55/140.16 inference(unit_resolution,[status(thm)],[215, 213])).
% 217.55/140.16 tff(217,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : refl((v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(218,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[217])).
% 217.55/140.16 tff(219,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : rewrite((v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(220,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[219])).
% 217.55/140.16 tff(221,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.55/140.16 inference(transitivity,[status(thm)],[220, 218])).
% 217.55/140.16 tff(222,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : rewrite((v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(223,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> ![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[222])).
% 217.55/140.16 tff(224,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : rewrite((v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v84(VarCurr, B)))))),
% 217.55/140.16 inference(bind,[status(th)],[])).
% 217.55/140.16 tff(225,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> ![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 217.55/140.16 inference(quant_intro,[status(thm)],[224])).
% 217.55/140.16 tff(226,plain,
% 217.55/140.16 (![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> ![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 217.55/140.16 inference(rewrite,[status(thm)],[])).
% 217.55/140.16 tff(227,plain,
% 217.55/140.16 (^[VarCurr: state_type, VarNext: state_type] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[B: $int] : trans(monotonicity(rewrite(($less(B, 3) & (~$less(B, 0))) <=> ((~$lesseq(3, B)) & $lesseq(0, B))), ((($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v84(VarCurr, B))) <=> (((~$lesseq(3, B)) & $lesseq(0, B)) => (v84(VarNext, B) <=> v84(VarCurr, B))))), rewrite((((~$lesseq(3, B)) & $lesseq(0, B)) => (v84(VarNext, B) <=> v84(VarCurr, B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B)))), ((($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v84(VarCurr, B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B)))))), (![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v84(VarCurr, B))) <=> ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B))))), (((~v94(VarNext)) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> ((~v94(VarNext)) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B)))))), rewrite(((~v94(VarNext)) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> (v94(VarNext) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B))))), (((~v94(VarNext)) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> (v94(VarNext) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B)))))), ((nextState(VarCurr, VarNext) => ((~v94(VarNext)) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v84(VarCurr, B))))) <=> (nextState(VarCurr, VarNext) => (v94(VarNext) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B))))))), rewrite((nextState(VarCurr, VarNext) => (v94(VarNext) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B))))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ((~v94(VarNext)) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v84(VarCurr, B))))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B))))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(228,plain,
% 217.55/140.17 (![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => ((~v94(VarNext)) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v84(VarCurr, B))))) <=> ![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[227])).
% 217.55/140.17 tff(229,axiom,(![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => ((~v94(VarNext)) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v84(VarCurr, B)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1')).
% 217.55/140.17 tff(230,plain,
% 217.55/140.17 (![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[229, 228])).
% 217.55/140.17 tff(231,plain,
% 217.55/140.17 (![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[230, 226])).
% 217.55/140.17 tff(232,plain,
% 217.55/140.17 (![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[231, 225])).
% 217.55/140.17 tff(233,plain,(
% 217.55/140.17 ![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 217.55/140.17 inference(skolemize,[status(sab)],[232])).
% 217.55/140.17 tff(234,plain,
% 217.55/140.17 (![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[233, 223])).
% 217.55/140.17 tff(235,plain,
% 217.55/140.17 (![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[234, 221])).
% 217.55/140.17 tff(236,plain,
% 217.55/140.17 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB80) | (~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB80) | (~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B))))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(237,plain,
% 217.55/140.17 ((v94(constB80) | (~nextState(constB79, constB80)) | ![B: $int] : ((v84(constB80, B) <=> v84(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB80) | (~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B))))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(238,plain,
% 217.55/140.17 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB80) | (~nextState(constB79, constB80)) | ![B: $int] : ((v84(constB80, B) <=> v84(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB80) | (~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[237])).
% 217.55/140.17 tff(239,plain,
% 217.55/140.17 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB80) | (~nextState(constB79, constB80)) | ![B: $int] : ((v84(constB80, B) <=> v84(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB80) | (~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B))))),
% 217.55/140.17 inference(transitivity,[status(thm)],[238, 236])).
% 217.55/140.17 tff(240,plain,
% 217.55/140.17 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB80) | (~nextState(constB79, constB80)) | ![B: $int] : ((v84(constB80, B) <=> v84(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(241,plain,
% 217.55/140.17 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB80) | (~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[240, 239])).
% 217.55/140.17 tff(242,plain,
% 217.55/140.17 (v94(constB80) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[241, 17, 235])).
% 217.55/140.17 tff(243,plain,
% 217.55/140.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[242, 216])).
% 217.55/140.17 tff(244,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 0) <=> v84(constB79, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 0) <=> v84(constB79, 0)))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(245,plain,
% 217.55/140.17 (($false | $false | (v84(constB80, 0) <=> v84(constB79, 0))) <=> (v84(constB80, 0) <=> v84(constB79, 0))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(246,plain,
% 217.55/140.17 ((~$true) <=> $false),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(247,plain,
% 217.55/140.17 ($greatereq(0, 0) <=> $true),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(248,plain,
% 217.55/140.17 ((~$greatereq(0, 0)) <=> (~$true)),
% 217.55/140.17 inference(monotonicity,[status(thm)],[247])).
% 217.55/140.17 tff(249,plain,
% 217.55/140.17 ((~$greatereq(0, 0)) <=> $false),
% 217.55/140.17 inference(transitivity,[status(thm)],[248, 246])).
% 217.55/140.17 tff(250,plain,
% 217.55/140.17 ($greatereq(0, 3) <=> $false),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(251,plain,
% 217.55/140.17 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB80, 0) <=> v84(constB79, 0))) <=> ($false | $false | (v84(constB80, 0) <=> v84(constB79, 0)))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[250, 249])).
% 217.55/140.17 tff(252,plain,
% 217.55/140.17 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB80, 0) <=> v84(constB79, 0))) <=> (v84(constB80, 0) <=> v84(constB79, 0))),
% 217.55/140.17 inference(transitivity,[status(thm)],[251, 245])).
% 217.55/140.17 tff(253,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB80, 0) <=> v84(constB79, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 0) <=> v84(constB79, 0)))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[252])).
% 217.55/140.17 tff(254,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB80, 0) <=> v84(constB79, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 0) <=> v84(constB79, 0)))),
% 217.55/140.17 inference(transitivity,[status(thm)],[253, 244])).
% 217.55/140.17 tff(255,plain,
% 217.55/140.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB80, 0) <=> v84(constB79, 0)))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(256,plain,
% 217.55/140.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 0) <=> v84(constB79, 0))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[255, 254])).
% 217.55/140.17 tff(257,plain,
% 217.55/140.17 (v84(constB80, 0) <=> v84(constB79, 0)),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[256, 243])).
% 217.55/140.17 tff(258,assumption,(v108(constB83) | v119(constB83)), introduced(assumption)).
% 217.55/140.17 tff(259,plain,
% 217.55/140.17 (^[VarCurr: state_type] : refl((v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))) <=> (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(260,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))) <=> ![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[259])).
% 217.55/140.17 tff(261,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))) <=> ![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(262,axiom,(![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_21')).
% 217.55/140.17 tff(263,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[262, 261])).
% 217.55/140.17 tff(264,plain,(
% 217.55/140.17 ![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 217.55/140.17 inference(skolemize,[status(sab)],[263])).
% 217.55/140.17 tff(265,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[264, 260])).
% 217.55/140.17 tff(266,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB82) <=> (v111(constB82) | v116(constB82)))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(267,plain,
% 217.55/140.17 (v110(constB82) <=> (v111(constB82) | v116(constB82))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[266, 265])).
% 217.55/140.17 tff(268,plain,
% 217.55/140.17 (^[VarCurr: state_type] : refl((v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))) <=> (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(269,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))) <=> ![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[268])).
% 217.55/140.17 tff(270,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))) <=> ![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(271,axiom,(![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_20')).
% 217.55/140.17 tff(272,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[271, 270])).
% 217.55/140.17 tff(273,plain,(
% 217.55/140.17 ![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 217.55/140.17 inference(skolemize,[status(sab)],[272])).
% 217.55/140.17 tff(274,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[273, 269])).
% 217.55/140.17 tff(275,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB82) <=> (v112(constB82) | v115(constB82)))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(276,plain,
% 217.55/140.17 (v111(constB82) <=> (v112(constB82) | v115(constB82))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[275, 274])).
% 217.55/140.17 tff(277,plain,
% 217.55/140.17 (^[VarCurr: state_type] : refl((v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))) <=> (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(278,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[277])).
% 217.55/140.17 tff(279,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(280,axiom,(![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_19')).
% 217.55/140.17 tff(281,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[280, 279])).
% 217.55/140.17 tff(282,plain,(
% 217.55/140.17 ![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 217.55/140.17 inference(skolemize,[status(sab)],[281])).
% 217.55/140.17 tff(283,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[282, 278])).
% 217.55/140.17 tff(284,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB82) <=> (v113(constB82) | v114(constB82)))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(285,plain,
% 217.55/140.17 (v112(constB82) <=> (v113(constB82) | v114(constB82))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[284, 283])).
% 217.55/140.17 tff(286,plain,
% 217.55/140.17 (^[VarCurr: state_type] : refl((v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))) <=> (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(287,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[286])).
% 217.55/140.17 tff(288,plain,
% 217.55/140.17 (^[VarCurr: state_type] : rewrite((v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(289,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[288])).
% 217.55/140.17 tff(290,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(291,plain,
% 217.55/140.17 (^[VarCurr: state_type] : rewrite((v114(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true))) <=> (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(292,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v114(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[291])).
% 217.55/140.17 tff(293,axiom,(![VarCurr: state_type] : (v114(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3')).
% 217.55/140.17 tff(294,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[293, 292])).
% 217.55/140.17 tff(295,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[294, 290])).
% 217.55/140.17 tff(296,plain,(
% 217.55/140.17 ![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 217.55/140.17 inference(skolemize,[status(sab)],[295])).
% 217.55/140.17 tff(297,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[296, 289])).
% 217.55/140.17 tff(298,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[297, 287])).
% 217.55/140.17 tff(299,plain,
% 217.55/140.17 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0))))))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(300,plain,
% 217.55/140.17 ((v114(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 2) | (~v84(constB82, 0))))) <=> (v114(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0)))))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(301,plain,
% 217.55/140.17 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 2) | (~v84(constB82, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0))))))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[300])).
% 217.55/140.17 tff(302,plain,
% 217.55/140.17 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 2) | (~v84(constB82, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0))))))),
% 217.55/140.17 inference(transitivity,[status(thm)],[301, 299])).
% 217.55/140.17 tff(303,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 2) | (~v84(constB82, 0)))))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(304,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0)))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[303, 302])).
% 217.55/140.17 tff(305,plain,
% 217.55/140.17 (v114(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0))))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[304, 298])).
% 217.55/140.17 tff(306,plain,
% 217.55/140.17 (^[VarCurr: state_type] : refl((v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2))))) <=> (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2))))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(307,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[306])).
% 217.55/140.17 tff(308,plain,
% 217.55/140.17 (^[VarCurr: state_type] : rewrite((v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2))))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(309,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[308])).
% 217.55/140.17 tff(310,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(311,plain,
% 217.55/140.17 (^[VarCurr: state_type] : rewrite((v119(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false))) <=> (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(312,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v119(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[311])).
% 217.55/140.17 tff(313,axiom,(![VarCurr: state_type] : (v119(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8')).
% 217.55/140.17 tff(314,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[313, 312])).
% 217.55/140.17 tff(315,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[314, 310])).
% 217.55/140.17 tff(316,plain,(
% 217.55/140.17 ![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 217.55/140.17 inference(skolemize,[status(sab)],[315])).
% 217.55/140.17 tff(317,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[316, 309])).
% 217.55/140.17 tff(318,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[317, 307])).
% 217.55/140.17 tff(319,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB81) <=> (~(v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2)))))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(320,plain,
% 217.55/140.17 (v119(constB81) <=> (~(v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2))))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[319, 318])).
% 217.55/140.17 tff(321,assumption,(v84(constB79, 0)), introduced(assumption)).
% 217.55/140.17 tff(322,assumption,(~v84(constB80, 0)), introduced(assumption)).
% 217.55/140.17 tff(323,plain,
% 217.55/140.17 ((~(v84(constB80, 0) <=> v84(constB79, 0))) | v84(constB80, 0) | (~v84(constB79, 0))),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(324,plain,
% 217.55/140.17 (~(v84(constB80, 0) <=> v84(constB79, 0))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[323, 321, 322])).
% 217.55/140.17 tff(325,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))), introduced(assumption)).
% 217.55/140.17 tff(326,plain,
% 217.55/140.17 ($false),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[256, 325, 324])).
% 217.55/140.17 tff(327,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (~v84(constB79, 0)) | v84(constB80, 0)), inference(lemma,lemma(discharge,[]))).
% 217.55/140.17 tff(328,plain,
% 217.55/140.17 (v84(constB80, 0)),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[327, 243, 321])).
% 217.55/140.17 tff(329,assumption,(~(v84(constB81, 0) <=> v84(constB80, 0))), introduced(assumption)).
% 217.55/140.17 tff(330,plain,
% 217.55/140.17 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(331,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80')).
% 217.55/140.17 tff(332,plain,
% 217.55/140.17 (nextState(constB80, constB81)),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[331, 330])).
% 217.55/140.17 tff(333,plain,
% 217.55/140.17 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81))))))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(334,plain,
% 217.55/140.17 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81))))))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(335,plain,
% 217.55/140.17 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81)))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[334, 333])).
% 217.55/140.17 tff(336,plain,
% 217.55/140.17 (v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81))))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[335, 332, 14])).
% 217.55/140.17 tff(337,plain,
% 217.55/140.17 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(338,plain,
% 217.55/140.17 (((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81)))))) <=> ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(339,plain,
% 217.55/140.17 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[338])).
% 217.55/140.17 tff(340,plain,
% 217.55/140.17 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))),
% 217.55/140.17 inference(transitivity,[status(thm)],[339, 337])).
% 217.55/140.17 tff(341,plain,
% 217.55/140.17 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81))))))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(342,plain,
% 217.55/140.17 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[341, 340])).
% 217.55/140.17 tff(343,plain,
% 217.55/140.17 (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[342, 332, 37])).
% 217.55/140.17 tff(344,plain,
% 217.55/140.17 ((~v1(constB81)) <=> (~v1(constB81))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(345,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81')).
% 217.55/140.17 tff(346,plain,
% 217.55/140.17 (~v1(constB81)),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[345, 344])).
% 217.55/140.17 tff(347,plain,
% 217.55/140.17 (((~v1(constB81)) | (~v96(constB81))) | v1(constB81)),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(348,plain,
% 217.55/140.17 ((~v1(constB81)) | (~v96(constB81))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[347, 346])).
% 217.55/140.17 tff(349,plain,
% 217.55/140.17 ((~(v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))) | (~v95(constB81)) | (~((~v1(constB81)) | (~v96(constB81))))),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(350,plain,
% 217.55/140.17 ((~(v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))) | (~v95(constB81))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[349, 348])).
% 217.55/140.17 tff(351,plain,
% 217.55/140.17 (~v95(constB81)),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[350, 343])).
% 217.55/140.17 tff(352,plain,
% 217.55/140.17 (((~v95(constB81)) | (~v104(constB81))) | v95(constB81)),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(353,plain,
% 217.55/140.17 ((~v95(constB81)) | (~v104(constB81))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[352, 351])).
% 217.55/140.17 tff(354,plain,
% 217.55/140.17 ((~(v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81)))))) | (~v94(constB81)) | (~((~v95(constB81)) | (~v104(constB81))))),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(355,plain,
% 217.55/140.17 (~v94(constB81)),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[354, 353, 336])).
% 217.55/140.17 tff(356,plain,
% 217.55/140.17 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB81) | (~nextState(constB80, constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB81) | (~nextState(constB80, constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B))))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(357,plain,
% 217.55/140.17 ((v94(constB81) | (~nextState(constB80, constB81)) | ![B: $int] : ((v84(constB81, B) <=> v84(constB80, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB81) | (~nextState(constB80, constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B))))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(358,plain,
% 217.55/140.17 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB81) | (~nextState(constB80, constB81)) | ![B: $int] : ((v84(constB81, B) <=> v84(constB80, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB81) | (~nextState(constB80, constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[357])).
% 217.55/140.17 tff(359,plain,
% 217.55/140.17 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB81) | (~nextState(constB80, constB81)) | ![B: $int] : ((v84(constB81, B) <=> v84(constB80, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB81) | (~nextState(constB80, constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B))))),
% 217.55/140.17 inference(transitivity,[status(thm)],[358, 356])).
% 217.55/140.17 tff(360,plain,
% 217.55/140.17 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB81) | (~nextState(constB80, constB81)) | ![B: $int] : ((v84(constB81, B) <=> v84(constB80, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(361,plain,
% 217.55/140.17 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB81) | (~nextState(constB80, constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[360, 359])).
% 217.55/140.17 tff(362,plain,
% 217.55/140.17 (v94(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[361, 332, 235])).
% 217.55/140.17 tff(363,plain,
% 217.55/140.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[362, 355])).
% 217.55/140.17 tff(364,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 0) <=> v84(constB80, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 0) <=> v84(constB80, 0)))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(365,plain,
% 217.55/140.17 (($false | $false | (v84(constB81, 0) <=> v84(constB80, 0))) <=> (v84(constB81, 0) <=> v84(constB80, 0))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(366,plain,
% 217.55/140.17 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB81, 0) <=> v84(constB80, 0))) <=> ($false | $false | (v84(constB81, 0) <=> v84(constB80, 0)))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[250, 249])).
% 217.55/140.17 tff(367,plain,
% 217.55/140.17 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB81, 0) <=> v84(constB80, 0))) <=> (v84(constB81, 0) <=> v84(constB80, 0))),
% 217.55/140.17 inference(transitivity,[status(thm)],[366, 365])).
% 217.55/140.17 tff(368,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB81, 0) <=> v84(constB80, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 0) <=> v84(constB80, 0)))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[367])).
% 217.55/140.17 tff(369,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB81, 0) <=> v84(constB80, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 0) <=> v84(constB80, 0)))),
% 217.55/140.17 inference(transitivity,[status(thm)],[368, 364])).
% 217.55/140.17 tff(370,plain,
% 217.55/140.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB81, 0) <=> v84(constB80, 0)))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(371,plain,
% 217.55/140.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 0) <=> v84(constB80, 0))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[370, 369])).
% 217.55/140.17 tff(372,plain,
% 217.55/140.17 ($false),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[371, 363, 329])).
% 217.55/140.17 tff(373,plain,(v84(constB81, 0) <=> v84(constB80, 0)), inference(lemma,lemma(discharge,[]))).
% 217.55/140.17 tff(374,plain,
% 217.55/140.17 ((~(v84(constB81, 0) <=> v84(constB80, 0))) | v84(constB81, 0) | (~v84(constB80, 0))),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(375,plain,
% 217.55/140.17 (v84(constB81, 0) | (~v84(constB80, 0))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[374, 373])).
% 217.55/140.17 tff(376,plain,
% 217.55/140.17 (v84(constB81, 0)),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[375, 328])).
% 217.55/140.17 tff(377,plain,
% 217.55/140.17 ((v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2))) | (~v84(constB81, 0))),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(378,plain,
% 217.55/140.17 (v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[377, 376])).
% 217.55/140.17 tff(379,plain,
% 217.55/140.17 ((~(v119(constB81) <=> (~(v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2)))))) | (~v119(constB81)) | (~(v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2))))),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(380,plain,
% 217.55/140.17 ((~(v119(constB81) <=> (~(v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2)))))) | (~v119(constB81))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[379, 378])).
% 217.55/140.17 tff(381,plain,
% 217.55/140.17 (~v119(constB81)),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[380, 320])).
% 217.55/140.17 tff(382,plain,
% 217.55/140.17 (^[VarCurr: state_type] : refl((v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2))))) <=> (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2))))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(383,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[382])).
% 217.55/140.17 tff(384,plain,
% 217.55/140.17 (^[VarCurr: state_type] : rewrite((v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2))))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(385,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[384])).
% 217.55/140.17 tff(386,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(387,plain,
% 217.55/140.17 (^[VarCurr: state_type] : rewrite((v118(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true))) <=> (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(388,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v118(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[387])).
% 217.55/140.17 tff(389,axiom,(![VarCurr: state_type] : (v118(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7')).
% 217.55/140.17 tff(390,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[389, 388])).
% 217.55/140.17 tff(391,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[390, 386])).
% 217.55/140.17 tff(392,plain,(
% 217.55/140.17 ![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 217.55/140.17 inference(skolemize,[status(sab)],[391])).
% 217.55/140.17 tff(393,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[392, 385])).
% 217.55/140.17 tff(394,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[393, 383])).
% 217.55/140.17 tff(395,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB81) <=> (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(396,plain,
% 217.55/140.17 (v118(constB81) <=> (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[395, 394])).
% 217.55/140.17 tff(397,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 1) <=> v84(constB80, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 1) <=> v84(constB80, 1)))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(398,plain,
% 217.55/140.17 (($false | $false | (v84(constB81, 1) <=> v84(constB80, 1))) <=> (v84(constB81, 1) <=> v84(constB80, 1))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(399,plain,
% 217.55/140.17 ($greatereq(1, 0) <=> $true),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(400,plain,
% 217.55/140.17 ((~$greatereq(1, 0)) <=> (~$true)),
% 217.55/140.17 inference(monotonicity,[status(thm)],[399])).
% 217.55/140.17 tff(401,plain,
% 217.55/140.17 ((~$greatereq(1, 0)) <=> $false),
% 217.55/140.17 inference(transitivity,[status(thm)],[400, 246])).
% 217.55/140.17 tff(402,plain,
% 217.55/140.17 ($greatereq(1, 3) <=> $false),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(403,plain,
% 217.55/140.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB81, 1) <=> v84(constB80, 1))) <=> ($false | $false | (v84(constB81, 1) <=> v84(constB80, 1)))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[402, 401])).
% 217.55/140.17 tff(404,plain,
% 217.55/140.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB81, 1) <=> v84(constB80, 1))) <=> (v84(constB81, 1) <=> v84(constB80, 1))),
% 217.55/140.17 inference(transitivity,[status(thm)],[403, 398])).
% 217.55/140.17 tff(405,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB81, 1) <=> v84(constB80, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 1) <=> v84(constB80, 1)))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[404])).
% 217.55/140.17 tff(406,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB81, 1) <=> v84(constB80, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 1) <=> v84(constB80, 1)))),
% 217.55/140.17 inference(transitivity,[status(thm)],[405, 397])).
% 217.55/140.17 tff(407,plain,
% 217.55/140.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB81, 1) <=> v84(constB80, 1)))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(408,plain,
% 217.55/140.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 1) <=> v84(constB80, 1))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[407, 406])).
% 217.55/140.17 tff(409,plain,
% 217.55/140.17 (v84(constB81, 1) <=> v84(constB80, 1)),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[408, 363])).
% 217.55/140.17 tff(410,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 1) <=> v84(constB79, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 1) <=> v84(constB79, 1)))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(411,plain,
% 217.55/140.17 (($false | $false | (v84(constB80, 1) <=> v84(constB79, 1))) <=> (v84(constB80, 1) <=> v84(constB79, 1))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(412,plain,
% 217.55/140.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB80, 1) <=> v84(constB79, 1))) <=> ($false | $false | (v84(constB80, 1) <=> v84(constB79, 1)))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[402, 401])).
% 217.55/140.17 tff(413,plain,
% 217.55/140.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB80, 1) <=> v84(constB79, 1))) <=> (v84(constB80, 1) <=> v84(constB79, 1))),
% 217.55/140.17 inference(transitivity,[status(thm)],[412, 411])).
% 217.55/140.17 tff(414,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB80, 1) <=> v84(constB79, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 1) <=> v84(constB79, 1)))),
% 217.55/140.17 inference(monotonicity,[status(thm)],[413])).
% 217.55/140.17 tff(415,plain,
% 217.55/140.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB80, 1) <=> v84(constB79, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 1) <=> v84(constB79, 1)))),
% 217.55/140.17 inference(transitivity,[status(thm)],[414, 410])).
% 217.55/140.17 tff(416,plain,
% 217.55/140.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB80, 1) <=> v84(constB79, 1)))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(417,plain,
% 217.55/140.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 1) <=> v84(constB79, 1))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[416, 415])).
% 217.55/140.17 tff(418,plain,
% 217.55/140.17 (v84(constB80, 1) <=> v84(constB79, 1)),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[417, 243])).
% 217.55/140.17 tff(419,plain,
% 217.55/140.17 ((v108(constB79) | v119(constB79)) | (~v108(constB79))),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(420,plain,
% 217.55/140.17 (~v108(constB79)),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[419, 194])).
% 217.55/140.17 tff(421,assumption,(~(v108(constB79) <=> (v109(constB79) | v118(constB79)))), introduced(assumption)).
% 217.55/140.17 tff(422,plain,
% 217.55/140.17 (^[VarCurr: state_type] : refl((v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))) <=> (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(423,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))) <=> ![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[422])).
% 217.55/140.17 tff(424,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))) <=> ![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(425,axiom,(![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_23')).
% 217.55/140.17 tff(426,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[425, 424])).
% 217.55/140.17 tff(427,plain,(
% 217.55/140.17 ![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 217.55/140.17 inference(skolemize,[status(sab)],[426])).
% 217.55/140.17 tff(428,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 217.55/140.17 inference(modus_ponens,[status(thm)],[427, 423])).
% 217.55/140.17 tff(429,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB79) <=> (v109(constB79) | v118(constB79)))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(430,plain,
% 217.55/140.17 ($false),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[429, 428, 421])).
% 217.55/140.17 tff(431,plain,(v108(constB79) <=> (v109(constB79) | v118(constB79))), inference(lemma,lemma(discharge,[]))).
% 217.55/140.17 tff(432,plain,
% 217.55/140.17 ((~(v108(constB79) <=> (v109(constB79) | v118(constB79)))) | v108(constB79) | (~(v109(constB79) | v118(constB79)))),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(433,plain,
% 217.55/140.17 (v108(constB79) | (~(v109(constB79) | v118(constB79)))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[432, 431])).
% 217.55/140.17 tff(434,plain,
% 217.55/140.17 (~(v109(constB79) | v118(constB79))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[433, 420])).
% 217.55/140.17 tff(435,plain,
% 217.55/140.17 ((v109(constB79) | v118(constB79)) | (~v118(constB79))),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(436,plain,
% 217.55/140.17 (~v118(constB79)),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[435, 434])).
% 217.55/140.17 tff(437,assumption,(~(v118(constB79) <=> (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))))), introduced(assumption)).
% 217.55/140.17 tff(438,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB79) <=> (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(439,plain,
% 217.55/140.17 ($false),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[438, 394, 437])).
% 217.55/140.17 tff(440,plain,(v118(constB79) <=> (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.55/140.17 tff(441,plain,
% 217.55/140.17 ((~(v118(constB79) <=> (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))))) | v118(constB79) | (v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))),
% 217.55/140.17 inference(tautology,[status(thm)],[])).
% 217.55/140.17 tff(442,plain,
% 217.55/140.17 (v118(constB79) | (v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[441, 440])).
% 217.55/140.17 tff(443,plain,
% 217.55/140.17 (v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[442, 436])).
% 217.55/140.17 tff(444,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB79) <=> (v113(constB79) | v114(constB79)))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(445,plain,
% 217.55/140.17 (v112(constB79) <=> (v113(constB79) | v114(constB79))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[444, 283])).
% 217.55/140.17 tff(446,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB79) <=> (v112(constB79) | v115(constB79)))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(447,plain,
% 217.55/140.17 (v111(constB79) <=> (v112(constB79) | v115(constB79))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[446, 274])).
% 217.55/140.17 tff(448,plain,
% 217.55/140.17 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB79) <=> (v111(constB79) | v116(constB79)))),
% 217.55/140.17 inference(quant_inst,[status(thm)],[])).
% 217.55/140.17 tff(449,plain,
% 217.55/140.17 (v110(constB79) <=> (v111(constB79) | v116(constB79))),
% 217.55/140.17 inference(unit_resolution,[status(thm)],[448, 265])).
% 217.55/140.17 tff(450,plain,
% 217.55/140.17 (^[VarCurr: state_type] : refl((v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))) <=> (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))))),
% 217.55/140.17 inference(bind,[status(th)],[])).
% 217.55/140.17 tff(451,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 217.55/140.17 inference(quant_intro,[status(thm)],[450])).
% 217.55/140.17 tff(452,plain,
% 217.55/140.17 (![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 217.55/140.17 inference(rewrite,[status(thm)],[])).
% 217.55/140.17 tff(453,axiom,(![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_22')).
% 217.55/140.18 tff(454,plain,
% 217.55/140.18 (![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 217.55/140.18 inference(modus_ponens,[status(thm)],[453, 452])).
% 217.55/140.18 tff(455,plain,(
% 217.55/140.18 ![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 217.55/140.18 inference(skolemize,[status(sab)],[454])).
% 217.55/140.18 tff(456,plain,
% 217.55/140.18 (![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 217.55/140.18 inference(modus_ponens,[status(thm)],[455, 451])).
% 217.55/140.18 tff(457,plain,
% 217.55/140.18 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB79) <=> (v110(constB79) | v117(constB79)))),
% 217.55/140.18 inference(quant_inst,[status(thm)],[])).
% 217.55/140.18 tff(458,plain,
% 217.55/140.18 (v109(constB79) <=> (v110(constB79) | v117(constB79))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[457, 456])).
% 217.55/140.18 tff(459,plain,
% 217.55/140.18 ((v109(constB79) | v118(constB79)) | (~v109(constB79))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(460,plain,
% 217.55/140.18 (~v109(constB79)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[459, 434])).
% 217.55/140.18 tff(461,plain,
% 217.55/140.18 ((~(v109(constB79) <=> (v110(constB79) | v117(constB79)))) | v109(constB79) | (~(v110(constB79) | v117(constB79)))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(462,plain,
% 217.55/140.18 ((~(v109(constB79) <=> (v110(constB79) | v117(constB79)))) | (~(v110(constB79) | v117(constB79)))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[461, 460])).
% 217.55/140.18 tff(463,plain,
% 217.55/140.18 (~(v110(constB79) | v117(constB79))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[462, 458])).
% 217.55/140.18 tff(464,plain,
% 217.55/140.18 ((v110(constB79) | v117(constB79)) | (~v110(constB79))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(465,plain,
% 217.55/140.18 (~v110(constB79)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[464, 463])).
% 217.55/140.18 tff(466,plain,
% 217.55/140.18 ((~(v110(constB79) <=> (v111(constB79) | v116(constB79)))) | v110(constB79) | (~(v111(constB79) | v116(constB79)))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(467,plain,
% 217.55/140.18 ((~(v110(constB79) <=> (v111(constB79) | v116(constB79)))) | (~(v111(constB79) | v116(constB79)))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[466, 465])).
% 217.55/140.18 tff(468,plain,
% 217.55/140.18 (~(v111(constB79) | v116(constB79))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[467, 449])).
% 217.55/140.18 tff(469,plain,
% 217.55/140.18 ((v111(constB79) | v116(constB79)) | (~v111(constB79))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(470,plain,
% 217.55/140.18 (~v111(constB79)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[469, 468])).
% 217.55/140.18 tff(471,plain,
% 217.55/140.18 ((~(v111(constB79) <=> (v112(constB79) | v115(constB79)))) | v111(constB79) | (~(v112(constB79) | v115(constB79)))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(472,plain,
% 217.55/140.18 (~(v112(constB79) | v115(constB79))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[471, 470, 447])).
% 217.55/140.18 tff(473,plain,
% 217.55/140.18 ((v112(constB79) | v115(constB79)) | (~v112(constB79))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(474,plain,
% 217.55/140.18 (~v112(constB79)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[473, 472])).
% 217.55/140.18 tff(475,plain,
% 217.55/140.18 ((~(v112(constB79) <=> (v113(constB79) | v114(constB79)))) | v112(constB79) | (~(v113(constB79) | v114(constB79)))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(476,plain,
% 217.55/140.18 (~(v113(constB79) | v114(constB79))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[475, 474, 445])).
% 217.55/140.18 tff(477,plain,
% 217.55/140.18 ((v113(constB79) | v114(constB79)) | (~v114(constB79))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(478,plain,
% 217.55/140.18 (~v114(constB79)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[477, 476])).
% 217.55/140.18 tff(479,assumption,(~(v114(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0)))))), introduced(assumption)).
% 217.55/140.18 tff(480,plain,
% 217.55/140.18 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0)))))),
% 217.55/140.18 inference(quant_inst,[status(thm)],[])).
% 217.55/140.18 tff(481,plain,
% 217.55/140.18 ($false),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[480, 298, 479])).
% 217.55/140.18 tff(482,plain,(v114(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.55/140.18 tff(483,plain,
% 217.55/140.18 ((~(v114(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0)))))) | v114(constB79) | (v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0)))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(484,plain,
% 217.55/140.18 (v114(constB79) | (v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0)))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[483, 482])).
% 217.55/140.18 tff(485,plain,
% 217.55/140.18 (v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[484, 478])).
% 217.55/140.18 tff(486,assumption,(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))), introduced(assumption)).
% 217.55/140.18 tff(487,assumption,(~v84(constB79, 1)), introduced(assumption)).
% 217.55/140.18 tff(488,assumption,(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))), introduced(assumption)).
% 217.55/140.18 tff(489,plain,
% 217.55/140.18 ((~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0)))) | v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(490,plain,
% 217.55/140.18 (v84(constB79, 2)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[489, 487, 321, 488])).
% 217.55/140.18 tff(491,plain,
% 217.55/140.18 ((~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))) | v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(492,plain,
% 217.55/140.18 ($false),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[491, 490, 487, 321, 486])).
% 217.55/140.18 tff(493,plain,(v84(constB79, 1) | (~v84(constB79, 0)) | (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))) | (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.55/140.18 tff(494,plain,
% 217.55/140.18 (v84(constB79, 1)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[493, 485, 321, 443])).
% 217.55/140.18 tff(495,plain,
% 217.55/140.18 ((~(v84(constB80, 1) <=> v84(constB79, 1))) | v84(constB80, 1) | (~v84(constB79, 1))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(496,plain,
% 217.55/140.18 ((~(v84(constB80, 1) <=> v84(constB79, 1))) | v84(constB80, 1)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[495, 494])).
% 217.55/140.18 tff(497,plain,
% 217.55/140.18 (v84(constB80, 1)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[496, 418])).
% 217.55/140.18 tff(498,plain,
% 217.55/140.18 ((~(v84(constB81, 1) <=> v84(constB80, 1))) | v84(constB81, 1) | (~v84(constB80, 1))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(499,plain,
% 217.55/140.18 ((~(v84(constB81, 1) <=> v84(constB80, 1))) | v84(constB81, 1)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[498, 497])).
% 217.55/140.18 tff(500,plain,
% 217.55/140.18 (v84(constB81, 1)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[499, 409])).
% 217.55/140.18 tff(501,plain,
% 217.55/140.18 ((v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))) | (~v84(constB81, 1))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(502,plain,
% 217.55/140.18 (v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[501, 500])).
% 217.55/140.18 tff(503,plain,
% 217.55/140.18 ((~(v118(constB81) <=> (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))))) | (~v118(constB81)) | (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))))),
% 217.55/140.18 inference(tautology,[status(thm)],[])).
% 217.55/140.18 tff(504,plain,
% 217.55/140.18 (~v118(constB81)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[503, 502, 396])).
% 217.55/140.18 tff(505,plain,
% 217.55/140.18 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB81) <=> (v110(constB81) | v117(constB81)))),
% 217.55/140.18 inference(quant_inst,[status(thm)],[])).
% 217.55/140.18 tff(506,plain,
% 217.55/140.18 (v109(constB81) <=> (v110(constB81) | v117(constB81))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[505, 456])).
% 217.55/140.18 tff(507,plain,
% 217.55/140.18 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB81) <=> (v111(constB81) | v116(constB81)))),
% 217.55/140.18 inference(quant_inst,[status(thm)],[])).
% 217.55/140.18 tff(508,plain,
% 217.55/140.18 (v110(constB81) <=> (v111(constB81) | v116(constB81))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[507, 265])).
% 217.55/140.18 tff(509,plain,
% 217.55/140.18 (^[VarCurr: state_type] : refl((v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0))))) <=> (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0))))))),
% 217.55/140.18 inference(bind,[status(th)],[])).
% 217.55/140.18 tff(510,plain,
% 217.55/140.18 (![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))),
% 217.55/140.18 inference(quant_intro,[status(thm)],[509])).
% 217.55/140.18 tff(511,plain,
% 217.55/140.18 (^[VarCurr: state_type] : rewrite((v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0))) <=> (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0))))))),
% 217.55/140.18 inference(bind,[status(th)],[])).
% 217.55/140.18 tff(512,plain,
% 217.55/140.18 (![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))),
% 217.55/140.18 inference(quant_intro,[status(thm)],[511])).
% 217.55/140.18 tff(513,plain,
% 217.55/140.18 (![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0)))),
% 217.55/140.18 inference(rewrite,[status(thm)],[])).
% 217.55/140.18 tff(514,plain,
% 217.55/140.18 (^[VarCurr: state_type] : rewrite((v116(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $true))) <=> (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0))))),
% 217.55/140.18 inference(bind,[status(th)],[])).
% 217.55/140.18 tff(515,plain,
% 217.55/140.18 (![VarCurr: state_type] : (v116(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0)))),
% 217.55/140.18 inference(quant_intro,[status(thm)],[514])).
% 217.55/140.18 tff(516,axiom,(![VarCurr: state_type] : (v116(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5')).
% 217.55/140.18 tff(517,plain,
% 217.55/140.18 (![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0)))),
% 217.55/140.18 inference(modus_ponens,[status(thm)],[516, 515])).
% 217.55/140.18 tff(518,plain,
% 217.55/140.18 (![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0)))),
% 217.55/140.18 inference(modus_ponens,[status(thm)],[517, 513])).
% 217.55/140.18 tff(519,plain,(
% 217.55/140.18 ![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0)))),
% 217.55/140.18 inference(skolemize,[status(sab)],[518])).
% 217.55/140.18 tff(520,plain,
% 217.55/140.18 (![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))),
% 217.55/140.18 inference(modus_ponens,[status(thm)],[519, 512])).
% 217.55/140.18 tff(521,plain,
% 217.55/140.18 (![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))),
% 217.55/140.18 inference(modus_ponens,[status(thm)],[520, 510])).
% 217.55/140.18 tff(522,plain,
% 217.55/140.18 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))))))),
% 217.55/140.18 inference(rewrite,[status(thm)],[])).
% 217.55/140.18 tff(523,plain,
% 217.55/140.18 ((v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 1)) | (~v84(constB81, 0))))) <=> (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))))),
% 217.55/140.18 inference(rewrite,[status(thm)],[])).
% 217.55/140.18 tff(524,plain,
% 217.55/140.18 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 1)) | (~v84(constB81, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))))))),
% 217.55/140.18 inference(monotonicity,[status(thm)],[523])).
% 217.55/140.18 tff(525,plain,
% 217.55/140.18 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 1)) | (~v84(constB81, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))))))),
% 217.55/140.18 inference(transitivity,[status(thm)],[524, 522])).
% 217.55/140.18 tff(526,plain,
% 217.55/140.18 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 1)) | (~v84(constB81, 0)))))),
% 217.55/140.18 inference(quant_inst,[status(thm)],[])).
% 217.55/140.18 tff(527,plain,
% 217.55/140.18 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))))),
% 217.55/140.18 inference(modus_ponens,[status(thm)],[526, 525])).
% 217.55/140.18 tff(528,plain,
% 217.55/140.18 (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))))),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[527, 521])).
% 217.55/140.18 tff(529,plain,
% 217.55/140.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 2) <=> v84(constB80, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 2) <=> v84(constB80, 2)))),
% 217.55/140.18 inference(rewrite,[status(thm)],[])).
% 217.55/140.18 tff(530,plain,
% 217.55/140.18 (($false | $false | (v84(constB81, 2) <=> v84(constB80, 2))) <=> (v84(constB81, 2) <=> v84(constB80, 2))),
% 217.55/140.18 inference(rewrite,[status(thm)],[])).
% 217.55/140.18 tff(531,plain,
% 217.55/140.18 ($greatereq(2, 0) <=> $true),
% 217.55/140.18 inference(rewrite,[status(thm)],[])).
% 217.55/140.18 tff(532,plain,
% 217.55/140.18 ((~$greatereq(2, 0)) <=> (~$true)),
% 217.55/140.18 inference(monotonicity,[status(thm)],[531])).
% 217.55/140.18 tff(533,plain,
% 217.55/140.18 ((~$greatereq(2, 0)) <=> $false),
% 217.55/140.18 inference(transitivity,[status(thm)],[532, 246])).
% 217.55/140.18 tff(534,plain,
% 217.55/140.18 ($greatereq(2, 3) <=> $false),
% 217.55/140.18 inference(rewrite,[status(thm)],[])).
% 217.55/140.18 tff(535,plain,
% 217.55/140.18 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB81, 2) <=> v84(constB80, 2))) <=> ($false | $false | (v84(constB81, 2) <=> v84(constB80, 2)))),
% 217.55/140.18 inference(monotonicity,[status(thm)],[534, 533])).
% 217.55/140.18 tff(536,plain,
% 217.55/140.18 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB81, 2) <=> v84(constB80, 2))) <=> (v84(constB81, 2) <=> v84(constB80, 2))),
% 217.55/140.18 inference(transitivity,[status(thm)],[535, 530])).
% 217.55/140.18 tff(537,plain,
% 217.55/140.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB81, 2) <=> v84(constB80, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 2) <=> v84(constB80, 2)))),
% 217.55/140.18 inference(monotonicity,[status(thm)],[536])).
% 217.55/140.18 tff(538,plain,
% 217.55/140.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB81, 2) <=> v84(constB80, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 2) <=> v84(constB80, 2)))),
% 217.55/140.18 inference(transitivity,[status(thm)],[537, 529])).
% 217.55/140.18 tff(539,plain,
% 217.55/140.18 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB81, 2) <=> v84(constB80, 2)))),
% 217.55/140.18 inference(quant_inst,[status(thm)],[])).
% 217.55/140.18 tff(540,plain,
% 217.55/140.18 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB81, B) <=> v84(constB80, B)))) | (v84(constB81, 2) <=> v84(constB80, 2))),
% 217.55/140.18 inference(modus_ponens,[status(thm)],[539, 538])).
% 217.55/140.18 tff(541,plain,
% 217.55/140.18 (v84(constB81, 2) <=> v84(constB80, 2)),
% 217.55/140.18 inference(unit_resolution,[status(thm)],[540, 363])).
% 217.55/140.18 tff(542,plain,
% 217.55/140.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 2) <=> v84(constB79, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 2) <=> v84(constB79, 2)))),
% 217.64/140.18 inference(rewrite,[status(thm)],[])).
% 217.64/140.18 tff(543,plain,
% 217.64/140.18 (($false | $false | (v84(constB80, 2) <=> v84(constB79, 2))) <=> (v84(constB80, 2) <=> v84(constB79, 2))),
% 217.64/140.18 inference(rewrite,[status(thm)],[])).
% 217.64/140.18 tff(544,plain,
% 217.64/140.18 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB80, 2) <=> v84(constB79, 2))) <=> ($false | $false | (v84(constB80, 2) <=> v84(constB79, 2)))),
% 217.64/140.18 inference(monotonicity,[status(thm)],[534, 533])).
% 217.64/140.18 tff(545,plain,
% 217.64/140.18 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB80, 2) <=> v84(constB79, 2))) <=> (v84(constB80, 2) <=> v84(constB79, 2))),
% 217.64/140.18 inference(transitivity,[status(thm)],[544, 543])).
% 217.64/140.18 tff(546,plain,
% 217.64/140.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB80, 2) <=> v84(constB79, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 2) <=> v84(constB79, 2)))),
% 217.64/140.18 inference(monotonicity,[status(thm)],[545])).
% 217.64/140.18 tff(547,plain,
% 217.64/140.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB80, 2) <=> v84(constB79, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 2) <=> v84(constB79, 2)))),
% 217.64/140.18 inference(transitivity,[status(thm)],[546, 542])).
% 217.64/140.18 tff(548,plain,
% 217.64/140.18 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB80, 2) <=> v84(constB79, 2)))),
% 217.64/140.18 inference(quant_inst,[status(thm)],[])).
% 217.64/140.18 tff(549,plain,
% 217.64/140.18 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))) | (v84(constB80, 2) <=> v84(constB79, 2))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[548, 547])).
% 217.64/140.18 tff(550,plain,
% 217.64/140.18 (v84(constB80, 2) <=> v84(constB79, 2)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[549, 243])).
% 217.64/140.18 tff(551,plain,
% 217.64/140.18 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))))))),
% 217.64/140.18 inference(rewrite,[status(thm)],[])).
% 217.64/140.18 tff(552,plain,
% 217.64/140.18 ((v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 1)) | (~v84(constB79, 0))))) <=> (v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))))),
% 217.64/140.18 inference(rewrite,[status(thm)],[])).
% 217.64/140.18 tff(553,plain,
% 217.64/140.18 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 1)) | (~v84(constB79, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))))))),
% 217.64/140.18 inference(monotonicity,[status(thm)],[552])).
% 217.64/140.18 tff(554,plain,
% 217.64/140.18 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 1)) | (~v84(constB79, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))))))),
% 217.64/140.18 inference(transitivity,[status(thm)],[553, 551])).
% 217.64/140.18 tff(555,plain,
% 217.64/140.18 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 1)) | (~v84(constB79, 0)))))),
% 217.64/140.18 inference(quant_inst,[status(thm)],[])).
% 217.64/140.18 tff(556,plain,
% 217.64/140.18 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[555, 554])).
% 217.64/140.18 tff(557,plain,
% 217.64/140.18 (v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[556, 521])).
% 217.64/140.18 tff(558,plain,
% 217.64/140.18 ((v111(constB79) | v116(constB79)) | (~v116(constB79))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(559,plain,
% 217.64/140.18 (~v116(constB79)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[558, 468])).
% 217.64/140.18 tff(560,plain,
% 217.64/140.18 ((~(v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))))) | v116(constB79) | (v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(561,plain,
% 217.64/140.18 (v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[560, 559, 557])).
% 217.64/140.18 tff(562,plain,
% 217.64/140.18 ((~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))) | v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(563,plain,
% 217.64/140.18 ((~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))) | v84(constB79, 2) | (~v84(constB79, 1))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[562, 321])).
% 217.64/140.18 tff(564,plain,
% 217.64/140.18 (v84(constB79, 2)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[563, 494, 561])).
% 217.64/140.18 tff(565,plain,
% 217.64/140.18 ((~(v84(constB80, 2) <=> v84(constB79, 2))) | v84(constB80, 2) | (~v84(constB79, 2))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(566,plain,
% 217.64/140.18 ((~(v84(constB80, 2) <=> v84(constB79, 2))) | v84(constB80, 2)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[565, 564])).
% 217.64/140.18 tff(567,plain,
% 217.64/140.18 (v84(constB80, 2)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[566, 550])).
% 217.64/140.18 tff(568,plain,
% 217.64/140.18 ((~(v84(constB81, 2) <=> v84(constB80, 2))) | v84(constB81, 2) | (~v84(constB80, 2))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(569,plain,
% 217.64/140.18 ((~(v84(constB81, 2) <=> v84(constB80, 2))) | v84(constB81, 2)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[568, 567])).
% 217.64/140.18 tff(570,plain,
% 217.64/140.18 (v84(constB81, 2)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[569, 541])).
% 217.64/140.18 tff(571,plain,
% 217.64/140.18 ((v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))) | (~v84(constB81, 2))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(572,plain,
% 217.64/140.18 (v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[571, 570])).
% 217.64/140.18 tff(573,plain,
% 217.64/140.18 ((~(v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))))) | (~v116(constB81)) | (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(574,plain,
% 217.64/140.18 (~v116(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[573, 572, 528])).
% 217.64/140.18 tff(575,plain,
% 217.64/140.18 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB81) <=> (v112(constB81) | v115(constB81)))),
% 217.64/140.18 inference(quant_inst,[status(thm)],[])).
% 217.64/140.18 tff(576,plain,
% 217.64/140.18 (v111(constB81) <=> (v112(constB81) | v115(constB81))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[575, 274])).
% 217.64/140.18 tff(577,plain,
% 217.64/140.18 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB81) <=> (v113(constB81) | v114(constB81)))),
% 217.64/140.18 inference(quant_inst,[status(thm)],[])).
% 217.64/140.18 tff(578,plain,
% 217.64/140.18 (v112(constB81) <=> (v113(constB81) | v114(constB81))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[577, 283])).
% 217.64/140.18 tff(579,plain,
% 217.64/140.18 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))))),
% 217.64/140.18 inference(quant_inst,[status(thm)],[])).
% 217.64/140.18 tff(580,plain,
% 217.64/140.18 (v114(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[579, 298])).
% 217.64/140.18 tff(581,plain,
% 217.64/140.18 ((v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))) | (~v84(constB81, 2))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(582,plain,
% 217.64/140.18 (v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[581, 570])).
% 217.64/140.18 tff(583,plain,
% 217.64/140.18 ((~(v114(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))))) | (~v114(constB81)) | (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(584,plain,
% 217.64/140.18 (~v114(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[583, 582, 580])).
% 217.64/140.18 tff(585,plain,
% 217.64/140.18 (^[VarCurr: state_type] : refl((v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2)))) <=> (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2)))))),
% 217.64/140.18 inference(bind,[status(th)],[])).
% 217.64/140.18 tff(586,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2)))) <=> ![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))),
% 217.64/140.18 inference(quant_intro,[status(thm)],[585])).
% 217.64/140.18 tff(587,plain,
% 217.64/140.18 (^[VarCurr: state_type] : rewrite((v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2)))))),
% 217.64/140.18 inference(bind,[status(th)],[])).
% 217.64/140.18 tff(588,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))),
% 217.64/140.18 inference(quant_intro,[status(thm)],[587])).
% 217.64/140.18 tff(589,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(rewrite,[status(thm)],[])).
% 217.64/140.18 tff(590,plain,
% 217.64/140.18 (^[VarCurr: state_type] : rewrite((v113(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false))) <=> (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))))),
% 217.64/140.18 inference(bind,[status(th)],[])).
% 217.64/140.18 tff(591,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v113(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(quant_intro,[status(thm)],[590])).
% 217.64/140.18 tff(592,axiom,(![VarCurr: state_type] : (v113(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2')).
% 217.64/140.18 tff(593,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[592, 591])).
% 217.64/140.18 tff(594,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[593, 589])).
% 217.64/140.18 tff(595,plain,(
% 217.64/140.18 ![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(skolemize,[status(sab)],[594])).
% 217.64/140.18 tff(596,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[595, 588])).
% 217.64/140.18 tff(597,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[596, 586])).
% 217.64/140.18 tff(598,plain,
% 217.64/140.18 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2))))),
% 217.64/140.18 inference(quant_inst,[status(thm)],[])).
% 217.64/140.18 tff(599,plain,
% 217.64/140.18 (v113(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[598, 597])).
% 217.64/140.18 tff(600,plain,
% 217.64/140.18 ((v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)) | (~v84(constB81, 0))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(601,plain,
% 217.64/140.18 (v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[600, 376])).
% 217.64/140.18 tff(602,plain,
% 217.64/140.18 ((~(v113(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2))))) | (~v113(constB81)) | (~(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(603,plain,
% 217.64/140.18 ((~(v113(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2))))) | (~v113(constB81))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[602, 601])).
% 217.64/140.18 tff(604,plain,
% 217.64/140.18 (~v113(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[603, 599])).
% 217.64/140.18 tff(605,plain,
% 217.64/140.18 ((~(v113(constB81) | v114(constB81))) | v113(constB81) | v114(constB81)),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(606,plain,
% 217.64/140.18 ((~(v113(constB81) | v114(constB81))) | v114(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[605, 604])).
% 217.64/140.18 tff(607,plain,
% 217.64/140.18 (~(v113(constB81) | v114(constB81))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[606, 584])).
% 217.64/140.18 tff(608,plain,
% 217.64/140.18 ((~(v112(constB81) <=> (v113(constB81) | v114(constB81)))) | (~v112(constB81)) | (v113(constB81) | v114(constB81))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(609,plain,
% 217.64/140.18 (~v112(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[608, 607, 578])).
% 217.64/140.18 tff(610,plain,
% 217.64/140.18 (^[VarCurr: state_type] : refl((v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1))))) <=> (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1))))))),
% 217.64/140.18 inference(bind,[status(th)],[])).
% 217.64/140.18 tff(611,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1))))) <=> ![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))),
% 217.64/140.18 inference(quant_intro,[status(thm)],[610])).
% 217.64/140.18 tff(612,plain,
% 217.64/140.18 (^[VarCurr: state_type] : rewrite((v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1))))))),
% 217.64/140.18 inference(bind,[status(th)],[])).
% 217.64/140.18 tff(613,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))),
% 217.64/140.18 inference(quant_intro,[status(thm)],[612])).
% 217.64/140.18 tff(614,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(rewrite,[status(thm)],[])).
% 217.64/140.18 tff(615,plain,
% 217.64/140.18 (^[VarCurr: state_type] : rewrite((v115(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false))) <=> (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))))),
% 217.64/140.18 inference(bind,[status(th)],[])).
% 217.64/140.18 tff(616,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v115(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(quant_intro,[status(thm)],[615])).
% 217.64/140.18 tff(617,axiom,(![VarCurr: state_type] : (v115(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4')).
% 217.64/140.18 tff(618,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[617, 616])).
% 217.64/140.18 tff(619,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[618, 614])).
% 217.64/140.18 tff(620,plain,(
% 217.64/140.18 ![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(skolemize,[status(sab)],[619])).
% 217.64/140.18 tff(621,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[620, 613])).
% 217.64/140.18 tff(622,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[621, 611])).
% 217.64/140.18 tff(623,plain,
% 217.64/140.18 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB81) <=> (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB81) <=> (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))))))),
% 217.64/140.18 inference(rewrite,[status(thm)],[])).
% 217.64/140.18 tff(624,plain,
% 217.64/140.18 ((v115(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 2) | (~v84(constB81, 1))))) <=> (v115(constB81) <=> (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))))),
% 217.64/140.18 inference(rewrite,[status(thm)],[])).
% 217.64/140.18 tff(625,plain,
% 217.64/140.18 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 2) | (~v84(constB81, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB81) <=> (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))))))),
% 217.64/140.18 inference(monotonicity,[status(thm)],[624])).
% 217.64/140.18 tff(626,plain,
% 217.64/140.18 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 2) | (~v84(constB81, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB81) <=> (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))))))),
% 217.64/140.18 inference(transitivity,[status(thm)],[625, 623])).
% 217.64/140.18 tff(627,plain,
% 217.64/140.18 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 2) | (~v84(constB81, 1)))))),
% 217.64/140.18 inference(quant_inst,[status(thm)],[])).
% 217.64/140.18 tff(628,plain,
% 217.64/140.18 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB81) <=> (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[627, 626])).
% 217.64/140.18 tff(629,plain,
% 217.64/140.18 (v115(constB81) <=> (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[628, 622])).
% 217.64/140.18 tff(630,plain,
% 217.64/140.18 ((v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))) | (~v84(constB81, 0))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(631,plain,
% 217.64/140.18 (v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[630, 376])).
% 217.64/140.18 tff(632,plain,
% 217.64/140.18 ((~(v115(constB81) <=> (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))))) | (~v115(constB81)) | (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(633,plain,
% 217.64/140.18 ((~(v115(constB81) <=> (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))))) | (~v115(constB81))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[632, 631])).
% 217.64/140.18 tff(634,plain,
% 217.64/140.18 (~v115(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[633, 629])).
% 217.64/140.18 tff(635,plain,
% 217.64/140.18 ((~(v112(constB81) | v115(constB81))) | v112(constB81) | v115(constB81)),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(636,plain,
% 217.64/140.18 ((~(v112(constB81) | v115(constB81))) | v112(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[635, 634])).
% 217.64/140.18 tff(637,plain,
% 217.64/140.18 (~(v112(constB81) | v115(constB81))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[636, 609])).
% 217.64/140.18 tff(638,plain,
% 217.64/140.18 ((~(v111(constB81) <=> (v112(constB81) | v115(constB81)))) | (~v111(constB81)) | (v112(constB81) | v115(constB81))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(639,plain,
% 217.64/140.18 (~v111(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[638, 637, 576])).
% 217.64/140.18 tff(640,plain,
% 217.64/140.18 ((~(v111(constB81) | v116(constB81))) | v111(constB81) | v116(constB81)),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(641,plain,
% 217.64/140.18 (~(v111(constB81) | v116(constB81))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[640, 639, 574])).
% 217.64/140.18 tff(642,plain,
% 217.64/140.18 ((~(v110(constB81) <=> (v111(constB81) | v116(constB81)))) | (~v110(constB81)) | (v111(constB81) | v116(constB81))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(643,plain,
% 217.64/140.18 (~v110(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[642, 641, 508])).
% 217.64/140.18 tff(644,plain,
% 217.64/140.18 (^[VarCurr: state_type] : refl((v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))) <=> (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))))),
% 217.64/140.18 inference(bind,[status(th)],[])).
% 217.64/140.18 tff(645,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 217.64/140.18 inference(quant_intro,[status(thm)],[644])).
% 217.64/140.18 tff(646,plain,
% 217.64/140.18 (^[VarCurr: state_type] : rewrite((v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))))),
% 217.64/140.18 inference(bind,[status(th)],[])).
% 217.64/140.18 tff(647,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 217.64/140.18 inference(quant_intro,[status(thm)],[646])).
% 217.64/140.18 tff(648,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(rewrite,[status(thm)],[])).
% 217.64/140.18 tff(649,plain,
% 217.64/140.18 (^[VarCurr: state_type] : rewrite((v117(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false))) <=> (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))))),
% 217.64/140.18 inference(bind,[status(th)],[])).
% 217.64/140.18 tff(650,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v117(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(quant_intro,[status(thm)],[649])).
% 217.64/140.18 tff(651,axiom,(![VarCurr: state_type] : (v117(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6')).
% 217.64/140.18 tff(652,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[651, 650])).
% 217.64/140.18 tff(653,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[652, 648])).
% 217.64/140.18 tff(654,plain,(
% 217.64/140.18 ![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 217.64/140.18 inference(skolemize,[status(sab)],[653])).
% 217.64/140.18 tff(655,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[654, 647])).
% 217.64/140.18 tff(656,plain,
% 217.64/140.18 (![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[655, 645])).
% 217.64/140.18 tff(657,plain,
% 217.64/140.18 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))))))),
% 217.64/140.18 inference(rewrite,[status(thm)],[])).
% 217.64/140.18 tff(658,plain,
% 217.64/140.18 ((v117(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 1) | (~v84(constB81, 2))))) <=> (v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))))),
% 217.64/140.18 inference(rewrite,[status(thm)],[])).
% 217.64/140.18 tff(659,plain,
% 217.64/140.18 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 1) | (~v84(constB81, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))))))),
% 217.64/140.18 inference(monotonicity,[status(thm)],[658])).
% 217.64/140.18 tff(660,plain,
% 217.64/140.18 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 1) | (~v84(constB81, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))))))),
% 217.64/140.18 inference(transitivity,[status(thm)],[659, 657])).
% 217.64/140.18 tff(661,plain,
% 217.64/140.18 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 1) | (~v84(constB81, 2)))))),
% 217.64/140.18 inference(quant_inst,[status(thm)],[])).
% 217.64/140.18 tff(662,plain,
% 217.64/140.18 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))))),
% 217.64/140.18 inference(modus_ponens,[status(thm)],[661, 660])).
% 217.64/140.18 tff(663,plain,
% 217.64/140.18 (v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[662, 656])).
% 217.64/140.18 tff(664,plain,
% 217.64/140.18 ((v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))) | (~v84(constB81, 0))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(665,plain,
% 217.64/140.18 (v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[664, 376])).
% 217.64/140.18 tff(666,plain,
% 217.64/140.18 ((~(v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))))) | (~v117(constB81)) | (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(667,plain,
% 217.64/140.18 ((~(v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))))) | (~v117(constB81))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[666, 665])).
% 217.64/140.18 tff(668,plain,
% 217.64/140.18 (~v117(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[667, 663])).
% 217.64/140.18 tff(669,plain,
% 217.64/140.18 ((~(v110(constB81) | v117(constB81))) | v110(constB81) | v117(constB81)),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(670,plain,
% 217.64/140.18 ((~(v110(constB81) | v117(constB81))) | v110(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[669, 668])).
% 217.64/140.18 tff(671,plain,
% 217.64/140.18 (~(v110(constB81) | v117(constB81))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[670, 643])).
% 217.64/140.18 tff(672,plain,
% 217.64/140.18 ((~(v109(constB81) <=> (v110(constB81) | v117(constB81)))) | (~v109(constB81)) | (v110(constB81) | v117(constB81))),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(673,plain,
% 217.64/140.18 (~v109(constB81)),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[672, 671, 506])).
% 217.64/140.18 tff(674,plain,
% 217.64/140.18 ((~(v109(constB81) | v118(constB81))) | v109(constB81) | v118(constB81)),
% 217.64/140.18 inference(tautology,[status(thm)],[])).
% 217.64/140.18 tff(675,plain,
% 217.64/140.18 (~(v109(constB81) | v118(constB81))),
% 217.64/140.18 inference(unit_resolution,[status(thm)],[674, 673, 504])).
% 217.64/140.18 tff(676,assumption,(~(v108(constB81) <=> (v109(constB81) | v118(constB81)))), introduced(assumption)).
% 217.64/140.18 tff(677,plain,
% 217.64/140.18 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB81) <=> (v109(constB81) | v118(constB81)))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(678,plain,
% 217.64/140.19 ($false),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[677, 428, 676])).
% 217.64/140.19 tff(679,plain,(v108(constB81) <=> (v109(constB81) | v118(constB81))), inference(lemma,lemma(discharge,[]))).
% 217.64/140.19 tff(680,plain,
% 217.64/140.19 ((~(v108(constB81) <=> (v109(constB81) | v118(constB81)))) | (~v108(constB81)) | (v109(constB81) | v118(constB81))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(681,plain,
% 217.64/140.19 ((~v108(constB81)) | (v109(constB81) | v118(constB81))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[680, 679])).
% 217.64/140.19 tff(682,plain,
% 217.64/140.19 (~v108(constB81)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[681, 675])).
% 217.64/140.19 tff(683,plain,
% 217.64/140.19 ((~(v108(constB81) | v119(constB81))) | v108(constB81) | v119(constB81)),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(684,plain,
% 217.64/140.19 (~(v108(constB81) | v119(constB81))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[683, 682, 381])).
% 217.64/140.19 tff(685,assumption,(~(v107(constB81) <=> (v108(constB81) | v119(constB81)))), introduced(assumption)).
% 217.64/140.19 tff(686,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB81) <=> (v108(constB81) | v119(constB81)))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(687,plain,
% 217.64/140.19 ($false),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[686, 187, 685])).
% 217.64/140.19 tff(688,plain,(v107(constB81) <=> (v108(constB81) | v119(constB81))), inference(lemma,lemma(discharge,[]))).
% 217.64/140.19 tff(689,plain,
% 217.64/140.19 ((~(v107(constB81) <=> (v108(constB81) | v119(constB81)))) | (~v107(constB81)) | (v108(constB81) | v119(constB81))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(690,plain,
% 217.64/140.19 ((~v107(constB81)) | (v108(constB81) | v119(constB81))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[689, 688])).
% 217.64/140.19 tff(691,plain,
% 217.64/140.19 (~v107(constB81)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[690, 684])).
% 217.64/140.19 tff(692,plain,
% 217.64/140.19 (((~v107(constB81)) | (~v120(constB81))) | v107(constB81)),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(693,plain,
% 217.64/140.19 ((~v107(constB81)) | (~v120(constB81))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[692, 691])).
% 217.64/140.19 tff(694,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB81) <=> (~((~v107(constB81)) | (~v120(constB81)))))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(695,plain,
% 217.64/140.19 (v106(constB81) <=> (~((~v107(constB81)) | (~v120(constB81))))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[694, 132])).
% 217.64/140.19 tff(696,plain,
% 217.64/140.19 ((~(v106(constB81) <=> (~((~v107(constB81)) | (~v120(constB81)))))) | (~v106(constB81)) | (~((~v107(constB81)) | (~v120(constB81))))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(697,plain,
% 217.64/140.19 ((~v106(constB81)) | (~((~v107(constB81)) | (~v120(constB81))))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[696, 695])).
% 217.64/140.19 tff(698,plain,
% 217.64/140.19 (~v106(constB81)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[697, 693])).
% 217.64/140.19 tff(699,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB81) <=> v26(constB81))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(700,plain,
% 217.64/140.19 (v105(constB81) <=> v26(constB81)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[699, 156])).
% 217.64/140.19 tff(701,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(702,plain,
% 217.64/140.19 (~v26(constB81)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[701, 168])).
% 217.64/140.19 tff(703,plain,
% 217.64/140.19 ((~(v105(constB81) <=> v26(constB81))) | (~v105(constB81)) | v26(constB81)),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(704,plain,
% 217.64/140.19 ((~(v105(constB81) <=> v26(constB81))) | (~v105(constB81))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[703, 702])).
% 217.64/140.19 tff(705,plain,
% 217.64/140.19 (~v105(constB81)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[704, 700])).
% 217.64/140.19 tff(706,plain,
% 217.64/140.19 ((~(v105(constB81) | v106(constB81))) | v105(constB81) | v106(constB81)),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(707,plain,
% 217.64/140.19 ((~(v105(constB81) | v106(constB81))) | v106(constB81)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[706, 705])).
% 217.64/140.19 tff(708,plain,
% 217.64/140.19 (~(v105(constB81) | v106(constB81))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[707, 698])).
% 217.64/140.19 tff(709,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB81) <=> (v105(constB81) | v106(constB81)))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(710,plain,
% 217.64/140.19 (v102(constB81) <=> (v105(constB81) | v106(constB81))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[709, 115])).
% 217.64/140.19 tff(711,plain,
% 217.64/140.19 ((~(v102(constB81) <=> (v105(constB81) | v106(constB81)))) | (~v102(constB81)) | (v105(constB81) | v106(constB81))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(712,plain,
% 217.64/140.19 ((~v102(constB81)) | (v105(constB81) | v106(constB81))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[711, 710])).
% 217.64/140.19 tff(713,plain,
% 217.64/140.19 (~v102(constB81)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[712, 708])).
% 217.64/140.19 tff(714,plain,
% 217.64/140.19 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(715,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81')).
% 217.64/140.19 tff(716,plain,
% 217.64/140.19 (nextState(constB81, constB82)),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[715, 714])).
% 217.64/140.19 tff(717,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81)))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(718,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81)))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(719,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81))),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[718, 717])).
% 217.64/140.19 tff(720,plain,
% 217.64/140.19 (v104(constB82) <=> v102(constB81)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[719, 716, 101])).
% 217.64/140.19 tff(721,plain,
% 217.64/140.19 ((~(v104(constB82) <=> v102(constB81))) | (~v104(constB82)) | v102(constB81)),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(722,plain,
% 217.64/140.19 ((~v104(constB82)) | v102(constB81)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[721, 720])).
% 217.64/140.19 tff(723,plain,
% 217.64/140.19 (~v104(constB82)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[722, 713])).
% 217.64/140.19 tff(724,plain,
% 217.64/140.19 (((~v95(constB82)) | (~v104(constB82))) | v104(constB82)),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(725,plain,
% 217.64/140.19 ((~v95(constB82)) | (~v104(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[724, 723])).
% 217.64/140.19 tff(726,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82))))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(727,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82))))))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(728,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82)))))),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[727, 726])).
% 217.64/140.19 tff(729,plain,
% 217.64/140.19 (v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82))))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[728, 716, 14])).
% 217.64/140.19 tff(730,plain,
% 217.64/140.19 ((~(v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82)))))) | (~v94(constB82)) | (~((~v95(constB82)) | (~v104(constB82))))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(731,plain,
% 217.64/140.19 ((~v94(constB82)) | (~((~v95(constB82)) | (~v104(constB82))))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[730, 729])).
% 217.64/140.19 tff(732,plain,
% 217.64/140.19 (~v94(constB82)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[731, 725])).
% 217.64/140.19 tff(733,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB82) | (~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB82) | (~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(734,plain,
% 217.64/140.19 ((v94(constB82) | (~nextState(constB81, constB82)) | ![B: $int] : ((v84(constB82, B) <=> v84(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB82) | (~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(735,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB82) | (~nextState(constB81, constB82)) | ![B: $int] : ((v84(constB82, B) <=> v84(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB82) | (~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))))),
% 217.64/140.19 inference(monotonicity,[status(thm)],[734])).
% 217.64/140.19 tff(736,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB82) | (~nextState(constB81, constB82)) | ![B: $int] : ((v84(constB82, B) <=> v84(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB82) | (~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B))))),
% 217.64/140.19 inference(transitivity,[status(thm)],[735, 733])).
% 217.64/140.19 tff(737,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB82) | (~nextState(constB81, constB82)) | ![B: $int] : ((v84(constB82, B) <=> v84(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(738,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB82) | (~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[737, 736])).
% 217.64/140.19 tff(739,plain,
% 217.64/140.19 (v94(constB82) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[738, 716, 235])).
% 217.64/140.19 tff(740,plain,
% 217.64/140.19 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[739, 732])).
% 217.64/140.19 tff(741,plain,
% 217.64/140.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 2) <=> v84(constB81, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 2) <=> v84(constB81, 2)))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(742,plain,
% 217.64/140.19 (($false | $false | (v84(constB82, 2) <=> v84(constB81, 2))) <=> (v84(constB82, 2) <=> v84(constB81, 2))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(743,plain,
% 217.64/140.19 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB82, 2) <=> v84(constB81, 2))) <=> ($false | $false | (v84(constB82, 2) <=> v84(constB81, 2)))),
% 217.64/140.19 inference(monotonicity,[status(thm)],[534, 533])).
% 217.64/140.19 tff(744,plain,
% 217.64/140.19 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB82, 2) <=> v84(constB81, 2))) <=> (v84(constB82, 2) <=> v84(constB81, 2))),
% 217.64/140.19 inference(transitivity,[status(thm)],[743, 742])).
% 217.64/140.19 tff(745,plain,
% 217.64/140.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB82, 2) <=> v84(constB81, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 2) <=> v84(constB81, 2)))),
% 217.64/140.19 inference(monotonicity,[status(thm)],[744])).
% 217.64/140.19 tff(746,plain,
% 217.64/140.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB82, 2) <=> v84(constB81, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 2) <=> v84(constB81, 2)))),
% 217.64/140.19 inference(transitivity,[status(thm)],[745, 741])).
% 217.64/140.19 tff(747,plain,
% 217.64/140.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB82, 2) <=> v84(constB81, 2)))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(748,plain,
% 217.64/140.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 2) <=> v84(constB81, 2))),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[747, 746])).
% 217.64/140.19 tff(749,plain,
% 217.64/140.19 (v84(constB82, 2) <=> v84(constB81, 2)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[748, 740])).
% 217.64/140.19 tff(750,plain,
% 217.64/140.19 ((~(v84(constB82, 2) <=> v84(constB81, 2))) | v84(constB82, 2) | (~v84(constB81, 2))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(751,plain,
% 217.64/140.19 ((~(v84(constB82, 2) <=> v84(constB81, 2))) | v84(constB82, 2)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[750, 570])).
% 217.64/140.19 tff(752,plain,
% 217.64/140.19 (v84(constB82, 2)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[751, 749])).
% 217.64/140.19 tff(753,plain,
% 217.64/140.19 ((v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0))) | (~v84(constB82, 2))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(754,plain,
% 217.64/140.19 (v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[753, 752])).
% 217.64/140.19 tff(755,plain,
% 217.64/140.19 ((~(v114(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0)))))) | (~v114(constB82)) | (~(v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0))))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(756,plain,
% 217.64/140.19 ((~(v114(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 1) | (~v84(constB82, 0)))))) | (~v114(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[755, 754])).
% 217.64/140.19 tff(757,plain,
% 217.64/140.19 (~v114(constB82)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[756, 305])).
% 217.64/140.19 tff(758,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2))))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(759,plain,
% 217.64/140.19 (v113(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2)))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[758, 597])).
% 217.64/140.19 tff(760,plain,
% 217.64/140.19 ((v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2)) | (~v84(constB82, 2))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(761,plain,
% 217.64/140.19 (v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[760, 752])).
% 217.64/140.19 tff(762,plain,
% 217.64/140.19 ((~(v113(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2))))) | (~v113(constB82)) | (~(v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2)))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(763,plain,
% 217.64/140.19 ((~(v113(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2))))) | (~v113(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[762, 761])).
% 217.64/140.19 tff(764,plain,
% 217.64/140.19 (~v113(constB82)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[763, 759])).
% 217.64/140.19 tff(765,plain,
% 217.64/140.19 ((~(v113(constB82) | v114(constB82))) | v113(constB82) | v114(constB82)),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(766,plain,
% 217.64/140.19 (~(v113(constB82) | v114(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[765, 764, 757])).
% 217.64/140.19 tff(767,plain,
% 217.64/140.19 ((~(v112(constB82) <=> (v113(constB82) | v114(constB82)))) | (~v112(constB82)) | (v113(constB82) | v114(constB82))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(768,plain,
% 217.64/140.19 ((~(v112(constB82) <=> (v113(constB82) | v114(constB82)))) | (~v112(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[767, 766])).
% 217.64/140.19 tff(769,plain,
% 217.64/140.19 (~v112(constB82)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[768, 285])).
% 217.64/140.19 tff(770,plain,
% 217.64/140.19 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1))))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(771,plain,
% 217.64/140.19 ((v115(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 2) | (~v84(constB82, 1))))) <=> (v115(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1)))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(772,plain,
% 217.64/140.19 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 2) | (~v84(constB82, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1))))))),
% 217.64/140.19 inference(monotonicity,[status(thm)],[771])).
% 217.64/140.19 tff(773,plain,
% 217.64/140.19 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 2) | (~v84(constB82, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1))))))),
% 217.64/140.19 inference(transitivity,[status(thm)],[772, 770])).
% 217.64/140.19 tff(774,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 2) | (~v84(constB82, 1)))))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(775,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1)))))),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[774, 773])).
% 217.64/140.19 tff(776,plain,
% 217.64/140.19 (v115(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1))))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[775, 622])).
% 217.64/140.19 tff(777,plain,
% 217.64/140.19 ((v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1))) | (~v84(constB82, 2))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(778,plain,
% 217.64/140.19 (v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[777, 752])).
% 217.64/140.19 tff(779,plain,
% 217.64/140.19 ((~(v115(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1)))))) | (~v115(constB82)) | (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1))))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(780,plain,
% 217.64/140.19 ((~(v115(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1)))))) | (~v115(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[779, 778])).
% 217.64/140.19 tff(781,plain,
% 217.64/140.19 (~v115(constB82)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[780, 776])).
% 217.64/140.19 tff(782,plain,
% 217.64/140.19 ((~(v112(constB82) | v115(constB82))) | v112(constB82) | v115(constB82)),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(783,plain,
% 217.64/140.19 ((~(v112(constB82) | v115(constB82))) | v112(constB82)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[782, 781])).
% 217.64/140.19 tff(784,plain,
% 217.64/140.19 (~(v112(constB82) | v115(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[783, 769])).
% 217.64/140.19 tff(785,plain,
% 217.64/140.19 ((~(v111(constB82) <=> (v112(constB82) | v115(constB82)))) | (~v111(constB82)) | (v112(constB82) | v115(constB82))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(786,plain,
% 217.64/140.19 (~v111(constB82)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[785, 784, 276])).
% 217.64/140.19 tff(787,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB82) <=> (~(v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0)))))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(788,plain,
% 217.64/140.19 (v116(constB82) <=> (~(v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0))))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[787, 521])).
% 217.64/140.19 tff(789,plain,
% 217.64/140.19 ((v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0))) | (~v84(constB82, 2))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(790,plain,
% 217.64/140.19 (v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[789, 752])).
% 217.64/140.19 tff(791,plain,
% 217.64/140.19 ((~(v116(constB82) <=> (~(v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0)))))) | (~v116(constB82)) | (~(v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0))))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(792,plain,
% 217.64/140.19 ((~(v116(constB82) <=> (~(v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0)))))) | (~v116(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[791, 790])).
% 217.64/140.19 tff(793,plain,
% 217.64/140.19 (~v116(constB82)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[792, 788])).
% 217.64/140.19 tff(794,plain,
% 217.64/140.19 ((~(v111(constB82) | v116(constB82))) | v111(constB82) | v116(constB82)),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(795,plain,
% 217.64/140.19 ((~(v111(constB82) | v116(constB82))) | v111(constB82)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[794, 793])).
% 217.64/140.19 tff(796,plain,
% 217.64/140.19 (~(v111(constB82) | v116(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[795, 786])).
% 217.64/140.19 tff(797,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB82) <=> (v110(constB82) | v117(constB82)))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(798,plain,
% 217.64/140.19 (v109(constB82) <=> (v110(constB82) | v117(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[797, 456])).
% 217.64/140.19 tff(799,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB82) <=> (v109(constB82) | v118(constB82)))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(800,plain,
% 217.64/140.19 (v108(constB82) <=> (v109(constB82) | v118(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[799, 428])).
% 217.64/140.19 tff(801,plain,
% 217.64/140.19 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1))))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(802,plain,
% 217.64/140.19 ((v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 1)) | (~v84(constB82, 2))))) <=> (v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1)))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(803,plain,
% 217.64/140.19 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 1)) | (~v84(constB82, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1))))))),
% 217.64/140.19 inference(monotonicity,[status(thm)],[802])).
% 217.64/140.19 tff(804,plain,
% 217.64/140.19 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 1)) | (~v84(constB82, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1))))))),
% 217.64/140.19 inference(transitivity,[status(thm)],[803, 801])).
% 217.64/140.19 tff(805,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 1)) | (~v84(constB82, 2)))))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(806,plain,
% 217.64/140.19 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1)))))),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[805, 804])).
% 217.64/140.19 tff(807,plain,
% 217.64/140.19 (v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1))))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[806, 318])).
% 217.64/140.19 tff(808,plain,
% 217.64/140.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 0) <=> v84(constB81, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 0) <=> v84(constB81, 0)))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(809,plain,
% 217.64/140.19 (($false | $false | (v84(constB82, 0) <=> v84(constB81, 0))) <=> (v84(constB82, 0) <=> v84(constB81, 0))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(810,plain,
% 217.64/140.19 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB82, 0) <=> v84(constB81, 0))) <=> ($false | $false | (v84(constB82, 0) <=> v84(constB81, 0)))),
% 217.64/140.19 inference(monotonicity,[status(thm)],[250, 249])).
% 217.64/140.19 tff(811,plain,
% 217.64/140.19 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB82, 0) <=> v84(constB81, 0))) <=> (v84(constB82, 0) <=> v84(constB81, 0))),
% 217.64/140.19 inference(transitivity,[status(thm)],[810, 809])).
% 217.64/140.19 tff(812,plain,
% 217.64/140.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB82, 0) <=> v84(constB81, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 0) <=> v84(constB81, 0)))),
% 217.64/140.19 inference(monotonicity,[status(thm)],[811])).
% 217.64/140.19 tff(813,plain,
% 217.64/140.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB82, 0) <=> v84(constB81, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 0) <=> v84(constB81, 0)))),
% 217.64/140.19 inference(transitivity,[status(thm)],[812, 808])).
% 217.64/140.19 tff(814,plain,
% 217.64/140.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB82, 0) <=> v84(constB81, 0)))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(815,plain,
% 217.64/140.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 0) <=> v84(constB81, 0))),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[814, 813])).
% 217.64/140.19 tff(816,plain,
% 217.64/140.19 (v84(constB82, 0) <=> v84(constB81, 0)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[815, 740])).
% 217.64/140.19 tff(817,plain,
% 217.64/140.19 ((~(v84(constB82, 0) <=> v84(constB81, 0))) | v84(constB82, 0) | (~v84(constB81, 0))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(818,plain,
% 217.64/140.19 ((~(v84(constB82, 0) <=> v84(constB81, 0))) | v84(constB82, 0)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[817, 376])).
% 217.64/140.19 tff(819,plain,
% 217.64/140.19 (v84(constB82, 0)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[818, 816])).
% 217.64/140.19 tff(820,plain,
% 217.64/140.19 ((v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1))) | (~v84(constB82, 0))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(821,plain,
% 217.64/140.19 (v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[820, 819])).
% 217.64/140.19 tff(822,plain,
% 217.64/140.19 ((~(v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1)))))) | (~v119(constB82)) | (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1))))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(823,plain,
% 217.64/140.19 ((~(v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1)))))) | (~v119(constB82))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[822, 821])).
% 217.64/140.19 tff(824,plain,
% 217.64/140.19 (~v119(constB82)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[823, 807])).
% 217.64/140.19 tff(825,plain,
% 217.64/140.19 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(826,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82')).
% 217.64/140.19 tff(827,plain,
% 217.64/140.19 (nextState(constB82, constB83)),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[826, 825])).
% 217.64/140.19 tff(828,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83))))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(829,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83))))))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(830,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83)))))),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[829, 828])).
% 217.64/140.19 tff(831,plain,
% 217.64/140.19 (v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83))))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[830, 827, 14])).
% 217.64/140.19 tff(832,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(833,plain,
% 217.64/140.19 (((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83)))))) <=> ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(834,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))))),
% 217.64/140.19 inference(monotonicity,[status(thm)],[833])).
% 217.64/140.19 tff(835,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))),
% 217.64/140.19 inference(transitivity,[status(thm)],[834, 832])).
% 217.64/140.19 tff(836,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83))))))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(837,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[836, 835])).
% 217.64/140.19 tff(838,plain,
% 217.64/140.19 (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[837, 827, 37])).
% 217.64/140.19 tff(839,plain,
% 217.64/140.19 ((~v1(constB83)) <=> (~v1(constB83))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(840,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83')).
% 217.64/140.19 tff(841,plain,
% 217.64/140.19 (~v1(constB83)),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[840, 839])).
% 217.64/140.19 tff(842,plain,
% 217.64/140.19 (((~v1(constB83)) | (~v96(constB83))) | v1(constB83)),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(843,plain,
% 217.64/140.19 ((~v1(constB83)) | (~v96(constB83))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[842, 841])).
% 217.64/140.19 tff(844,plain,
% 217.64/140.19 ((~(v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))) | (~v95(constB83)) | (~((~v1(constB83)) | (~v96(constB83))))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(845,plain,
% 217.64/140.19 ((~(v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))) | (~v95(constB83))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[844, 843])).
% 217.64/140.19 tff(846,plain,
% 217.64/140.19 (~v95(constB83)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[845, 838])).
% 217.64/140.19 tff(847,plain,
% 217.64/140.19 (((~v95(constB83)) | (~v104(constB83))) | v95(constB83)),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(848,plain,
% 217.64/140.19 ((~v95(constB83)) | (~v104(constB83))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[847, 846])).
% 217.64/140.19 tff(849,plain,
% 217.64/140.19 ((~(v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83)))))) | (~v94(constB83)) | (~((~v95(constB83)) | (~v104(constB83))))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(850,plain,
% 217.64/140.19 (~v94(constB83)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[849, 848, 831])).
% 217.64/140.19 tff(851,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB83) | (~nextState(constB82, constB83)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB83) | (~nextState(constB82, constB83)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(852,plain,
% 217.64/140.19 ((v94(constB83) | (~nextState(constB82, constB83)) | ![B: $int] : ((v84(constB83, B) <=> v84(constB82, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB83) | (~nextState(constB82, constB83)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B))))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(853,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB83) | (~nextState(constB82, constB83)) | ![B: $int] : ((v84(constB83, B) <=> v84(constB82, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB83) | (~nextState(constB82, constB83)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))))),
% 217.64/140.19 inference(monotonicity,[status(thm)],[852])).
% 217.64/140.19 tff(854,plain,
% 217.64/140.19 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB83) | (~nextState(constB82, constB83)) | ![B: $int] : ((v84(constB83, B) <=> v84(constB82, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB83) | (~nextState(constB82, constB83)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B))))),
% 217.64/140.19 inference(transitivity,[status(thm)],[853, 851])).
% 217.64/140.19 tff(855,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB83) | (~nextState(constB82, constB83)) | ![B: $int] : ((v84(constB83, B) <=> v84(constB82, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(856,plain,
% 217.64/140.19 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB83) | (~nextState(constB82, constB83)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[855, 854])).
% 217.64/140.19 tff(857,plain,
% 217.64/140.19 (v94(constB83) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[856, 827, 235])).
% 217.64/140.19 tff(858,plain,
% 217.64/140.19 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[857, 850])).
% 217.64/140.19 tff(859,plain,
% 217.64/140.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 2) <=> v84(constB82, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 2) <=> v84(constB82, 2)))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(860,plain,
% 217.64/140.19 (($false | $false | (v84(constB83, 2) <=> v84(constB82, 2))) <=> (v84(constB83, 2) <=> v84(constB82, 2))),
% 217.64/140.19 inference(rewrite,[status(thm)],[])).
% 217.64/140.19 tff(861,plain,
% 217.64/140.19 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB83, 2) <=> v84(constB82, 2))) <=> ($false | $false | (v84(constB83, 2) <=> v84(constB82, 2)))),
% 217.64/140.19 inference(monotonicity,[status(thm)],[534, 533])).
% 217.64/140.19 tff(862,plain,
% 217.64/140.19 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB83, 2) <=> v84(constB82, 2))) <=> (v84(constB83, 2) <=> v84(constB82, 2))),
% 217.64/140.19 inference(transitivity,[status(thm)],[861, 860])).
% 217.64/140.19 tff(863,plain,
% 217.64/140.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB83, 2) <=> v84(constB82, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 2) <=> v84(constB82, 2)))),
% 217.64/140.19 inference(monotonicity,[status(thm)],[862])).
% 217.64/140.19 tff(864,plain,
% 217.64/140.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB83, 2) <=> v84(constB82, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 2) <=> v84(constB82, 2)))),
% 217.64/140.19 inference(transitivity,[status(thm)],[863, 859])).
% 217.64/140.19 tff(865,plain,
% 217.64/140.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB83, 2) <=> v84(constB82, 2)))),
% 217.64/140.19 inference(quant_inst,[status(thm)],[])).
% 217.64/140.19 tff(866,plain,
% 217.64/140.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 2) <=> v84(constB82, 2))),
% 217.64/140.19 inference(modus_ponens,[status(thm)],[865, 864])).
% 217.64/140.19 tff(867,plain,
% 217.64/140.19 (v84(constB83, 2) <=> v84(constB82, 2)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[866, 858])).
% 217.64/140.19 tff(868,plain,
% 217.64/140.19 ((~(v84(constB83, 2) <=> v84(constB82, 2))) | v84(constB83, 2) | (~v84(constB82, 2))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(869,plain,
% 217.64/140.19 ((~(v84(constB83, 2) <=> v84(constB82, 2))) | v84(constB83, 2)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[868, 752])).
% 217.64/140.19 tff(870,plain,
% 217.64/140.19 (v84(constB83, 2)),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[869, 867])).
% 217.64/140.19 tff(871,plain,
% 217.64/140.19 ((v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))) | (~v84(constB83, 2))),
% 217.64/140.19 inference(tautology,[status(thm)],[])).
% 217.64/140.19 tff(872,plain,
% 217.64/140.19 (v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))),
% 217.64/140.19 inference(unit_resolution,[status(thm)],[871, 870])).
% 217.64/140.19 tff(873,plain,
% 217.64/140.19 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0))))))),
% 217.64/140.20 inference(rewrite,[status(thm)],[])).
% 217.64/140.20 tff(874,plain,
% 217.64/140.20 ((v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 0)) | (~v84(constB82, 2))))) <=> (v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0)))))),
% 217.64/140.20 inference(rewrite,[status(thm)],[])).
% 217.64/140.20 tff(875,plain,
% 217.64/140.20 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 0)) | (~v84(constB82, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0))))))),
% 217.64/140.20 inference(monotonicity,[status(thm)],[874])).
% 217.64/140.20 tff(876,plain,
% 217.64/140.20 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 0)) | (~v84(constB82, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0))))))),
% 217.64/140.20 inference(transitivity,[status(thm)],[875, 873])).
% 217.64/140.20 tff(877,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 0)) | (~v84(constB82, 2)))))),
% 217.64/140.20 inference(quant_inst,[status(thm)],[])).
% 217.64/140.20 tff(878,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0)))))),
% 217.64/140.20 inference(modus_ponens,[status(thm)],[877, 876])).
% 217.64/140.20 tff(879,plain,
% 217.64/140.20 (v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0))))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[878, 394])).
% 217.64/140.20 tff(880,assumption,(~(v108(constB82) | v119(constB82))), introduced(assumption)).
% 217.64/140.20 tff(881,plain,
% 217.64/140.20 ((v108(constB82) | v119(constB82)) | (~v108(constB82))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(882,plain,
% 217.64/140.20 (~v108(constB82)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[881, 880])).
% 217.64/140.20 tff(883,plain,
% 217.64/140.20 ((~(v108(constB82) <=> (v109(constB82) | v118(constB82)))) | v108(constB82) | (~(v109(constB82) | v118(constB82)))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(884,plain,
% 217.64/140.20 ((~(v108(constB82) <=> (v109(constB82) | v118(constB82)))) | (~(v109(constB82) | v118(constB82)))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[883, 882])).
% 217.64/140.20 tff(885,plain,
% 217.64/140.20 (~(v109(constB82) | v118(constB82))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[884, 800])).
% 217.64/140.20 tff(886,plain,
% 217.64/140.20 ((v109(constB82) | v118(constB82)) | (~v118(constB82))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(887,plain,
% 217.64/140.20 (~v118(constB82)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[886, 885])).
% 217.64/140.20 tff(888,plain,
% 217.64/140.20 ((~(v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0)))))) | v118(constB82) | (v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0)))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(889,plain,
% 217.64/140.20 ((~(v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0)))))) | (v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0)))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[888, 887])).
% 217.64/140.20 tff(890,plain,
% 217.64/140.20 (v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[889, 879])).
% 217.64/140.20 tff(891,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB83) <=> (~(v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2)))))),
% 217.64/140.20 inference(quant_inst,[status(thm)],[])).
% 217.64/140.20 tff(892,plain,
% 217.64/140.20 (v118(constB83) <=> (~(v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2))))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[891, 394])).
% 217.64/140.20 tff(893,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB83) <=> (v109(constB83) | v118(constB83)))),
% 217.64/140.20 inference(quant_inst,[status(thm)],[])).
% 217.64/140.20 tff(894,plain,
% 217.64/140.20 (v108(constB83) <=> (v109(constB83) | v118(constB83))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[893, 428])).
% 217.64/140.20 tff(895,plain,
% 217.64/140.20 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1))))))),
% 217.64/140.20 inference(rewrite,[status(thm)],[])).
% 217.64/140.20 tff(896,plain,
% 217.64/140.20 ((v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 1)) | (~v84(constB83, 2))))) <=> (v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1)))))),
% 217.64/140.20 inference(rewrite,[status(thm)],[])).
% 217.64/140.20 tff(897,plain,
% 217.64/140.20 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 1)) | (~v84(constB83, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1))))))),
% 217.64/140.20 inference(monotonicity,[status(thm)],[896])).
% 217.64/140.20 tff(898,plain,
% 217.64/140.20 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 1)) | (~v84(constB83, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1))))))),
% 217.64/140.20 inference(transitivity,[status(thm)],[897, 895])).
% 217.64/140.20 tff(899,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 1)) | (~v84(constB83, 2)))))),
% 217.64/140.20 inference(quant_inst,[status(thm)],[])).
% 217.64/140.20 tff(900,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1)))))),
% 217.64/140.20 inference(modus_ponens,[status(thm)],[899, 898])).
% 217.64/140.20 tff(901,plain,
% 217.64/140.20 (v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1))))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[900, 318])).
% 217.64/140.20 tff(902,plain,
% 217.64/140.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 0) <=> v84(constB82, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 0) <=> v84(constB82, 0)))),
% 217.64/140.20 inference(rewrite,[status(thm)],[])).
% 217.64/140.20 tff(903,plain,
% 217.64/140.20 (($false | $false | (v84(constB83, 0) <=> v84(constB82, 0))) <=> (v84(constB83, 0) <=> v84(constB82, 0))),
% 217.64/140.20 inference(rewrite,[status(thm)],[])).
% 217.64/140.20 tff(904,plain,
% 217.64/140.20 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB83, 0) <=> v84(constB82, 0))) <=> ($false | $false | (v84(constB83, 0) <=> v84(constB82, 0)))),
% 217.64/140.20 inference(monotonicity,[status(thm)],[250, 249])).
% 217.64/140.20 tff(905,plain,
% 217.64/140.20 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB83, 0) <=> v84(constB82, 0))) <=> (v84(constB83, 0) <=> v84(constB82, 0))),
% 217.64/140.20 inference(transitivity,[status(thm)],[904, 903])).
% 217.64/140.20 tff(906,plain,
% 217.64/140.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB83, 0) <=> v84(constB82, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 0) <=> v84(constB82, 0)))),
% 217.64/140.20 inference(monotonicity,[status(thm)],[905])).
% 217.64/140.20 tff(907,plain,
% 217.64/140.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB83, 0) <=> v84(constB82, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 0) <=> v84(constB82, 0)))),
% 217.64/140.20 inference(transitivity,[status(thm)],[906, 902])).
% 217.64/140.20 tff(908,plain,
% 217.64/140.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB83, 0) <=> v84(constB82, 0)))),
% 217.64/140.20 inference(quant_inst,[status(thm)],[])).
% 217.64/140.20 tff(909,plain,
% 217.64/140.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 0) <=> v84(constB82, 0))),
% 217.64/140.20 inference(modus_ponens,[status(thm)],[908, 907])).
% 217.64/140.20 tff(910,plain,
% 217.64/140.20 (v84(constB83, 0) <=> v84(constB82, 0)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[909, 858])).
% 217.64/140.20 tff(911,plain,
% 217.64/140.20 (~(v109(constB82) | v118(constB82))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[883, 882, 800])).
% 217.64/140.20 tff(912,plain,
% 217.64/140.20 ((v109(constB82) | v118(constB82)) | (~v109(constB82))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(913,plain,
% 217.64/140.20 (~v109(constB82)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[912, 911])).
% 217.64/140.20 tff(914,plain,
% 217.64/140.20 ((~(v109(constB82) <=> (v110(constB82) | v117(constB82)))) | v109(constB82) | (~(v110(constB82) | v117(constB82)))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(915,plain,
% 217.64/140.20 (~(v110(constB82) | v117(constB82))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[914, 913, 798])).
% 217.64/140.20 tff(916,plain,
% 217.64/140.20 ((v110(constB82) | v117(constB82)) | (~v110(constB82))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(917,plain,
% 217.64/140.20 (~v110(constB82)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[916, 915])).
% 217.64/140.20 tff(918,plain,
% 217.64/140.20 ((~(v110(constB82) <=> (v111(constB82) | v116(constB82)))) | v110(constB82) | (~(v111(constB82) | v116(constB82)))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(919,plain,
% 217.64/140.20 (~(v111(constB82) | v116(constB82))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[918, 917, 267])).
% 217.64/140.20 tff(920,plain,
% 217.64/140.20 ((v111(constB82) | v116(constB82)) | (~v111(constB82))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(921,plain,
% 217.64/140.20 (~v111(constB82)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[920, 919])).
% 217.64/140.20 tff(922,plain,
% 217.64/140.20 ((~(v111(constB82) <=> (v112(constB82) | v115(constB82)))) | v111(constB82) | (~(v112(constB82) | v115(constB82)))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(923,plain,
% 217.64/140.20 (~(v112(constB82) | v115(constB82))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[922, 921, 276])).
% 217.64/140.20 tff(924,plain,
% 217.64/140.20 ((v112(constB82) | v115(constB82)) | (~v112(constB82))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(925,plain,
% 217.64/140.20 (~v112(constB82)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[924, 923])).
% 217.64/140.20 tff(926,plain,
% 217.64/140.20 ((~(v112(constB82) <=> (v113(constB82) | v114(constB82)))) | v112(constB82) | (~(v113(constB82) | v114(constB82)))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(927,plain,
% 217.64/140.20 (~(v113(constB82) | v114(constB82))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[926, 925, 285])).
% 217.64/140.20 tff(928,plain,
% 217.64/140.20 ((v113(constB82) | v114(constB82)) | (~v113(constB82))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(929,plain,
% 217.64/140.20 (~v113(constB82)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[928, 927])).
% 217.64/140.20 tff(930,plain,
% 217.64/140.20 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))))))),
% 217.64/140.20 inference(rewrite,[status(thm)],[])).
% 217.64/140.20 tff(931,plain,
% 217.64/140.20 ((v117(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 1) | (~v84(constB82, 2))))) <=> (v117(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2)))))),
% 217.64/140.20 inference(rewrite,[status(thm)],[])).
% 217.64/140.20 tff(932,plain,
% 217.64/140.20 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 1) | (~v84(constB82, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))))))),
% 217.64/140.20 inference(monotonicity,[status(thm)],[931])).
% 217.64/140.20 tff(933,plain,
% 217.64/140.20 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 1) | (~v84(constB82, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))))))),
% 217.64/140.20 inference(transitivity,[status(thm)],[932, 930])).
% 217.64/140.20 tff(934,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 1) | (~v84(constB82, 2)))))),
% 217.64/140.20 inference(quant_inst,[status(thm)],[])).
% 217.64/140.20 tff(935,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2)))))),
% 217.64/140.20 inference(modus_ponens,[status(thm)],[934, 933])).
% 217.64/140.20 tff(936,plain,
% 217.64/140.20 (v117(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[935, 656])).
% 217.64/140.20 tff(937,plain,
% 217.64/140.20 ((v110(constB82) | v117(constB82)) | (~v117(constB82))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(938,plain,
% 217.64/140.20 (~v117(constB82)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[937, 915])).
% 217.64/140.20 tff(939,plain,
% 217.64/140.20 ((~(v117(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2)))))) | v117(constB82) | (v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2)))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(940,plain,
% 217.64/140.20 (v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[939, 938, 936])).
% 217.64/140.20 tff(941,plain,
% 217.64/140.20 ((v108(constB82) | v119(constB82)) | (~v119(constB82))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(942,plain,
% 217.64/140.20 (~v119(constB82)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[941, 880])).
% 217.64/140.20 tff(943,plain,
% 217.64/140.20 ((~(v119(constB82) <=> (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1)))))) | v119(constB82) | (v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1)))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(944,plain,
% 217.64/140.20 (v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[943, 942, 807])).
% 217.64/140.20 tff(945,assumption,(~v84(constB82, 0)), introduced(assumption)).
% 217.64/140.20 tff(946,plain,
% 217.64/140.20 ((v112(constB82) | v115(constB82)) | (~v115(constB82))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(947,plain,
% 217.64/140.20 (~v115(constB82)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[946, 923])).
% 217.64/140.20 tff(948,plain,
% 217.64/140.20 ((~(v115(constB82) <=> (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1)))))) | v115(constB82) | (v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1)))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(949,plain,
% 217.64/140.20 (v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[948, 947, 776])).
% 217.64/140.20 tff(950,assumption,(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1))), introduced(assumption)).
% 217.64/140.20 tff(951,assumption,(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))), introduced(assumption)).
% 217.64/140.20 tff(952,assumption,(v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2)), introduced(assumption)).
% 217.64/140.20 tff(953,assumption,(~v84(constB82, 1)), introduced(assumption)).
% 217.64/140.20 tff(954,plain,
% 217.64/140.20 ((~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2)))) | v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(955,plain,
% 217.64/140.20 (~v84(constB82, 2)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[954, 953, 945, 951])).
% 217.64/140.20 tff(956,plain,
% 217.64/140.20 ((~(v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2))) | v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2)),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(957,plain,
% 217.64/140.20 ($false),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[956, 955, 953, 945, 952])).
% 217.64/140.20 tff(958,plain,(v84(constB82, 1) | v84(constB82, 0) | (~(v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2))) | (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.64/140.20 tff(959,plain,
% 217.64/140.20 (v84(constB82, 1)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[958, 945, 952, 951])).
% 217.64/140.20 tff(960,assumption,(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1))), introduced(assumption)).
% 217.64/140.20 tff(961,plain,
% 217.64/140.20 ((~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1)))) | v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(962,plain,
% 217.64/140.20 (~v84(constB82, 2)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[961, 959, 945, 960])).
% 217.64/140.20 tff(963,plain,
% 217.64/140.20 ((~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1)))) | v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(964,plain,
% 217.64/140.20 ($false),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[963, 962, 959, 945, 950])).
% 217.64/140.20 tff(965,plain,(v84(constB82, 0) | (~(v84(constB82, 2) | v84(constB82, 0) | (~v84(constB82, 1)))) | (~(v84(constB82, 0) | (~v84(constB82, 2)) | (~v84(constB82, 1)))) | (~(v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2))) | (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.64/140.20 tff(966,plain,
% 217.64/140.20 (~(v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[965, 949, 945, 944, 940])).
% 217.64/140.20 tff(967,plain,
% 217.64/140.20 ((~(v113(constB82) <=> (~(v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2))))) | v113(constB82) | (v84(constB82, 0) | v84(constB82, 1) | v84(constB82, 2))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(968,plain,
% 217.64/140.20 ($false),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[967, 966, 929, 759])).
% 217.64/140.20 tff(969,plain,((v108(constB82) | v119(constB82)) | v84(constB82, 0)), inference(lemma,lemma(discharge,[]))).
% 217.64/140.20 tff(970,plain,
% 217.64/140.20 (v84(constB82, 0)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[969, 880])).
% 217.64/140.20 tff(971,plain,
% 217.64/140.20 ((~(v84(constB83, 0) <=> v84(constB82, 0))) | v84(constB83, 0) | (~v84(constB82, 0))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(972,plain,
% 217.64/140.20 ((~(v84(constB83, 0) <=> v84(constB82, 0))) | v84(constB83, 0)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[971, 970])).
% 217.64/140.20 tff(973,plain,
% 217.64/140.20 (v84(constB83, 0)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[972, 910])).
% 217.64/140.20 tff(974,plain,
% 217.64/140.20 ((v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1))) | (~v84(constB83, 0))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(975,plain,
% 217.64/140.20 (v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[974, 973])).
% 217.64/140.20 tff(976,plain,
% 217.64/140.20 ((~(v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1)))))) | (~v119(constB83)) | (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1))))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(977,plain,
% 217.64/140.20 ((~(v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1)))))) | (~v119(constB83))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[976, 975])).
% 217.64/140.20 tff(978,plain,
% 217.64/140.20 (~v119(constB83)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[977, 901])).
% 217.64/140.20 tff(979,plain,
% 217.64/140.20 ((~(v108(constB83) | v119(constB83))) | v108(constB83) | v119(constB83)),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(980,plain,
% 217.64/140.20 (v108(constB83)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[979, 978, 258])).
% 217.64/140.20 tff(981,plain,
% 217.64/140.20 ((~(v108(constB83) <=> (v109(constB83) | v118(constB83)))) | (~v108(constB83)) | (v109(constB83) | v118(constB83))),
% 217.64/140.20 inference(tautology,[status(thm)],[])).
% 217.64/140.20 tff(982,plain,
% 217.64/140.20 ((~(v108(constB83) <=> (v109(constB83) | v118(constB83)))) | (v109(constB83) | v118(constB83))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[981, 980])).
% 217.64/140.20 tff(983,plain,
% 217.64/140.20 (v109(constB83) | v118(constB83)),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[982, 894])).
% 217.64/140.20 tff(984,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB83) <=> (v110(constB83) | v117(constB83)))),
% 217.64/140.20 inference(quant_inst,[status(thm)],[])).
% 217.64/140.20 tff(985,plain,
% 217.64/140.20 (v109(constB83) <=> (v110(constB83) | v117(constB83))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[984, 456])).
% 217.64/140.20 tff(986,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB83) <=> (v111(constB83) | v116(constB83)))),
% 217.64/140.20 inference(quant_inst,[status(thm)],[])).
% 217.64/140.20 tff(987,plain,
% 217.64/140.20 (v110(constB83) <=> (v111(constB83) | v116(constB83))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[986, 265])).
% 217.64/140.20 tff(988,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB83) <=> (v112(constB83) | v115(constB83)))),
% 217.64/140.20 inference(quant_inst,[status(thm)],[])).
% 217.64/140.20 tff(989,plain,
% 217.64/140.20 (v111(constB83) <=> (v112(constB83) | v115(constB83))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[988, 274])).
% 217.64/140.20 tff(990,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB83) <=> (v113(constB83) | v114(constB83)))),
% 217.64/140.20 inference(quant_inst,[status(thm)],[])).
% 217.64/140.20 tff(991,plain,
% 217.64/140.20 (v112(constB83) <=> (v113(constB83) | v114(constB83))),
% 217.64/140.20 inference(unit_resolution,[status(thm)],[990, 283])).
% 217.64/140.20 tff(992,plain,
% 217.64/140.20 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0)))))),
% 217.64/140.20 inference(quant_inst,[status(thm)],[])).
% 217.64/140.20 tff(993,plain,
% 217.64/140.20 (v114(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[992, 298])).
% 217.66/140.20 tff(994,assumption,(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))), introduced(assumption)).
% 217.66/140.20 tff(995,plain,
% 217.66/140.20 ((~(v114(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0)))))) | (~v114(constB83)) | (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(996,plain,
% 217.66/140.20 ((~(v114(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0)))))) | (~v114(constB83))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[995, 994])).
% 217.66/140.20 tff(997,plain,
% 217.66/140.20 (~v114(constB83)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[996, 993])).
% 217.66/140.20 tff(998,plain,
% 217.66/140.20 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2))))),
% 217.66/140.20 inference(quant_inst,[status(thm)],[])).
% 217.66/140.20 tff(999,plain,
% 217.66/140.20 (v113(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2)))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[998, 597])).
% 217.66/140.20 tff(1000,plain,
% 217.66/140.20 ((v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2)) | (~v84(constB83, 0))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1001,plain,
% 217.66/140.20 (v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1000, 973])).
% 217.66/140.20 tff(1002,plain,
% 217.66/140.20 ((~(v113(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2))))) | (~v113(constB83)) | (~(v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2)))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1003,plain,
% 217.66/140.20 ((~(v113(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2))))) | (~v113(constB83))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1002, 1001])).
% 217.66/140.20 tff(1004,plain,
% 217.66/140.20 (~v113(constB83)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1003, 999])).
% 217.66/140.20 tff(1005,plain,
% 217.66/140.20 ((~(v113(constB83) | v114(constB83))) | v113(constB83) | v114(constB83)),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1006,plain,
% 217.66/140.20 (~(v113(constB83) | v114(constB83))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1005, 1004, 997])).
% 217.66/140.20 tff(1007,plain,
% 217.66/140.20 ((~(v112(constB83) <=> (v113(constB83) | v114(constB83)))) | (~v112(constB83)) | (v113(constB83) | v114(constB83))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1008,plain,
% 217.66/140.20 ((~(v112(constB83) <=> (v113(constB83) | v114(constB83)))) | (~v112(constB83))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1007, 1006])).
% 217.66/140.20 tff(1009,plain,
% 217.66/140.20 (~v112(constB83)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1008, 991])).
% 217.66/140.20 tff(1010,plain,
% 217.66/140.20 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB83) <=> (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB83) <=> (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1))))))),
% 217.66/140.20 inference(rewrite,[status(thm)],[])).
% 217.66/140.20 tff(1011,plain,
% 217.66/140.20 ((v115(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 2) | (~v84(constB83, 1))))) <=> (v115(constB83) <=> (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1)))))),
% 217.66/140.20 inference(rewrite,[status(thm)],[])).
% 217.66/140.20 tff(1012,plain,
% 217.66/140.20 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 2) | (~v84(constB83, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB83) <=> (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1))))))),
% 217.66/140.20 inference(monotonicity,[status(thm)],[1011])).
% 217.66/140.20 tff(1013,plain,
% 217.66/140.20 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 2) | (~v84(constB83, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB83) <=> (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1))))))),
% 217.66/140.20 inference(transitivity,[status(thm)],[1012, 1010])).
% 217.66/140.20 tff(1014,plain,
% 217.66/140.20 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 2) | (~v84(constB83, 1)))))),
% 217.66/140.20 inference(quant_inst,[status(thm)],[])).
% 217.66/140.20 tff(1015,plain,
% 217.66/140.20 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB83) <=> (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1)))))),
% 217.66/140.20 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 217.66/140.20 tff(1016,plain,
% 217.66/140.20 (v115(constB83) <=> (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1))))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1015, 622])).
% 217.66/140.20 tff(1017,plain,
% 217.66/140.20 ((v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1))) | (~v84(constB83, 0))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1018,plain,
% 217.66/140.20 (v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1017, 973])).
% 217.66/140.20 tff(1019,plain,
% 217.66/140.20 ((~(v115(constB83) <=> (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1)))))) | (~v115(constB83)) | (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1))))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1020,plain,
% 217.66/140.20 ((~(v115(constB83) <=> (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1)))))) | (~v115(constB83))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1019, 1018])).
% 217.66/140.20 tff(1021,plain,
% 217.66/140.20 (~v115(constB83)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1020, 1016])).
% 217.66/140.20 tff(1022,plain,
% 217.66/140.20 ((~(v112(constB83) | v115(constB83))) | v112(constB83) | v115(constB83)),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1023,plain,
% 217.66/140.20 ((~(v112(constB83) | v115(constB83))) | v112(constB83)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1022, 1021])).
% 217.66/140.20 tff(1024,plain,
% 217.66/140.20 (~(v112(constB83) | v115(constB83))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1023, 1009])).
% 217.66/140.20 tff(1025,plain,
% 217.66/140.20 ((~(v111(constB83) <=> (v112(constB83) | v115(constB83)))) | (~v111(constB83)) | (v112(constB83) | v115(constB83))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1026,plain,
% 217.66/140.20 (~v111(constB83)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1025, 1024, 989])).
% 217.66/140.20 tff(1027,plain,
% 217.66/140.20 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1))))))),
% 217.66/140.20 inference(rewrite,[status(thm)],[])).
% 217.66/140.20 tff(1028,plain,
% 217.66/140.20 ((v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 1)) | (~v84(constB83, 0))))) <=> (v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1)))))),
% 217.66/140.20 inference(rewrite,[status(thm)],[])).
% 217.66/140.20 tff(1029,plain,
% 217.66/140.20 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 1)) | (~v84(constB83, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1))))))),
% 217.66/140.20 inference(monotonicity,[status(thm)],[1028])).
% 217.66/140.20 tff(1030,plain,
% 217.66/140.20 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 1)) | (~v84(constB83, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1))))))),
% 217.66/140.20 inference(transitivity,[status(thm)],[1029, 1027])).
% 217.66/140.20 tff(1031,plain,
% 217.66/140.20 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 1)) | (~v84(constB83, 0)))))),
% 217.66/140.20 inference(quant_inst,[status(thm)],[])).
% 217.66/140.20 tff(1032,plain,
% 217.66/140.20 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1)))))),
% 217.66/140.20 inference(modus_ponens,[status(thm)],[1031, 1030])).
% 217.66/140.20 tff(1033,plain,
% 217.66/140.20 (v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1))))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1032, 521])).
% 217.66/140.20 tff(1034,plain,
% 217.66/140.20 (~v109(constB82)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[912, 885])).
% 217.66/140.20 tff(1035,plain,
% 217.66/140.20 ((~(v109(constB82) <=> (v110(constB82) | v117(constB82)))) | (~(v110(constB82) | v117(constB82)))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[914, 1034])).
% 217.66/140.20 tff(1036,plain,
% 217.66/140.20 (~(v110(constB82) | v117(constB82))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1035, 798])).
% 217.66/140.20 tff(1037,plain,
% 217.66/140.20 (~v110(constB82)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[916, 1036])).
% 217.66/140.20 tff(1038,plain,
% 217.66/140.20 ((~(v110(constB82) <=> (v111(constB82) | v116(constB82)))) | (~(v111(constB82) | v116(constB82)))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[918, 1037])).
% 217.66/140.20 tff(1039,plain,
% 217.66/140.20 (~(v111(constB82) | v116(constB82))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1038, 267])).
% 217.66/140.20 tff(1040,plain,
% 217.66/140.20 ((v111(constB82) | v116(constB82)) | (~v116(constB82))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1041,plain,
% 217.66/140.20 (~v116(constB82)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1040, 1039])).
% 217.66/140.20 tff(1042,plain,
% 217.66/140.20 ((~(v116(constB82) <=> (~(v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0)))))) | v116(constB82) | (v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0)))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1043,plain,
% 217.66/140.20 (v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1042, 1041, 788])).
% 217.66/140.20 tff(1044,assumption,(v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0))), introduced(assumption)).
% 217.66/140.20 tff(1045,plain,
% 217.66/140.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 1) <=> v84(constB82, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 1) <=> v84(constB82, 1)))),
% 217.66/140.20 inference(rewrite,[status(thm)],[])).
% 217.66/140.20 tff(1046,plain,
% 217.66/140.20 (($false | $false | (v84(constB83, 1) <=> v84(constB82, 1))) <=> (v84(constB83, 1) <=> v84(constB82, 1))),
% 217.66/140.20 inference(rewrite,[status(thm)],[])).
% 217.66/140.20 tff(1047,plain,
% 217.66/140.20 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB83, 1) <=> v84(constB82, 1))) <=> ($false | $false | (v84(constB83, 1) <=> v84(constB82, 1)))),
% 217.66/140.20 inference(monotonicity,[status(thm)],[402, 401])).
% 217.66/140.20 tff(1048,plain,
% 217.66/140.20 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB83, 1) <=> v84(constB82, 1))) <=> (v84(constB83, 1) <=> v84(constB82, 1))),
% 217.66/140.20 inference(transitivity,[status(thm)],[1047, 1046])).
% 217.66/140.20 tff(1049,plain,
% 217.66/140.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB83, 1) <=> v84(constB82, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 1) <=> v84(constB82, 1)))),
% 217.66/140.20 inference(monotonicity,[status(thm)],[1048])).
% 217.66/140.20 tff(1050,plain,
% 217.66/140.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB83, 1) <=> v84(constB82, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 1) <=> v84(constB82, 1)))),
% 217.66/140.20 inference(transitivity,[status(thm)],[1049, 1045])).
% 217.66/140.20 tff(1051,plain,
% 217.66/140.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB83, 1) <=> v84(constB82, 1)))),
% 217.66/140.20 inference(quant_inst,[status(thm)],[])).
% 217.66/140.20 tff(1052,plain,
% 217.66/140.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB83, B) <=> v84(constB82, B)))) | (v84(constB83, 1) <=> v84(constB82, 1))),
% 217.66/140.20 inference(modus_ponens,[status(thm)],[1051, 1050])).
% 217.66/140.20 tff(1053,plain,
% 217.66/140.20 (v84(constB83, 1) <=> v84(constB82, 1)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1052, 858])).
% 217.66/140.20 tff(1054,assumption,(~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1)))), introduced(assumption)).
% 217.66/140.20 tff(1055,plain,
% 217.66/140.20 ((v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1))) | v84(constB83, 1)),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1056,plain,
% 217.66/140.20 (v84(constB83, 1)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1055, 1054])).
% 217.66/140.20 tff(1057,plain,
% 217.66/140.20 ((~(v84(constB83, 1) <=> v84(constB82, 1))) | (~v84(constB83, 1)) | v84(constB82, 1)),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1058,plain,
% 217.66/140.20 ((~(v84(constB83, 1) <=> v84(constB82, 1))) | v84(constB82, 1)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1057, 1056])).
% 217.66/140.20 tff(1059,plain,
% 217.66/140.20 (v84(constB82, 1)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1058, 1053])).
% 217.66/140.20 tff(1060,plain,
% 217.66/140.20 ((v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1))) | (~v84(constB83, 2))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1061,plain,
% 217.66/140.20 (~v84(constB83, 2)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1060, 1054])).
% 217.66/140.20 tff(1062,plain,
% 217.66/140.20 ((~(v84(constB83, 2) <=> v84(constB82, 2))) | (~v84(constB82, 2))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[868, 1061])).
% 217.66/140.20 tff(1063,plain,
% 217.66/140.20 (~v84(constB82, 2)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1062, 867])).
% 217.66/140.20 tff(1064,assumption,(v84(constB82, 0)), introduced(assumption)).
% 217.66/140.20 tff(1065,plain,
% 217.66/140.20 ((~(v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0)))) | v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1066,plain,
% 217.66/140.20 ((~(v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0)))) | v84(constB82, 2) | (~v84(constB82, 1))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1065, 1064])).
% 217.66/140.20 tff(1067,plain,
% 217.66/140.20 ($false),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1066, 1063, 1059, 1044])).
% 217.66/140.20 tff(1068,plain,((v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1))) | (~(v84(constB82, 2) | (~v84(constB82, 1)) | (~v84(constB82, 0)))) | (~v84(constB82, 0))), inference(lemma,lemma(discharge,[]))).
% 217.66/140.20 tff(1069,plain,
% 217.66/140.20 (v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1068, 1043, 970])).
% 217.66/140.20 tff(1070,plain,
% 217.66/140.20 ((~(v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1)))))) | (~v116(constB83)) | (~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1))))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1071,plain,
% 217.66/140.20 (~v116(constB83)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1070, 1069, 1033])).
% 217.66/140.20 tff(1072,plain,
% 217.66/140.20 ((~(v111(constB83) | v116(constB83))) | v111(constB83) | v116(constB83)),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1073,plain,
% 217.66/140.20 (~(v111(constB83) | v116(constB83))),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1072, 1071, 1026])).
% 217.66/140.20 tff(1074,plain,
% 217.66/140.20 ((~(v110(constB83) <=> (v111(constB83) | v116(constB83)))) | (~v110(constB83)) | (v111(constB83) | v116(constB83))),
% 217.66/140.20 inference(tautology,[status(thm)],[])).
% 217.66/140.20 tff(1075,plain,
% 217.66/140.20 (~v110(constB83)),
% 217.66/140.20 inference(unit_resolution,[status(thm)],[1074, 1073, 987])).
% 217.66/140.20 tff(1076,plain,
% 217.66/140.20 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))))))),
% 217.66/140.20 inference(rewrite,[status(thm)],[])).
% 217.66/140.20 tff(1077,plain,
% 217.66/140.20 ((v117(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | (~v84(constB83, 2))))) <=> (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))))),
% 217.66/140.20 inference(rewrite,[status(thm)],[])).
% 217.66/140.20 tff(1078,plain,
% 217.66/140.20 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | (~v84(constB83, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))))))),
% 217.66/140.20 inference(monotonicity,[status(thm)],[1077])).
% 217.66/140.20 tff(1079,plain,
% 217.66/140.20 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | (~v84(constB83, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))))))),
% 217.66/140.21 inference(transitivity,[status(thm)],[1078, 1076])).
% 217.66/140.21 tff(1080,plain,
% 217.66/140.21 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | (~v84(constB83, 2)))))),
% 217.66/140.21 inference(quant_inst,[status(thm)],[])).
% 217.66/140.21 tff(1081,plain,
% 217.66/140.21 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))))),
% 217.66/140.21 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 217.66/140.21 tff(1082,plain,
% 217.66/140.21 (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1081, 656])).
% 217.66/140.21 tff(1083,plain,
% 217.66/140.21 ((v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))) | (~v84(constB83, 0))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1084,plain,
% 217.66/140.21 (v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1083, 973])).
% 217.66/140.21 tff(1085,plain,
% 217.66/140.21 ((~(v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))))) | (~v117(constB83)) | (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1086,plain,
% 217.66/140.21 ((~(v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))))) | (~v117(constB83))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1085, 1084])).
% 217.66/140.21 tff(1087,plain,
% 217.66/140.21 (~v117(constB83)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1086, 1082])).
% 217.66/140.21 tff(1088,plain,
% 217.66/140.21 ((~(v110(constB83) | v117(constB83))) | v110(constB83) | v117(constB83)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1089,plain,
% 217.66/140.21 ((~(v110(constB83) | v117(constB83))) | v110(constB83)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1088, 1087])).
% 217.66/140.21 tff(1090,plain,
% 217.66/140.21 (~(v110(constB83) | v117(constB83))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1089, 1075])).
% 217.66/140.21 tff(1091,plain,
% 217.66/140.21 ((~(v109(constB83) <=> (v110(constB83) | v117(constB83)))) | (~v109(constB83)) | (v110(constB83) | v117(constB83))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1092,plain,
% 217.66/140.21 (~v109(constB83)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1091, 1090, 985])).
% 217.66/140.21 tff(1093,plain,
% 217.66/140.21 ((~(v109(constB83) | v118(constB83))) | v109(constB83) | v118(constB83)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1094,plain,
% 217.66/140.21 (v118(constB83)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1093, 1092, 983])).
% 217.66/140.21 tff(1095,plain,
% 217.66/140.21 ((~(v118(constB83) <=> (~(v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2)))))) | (~v118(constB83)) | (~(v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2))))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1096,plain,
% 217.66/140.21 (~(v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2)))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1095, 1094, 892])).
% 217.66/140.21 tff(1097,plain,
% 217.66/140.21 ((v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2))) | v84(constB83, 2)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1098,plain,
% 217.66/140.21 (v84(constB83, 2)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1097, 1096])).
% 217.66/140.21 tff(1099,plain,
% 217.66/140.21 ((~(v84(constB83, 2) <=> v84(constB82, 2))) | (~v84(constB83, 2)) | v84(constB82, 2)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1100,plain,
% 217.66/140.21 ((~(v84(constB83, 2) <=> v84(constB82, 2))) | v84(constB82, 2)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1099, 1098])).
% 217.66/140.21 tff(1101,plain,
% 217.66/140.21 (v84(constB82, 2)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1100, 867])).
% 217.66/140.21 tff(1102,plain,
% 217.66/140.21 ((v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2))) | (~v84(constB83, 1))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1103,plain,
% 217.66/140.21 (~v84(constB83, 1)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1102, 1096])).
% 217.66/140.21 tff(1104,plain,
% 217.66/140.21 ((~(v84(constB83, 1) <=> v84(constB82, 1))) | v84(constB83, 1) | (~v84(constB82, 1))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1105,plain,
% 217.66/140.21 ((~(v84(constB83, 1) <=> v84(constB82, 1))) | (~v84(constB82, 1))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1104, 1103])).
% 217.66/140.21 tff(1106,plain,
% 217.66/140.21 (~v84(constB82, 1)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1105, 1053])).
% 217.66/140.21 tff(1107,plain,
% 217.66/140.21 ((~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0)))) | v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1108,plain,
% 217.66/140.21 ((~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0)))) | v84(constB82, 1) | (~v84(constB82, 2))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1107, 970])).
% 217.66/140.21 tff(1109,plain,
% 217.66/140.21 ($false),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1108, 1106, 1101, 890])).
% 217.66/140.21 tff(1110,plain,((v108(constB82) | v119(constB82)) | (~(v108(constB83) | v119(constB83))) | (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.66/140.21 tff(1111,plain,
% 217.66/140.21 (v108(constB82) | v119(constB82)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1110, 872, 258])).
% 217.66/140.21 tff(1112,plain,
% 217.66/140.21 ((~(v108(constB82) | v119(constB82))) | v108(constB82) | v119(constB82)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1113,plain,
% 217.66/140.21 (v108(constB82)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1112, 1111, 824])).
% 217.66/140.21 tff(1114,plain,
% 217.66/140.21 ((~(v108(constB82) <=> (v109(constB82) | v118(constB82)))) | (~v108(constB82)) | (v109(constB82) | v118(constB82))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1115,plain,
% 217.66/140.21 ((~(v108(constB82) <=> (v109(constB82) | v118(constB82)))) | (v109(constB82) | v118(constB82))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1114, 1113])).
% 217.66/140.21 tff(1116,plain,
% 217.66/140.21 (v109(constB82) | v118(constB82)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1115, 800])).
% 217.66/140.21 tff(1117,plain,
% 217.66/140.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 1) <=> v84(constB81, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 1) <=> v84(constB81, 1)))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1118,plain,
% 217.66/140.21 (($false | $false | (v84(constB82, 1) <=> v84(constB81, 1))) <=> (v84(constB82, 1) <=> v84(constB81, 1))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1119,plain,
% 217.66/140.21 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB82, 1) <=> v84(constB81, 1))) <=> ($false | $false | (v84(constB82, 1) <=> v84(constB81, 1)))),
% 217.66/140.21 inference(monotonicity,[status(thm)],[402, 401])).
% 217.66/140.21 tff(1120,plain,
% 217.66/140.21 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB82, 1) <=> v84(constB81, 1))) <=> (v84(constB82, 1) <=> v84(constB81, 1))),
% 217.66/140.21 inference(transitivity,[status(thm)],[1119, 1118])).
% 217.66/140.21 tff(1121,plain,
% 217.66/140.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB82, 1) <=> v84(constB81, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 1) <=> v84(constB81, 1)))),
% 217.66/140.21 inference(monotonicity,[status(thm)],[1120])).
% 217.66/140.21 tff(1122,plain,
% 217.66/140.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB82, 1) <=> v84(constB81, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 1) <=> v84(constB81, 1)))),
% 217.66/140.21 inference(transitivity,[status(thm)],[1121, 1117])).
% 217.66/140.21 tff(1123,plain,
% 217.66/140.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB82, 1) <=> v84(constB81, 1)))),
% 217.66/140.21 inference(quant_inst,[status(thm)],[])).
% 217.66/140.21 tff(1124,plain,
% 217.66/140.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | (v84(constB82, 1) <=> v84(constB81, 1))),
% 217.66/140.21 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 217.66/140.21 tff(1125,plain,
% 217.66/140.21 (v84(constB82, 1) <=> v84(constB81, 1)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1124, 740])).
% 217.66/140.21 tff(1126,plain,
% 217.66/140.21 ((~(v84(constB82, 1) <=> v84(constB81, 1))) | v84(constB82, 1) | (~v84(constB81, 1))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1127,plain,
% 217.66/140.21 ((~(v84(constB82, 1) <=> v84(constB81, 1))) | v84(constB82, 1)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1126, 500])).
% 217.66/140.21 tff(1128,plain,
% 217.66/140.21 (v84(constB82, 1)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1127, 1125])).
% 217.66/140.21 tff(1129,plain,
% 217.66/140.21 ((v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0))) | (~v84(constB82, 1))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1130,plain,
% 217.66/140.21 (v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1129, 1128])).
% 217.66/140.21 tff(1131,plain,
% 217.66/140.21 ((~(v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0)))))) | (~v118(constB82)) | (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0))))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1132,plain,
% 217.66/140.21 ((~(v118(constB82) <=> (~(v84(constB82, 1) | (~v84(constB82, 2)) | (~v84(constB82, 0)))))) | (~v118(constB82))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1131, 1130])).
% 217.66/140.21 tff(1133,plain,
% 217.66/140.21 (~v118(constB82)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1132, 879])).
% 217.66/140.21 tff(1134,plain,
% 217.66/140.21 ((~(v109(constB82) | v118(constB82))) | v109(constB82) | v118(constB82)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1135,plain,
% 217.66/140.21 ((~(v109(constB82) | v118(constB82))) | v109(constB82)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1134, 1133])).
% 217.66/140.21 tff(1136,plain,
% 217.66/140.21 (v109(constB82)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1135, 1116])).
% 217.66/140.21 tff(1137,plain,
% 217.66/140.21 ((~(v109(constB82) <=> (v110(constB82) | v117(constB82)))) | (~v109(constB82)) | (v110(constB82) | v117(constB82))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1138,plain,
% 217.66/140.21 (v110(constB82) | v117(constB82)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1137, 1136, 798])).
% 217.66/140.21 tff(1139,plain,
% 217.66/140.21 ((v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))) | (~v84(constB82, 1))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1140,plain,
% 217.66/140.21 (v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1139, 1128])).
% 217.66/140.21 tff(1141,plain,
% 217.66/140.21 ((~(v117(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2)))))) | (~v117(constB82)) | (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2))))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1142,plain,
% 217.66/140.21 ((~(v117(constB82) <=> (~(v84(constB82, 1) | v84(constB82, 0) | (~v84(constB82, 2)))))) | (~v117(constB82))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1141, 1140])).
% 217.66/140.21 tff(1143,plain,
% 217.66/140.21 (~v117(constB82)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1142, 936])).
% 217.66/140.21 tff(1144,plain,
% 217.66/140.21 ((~(v110(constB82) | v117(constB82))) | v110(constB82) | v117(constB82)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1145,plain,
% 217.66/140.21 ((~(v110(constB82) | v117(constB82))) | v110(constB82)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1144, 1143])).
% 217.66/140.21 tff(1146,plain,
% 217.66/140.21 (v110(constB82)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1145, 1138])).
% 217.66/140.21 tff(1147,plain,
% 217.66/140.21 ((~(v110(constB82) <=> (v111(constB82) | v116(constB82)))) | (~v110(constB82)) | (v111(constB82) | v116(constB82))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1148,plain,
% 217.66/140.21 ($false),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1147, 1146, 796, 267])).
% 217.66/140.21 tff(1149,plain,((v108(constB79) | v119(constB79)) | (~(v108(constB83) | v119(constB83))) | (~v84(constB79, 0))), inference(lemma,lemma(discharge,[]))).
% 217.66/140.21 tff(1150,plain,
% 217.66/140.21 (~v84(constB79, 0)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1149, 194, 258])).
% 217.66/140.21 tff(1151,plain,
% 217.66/140.21 ((~(v84(constB80, 0) <=> v84(constB79, 0))) | (~v84(constB80, 0)) | v84(constB79, 0)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1152,plain,
% 217.66/140.21 ((~(v84(constB80, 0) <=> v84(constB79, 0))) | (~v84(constB80, 0))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1151, 1150])).
% 217.66/140.21 tff(1153,plain,
% 217.66/140.21 (~v84(constB80, 0)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1152, 257])).
% 217.66/140.21 tff(1154,plain,
% 217.66/140.21 ((~(v84(constB81, 0) <=> v84(constB80, 0))) | (~v84(constB81, 0)) | v84(constB80, 0)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1155,plain,
% 217.66/140.21 ((~v84(constB81, 0)) | v84(constB80, 0)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1154, 373])).
% 217.66/140.21 tff(1156,plain,
% 217.66/140.21 (~v84(constB81, 0)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1155, 1153])).
% 217.66/140.21 tff(1157,plain,
% 217.66/140.21 ((v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))) | v84(constB81, 0)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1158,plain,
% 217.66/140.21 (v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1157, 1156])).
% 217.66/140.21 tff(1159,assumption,(~(v84(constB79, 0) <=> v84(constB78, 0))), introduced(assumption)).
% 217.66/140.21 tff(1160,plain,
% 217.66/140.21 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1161,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78')).
% 217.66/140.21 tff(1162,plain,
% 217.66/140.21 (nextState(constB78, constB79)),
% 217.66/140.21 inference(modus_ponens,[status(thm)],[1161, 1160])).
% 217.66/140.21 tff(1163,plain,
% 217.66/140.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79))))))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1164,plain,
% 217.66/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79))))))),
% 217.66/140.21 inference(quant_inst,[status(thm)],[])).
% 217.66/140.21 tff(1165,plain,
% 217.66/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79)))))),
% 217.66/140.21 inference(modus_ponens,[status(thm)],[1164, 1163])).
% 217.66/140.21 tff(1166,plain,
% 217.66/140.21 (v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79))))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1165, 1162, 14])).
% 217.66/140.21 tff(1167,plain,
% 217.66/140.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1168,plain,
% 217.66/140.21 (((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79)))))) <=> ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1169,plain,
% 217.66/140.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))))),
% 217.66/140.21 inference(monotonicity,[status(thm)],[1168])).
% 217.66/140.21 tff(1170,plain,
% 217.66/140.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))),
% 217.66/140.21 inference(transitivity,[status(thm)],[1169, 1167])).
% 217.66/140.21 tff(1171,plain,
% 217.66/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79))))))),
% 217.66/140.21 inference(quant_inst,[status(thm)],[])).
% 217.66/140.21 tff(1172,plain,
% 217.66/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))),
% 217.66/140.21 inference(modus_ponens,[status(thm)],[1171, 1170])).
% 217.66/140.21 tff(1173,plain,
% 217.66/140.21 (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1172, 1162, 37])).
% 217.66/140.21 tff(1174,plain,
% 217.66/140.21 (((~v1(constB79)) | (~v96(constB79))) | v1(constB79)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1175,plain,
% 217.66/140.21 ((~v1(constB79)) | (~v96(constB79))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1174, 75])).
% 217.66/140.21 tff(1176,plain,
% 217.66/140.21 ((~(v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))) | (~v95(constB79)) | (~((~v1(constB79)) | (~v96(constB79))))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1177,plain,
% 217.66/140.21 ((~(v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))) | (~v95(constB79))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1176, 1175])).
% 217.66/140.21 tff(1178,plain,
% 217.66/140.21 (~v95(constB79)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1177, 1173])).
% 217.66/140.21 tff(1179,plain,
% 217.66/140.21 (((~v95(constB79)) | (~v104(constB79))) | v95(constB79)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1180,plain,
% 217.66/140.21 ((~v95(constB79)) | (~v104(constB79))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1179, 1178])).
% 217.66/140.21 tff(1181,plain,
% 217.66/140.21 ((~(v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79)))))) | (~v94(constB79)) | (~((~v95(constB79)) | (~v104(constB79))))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1182,plain,
% 217.66/140.21 (~v94(constB79)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1181, 1180, 1166])).
% 217.66/140.21 tff(1183,plain,
% 217.66/140.21 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB79) | (~nextState(constB78, constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB79) | (~nextState(constB78, constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B))))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1184,plain,
% 217.66/140.21 ((v94(constB79) | (~nextState(constB78, constB79)) | ![B: $int] : ((v84(constB79, B) <=> v84(constB78, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB79) | (~nextState(constB78, constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B))))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1185,plain,
% 217.66/140.21 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB79) | (~nextState(constB78, constB79)) | ![B: $int] : ((v84(constB79, B) <=> v84(constB78, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB79) | (~nextState(constB78, constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))))),
% 217.66/140.21 inference(monotonicity,[status(thm)],[1184])).
% 217.66/140.21 tff(1186,plain,
% 217.66/140.21 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB79) | (~nextState(constB78, constB79)) | ![B: $int] : ((v84(constB79, B) <=> v84(constB78, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB79) | (~nextState(constB78, constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B))))),
% 217.66/140.21 inference(transitivity,[status(thm)],[1185, 1183])).
% 217.66/140.21 tff(1187,plain,
% 217.66/140.21 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB79) | (~nextState(constB78, constB79)) | ![B: $int] : ((v84(constB79, B) <=> v84(constB78, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.66/140.21 inference(quant_inst,[status(thm)],[])).
% 217.66/140.21 tff(1188,plain,
% 217.66/140.21 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB79) | (~nextState(constB78, constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))),
% 217.66/140.21 inference(modus_ponens,[status(thm)],[1187, 1186])).
% 217.66/140.21 tff(1189,plain,
% 217.66/140.21 (v94(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1188, 1162, 235])).
% 217.66/140.21 tff(1190,plain,
% 217.66/140.21 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1189, 1182])).
% 217.66/140.21 tff(1191,plain,
% 217.66/140.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 0) <=> v84(constB78, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 0) <=> v84(constB78, 0)))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1192,plain,
% 217.66/140.21 (($false | $false | (v84(constB79, 0) <=> v84(constB78, 0))) <=> (v84(constB79, 0) <=> v84(constB78, 0))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1193,plain,
% 217.66/140.21 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB79, 0) <=> v84(constB78, 0))) <=> ($false | $false | (v84(constB79, 0) <=> v84(constB78, 0)))),
% 217.66/140.21 inference(monotonicity,[status(thm)],[250, 249])).
% 217.66/140.21 tff(1194,plain,
% 217.66/140.21 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB79, 0) <=> v84(constB78, 0))) <=> (v84(constB79, 0) <=> v84(constB78, 0))),
% 217.66/140.21 inference(transitivity,[status(thm)],[1193, 1192])).
% 217.66/140.21 tff(1195,plain,
% 217.66/140.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB79, 0) <=> v84(constB78, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 0) <=> v84(constB78, 0)))),
% 217.66/140.21 inference(monotonicity,[status(thm)],[1194])).
% 217.66/140.21 tff(1196,plain,
% 217.66/140.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB79, 0) <=> v84(constB78, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 0) <=> v84(constB78, 0)))),
% 217.66/140.21 inference(transitivity,[status(thm)],[1195, 1191])).
% 217.66/140.21 tff(1197,plain,
% 217.66/140.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB79, 0) <=> v84(constB78, 0)))),
% 217.66/140.21 inference(quant_inst,[status(thm)],[])).
% 217.66/140.21 tff(1198,plain,
% 217.66/140.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 0) <=> v84(constB78, 0))),
% 217.66/140.21 inference(modus_ponens,[status(thm)],[1197, 1196])).
% 217.66/140.21 tff(1199,plain,
% 217.66/140.21 ($false),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1198, 1190, 1159])).
% 217.66/140.21 tff(1200,plain,(v84(constB79, 0) <=> v84(constB78, 0)), inference(lemma,lemma(discharge,[]))).
% 217.66/140.21 tff(1201,plain,
% 217.66/140.21 ((~(v84(constB79, 0) <=> v84(constB78, 0))) | v84(constB79, 0) | (~v84(constB78, 0))),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1202,plain,
% 217.66/140.21 (v84(constB79, 0) | (~v84(constB78, 0))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1201, 1200])).
% 217.66/140.21 tff(1203,plain,
% 217.66/140.21 (~v84(constB78, 0)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1202, 1150])).
% 217.66/140.21 tff(1204,assumption,(~v84(constB78, 0)), introduced(assumption)).
% 217.66/140.21 tff(1205,assumption,(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))), introduced(assumption)).
% 217.66/140.21 tff(1206,assumption,(~v84(constB81, 0)), introduced(assumption)).
% 217.66/140.21 tff(1207,plain,
% 217.66/140.21 ((v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))) | v84(constB81, 0)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1208,plain,
% 217.66/140.21 (v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1207, 1206])).
% 217.66/140.21 tff(1209,plain,
% 217.66/140.21 ((v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))) | v84(constB81, 0)),
% 217.66/140.21 inference(tautology,[status(thm)],[])).
% 217.66/140.21 tff(1210,plain,
% 217.66/140.21 (v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1209, 1206])).
% 217.66/140.21 tff(1211,assumption,(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))), introduced(assumption)).
% 217.66/140.21 tff(1212,plain,
% 217.66/140.21 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))))))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1213,plain,
% 217.66/140.21 ((v117(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 1) | (~v84(constB79, 2))))) <=> (v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1214,plain,
% 217.66/140.21 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 1) | (~v84(constB79, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))))))),
% 217.66/140.21 inference(monotonicity,[status(thm)],[1213])).
% 217.66/140.21 tff(1215,plain,
% 217.66/140.21 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 1) | (~v84(constB79, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))))))),
% 217.66/140.21 inference(transitivity,[status(thm)],[1214, 1212])).
% 217.66/140.21 tff(1216,plain,
% 217.66/140.21 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 1) | (~v84(constB79, 2)))))),
% 217.66/140.21 inference(quant_inst,[status(thm)],[])).
% 217.66/140.21 tff(1217,plain,
% 217.66/140.21 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))))),
% 217.66/140.21 inference(modus_ponens,[status(thm)],[1216, 1215])).
% 217.66/140.21 tff(1218,plain,
% 217.66/140.21 (v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))))),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1217, 656])).
% 217.66/140.21 tff(1219,plain,
% 217.66/140.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 2) <=> v84(constB78, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 2) <=> v84(constB78, 2)))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1220,plain,
% 217.66/140.21 (($false | $false | (v84(constB79, 2) <=> v84(constB78, 2))) <=> (v84(constB79, 2) <=> v84(constB78, 2))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1221,plain,
% 217.66/140.21 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB79, 2) <=> v84(constB78, 2))) <=> ($false | $false | (v84(constB79, 2) <=> v84(constB78, 2)))),
% 217.66/140.21 inference(monotonicity,[status(thm)],[534, 533])).
% 217.66/140.21 tff(1222,plain,
% 217.66/140.21 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB79, 2) <=> v84(constB78, 2))) <=> (v84(constB79, 2) <=> v84(constB78, 2))),
% 217.66/140.21 inference(transitivity,[status(thm)],[1221, 1220])).
% 217.66/140.21 tff(1223,plain,
% 217.66/140.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB79, 2) <=> v84(constB78, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 2) <=> v84(constB78, 2)))),
% 217.66/140.21 inference(monotonicity,[status(thm)],[1222])).
% 217.66/140.21 tff(1224,plain,
% 217.66/140.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB79, 2) <=> v84(constB78, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 2) <=> v84(constB78, 2)))),
% 217.66/140.21 inference(transitivity,[status(thm)],[1223, 1219])).
% 217.66/140.21 tff(1225,plain,
% 217.66/140.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB79, 2) <=> v84(constB78, 2)))),
% 217.66/140.21 inference(quant_inst,[status(thm)],[])).
% 217.66/140.21 tff(1226,plain,
% 217.66/140.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 2) <=> v84(constB78, 2))),
% 217.66/140.21 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 217.66/140.21 tff(1227,plain,
% 217.66/140.21 (v84(constB79, 2) <=> v84(constB78, 2)),
% 217.66/140.21 inference(unit_resolution,[status(thm)],[1226, 1190])).
% 217.66/140.21 tff(1228,plain,
% 217.66/140.21 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB77) <=> (~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB77) <=> (~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0)))))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1229,plain,
% 217.66/140.21 ((v119(constB77) <=> (~(v84(constB77, 0) | (~v84(constB77, 1)) | (~v84(constB77, 2))))) <=> (v119(constB77) <=> (~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0))))),
% 217.66/140.21 inference(rewrite,[status(thm)],[])).
% 217.66/140.21 tff(1230,plain,
% 217.66/140.21 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB77) <=> (~(v84(constB77, 0) | (~v84(constB77, 1)) | (~v84(constB77, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB77) <=> (~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0)))))),
% 217.67/140.21 inference(monotonicity,[status(thm)],[1229])).
% 217.67/140.21 tff(1231,plain,
% 217.67/140.21 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB77) <=> (~(v84(constB77, 0) | (~v84(constB77, 1)) | (~v84(constB77, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB77) <=> (~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0)))))),
% 217.67/140.21 inference(transitivity,[status(thm)],[1230, 1228])).
% 217.67/140.21 tff(1232,plain,
% 217.67/140.21 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB77) <=> (~(v84(constB77, 0) | (~v84(constB77, 1)) | (~v84(constB77, 2)))))),
% 217.67/140.21 inference(quant_inst,[status(thm)],[])).
% 217.67/140.21 tff(1233,plain,
% 217.67/140.21 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB77) <=> (~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0))))),
% 217.67/140.21 inference(modus_ponens,[status(thm)],[1232, 1231])).
% 217.67/140.21 tff(1234,plain,
% 217.67/140.21 (v119(constB77) <=> (~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0)))),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1233, 318])).
% 217.67/140.21 tff(1235,plain,
% 217.67/140.21 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB77) <=> (v108(constB77) | v119(constB77)))),
% 217.67/140.21 inference(quant_inst,[status(thm)],[])).
% 217.67/140.21 tff(1236,plain,
% 217.67/140.21 (v107(constB77) <=> (v108(constB77) | v119(constB77))),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1235, 187])).
% 217.67/140.21 tff(1237,assumption,(~v94(constB78)), introduced(assumption)).
% 217.67/140.21 tff(1238,plain,
% 217.67/140.21 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 217.67/140.21 inference(rewrite,[status(thm)],[])).
% 217.67/140.21 tff(1239,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77')).
% 217.67/140.21 tff(1240,plain,
% 217.67/140.21 (nextState(constB77, constB78)),
% 217.67/140.21 inference(modus_ponens,[status(thm)],[1239, 1238])).
% 217.67/140.21 tff(1241,plain,
% 217.67/140.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78))))))),
% 217.67/140.21 inference(rewrite,[status(thm)],[])).
% 217.67/140.21 tff(1242,plain,
% 217.67/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78))))))),
% 217.67/140.21 inference(quant_inst,[status(thm)],[])).
% 217.67/140.21 tff(1243,plain,
% 217.67/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78)))))),
% 217.67/140.21 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 217.67/140.21 tff(1244,plain,
% 217.67/140.21 (v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78))))),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1243, 1240, 14])).
% 217.67/140.21 tff(1245,plain,
% 217.67/140.21 ((~(v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78)))))) | v94(constB78) | ((~v95(constB78)) | (~v104(constB78)))),
% 217.67/140.21 inference(tautology,[status(thm)],[])).
% 217.67/140.21 tff(1246,plain,
% 217.67/140.21 (v94(constB78) | ((~v95(constB78)) | (~v104(constB78)))),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1245, 1244])).
% 217.67/140.21 tff(1247,plain,
% 217.67/140.21 ((~v95(constB78)) | (~v104(constB78))),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1246, 1237])).
% 217.67/140.21 tff(1248,plain,
% 217.67/140.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))),
% 217.67/140.21 inference(rewrite,[status(thm)],[])).
% 217.67/140.21 tff(1249,plain,
% 217.67/140.21 (((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78)))))) <=> ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))),
% 217.67/140.21 inference(rewrite,[status(thm)],[])).
% 217.67/140.21 tff(1250,plain,
% 217.67/140.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78)))))))),
% 217.67/140.21 inference(monotonicity,[status(thm)],[1249])).
% 217.67/140.21 tff(1251,plain,
% 217.67/140.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))),
% 217.67/140.21 inference(transitivity,[status(thm)],[1250, 1248])).
% 217.67/140.21 tff(1252,plain,
% 217.67/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78))))))),
% 217.67/140.21 inference(quant_inst,[status(thm)],[])).
% 217.67/140.21 tff(1253,plain,
% 217.67/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78)))))),
% 217.67/140.21 inference(modus_ponens,[status(thm)],[1252, 1251])).
% 217.67/140.21 tff(1254,plain,
% 217.67/140.21 (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1253, 1240, 37])).
% 217.67/140.21 tff(1255,plain,
% 217.67/140.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78)))),
% 217.67/140.21 inference(rewrite,[status(thm)],[])).
% 217.67/140.21 tff(1256,plain,
% 217.67/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78)))),
% 217.67/140.21 inference(quant_inst,[status(thm)],[])).
% 217.67/140.21 tff(1257,plain,
% 217.67/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78))),
% 217.67/140.21 inference(modus_ponens,[status(thm)],[1256, 1255])).
% 217.67/140.21 tff(1258,plain,
% 217.67/140.21 ((~v96(constB78)) <=> v98(constB78)),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1257, 1240, 54])).
% 217.67/140.21 tff(1259,plain,
% 217.67/140.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77)))),
% 217.67/140.21 inference(rewrite,[status(thm)],[])).
% 217.67/140.21 tff(1260,plain,
% 217.67/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77)))),
% 217.67/140.21 inference(quant_inst,[status(thm)],[])).
% 217.67/140.21 tff(1261,plain,
% 217.67/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77))),
% 217.67/140.21 inference(modus_ponens,[status(thm)],[1260, 1259])).
% 217.67/140.21 tff(1262,plain,
% 217.67/140.21 (v98(constB78) <=> v1(constB77)),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1261, 1240, 68])).
% 217.67/140.21 tff(1263,plain,
% 217.67/140.21 ((~v1(constB77)) <=> (~v1(constB77))),
% 217.67/140.21 inference(rewrite,[status(thm)],[])).
% 217.67/140.21 tff(1264,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77')).
% 217.67/140.21 tff(1265,plain,
% 217.67/140.21 (~v1(constB77)),
% 217.67/140.21 inference(modus_ponens,[status(thm)],[1264, 1263])).
% 217.67/140.21 tff(1266,plain,
% 217.67/140.21 ((~(v98(constB78) <=> v1(constB77))) | (~v98(constB78)) | v1(constB77)),
% 217.67/140.21 inference(tautology,[status(thm)],[])).
% 217.67/140.21 tff(1267,plain,
% 217.67/140.21 ((~(v98(constB78) <=> v1(constB77))) | (~v98(constB78))),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1266, 1265])).
% 217.67/140.21 tff(1268,plain,
% 217.67/140.21 (~v98(constB78)),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1267, 1262])).
% 217.67/140.21 tff(1269,plain,
% 217.67/140.21 ((~((~v96(constB78)) <=> v98(constB78))) | v96(constB78) | v98(constB78)),
% 217.67/140.21 inference(tautology,[status(thm)],[])).
% 217.67/140.21 tff(1270,plain,
% 217.67/140.21 (v96(constB78)),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1269, 1268, 1258])).
% 217.67/140.21 tff(1271,plain,
% 217.67/140.21 (v1(constB78) <=> v1(constB78)),
% 217.67/140.21 inference(rewrite,[status(thm)],[])).
% 217.67/140.21 tff(1272,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78')).
% 217.67/140.21 tff(1273,plain,
% 217.67/140.21 (v1(constB78)),
% 217.67/140.21 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 217.67/140.21 tff(1274,plain,
% 217.67/140.21 ((~((~v1(constB78)) | (~v96(constB78)))) | (~v1(constB78)) | (~v96(constB78))),
% 217.67/140.21 inference(tautology,[status(thm)],[])).
% 217.67/140.21 tff(1275,plain,
% 217.67/140.21 ((~((~v1(constB78)) | (~v96(constB78)))) | (~v96(constB78))),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1274, 1273])).
% 217.67/140.21 tff(1276,plain,
% 217.67/140.21 (~((~v1(constB78)) | (~v96(constB78)))),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1275, 1270])).
% 217.67/140.21 tff(1277,plain,
% 217.67/140.21 ((~(v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78)))))) | v95(constB78) | ((~v1(constB78)) | (~v96(constB78)))),
% 217.67/140.21 inference(tautology,[status(thm)],[])).
% 217.67/140.21 tff(1278,plain,
% 217.67/140.21 (v95(constB78)),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1277, 1276, 1254])).
% 217.67/140.21 tff(1279,plain,
% 217.67/140.21 ((~((~v95(constB78)) | (~v104(constB78)))) | (~v95(constB78)) | (~v104(constB78))),
% 217.67/140.21 inference(tautology,[status(thm)],[])).
% 217.67/140.21 tff(1280,plain,
% 217.67/140.21 ((~((~v95(constB78)) | (~v104(constB78)))) | (~v104(constB78))),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1279, 1278])).
% 217.67/140.21 tff(1281,plain,
% 217.67/140.21 (~v104(constB78)),
% 217.67/140.21 inference(unit_resolution,[status(thm)],[1280, 1247])).
% 217.67/140.21 tff(1282,plain,
% 217.67/140.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77)))),
% 217.67/140.21 inference(rewrite,[status(thm)],[])).
% 217.67/140.21 tff(1283,plain,
% 217.67/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77)))),
% 217.67/140.21 inference(quant_inst,[status(thm)],[])).
% 217.67/140.21 tff(1284,plain,
% 217.67/140.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77))),
% 217.67/140.21 inference(modus_ponens,[status(thm)],[1283, 1282])).
% 217.67/140.21 tff(1285,plain,
% 217.67/140.22 (v104(constB78) <=> v102(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1284, 1240, 101])).
% 217.67/140.22 tff(1286,plain,
% 217.67/140.22 ((~(v104(constB78) <=> v102(constB77))) | v104(constB78) | (~v102(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1287,plain,
% 217.67/140.22 (v104(constB78) | (~v102(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1286, 1285])).
% 217.67/140.22 tff(1288,plain,
% 217.67/140.22 (~v102(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1287, 1281])).
% 217.67/140.22 tff(1289,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB77) <=> (v105(constB77) | v106(constB77)))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1290,plain,
% 217.67/140.22 (v102(constB77) <=> (v105(constB77) | v106(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1289, 115])).
% 217.67/140.22 tff(1291,plain,
% 217.67/140.22 ((~(v102(constB77) <=> (v105(constB77) | v106(constB77)))) | v102(constB77) | (~(v105(constB77) | v106(constB77)))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1292,plain,
% 217.67/140.22 (v102(constB77) | (~(v105(constB77) | v106(constB77)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1291, 1290])).
% 217.67/140.22 tff(1293,plain,
% 217.67/140.22 (~(v105(constB77) | v106(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1292, 1288])).
% 217.67/140.22 tff(1294,plain,
% 217.67/140.22 ((v105(constB77) | v106(constB77)) | (~v106(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1295,plain,
% 217.67/140.22 (~v106(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1294, 1293])).
% 217.67/140.22 tff(1296,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB77) <=> (~((~v107(constB77)) | (~v120(constB77)))))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1297,plain,
% 217.67/140.22 (v106(constB77) <=> (~((~v107(constB77)) | (~v120(constB77))))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1296, 132])).
% 217.67/140.22 tff(1298,plain,
% 217.67/140.22 ((~(v106(constB77) <=> (~((~v107(constB77)) | (~v120(constB77)))))) | v106(constB77) | ((~v107(constB77)) | (~v120(constB77)))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1299,plain,
% 217.67/140.22 (v106(constB77) | ((~v107(constB77)) | (~v120(constB77)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1298, 1297])).
% 217.67/140.22 tff(1300,plain,
% 217.67/140.22 ((~v107(constB77)) | (~v120(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1299, 1295])).
% 217.67/140.22 tff(1301,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB77)) <=> v105(constB77))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1302,plain,
% 217.67/140.22 ((~v120(constB77)) <=> v105(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1301, 144])).
% 217.67/140.22 tff(1303,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB77) <=> v26(constB77))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1304,plain,
% 217.67/140.22 (v105(constB77) <=> v26(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1303, 156])).
% 217.67/140.22 tff(1305,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1306,plain,
% 217.67/140.22 (~v26(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1305, 168])).
% 217.67/140.22 tff(1307,plain,
% 217.67/140.22 ((~(v105(constB77) <=> v26(constB77))) | (~v105(constB77)) | v26(constB77)),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1308,plain,
% 217.67/140.22 ((~(v105(constB77) <=> v26(constB77))) | (~v105(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1307, 1306])).
% 217.67/140.22 tff(1309,plain,
% 217.67/140.22 (~v105(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1308, 1304])).
% 217.67/140.22 tff(1310,plain,
% 217.67/140.22 ((~((~v120(constB77)) <=> v105(constB77))) | v120(constB77) | v105(constB77)),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1311,plain,
% 217.67/140.22 ((~((~v120(constB77)) <=> v105(constB77))) | v120(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1310, 1309])).
% 217.67/140.22 tff(1312,plain,
% 217.67/140.22 (v120(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1311, 1302])).
% 217.67/140.22 tff(1313,plain,
% 217.67/140.22 ((~((~v107(constB77)) | (~v120(constB77)))) | (~v107(constB77)) | (~v120(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1314,plain,
% 217.67/140.22 ((~((~v107(constB77)) | (~v120(constB77)))) | (~v107(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1313, 1312])).
% 217.67/140.22 tff(1315,plain,
% 217.67/140.22 (~v107(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1314, 1300])).
% 217.67/140.22 tff(1316,plain,
% 217.67/140.22 ((~(v107(constB77) <=> (v108(constB77) | v119(constB77)))) | v107(constB77) | (~(v108(constB77) | v119(constB77)))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1317,plain,
% 217.67/140.22 ((~(v107(constB77) <=> (v108(constB77) | v119(constB77)))) | (~(v108(constB77) | v119(constB77)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1316, 1315])).
% 217.67/140.22 tff(1318,plain,
% 217.67/140.22 (~(v108(constB77) | v119(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1317, 1236])).
% 217.67/140.22 tff(1319,plain,
% 217.67/140.22 ((v108(constB77) | v119(constB77)) | (~v119(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1320,plain,
% 217.67/140.22 (~v119(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1319, 1318])).
% 217.67/140.22 tff(1321,plain,
% 217.67/140.22 ((~(v119(constB77) <=> (~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0))))) | v119(constB77) | ((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1322,plain,
% 217.67/140.22 ((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1321, 1320, 1234])).
% 217.67/140.22 tff(1323,plain,
% 217.67/140.22 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1324,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76')).
% 217.67/140.22 tff(1325,plain,
% 217.67/140.22 (nextState(constB76, constB77)),
% 217.67/140.22 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 217.67/140.22 tff(1326,plain,
% 217.67/140.22 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77))))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1327,plain,
% 217.67/140.22 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77))))))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1328,plain,
% 217.67/140.22 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77)))))),
% 217.67/140.22 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 217.67/140.22 tff(1329,plain,
% 217.67/140.22 (v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77))))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1328, 1325, 14])).
% 217.67/140.22 tff(1330,plain,
% 217.67/140.22 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1331,plain,
% 217.67/140.22 (((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77)))))) <=> ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1332,plain,
% 217.67/140.22 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))))),
% 217.67/140.22 inference(monotonicity,[status(thm)],[1331])).
% 217.67/140.22 tff(1333,plain,
% 217.67/140.22 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))),
% 217.67/140.22 inference(transitivity,[status(thm)],[1332, 1330])).
% 217.67/140.22 tff(1334,plain,
% 217.67/140.22 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77))))))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1335,plain,
% 217.67/140.22 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))),
% 217.67/140.22 inference(modus_ponens,[status(thm)],[1334, 1333])).
% 217.67/140.22 tff(1336,plain,
% 217.67/140.22 (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1335, 1325, 37])).
% 217.67/140.22 tff(1337,plain,
% 217.67/140.22 (((~v1(constB77)) | (~v96(constB77))) | v1(constB77)),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1338,plain,
% 217.67/140.22 ((~v1(constB77)) | (~v96(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1337, 1265])).
% 217.67/140.22 tff(1339,plain,
% 217.67/140.22 ((~(v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))) | (~v95(constB77)) | (~((~v1(constB77)) | (~v96(constB77))))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1340,plain,
% 217.67/140.22 ((~(v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))) | (~v95(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1339, 1338])).
% 217.67/140.22 tff(1341,plain,
% 217.67/140.22 (~v95(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1340, 1336])).
% 217.67/140.22 tff(1342,plain,
% 217.67/140.22 (((~v95(constB77)) | (~v104(constB77))) | v95(constB77)),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1343,plain,
% 217.67/140.22 ((~v95(constB77)) | (~v104(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1342, 1341])).
% 217.67/140.22 tff(1344,plain,
% 217.67/140.22 ((~(v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77)))))) | (~v94(constB77)) | (~((~v95(constB77)) | (~v104(constB77))))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1345,plain,
% 217.67/140.22 (~v94(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1344, 1343, 1329])).
% 217.67/140.22 tff(1346,plain,
% 217.67/140.22 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB77) | (~nextState(constB76, constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB77) | (~nextState(constB76, constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1347,plain,
% 217.67/140.22 ((v94(constB77) | (~nextState(constB76, constB77)) | ![B: $int] : ((v84(constB77, B) <=> v84(constB76, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB77) | (~nextState(constB76, constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1348,plain,
% 217.67/140.22 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB77) | (~nextState(constB76, constB77)) | ![B: $int] : ((v84(constB77, B) <=> v84(constB76, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB77) | (~nextState(constB76, constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))))),
% 217.67/140.22 inference(monotonicity,[status(thm)],[1347])).
% 217.67/140.22 tff(1349,plain,
% 217.67/140.22 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB77) | (~nextState(constB76, constB77)) | ![B: $int] : ((v84(constB77, B) <=> v84(constB76, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB77) | (~nextState(constB76, constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B))))),
% 217.67/140.22 inference(transitivity,[status(thm)],[1348, 1346])).
% 217.67/140.22 tff(1350,plain,
% 217.67/140.22 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB77) | (~nextState(constB76, constB77)) | ![B: $int] : ((v84(constB77, B) <=> v84(constB76, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1351,plain,
% 217.67/140.22 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB77) | (~nextState(constB76, constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))),
% 217.67/140.22 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 217.67/140.22 tff(1352,plain,
% 217.67/140.22 (v94(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1351, 1325, 235])).
% 217.67/140.22 tff(1353,plain,
% 217.67/140.22 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1352, 1345])).
% 217.67/140.22 tff(1354,plain,
% 217.67/140.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 2) <=> v84(constB76, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 2) <=> v84(constB76, 2)))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1355,plain,
% 217.67/140.22 (($false | $false | (v84(constB77, 2) <=> v84(constB76, 2))) <=> (v84(constB77, 2) <=> v84(constB76, 2))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1356,plain,
% 217.67/140.22 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB77, 2) <=> v84(constB76, 2))) <=> ($false | $false | (v84(constB77, 2) <=> v84(constB76, 2)))),
% 217.67/140.22 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.22 tff(1357,plain,
% 217.67/140.22 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB77, 2) <=> v84(constB76, 2))) <=> (v84(constB77, 2) <=> v84(constB76, 2))),
% 217.67/140.22 inference(transitivity,[status(thm)],[1356, 1355])).
% 217.67/140.22 tff(1358,plain,
% 217.67/140.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB77, 2) <=> v84(constB76, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 2) <=> v84(constB76, 2)))),
% 217.67/140.22 inference(monotonicity,[status(thm)],[1357])).
% 217.67/140.22 tff(1359,plain,
% 217.67/140.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB77, 2) <=> v84(constB76, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 2) <=> v84(constB76, 2)))),
% 217.67/140.22 inference(transitivity,[status(thm)],[1358, 1354])).
% 217.67/140.22 tff(1360,plain,
% 217.67/140.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB77, 2) <=> v84(constB76, 2)))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1361,plain,
% 217.67/140.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 2) <=> v84(constB76, 2))),
% 217.67/140.22 inference(modus_ponens,[status(thm)],[1360, 1359])).
% 217.67/140.22 tff(1362,plain,
% 217.67/140.22 (v84(constB77, 2) <=> v84(constB76, 2)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1361, 1353])).
% 217.67/140.22 tff(1363,plain,
% 217.67/140.22 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB78) | (~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB78) | (~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1364,plain,
% 217.67/140.22 ((v94(constB78) | (~nextState(constB77, constB78)) | ![B: $int] : ((v84(constB78, B) <=> v84(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB78) | (~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1365,plain,
% 217.67/140.22 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB78) | (~nextState(constB77, constB78)) | ![B: $int] : ((v84(constB78, B) <=> v84(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB78) | (~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))))),
% 217.67/140.22 inference(monotonicity,[status(thm)],[1364])).
% 217.67/140.22 tff(1366,plain,
% 217.67/140.22 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB78) | (~nextState(constB77, constB78)) | ![B: $int] : ((v84(constB78, B) <=> v84(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB78) | (~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B))))),
% 217.67/140.22 inference(transitivity,[status(thm)],[1365, 1363])).
% 217.67/140.22 tff(1367,plain,
% 217.67/140.22 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB78) | (~nextState(constB77, constB78)) | ![B: $int] : ((v84(constB78, B) <=> v84(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1368,plain,
% 217.67/140.22 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB78) | (~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))),
% 217.67/140.22 inference(modus_ponens,[status(thm)],[1367, 1366])).
% 217.67/140.22 tff(1369,plain,
% 217.67/140.22 (v94(constB78) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1368, 1240, 235])).
% 217.67/140.22 tff(1370,plain,
% 217.67/140.22 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1369, 1237])).
% 217.67/140.22 tff(1371,assumption,(v84(constB77, 0)), introduced(assumption)).
% 217.67/140.22 tff(1372,plain,
% 217.67/140.22 ((~(v84(constB78, 0) <=> v84(constB77, 0))) | v84(constB78, 0) | (~v84(constB77, 0))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1373,plain,
% 217.67/140.22 (~(v84(constB78, 0) <=> v84(constB77, 0))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1372, 1204, 1371])).
% 217.67/140.22 tff(1374,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))), introduced(assumption)).
% 217.67/140.22 tff(1375,plain,
% 217.67/140.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 0) <=> v84(constB77, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 0) <=> v84(constB77, 0)))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1376,plain,
% 217.67/140.22 (($false | $false | (v84(constB78, 0) <=> v84(constB77, 0))) <=> (v84(constB78, 0) <=> v84(constB77, 0))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1377,plain,
% 217.67/140.22 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB78, 0) <=> v84(constB77, 0))) <=> ($false | $false | (v84(constB78, 0) <=> v84(constB77, 0)))),
% 217.67/140.22 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.22 tff(1378,plain,
% 217.67/140.22 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB78, 0) <=> v84(constB77, 0))) <=> (v84(constB78, 0) <=> v84(constB77, 0))),
% 217.67/140.22 inference(transitivity,[status(thm)],[1377, 1376])).
% 217.67/140.22 tff(1379,plain,
% 217.67/140.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB78, 0) <=> v84(constB77, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 0) <=> v84(constB77, 0)))),
% 217.67/140.22 inference(monotonicity,[status(thm)],[1378])).
% 217.67/140.22 tff(1380,plain,
% 217.67/140.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB78, 0) <=> v84(constB77, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 0) <=> v84(constB77, 0)))),
% 217.67/140.22 inference(transitivity,[status(thm)],[1379, 1375])).
% 217.67/140.22 tff(1381,plain,
% 217.67/140.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB78, 0) <=> v84(constB77, 0)))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1382,plain,
% 217.67/140.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 0) <=> v84(constB77, 0))),
% 217.67/140.22 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 217.67/140.22 tff(1383,plain,
% 217.67/140.22 ($false),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1382, 1374, 1373])).
% 217.67/140.22 tff(1384,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | v84(constB78, 0) | (~v84(constB77, 0))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.22 tff(1385,plain,
% 217.67/140.22 (~v84(constB77, 0)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1384, 1370, 1204])).
% 217.67/140.22 tff(1386,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB77) <=> (v110(constB77) | v117(constB77)))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1387,plain,
% 217.67/140.22 (v109(constB77) <=> (v110(constB77) | v117(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1386, 456])).
% 217.67/140.22 tff(1388,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB77) <=> (v109(constB77) | v118(constB77)))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1389,plain,
% 217.67/140.22 (v108(constB77) <=> (v109(constB77) | v118(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1388, 428])).
% 217.67/140.22 tff(1390,plain,
% 217.67/140.22 ((v108(constB77) | v119(constB77)) | (~v108(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1391,plain,
% 217.67/140.22 (~v108(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1390, 1318])).
% 217.67/140.22 tff(1392,plain,
% 217.67/140.22 ((~(v108(constB77) <=> (v109(constB77) | v118(constB77)))) | v108(constB77) | (~(v109(constB77) | v118(constB77)))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1393,plain,
% 217.67/140.22 ((~(v108(constB77) <=> (v109(constB77) | v118(constB77)))) | (~(v109(constB77) | v118(constB77)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1392, 1391])).
% 217.67/140.22 tff(1394,plain,
% 217.67/140.22 (~(v109(constB77) | v118(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1393, 1389])).
% 217.67/140.22 tff(1395,plain,
% 217.67/140.22 ((v109(constB77) | v118(constB77)) | (~v109(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1396,plain,
% 217.67/140.22 (~v109(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1395, 1394])).
% 217.67/140.22 tff(1397,plain,
% 217.67/140.22 ((~(v109(constB77) <=> (v110(constB77) | v117(constB77)))) | v109(constB77) | (~(v110(constB77) | v117(constB77)))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1398,plain,
% 217.67/140.22 (~(v110(constB77) | v117(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1397, 1396, 1387])).
% 217.67/140.22 tff(1399,plain,
% 217.67/140.22 ((v110(constB77) | v117(constB77)) | (~v110(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1400,plain,
% 217.67/140.22 (~v110(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1399, 1398])).
% 217.67/140.22 tff(1401,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2))))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1402,plain,
% 217.67/140.22 (v113(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1401, 597])).
% 217.67/140.22 tff(1403,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB77) <=> (v113(constB77) | v114(constB77)))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1404,plain,
% 217.67/140.22 (v112(constB77) <=> (v113(constB77) | v114(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1403, 283])).
% 217.67/140.22 tff(1405,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB77) <=> (v112(constB77) | v115(constB77)))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1406,plain,
% 217.67/140.22 (v111(constB77) <=> (v112(constB77) | v115(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1405, 274])).
% 217.67/140.22 tff(1407,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB77) <=> (v111(constB77) | v116(constB77)))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1408,plain,
% 217.67/140.22 (v110(constB77) <=> (v111(constB77) | v116(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1407, 265])).
% 217.67/140.22 tff(1409,assumption,(~v110(constB77)), introduced(assumption)).
% 217.67/140.22 tff(1410,plain,
% 217.67/140.22 ((~(v110(constB77) <=> (v111(constB77) | v116(constB77)))) | v110(constB77) | (~(v111(constB77) | v116(constB77)))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1411,plain,
% 217.67/140.22 ((~(v110(constB77) <=> (v111(constB77) | v116(constB77)))) | (~(v111(constB77) | v116(constB77)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1410, 1409])).
% 217.67/140.22 tff(1412,plain,
% 217.67/140.22 (~(v111(constB77) | v116(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1411, 1408])).
% 217.67/140.22 tff(1413,plain,
% 217.67/140.22 ((v111(constB77) | v116(constB77)) | (~v111(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1414,plain,
% 217.67/140.22 (~v111(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1413, 1412])).
% 217.67/140.22 tff(1415,plain,
% 217.67/140.22 ((~(v111(constB77) <=> (v112(constB77) | v115(constB77)))) | v111(constB77) | (~(v112(constB77) | v115(constB77)))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1416,plain,
% 217.67/140.22 ((~(v111(constB77) <=> (v112(constB77) | v115(constB77)))) | (~(v112(constB77) | v115(constB77)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1415, 1414])).
% 217.67/140.22 tff(1417,plain,
% 217.67/140.22 (~(v112(constB77) | v115(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1416, 1406])).
% 217.67/140.22 tff(1418,plain,
% 217.67/140.22 ((v112(constB77) | v115(constB77)) | (~v112(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1419,plain,
% 217.67/140.22 (~v112(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1418, 1417])).
% 217.67/140.22 tff(1420,plain,
% 217.67/140.22 ((~(v112(constB77) <=> (v113(constB77) | v114(constB77)))) | v112(constB77) | (~(v113(constB77) | v114(constB77)))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1421,plain,
% 217.67/140.22 (~(v113(constB77) | v114(constB77))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1420, 1419, 1404])).
% 217.67/140.22 tff(1422,plain,
% 217.67/140.22 ((v113(constB77) | v114(constB77)) | (~v113(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1423,plain,
% 217.67/140.22 (~v113(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1422, 1421])).
% 217.67/140.22 tff(1424,assumption,(~v84(constB76, 2)), introduced(assumption)).
% 217.67/140.22 tff(1425,assumption,(~v84(constB77, 0)), introduced(assumption)).
% 217.67/140.22 tff(1426,plain,
% 217.67/140.22 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1427,plain,
% 217.67/140.22 ((v115(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 2) | (~v84(constB77, 1))))) <=> (v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1428,plain,
% 217.67/140.22 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 2) | (~v84(constB77, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)))))),
% 217.67/140.22 inference(monotonicity,[status(thm)],[1427])).
% 217.67/140.22 tff(1429,plain,
% 217.67/140.22 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 2) | (~v84(constB77, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)))))),
% 217.67/140.22 inference(transitivity,[status(thm)],[1428, 1426])).
% 217.67/140.22 tff(1430,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 2) | (~v84(constB77, 1)))))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1431,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0))))),
% 217.67/140.22 inference(modus_ponens,[status(thm)],[1430, 1429])).
% 217.67/140.22 tff(1432,plain,
% 217.67/140.22 (v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1431, 622])).
% 217.67/140.22 tff(1433,plain,
% 217.67/140.22 ((v112(constB77) | v115(constB77)) | (~v115(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1434,plain,
% 217.67/140.22 (~v115(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1433, 1417])).
% 217.67/140.22 tff(1435,plain,
% 217.67/140.22 ((~(v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0))))) | v115(constB77) | ((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1436,plain,
% 217.67/140.22 ((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1435, 1434, 1432])).
% 217.67/140.22 tff(1437,assumption,(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2)), introduced(assumption)).
% 217.67/140.22 tff(1438,plain,
% 217.67/140.22 ((~(v84(constB77, 2) <=> v84(constB76, 2))) | (~v84(constB77, 2)) | v84(constB76, 2)),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1439,plain,
% 217.67/140.22 ((~(v84(constB77, 2) <=> v84(constB76, 2))) | (~v84(constB77, 2))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1438, 1424])).
% 217.67/140.22 tff(1440,plain,
% 217.67/140.22 (~v84(constB77, 2)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1439, 1362])).
% 217.67/140.22 tff(1441,assumption,((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)), introduced(assumption)).
% 217.67/140.22 tff(1442,plain,
% 217.67/140.22 ((~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0))) | (~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1443,plain,
% 217.67/140.22 (~v84(constB77, 1)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1442, 1440, 1425, 1441])).
% 217.67/140.22 tff(1444,plain,
% 217.67/140.22 ((~(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2))) | v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2)),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1445,plain,
% 217.67/140.22 ($false),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1444, 1443, 1440, 1425, 1437])).
% 217.67/140.22 tff(1446,plain,(v84(constB77, 0) | (~(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2))) | (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0))) | v84(constB76, 2)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.22 tff(1447,plain,
% 217.67/140.22 (~(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1446, 1436, 1425, 1424])).
% 217.67/140.22 tff(1448,plain,
% 217.67/140.22 ((~(v113(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2))))) | v113(constB77) | (v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1449,plain,
% 217.67/140.22 ($false),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1448, 1447, 1423, 1402])).
% 217.67/140.22 tff(1450,plain,(v110(constB77) | v84(constB77, 0) | v84(constB76, 2)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.22 tff(1451,plain,
% 217.67/140.22 (v84(constB76, 2)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1450, 1400, 1385])).
% 217.67/140.22 tff(1452,plain,
% 217.67/140.22 ((~(v84(constB77, 2) <=> v84(constB76, 2))) | v84(constB77, 2) | (~v84(constB76, 2))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1453,plain,
% 217.67/140.22 ((~(v84(constB77, 2) <=> v84(constB76, 2))) | v84(constB77, 2)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1452, 1451])).
% 217.67/140.22 tff(1454,plain,
% 217.67/140.22 (v84(constB77, 2)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1453, 1362])).
% 217.67/140.22 tff(1455,plain,
% 217.67/140.22 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1456,plain,
% 217.67/140.22 ((v117(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 1) | (~v84(constB77, 2))))) <=> (v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1457,plain,
% 217.67/140.22 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 1) | (~v84(constB77, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)))))),
% 217.67/140.22 inference(monotonicity,[status(thm)],[1456])).
% 217.67/140.22 tff(1458,plain,
% 217.67/140.22 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 1) | (~v84(constB77, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)))))),
% 217.67/140.22 inference(transitivity,[status(thm)],[1457, 1455])).
% 217.67/140.22 tff(1459,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 1) | (~v84(constB77, 2)))))),
% 217.67/140.22 inference(quant_inst,[status(thm)],[])).
% 217.67/140.22 tff(1460,plain,
% 217.67/140.22 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))))),
% 217.67/140.22 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 217.67/140.22 tff(1461,plain,
% 217.67/140.22 (v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1460, 656])).
% 217.67/140.22 tff(1462,plain,
% 217.67/140.22 ((v110(constB77) | v117(constB77)) | (~v117(constB77))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1463,plain,
% 217.67/140.22 (~v117(constB77)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1462, 1398])).
% 217.67/140.22 tff(1464,plain,
% 217.67/140.22 ((~(v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))))) | v117(constB77) | (v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1465,plain,
% 217.67/140.22 (v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1464, 1463, 1461])).
% 217.67/140.22 tff(1466,plain,
% 217.67/140.22 ((~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))) | v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1467,plain,
% 217.67/140.22 (v84(constB77, 1)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1466, 1454, 1385, 1465])).
% 217.67/140.22 tff(1468,plain,
% 217.67/140.22 ((~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0))) | (~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0)),
% 217.67/140.22 inference(tautology,[status(thm)],[])).
% 217.67/140.22 tff(1469,plain,
% 217.67/140.22 ((~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0))) | (~v84(constB77, 1)) | (~v84(constB77, 2))),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1468, 1385])).
% 217.67/140.22 tff(1470,plain,
% 217.67/140.22 ($false),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1469, 1467, 1454, 1322])).
% 217.67/140.22 tff(1471,plain,(v94(constB78) | v84(constB78, 0)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.22 tff(1472,plain,
% 217.67/140.22 (v94(constB78)),
% 217.67/140.22 inference(unit_resolution,[status(thm)],[1471, 1204])).
% 217.67/140.22 tff(1473,plain,
% 217.67/140.22 (^[VarNext: state_type] : refl(((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.22 inference(bind,[status(th)],[])).
% 217.67/140.22 tff(1474,plain,
% 217.67/140.22 (![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.22 inference(quant_intro,[status(thm)],[1473])).
% 217.67/140.22 tff(1475,plain,
% 217.67/140.22 (^[VarNext: state_type] : rewrite(((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.22 inference(bind,[status(th)],[])).
% 217.67/140.22 tff(1476,plain,
% 217.67/140.22 (![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.22 inference(quant_intro,[status(thm)],[1475])).
% 217.67/140.22 tff(1477,plain,
% 217.67/140.22 (![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.22 inference(transitivity,[status(thm)],[1476, 1474])).
% 217.67/140.22 tff(1478,plain,
% 217.67/140.22 (^[VarNext: state_type] : rewrite(((~v94(VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.22 inference(bind,[status(th)],[])).
% 217.67/140.22 tff(1479,plain,
% 217.67/140.22 (![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.22 inference(quant_intro,[status(thm)],[1478])).
% 217.67/140.22 tff(1480,plain,
% 217.67/140.22 (^[VarNext: state_type] : rewrite(((~v94(VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ((~v94(VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v123(VarNext, B)))))),
% 217.67/140.22 inference(bind,[status(th)],[])).
% 217.67/140.22 tff(1481,plain,
% 217.67/140.22 (![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 217.67/140.22 inference(quant_intro,[status(thm)],[1480])).
% 217.67/140.22 tff(1482,plain,
% 217.67/140.22 (![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 217.67/140.22 inference(rewrite,[status(thm)],[])).
% 217.67/140.22 tff(1483,plain,
% 217.67/140.22 (^[VarNext: state_type] : trans(monotonicity(quant_intro(proof_bind(^[B: $int] : trans(monotonicity(rewrite(($less(B, 3) & (~$less(B, 0))) <=> ((~$lesseq(3, B)) & $lesseq(0, B))), ((($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v123(VarNext, B))) <=> (((~$lesseq(3, B)) & $lesseq(0, B)) => (v84(VarNext, B) <=> v123(VarNext, B))))), rewrite((((~$lesseq(3, B)) & $lesseq(0, B)) => (v84(VarNext, B) <=> v123(VarNext, B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B)))), ((($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v123(VarNext, B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B)))))), (![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v123(VarNext, B))) <=> ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B))))), ((v94(VarNext) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v123(VarNext, B)))) <=> (v94(VarNext) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B)))))), rewrite((v94(VarNext) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ((~v94(VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B))))), ((v94(VarNext) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ((~v94(VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B))))))),
% 217.67/140.22 inference(bind,[status(th)],[])).
% 217.67/140.22 tff(1484,plain,
% 217.67/140.22 (![VarNext: state_type] : (v94(VarNext) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 217.67/140.22 inference(quant_intro,[status(thm)],[1483])).
% 217.67/140.22 tff(1485,axiom,(![VarNext: state_type] : (v94(VarNext) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v84(VarNext, B) <=> v123(VarNext, B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0')).
% 217.67/140.22 tff(1486,plain,
% 217.67/140.22 (![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 217.67/140.23 tff(1487,plain,
% 217.67/140.23 (![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1486, 1482])).
% 217.67/140.23 tff(1488,plain,
% 217.67/140.23 (![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1487, 1481])).
% 217.67/140.23 tff(1489,plain,(
% 217.67/140.23 ![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 217.67/140.23 inference(skolemize,[status(sab)],[1488])).
% 217.67/140.23 tff(1490,plain,
% 217.67/140.23 (![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1489, 1479])).
% 217.67/140.23 tff(1491,plain,
% 217.67/140.23 (![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1490, 1477])).
% 217.67/140.23 tff(1492,plain,
% 217.67/140.23 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B))))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1493,plain,
% 217.67/140.23 (((~v94(constB78)) | ![B: $int] : ((v84(constB78, B) <=> v123(constB78, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B))))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1494,plain,
% 217.67/140.23 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB78)) | ![B: $int] : ((v84(constB78, B) <=> v123(constB78, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1493])).
% 217.67/140.23 tff(1495,plain,
% 217.67/140.23 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB78)) | ![B: $int] : ((v84(constB78, B) <=> v123(constB78, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B))))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1494, 1492])).
% 217.67/140.23 tff(1496,plain,
% 217.67/140.23 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB78)) | ![B: $int] : ((v84(constB78, B) <=> v123(constB78, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1497,plain,
% 217.67/140.23 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1496, 1495])).
% 217.67/140.23 tff(1498,plain,
% 217.67/140.23 ((~v94(constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1497, 1491])).
% 217.67/140.23 tff(1499,plain,
% 217.67/140.23 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1498, 1472])).
% 217.67/140.23 tff(1500,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 2) <=> v123(constB78, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 2) <=> v123(constB78, 2)))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1501,plain,
% 217.67/140.23 (($false | $false | (v84(constB78, 2) <=> v123(constB78, 2))) <=> (v84(constB78, 2) <=> v123(constB78, 2))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1502,plain,
% 217.67/140.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB78, 2) <=> v123(constB78, 2))) <=> ($false | $false | (v84(constB78, 2) <=> v123(constB78, 2)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.23 tff(1503,plain,
% 217.67/140.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB78, 2) <=> v123(constB78, 2))) <=> (v84(constB78, 2) <=> v123(constB78, 2))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1502, 1501])).
% 217.67/140.23 tff(1504,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB78, 2) <=> v123(constB78, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 2) <=> v123(constB78, 2)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1503])).
% 217.67/140.23 tff(1505,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB78, 2) <=> v123(constB78, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 2) <=> v123(constB78, 2)))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1504, 1500])).
% 217.67/140.23 tff(1506,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB78, 2) <=> v123(constB78, 2)))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1507,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 2) <=> v123(constB78, 2))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1506, 1505])).
% 217.67/140.23 tff(1508,plain,
% 217.67/140.23 (v84(constB78, 2) <=> v123(constB78, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1507, 1499])).
% 217.67/140.23 tff(1509,plain,
% 217.67/140.23 (^[VarCurr: state_type, VarNext: state_type] : refl(((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.23 inference(bind,[status(th)],[])).
% 217.67/140.23 tff(1510,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(quant_intro,[status(thm)],[1509])).
% 217.67/140.23 tff(1511,plain,
% 217.67/140.23 (^[VarCurr: state_type, VarNext: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.23 inference(bind,[status(th)],[])).
% 217.67/140.23 tff(1512,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(quant_intro,[status(thm)],[1511])).
% 217.67/140.23 tff(1513,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1512, 1510])).
% 217.67/140.23 tff(1514,plain,
% 217.67/140.23 (^[VarCurr: state_type, VarNext: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.23 inference(bind,[status(th)],[])).
% 217.67/140.23 tff(1515,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(quant_intro,[status(thm)],[1514])).
% 217.67/140.23 tff(1516,plain,
% 217.67/140.23 (^[VarCurr: state_type, VarNext: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v123(VarNext, B) <=> v121(VarCurr, B)))))),
% 217.67/140.23 inference(bind,[status(th)],[])).
% 217.67/140.23 tff(1517,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 217.67/140.23 inference(quant_intro,[status(thm)],[1516])).
% 217.67/140.23 tff(1518,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1519,plain,
% 217.67/140.23 (^[VarCurr: state_type, VarNext: state_type] : trans(monotonicity(quant_intro(proof_bind(^[B: $int] : trans(monotonicity(rewrite(($less(B, 3) & (~$less(B, 0))) <=> ((~$lesseq(3, B)) & $lesseq(0, B))), ((($less(B, 3) & (~$less(B, 0))) => (v123(VarNext, B) <=> v121(VarCurr, B))) <=> (((~$lesseq(3, B)) & $lesseq(0, B)) => (v123(VarNext, B) <=> v121(VarCurr, B))))), rewrite((((~$lesseq(3, B)) & $lesseq(0, B)) => (v123(VarNext, B) <=> v121(VarCurr, B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B)))), ((($less(B, 3) & (~$less(B, 0))) => (v123(VarNext, B) <=> v121(VarCurr, B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B)))))), (![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v123(VarNext, B) <=> v121(VarCurr, B))) <=> ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> (nextState(VarCurr, VarNext) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B)))))), rewrite((nextState(VarCurr, VarNext) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B))))))),
% 217.67/140.23 inference(bind,[status(th)],[])).
% 217.67/140.23 tff(1520,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 217.67/140.23 inference(quant_intro,[status(thm)],[1519])).
% 217.67/140.23 tff(1521,axiom,(![VarCurr: state_type, VarNext: state_type] : (nextState(VarCurr, VarNext) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v123(VarNext, B) <=> v121(VarCurr, B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7')).
% 217.67/140.23 tff(1522,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1521, 1520])).
% 217.67/140.23 tff(1523,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1522, 1518])).
% 217.67/140.23 tff(1524,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1523, 1517])).
% 217.67/140.23 tff(1525,plain,(
% 217.67/140.23 ![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 217.67/140.23 inference(skolemize,[status(sab)],[1524])).
% 217.67/140.23 tff(1526,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1525, 1515])).
% 217.67/140.23 tff(1527,plain,
% 217.67/140.23 (![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1526, 1513])).
% 217.67/140.23 tff(1528,plain,
% 217.67/140.23 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B))))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1529,plain,
% 217.67/140.23 (((~nextState(constB77, constB78)) | ![B: $int] : ((v123(constB78, B) <=> v121(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B))))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1530,plain,
% 217.67/140.23 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB77, constB78)) | ![B: $int] : ((v123(constB78, B) <=> v121(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1529])).
% 217.67/140.23 tff(1531,plain,
% 217.67/140.23 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB77, constB78)) | ![B: $int] : ((v123(constB78, B) <=> v121(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B))))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1530, 1528])).
% 217.67/140.23 tff(1532,plain,
% 217.67/140.23 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB77, constB78)) | ![B: $int] : ((v123(constB78, B) <=> v121(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1533,plain,
% 217.67/140.23 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB77, constB78)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1532, 1531])).
% 217.67/140.23 tff(1534,plain,
% 217.67/140.23 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1533, 1240, 1527])).
% 217.67/140.23 tff(1535,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 2) <=> v121(constB77, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 2) <=> v121(constB77, 2)))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1536,plain,
% 217.67/140.23 (($false | $false | (v123(constB78, 2) <=> v121(constB77, 2))) <=> (v123(constB78, 2) <=> v121(constB77, 2))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1537,plain,
% 217.67/140.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB78, 2) <=> v121(constB77, 2))) <=> ($false | $false | (v123(constB78, 2) <=> v121(constB77, 2)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.23 tff(1538,plain,
% 217.67/140.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB78, 2) <=> v121(constB77, 2))) <=> (v123(constB78, 2) <=> v121(constB77, 2))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1537, 1536])).
% 217.67/140.23 tff(1539,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB78, 2) <=> v121(constB77, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 2) <=> v121(constB77, 2)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1538])).
% 217.67/140.23 tff(1540,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB78, 2) <=> v121(constB77, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 2) <=> v121(constB77, 2)))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1539, 1535])).
% 217.67/140.23 tff(1541,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB78, 2) <=> v121(constB77, 2)))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1542,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 2) <=> v121(constB77, 2))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1541, 1540])).
% 217.67/140.23 tff(1543,plain,
% 217.67/140.23 (v123(constB78, 2) <=> v121(constB77, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1542, 1534])).
% 217.67/140.23 tff(1544,plain,
% 217.67/140.23 (^[VarCurr: state_type] : refl((v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.23 inference(bind,[status(th)],[])).
% 217.67/140.23 tff(1545,plain,
% 217.67/140.23 (![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(quant_intro,[status(thm)],[1544])).
% 217.67/140.23 tff(1546,plain,
% 217.67/140.23 (^[VarCurr: state_type] : rewrite((v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.23 inference(bind,[status(th)],[])).
% 217.67/140.23 tff(1547,plain,
% 217.67/140.23 (![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(quant_intro,[status(thm)],[1546])).
% 217.67/140.23 tff(1548,plain,
% 217.67/140.23 (![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1547, 1545])).
% 217.67/140.23 tff(1549,plain,
% 217.67/140.23 (^[VarCurr: state_type] : rewrite((v105(VarCurr) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.23 inference(bind,[status(th)],[])).
% 217.67/140.23 tff(1550,plain,
% 217.67/140.23 (![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> ![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(quant_intro,[status(thm)],[1549])).
% 217.67/140.23 tff(1551,plain,
% 217.67/140.23 (^[VarCurr: state_type] : rewrite((v105(VarCurr) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> (v105(VarCurr) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v121(VarCurr, B) <=> v124(VarCurr, B)))))),
% 217.67/140.23 inference(bind,[status(th)],[])).
% 217.67/140.23 tff(1552,plain,
% 217.67/140.23 (![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> ![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 217.67/140.23 inference(quant_intro,[status(thm)],[1551])).
% 217.67/140.23 tff(1553,plain,
% 217.67/140.23 (![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> ![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1554,plain,
% 217.67/140.23 (^[VarCurr: state_type] : trans(monotonicity(quant_intro(proof_bind(^[B: $int] : trans(monotonicity(rewrite(($less(B, 3) & (~$less(B, 0))) <=> ((~$lesseq(3, B)) & $lesseq(0, B))), ((($less(B, 3) & (~$less(B, 0))) => (v121(VarCurr, B) <=> v124(VarCurr, B))) <=> (((~$lesseq(3, B)) & $lesseq(0, B)) => (v121(VarCurr, B) <=> v124(VarCurr, B))))), rewrite((((~$lesseq(3, B)) & $lesseq(0, B)) => (v121(VarCurr, B) <=> v124(VarCurr, B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B)))), ((($less(B, 3) & (~$less(B, 0))) => (v121(VarCurr, B) <=> v124(VarCurr, B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B)))))), (![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v121(VarCurr, B) <=> v124(VarCurr, B))) <=> ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B))))), (((~v105(VarCurr)) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> ((~v105(VarCurr)) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B)))))), rewrite(((~v105(VarCurr)) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> (v105(VarCurr) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B))))), (((~v105(VarCurr)) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> (v105(VarCurr) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B))))))),
% 217.67/140.23 inference(bind,[status(th)],[])).
% 217.67/140.23 tff(1555,plain,
% 217.67/140.23 (![VarCurr: state_type] : ((~v105(VarCurr)) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> ![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 217.67/140.23 inference(quant_intro,[status(thm)],[1554])).
% 217.67/140.23 tff(1556,axiom,(![VarCurr: state_type] : ((~v105(VarCurr)) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v121(VarCurr, B) <=> v124(VarCurr, B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1')).
% 217.67/140.23 tff(1557,plain,
% 217.67/140.23 (![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 217.67/140.23 tff(1558,plain,
% 217.67/140.23 (![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1557, 1553])).
% 217.67/140.23 tff(1559,plain,
% 217.67/140.23 (![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1558, 1552])).
% 217.67/140.23 tff(1560,plain,(
% 217.67/140.23 ![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 217.67/140.23 inference(skolemize,[status(sab)],[1559])).
% 217.67/140.23 tff(1561,plain,
% 217.67/140.23 (![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1560, 1550])).
% 217.67/140.23 tff(1562,plain,
% 217.67/140.23 (![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1561, 1548])).
% 217.67/140.23 tff(1563,plain,
% 217.67/140.23 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B))))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1564,plain,
% 217.67/140.23 ((v105(constB77) | ![B: $int] : ((v121(constB77, B) <=> v124(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B))))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1565,plain,
% 217.67/140.23 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB77) | ![B: $int] : ((v121(constB77, B) <=> v124(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1564])).
% 217.67/140.23 tff(1566,plain,
% 217.67/140.23 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB77) | ![B: $int] : ((v121(constB77, B) <=> v124(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B))))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1565, 1563])).
% 217.67/140.23 tff(1567,plain,
% 217.67/140.23 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB77) | ![B: $int] : ((v121(constB77, B) <=> v124(constB77, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1568,plain,
% 217.67/140.23 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 217.67/140.23 tff(1569,plain,
% 217.67/140.23 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1568, 1562, 1309])).
% 217.67/140.23 tff(1570,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 2) <=> v124(constB77, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 2) <=> v124(constB77, 2)))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1571,plain,
% 217.67/140.23 (($false | $false | (v121(constB77, 2) <=> v124(constB77, 2))) <=> (v121(constB77, 2) <=> v124(constB77, 2))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1572,plain,
% 217.67/140.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB77, 2) <=> v124(constB77, 2))) <=> ($false | $false | (v121(constB77, 2) <=> v124(constB77, 2)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.23 tff(1573,plain,
% 217.67/140.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB77, 2) <=> v124(constB77, 2))) <=> (v121(constB77, 2) <=> v124(constB77, 2))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1572, 1571])).
% 217.67/140.23 tff(1574,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB77, 2) <=> v124(constB77, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 2) <=> v124(constB77, 2)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1573])).
% 217.67/140.23 tff(1575,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB77, 2) <=> v124(constB77, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 2) <=> v124(constB77, 2)))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1574, 1570])).
% 217.67/140.23 tff(1576,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB77, 2) <=> v124(constB77, 2)))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1577,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 2) <=> v124(constB77, 2))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 217.67/140.23 tff(1578,plain,
% 217.67/140.23 (v121(constB77, 2) <=> v124(constB77, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1577, 1569])).
% 217.67/140.23 tff(1579,assumption,(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))), introduced(assumption)).
% 217.67/140.23 tff(1580,plain,
% 217.67/140.23 (v84(constB79, 0) <=> v84(constB78, 0)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1198, 1190])).
% 217.67/140.23 tff(1581,plain,
% 217.67/140.23 ((~(v84(constB79, 0) <=> v84(constB78, 0))) | (~v84(constB79, 0)) | v84(constB78, 0)),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1582,plain,
% 217.67/140.23 ((~(v84(constB79, 0) <=> v84(constB78, 0))) | (~v84(constB79, 0))),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1581, 1204])).
% 217.67/140.23 tff(1583,plain,
% 217.67/140.23 (~v84(constB79, 0)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1582, 1580])).
% 217.67/140.23 tff(1584,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))), introduced(assumption)).
% 217.67/140.23 tff(1585,plain,
% 217.67/140.23 (v84(constB78, 2) <=> v123(constB78, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1507, 1584])).
% 217.67/140.23 tff(1586,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))), introduced(assumption)).
% 217.67/140.23 tff(1587,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 2) <=> b110(2)))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1588,plain,
% 217.67/140.23 (($false | $false | (v124(constB77, 2) <=> b110(2))) <=> (v124(constB77, 2) <=> b110(2))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1589,plain,
% 217.67/140.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b110(2))) <=> ($false | $false | (v124(constB77, 2) <=> b110(2)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.23 tff(1590,plain,
% 217.67/140.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b110(2))) <=> (v124(constB77, 2) <=> b110(2))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1589, 1588])).
% 217.67/140.23 tff(1591,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 2) <=> b110(2)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1590])).
% 217.67/140.23 tff(1592,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 2) <=> b110(2)))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1591, 1587])).
% 217.67/140.23 tff(1593,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b110(2)))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1594,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 2) <=> b110(2))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1593, 1592])).
% 217.67/140.23 tff(1595,plain,
% 217.67/140.23 (v124(constB77, 2) <=> b110(2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1594, 1586])).
% 217.67/140.23 tff(1596,plain,
% 217.67/140.23 (b110(2) <=> b110(2)),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1597,axiom,(b110(2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_20')).
% 217.67/140.23 tff(1598,plain,
% 217.67/140.23 (b110(2)),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1597, 1596])).
% 217.67/140.23 tff(1599,plain,
% 217.67/140.23 ((~(v124(constB77, 2) <=> b110(2))) | v124(constB77, 2) | (~b110(2))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1600,plain,
% 217.67/140.23 ((~(v124(constB77, 2) <=> b110(2))) | v124(constB77, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1599, 1598])).
% 217.67/140.23 tff(1601,plain,
% 217.67/140.23 (v124(constB77, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1600, 1595])).
% 217.67/140.23 tff(1602,plain,
% 217.67/140.23 ((~(v121(constB77, 2) <=> v124(constB77, 2))) | v121(constB77, 2) | (~v124(constB77, 2))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1603,plain,
% 217.67/140.23 ((~(v121(constB77, 2) <=> v124(constB77, 2))) | v121(constB77, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1602, 1601])).
% 217.67/140.23 tff(1604,plain,
% 217.67/140.23 (v121(constB77, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1603, 1578])).
% 217.67/140.23 tff(1605,plain,
% 217.67/140.23 ((~(v123(constB78, 2) <=> v121(constB77, 2))) | v123(constB78, 2) | (~v121(constB77, 2))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1606,plain,
% 217.67/140.23 ((~(v123(constB78, 2) <=> v121(constB77, 2))) | v123(constB78, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1605, 1604])).
% 217.67/140.23 tff(1607,plain,
% 217.67/140.23 (v123(constB78, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1606, 1543])).
% 217.67/140.23 tff(1608,plain,
% 217.67/140.23 ((~(v84(constB78, 2) <=> v123(constB78, 2))) | v84(constB78, 2) | (~v123(constB78, 2))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1609,plain,
% 217.67/140.23 ((~(v84(constB78, 2) <=> v123(constB78, 2))) | v84(constB78, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1608, 1607])).
% 217.67/140.23 tff(1610,plain,
% 217.67/140.23 (v84(constB78, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1609, 1585])).
% 217.67/140.23 tff(1611,plain,
% 217.67/140.23 ((~(v84(constB79, 2) <=> v84(constB78, 2))) | v84(constB79, 2) | (~v84(constB78, 2))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1612,plain,
% 217.67/140.23 ((~(v84(constB79, 2) <=> v84(constB78, 2))) | v84(constB79, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1611, 1610])).
% 217.67/140.23 tff(1613,plain,
% 217.67/140.23 (v84(constB79, 2)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1612, 1227])).
% 217.67/140.23 tff(1614,assumption,(~v84(constB79, 0)), introduced(assumption)).
% 217.67/140.23 tff(1615,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 1) <=> v84(constB78, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 1) <=> v84(constB78, 1)))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1616,plain,
% 217.67/140.23 (($false | $false | (v84(constB79, 1) <=> v84(constB78, 1))) <=> (v84(constB79, 1) <=> v84(constB78, 1))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1617,plain,
% 217.67/140.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB79, 1) <=> v84(constB78, 1))) <=> ($false | $false | (v84(constB79, 1) <=> v84(constB78, 1)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.23 tff(1618,plain,
% 217.67/140.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB79, 1) <=> v84(constB78, 1))) <=> (v84(constB79, 1) <=> v84(constB78, 1))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1617, 1616])).
% 217.67/140.23 tff(1619,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB79, 1) <=> v84(constB78, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 1) <=> v84(constB78, 1)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1618])).
% 217.67/140.23 tff(1620,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB79, 1) <=> v84(constB78, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 1) <=> v84(constB78, 1)))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1619, 1615])).
% 217.67/140.23 tff(1621,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB79, 1) <=> v84(constB78, 1)))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1622,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB79, B) <=> v84(constB78, B)))) | (v84(constB79, 1) <=> v84(constB78, 1))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1621, 1620])).
% 217.67/140.23 tff(1623,plain,
% 217.67/140.23 (v84(constB79, 1) <=> v84(constB78, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1622, 1190])).
% 217.67/140.23 tff(1624,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 1) <=> v123(constB78, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 1) <=> v123(constB78, 1)))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1625,plain,
% 217.67/140.23 (($false | $false | (v84(constB78, 1) <=> v123(constB78, 1))) <=> (v84(constB78, 1) <=> v123(constB78, 1))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1626,plain,
% 217.67/140.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB78, 1) <=> v123(constB78, 1))) <=> ($false | $false | (v84(constB78, 1) <=> v123(constB78, 1)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.23 tff(1627,plain,
% 217.67/140.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB78, 1) <=> v123(constB78, 1))) <=> (v84(constB78, 1) <=> v123(constB78, 1))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1626, 1625])).
% 217.67/140.23 tff(1628,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB78, 1) <=> v123(constB78, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 1) <=> v123(constB78, 1)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1627])).
% 217.67/140.23 tff(1629,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB78, 1) <=> v123(constB78, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 1) <=> v123(constB78, 1)))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1628, 1624])).
% 217.67/140.23 tff(1630,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB78, 1) <=> v123(constB78, 1)))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1631,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 1) <=> v123(constB78, 1))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 217.67/140.23 tff(1632,plain,
% 217.67/140.23 (v84(constB78, 1) <=> v123(constB78, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1631, 1584])).
% 217.67/140.23 tff(1633,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 1) <=> v121(constB77, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 1) <=> v121(constB77, 1)))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1634,plain,
% 217.67/140.23 (($false | $false | (v123(constB78, 1) <=> v121(constB77, 1))) <=> (v123(constB78, 1) <=> v121(constB77, 1))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1635,plain,
% 217.67/140.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB78, 1) <=> v121(constB77, 1))) <=> ($false | $false | (v123(constB78, 1) <=> v121(constB77, 1)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.23 tff(1636,plain,
% 217.67/140.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB78, 1) <=> v121(constB77, 1))) <=> (v123(constB78, 1) <=> v121(constB77, 1))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1635, 1634])).
% 217.67/140.23 tff(1637,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB78, 1) <=> v121(constB77, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 1) <=> v121(constB77, 1)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1636])).
% 217.67/140.23 tff(1638,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB78, 1) <=> v121(constB77, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 1) <=> v121(constB77, 1)))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1637, 1633])).
% 217.67/140.23 tff(1639,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB78, 1) <=> v121(constB77, 1)))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1640,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 1) <=> v121(constB77, 1))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1639, 1638])).
% 217.67/140.23 tff(1641,plain,
% 217.67/140.23 (v123(constB78, 1) <=> v121(constB77, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1640, 1534])).
% 217.67/140.23 tff(1642,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 1) <=> v124(constB77, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 1) <=> v124(constB77, 1)))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1643,plain,
% 217.67/140.23 (($false | $false | (v121(constB77, 1) <=> v124(constB77, 1))) <=> (v121(constB77, 1) <=> v124(constB77, 1))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1644,plain,
% 217.67/140.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB77, 1) <=> v124(constB77, 1))) <=> ($false | $false | (v121(constB77, 1) <=> v124(constB77, 1)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.23 tff(1645,plain,
% 217.67/140.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB77, 1) <=> v124(constB77, 1))) <=> (v121(constB77, 1) <=> v124(constB77, 1))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1644, 1643])).
% 217.67/140.23 tff(1646,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB77, 1) <=> v124(constB77, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 1) <=> v124(constB77, 1)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1645])).
% 217.67/140.23 tff(1647,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB77, 1) <=> v124(constB77, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 1) <=> v124(constB77, 1)))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1646, 1642])).
% 217.67/140.23 tff(1648,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB77, 1) <=> v124(constB77, 1)))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1649,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 1) <=> v124(constB77, 1))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1648, 1647])).
% 217.67/140.23 tff(1650,plain,
% 217.67/140.23 (v121(constB77, 1) <=> v124(constB77, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1649, 1569])).
% 217.67/140.23 tff(1651,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 1) <=> b110(1)))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1652,plain,
% 217.67/140.23 (($false | $false | (v124(constB77, 1) <=> b110(1))) <=> (v124(constB77, 1) <=> b110(1))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1653,plain,
% 217.67/140.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b110(1))) <=> ($false | $false | (v124(constB77, 1) <=> b110(1)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.23 tff(1654,plain,
% 217.67/140.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b110(1))) <=> (v124(constB77, 1) <=> b110(1))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1653, 1652])).
% 217.67/140.23 tff(1655,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 1) <=> b110(1)))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1654])).
% 217.67/140.23 tff(1656,plain,
% 217.67/140.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 1) <=> b110(1)))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1655, 1651])).
% 217.67/140.23 tff(1657,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b110(1)))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1658,plain,
% 217.67/140.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 1) <=> b110(1))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1657, 1656])).
% 217.67/140.23 tff(1659,plain,
% 217.67/140.23 (v124(constB77, 1) <=> b110(1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1658, 1586])).
% 217.67/140.23 tff(1660,plain,
% 217.67/140.23 (b110(1) <=> b110(1)),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1661,axiom,(b110(1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_19')).
% 217.67/140.23 tff(1662,plain,
% 217.67/140.23 (b110(1)),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 217.67/140.23 tff(1663,plain,
% 217.67/140.23 ((~(v124(constB77, 1) <=> b110(1))) | v124(constB77, 1) | (~b110(1))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1664,plain,
% 217.67/140.23 ((~(v124(constB77, 1) <=> b110(1))) | v124(constB77, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1663, 1662])).
% 217.67/140.23 tff(1665,plain,
% 217.67/140.23 (v124(constB77, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1664, 1659])).
% 217.67/140.23 tff(1666,plain,
% 217.67/140.23 ((~(v121(constB77, 1) <=> v124(constB77, 1))) | v121(constB77, 1) | (~v124(constB77, 1))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1667,plain,
% 217.67/140.23 ((~(v121(constB77, 1) <=> v124(constB77, 1))) | v121(constB77, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1666, 1665])).
% 217.67/140.23 tff(1668,plain,
% 217.67/140.23 (v121(constB77, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1667, 1650])).
% 217.67/140.23 tff(1669,plain,
% 217.67/140.23 ((~(v123(constB78, 1) <=> v121(constB77, 1))) | v123(constB78, 1) | (~v121(constB77, 1))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1670,plain,
% 217.67/140.23 ((~(v123(constB78, 1) <=> v121(constB77, 1))) | v123(constB78, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1669, 1668])).
% 217.67/140.23 tff(1671,plain,
% 217.67/140.23 (v123(constB78, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1670, 1641])).
% 217.67/140.23 tff(1672,plain,
% 217.67/140.23 ((~(v84(constB78, 1) <=> v123(constB78, 1))) | v84(constB78, 1) | (~v123(constB78, 1))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1673,plain,
% 217.67/140.23 ((~(v84(constB78, 1) <=> v123(constB78, 1))) | v84(constB78, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1672, 1671])).
% 217.67/140.23 tff(1674,plain,
% 217.67/140.23 (v84(constB78, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1673, 1632])).
% 217.67/140.23 tff(1675,plain,
% 217.67/140.23 ((~(v84(constB79, 1) <=> v84(constB78, 1))) | v84(constB79, 1) | (~v84(constB78, 1))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1676,plain,
% 217.67/140.23 ((~(v84(constB79, 1) <=> v84(constB78, 1))) | v84(constB79, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1675, 1674])).
% 217.67/140.23 tff(1677,plain,
% 217.67/140.23 (v84(constB79, 1)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1676, 1623])).
% 217.67/140.23 tff(1678,plain,
% 217.67/140.23 ((~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1)))) | v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1679,plain,
% 217.67/140.23 (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1)))),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1678, 1677, 1614, 1613])).
% 217.67/140.23 tff(1680,assumption,(~(v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1)))))), introduced(assumption)).
% 217.67/140.23 tff(1681,plain,
% 217.67/140.23 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))))))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1682,plain,
% 217.67/140.23 ((v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 1)) | (~v84(constB79, 2))))) <=> (v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1)))))),
% 217.67/140.23 inference(rewrite,[status(thm)],[])).
% 217.67/140.23 tff(1683,plain,
% 217.67/140.23 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 1)) | (~v84(constB79, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))))))),
% 217.67/140.23 inference(monotonicity,[status(thm)],[1682])).
% 217.67/140.23 tff(1684,plain,
% 217.67/140.23 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 1)) | (~v84(constB79, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))))))),
% 217.67/140.23 inference(transitivity,[status(thm)],[1683, 1681])).
% 217.67/140.23 tff(1685,plain,
% 217.67/140.23 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 1)) | (~v84(constB79, 2)))))),
% 217.67/140.23 inference(quant_inst,[status(thm)],[])).
% 217.67/140.23 tff(1686,plain,
% 217.67/140.23 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1)))))),
% 217.67/140.23 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 217.67/140.23 tff(1687,plain,
% 217.67/140.23 ($false),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1686, 318, 1680])).
% 217.67/140.23 tff(1688,plain,(v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.23 tff(1689,plain,
% 217.67/140.23 ((~(v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1)))))) | v119(constB79) | (v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1)))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1690,plain,
% 217.67/140.23 (v119(constB79) | (v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1)))),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1689, 1688])).
% 217.67/140.23 tff(1691,plain,
% 217.67/140.23 (v119(constB79)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1690, 1679])).
% 217.67/140.23 tff(1692,plain,
% 217.67/140.23 ((v108(constB79) | v119(constB79)) | (~v119(constB79))),
% 217.67/140.23 inference(tautology,[status(thm)],[])).
% 217.67/140.23 tff(1693,plain,
% 217.67/140.23 (v108(constB79) | v119(constB79)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[1692, 1691])).
% 217.67/140.23 tff(1694,plain,
% 217.67/140.23 (v107(constB79)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[192, 1693])).
% 217.67/140.23 tff(1695,plain,
% 217.67/140.23 (~((~v107(constB79)) | (~v120(constB79)))),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[178, 1694])).
% 217.67/140.23 tff(1696,plain,
% 217.67/140.23 (v106(constB79)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[136, 1695])).
% 217.67/140.23 tff(1697,plain,
% 217.67/140.23 (v105(constB79) | v106(constB79)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[121, 1696])).
% 217.67/140.23 tff(1698,plain,
% 217.67/140.23 (v102(constB79)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[119, 1697])).
% 217.67/140.23 tff(1699,plain,
% 217.67/140.23 (v104(constB80)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[107, 1698])).
% 217.67/140.23 tff(1700,plain,
% 217.67/140.23 (~((~v95(constB80)) | (~v104(constB80)))),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[90, 1699])).
% 217.67/140.23 tff(1701,plain,
% 217.67/140.23 (v94(constB80)),
% 217.67/140.23 inference(unit_resolution,[status(thm)],[23, 1700])).
% 217.67/140.23 tff(1702,plain,
% 217.67/140.24 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B))))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1703,plain,
% 217.67/140.24 (((~v94(constB80)) | ![B: $int] : ((v84(constB80, B) <=> v123(constB80, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B))))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1704,plain,
% 217.67/140.24 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB80)) | ![B: $int] : ((v84(constB80, B) <=> v123(constB80, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1703])).
% 217.67/140.24 tff(1705,plain,
% 217.67/140.24 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB80)) | ![B: $int] : ((v84(constB80, B) <=> v123(constB80, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B))))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1704, 1702])).
% 217.67/140.24 tff(1706,plain,
% 217.67/140.24 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB80)) | ![B: $int] : ((v84(constB80, B) <=> v123(constB80, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.24 inference(quant_inst,[status(thm)],[])).
% 217.67/140.24 tff(1707,plain,
% 217.67/140.24 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1706, 1705])).
% 217.67/140.24 tff(1708,plain,
% 217.67/140.24 ((~v94(constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1707, 1491])).
% 217.67/140.24 tff(1709,plain,
% 217.67/140.24 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1708, 1701])).
% 217.67/140.24 tff(1710,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 2) <=> v123(constB80, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 2) <=> v123(constB80, 2)))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1711,plain,
% 217.67/140.24 (($false | $false | (v84(constB80, 2) <=> v123(constB80, 2))) <=> (v84(constB80, 2) <=> v123(constB80, 2))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1712,plain,
% 217.67/140.24 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB80, 2) <=> v123(constB80, 2))) <=> ($false | $false | (v84(constB80, 2) <=> v123(constB80, 2)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.24 tff(1713,plain,
% 217.67/140.24 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB80, 2) <=> v123(constB80, 2))) <=> (v84(constB80, 2) <=> v123(constB80, 2))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1712, 1711])).
% 217.67/140.24 tff(1714,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB80, 2) <=> v123(constB80, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 2) <=> v123(constB80, 2)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1713])).
% 217.67/140.24 tff(1715,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB80, 2) <=> v123(constB80, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 2) <=> v123(constB80, 2)))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1714, 1710])).
% 217.67/140.24 tff(1716,plain,
% 217.67/140.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB80, 2) <=> v123(constB80, 2)))),
% 217.67/140.24 inference(quant_inst,[status(thm)],[])).
% 217.67/140.24 tff(1717,plain,
% 217.67/140.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 2) <=> v123(constB80, 2))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1716, 1715])).
% 217.67/140.24 tff(1718,plain,
% 217.67/140.24 (v84(constB80, 2) <=> v123(constB80, 2)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1717, 1709])).
% 217.67/140.24 tff(1719,plain,
% 217.67/140.24 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B))))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1720,plain,
% 217.67/140.24 (((~nextState(constB79, constB80)) | ![B: $int] : ((v123(constB80, B) <=> v121(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B))))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1721,plain,
% 217.67/140.24 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB79, constB80)) | ![B: $int] : ((v123(constB80, B) <=> v121(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1720])).
% 217.67/140.24 tff(1722,plain,
% 217.67/140.24 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB79, constB80)) | ![B: $int] : ((v123(constB80, B) <=> v121(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B))))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1721, 1719])).
% 217.67/140.24 tff(1723,plain,
% 217.67/140.24 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB79, constB80)) | ![B: $int] : ((v123(constB80, B) <=> v121(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.24 inference(quant_inst,[status(thm)],[])).
% 217.67/140.24 tff(1724,plain,
% 217.67/140.24 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB79, constB80)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1723, 1722])).
% 217.67/140.24 tff(1725,plain,
% 217.67/140.24 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1724, 17, 1527])).
% 217.67/140.24 tff(1726,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 2) <=> v121(constB79, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 2) <=> v121(constB79, 2)))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1727,plain,
% 217.67/140.24 (($false | $false | (v123(constB80, 2) <=> v121(constB79, 2))) <=> (v123(constB80, 2) <=> v121(constB79, 2))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1728,plain,
% 217.67/140.24 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB80, 2) <=> v121(constB79, 2))) <=> ($false | $false | (v123(constB80, 2) <=> v121(constB79, 2)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.24 tff(1729,plain,
% 217.67/140.24 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB80, 2) <=> v121(constB79, 2))) <=> (v123(constB80, 2) <=> v121(constB79, 2))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1728, 1727])).
% 217.67/140.24 tff(1730,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB80, 2) <=> v121(constB79, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 2) <=> v121(constB79, 2)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1729])).
% 217.67/140.24 tff(1731,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB80, 2) <=> v121(constB79, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 2) <=> v121(constB79, 2)))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1730, 1726])).
% 217.67/140.24 tff(1732,plain,
% 217.67/140.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB80, 2) <=> v121(constB79, 2)))),
% 217.67/140.24 inference(quant_inst,[status(thm)],[])).
% 217.67/140.24 tff(1733,plain,
% 217.67/140.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 2) <=> v121(constB79, 2))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1732, 1731])).
% 217.67/140.24 tff(1734,plain,
% 217.67/140.24 (v123(constB80, 2) <=> v121(constB79, 2)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1733, 1725])).
% 217.67/140.24 tff(1735,plain,
% 217.67/140.24 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B))))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1736,plain,
% 217.67/140.24 ((v105(constB79) | ![B: $int] : ((v121(constB79, B) <=> v124(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B))))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1737,plain,
% 217.67/140.24 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB79) | ![B: $int] : ((v121(constB79, B) <=> v124(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1736])).
% 217.67/140.24 tff(1738,plain,
% 217.67/140.24 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB79) | ![B: $int] : ((v121(constB79, B) <=> v124(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B))))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1737, 1735])).
% 217.67/140.24 tff(1739,plain,
% 217.67/140.24 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB79) | ![B: $int] : ((v121(constB79, B) <=> v124(constB79, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.24 inference(quant_inst,[status(thm)],[])).
% 217.67/140.24 tff(1740,plain,
% 217.67/140.24 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1739, 1738])).
% 217.67/140.24 tff(1741,plain,
% 217.67/140.24 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1740, 1562, 173])).
% 217.67/140.24 tff(1742,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 2) <=> v124(constB79, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 2) <=> v124(constB79, 2)))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1743,plain,
% 217.67/140.24 (($false | $false | (v121(constB79, 2) <=> v124(constB79, 2))) <=> (v121(constB79, 2) <=> v124(constB79, 2))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1744,plain,
% 217.67/140.24 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB79, 2) <=> v124(constB79, 2))) <=> ($false | $false | (v121(constB79, 2) <=> v124(constB79, 2)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.24 tff(1745,plain,
% 217.67/140.24 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB79, 2) <=> v124(constB79, 2))) <=> (v121(constB79, 2) <=> v124(constB79, 2))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1744, 1743])).
% 217.67/140.24 tff(1746,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB79, 2) <=> v124(constB79, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 2) <=> v124(constB79, 2)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1745])).
% 217.67/140.24 tff(1747,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB79, 2) <=> v124(constB79, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 2) <=> v124(constB79, 2)))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1746, 1742])).
% 217.67/140.24 tff(1748,plain,
% 217.67/140.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB79, 2) <=> v124(constB79, 2)))),
% 217.67/140.24 inference(quant_inst,[status(thm)],[])).
% 217.67/140.24 tff(1749,plain,
% 217.67/140.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 2) <=> v124(constB79, 2))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1748, 1747])).
% 217.67/140.24 tff(1750,plain,
% 217.67/140.24 (v121(constB79, 2) <=> v124(constB79, 2)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1749, 1741])).
% 217.67/140.24 tff(1751,plain,
% 217.67/140.24 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2))))),
% 217.67/140.24 inference(quant_inst,[status(thm)],[])).
% 217.67/140.24 tff(1752,plain,
% 217.67/140.24 (v113(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2)))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1751, 597])).
% 217.67/140.24 tff(1753,plain,
% 217.67/140.24 ((v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2)) | (~v84(constB79, 2))),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1754,plain,
% 217.67/140.24 (v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1753, 1613])).
% 217.67/140.24 tff(1755,plain,
% 217.67/140.24 ((~(v113(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2))))) | (~v113(constB79)) | (~(v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2)))),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1756,plain,
% 217.67/140.24 (~v113(constB79)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1755, 1754, 1752])).
% 217.67/140.24 tff(1757,plain,
% 217.67/140.24 ((v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))) | (~v84(constB79, 1))),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1758,plain,
% 217.67/140.24 (v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1757, 1677])).
% 217.67/140.24 tff(1759,plain,
% 217.67/140.24 ((~(v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))))) | (~v117(constB79)) | (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))))),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1760,plain,
% 217.67/140.24 (~v117(constB79)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1759, 1758, 1218])).
% 217.67/140.24 tff(1761,plain,
% 217.67/140.24 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))))))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1762,plain,
% 217.67/140.24 ((v115(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 2) | (~v84(constB79, 1))))) <=> (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1763,plain,
% 217.67/140.24 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 2) | (~v84(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))))))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1762])).
% 217.67/140.24 tff(1764,plain,
% 217.67/140.24 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 2) | (~v84(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))))))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1763, 1761])).
% 217.67/140.24 tff(1765,plain,
% 217.67/140.24 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 2) | (~v84(constB79, 1)))))),
% 217.67/140.24 inference(quant_inst,[status(thm)],[])).
% 217.67/140.24 tff(1766,plain,
% 217.67/140.24 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 217.67/140.24 tff(1767,plain,
% 217.67/140.24 (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1766, 622])).
% 217.67/140.24 tff(1768,plain,
% 217.67/140.24 ((v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))) | (~v84(constB79, 2))),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1769,plain,
% 217.67/140.24 (v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1768, 1613])).
% 217.67/140.24 tff(1770,plain,
% 217.67/140.24 ((~(v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))) | (~v115(constB79)) | (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))))),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1771,plain,
% 217.67/140.24 (~v115(constB79)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1770, 1769, 1767])).
% 217.67/140.24 tff(1772,plain,
% 217.67/140.24 ((v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))) | v84(constB79, 0)),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1773,plain,
% 217.67/140.24 (v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1772, 1614])).
% 217.67/140.24 tff(1774,plain,
% 217.67/140.24 ((~(v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))))) | (~v116(constB79)) | (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))))),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1775,plain,
% 217.67/140.24 ((~(v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))))) | (~v116(constB79))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1774, 1773])).
% 217.67/140.24 tff(1776,plain,
% 217.67/140.24 (~v116(constB79)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1775, 557])).
% 217.67/140.24 tff(1777,plain,
% 217.67/140.24 (v114(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[480, 298])).
% 217.67/140.24 tff(1778,plain,
% 217.67/140.24 ((v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))) | v84(constB79, 0)),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1779,plain,
% 217.67/140.24 (v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1778, 1614])).
% 217.67/140.24 tff(1780,plain,
% 217.67/140.24 ((~(v114(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0)))))) | (~v114(constB79)) | (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))))),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1781,plain,
% 217.67/140.24 ((~(v114(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0)))))) | (~v114(constB79))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1780, 1779])).
% 217.67/140.24 tff(1782,plain,
% 217.67/140.24 (~v114(constB79)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1781, 1777])).
% 217.67/140.24 tff(1783,plain,
% 217.67/140.24 (v118(constB79) <=> (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[438, 394])).
% 217.67/140.24 tff(1784,plain,
% 217.67/140.24 ((v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))) | v84(constB79, 0)),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1785,plain,
% 217.67/140.24 (v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1784, 1614])).
% 217.67/140.24 tff(1786,plain,
% 217.67/140.24 ((~(v118(constB79) <=> (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))))) | (~v118(constB79)) | (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))))),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1787,plain,
% 217.67/140.24 ((~(v118(constB79) <=> (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))))) | (~v118(constB79))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1786, 1785])).
% 217.67/140.24 tff(1788,plain,
% 217.67/140.24 (~v118(constB79)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1787, 1783])).
% 217.67/140.24 tff(1789,plain,
% 217.67/140.24 (^[VarCurr: state_type] : refl((v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.24 inference(bind,[status(th)],[])).
% 217.67/140.24 tff(1790,plain,
% 217.67/140.24 (![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.24 inference(quant_intro,[status(thm)],[1789])).
% 217.67/140.24 tff(1791,plain,
% 217.67/140.24 (^[VarCurr: state_type] : rewrite((v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.24 inference(bind,[status(th)],[])).
% 217.67/140.24 tff(1792,plain,
% 217.67/140.24 (![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.24 inference(quant_intro,[status(thm)],[1791])).
% 217.67/140.24 tff(1793,plain,
% 217.67/140.24 (![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1792, 1790])).
% 217.67/140.24 tff(1794,plain,
% 217.67/140.24 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))) <=> (~(v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))), ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) <=> (~(~(v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))))), rewrite((~(~(v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))) <=> (v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr))), ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) <=> (v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))), quant_intro(proof_bind(^[B: $int] : trans(monotonicity(trans(monotonicity(rewrite(((~$greatereq(B, 3)) & $greatereq(B, 0)) <=> (~($greatereq(B, 3) | (~$greatereq(B, 0))))), ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) <=> (~(~($greatereq(B, 3) | (~$greatereq(B, 0))))))), rewrite((~(~($greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)))), ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0))))), (((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B))) <=> (($greatereq(B, 3) | (~$greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B))))), rewrite((($greatereq(B, 3) | (~$greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B))) <=> ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))), (((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B))) <=> ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))), (![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B))) <=> ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))), (((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B)))) <=> ((v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))), rewrite(((v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))), (((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B)))) <=> (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))))),
% 217.67/140.24 inference(bind,[status(th)],[])).
% 217.67/140.24 tff(1795,plain,
% 217.67/140.24 (![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.24 inference(quant_intro,[status(thm)],[1794])).
% 217.67/140.24 tff(1796,plain,
% 217.67/140.24 (^[VarCurr: state_type] : rewrite(((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))) <=> ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B)))))),
% 217.67/140.24 inference(bind,[status(th)],[])).
% 217.67/140.24 tff(1797,plain,
% 217.67/140.24 (![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.24 inference(quant_intro,[status(thm)],[1796])).
% 217.67/140.24 tff(1798,plain,
% 217.67/140.24 (![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1799,plain,
% 217.67/140.24 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)))), (((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr))) & (~v116(VarCurr))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr))) & (~v116(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)))), (((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr))))), ((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr))) & (~v117(VarCurr))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr))) & (~v117(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)))), ((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr))))), (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr))) & (~v118(VarCurr))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr))) & (~v118(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))), (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))))), quant_intro(proof_bind(^[B: $int] : trans(monotonicity(rewrite(($less(B, 3) & (~$less(B, 0))) <=> ((~$lesseq(3, B)) & $lesseq(0, B))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B))) <=> (((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b001(B))))), rewrite((((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b001(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))))), (![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B))) <=> ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))), ((((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B)))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))) <=> ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))), ((((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B)))) <=> ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))))),
% 217.67/140.24 inference(bind,[status(th)],[])).
% 217.67/140.24 tff(1800,plain,
% 217.67/140.24 (![VarCurr: state_type] : (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.24 inference(quant_intro,[status(thm)],[1799])).
% 217.67/140.24 tff(1801,axiom,(![VarCurr: state_type] : (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6')).
% 217.67/140.24 tff(1802,plain,
% 217.67/140.24 (![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1801, 1800])).
% 217.67/140.24 tff(1803,plain,
% 217.67/140.24 (![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1802, 1798])).
% 217.67/140.24 tff(1804,plain,
% 217.67/140.24 (![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1803, 1797])).
% 217.67/140.24 tff(1805,plain,(
% 217.67/140.24 ![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.24 inference(skolemize,[status(sab)],[1804])).
% 217.67/140.24 tff(1806,plain,
% 217.67/140.24 (![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1805, 1795])).
% 217.67/140.24 tff(1807,plain,
% 217.67/140.24 (![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1806, 1793])).
% 217.67/140.24 tff(1808,plain,
% 217.67/140.24 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB79) | v114(constB79) | v116(constB79) | v115(constB79) | v118(constB79) | v117(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB79) | v114(constB79) | v116(constB79) | v115(constB79) | v118(constB79) | v117(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B))))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1809,plain,
% 217.67/140.24 ((v118(constB79) | v117(constB79) | v116(constB79) | v115(constB79) | v114(constB79) | v113(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) <=> (v113(constB79) | v114(constB79) | v116(constB79) | v115(constB79) | v118(constB79) | v117(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B))))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1810,plain,
% 217.67/140.24 (^[B: $int] : rewrite(((v124(constB79, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B))))),
% 217.67/140.24 inference(bind,[status(th)],[])).
% 217.67/140.24 tff(1811,plain,
% 217.67/140.24 (![B: $int] : ((v124(constB79, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))),
% 217.67/140.24 inference(quant_intro,[status(thm)],[1810])).
% 217.67/140.24 tff(1812,plain,
% 217.67/140.24 ((v118(constB79) | v117(constB79) | v116(constB79) | v115(constB79) | v114(constB79) | v113(constB79) | ![B: $int] : ((v124(constB79, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB79) | v117(constB79) | v116(constB79) | v115(constB79) | v114(constB79) | v113(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B))))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1811])).
% 217.67/140.24 tff(1813,plain,
% 217.67/140.24 ((v118(constB79) | v117(constB79) | v116(constB79) | v115(constB79) | v114(constB79) | v113(constB79) | ![B: $int] : ((v124(constB79, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v113(constB79) | v114(constB79) | v116(constB79) | v115(constB79) | v118(constB79) | v117(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B))))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1812, 1809])).
% 217.67/140.24 tff(1814,plain,
% 217.67/140.24 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB79) | v117(constB79) | v116(constB79) | v115(constB79) | v114(constB79) | v113(constB79) | ![B: $int] : ((v124(constB79, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB79) | v114(constB79) | v116(constB79) | v115(constB79) | v118(constB79) | v117(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1813])).
% 217.67/140.24 tff(1815,plain,
% 217.67/140.24 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB79) | v117(constB79) | v116(constB79) | v115(constB79) | v114(constB79) | v113(constB79) | ![B: $int] : ((v124(constB79, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB79) | v114(constB79) | v116(constB79) | v115(constB79) | v118(constB79) | v117(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B))))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1814, 1808])).
% 217.67/140.24 tff(1816,plain,
% 217.67/140.24 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB79) | v117(constB79) | v116(constB79) | v115(constB79) | v114(constB79) | v113(constB79) | ![B: $int] : ((v124(constB79, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.24 inference(quant_inst,[status(thm)],[])).
% 217.67/140.24 tff(1817,plain,
% 217.67/140.24 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB79) | v114(constB79) | v116(constB79) | v115(constB79) | v118(constB79) | v117(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1816, 1815])).
% 217.67/140.24 tff(1818,plain,
% 217.67/140.24 (v113(constB79) | v115(constB79) | v117(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1817, 1807, 1788, 1782, 1776])).
% 217.67/140.24 tff(1819,plain,
% 217.67/140.24 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1818, 1771, 1760, 1756])).
% 217.67/140.24 tff(1820,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 2) <=> b001(2)))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1821,plain,
% 217.67/140.24 (($false | $false | (v124(constB79, 2) <=> b001(2))) <=> (v124(constB79, 2) <=> b001(2))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1822,plain,
% 217.67/140.24 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b001(2))) <=> ($false | $false | (v124(constB79, 2) <=> b001(2)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.24 tff(1823,plain,
% 217.67/140.24 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b001(2))) <=> (v124(constB79, 2) <=> b001(2))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1822, 1821])).
% 217.67/140.24 tff(1824,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 2) <=> b001(2)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1823])).
% 217.67/140.24 tff(1825,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 2) <=> b001(2)))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1824, 1820])).
% 217.67/140.24 tff(1826,plain,
% 217.67/140.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b001(2)))),
% 217.67/140.24 inference(quant_inst,[status(thm)],[])).
% 217.67/140.24 tff(1827,plain,
% 217.67/140.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 2) <=> b001(2))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 217.67/140.24 tff(1828,plain,
% 217.67/140.24 (v124(constB79, 2) <=> b001(2)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1827, 1819])).
% 217.67/140.24 tff(1829,plain,
% 217.67/140.24 ((~b001(2)) <=> (~b001(2))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1830,axiom,(~b001(2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_5')).
% 217.67/140.24 tff(1831,plain,
% 217.67/140.24 (~b001(2)),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1830, 1829])).
% 217.67/140.24 tff(1832,plain,
% 217.67/140.24 ((~(v124(constB79, 2) <=> b001(2))) | (~v124(constB79, 2)) | b001(2)),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1833,plain,
% 217.67/140.24 ((~(v124(constB79, 2) <=> b001(2))) | (~v124(constB79, 2))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1832, 1831])).
% 217.67/140.24 tff(1834,plain,
% 217.67/140.24 (~v124(constB79, 2)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1833, 1828])).
% 217.67/140.24 tff(1835,plain,
% 217.67/140.24 ((~(v121(constB79, 2) <=> v124(constB79, 2))) | (~v121(constB79, 2)) | v124(constB79, 2)),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1836,plain,
% 217.67/140.24 ((~(v121(constB79, 2) <=> v124(constB79, 2))) | (~v121(constB79, 2))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1835, 1834])).
% 217.67/140.24 tff(1837,plain,
% 217.67/140.24 (~v121(constB79, 2)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1836, 1750])).
% 217.67/140.24 tff(1838,plain,
% 217.67/140.24 ((~(v123(constB80, 2) <=> v121(constB79, 2))) | (~v123(constB80, 2)) | v121(constB79, 2)),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1839,plain,
% 217.67/140.24 ((~(v123(constB80, 2) <=> v121(constB79, 2))) | (~v123(constB80, 2))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1838, 1837])).
% 217.67/140.24 tff(1840,plain,
% 217.67/140.24 (~v123(constB80, 2)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1839, 1734])).
% 217.67/140.24 tff(1841,plain,
% 217.67/140.24 ((~(v84(constB80, 2) <=> v123(constB80, 2))) | (~v84(constB80, 2)) | v123(constB80, 2)),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1842,plain,
% 217.67/140.24 ((~(v84(constB80, 2) <=> v123(constB80, 2))) | (~v84(constB80, 2))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1841, 1840])).
% 217.67/140.24 tff(1843,plain,
% 217.67/140.24 (~v84(constB80, 2)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1842, 1718])).
% 217.67/140.24 tff(1844,plain,
% 217.67/140.24 ((~(v84(constB81, 2) <=> v84(constB80, 2))) | (~v84(constB81, 2)) | v84(constB80, 2)),
% 217.67/140.24 inference(tautology,[status(thm)],[])).
% 217.67/140.24 tff(1845,plain,
% 217.67/140.24 ((~(v84(constB81, 2) <=> v84(constB80, 2))) | (~v84(constB81, 2))),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1844, 1843])).
% 217.67/140.24 tff(1846,plain,
% 217.67/140.24 (~v84(constB81, 2)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1845, 541])).
% 217.67/140.24 tff(1847,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 1) <=> v123(constB80, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 1) <=> v123(constB80, 1)))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1848,plain,
% 217.67/140.24 (($false | $false | (v84(constB80, 1) <=> v123(constB80, 1))) <=> (v84(constB80, 1) <=> v123(constB80, 1))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1849,plain,
% 217.67/140.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB80, 1) <=> v123(constB80, 1))) <=> ($false | $false | (v84(constB80, 1) <=> v123(constB80, 1)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.24 tff(1850,plain,
% 217.67/140.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB80, 1) <=> v123(constB80, 1))) <=> (v84(constB80, 1) <=> v123(constB80, 1))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1849, 1848])).
% 217.67/140.24 tff(1851,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB80, 1) <=> v123(constB80, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 1) <=> v123(constB80, 1)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1850])).
% 217.67/140.24 tff(1852,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB80, 1) <=> v123(constB80, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 1) <=> v123(constB80, 1)))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1851, 1847])).
% 217.67/140.24 tff(1853,plain,
% 217.67/140.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB80, 1) <=> v123(constB80, 1)))),
% 217.67/140.24 inference(quant_inst,[status(thm)],[])).
% 217.67/140.24 tff(1854,plain,
% 217.67/140.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 1) <=> v123(constB80, 1))),
% 217.67/140.24 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 217.67/140.24 tff(1855,plain,
% 217.67/140.24 (v84(constB80, 1) <=> v123(constB80, 1)),
% 217.67/140.24 inference(unit_resolution,[status(thm)],[1854, 1709])).
% 217.67/140.24 tff(1856,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 1) <=> v121(constB79, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 1) <=> v121(constB79, 1)))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1857,plain,
% 217.67/140.24 (($false | $false | (v123(constB80, 1) <=> v121(constB79, 1))) <=> (v123(constB80, 1) <=> v121(constB79, 1))),
% 217.67/140.24 inference(rewrite,[status(thm)],[])).
% 217.67/140.24 tff(1858,plain,
% 217.67/140.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB80, 1) <=> v121(constB79, 1))) <=> ($false | $false | (v123(constB80, 1) <=> v121(constB79, 1)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.24 tff(1859,plain,
% 217.67/140.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB80, 1) <=> v121(constB79, 1))) <=> (v123(constB80, 1) <=> v121(constB79, 1))),
% 217.67/140.24 inference(transitivity,[status(thm)],[1858, 1857])).
% 217.67/140.24 tff(1860,plain,
% 217.67/140.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB80, 1) <=> v121(constB79, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 1) <=> v121(constB79, 1)))),
% 217.67/140.24 inference(monotonicity,[status(thm)],[1859])).
% 217.67/140.25 tff(1861,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB80, 1) <=> v121(constB79, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 1) <=> v121(constB79, 1)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1860, 1856])).
% 217.67/140.25 tff(1862,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB80, 1) <=> v121(constB79, 1)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(1863,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 1) <=> v121(constB79, 1))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1862, 1861])).
% 217.67/140.25 tff(1864,plain,
% 217.67/140.25 (v123(constB80, 1) <=> v121(constB79, 1)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1863, 1725])).
% 217.67/140.25 tff(1865,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 1) <=> v124(constB79, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 1) <=> v124(constB79, 1)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1866,plain,
% 217.67/140.25 (($false | $false | (v121(constB79, 1) <=> v124(constB79, 1))) <=> (v121(constB79, 1) <=> v124(constB79, 1))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1867,plain,
% 217.67/140.25 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB79, 1) <=> v124(constB79, 1))) <=> ($false | $false | (v121(constB79, 1) <=> v124(constB79, 1)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.25 tff(1868,plain,
% 217.67/140.25 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB79, 1) <=> v124(constB79, 1))) <=> (v121(constB79, 1) <=> v124(constB79, 1))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1867, 1866])).
% 217.67/140.25 tff(1869,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB79, 1) <=> v124(constB79, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 1) <=> v124(constB79, 1)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[1868])).
% 217.67/140.25 tff(1870,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB79, 1) <=> v124(constB79, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 1) <=> v124(constB79, 1)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1869, 1865])).
% 217.67/140.25 tff(1871,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB79, 1) <=> v124(constB79, 1)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(1872,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 1) <=> v124(constB79, 1))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1871, 1870])).
% 217.67/140.25 tff(1873,plain,
% 217.67/140.25 (v121(constB79, 1) <=> v124(constB79, 1)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1872, 1741])).
% 217.67/140.25 tff(1874,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 1) <=> b001(1)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1875,plain,
% 217.67/140.25 (($false | $false | (v124(constB79, 1) <=> b001(1))) <=> (v124(constB79, 1) <=> b001(1))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1876,plain,
% 217.67/140.25 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b001(1))) <=> ($false | $false | (v124(constB79, 1) <=> b001(1)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.25 tff(1877,plain,
% 217.67/140.25 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b001(1))) <=> (v124(constB79, 1) <=> b001(1))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1876, 1875])).
% 217.67/140.25 tff(1878,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 1) <=> b001(1)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[1877])).
% 217.67/140.25 tff(1879,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 1) <=> b001(1)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1878, 1874])).
% 217.67/140.25 tff(1880,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b001(1)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(1881,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 1) <=> b001(1))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1880, 1879])).
% 217.67/140.25 tff(1882,plain,
% 217.67/140.25 (v124(constB79, 1) <=> b001(1)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1881, 1819])).
% 217.67/140.25 tff(1883,plain,
% 217.67/140.25 ((~b001(1)) <=> (~b001(1))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1884,axiom,(~b001(1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_4')).
% 217.67/140.25 tff(1885,plain,
% 217.67/140.25 (~b001(1)),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 217.67/140.25 tff(1886,plain,
% 217.67/140.25 ((~(v124(constB79, 1) <=> b001(1))) | (~v124(constB79, 1)) | b001(1)),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(1887,plain,
% 217.67/140.25 ((~(v124(constB79, 1) <=> b001(1))) | (~v124(constB79, 1))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1886, 1885])).
% 217.67/140.25 tff(1888,plain,
% 217.67/140.25 (~v124(constB79, 1)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1887, 1882])).
% 217.67/140.25 tff(1889,plain,
% 217.67/140.25 ((~(v121(constB79, 1) <=> v124(constB79, 1))) | (~v121(constB79, 1)) | v124(constB79, 1)),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(1890,plain,
% 217.67/140.25 ((~(v121(constB79, 1) <=> v124(constB79, 1))) | (~v121(constB79, 1))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1889, 1888])).
% 217.67/140.25 tff(1891,plain,
% 217.67/140.25 (~v121(constB79, 1)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1890, 1873])).
% 217.67/140.25 tff(1892,plain,
% 217.67/140.25 ((~(v123(constB80, 1) <=> v121(constB79, 1))) | (~v123(constB80, 1)) | v121(constB79, 1)),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(1893,plain,
% 217.67/140.25 ((~(v123(constB80, 1) <=> v121(constB79, 1))) | (~v123(constB80, 1))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1892, 1891])).
% 217.67/140.25 tff(1894,plain,
% 217.67/140.25 (~v123(constB80, 1)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1893, 1864])).
% 217.67/140.25 tff(1895,plain,
% 217.67/140.25 ((~(v84(constB80, 1) <=> v123(constB80, 1))) | (~v84(constB80, 1)) | v123(constB80, 1)),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(1896,plain,
% 217.67/140.25 ((~(v84(constB80, 1) <=> v123(constB80, 1))) | (~v84(constB80, 1))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1895, 1894])).
% 217.67/140.25 tff(1897,plain,
% 217.67/140.25 (~v84(constB80, 1)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1896, 1855])).
% 217.67/140.25 tff(1898,plain,
% 217.67/140.25 ((~(v84(constB81, 1) <=> v84(constB80, 1))) | (~v84(constB81, 1)) | v84(constB80, 1)),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(1899,plain,
% 217.67/140.25 ((~(v84(constB81, 1) <=> v84(constB80, 1))) | (~v84(constB81, 1))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1898, 1897])).
% 217.67/140.25 tff(1900,plain,
% 217.67/140.25 (~v84(constB81, 1)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1899, 409])).
% 217.67/140.25 tff(1901,plain,
% 217.67/140.25 (v84(constB81, 0) <=> v84(constB80, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[371, 363])).
% 217.67/140.25 tff(1902,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 0) <=> v123(constB80, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 0) <=> v123(constB80, 0)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1903,plain,
% 217.67/140.25 (($false | $false | (v84(constB80, 0) <=> v123(constB80, 0))) <=> (v84(constB80, 0) <=> v123(constB80, 0))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1904,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB80, 0) <=> v123(constB80, 0))) <=> ($false | $false | (v84(constB80, 0) <=> v123(constB80, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.25 tff(1905,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB80, 0) <=> v123(constB80, 0))) <=> (v84(constB80, 0) <=> v123(constB80, 0))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1904, 1903])).
% 217.67/140.25 tff(1906,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB80, 0) <=> v123(constB80, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 0) <=> v123(constB80, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[1905])).
% 217.67/140.25 tff(1907,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB80, 0) <=> v123(constB80, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 0) <=> v123(constB80, 0)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1906, 1902])).
% 217.67/140.25 tff(1908,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB80, 0) <=> v123(constB80, 0)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(1909,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (v84(constB80, 0) <=> v123(constB80, 0))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1908, 1907])).
% 217.67/140.25 tff(1910,plain,
% 217.67/140.25 (v84(constB80, 0) <=> v123(constB80, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1909, 1709])).
% 217.67/140.25 tff(1911,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 0) <=> v121(constB79, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 0) <=> v121(constB79, 0)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1912,plain,
% 217.67/140.25 (($false | $false | (v123(constB80, 0) <=> v121(constB79, 0))) <=> (v123(constB80, 0) <=> v121(constB79, 0))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1913,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB80, 0) <=> v121(constB79, 0))) <=> ($false | $false | (v123(constB80, 0) <=> v121(constB79, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.25 tff(1914,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB80, 0) <=> v121(constB79, 0))) <=> (v123(constB80, 0) <=> v121(constB79, 0))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1913, 1912])).
% 217.67/140.25 tff(1915,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB80, 0) <=> v121(constB79, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 0) <=> v121(constB79, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[1914])).
% 217.67/140.25 tff(1916,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB80, 0) <=> v121(constB79, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 0) <=> v121(constB79, 0)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1915, 1911])).
% 217.67/140.25 tff(1917,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB80, 0) <=> v121(constB79, 0)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(1918,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB80, B) <=> v121(constB79, B)))) | (v123(constB80, 0) <=> v121(constB79, 0))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1917, 1916])).
% 217.67/140.25 tff(1919,plain,
% 217.67/140.25 (v123(constB80, 0) <=> v121(constB79, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1918, 1725])).
% 217.67/140.25 tff(1920,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 0) <=> v124(constB79, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 0) <=> v124(constB79, 0)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1921,plain,
% 217.67/140.25 (($false | $false | (v121(constB79, 0) <=> v124(constB79, 0))) <=> (v121(constB79, 0) <=> v124(constB79, 0))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1922,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB79, 0) <=> v124(constB79, 0))) <=> ($false | $false | (v121(constB79, 0) <=> v124(constB79, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.25 tff(1923,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB79, 0) <=> v124(constB79, 0))) <=> (v121(constB79, 0) <=> v124(constB79, 0))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1922, 1921])).
% 217.67/140.25 tff(1924,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB79, 0) <=> v124(constB79, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 0) <=> v124(constB79, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[1923])).
% 217.67/140.25 tff(1925,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB79, 0) <=> v124(constB79, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 0) <=> v124(constB79, 0)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1924, 1920])).
% 217.67/140.25 tff(1926,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB79, 0) <=> v124(constB79, 0)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(1927,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB79, B) <=> v124(constB79, B)))) | (v121(constB79, 0) <=> v124(constB79, 0))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1926, 1925])).
% 217.67/140.25 tff(1928,plain,
% 217.67/140.25 (v121(constB79, 0) <=> v124(constB79, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1927, 1741])).
% 217.67/140.25 tff(1929,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 0) <=> b001(0)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1930,plain,
% 217.67/140.25 (($false | $false | (v124(constB79, 0) <=> b001(0))) <=> (v124(constB79, 0) <=> b001(0))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1931,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b001(0))) <=> ($false | $false | (v124(constB79, 0) <=> b001(0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.25 tff(1932,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b001(0))) <=> (v124(constB79, 0) <=> b001(0))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1931, 1930])).
% 217.67/140.25 tff(1933,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 0) <=> b001(0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[1932])).
% 217.67/140.25 tff(1934,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 0) <=> b001(0)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1933, 1929])).
% 217.67/140.25 tff(1935,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b001(0)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(1936,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (v124(constB79, 0) <=> b001(0))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1935, 1934])).
% 217.67/140.25 tff(1937,plain,
% 217.67/140.25 (v124(constB79, 0) <=> b001(0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1936, 1819])).
% 217.67/140.25 tff(1938,plain,
% 217.67/140.25 (b001(0) <=> b001(0)),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1939,axiom,(b001(0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_3')).
% 217.67/140.25 tff(1940,plain,
% 217.67/140.25 (b001(0)),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1939, 1938])).
% 217.67/140.25 tff(1941,plain,
% 217.67/140.25 ((~(v124(constB79, 0) <=> b001(0))) | v124(constB79, 0) | (~b001(0))),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(1942,plain,
% 217.67/140.25 ((~(v124(constB79, 0) <=> b001(0))) | v124(constB79, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1941, 1940])).
% 217.67/140.25 tff(1943,plain,
% 217.67/140.25 (v124(constB79, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1942, 1937])).
% 217.67/140.25 tff(1944,plain,
% 217.67/140.25 ((~(v121(constB79, 0) <=> v124(constB79, 0))) | v121(constB79, 0) | (~v124(constB79, 0))),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(1945,plain,
% 217.67/140.25 ((~(v121(constB79, 0) <=> v124(constB79, 0))) | v121(constB79, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1944, 1943])).
% 217.67/140.25 tff(1946,plain,
% 217.67/140.25 (v121(constB79, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1945, 1928])).
% 217.67/140.25 tff(1947,plain,
% 217.67/140.25 ((~(v123(constB80, 0) <=> v121(constB79, 0))) | v123(constB80, 0) | (~v121(constB79, 0))),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(1948,plain,
% 217.67/140.25 ((~(v123(constB80, 0) <=> v121(constB79, 0))) | v123(constB80, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1947, 1946])).
% 217.67/140.25 tff(1949,plain,
% 217.67/140.25 (v123(constB80, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1948, 1919])).
% 217.67/140.25 tff(1950,plain,
% 217.67/140.25 ((~(v84(constB80, 0) <=> v123(constB80, 0))) | v84(constB80, 0) | (~v123(constB80, 0))),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(1951,plain,
% 217.67/140.25 ((~(v84(constB80, 0) <=> v123(constB80, 0))) | v84(constB80, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1950, 1949])).
% 217.67/140.25 tff(1952,plain,
% 217.67/140.25 (v84(constB80, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1951, 1910])).
% 217.67/140.25 tff(1953,plain,
% 217.67/140.25 ((~(v84(constB81, 0) <=> v84(constB80, 0))) | v84(constB81, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[374, 1952])).
% 217.67/140.25 tff(1954,plain,
% 217.67/140.25 (v84(constB81, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1953, 1901])).
% 217.67/140.25 tff(1955,plain,
% 217.67/140.25 ((~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))) | v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(1956,plain,
% 217.67/140.25 ($false),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1955, 1954, 1900, 1846, 1579])).
% 217.67/140.25 tff(1957,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))) | v84(constB79, 0) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.25 tff(1958,plain,
% 217.67/140.25 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1957, 1583, 1579, 1499])).
% 217.67/140.25 tff(1959,plain,
% 217.67/140.25 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.25 inference(bind,[status(th)],[])).
% 217.67/140.25 tff(1960,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(quant_intro,[status(thm)],[1959])).
% 217.67/140.25 tff(1961,plain,
% 217.67/140.25 (^[VarCurr: state_type] : rewrite(((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.25 inference(bind,[status(th)],[])).
% 217.67/140.25 tff(1962,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(quant_intro,[status(thm)],[1961])).
% 217.67/140.25 tff(1963,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1962, 1960])).
% 217.67/140.25 tff(1964,plain,
% 217.67/140.25 (^[VarCurr: state_type] : rewrite(((~v118(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b110(B)))) <=> ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.25 inference(bind,[status(th)],[])).
% 217.67/140.25 tff(1965,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(quant_intro,[status(thm)],[1964])).
% 217.67/140.25 tff(1966,plain,
% 217.67/140.25 (^[VarCurr: state_type] : rewrite(((~v118(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B)))) <=> ((~v118(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b110(B)))))),
% 217.67/140.25 inference(bind,[status(th)],[])).
% 217.67/140.25 tff(1967,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b110(B))))),
% 217.67/140.25 inference(quant_intro,[status(thm)],[1966])).
% 217.67/140.25 tff(1968,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B))))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1969,plain,
% 217.67/140.25 (^[VarCurr: state_type] : trans(monotonicity(quant_intro(proof_bind(^[B: $int] : trans(monotonicity(rewrite(($less(B, 3) & (~$less(B, 0))) <=> ((~$lesseq(3, B)) & $lesseq(0, B))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b110(B))) <=> (((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b110(B))))), rewrite((((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b110(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B)))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b110(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B)))))), (![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b110(B))) <=> ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B))))), ((v118(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b110(B)))) <=> (v118(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B)))))), rewrite((v118(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B)))) <=> ((~v118(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B))))), ((v118(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b110(B)))) <=> ((~v118(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B))))))),
% 217.67/140.25 inference(bind,[status(th)],[])).
% 217.67/140.25 tff(1970,plain,
% 217.67/140.25 (![VarCurr: state_type] : (v118(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B))))),
% 217.67/140.25 inference(quant_intro,[status(thm)],[1969])).
% 217.67/140.25 tff(1971,axiom,(![VarCurr: state_type] : (v118(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b110(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5')).
% 217.67/140.25 tff(1972,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B))))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 217.67/140.25 tff(1973,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b110(B))))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1972, 1968])).
% 217.67/140.25 tff(1974,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b110(B))))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1973, 1967])).
% 217.67/140.25 tff(1975,plain,(
% 217.67/140.25 ![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b110(B))))),
% 217.67/140.25 inference(skolemize,[status(sab)],[1974])).
% 217.67/140.25 tff(1976,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1975, 1965])).
% 217.67/140.25 tff(1977,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1976, 1963])).
% 217.67/140.25 tff(1978,plain,
% 217.67/140.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B))))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1979,plain,
% 217.67/140.25 (((~v118(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B))))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1980,plain,
% 217.67/140.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[1979])).
% 217.67/140.25 tff(1981,plain,
% 217.67/140.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B))))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1980, 1978])).
% 217.67/140.25 tff(1982,plain,
% 217.67/140.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(1983,plain,
% 217.67/140.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1982, 1981])).
% 217.67/140.25 tff(1984,plain,
% 217.67/140.25 ((~v118(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1983, 1977])).
% 217.67/140.25 tff(1985,plain,
% 217.67/140.25 (~v118(constB77)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1984, 1958])).
% 217.67/140.25 tff(1986,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 0) <=> v124(constB77, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 0) <=> v124(constB77, 0)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1987,plain,
% 217.67/140.25 (($false | $false | (v121(constB77, 0) <=> v124(constB77, 0))) <=> (v121(constB77, 0) <=> v124(constB77, 0))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1988,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB77, 0) <=> v124(constB77, 0))) <=> ($false | $false | (v121(constB77, 0) <=> v124(constB77, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.25 tff(1989,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB77, 0) <=> v124(constB77, 0))) <=> (v121(constB77, 0) <=> v124(constB77, 0))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1988, 1987])).
% 217.67/140.25 tff(1990,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB77, 0) <=> v124(constB77, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 0) <=> v124(constB77, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[1989])).
% 217.67/140.25 tff(1991,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB77, 0) <=> v124(constB77, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 0) <=> v124(constB77, 0)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1990, 1986])).
% 217.67/140.25 tff(1992,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB77, 0) <=> v124(constB77, 0)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(1993,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB77, B) <=> v124(constB77, B)))) | (v121(constB77, 0) <=> v124(constB77, 0))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[1992, 1991])).
% 217.67/140.25 tff(1994,plain,
% 217.67/140.25 (v121(constB77, 0) <=> v124(constB77, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[1993, 1569])).
% 217.67/140.25 tff(1995,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 0) <=> v121(constB77, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 0) <=> v121(constB77, 0)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1996,plain,
% 217.67/140.25 (($false | $false | (v123(constB78, 0) <=> v121(constB77, 0))) <=> (v123(constB78, 0) <=> v121(constB77, 0))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(1997,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB78, 0) <=> v121(constB77, 0))) <=> ($false | $false | (v123(constB78, 0) <=> v121(constB77, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.25 tff(1998,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB78, 0) <=> v121(constB77, 0))) <=> (v123(constB78, 0) <=> v121(constB77, 0))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1997, 1996])).
% 217.67/140.25 tff(1999,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB78, 0) <=> v121(constB77, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 0) <=> v121(constB77, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[1998])).
% 217.67/140.25 tff(2000,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB78, 0) <=> v121(constB77, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 0) <=> v121(constB77, 0)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[1999, 1995])).
% 217.67/140.25 tff(2001,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB78, 0) <=> v121(constB77, 0)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(2002,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB78, B) <=> v121(constB77, B)))) | (v123(constB78, 0) <=> v121(constB77, 0))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2001, 2000])).
% 217.67/140.25 tff(2003,plain,
% 217.67/140.25 (v123(constB78, 0) <=> v121(constB77, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2002, 1534])).
% 217.67/140.25 tff(2004,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 0) <=> v123(constB78, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 0) <=> v123(constB78, 0)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2005,plain,
% 217.67/140.25 (($false | $false | (v84(constB78, 0) <=> v123(constB78, 0))) <=> (v84(constB78, 0) <=> v123(constB78, 0))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2006,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB78, 0) <=> v123(constB78, 0))) <=> ($false | $false | (v84(constB78, 0) <=> v123(constB78, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.25 tff(2007,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB78, 0) <=> v123(constB78, 0))) <=> (v84(constB78, 0) <=> v123(constB78, 0))),
% 217.67/140.25 inference(transitivity,[status(thm)],[2006, 2005])).
% 217.67/140.25 tff(2008,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB78, 0) <=> v123(constB78, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 0) <=> v123(constB78, 0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[2007])).
% 217.67/140.25 tff(2009,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB78, 0) <=> v123(constB78, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 0) <=> v123(constB78, 0)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[2008, 2004])).
% 217.67/140.25 tff(2010,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB78, 0) <=> v123(constB78, 0)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(2011,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))) | (v84(constB78, 0) <=> v123(constB78, 0))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2010, 2009])).
% 217.67/140.25 tff(2012,plain,
% 217.67/140.25 (v84(constB78, 0) <=> v123(constB78, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2011, 1499])).
% 217.67/140.25 tff(2013,plain,
% 217.67/140.25 ((~(v84(constB78, 0) <=> v123(constB78, 0))) | v84(constB78, 0) | (~v123(constB78, 0))),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(2014,plain,
% 217.67/140.25 ((~(v84(constB78, 0) <=> v123(constB78, 0))) | (~v123(constB78, 0))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2013, 1204])).
% 217.67/140.25 tff(2015,plain,
% 217.67/140.25 (~v123(constB78, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2014, 2012])).
% 217.67/140.25 tff(2016,plain,
% 217.67/140.25 ((~(v123(constB78, 0) <=> v121(constB77, 0))) | v123(constB78, 0) | (~v121(constB77, 0))),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(2017,plain,
% 217.67/140.25 ((~(v123(constB78, 0) <=> v121(constB77, 0))) | (~v121(constB77, 0))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2016, 2015])).
% 217.67/140.25 tff(2018,plain,
% 217.67/140.25 (~v121(constB77, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2017, 2003])).
% 217.67/140.25 tff(2019,plain,
% 217.67/140.25 ((~(v121(constB77, 0) <=> v124(constB77, 0))) | v121(constB77, 0) | (~v124(constB77, 0))),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(2020,plain,
% 217.67/140.25 ((~(v121(constB77, 0) <=> v124(constB77, 0))) | (~v124(constB77, 0))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2019, 2018])).
% 217.67/140.25 tff(2021,plain,
% 217.67/140.25 (~v124(constB77, 0)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2020, 1994])).
% 217.67/140.25 tff(2022,assumption,(~v124(constB77, 0)), introduced(assumption)).
% 217.67/140.25 tff(2023,plain,
% 217.67/140.25 (b011(0) <=> b011(0)),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2024,axiom,(b011(0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_9')).
% 217.67/140.25 tff(2025,plain,
% 217.67/140.25 (b011(0)),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 217.67/140.25 tff(2026,plain,
% 217.67/140.25 ((~(v124(constB77, 0) <=> b011(0))) | v124(constB77, 0) | (~b011(0))),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(2027,plain,
% 217.67/140.25 (~(v124(constB77, 0) <=> b011(0))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2026, 2025, 2022])).
% 217.67/140.25 tff(2028,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))), introduced(assumption)).
% 217.67/140.25 tff(2029,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))) | (v124(constB77, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))) | (v124(constB77, 0) <=> b011(0)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2030,plain,
% 217.67/140.25 (($false | $false | (v124(constB77, 0) <=> b011(0))) <=> (v124(constB77, 0) <=> b011(0))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2031,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b011(0))) <=> ($false | $false | (v124(constB77, 0) <=> b011(0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.25 tff(2032,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b011(0))) <=> (v124(constB77, 0) <=> b011(0))),
% 217.67/140.25 inference(transitivity,[status(thm)],[2031, 2030])).
% 217.67/140.25 tff(2033,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))) | (v124(constB77, 0) <=> b011(0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[2032])).
% 217.67/140.25 tff(2034,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))) | (v124(constB77, 0) <=> b011(0)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[2033, 2029])).
% 217.67/140.25 tff(2035,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b011(0)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(2036,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))) | (v124(constB77, 0) <=> b011(0))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2035, 2034])).
% 217.67/140.25 tff(2037,plain,
% 217.67/140.25 ($false),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2036, 2028, 2027])).
% 217.67/140.25 tff(2038,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))) | v124(constB77, 0)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.25 tff(2039,plain,
% 217.67/140.25 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2038, 2021])).
% 217.67/140.25 tff(2040,plain,
% 217.67/140.25 (b101(0) <=> b101(0)),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2041,axiom,(b101(0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_15')).
% 217.67/140.25 tff(2042,plain,
% 217.67/140.25 (b101(0)),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 217.67/140.25 tff(2043,plain,
% 217.67/140.25 ((~(v124(constB77, 0) <=> b101(0))) | v124(constB77, 0) | (~b101(0))),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(2044,plain,
% 217.67/140.25 (~(v124(constB77, 0) <=> b101(0))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2043, 2042, 2022])).
% 217.67/140.25 tff(2045,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))), introduced(assumption)).
% 217.67/140.25 tff(2046,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 0) <=> b101(0)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2047,plain,
% 217.67/140.25 (($false | $false | (v124(constB77, 0) <=> b101(0))) <=> (v124(constB77, 0) <=> b101(0))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2048,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b101(0))) <=> ($false | $false | (v124(constB77, 0) <=> b101(0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.25 tff(2049,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b101(0))) <=> (v124(constB77, 0) <=> b101(0))),
% 217.67/140.25 inference(transitivity,[status(thm)],[2048, 2047])).
% 217.67/140.25 tff(2050,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 0) <=> b101(0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[2049])).
% 217.67/140.25 tff(2051,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 0) <=> b101(0)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[2050, 2046])).
% 217.67/140.25 tff(2052,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b101(0)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(2053,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 0) <=> b101(0))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 217.67/140.25 tff(2054,plain,
% 217.67/140.25 ($false),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2053, 2045, 2044])).
% 217.67/140.25 tff(2055,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | v124(constB77, 0)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.25 tff(2056,plain,
% 217.67/140.25 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2055, 2021])).
% 217.67/140.25 tff(2057,plain,
% 217.67/140.25 ((~(v124(constB77, 0) <=> b001(0))) | v124(constB77, 0) | (~b001(0))),
% 217.67/140.25 inference(tautology,[status(thm)],[])).
% 217.67/140.25 tff(2058,plain,
% 217.67/140.25 (~(v124(constB77, 0) <=> b001(0))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2057, 1940, 2022])).
% 217.67/140.25 tff(2059,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))), introduced(assumption)).
% 217.67/140.25 tff(2060,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 0) <=> b001(0)))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2061,plain,
% 217.67/140.25 (($false | $false | (v124(constB77, 0) <=> b001(0))) <=> (v124(constB77, 0) <=> b001(0))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2062,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b001(0))) <=> ($false | $false | (v124(constB77, 0) <=> b001(0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.25 tff(2063,plain,
% 217.67/140.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b001(0))) <=> (v124(constB77, 0) <=> b001(0))),
% 217.67/140.25 inference(transitivity,[status(thm)],[2062, 2061])).
% 217.67/140.25 tff(2064,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 0) <=> b001(0)))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[2063])).
% 217.67/140.25 tff(2065,plain,
% 217.67/140.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 0) <=> b001(0)))),
% 217.67/140.25 inference(transitivity,[status(thm)],[2064, 2060])).
% 217.67/140.25 tff(2066,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b001(0)))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(2067,plain,
% 217.67/140.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 0) <=> b001(0))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2066, 2065])).
% 217.67/140.25 tff(2068,plain,
% 217.67/140.25 ($false),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2067, 2059, 2058])).
% 217.67/140.25 tff(2069,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | v124(constB77, 0)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.25 tff(2070,plain,
% 217.67/140.25 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2069, 2021])).
% 217.67/140.25 tff(2071,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))), introduced(assumption)).
% 217.67/140.25 tff(2072,plain,
% 217.67/140.25 (^[VarCurr: state_type] : refl(((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.25 inference(bind,[status(th)],[])).
% 217.67/140.25 tff(2073,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(quant_intro,[status(thm)],[2072])).
% 217.67/140.25 tff(2074,plain,
% 217.67/140.25 (^[VarCurr: state_type] : rewrite(((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.25 inference(bind,[status(th)],[])).
% 217.67/140.25 tff(2075,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(quant_intro,[status(thm)],[2074])).
% 217.67/140.25 tff(2076,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(transitivity,[status(thm)],[2075, 2073])).
% 217.67/140.25 tff(2077,plain,
% 217.67/140.25 (^[VarCurr: state_type] : rewrite(((~v117(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b101(B)))) <=> ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.25 inference(bind,[status(th)],[])).
% 217.67/140.25 tff(2078,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(quant_intro,[status(thm)],[2077])).
% 217.67/140.25 tff(2079,plain,
% 217.67/140.25 (^[VarCurr: state_type] : rewrite(((~v117(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B)))) <=> ((~v117(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b101(B)))))),
% 217.67/140.25 inference(bind,[status(th)],[])).
% 217.67/140.25 tff(2080,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b101(B))))),
% 217.67/140.25 inference(quant_intro,[status(thm)],[2079])).
% 217.67/140.25 tff(2081,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B))))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2082,plain,
% 217.67/140.25 (^[VarCurr: state_type] : trans(monotonicity(quant_intro(proof_bind(^[B: $int] : trans(monotonicity(rewrite(($less(B, 3) & (~$less(B, 0))) <=> ((~$lesseq(3, B)) & $lesseq(0, B))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b101(B))) <=> (((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b101(B))))), rewrite((((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b101(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B)))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b101(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B)))))), (![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b101(B))) <=> ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B))))), ((v117(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b101(B)))) <=> (v117(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B)))))), rewrite((v117(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B)))) <=> ((~v117(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B))))), ((v117(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b101(B)))) <=> ((~v117(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B))))))),
% 217.67/140.25 inference(bind,[status(th)],[])).
% 217.67/140.25 tff(2083,plain,
% 217.67/140.25 (![VarCurr: state_type] : (v117(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B))))),
% 217.67/140.25 inference(quant_intro,[status(thm)],[2082])).
% 217.67/140.25 tff(2084,axiom,(![VarCurr: state_type] : (v117(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b101(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4')).
% 217.67/140.25 tff(2085,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B))))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2084, 2083])).
% 217.67/140.25 tff(2086,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b101(B))))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2085, 2081])).
% 217.67/140.25 tff(2087,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b101(B))))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2086, 2080])).
% 217.67/140.25 tff(2088,plain,(
% 217.67/140.25 ![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b101(B))))),
% 217.67/140.25 inference(skolemize,[status(sab)],[2087])).
% 217.67/140.25 tff(2089,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2088, 2078])).
% 217.67/140.25 tff(2090,plain,
% 217.67/140.25 (![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2089, 2076])).
% 217.67/140.25 tff(2091,plain,
% 217.67/140.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B))))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2092,plain,
% 217.67/140.25 (((~v117(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B))))),
% 217.67/140.25 inference(rewrite,[status(thm)],[])).
% 217.67/140.25 tff(2093,plain,
% 217.67/140.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))))),
% 217.67/140.25 inference(monotonicity,[status(thm)],[2092])).
% 217.67/140.25 tff(2094,plain,
% 217.67/140.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B))))),
% 217.67/140.25 inference(transitivity,[status(thm)],[2093, 2091])).
% 217.67/140.25 tff(2095,plain,
% 217.67/140.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.25 inference(quant_inst,[status(thm)],[])).
% 217.67/140.25 tff(2096,plain,
% 217.67/140.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))),
% 217.67/140.25 inference(modus_ponens,[status(thm)],[2095, 2094])).
% 217.67/140.25 tff(2097,plain,
% 217.67/140.25 (~v117(constB77)),
% 217.67/140.25 inference(unit_resolution,[status(thm)],[2096, 2090, 2071])).
% 217.67/140.26 tff(2098,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))), introduced(assumption)).
% 217.67/140.26 tff(2099,plain,
% 217.67/140.26 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2100,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2099])).
% 217.67/140.26 tff(2101,plain,
% 217.67/140.26 (^[VarCurr: state_type] : rewrite(((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2102,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2101])).
% 217.67/140.26 tff(2103,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2102, 2100])).
% 217.67/140.26 tff(2104,plain,
% 217.67/140.26 (^[VarCurr: state_type] : rewrite(((~v113(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B)))) <=> ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2105,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2104])).
% 217.67/140.26 tff(2106,plain,
% 217.67/140.26 (^[VarCurr: state_type] : rewrite(((~v113(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))) <=> ((~v113(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2107,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2106])).
% 217.67/140.26 tff(2108,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2109,plain,
% 217.67/140.26 (^[VarCurr: state_type] : trans(monotonicity(quant_intro(proof_bind(^[B: $int] : trans(monotonicity(rewrite(($less(B, 3) & (~$less(B, 0))) <=> ((~$lesseq(3, B)) & $lesseq(0, B))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B))) <=> (((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b001(B))))), rewrite((((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b001(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))))), (![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B))) <=> ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))), ((v113(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B)))) <=> (v113(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))))), rewrite((v113(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B)))) <=> ((~v113(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))), ((v113(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B)))) <=> ((~v113(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2110,plain,
% 217.67/140.26 (![VarCurr: state_type] : (v113(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2109])).
% 217.67/140.26 tff(2111,axiom,(![VarCurr: state_type] : (v113(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b001(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0')).
% 217.67/140.26 tff(2112,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 217.67/140.26 tff(2113,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2112, 2108])).
% 217.67/140.26 tff(2114,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2113, 2107])).
% 217.67/140.26 tff(2115,plain,(
% 217.67/140.26 ![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b001(B))))),
% 217.67/140.26 inference(skolemize,[status(sab)],[2114])).
% 217.67/140.26 tff(2116,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2115, 2105])).
% 217.67/140.26 tff(2117,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2116, 2103])).
% 217.67/140.26 tff(2118,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2119,plain,
% 217.67/140.26 (((~v113(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2120,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))))),
% 217.67/140.26 inference(monotonicity,[status(thm)],[2119])).
% 217.67/140.26 tff(2121,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2120, 2118])).
% 217.67/140.26 tff(2122,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_inst,[status(thm)],[])).
% 217.67/140.26 tff(2123,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2122, 2121])).
% 217.67/140.26 tff(2124,plain,
% 217.67/140.26 (~v113(constB77)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2123, 2117, 2098])).
% 217.67/140.26 tff(2125,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))), introduced(assumption)).
% 217.67/140.26 tff(2126,plain,
% 217.67/140.26 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2127,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2126])).
% 217.67/140.26 tff(2128,plain,
% 217.67/140.26 (^[VarCurr: state_type] : rewrite(((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2129,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2128])).
% 217.67/140.26 tff(2130,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2129, 2127])).
% 217.67/140.26 tff(2131,plain,
% 217.67/140.26 (^[VarCurr: state_type] : rewrite(((~v115(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b011(B)))) <=> ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2132,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2131])).
% 217.67/140.26 tff(2133,plain,
% 217.67/140.26 (^[VarCurr: state_type] : rewrite(((~v115(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B)))) <=> ((~v115(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b011(B)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2134,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b011(B))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2133])).
% 217.67/140.26 tff(2135,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2136,plain,
% 217.67/140.26 (^[VarCurr: state_type] : trans(monotonicity(quant_intro(proof_bind(^[B: $int] : trans(monotonicity(rewrite(($less(B, 3) & (~$less(B, 0))) <=> ((~$lesseq(3, B)) & $lesseq(0, B))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b011(B))) <=> (((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b011(B))))), rewrite((((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b011(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B)))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b011(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B)))))), (![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b011(B))) <=> ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B))))), ((v115(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b011(B)))) <=> (v115(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B)))))), rewrite((v115(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B)))) <=> ((~v115(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B))))), ((v115(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b011(B)))) <=> ((~v115(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B))))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2137,plain,
% 217.67/140.26 (![VarCurr: state_type] : (v115(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2136])).
% 217.67/140.26 tff(2138,axiom,(![VarCurr: state_type] : (v115(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b011(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2')).
% 217.67/140.26 tff(2139,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2138, 2137])).
% 217.67/140.26 tff(2140,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b011(B))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2139, 2135])).
% 217.67/140.26 tff(2141,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b011(B))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2140, 2134])).
% 217.67/140.26 tff(2142,plain,(
% 217.67/140.26 ![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b011(B))))),
% 217.67/140.26 inference(skolemize,[status(sab)],[2141])).
% 217.67/140.26 tff(2143,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2142, 2132])).
% 217.67/140.26 tff(2144,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2143, 2130])).
% 217.67/140.26 tff(2145,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2146,plain,
% 217.67/140.26 (((~v115(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2147,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))))),
% 217.67/140.26 inference(monotonicity,[status(thm)],[2146])).
% 217.67/140.26 tff(2148,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B))))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2147, 2145])).
% 217.67/140.26 tff(2149,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_inst,[status(thm)],[])).
% 217.67/140.26 tff(2150,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2149, 2148])).
% 217.67/140.26 tff(2151,plain,
% 217.67/140.26 (~v115(constB77)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2150, 2144, 2125])).
% 217.67/140.26 tff(2152,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2153,plain,
% 217.67/140.26 ((v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 0)) | (~v84(constB77, 2))))) <=> (v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2154,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 0)) | (~v84(constB77, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))))))),
% 217.67/140.26 inference(monotonicity,[status(thm)],[2153])).
% 217.67/140.26 tff(2155,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 0)) | (~v84(constB77, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))))))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2154, 2152])).
% 217.67/140.26 tff(2156,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 0)) | (~v84(constB77, 2)))))),
% 217.67/140.26 inference(quant_inst,[status(thm)],[])).
% 217.67/140.26 tff(2157,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2156, 2155])).
% 217.67/140.26 tff(2158,plain,
% 217.67/140.26 (v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2157, 394])).
% 217.67/140.26 tff(2159,plain,
% 217.67/140.26 ((v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))) | v84(constB77, 0)),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2160,plain,
% 217.67/140.26 (v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2159, 1425])).
% 217.67/140.26 tff(2161,plain,
% 217.67/140.26 ((~(v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))))) | (~v118(constB77)) | (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2162,plain,
% 217.67/140.26 ((~(v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))))) | (~v118(constB77))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2161, 2160])).
% 217.67/140.26 tff(2163,plain,
% 217.67/140.26 (~v118(constB77)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2162, 2158])).
% 217.67/140.26 tff(2164,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2165,plain,
% 217.67/140.26 ((v116(constB77) <=> (~(v84(constB77, 2) | (~v84(constB77, 1)) | (~v84(constB77, 0))))) <=> (v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0)))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2166,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB77) <=> (~(v84(constB77, 2) | (~v84(constB77, 1)) | (~v84(constB77, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))))))),
% 217.67/140.26 inference(monotonicity,[status(thm)],[2165])).
% 217.67/140.26 tff(2167,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB77) <=> (~(v84(constB77, 2) | (~v84(constB77, 1)) | (~v84(constB77, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))))))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2166, 2164])).
% 217.67/140.26 tff(2168,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB77) <=> (~(v84(constB77, 2) | (~v84(constB77, 1)) | (~v84(constB77, 0)))))),
% 217.67/140.26 inference(quant_inst,[status(thm)],[])).
% 217.67/140.26 tff(2169,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0)))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2168, 2167])).
% 217.67/140.26 tff(2170,plain,
% 217.67/140.26 (v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2169, 521])).
% 217.67/140.26 tff(2171,plain,
% 217.67/140.26 (((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))) | v84(constB77, 0)),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2172,plain,
% 217.67/140.26 ((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2171, 1425])).
% 217.67/140.26 tff(2173,plain,
% 217.67/140.26 ((~(v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0)))))) | (~v116(constB77)) | (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2174,plain,
% 217.67/140.26 ((~(v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0)))))) | (~v116(constB77))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2173, 2172])).
% 217.67/140.26 tff(2175,plain,
% 217.67/140.26 (~v116(constB77)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2174, 2170])).
% 217.67/140.26 tff(2176,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))))),
% 217.67/140.26 inference(quant_inst,[status(thm)],[])).
% 217.67/140.26 tff(2177,plain,
% 217.67/140.26 (v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2176, 298])).
% 217.67/140.26 tff(2178,plain,
% 217.67/140.26 ((~(v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))))) | (~v114(constB77)) | (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2179,plain,
% 217.67/140.26 ((~(v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))))) | (~v114(constB77))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2178, 1205])).
% 217.67/140.26 tff(2180,plain,
% 217.67/140.26 (~v114(constB77)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2179, 2177])).
% 217.67/140.26 tff(2181,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v114(constB77) | v113(constB77) | v115(constB77) | v116(constB77) | v117(constB77) | v118(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v114(constB77) | v113(constB77) | v115(constB77) | v116(constB77) | v117(constB77) | v118(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2182,plain,
% 217.67/140.26 ((v118(constB77) | v117(constB77) | v116(constB77) | v115(constB77) | v114(constB77) | v113(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) <=> (v114(constB77) | v113(constB77) | v115(constB77) | v116(constB77) | v117(constB77) | v118(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2183,plain,
% 217.67/140.26 (^[B: $int] : rewrite(((v124(constB77, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2184,plain,
% 217.67/140.26 (![B: $int] : ((v124(constB77, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2183])).
% 217.67/140.26 tff(2185,plain,
% 217.67/140.26 ((v118(constB77) | v117(constB77) | v116(constB77) | v115(constB77) | v114(constB77) | v113(constB77) | ![B: $int] : ((v124(constB77, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB77) | v117(constB77) | v116(constB77) | v115(constB77) | v114(constB77) | v113(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))))),
% 217.67/140.26 inference(monotonicity,[status(thm)],[2184])).
% 217.67/140.26 tff(2186,plain,
% 217.67/140.26 ((v118(constB77) | v117(constB77) | v116(constB77) | v115(constB77) | v114(constB77) | v113(constB77) | ![B: $int] : ((v124(constB77, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v114(constB77) | v113(constB77) | v115(constB77) | v116(constB77) | v117(constB77) | v118(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2185, 2182])).
% 217.67/140.26 tff(2187,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB77) | v117(constB77) | v116(constB77) | v115(constB77) | v114(constB77) | v113(constB77) | ![B: $int] : ((v124(constB77, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v114(constB77) | v113(constB77) | v115(constB77) | v116(constB77) | v117(constB77) | v118(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))))),
% 217.67/140.26 inference(monotonicity,[status(thm)],[2186])).
% 217.67/140.26 tff(2188,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB77) | v117(constB77) | v116(constB77) | v115(constB77) | v114(constB77) | v113(constB77) | ![B: $int] : ((v124(constB77, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v114(constB77) | v113(constB77) | v115(constB77) | v116(constB77) | v117(constB77) | v118(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2187, 2181])).
% 217.67/140.26 tff(2189,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB77) | v117(constB77) | v116(constB77) | v115(constB77) | v114(constB77) | v113(constB77) | ![B: $int] : ((v124(constB77, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_inst,[status(thm)],[])).
% 217.67/140.26 tff(2190,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v114(constB77) | v113(constB77) | v115(constB77) | v116(constB77) | v117(constB77) | v118(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2189, 2188])).
% 217.67/140.26 tff(2191,plain,
% 217.67/140.26 (v113(constB77) | v115(constB77) | v117(constB77)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2190, 1807, 2098, 2180, 2175, 2163])).
% 217.67/140.26 tff(2192,plain,
% 217.67/140.26 ($false),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2191, 2151, 2124, 2097])).
% 217.67/140.26 tff(2193,plain,(v84(constB77, 0) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B))) | (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.26 tff(2194,plain,
% 217.67/140.26 (v84(constB77, 0)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2193, 2070, 2056, 2039, 1205])).
% 217.67/140.26 tff(2195,plain,
% 217.67/140.26 ((v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)) | (~v84(constB77, 0))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2196,plain,
% 217.67/140.26 (v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2195, 2194])).
% 217.67/140.26 tff(2197,plain,
% 217.67/140.26 ((~(v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))))) | (~v117(constB77)) | (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2198,plain,
% 217.67/140.26 ((~(v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))))) | (~v117(constB77))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2197, 2196])).
% 217.67/140.26 tff(2199,plain,
% 217.67/140.26 (~v117(constB77)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2198, 1461])).
% 217.67/140.26 tff(2200,plain,
% 217.67/140.26 (((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)) | (~v84(constB77, 0))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2201,plain,
% 217.67/140.26 ((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2200, 2194])).
% 217.67/140.26 tff(2202,plain,
% 217.67/140.26 ((~(v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0))))) | (~v115(constB77)) | (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2203,plain,
% 217.67/140.26 ((~(v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0))))) | (~v115(constB77))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2202, 2201])).
% 217.67/140.26 tff(2204,plain,
% 217.67/140.26 (~v115(constB77)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2203, 1432])).
% 217.67/140.26 tff(2205,plain,
% 217.67/140.26 ((v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2)) | (~v84(constB77, 0))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2206,plain,
% 217.67/140.26 (v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2205, 2194])).
% 217.67/140.26 tff(2207,plain,
% 217.67/140.26 ((~(v113(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2))))) | (~v113(constB77)) | (~(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2)))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2208,plain,
% 217.67/140.26 ((~(v113(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2))))) | (~v113(constB77))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2207, 2206])).
% 217.67/140.26 tff(2209,plain,
% 217.67/140.26 (~v113(constB77)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2208, 1402])).
% 217.67/140.26 tff(2210,plain,
% 217.67/140.26 (v116(constB77) | v118(constB77)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2190, 1807, 2070, 2209, 2180, 2204, 2199])).
% 217.67/140.26 tff(2211,plain,
% 217.67/140.26 (v116(constB77)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2210, 1985])).
% 217.67/140.26 tff(2212,plain,
% 217.67/140.26 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2213,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2212])).
% 217.67/140.26 tff(2214,plain,
% 217.67/140.26 (^[VarCurr: state_type] : rewrite(((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2215,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2214])).
% 217.67/140.26 tff(2216,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2215, 2213])).
% 217.67/140.26 tff(2217,plain,
% 217.67/140.26 (^[VarCurr: state_type] : rewrite(((~v116(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b100(B)))) <=> ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2218,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2217])).
% 217.67/140.26 tff(2219,plain,
% 217.67/140.26 (^[VarCurr: state_type] : rewrite(((~v116(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B)))) <=> ((~v116(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b100(B)))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2220,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b100(B))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2219])).
% 217.67/140.26 tff(2221,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2222,plain,
% 217.67/140.26 (^[VarCurr: state_type] : trans(monotonicity(quant_intro(proof_bind(^[B: $int] : trans(monotonicity(rewrite(($less(B, 3) & (~$less(B, 0))) <=> ((~$lesseq(3, B)) & $lesseq(0, B))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b100(B))) <=> (((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b100(B))))), rewrite((((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b100(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B)))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b100(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B)))))), (![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b100(B))) <=> ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B))))), ((v116(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b100(B)))) <=> (v116(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B)))))), rewrite((v116(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B)))) <=> ((~v116(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B))))), ((v116(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b100(B)))) <=> ((~v116(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B))))))),
% 217.67/140.26 inference(bind,[status(th)],[])).
% 217.67/140.26 tff(2223,plain,
% 217.67/140.26 (![VarCurr: state_type] : (v116(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B))))),
% 217.67/140.26 inference(quant_intro,[status(thm)],[2222])).
% 217.67/140.26 tff(2224,axiom,(![VarCurr: state_type] : (v116(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b100(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3')).
% 217.67/140.26 tff(2225,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2224, 2223])).
% 217.67/140.26 tff(2226,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b100(B))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2225, 2221])).
% 217.67/140.26 tff(2227,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b100(B))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2226, 2220])).
% 217.67/140.26 tff(2228,plain,(
% 217.67/140.26 ![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b100(B))))),
% 217.67/140.26 inference(skolemize,[status(sab)],[2227])).
% 217.67/140.26 tff(2229,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2228, 2218])).
% 217.67/140.26 tff(2230,plain,
% 217.67/140.26 (![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2229, 2216])).
% 217.67/140.26 tff(2231,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2232,plain,
% 217.67/140.26 (((~v116(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2233,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))))),
% 217.67/140.26 inference(monotonicity,[status(thm)],[2232])).
% 217.67/140.26 tff(2234,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B))))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2233, 2231])).
% 217.67/140.26 tff(2235,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.26 inference(quant_inst,[status(thm)],[])).
% 217.67/140.26 tff(2236,plain,
% 217.67/140.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 217.67/140.26 tff(2237,plain,
% 217.67/140.26 ((~v116(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2236, 2230])).
% 217.67/140.26 tff(2238,plain,
% 217.67/140.26 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2237, 2211])).
% 217.67/140.26 tff(2239,plain,
% 217.67/140.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | (v124(constB77, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | (v124(constB77, 2) <=> b100(2)))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2240,plain,
% 217.67/140.26 (($false | $false | (v124(constB77, 2) <=> b100(2))) <=> (v124(constB77, 2) <=> b100(2))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2241,plain,
% 217.67/140.26 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b100(2))) <=> ($false | $false | (v124(constB77, 2) <=> b100(2)))),
% 217.67/140.26 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.26 tff(2242,plain,
% 217.67/140.26 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b100(2))) <=> (v124(constB77, 2) <=> b100(2))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2241, 2240])).
% 217.67/140.26 tff(2243,plain,
% 217.67/140.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | (v124(constB77, 2) <=> b100(2)))),
% 217.67/140.26 inference(monotonicity,[status(thm)],[2242])).
% 217.67/140.26 tff(2244,plain,
% 217.67/140.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | (v124(constB77, 2) <=> b100(2)))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2243, 2239])).
% 217.67/140.26 tff(2245,plain,
% 217.67/140.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b100(2)))),
% 217.67/140.26 inference(quant_inst,[status(thm)],[])).
% 217.67/140.26 tff(2246,plain,
% 217.67/140.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | (v124(constB77, 2) <=> b100(2))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2245, 2244])).
% 217.67/140.26 tff(2247,plain,
% 217.67/140.26 (v124(constB77, 2) <=> b100(2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2246, 2238])).
% 217.67/140.26 tff(2248,plain,
% 217.67/140.26 (b100(2) <=> b100(2)),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2249,axiom,(b100(2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_14')).
% 217.67/140.26 tff(2250,plain,
% 217.67/140.26 (b100(2)),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2249, 2248])).
% 217.67/140.26 tff(2251,plain,
% 217.67/140.26 ((~(v124(constB77, 2) <=> b100(2))) | v124(constB77, 2) | (~b100(2))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2252,plain,
% 217.67/140.26 ((~(v124(constB77, 2) <=> b100(2))) | v124(constB77, 2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2251, 2250])).
% 217.67/140.26 tff(2253,plain,
% 217.67/140.26 (v124(constB77, 2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2252, 2247])).
% 217.67/140.26 tff(2254,plain,
% 217.67/140.26 ((~(v121(constB77, 2) <=> v124(constB77, 2))) | v121(constB77, 2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[1602, 2253])).
% 217.67/140.26 tff(2255,plain,
% 217.67/140.26 (v121(constB77, 2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2254, 1578])).
% 217.67/140.26 tff(2256,plain,
% 217.67/140.26 ((~(v123(constB78, 2) <=> v121(constB77, 2))) | v123(constB78, 2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[1605, 2255])).
% 217.67/140.26 tff(2257,plain,
% 217.67/140.26 (v123(constB78, 2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2256, 1543])).
% 217.67/140.26 tff(2258,plain,
% 217.67/140.26 ((~(v84(constB78, 2) <=> v123(constB78, 2))) | v84(constB78, 2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[1608, 2257])).
% 217.67/140.26 tff(2259,plain,
% 217.67/140.26 (v84(constB78, 2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2258, 1508])).
% 217.67/140.26 tff(2260,plain,
% 217.67/140.26 ((~(v84(constB79, 2) <=> v84(constB78, 2))) | v84(constB79, 2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[1611, 2259])).
% 217.67/140.26 tff(2261,plain,
% 217.67/140.26 (v84(constB79, 2)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2260, 1227])).
% 217.67/140.26 tff(2262,plain,
% 217.67/140.26 (v84(constB78, 1) <=> v123(constB78, 1)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[1631, 1499])).
% 217.67/140.26 tff(2263,plain,
% 217.67/140.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | (v124(constB77, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | (v124(constB77, 1) <=> b100(1)))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2264,plain,
% 217.67/140.26 (($false | $false | (v124(constB77, 1) <=> b100(1))) <=> (v124(constB77, 1) <=> b100(1))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2265,plain,
% 217.67/140.26 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b100(1))) <=> ($false | $false | (v124(constB77, 1) <=> b100(1)))),
% 217.67/140.26 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.26 tff(2266,plain,
% 217.67/140.26 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b100(1))) <=> (v124(constB77, 1) <=> b100(1))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2265, 2264])).
% 217.67/140.26 tff(2267,plain,
% 217.67/140.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | (v124(constB77, 1) <=> b100(1)))),
% 217.67/140.26 inference(monotonicity,[status(thm)],[2266])).
% 217.67/140.26 tff(2268,plain,
% 217.67/140.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | (v124(constB77, 1) <=> b100(1)))),
% 217.67/140.26 inference(transitivity,[status(thm)],[2267, 2263])).
% 217.67/140.26 tff(2269,plain,
% 217.67/140.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b100(1)))),
% 217.67/140.26 inference(quant_inst,[status(thm)],[])).
% 217.67/140.26 tff(2270,plain,
% 217.67/140.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b100(B)))) | (v124(constB77, 1) <=> b100(1))),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2269, 2268])).
% 217.67/140.26 tff(2271,plain,
% 217.67/140.26 (v124(constB77, 1) <=> b100(1)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2270, 2238])).
% 217.67/140.26 tff(2272,plain,
% 217.67/140.26 ((~b100(1)) <=> (~b100(1))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2273,axiom,(~b100(1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_13')).
% 217.67/140.26 tff(2274,plain,
% 217.67/140.26 (~b100(1)),
% 217.67/140.26 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 217.67/140.26 tff(2275,plain,
% 217.67/140.26 ((~(v124(constB77, 1) <=> b100(1))) | (~v124(constB77, 1)) | b100(1)),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2276,plain,
% 217.67/140.26 ((~(v124(constB77, 1) <=> b100(1))) | (~v124(constB77, 1))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2275, 2274])).
% 217.67/140.26 tff(2277,plain,
% 217.67/140.26 (~v124(constB77, 1)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2276, 2271])).
% 217.67/140.26 tff(2278,plain,
% 217.67/140.26 ((~(v121(constB77, 1) <=> v124(constB77, 1))) | (~v121(constB77, 1)) | v124(constB77, 1)),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2279,plain,
% 217.67/140.26 ((~(v121(constB77, 1) <=> v124(constB77, 1))) | (~v121(constB77, 1))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2278, 2277])).
% 217.67/140.26 tff(2280,plain,
% 217.67/140.26 (~v121(constB77, 1)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2279, 1650])).
% 217.67/140.26 tff(2281,plain,
% 217.67/140.26 ((~(v123(constB78, 1) <=> v121(constB77, 1))) | (~v123(constB78, 1)) | v121(constB77, 1)),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2282,plain,
% 217.67/140.26 ((~(v123(constB78, 1) <=> v121(constB77, 1))) | (~v123(constB78, 1))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2281, 2280])).
% 217.67/140.26 tff(2283,plain,
% 217.67/140.26 (~v123(constB78, 1)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2282, 1641])).
% 217.67/140.26 tff(2284,plain,
% 217.67/140.26 ((~(v84(constB78, 1) <=> v123(constB78, 1))) | (~v84(constB78, 1)) | v123(constB78, 1)),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2285,plain,
% 217.67/140.26 ((~(v84(constB78, 1) <=> v123(constB78, 1))) | (~v84(constB78, 1))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2284, 2283])).
% 217.67/140.26 tff(2286,plain,
% 217.67/140.26 (~v84(constB78, 1)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2285, 2262])).
% 217.67/140.26 tff(2287,plain,
% 217.67/140.26 ((~(v84(constB79, 1) <=> v84(constB78, 1))) | (~v84(constB79, 1)) | v84(constB78, 1)),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2288,plain,
% 217.67/140.26 ((~(v84(constB79, 1) <=> v84(constB78, 1))) | (~v84(constB79, 1))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2287, 2286])).
% 217.67/140.26 tff(2289,plain,
% 217.67/140.26 (~v84(constB79, 1)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2288, 1623])).
% 217.67/140.26 tff(2290,plain,
% 217.67/140.26 ((~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))) | v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2291,plain,
% 217.67/140.26 ((~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))) | v84(constB79, 1) | (~v84(constB79, 2))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2290, 1583])).
% 217.67/140.26 tff(2292,plain,
% 217.67/140.26 (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2291, 2289, 2261])).
% 217.67/140.26 tff(2293,plain,
% 217.67/140.26 ((~(v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))))) | v117(constB79) | (v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2294,plain,
% 217.67/140.26 (v117(constB79)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2293, 2292, 1218])).
% 217.67/140.26 tff(2295,plain,
% 217.67/140.26 ((v110(constB79) | v117(constB79)) | (~v117(constB79))),
% 217.67/140.26 inference(tautology,[status(thm)],[])).
% 217.67/140.26 tff(2296,plain,
% 217.67/140.26 (v110(constB79) | v117(constB79)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[2295, 2294])).
% 217.67/140.26 tff(2297,plain,
% 217.67/140.26 (v109(constB79)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[461, 2296, 458])).
% 217.67/140.26 tff(2298,plain,
% 217.67/140.26 (v109(constB79) | v118(constB79)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[459, 2297])).
% 217.67/140.26 tff(2299,plain,
% 217.67/140.26 (v108(constB79)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[433, 2298])).
% 217.67/140.26 tff(2300,plain,
% 217.67/140.26 (v108(constB79) | v119(constB79)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[419, 2299])).
% 217.67/140.26 tff(2301,plain,
% 217.67/140.26 (v107(constB79)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[192, 2300])).
% 217.67/140.26 tff(2302,plain,
% 217.67/140.26 (~((~v107(constB79)) | (~v120(constB79)))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[178, 2301])).
% 217.67/140.26 tff(2303,plain,
% 217.67/140.26 (v106(constB79)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[136, 2302])).
% 217.67/140.26 tff(2304,plain,
% 217.67/140.26 (v105(constB79) | v106(constB79)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[121, 2303])).
% 217.67/140.26 tff(2305,plain,
% 217.67/140.26 (v102(constB79)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[119, 2304])).
% 217.67/140.26 tff(2306,plain,
% 217.67/140.26 (v104(constB80)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[107, 2305])).
% 217.67/140.26 tff(2307,plain,
% 217.67/140.26 (~((~v95(constB80)) | (~v104(constB80)))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[90, 2306])).
% 217.67/140.26 tff(2308,plain,
% 217.67/140.26 (v94(constB80)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[23, 2307])).
% 217.67/140.26 tff(2309,plain,
% 217.67/140.26 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[1708, 2308])).
% 217.67/140.26 tff(2310,plain,
% 217.67/140.26 (v84(constB80, 1) <=> v123(constB80, 1)),
% 217.67/140.26 inference(unit_resolution,[status(thm)],[1854, 2309])).
% 217.67/140.26 tff(2311,plain,
% 217.67/140.26 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.26 tff(2312,plain,
% 217.67/140.26 (((~v117(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B))))),
% 217.67/140.26 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2313,plain,
% 217.67/140.27 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2312])).
% 217.67/140.27 tff(2314,plain,
% 217.67/140.27 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B))))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2313, 2311])).
% 217.67/140.27 tff(2315,plain,
% 217.67/140.27 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2316,plain,
% 217.67/140.27 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2315, 2314])).
% 217.67/140.27 tff(2317,plain,
% 217.67/140.27 ((~v117(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2316, 2090])).
% 217.67/140.27 tff(2318,plain,
% 217.67/140.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2317, 2294])).
% 217.67/140.27 tff(2319,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 1) <=> b101(1)))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2320,plain,
% 217.67/140.27 (($false | $false | (v124(constB79, 1) <=> b101(1))) <=> (v124(constB79, 1) <=> b101(1))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2321,plain,
% 217.67/140.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b101(1))) <=> ($false | $false | (v124(constB79, 1) <=> b101(1)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.27 tff(2322,plain,
% 217.67/140.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b101(1))) <=> (v124(constB79, 1) <=> b101(1))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2321, 2320])).
% 217.67/140.27 tff(2323,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 1) <=> b101(1)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2322])).
% 217.67/140.27 tff(2324,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 1) <=> b101(1)))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2323, 2319])).
% 217.67/140.27 tff(2325,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b101(1)))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2326,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 1) <=> b101(1))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2325, 2324])).
% 217.67/140.27 tff(2327,plain,
% 217.67/140.27 (v124(constB79, 1) <=> b101(1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2326, 2318])).
% 217.67/140.27 tff(2328,plain,
% 217.67/140.27 ((~b101(1)) <=> (~b101(1))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2329,axiom,(~b101(1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_16')).
% 217.67/140.27 tff(2330,plain,
% 217.67/140.27 (~b101(1)),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2329, 2328])).
% 217.67/140.27 tff(2331,plain,
% 217.67/140.27 ((~(v124(constB79, 1) <=> b101(1))) | (~v124(constB79, 1)) | b101(1)),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2332,plain,
% 217.67/140.27 ((~(v124(constB79, 1) <=> b101(1))) | (~v124(constB79, 1))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2331, 2330])).
% 217.67/140.27 tff(2333,plain,
% 217.67/140.27 (~v124(constB79, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2332, 2327])).
% 217.67/140.27 tff(2334,plain,
% 217.67/140.27 ((~(v121(constB79, 1) <=> v124(constB79, 1))) | (~v121(constB79, 1))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1889, 2333])).
% 217.67/140.27 tff(2335,plain,
% 217.67/140.27 (~v121(constB79, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2334, 1873])).
% 217.67/140.27 tff(2336,plain,
% 217.67/140.27 ((~(v123(constB80, 1) <=> v121(constB79, 1))) | (~v123(constB80, 1))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1892, 2335])).
% 217.67/140.27 tff(2337,plain,
% 217.67/140.27 (~v123(constB80, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2336, 1864])).
% 217.67/140.27 tff(2338,plain,
% 217.67/140.27 ((~(v84(constB80, 1) <=> v123(constB80, 1))) | (~v84(constB80, 1))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1895, 2337])).
% 217.67/140.27 tff(2339,plain,
% 217.67/140.27 (~v84(constB80, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2338, 2310])).
% 217.67/140.27 tff(2340,plain,
% 217.67/140.27 ((~(v84(constB81, 1) <=> v84(constB80, 1))) | (~v84(constB81, 1))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1898, 2339])).
% 217.67/140.27 tff(2341,plain,
% 217.67/140.27 (~v84(constB81, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2340, 409])).
% 217.67/140.27 tff(2342,plain,
% 217.67/140.27 (v84(constB80, 2) <=> v123(constB80, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1717, 2309])).
% 217.67/140.27 tff(2343,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 2) <=> b101(2)))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2344,plain,
% 217.67/140.27 (($false | $false | (v124(constB79, 2) <=> b101(2))) <=> (v124(constB79, 2) <=> b101(2))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2345,plain,
% 217.67/140.27 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b101(2))) <=> ($false | $false | (v124(constB79, 2) <=> b101(2)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.27 tff(2346,plain,
% 217.67/140.27 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b101(2))) <=> (v124(constB79, 2) <=> b101(2))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2345, 2344])).
% 217.67/140.27 tff(2347,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 2) <=> b101(2)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2346])).
% 217.67/140.27 tff(2348,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 2) <=> b101(2)))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2347, 2343])).
% 217.67/140.27 tff(2349,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b101(2)))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2350,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 2) <=> b101(2))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2349, 2348])).
% 217.67/140.27 tff(2351,plain,
% 217.67/140.27 (v124(constB79, 2) <=> b101(2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2350, 2318])).
% 217.67/140.27 tff(2352,plain,
% 217.67/140.27 (b101(2) <=> b101(2)),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2353,axiom,(b101(2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_17')).
% 217.67/140.27 tff(2354,plain,
% 217.67/140.27 (b101(2)),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2353, 2352])).
% 217.67/140.27 tff(2355,plain,
% 217.67/140.27 ((~(v124(constB79, 2) <=> b101(2))) | v124(constB79, 2) | (~b101(2))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2356,plain,
% 217.67/140.27 ((~(v124(constB79, 2) <=> b101(2))) | v124(constB79, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2355, 2354])).
% 217.67/140.27 tff(2357,plain,
% 217.67/140.27 (v124(constB79, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2356, 2351])).
% 217.67/140.27 tff(2358,plain,
% 217.67/140.27 ((~(v121(constB79, 2) <=> v124(constB79, 2))) | v121(constB79, 2) | (~v124(constB79, 2))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2359,plain,
% 217.67/140.27 ((~(v121(constB79, 2) <=> v124(constB79, 2))) | v121(constB79, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2358, 2357])).
% 217.67/140.27 tff(2360,plain,
% 217.67/140.27 (v121(constB79, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2359, 1750])).
% 217.67/140.27 tff(2361,plain,
% 217.67/140.27 ((~(v123(constB80, 2) <=> v121(constB79, 2))) | v123(constB80, 2) | (~v121(constB79, 2))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2362,plain,
% 217.67/140.27 ((~(v123(constB80, 2) <=> v121(constB79, 2))) | v123(constB80, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2361, 2360])).
% 217.67/140.27 tff(2363,plain,
% 217.67/140.27 (v123(constB80, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2362, 1734])).
% 217.67/140.27 tff(2364,plain,
% 217.67/140.27 ((~(v84(constB80, 2) <=> v123(constB80, 2))) | v84(constB80, 2) | (~v123(constB80, 2))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2365,plain,
% 217.67/140.27 ((~(v84(constB80, 2) <=> v123(constB80, 2))) | v84(constB80, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2364, 2363])).
% 217.67/140.27 tff(2366,plain,
% 217.67/140.27 (v84(constB80, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2365, 2342])).
% 217.67/140.27 tff(2367,plain,
% 217.67/140.27 ((~(v84(constB81, 2) <=> v84(constB80, 2))) | v84(constB81, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[568, 2366])).
% 217.67/140.27 tff(2368,plain,
% 217.67/140.27 (v84(constB81, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2367, 541])).
% 217.67/140.27 tff(2369,plain,
% 217.67/140.27 (v84(constB80, 0) <=> v123(constB80, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1909, 2309])).
% 217.67/140.27 tff(2370,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 0) <=> b101(0)))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2371,plain,
% 217.67/140.27 (($false | $false | (v124(constB79, 0) <=> b101(0))) <=> (v124(constB79, 0) <=> b101(0))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2372,plain,
% 217.67/140.27 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b101(0))) <=> ($false | $false | (v124(constB79, 0) <=> b101(0)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.27 tff(2373,plain,
% 217.67/140.27 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b101(0))) <=> (v124(constB79, 0) <=> b101(0))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2372, 2371])).
% 217.67/140.27 tff(2374,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 0) <=> b101(0)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2373])).
% 217.67/140.27 tff(2375,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 0) <=> b101(0)))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2374, 2370])).
% 217.67/140.27 tff(2376,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b101(0)))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2377,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b101(B)))) | (v124(constB79, 0) <=> b101(0))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2376, 2375])).
% 217.67/140.27 tff(2378,plain,
% 217.67/140.27 (v124(constB79, 0) <=> b101(0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2377, 2318])).
% 217.67/140.27 tff(2379,plain,
% 217.67/140.27 ((~(v124(constB79, 0) <=> b101(0))) | v124(constB79, 0) | (~b101(0))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2380,plain,
% 217.67/140.27 ((~(v124(constB79, 0) <=> b101(0))) | v124(constB79, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2379, 2042])).
% 217.67/140.27 tff(2381,plain,
% 217.67/140.27 (v124(constB79, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2380, 2378])).
% 217.67/140.27 tff(2382,plain,
% 217.67/140.27 ((~(v121(constB79, 0) <=> v124(constB79, 0))) | v121(constB79, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1944, 2381])).
% 217.67/140.27 tff(2383,plain,
% 217.67/140.27 (v121(constB79, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2382, 1928])).
% 217.67/140.27 tff(2384,plain,
% 217.67/140.27 ((~(v123(constB80, 0) <=> v121(constB79, 0))) | v123(constB80, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1947, 2383])).
% 217.67/140.27 tff(2385,plain,
% 217.67/140.27 (v123(constB80, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2384, 1919])).
% 217.67/140.27 tff(2386,plain,
% 217.67/140.27 ((~(v84(constB80, 0) <=> v123(constB80, 0))) | v84(constB80, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1950, 2385])).
% 217.67/140.27 tff(2387,plain,
% 217.67/140.27 (v84(constB80, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2386, 2369])).
% 217.67/140.27 tff(2388,plain,
% 217.67/140.27 ((~(v84(constB81, 0) <=> v84(constB80, 0))) | v84(constB81, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[374, 2387])).
% 217.67/140.27 tff(2389,plain,
% 217.67/140.27 (v84(constB81, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2388, 1901])).
% 217.67/140.27 tff(2390,plain,
% 217.67/140.27 ((~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))) | v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2391,plain,
% 217.67/140.27 ($false),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2390, 2389, 2368, 2341, 1211])).
% 217.67/140.27 tff(2392,plain,(v84(constB78, 0) | (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))) | (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))) | (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.27 tff(2393,plain,
% 217.67/140.27 ($false),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2392, 1210, 1208, 1205, 1204])).
% 217.67/140.27 tff(2394,plain,(v84(constB81, 0) | (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))) | v84(constB78, 0)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.27 tff(2395,plain,
% 217.67/140.27 (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2394, 1156, 1203])).
% 217.67/140.27 tff(2396,assumption,(~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))), introduced(assumption)).
% 217.67/140.27 tff(2397,plain,
% 217.67/140.27 ((~(v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))))) | v114(constB77) | (v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2398,plain,
% 217.67/140.27 ((~(v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))))) | v114(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2397, 2396])).
% 217.67/140.27 tff(2399,plain,
% 217.67/140.27 (v114(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2398, 2177])).
% 217.67/140.27 tff(2400,plain,
% 217.67/140.27 (^[VarCurr: state_type] : refl(((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.27 inference(bind,[status(th)],[])).
% 217.67/140.27 tff(2401,plain,
% 217.67/140.27 (![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.27 inference(quant_intro,[status(thm)],[2400])).
% 217.67/140.27 tff(2402,plain,
% 217.67/140.27 (^[VarCurr: state_type] : rewrite(((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.27 inference(bind,[status(th)],[])).
% 217.67/140.27 tff(2403,plain,
% 217.67/140.27 (![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.27 inference(quant_intro,[status(thm)],[2402])).
% 217.67/140.27 tff(2404,plain,
% 217.67/140.27 (![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2403, 2401])).
% 217.67/140.27 tff(2405,plain,
% 217.67/140.27 (^[VarCurr: state_type] : rewrite(((~v114(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b010(B)))) <=> ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))))),
% 217.67/140.27 inference(bind,[status(th)],[])).
% 217.67/140.27 tff(2406,plain,
% 217.67/140.27 (![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.27 inference(quant_intro,[status(thm)],[2405])).
% 217.67/140.27 tff(2407,plain,
% 217.67/140.27 (^[VarCurr: state_type] : rewrite(((~v114(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B)))) <=> ((~v114(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b010(B)))))),
% 217.67/140.27 inference(bind,[status(th)],[])).
% 217.67/140.27 tff(2408,plain,
% 217.67/140.27 (![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b010(B))))),
% 217.67/140.27 inference(quant_intro,[status(thm)],[2407])).
% 217.67/140.27 tff(2409,plain,
% 217.67/140.27 (![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B))))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2410,plain,
% 217.67/140.27 (^[VarCurr: state_type] : trans(monotonicity(quant_intro(proof_bind(^[B: $int] : trans(monotonicity(rewrite(($less(B, 3) & (~$less(B, 0))) <=> ((~$lesseq(3, B)) & $lesseq(0, B))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b010(B))) <=> (((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b010(B))))), rewrite((((~$lesseq(3, B)) & $lesseq(0, B)) => (v124(VarCurr, B) <=> b010(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B)))), ((($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b010(B))) <=> ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B)))))), (![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b010(B))) <=> ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B))))), ((v114(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b010(B)))) <=> (v114(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B)))))), rewrite((v114(VarCurr) => ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B)))) <=> ((~v114(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B))))), ((v114(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b010(B)))) <=> ((~v114(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B))))))),
% 217.67/140.27 inference(bind,[status(th)],[])).
% 217.67/140.27 tff(2411,plain,
% 217.67/140.27 (![VarCurr: state_type] : (v114(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B))))),
% 217.67/140.27 inference(quant_intro,[status(thm)],[2410])).
% 217.67/140.27 tff(2412,axiom,(![VarCurr: state_type] : (v114(VarCurr) => ![B: $int] : (($less(B, 3) & (~$less(B, 0))) => (v124(VarCurr, B) <=> b010(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1')).
% 217.67/140.27 tff(2413,plain,
% 217.67/140.27 (![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B))))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2412, 2411])).
% 217.67/140.27 tff(2414,plain,
% 217.67/140.27 (![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((~((~$lesseq(3, B)) & $lesseq(0, B))) | (v124(VarCurr, B) <=> b010(B))))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2413, 2409])).
% 217.67/140.27 tff(2415,plain,
% 217.67/140.27 (![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b010(B))))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2414, 2408])).
% 217.67/140.27 tff(2416,plain,(
% 217.67/140.27 ![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((~((~$greatereq(B, 3)) & $greatereq(B, 0))) | (v124(VarCurr, B) <=> b010(B))))),
% 217.67/140.27 inference(skolemize,[status(sab)],[2415])).
% 217.67/140.27 tff(2417,plain,
% 217.67/140.27 (![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2416, 2406])).
% 217.67/140.27 tff(2418,plain,
% 217.67/140.27 (![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2417, 2404])).
% 217.67/140.27 tff(2419,plain,
% 217.67/140.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B))))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2420,plain,
% 217.67/140.27 (((~v114(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B))))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2421,plain,
% 217.67/140.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2420])).
% 217.67/140.27 tff(2422,plain,
% 217.67/140.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B))))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2421, 2419])).
% 217.67/140.27 tff(2423,plain,
% 217.67/140.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB77)) | ![B: $int] : ((v124(constB77, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2424,plain,
% 217.67/140.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2423, 2422])).
% 217.67/140.27 tff(2425,plain,
% 217.67/140.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2424, 2418, 2399])).
% 217.67/140.27 tff(2426,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 0) <=> b010(0)))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2427,plain,
% 217.67/140.27 (($false | $false | (v124(constB77, 0) <=> b010(0))) <=> (v124(constB77, 0) <=> b010(0))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2428,plain,
% 217.67/140.27 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b010(0))) <=> ($false | $false | (v124(constB77, 0) <=> b010(0)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.27 tff(2429,plain,
% 217.67/140.27 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b010(0))) <=> (v124(constB77, 0) <=> b010(0))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2428, 2427])).
% 217.67/140.27 tff(2430,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 0) <=> b010(0)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2429])).
% 217.67/140.27 tff(2431,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 0) <=> b010(0)))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2430, 2426])).
% 217.67/140.27 tff(2432,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b010(0)))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2433,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 0) <=> b010(0))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 217.67/140.27 tff(2434,plain,
% 217.67/140.27 (v124(constB77, 0) <=> b010(0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2433, 2425])).
% 217.67/140.27 tff(2435,plain,
% 217.67/140.27 ((~b010(0)) <=> (~b010(0))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2436,axiom,(~b010(0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_6')).
% 217.67/140.27 tff(2437,plain,
% 217.67/140.27 (~b010(0)),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2436, 2435])).
% 217.67/140.27 tff(2438,plain,
% 217.67/140.27 ((~(v124(constB77, 0) <=> b010(0))) | (~v124(constB77, 0)) | b010(0)),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2439,plain,
% 217.67/140.27 ((~(v124(constB77, 0) <=> b010(0))) | (~v124(constB77, 0))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2438, 2437])).
% 217.67/140.27 tff(2440,plain,
% 217.67/140.27 (~v124(constB77, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2439, 2434])).
% 217.67/140.27 tff(2441,plain,
% 217.67/140.27 ((~(v121(constB77, 0) <=> v124(constB77, 0))) | (~v121(constB77, 0)) | v124(constB77, 0)),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2442,plain,
% 217.67/140.27 ((~(v121(constB77, 0) <=> v124(constB77, 0))) | (~v121(constB77, 0))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2441, 2440])).
% 217.67/140.27 tff(2443,plain,
% 217.67/140.27 (~v121(constB77, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2442, 1994])).
% 217.67/140.27 tff(2444,plain,
% 217.67/140.27 ((v113(constB77) | v114(constB77)) | (~v114(constB77))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2445,plain,
% 217.67/140.27 (v113(constB77) | v114(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2444, 2399])).
% 217.67/140.27 tff(2446,plain,
% 217.67/140.27 ((~(v112(constB77) <=> (v113(constB77) | v114(constB77)))) | v112(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1420, 2445])).
% 217.67/140.27 tff(2447,plain,
% 217.67/140.27 (v112(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2446, 1404])).
% 217.67/140.27 tff(2448,plain,
% 217.67/140.27 (v112(constB77) | v115(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1418, 2447])).
% 217.67/140.27 tff(2449,plain,
% 217.67/140.27 (v111(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1415, 2448, 1406])).
% 217.67/140.27 tff(2450,plain,
% 217.67/140.27 (v111(constB77) | v116(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1413, 2449])).
% 217.67/140.27 tff(2451,plain,
% 217.67/140.27 (v110(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1410, 2450, 1408])).
% 217.67/140.27 tff(2452,plain,
% 217.67/140.27 (v110(constB77) | v117(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1399, 2451])).
% 217.67/140.27 tff(2453,plain,
% 217.67/140.27 (v109(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1397, 2452, 1387])).
% 217.67/140.27 tff(2454,plain,
% 217.67/140.27 (v109(constB77) | v118(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1395, 2453])).
% 217.67/140.27 tff(2455,plain,
% 217.67/140.27 (v108(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1392, 2454, 1389])).
% 217.67/140.27 tff(2456,plain,
% 217.67/140.27 (v108(constB77) | v119(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1390, 2455])).
% 217.67/140.27 tff(2457,plain,
% 217.67/140.27 (v107(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1316, 2456, 1236])).
% 217.67/140.27 tff(2458,plain,
% 217.67/140.27 (~((~v107(constB77)) | (~v120(constB77)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1314, 2457])).
% 217.67/140.27 tff(2459,plain,
% 217.67/140.27 (v106(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1299, 2458])).
% 217.67/140.27 tff(2460,plain,
% 217.67/140.27 (v105(constB77) | v106(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1294, 2459])).
% 217.67/140.27 tff(2461,plain,
% 217.67/140.27 (v102(constB77)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1292, 2460])).
% 217.67/140.27 tff(2462,plain,
% 217.67/140.27 (v104(constB78)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1287, 2461])).
% 217.67/140.27 tff(2463,plain,
% 217.67/140.27 (~((~v95(constB78)) | (~v104(constB78)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1280, 2462])).
% 217.67/140.27 tff(2464,plain,
% 217.67/140.27 (v94(constB78)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1246, 2463])).
% 217.67/140.27 tff(2465,plain,
% 217.67/140.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1498, 2464])).
% 217.67/140.27 tff(2466,plain,
% 217.67/140.27 (v84(constB78, 0) <=> v123(constB78, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2011, 2465])).
% 217.67/140.27 tff(2467,assumption,(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))), introduced(assumption)).
% 217.67/140.27 tff(2468,plain,
% 217.67/140.27 ((v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))) | v84(constB77, 0)),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2469,plain,
% 217.67/140.27 (v84(constB77, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2468, 2396])).
% 217.67/140.27 tff(2470,plain,
% 217.67/140.27 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1384, 1204, 2469])).
% 217.67/140.27 tff(2471,plain,
% 217.67/140.27 (v94(constB78)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1369, 2470])).
% 217.67/140.27 tff(2472,plain,
% 217.67/140.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1498, 2471])).
% 217.67/140.27 tff(2473,plain,
% 217.67/140.27 (v84(constB78, 2) <=> v123(constB78, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1507, 2472])).
% 217.67/140.27 tff(2474,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 2) <=> b010(2)))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2475,plain,
% 217.67/140.27 (($false | $false | (v124(constB77, 2) <=> b010(2))) <=> (v124(constB77, 2) <=> b010(2))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2476,plain,
% 217.67/140.27 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b010(2))) <=> ($false | $false | (v124(constB77, 2) <=> b010(2)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.27 tff(2477,plain,
% 217.67/140.27 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b010(2))) <=> (v124(constB77, 2) <=> b010(2))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2476, 2475])).
% 217.67/140.27 tff(2478,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 2) <=> b010(2)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2477])).
% 217.67/140.27 tff(2479,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 2) <=> b010(2)))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2478, 2474])).
% 217.67/140.27 tff(2480,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b010(2)))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2481,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 2) <=> b010(2))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 217.67/140.27 tff(2482,plain,
% 217.67/140.27 (v124(constB77, 2) <=> b010(2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2481, 2425])).
% 217.67/140.27 tff(2483,plain,
% 217.67/140.27 ((~b010(2)) <=> (~b010(2))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2484,axiom,(~b010(2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_8')).
% 217.67/140.27 tff(2485,plain,
% 217.67/140.27 (~b010(2)),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2484, 2483])).
% 217.67/140.27 tff(2486,plain,
% 217.67/140.27 ((~(v124(constB77, 2) <=> b010(2))) | (~v124(constB77, 2)) | b010(2)),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2487,plain,
% 217.67/140.27 ((~(v124(constB77, 2) <=> b010(2))) | (~v124(constB77, 2))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2486, 2485])).
% 217.67/140.27 tff(2488,plain,
% 217.67/140.27 (~v124(constB77, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2487, 2482])).
% 217.67/140.27 tff(2489,plain,
% 217.67/140.27 ((~(v121(constB77, 2) <=> v124(constB77, 2))) | (~v121(constB77, 2)) | v124(constB77, 2)),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2490,plain,
% 217.67/140.27 ((~(v121(constB77, 2) <=> v124(constB77, 2))) | (~v121(constB77, 2))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2489, 2488])).
% 217.67/140.27 tff(2491,plain,
% 217.67/140.27 (~v121(constB77, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2490, 1578])).
% 217.67/140.27 tff(2492,plain,
% 217.67/140.27 ((~(v123(constB78, 2) <=> v121(constB77, 2))) | (~v123(constB78, 2)) | v121(constB77, 2)),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2493,plain,
% 217.67/140.27 ((~(v123(constB78, 2) <=> v121(constB77, 2))) | (~v123(constB78, 2))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2492, 2491])).
% 217.67/140.27 tff(2494,plain,
% 217.67/140.27 (~v123(constB78, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2493, 1543])).
% 217.67/140.27 tff(2495,plain,
% 217.67/140.27 ((~(v84(constB78, 2) <=> v123(constB78, 2))) | (~v84(constB78, 2)) | v123(constB78, 2)),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2496,plain,
% 217.67/140.27 ((~(v84(constB78, 2) <=> v123(constB78, 2))) | (~v84(constB78, 2))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2495, 2494])).
% 217.67/140.27 tff(2497,plain,
% 217.67/140.27 (~v84(constB78, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2496, 2473])).
% 217.67/140.27 tff(2498,plain,
% 217.67/140.27 ((~(v84(constB79, 2) <=> v84(constB78, 2))) | (~v84(constB79, 2)) | v84(constB78, 2)),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2499,plain,
% 217.67/140.27 ((~(v84(constB79, 2) <=> v84(constB78, 2))) | (~v84(constB79, 2))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2498, 2497])).
% 217.67/140.27 tff(2500,plain,
% 217.67/140.27 (~v84(constB79, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2499, 1227])).
% 217.67/140.27 tff(2501,plain,
% 217.67/140.27 (v84(constB78, 1) <=> v123(constB78, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1631, 2472])).
% 217.67/140.27 tff(2502,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 1) <=> b010(1)))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2503,plain,
% 217.67/140.27 (($false | $false | (v124(constB77, 1) <=> b010(1))) <=> (v124(constB77, 1) <=> b010(1))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2504,plain,
% 217.67/140.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b010(1))) <=> ($false | $false | (v124(constB77, 1) <=> b010(1)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.27 tff(2505,plain,
% 217.67/140.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b010(1))) <=> (v124(constB77, 1) <=> b010(1))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2504, 2503])).
% 217.67/140.27 tff(2506,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 1) <=> b010(1)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2505])).
% 217.67/140.27 tff(2507,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 1) <=> b010(1)))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2506, 2502])).
% 217.67/140.27 tff(2508,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b010(1)))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2509,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))) | (v124(constB77, 1) <=> b010(1))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2508, 2507])).
% 217.67/140.27 tff(2510,plain,
% 217.67/140.27 (v124(constB77, 1) <=> b010(1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2509, 2425])).
% 217.67/140.27 tff(2511,plain,
% 217.67/140.27 (b010(1) <=> b010(1)),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2512,axiom,(b010(1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_7')).
% 217.67/140.27 tff(2513,plain,
% 217.67/140.27 (b010(1)),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2512, 2511])).
% 217.67/140.27 tff(2514,plain,
% 217.67/140.27 ((~(v124(constB77, 1) <=> b010(1))) | v124(constB77, 1) | (~b010(1))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2515,plain,
% 217.67/140.27 ((~(v124(constB77, 1) <=> b010(1))) | v124(constB77, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2514, 2513])).
% 217.67/140.27 tff(2516,plain,
% 217.67/140.27 (v124(constB77, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2515, 2510])).
% 217.67/140.27 tff(2517,plain,
% 217.67/140.27 ((~(v121(constB77, 1) <=> v124(constB77, 1))) | v121(constB77, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1666, 2516])).
% 217.67/140.27 tff(2518,plain,
% 217.67/140.27 (v121(constB77, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2517, 1650])).
% 217.67/140.27 tff(2519,plain,
% 217.67/140.27 ((~(v123(constB78, 1) <=> v121(constB77, 1))) | v123(constB78, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1669, 2518])).
% 217.67/140.27 tff(2520,plain,
% 217.67/140.27 (v123(constB78, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2519, 1641])).
% 217.67/140.27 tff(2521,plain,
% 217.67/140.27 ((~(v84(constB78, 1) <=> v123(constB78, 1))) | v84(constB78, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1672, 2520])).
% 217.67/140.27 tff(2522,plain,
% 217.67/140.27 (v84(constB78, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2521, 2501])).
% 217.67/140.27 tff(2523,plain,
% 217.67/140.27 ((~(v84(constB79, 1) <=> v84(constB78, 1))) | v84(constB79, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1675, 2522])).
% 217.67/140.27 tff(2524,plain,
% 217.67/140.27 (v84(constB79, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2523, 1623])).
% 217.67/140.27 tff(2525,plain,
% 217.67/140.27 ((~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))) | v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2526,plain,
% 217.67/140.27 ((~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))) | v84(constB79, 2) | (~v84(constB79, 1))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2525, 1583])).
% 217.67/140.27 tff(2527,plain,
% 217.67/140.27 (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2526, 2524, 2500])).
% 217.67/140.27 tff(2528,plain,
% 217.67/140.27 ((~(v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))) | v115(constB79) | (v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2529,plain,
% 217.67/140.27 (v115(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2528, 2527, 1767])).
% 217.67/140.27 tff(2530,plain,
% 217.67/140.27 ((v112(constB79) | v115(constB79)) | (~v115(constB79))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2531,plain,
% 217.67/140.27 (v112(constB79) | v115(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2530, 2529])).
% 217.67/140.27 tff(2532,plain,
% 217.67/140.27 (v111(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[471, 2531, 447])).
% 217.67/140.27 tff(2533,plain,
% 217.67/140.27 (v111(constB79) | v116(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[469, 2532])).
% 217.67/140.27 tff(2534,plain,
% 217.67/140.27 (v110(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[466, 2533, 449])).
% 217.67/140.27 tff(2535,plain,
% 217.67/140.27 (v110(constB79) | v117(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[464, 2534])).
% 217.67/140.27 tff(2536,plain,
% 217.67/140.27 (v109(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[461, 2535, 458])).
% 217.67/140.27 tff(2537,plain,
% 217.67/140.27 (v109(constB79) | v118(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[459, 2536])).
% 217.67/140.27 tff(2538,plain,
% 217.67/140.27 (v108(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[433, 2537])).
% 217.67/140.27 tff(2539,plain,
% 217.67/140.27 (v108(constB79) | v119(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[419, 2538])).
% 217.67/140.27 tff(2540,plain,
% 217.67/140.27 (v107(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[192, 2539])).
% 217.67/140.27 tff(2541,plain,
% 217.67/140.27 (~((~v107(constB79)) | (~v120(constB79)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[178, 2540])).
% 217.67/140.27 tff(2542,plain,
% 217.67/140.27 (v106(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[136, 2541])).
% 217.67/140.27 tff(2543,plain,
% 217.67/140.27 (v105(constB79) | v106(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[121, 2542])).
% 217.67/140.27 tff(2544,plain,
% 217.67/140.27 (v102(constB79)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[119, 2543])).
% 217.67/140.27 tff(2545,plain,
% 217.67/140.27 (v104(constB80)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[107, 2544])).
% 217.67/140.27 tff(2546,plain,
% 217.67/140.27 (~((~v95(constB80)) | (~v104(constB80)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[90, 2545])).
% 217.67/140.27 tff(2547,plain,
% 217.67/140.27 (v94(constB80)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[23, 2546])).
% 217.67/140.27 tff(2548,plain,
% 217.67/140.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1708, 2547])).
% 217.67/140.27 tff(2549,plain,
% 217.67/140.27 (v84(constB80, 2) <=> v123(constB80, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1717, 2548])).
% 217.67/140.27 tff(2550,plain,
% 217.67/140.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B))))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2551,plain,
% 217.67/140.27 (((~v115(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B))))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2552,plain,
% 217.67/140.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2551])).
% 217.67/140.27 tff(2553,plain,
% 217.67/140.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B))))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2552, 2550])).
% 217.67/140.27 tff(2554,plain,
% 217.67/140.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2555,plain,
% 217.67/140.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2554, 2553])).
% 217.67/140.27 tff(2556,plain,
% 217.67/140.27 ((~v115(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2555, 2144])).
% 217.67/140.27 tff(2557,plain,
% 217.67/140.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2556, 2529])).
% 217.67/140.27 tff(2558,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 2) <=> b011(2)))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2559,plain,
% 217.67/140.27 (($false | $false | (v124(constB79, 2) <=> b011(2))) <=> (v124(constB79, 2) <=> b011(2))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2560,plain,
% 217.67/140.27 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b011(2))) <=> ($false | $false | (v124(constB79, 2) <=> b011(2)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.27 tff(2561,plain,
% 217.67/140.27 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b011(2))) <=> (v124(constB79, 2) <=> b011(2))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2560, 2559])).
% 217.67/140.27 tff(2562,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 2) <=> b011(2)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2561])).
% 217.67/140.27 tff(2563,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 2) <=> b011(2)))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2562, 2558])).
% 217.67/140.27 tff(2564,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b011(2)))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2565,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 2) <=> b011(2))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 217.67/140.27 tff(2566,plain,
% 217.67/140.27 (v124(constB79, 2) <=> b011(2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2565, 2557])).
% 217.67/140.27 tff(2567,plain,
% 217.67/140.27 ((~b011(2)) <=> (~b011(2))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2568,axiom,(~b011(2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_11')).
% 217.67/140.27 tff(2569,plain,
% 217.67/140.27 (~b011(2)),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2568, 2567])).
% 217.67/140.27 tff(2570,plain,
% 217.67/140.27 ((~(v124(constB79, 2) <=> b011(2))) | (~v124(constB79, 2)) | b011(2)),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2571,plain,
% 217.67/140.27 ((~(v124(constB79, 2) <=> b011(2))) | (~v124(constB79, 2))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2570, 2569])).
% 217.67/140.27 tff(2572,plain,
% 217.67/140.27 (~v124(constB79, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2571, 2566])).
% 217.67/140.27 tff(2573,plain,
% 217.67/140.27 ((~(v121(constB79, 2) <=> v124(constB79, 2))) | (~v121(constB79, 2))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1835, 2572])).
% 217.67/140.27 tff(2574,plain,
% 217.67/140.27 (~v121(constB79, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2573, 1750])).
% 217.67/140.27 tff(2575,plain,
% 217.67/140.27 ((~(v123(constB80, 2) <=> v121(constB79, 2))) | (~v123(constB80, 2))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1838, 2574])).
% 217.67/140.27 tff(2576,plain,
% 217.67/140.27 (~v123(constB80, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2575, 1734])).
% 217.67/140.27 tff(2577,plain,
% 217.67/140.27 ((~(v84(constB80, 2) <=> v123(constB80, 2))) | (~v84(constB80, 2))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1841, 2576])).
% 217.67/140.27 tff(2578,plain,
% 217.67/140.27 (~v84(constB80, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2577, 2549])).
% 217.67/140.27 tff(2579,plain,
% 217.67/140.27 ((~(v84(constB81, 2) <=> v84(constB80, 2))) | (~v84(constB81, 2))),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1844, 2578])).
% 217.67/140.27 tff(2580,plain,
% 217.67/140.27 (~v84(constB81, 2)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2579, 541])).
% 217.67/140.27 tff(2581,plain,
% 217.67/140.27 (v84(constB80, 1) <=> v123(constB80, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1854, 2548])).
% 217.67/140.27 tff(2582,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 1) <=> b011(1)))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2583,plain,
% 217.67/140.27 (($false | $false | (v124(constB79, 1) <=> b011(1))) <=> (v124(constB79, 1) <=> b011(1))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2584,plain,
% 217.67/140.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b011(1))) <=> ($false | $false | (v124(constB79, 1) <=> b011(1)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.27 tff(2585,plain,
% 217.67/140.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b011(1))) <=> (v124(constB79, 1) <=> b011(1))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2584, 2583])).
% 217.67/140.27 tff(2586,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 1) <=> b011(1)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2585])).
% 217.67/140.27 tff(2587,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 1) <=> b011(1)))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2586, 2582])).
% 217.67/140.27 tff(2588,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b011(1)))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2589,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 1) <=> b011(1))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2588, 2587])).
% 217.67/140.27 tff(2590,plain,
% 217.67/140.27 (v124(constB79, 1) <=> b011(1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2589, 2557])).
% 217.67/140.27 tff(2591,plain,
% 217.67/140.27 (b011(1) <=> b011(1)),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2592,axiom,(b011(1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_10')).
% 217.67/140.27 tff(2593,plain,
% 217.67/140.27 (b011(1)),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2592, 2591])).
% 217.67/140.27 tff(2594,plain,
% 217.67/140.27 ((~(v124(constB79, 1) <=> b011(1))) | v124(constB79, 1) | (~b011(1))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2595,plain,
% 217.67/140.27 ((~(v124(constB79, 1) <=> b011(1))) | v124(constB79, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2594, 2593])).
% 217.67/140.27 tff(2596,plain,
% 217.67/140.27 (v124(constB79, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2595, 2590])).
% 217.67/140.27 tff(2597,plain,
% 217.67/140.27 ((~(v121(constB79, 1) <=> v124(constB79, 1))) | v121(constB79, 1) | (~v124(constB79, 1))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2598,plain,
% 217.67/140.27 ((~(v121(constB79, 1) <=> v124(constB79, 1))) | v121(constB79, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2597, 2596])).
% 217.67/140.27 tff(2599,plain,
% 217.67/140.27 (v121(constB79, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2598, 1873])).
% 217.67/140.27 tff(2600,plain,
% 217.67/140.27 ((~(v123(constB80, 1) <=> v121(constB79, 1))) | v123(constB80, 1) | (~v121(constB79, 1))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2601,plain,
% 217.67/140.27 ((~(v123(constB80, 1) <=> v121(constB79, 1))) | v123(constB80, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2600, 2599])).
% 217.67/140.27 tff(2602,plain,
% 217.67/140.27 (v123(constB80, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2601, 1864])).
% 217.67/140.27 tff(2603,plain,
% 217.67/140.27 ((~(v84(constB80, 1) <=> v123(constB80, 1))) | v84(constB80, 1) | (~v123(constB80, 1))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.27 tff(2604,plain,
% 217.67/140.27 ((~(v84(constB80, 1) <=> v123(constB80, 1))) | v84(constB80, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2603, 2602])).
% 217.67/140.27 tff(2605,plain,
% 217.67/140.27 (v84(constB80, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2604, 2581])).
% 217.67/140.27 tff(2606,plain,
% 217.67/140.27 ((~(v84(constB81, 1) <=> v84(constB80, 1))) | v84(constB81, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[498, 2605])).
% 217.67/140.27 tff(2607,plain,
% 217.67/140.27 (v84(constB81, 1)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2606, 409])).
% 217.67/140.27 tff(2608,plain,
% 217.67/140.27 (v84(constB80, 0) <=> v123(constB80, 0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[1909, 2548])).
% 217.67/140.27 tff(2609,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 0) <=> b011(0)))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2610,plain,
% 217.67/140.27 (($false | $false | (v124(constB79, 0) <=> b011(0))) <=> (v124(constB79, 0) <=> b011(0))),
% 217.67/140.27 inference(rewrite,[status(thm)],[])).
% 217.67/140.27 tff(2611,plain,
% 217.67/140.27 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b011(0))) <=> ($false | $false | (v124(constB79, 0) <=> b011(0)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.27 tff(2612,plain,
% 217.67/140.27 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b011(0))) <=> (v124(constB79, 0) <=> b011(0))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2611, 2610])).
% 217.67/140.27 tff(2613,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 0) <=> b011(0)))),
% 217.67/140.27 inference(monotonicity,[status(thm)],[2612])).
% 217.67/140.27 tff(2614,plain,
% 217.67/140.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 0) <=> b011(0)))),
% 217.67/140.27 inference(transitivity,[status(thm)],[2613, 2609])).
% 217.67/140.27 tff(2615,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b011(0)))),
% 217.67/140.27 inference(quant_inst,[status(thm)],[])).
% 217.67/140.27 tff(2616,plain,
% 217.67/140.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | (v124(constB79, 0) <=> b011(0))),
% 217.67/140.27 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 217.67/140.27 tff(2617,plain,
% 217.67/140.27 (v124(constB79, 0) <=> b011(0)),
% 217.67/140.27 inference(unit_resolution,[status(thm)],[2616, 2557])).
% 217.67/140.27 tff(2618,plain,
% 217.67/140.27 ((~(v124(constB79, 0) <=> b011(0))) | v124(constB79, 0) | (~b011(0))),
% 217.67/140.27 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2619,plain,
% 217.67/140.28 ((~(v124(constB79, 0) <=> b011(0))) | v124(constB79, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2618, 2025])).
% 217.67/140.28 tff(2620,plain,
% 217.67/140.28 (v124(constB79, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2619, 2617])).
% 217.67/140.28 tff(2621,plain,
% 217.67/140.28 ((~(v121(constB79, 0) <=> v124(constB79, 0))) | v121(constB79, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[1944, 2620])).
% 217.67/140.28 tff(2622,plain,
% 217.67/140.28 (v121(constB79, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2621, 1928])).
% 217.67/140.28 tff(2623,plain,
% 217.67/140.28 ((~(v123(constB80, 0) <=> v121(constB79, 0))) | v123(constB80, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[1947, 2622])).
% 217.67/140.28 tff(2624,plain,
% 217.67/140.28 (v123(constB80, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2623, 1919])).
% 217.67/140.28 tff(2625,plain,
% 217.67/140.28 ((~(v84(constB80, 0) <=> v123(constB80, 0))) | v84(constB80, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[1950, 2624])).
% 217.67/140.28 tff(2626,plain,
% 217.67/140.28 (v84(constB80, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2625, 2608])).
% 217.67/140.28 tff(2627,plain,
% 217.67/140.28 ((~(v84(constB81, 0) <=> v84(constB80, 0))) | v84(constB81, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[374, 2626])).
% 217.67/140.28 tff(2628,plain,
% 217.67/140.28 (v84(constB81, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2627, 1901])).
% 217.67/140.28 tff(2629,plain,
% 217.67/140.28 ((~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))) | v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2630,plain,
% 217.67/140.28 ($false),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2629, 2628, 2607, 2580, 2467])).
% 217.67/140.28 tff(2631,plain,(v84(constB78, 0) | (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))) | (v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.28 tff(2632,plain,
% 217.67/140.28 (v84(constB78, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2631, 2396, 2467])).
% 217.67/140.28 tff(2633,plain,
% 217.67/140.28 ((~(v84(constB78, 0) <=> v123(constB78, 0))) | (~v84(constB78, 0)) | v123(constB78, 0)),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2634,plain,
% 217.67/140.28 ((~(v84(constB78, 0) <=> v123(constB78, 0))) | v123(constB78, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2633, 2632])).
% 217.67/140.28 tff(2635,plain,
% 217.67/140.28 (v123(constB78, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2634, 2466])).
% 217.67/140.28 tff(2636,plain,
% 217.67/140.28 ((~(v123(constB78, 0) <=> v121(constB77, 0))) | (~v123(constB78, 0)) | v121(constB77, 0)),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2637,plain,
% 217.67/140.28 ((~(v123(constB78, 0) <=> v121(constB77, 0))) | v121(constB77, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2636, 2635])).
% 217.67/140.28 tff(2638,plain,
% 217.67/140.28 ($false),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2637, 2443, 2003])).
% 217.67/140.28 tff(2639,plain,((v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))) | (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.28 tff(2640,plain,
% 217.67/140.28 ($false),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2639, 2395, 1158])).
% 217.67/140.28 tff(2641,plain,((v108(constB79) | v119(constB79)) | (~(v108(constB83) | v119(constB83)))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.28 tff(2642,plain,
% 217.67/140.28 (~(v108(constB83) | v119(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2641, 193])).
% 217.67/140.28 tff(2643,assumption,(~(v121(constB81, 0) <=> v124(constB81, 0))), introduced(assumption)).
% 217.67/140.28 tff(2644,plain,
% 217.67/140.28 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B))))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2645,plain,
% 217.67/140.28 ((v105(constB81) | ![B: $int] : ((v121(constB81, B) <=> v124(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B))))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2646,plain,
% 217.67/140.28 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB81) | ![B: $int] : ((v121(constB81, B) <=> v124(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))))),
% 217.67/140.28 inference(monotonicity,[status(thm)],[2645])).
% 217.67/140.28 tff(2647,plain,
% 217.67/140.28 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB81) | ![B: $int] : ((v121(constB81, B) <=> v124(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B))))),
% 217.67/140.28 inference(transitivity,[status(thm)],[2646, 2644])).
% 217.67/140.28 tff(2648,plain,
% 217.67/140.28 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB81) | ![B: $int] : ((v121(constB81, B) <=> v124(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2649,plain,
% 217.67/140.28 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))),
% 217.67/140.28 inference(modus_ponens,[status(thm)],[2648, 2647])).
% 217.67/140.28 tff(2650,plain,
% 217.67/140.28 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2649, 1562, 705])).
% 217.67/140.28 tff(2651,plain,
% 217.67/140.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 0) <=> v124(constB81, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 0) <=> v124(constB81, 0)))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2652,plain,
% 217.67/140.28 (($false | $false | (v121(constB81, 0) <=> v124(constB81, 0))) <=> (v121(constB81, 0) <=> v124(constB81, 0))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2653,plain,
% 217.67/140.28 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB81, 0) <=> v124(constB81, 0))) <=> ($false | $false | (v121(constB81, 0) <=> v124(constB81, 0)))),
% 217.67/140.28 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.28 tff(2654,plain,
% 217.67/140.28 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB81, 0) <=> v124(constB81, 0))) <=> (v121(constB81, 0) <=> v124(constB81, 0))),
% 217.67/140.28 inference(transitivity,[status(thm)],[2653, 2652])).
% 217.67/140.28 tff(2655,plain,
% 217.67/140.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB81, 0) <=> v124(constB81, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 0) <=> v124(constB81, 0)))),
% 217.67/140.28 inference(monotonicity,[status(thm)],[2654])).
% 217.67/140.28 tff(2656,plain,
% 217.67/140.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB81, 0) <=> v124(constB81, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 0) <=> v124(constB81, 0)))),
% 217.67/140.28 inference(transitivity,[status(thm)],[2655, 2651])).
% 217.67/140.28 tff(2657,plain,
% 217.67/140.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB81, 0) <=> v124(constB81, 0)))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2658,plain,
% 217.67/140.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 0) <=> v124(constB81, 0))),
% 217.67/140.28 inference(modus_ponens,[status(thm)],[2657, 2656])).
% 217.67/140.28 tff(2659,plain,
% 217.67/140.28 ($false),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2658, 2650, 2643])).
% 217.67/140.28 tff(2660,plain,(v121(constB81, 0) <=> v124(constB81, 0)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.28 tff(2661,assumption,(~(v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))))), introduced(assumption)).
% 217.67/140.28 tff(2662,plain,
% 217.67/140.28 ($false),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[527, 521, 2661])).
% 217.67/140.28 tff(2663,plain,(v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.28 tff(2664,assumption,(~(v108(constB83) | v119(constB83))), introduced(assumption)).
% 217.67/140.28 tff(2665,plain,
% 217.67/140.28 ((v108(constB83) | v119(constB83)) | (~v108(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2666,plain,
% 217.67/140.28 (~v108(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2665, 2664])).
% 217.67/140.28 tff(2667,plain,
% 217.67/140.28 ((~(v108(constB83) <=> (v109(constB83) | v118(constB83)))) | v108(constB83) | (~(v109(constB83) | v118(constB83)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2668,plain,
% 217.67/140.28 ((~(v108(constB83) <=> (v109(constB83) | v118(constB83)))) | (~(v109(constB83) | v118(constB83)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2667, 2666])).
% 217.67/140.28 tff(2669,plain,
% 217.67/140.28 (~(v109(constB83) | v118(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2668, 894])).
% 217.67/140.28 tff(2670,assumption,(~v84(constB83, 2)), introduced(assumption)).
% 217.67/140.28 tff(2671,plain,
% 217.67/140.28 ((v109(constB83) | v118(constB83)) | (~v109(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2672,plain,
% 217.67/140.28 (~v109(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2671, 2669])).
% 217.67/140.28 tff(2673,plain,
% 217.67/140.28 ((~(v109(constB83) <=> (v110(constB83) | v117(constB83)))) | v109(constB83) | (~(v110(constB83) | v117(constB83)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2674,plain,
% 217.67/140.28 ((~(v109(constB83) <=> (v110(constB83) | v117(constB83)))) | (~(v110(constB83) | v117(constB83)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2673, 2672])).
% 217.67/140.28 tff(2675,plain,
% 217.67/140.28 (~(v110(constB83) | v117(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2674, 985])).
% 217.67/140.28 tff(2676,plain,
% 217.67/140.28 ((v110(constB83) | v117(constB83)) | (~v110(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2677,plain,
% 217.67/140.28 (~v110(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2676, 2675])).
% 217.67/140.28 tff(2678,plain,
% 217.67/140.28 ((~(v110(constB83) <=> (v111(constB83) | v116(constB83)))) | v110(constB83) | (~(v111(constB83) | v116(constB83)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2679,plain,
% 217.67/140.28 ((~(v110(constB83) <=> (v111(constB83) | v116(constB83)))) | (~(v111(constB83) | v116(constB83)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2678, 2677])).
% 217.67/140.28 tff(2680,plain,
% 217.67/140.28 (~(v111(constB83) | v116(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2679, 987])).
% 217.67/140.28 tff(2681,plain,
% 217.67/140.28 ((v111(constB83) | v116(constB83)) | (~v111(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2682,plain,
% 217.67/140.28 (~v111(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2681, 2680])).
% 217.67/140.28 tff(2683,plain,
% 217.67/140.28 ((~(v111(constB83) <=> (v112(constB83) | v115(constB83)))) | v111(constB83) | (~(v112(constB83) | v115(constB83)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2684,plain,
% 217.67/140.28 (~(v112(constB83) | v115(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2683, 2682, 989])).
% 217.67/140.28 tff(2685,plain,
% 217.67/140.28 ((v112(constB83) | v115(constB83)) | (~v112(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2686,plain,
% 217.67/140.28 (~v112(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2685, 2684])).
% 217.67/140.28 tff(2687,plain,
% 217.67/140.28 ((~(v112(constB83) <=> (v113(constB83) | v114(constB83)))) | v112(constB83) | (~(v113(constB83) | v114(constB83)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2688,plain,
% 217.67/140.28 (~(v113(constB83) | v114(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2687, 2686, 991])).
% 217.67/140.28 tff(2689,plain,
% 217.67/140.28 ((v113(constB83) | v114(constB83)) | (~v114(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2690,plain,
% 217.67/140.28 (~v114(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2689, 2688])).
% 217.67/140.28 tff(2691,plain,
% 217.67/140.28 ((~(v114(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0)))))) | v114(constB83) | (v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2692,plain,
% 217.67/140.28 (v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2691, 2690, 993])).
% 217.67/140.28 tff(2693,assumption,(~(v107(constB83) <=> (v108(constB83) | v119(constB83)))), introduced(assumption)).
% 217.67/140.28 tff(2694,plain,
% 217.67/140.28 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB83) <=> (v108(constB83) | v119(constB83)))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2695,plain,
% 217.67/140.28 ($false),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2694, 187, 2693])).
% 217.67/140.28 tff(2696,plain,(v107(constB83) <=> (v108(constB83) | v119(constB83))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.28 tff(2697,plain,
% 217.67/140.28 ((~(v107(constB83) <=> (v108(constB83) | v119(constB83)))) | (~v107(constB83)) | (v108(constB83) | v119(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2698,plain,
% 217.67/140.28 ((~v107(constB83)) | (v108(constB83) | v119(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2697, 2696])).
% 217.67/140.28 tff(2699,plain,
% 217.67/140.28 (~v107(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2698, 2664])).
% 217.67/140.28 tff(2700,plain,
% 217.67/140.28 (((~v107(constB83)) | (~v120(constB83))) | v107(constB83)),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2701,plain,
% 217.67/140.28 ((~v107(constB83)) | (~v120(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2700, 2699])).
% 217.67/140.28 tff(2702,plain,
% 217.67/140.28 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB83) <=> (~((~v107(constB83)) | (~v120(constB83)))))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2703,plain,
% 217.67/140.28 (v106(constB83) <=> (~((~v107(constB83)) | (~v120(constB83))))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2702, 132])).
% 217.67/140.28 tff(2704,plain,
% 217.67/140.28 ((~(v106(constB83) <=> (~((~v107(constB83)) | (~v120(constB83)))))) | (~v106(constB83)) | (~((~v107(constB83)) | (~v120(constB83))))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2705,plain,
% 217.67/140.28 ((~v106(constB83)) | (~((~v107(constB83)) | (~v120(constB83))))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2704, 2703])).
% 217.67/140.28 tff(2706,plain,
% 217.67/140.28 (~v106(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2705, 2701])).
% 217.67/140.28 tff(2707,plain,
% 217.67/140.28 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB83) <=> v26(constB83))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2708,plain,
% 217.67/140.28 (v105(constB83) <=> v26(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2707, 156])).
% 217.67/140.28 tff(2709,plain,
% 217.67/140.28 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2710,plain,
% 217.67/140.28 (~v26(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2709, 168])).
% 217.67/140.28 tff(2711,plain,
% 217.67/140.28 ((~(v105(constB83) <=> v26(constB83))) | (~v105(constB83)) | v26(constB83)),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2712,plain,
% 217.67/140.28 ((~(v105(constB83) <=> v26(constB83))) | (~v105(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2711, 2710])).
% 217.67/140.28 tff(2713,plain,
% 217.67/140.28 (~v105(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2712, 2708])).
% 217.67/140.28 tff(2714,plain,
% 217.67/140.28 ((~(v105(constB83) | v106(constB83))) | v105(constB83) | v106(constB83)),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2715,plain,
% 217.67/140.28 ((~(v105(constB83) | v106(constB83))) | v106(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2714, 2713])).
% 217.67/140.28 tff(2716,plain,
% 217.67/140.28 (~(v105(constB83) | v106(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2715, 2706])).
% 217.67/140.28 tff(2717,plain,
% 217.67/140.28 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB83) <=> (v105(constB83) | v106(constB83)))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2718,plain,
% 217.67/140.28 (v102(constB83) <=> (v105(constB83) | v106(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2717, 115])).
% 217.67/140.28 tff(2719,plain,
% 217.67/140.28 ((~(v102(constB83) <=> (v105(constB83) | v106(constB83)))) | (~v102(constB83)) | (v105(constB83) | v106(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2720,plain,
% 217.67/140.28 ((~v102(constB83)) | (v105(constB83) | v106(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2719, 2718])).
% 217.67/140.28 tff(2721,plain,
% 217.67/140.28 (~v102(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2720, 2716])).
% 217.67/140.28 tff(2722,plain,
% 217.67/140.28 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2723,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83')).
% 217.67/140.28 tff(2724,plain,
% 217.67/140.28 (nextState(constB83, constB84)),
% 217.67/140.28 inference(modus_ponens,[status(thm)],[2723, 2722])).
% 217.67/140.28 tff(2725,plain,
% 217.67/140.28 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83)))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2726,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83)))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2727,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83))),
% 217.67/140.28 inference(modus_ponens,[status(thm)],[2726, 2725])).
% 217.67/140.28 tff(2728,plain,
% 217.67/140.28 (v104(constB84) <=> v102(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2727, 2724, 101])).
% 217.67/140.28 tff(2729,plain,
% 217.67/140.28 ((~(v104(constB84) <=> v102(constB83))) | (~v104(constB84)) | v102(constB83)),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2730,plain,
% 217.67/140.28 ((~v104(constB84)) | v102(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2729, 2728])).
% 217.67/140.28 tff(2731,plain,
% 217.67/140.28 (~v104(constB84)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2730, 2721])).
% 217.67/140.28 tff(2732,plain,
% 217.67/140.28 (((~v95(constB84)) | (~v104(constB84))) | v104(constB84)),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2733,plain,
% 217.67/140.28 ((~v95(constB84)) | (~v104(constB84))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2732, 2731])).
% 217.67/140.28 tff(2734,plain,
% 217.67/140.28 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84))))))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2735,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84))))))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2736,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84)))))),
% 217.67/140.28 inference(modus_ponens,[status(thm)],[2735, 2734])).
% 217.67/140.28 tff(2737,plain,
% 217.67/140.28 (v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84))))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2736, 2724, 14])).
% 217.67/140.28 tff(2738,plain,
% 217.67/140.28 ((~(v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84)))))) | (~v94(constB84)) | (~((~v95(constB84)) | (~v104(constB84))))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2739,plain,
% 217.67/140.28 ((~v94(constB84)) | (~((~v95(constB84)) | (~v104(constB84))))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2738, 2737])).
% 217.67/140.28 tff(2740,plain,
% 217.67/140.28 (~v94(constB84)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2739, 2733])).
% 217.67/140.28 tff(2741,assumption,(~v84(constB83, 0)), introduced(assumption)).
% 217.67/140.28 tff(2742,assumption,(~v94(constB84)), introduced(assumption)).
% 217.67/140.28 tff(2743,plain,
% 217.67/140.28 (v107(constB83) <=> (v108(constB83) | v119(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2694, 187])).
% 217.67/140.28 tff(2744,plain,
% 217.67/140.28 ((~(v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84)))))) | v94(constB84) | ((~v95(constB84)) | (~v104(constB84)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2745,plain,
% 217.67/140.28 (v94(constB84) | ((~v95(constB84)) | (~v104(constB84)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2744, 2737])).
% 217.67/140.28 tff(2746,plain,
% 217.67/140.28 ((~v95(constB84)) | (~v104(constB84))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2745, 2742])).
% 217.67/140.28 tff(2747,plain,
% 217.67/140.28 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2748,plain,
% 217.67/140.28 (((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84)))))) <=> ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2749,plain,
% 217.67/140.28 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84)))))))),
% 217.67/140.28 inference(monotonicity,[status(thm)],[2748])).
% 217.67/140.28 tff(2750,plain,
% 217.67/140.28 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))),
% 217.67/140.28 inference(transitivity,[status(thm)],[2749, 2747])).
% 217.67/140.28 tff(2751,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84))))))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2752,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84)))))),
% 217.67/140.28 inference(modus_ponens,[status(thm)],[2751, 2750])).
% 217.67/140.28 tff(2753,plain,
% 217.67/140.28 (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2752, 2724, 37])).
% 217.67/140.28 tff(2754,plain,
% 217.67/140.28 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84)))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2755,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84)))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2756,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84))),
% 217.67/140.28 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 217.67/140.28 tff(2757,plain,
% 217.67/140.28 ((~v96(constB84)) <=> v98(constB84)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2756, 2724, 54])).
% 217.67/140.28 tff(2758,plain,
% 217.67/140.28 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83)))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2759,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83)))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2760,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83))),
% 217.67/140.28 inference(modus_ponens,[status(thm)],[2759, 2758])).
% 217.67/140.28 tff(2761,plain,
% 217.67/140.28 (v98(constB84) <=> v1(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2760, 2724, 68])).
% 217.67/140.28 tff(2762,plain,
% 217.67/140.28 ((~(v98(constB84) <=> v1(constB83))) | (~v98(constB84)) | v1(constB83)),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2763,plain,
% 217.67/140.28 ((~(v98(constB84) <=> v1(constB83))) | (~v98(constB84))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2762, 841])).
% 217.67/140.28 tff(2764,plain,
% 217.67/140.28 (~v98(constB84)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2763, 2761])).
% 217.67/140.28 tff(2765,plain,
% 217.67/140.28 ((~((~v96(constB84)) <=> v98(constB84))) | v96(constB84) | v98(constB84)),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2766,plain,
% 217.67/140.28 (v96(constB84)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2765, 2764, 2757])).
% 217.67/140.28 tff(2767,plain,
% 217.67/140.28 (v1(constB84) <=> v1(constB84)),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2768,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84')).
% 217.67/140.28 tff(2769,plain,
% 217.67/140.28 (v1(constB84)),
% 217.67/140.28 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 217.67/140.28 tff(2770,plain,
% 217.67/140.28 ((~((~v1(constB84)) | (~v96(constB84)))) | (~v1(constB84)) | (~v96(constB84))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2771,plain,
% 217.67/140.28 ((~((~v1(constB84)) | (~v96(constB84)))) | (~v96(constB84))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2770, 2769])).
% 217.67/140.28 tff(2772,plain,
% 217.67/140.28 (~((~v1(constB84)) | (~v96(constB84)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2771, 2766])).
% 217.67/140.28 tff(2773,plain,
% 217.67/140.28 ((~(v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84)))))) | v95(constB84) | ((~v1(constB84)) | (~v96(constB84)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2774,plain,
% 217.67/140.28 (v95(constB84)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2773, 2772, 2753])).
% 217.67/140.28 tff(2775,plain,
% 217.67/140.28 ((~((~v95(constB84)) | (~v104(constB84)))) | (~v95(constB84)) | (~v104(constB84))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2776,plain,
% 217.67/140.28 ((~((~v95(constB84)) | (~v104(constB84)))) | (~v104(constB84))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2775, 2774])).
% 217.67/140.28 tff(2777,plain,
% 217.67/140.28 (~v104(constB84)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2776, 2746])).
% 217.67/140.28 tff(2778,plain,
% 217.67/140.28 ((~(v104(constB84) <=> v102(constB83))) | v104(constB84) | (~v102(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2779,plain,
% 217.67/140.28 (v104(constB84) | (~v102(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2778, 2728])).
% 217.67/140.28 tff(2780,plain,
% 217.67/140.28 (~v102(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2779, 2777])).
% 217.67/140.28 tff(2781,plain,
% 217.67/140.28 ((~(v102(constB83) <=> (v105(constB83) | v106(constB83)))) | v102(constB83) | (~(v105(constB83) | v106(constB83)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2782,plain,
% 217.67/140.28 (v102(constB83) | (~(v105(constB83) | v106(constB83)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2781, 2718])).
% 217.67/140.28 tff(2783,plain,
% 217.67/140.28 (~(v105(constB83) | v106(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2782, 2780])).
% 217.67/140.28 tff(2784,plain,
% 217.67/140.28 ((v105(constB83) | v106(constB83)) | (~v106(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2785,plain,
% 217.67/140.28 (~v106(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2784, 2783])).
% 217.67/140.28 tff(2786,plain,
% 217.67/140.28 ((~(v106(constB83) <=> (~((~v107(constB83)) | (~v120(constB83)))))) | v106(constB83) | ((~v107(constB83)) | (~v120(constB83)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2787,plain,
% 217.67/140.28 (v106(constB83) | ((~v107(constB83)) | (~v120(constB83)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2786, 2703])).
% 217.67/140.28 tff(2788,plain,
% 217.67/140.28 ((~v107(constB83)) | (~v120(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2787, 2785])).
% 217.67/140.28 tff(2789,plain,
% 217.67/140.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB83)) <=> v105(constB83))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2790,plain,
% 217.67/140.28 ((~v120(constB83)) <=> v105(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2789, 144])).
% 217.67/140.28 tff(2791,plain,
% 217.67/140.28 ((~((~v120(constB83)) <=> v105(constB83))) | v120(constB83) | v105(constB83)),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2792,plain,
% 217.67/140.28 ((~((~v120(constB83)) <=> v105(constB83))) | v120(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2791, 2713])).
% 217.67/140.28 tff(2793,plain,
% 217.67/140.28 (v120(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2792, 2790])).
% 217.67/140.28 tff(2794,plain,
% 217.67/140.28 ((~((~v107(constB83)) | (~v120(constB83)))) | (~v107(constB83)) | (~v120(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2795,plain,
% 217.67/140.28 ((~((~v107(constB83)) | (~v120(constB83)))) | (~v107(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2794, 2793])).
% 217.67/140.28 tff(2796,plain,
% 217.67/140.28 (~v107(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2795, 2788])).
% 217.67/140.28 tff(2797,plain,
% 217.67/140.28 ((~(v107(constB83) <=> (v108(constB83) | v119(constB83)))) | v107(constB83) | (~(v108(constB83) | v119(constB83)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2798,plain,
% 217.67/140.28 ((~(v107(constB83) <=> (v108(constB83) | v119(constB83)))) | (~(v108(constB83) | v119(constB83)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2797, 2796])).
% 217.67/140.28 tff(2799,plain,
% 217.67/140.28 (~(v108(constB83) | v119(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2798, 2743])).
% 217.67/140.28 tff(2800,plain,
% 217.67/140.28 (~v108(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2665, 2799])).
% 217.67/140.28 tff(2801,plain,
% 217.67/140.28 ((~(v108(constB83) <=> (v109(constB83) | v118(constB83)))) | (~(v109(constB83) | v118(constB83)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2667, 2800])).
% 217.67/140.28 tff(2802,plain,
% 217.67/140.28 (~(v109(constB83) | v118(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2801, 894])).
% 217.67/140.28 tff(2803,plain,
% 217.67/140.28 (~v109(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2671, 2802])).
% 217.67/140.28 tff(2804,plain,
% 217.67/140.28 ((~(v109(constB83) <=> (v110(constB83) | v117(constB83)))) | (~(v110(constB83) | v117(constB83)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2673, 2803])).
% 217.67/140.28 tff(2805,plain,
% 217.67/140.28 (~(v110(constB83) | v117(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2804, 985])).
% 217.67/140.28 tff(2806,plain,
% 217.67/140.28 (~v110(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2676, 2805])).
% 217.67/140.28 tff(2807,plain,
% 217.67/140.28 ((~(v110(constB83) <=> (v111(constB83) | v116(constB83)))) | (~(v111(constB83) | v116(constB83)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2678, 2806])).
% 217.67/140.28 tff(2808,plain,
% 217.67/140.28 (~(v111(constB83) | v116(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2807, 987])).
% 217.67/140.28 tff(2809,plain,
% 217.67/140.28 (~v111(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2681, 2808])).
% 217.67/140.28 tff(2810,plain,
% 217.67/140.28 ((~(v111(constB83) <=> (v112(constB83) | v115(constB83)))) | (~(v112(constB83) | v115(constB83)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2683, 2809])).
% 217.67/140.28 tff(2811,plain,
% 217.67/140.28 (~(v112(constB83) | v115(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2810, 989])).
% 217.67/140.28 tff(2812,plain,
% 217.67/140.28 ((v112(constB83) | v115(constB83)) | (~v115(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2813,plain,
% 217.67/140.28 (~v115(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2812, 2811])).
% 217.67/140.28 tff(2814,plain,
% 217.67/140.28 ((~(v115(constB83) <=> (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1)))))) | v115(constB83) | (v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2815,plain,
% 217.67/140.28 ((~(v115(constB83) <=> (~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1)))))) | (v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2814, 2813])).
% 217.67/140.28 tff(2816,plain,
% 217.67/140.28 (v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2815, 1016])).
% 217.67/140.28 tff(2817,plain,
% 217.67/140.28 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB84) | (~nextState(constB83, constB84)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB84) | (~nextState(constB83, constB84)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B))))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2818,plain,
% 217.67/140.28 ((v94(constB84) | (~nextState(constB83, constB84)) | ![B: $int] : ((v84(constB84, B) <=> v84(constB83, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB84) | (~nextState(constB83, constB84)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B))))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2819,plain,
% 217.67/140.28 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB84) | (~nextState(constB83, constB84)) | ![B: $int] : ((v84(constB84, B) <=> v84(constB83, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB84) | (~nextState(constB83, constB84)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))))),
% 217.67/140.28 inference(monotonicity,[status(thm)],[2818])).
% 217.67/140.28 tff(2820,plain,
% 217.67/140.28 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB84) | (~nextState(constB83, constB84)) | ![B: $int] : ((v84(constB84, B) <=> v84(constB83, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB84) | (~nextState(constB83, constB84)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B))))),
% 217.67/140.28 inference(transitivity,[status(thm)],[2819, 2817])).
% 217.67/140.28 tff(2821,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB84) | (~nextState(constB83, constB84)) | ![B: $int] : ((v84(constB84, B) <=> v84(constB83, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2822,plain,
% 217.67/140.28 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB84) | (~nextState(constB83, constB84)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))),
% 217.67/140.28 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 217.67/140.28 tff(2823,plain,
% 217.67/140.28 (v94(constB84) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2822, 2724, 235])).
% 217.67/140.28 tff(2824,plain,
% 217.67/140.28 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2823, 2742])).
% 217.67/140.28 tff(2825,assumption,(~(v84(constB84, 0) <=> v84(constB83, 0))), introduced(assumption)).
% 217.67/140.28 tff(2826,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))), introduced(assumption)).
% 217.67/140.28 tff(2827,plain,
% 217.67/140.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))) | (v84(constB84, 0) <=> v84(constB83, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))) | (v84(constB84, 0) <=> v84(constB83, 0)))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2828,plain,
% 217.67/140.28 (($false | $false | (v84(constB84, 0) <=> v84(constB83, 0))) <=> (v84(constB84, 0) <=> v84(constB83, 0))),
% 217.67/140.28 inference(rewrite,[status(thm)],[])).
% 217.67/140.28 tff(2829,plain,
% 217.67/140.28 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB84, 0) <=> v84(constB83, 0))) <=> ($false | $false | (v84(constB84, 0) <=> v84(constB83, 0)))),
% 217.67/140.28 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.28 tff(2830,plain,
% 217.67/140.28 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB84, 0) <=> v84(constB83, 0))) <=> (v84(constB84, 0) <=> v84(constB83, 0))),
% 217.67/140.28 inference(transitivity,[status(thm)],[2829, 2828])).
% 217.67/140.28 tff(2831,plain,
% 217.67/140.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB84, 0) <=> v84(constB83, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))) | (v84(constB84, 0) <=> v84(constB83, 0)))),
% 217.67/140.28 inference(monotonicity,[status(thm)],[2830])).
% 217.67/140.28 tff(2832,plain,
% 217.67/140.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB84, 0) <=> v84(constB83, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))) | (v84(constB84, 0) <=> v84(constB83, 0)))),
% 217.67/140.28 inference(transitivity,[status(thm)],[2831, 2827])).
% 217.67/140.28 tff(2833,plain,
% 217.67/140.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB84, 0) <=> v84(constB83, 0)))),
% 217.67/140.28 inference(quant_inst,[status(thm)],[])).
% 217.67/140.28 tff(2834,plain,
% 217.67/140.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B)))) | (v84(constB84, 0) <=> v84(constB83, 0))),
% 217.67/140.28 inference(modus_ponens,[status(thm)],[2833, 2832])).
% 217.67/140.28 tff(2835,plain,
% 217.67/140.28 ($false),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2834, 2826, 2825])).
% 217.67/140.28 tff(2836,plain,((v84(constB84, 0) <=> v84(constB83, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB84, B) <=> v84(constB83, B))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.28 tff(2837,plain,
% 217.67/140.28 (v84(constB84, 0) <=> v84(constB83, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2836, 2824])).
% 217.67/140.28 tff(2838,assumption,(~v84(constB84, 0)), introduced(assumption)).
% 217.67/140.28 tff(2839,plain,
% 217.67/140.28 ((~(v84(constB84, 0) <=> v84(constB83, 0))) | v84(constB84, 0) | (~v84(constB83, 0))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2840,plain,
% 217.67/140.28 ((~(v84(constB84, 0) <=> v84(constB83, 0))) | (~v84(constB83, 0))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2839, 2838])).
% 217.67/140.28 tff(2841,plain,
% 217.67/140.28 (~v84(constB83, 0)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2840, 2837])).
% 217.67/140.28 tff(2842,plain,
% 217.67/140.28 ((v110(constB83) | v117(constB83)) | (~v117(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2843,plain,
% 217.67/140.28 (~v117(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2842, 2805])).
% 217.67/140.28 tff(2844,plain,
% 217.67/140.28 ((~(v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))))) | v117(constB83) | (v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2845,plain,
% 217.67/140.28 ((~(v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))))) | (v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2844, 2843])).
% 217.67/140.28 tff(2846,plain,
% 217.67/140.28 (v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2845, 1082])).
% 217.67/140.28 tff(2847,plain,
% 217.67/140.28 (~v112(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2685, 2811])).
% 217.67/140.28 tff(2848,plain,
% 217.67/140.28 ((~(v112(constB83) <=> (v113(constB83) | v114(constB83)))) | (~(v113(constB83) | v114(constB83)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2687, 2847])).
% 217.67/140.28 tff(2849,plain,
% 217.67/140.28 (~(v113(constB83) | v114(constB83))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2848, 991])).
% 217.67/140.28 tff(2850,plain,
% 217.67/140.28 ((v113(constB83) | v114(constB83)) | (~v113(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2851,plain,
% 217.67/140.28 (~v113(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2850, 2849])).
% 217.67/140.28 tff(2852,plain,
% 217.67/140.28 ((~(v113(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2))))) | v113(constB83) | (v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2853,plain,
% 217.67/140.28 ((~(v113(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2))))) | (v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2852, 2851])).
% 217.67/140.28 tff(2854,plain,
% 217.67/140.28 (v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2853, 999])).
% 217.67/140.28 tff(2855,assumption,(v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2)), introduced(assumption)).
% 217.67/140.28 tff(2856,assumption,(~v84(constB83, 1)), introduced(assumption)).
% 217.67/140.28 tff(2857,assumption,(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))), introduced(assumption)).
% 217.67/140.28 tff(2858,plain,
% 217.67/140.28 ((~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))) | v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2859,plain,
% 217.67/140.28 (~v84(constB83, 2)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2858, 2856, 2741, 2857])).
% 217.67/140.28 tff(2860,plain,
% 217.67/140.28 ((~(v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2))) | v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2)),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2861,plain,
% 217.67/140.28 ($false),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2860, 2859, 2856, 2741, 2855])).
% 217.67/140.28 tff(2862,plain,(v84(constB83, 1) | v84(constB83, 0) | (~(v84(constB83, 0) | v84(constB83, 1) | v84(constB83, 2))) | (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.28 tff(2863,plain,
% 217.67/140.28 (v84(constB83, 1)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2862, 2841, 2854, 2846])).
% 217.67/140.28 tff(2864,plain,
% 217.67/140.28 ((v108(constB83) | v119(constB83)) | (~v119(constB83))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2865,plain,
% 217.67/140.28 (~v119(constB83)),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2864, 2799])).
% 217.67/140.28 tff(2866,plain,
% 217.67/140.28 ((~(v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1)))))) | v119(constB83) | (v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1)))),
% 217.67/140.28 inference(tautology,[status(thm)],[])).
% 217.67/140.28 tff(2867,plain,
% 217.67/140.28 ((~(v119(constB83) <=> (~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1)))))) | (v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1)))),
% 217.67/140.28 inference(unit_resolution,[status(thm)],[2866, 2865])).
% 217.67/140.29 tff(2868,plain,
% 217.67/140.29 (v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2867, 901])).
% 217.67/140.29 tff(2869,plain,
% 217.67/140.29 ((~(v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1)))) | v84(constB83, 0) | (~v84(constB83, 2)) | (~v84(constB83, 1))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2870,plain,
% 217.67/140.29 (~v84(constB83, 2)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2869, 2863, 2841, 2868])).
% 217.67/140.29 tff(2871,plain,
% 217.67/140.29 ((~(v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1)))) | v84(constB83, 2) | v84(constB83, 0) | (~v84(constB83, 1))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2872,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2871, 2870, 2863, 2841, 2816])).
% 217.67/140.29 tff(2873,plain,(v94(constB84) | v84(constB84, 0)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(2874,plain,
% 217.67/140.29 (v84(constB84, 0)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2873, 2742])).
% 217.67/140.29 tff(2875,plain,
% 217.67/140.29 ((~(v84(constB84, 0) <=> v84(constB83, 0))) | (~v84(constB84, 0)) | v84(constB83, 0)),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2876,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2875, 2837, 2874, 2741])).
% 217.67/140.29 tff(2877,plain,(v94(constB84) | v84(constB83, 0)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(2878,plain,
% 217.67/140.29 (v84(constB83, 0)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2877, 2740])).
% 217.67/140.29 tff(2879,plain,
% 217.67/140.29 ((~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0)))) | v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2880,plain,
% 217.67/140.29 (v84(constB83, 1)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2879, 2670, 2878, 2692])).
% 217.67/140.29 tff(2881,assumption,(v84(constB83, 1)), introduced(assumption)).
% 217.67/140.29 tff(2882,plain,
% 217.67/140.29 (~(v109(constB83) | v118(constB83))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2667, 2666, 894])).
% 217.67/140.29 tff(2883,plain,
% 217.67/140.29 (~v109(constB83)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2671, 2882])).
% 217.67/140.29 tff(2884,plain,
% 217.67/140.29 (~(v110(constB83) | v117(constB83))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2673, 2883, 985])).
% 217.67/140.29 tff(2885,plain,
% 217.67/140.29 (~v110(constB83)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2676, 2884])).
% 217.67/140.29 tff(2886,plain,
% 217.67/140.29 (~(v111(constB83) | v116(constB83))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2678, 2885, 987])).
% 217.67/140.29 tff(2887,plain,
% 217.67/140.29 ((v111(constB83) | v116(constB83)) | (~v116(constB83))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2888,plain,
% 217.67/140.29 (~v116(constB83)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2887, 2886])).
% 217.67/140.29 tff(2889,plain,
% 217.67/140.29 ((~(v116(constB83) <=> (~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1)))))) | v116(constB83) | (v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2890,plain,
% 217.67/140.29 (v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2889, 2888, 1033])).
% 217.67/140.29 tff(2891,plain,
% 217.67/140.29 ((~(v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1)))) | v84(constB83, 2) | (~v84(constB83, 0)) | (~v84(constB83, 1))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2892,plain,
% 217.67/140.29 (~v84(constB83, 0)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2891, 2890, 2881, 2670])).
% 217.67/140.29 tff(2893,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2877, 2892, 2740])).
% 217.67/140.29 tff(2894,plain,((v108(constB83) | v119(constB83)) | (~v84(constB83, 1)) | v84(constB83, 2)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(2895,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2894, 2880, 2670, 2664])).
% 217.67/140.29 tff(2896,plain,(v84(constB83, 2) | (v108(constB83) | v119(constB83))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(2897,plain,
% 217.67/140.29 (v84(constB83, 2)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2896, 2664])).
% 217.67/140.29 tff(2898,plain,
% 217.67/140.29 ((~(v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2)))) | v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2899,plain,
% 217.67/140.29 (~(v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2898, 2878, 2856, 2897])).
% 217.67/140.29 tff(2900,plain,
% 217.67/140.29 ((~(v118(constB83) <=> (~(v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2)))))) | v118(constB83) | (v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2901,plain,
% 217.67/140.29 ((~(v118(constB83) <=> (~(v84(constB83, 1) | (~v84(constB83, 0)) | (~v84(constB83, 2)))))) | v118(constB83)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2900, 2899])).
% 217.67/140.29 tff(2902,plain,
% 217.67/140.29 (v118(constB83)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2901, 892])).
% 217.67/140.29 tff(2903,plain,
% 217.67/140.29 ((v109(constB83) | v118(constB83)) | (~v118(constB83))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2904,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2903, 2902, 2669])).
% 217.67/140.29 tff(2905,plain,((v108(constB83) | v119(constB83)) | v84(constB83, 1)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(2906,plain,
% 217.67/140.29 (v84(constB83, 1)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2905, 2664])).
% 217.67/140.29 tff(2907,assumption,(~(v84(constB83, 1) <=> v84(constB82, 1))), introduced(assumption)).
% 217.67/140.29 tff(2908,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[1052, 858, 2907])).
% 217.67/140.29 tff(2909,plain,(v84(constB83, 1) <=> v84(constB82, 1)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(2910,plain,
% 217.67/140.29 ((~v84(constB83, 1)) | v84(constB82, 1)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[1057, 2909])).
% 217.67/140.29 tff(2911,plain,
% 217.67/140.29 (v84(constB82, 1)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2910, 2906])).
% 217.67/140.29 tff(2912,assumption,(v84(constB82, 1)), introduced(assumption)).
% 217.67/140.29 tff(2913,assumption,(v116(constB81)), introduced(assumption)).
% 217.67/140.29 tff(2914,plain,
% 217.67/140.29 ((v111(constB81) | v116(constB81)) | (~v116(constB81))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2915,plain,
% 217.67/140.29 (v111(constB81) | v116(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2914, 2913])).
% 217.67/140.29 tff(2916,plain,
% 217.67/140.29 ((~(v110(constB81) <=> (v111(constB81) | v116(constB81)))) | v110(constB81) | (~(v111(constB81) | v116(constB81)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2917,plain,
% 217.67/140.29 ((~(v110(constB81) <=> (v111(constB81) | v116(constB81)))) | v110(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2916, 2915])).
% 217.67/140.29 tff(2918,plain,
% 217.67/140.29 (v110(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2917, 508])).
% 217.67/140.29 tff(2919,plain,
% 217.67/140.29 ((v110(constB81) | v117(constB81)) | (~v110(constB81))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2920,plain,
% 217.67/140.29 (v110(constB81) | v117(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2919, 2918])).
% 217.67/140.29 tff(2921,plain,
% 217.67/140.29 ((~(v109(constB81) <=> (v110(constB81) | v117(constB81)))) | v109(constB81) | (~(v110(constB81) | v117(constB81)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2922,plain,
% 217.67/140.29 (v109(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2921, 2920, 506])).
% 217.67/140.29 tff(2923,plain,
% 217.67/140.29 ((v109(constB81) | v118(constB81)) | (~v109(constB81))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2924,plain,
% 217.67/140.29 (v109(constB81) | v118(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2923, 2922])).
% 217.67/140.29 tff(2925,plain,
% 217.67/140.29 ((~(v108(constB81) <=> (v109(constB81) | v118(constB81)))) | v108(constB81) | (~(v109(constB81) | v118(constB81)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2926,plain,
% 217.67/140.29 (v108(constB81) | (~(v109(constB81) | v118(constB81)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2925, 679])).
% 217.67/140.29 tff(2927,plain,
% 217.67/140.29 (v108(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2926, 2924])).
% 217.67/140.29 tff(2928,plain,
% 217.67/140.29 ((v108(constB81) | v119(constB81)) | (~v108(constB81))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2929,plain,
% 217.67/140.29 (v108(constB81) | v119(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2928, 2927])).
% 217.67/140.29 tff(2930,plain,
% 217.67/140.29 ((~(v107(constB81) <=> (v108(constB81) | v119(constB81)))) | v107(constB81) | (~(v108(constB81) | v119(constB81)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2931,plain,
% 217.67/140.29 (v107(constB81) | (~(v108(constB81) | v119(constB81)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2930, 688])).
% 217.67/140.29 tff(2932,plain,
% 217.67/140.29 (v107(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2931, 2929])).
% 217.67/140.29 tff(2933,plain,
% 217.67/140.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB81)) <=> v105(constB81))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(2934,plain,
% 217.67/140.29 ((~v120(constB81)) <=> v105(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2933, 144])).
% 217.67/140.29 tff(2935,plain,
% 217.67/140.29 ((~((~v120(constB81)) <=> v105(constB81))) | v120(constB81) | v105(constB81)),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2936,plain,
% 217.67/140.29 ((~((~v120(constB81)) <=> v105(constB81))) | v120(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2935, 705])).
% 217.67/140.29 tff(2937,plain,
% 217.67/140.29 (v120(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2936, 2934])).
% 217.67/140.29 tff(2938,plain,
% 217.67/140.29 ((~((~v107(constB81)) | (~v120(constB81)))) | (~v107(constB81)) | (~v120(constB81))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2939,plain,
% 217.67/140.29 ((~((~v107(constB81)) | (~v120(constB81)))) | (~v107(constB81))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2938, 2937])).
% 217.67/140.29 tff(2940,plain,
% 217.67/140.29 (~((~v107(constB81)) | (~v120(constB81)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2939, 2932])).
% 217.67/140.29 tff(2941,plain,
% 217.67/140.29 ((~(v106(constB81) <=> (~((~v107(constB81)) | (~v120(constB81)))))) | v106(constB81) | ((~v107(constB81)) | (~v120(constB81)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2942,plain,
% 217.67/140.29 (v106(constB81) | ((~v107(constB81)) | (~v120(constB81)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2941, 695])).
% 217.67/140.29 tff(2943,plain,
% 217.67/140.29 (v106(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2942, 2940])).
% 217.67/140.29 tff(2944,plain,
% 217.67/140.29 ((v105(constB81) | v106(constB81)) | (~v106(constB81))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2945,plain,
% 217.67/140.29 (v105(constB81) | v106(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2944, 2943])).
% 217.67/140.29 tff(2946,plain,
% 217.67/140.29 ((~(v102(constB81) <=> (v105(constB81) | v106(constB81)))) | v102(constB81) | (~(v105(constB81) | v106(constB81)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2947,plain,
% 217.67/140.29 (v102(constB81) | (~(v105(constB81) | v106(constB81)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2946, 710])).
% 217.67/140.29 tff(2948,plain,
% 217.67/140.29 (v102(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2947, 2945])).
% 217.67/140.29 tff(2949,plain,
% 217.67/140.29 ((~(v104(constB82) <=> v102(constB81))) | v104(constB82) | (~v102(constB81))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2950,plain,
% 217.67/140.29 (v104(constB82) | (~v102(constB81))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2949, 720])).
% 217.67/140.29 tff(2951,plain,
% 217.67/140.29 (v104(constB82)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2950, 2948])).
% 217.67/140.29 tff(2952,plain,
% 217.67/140.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(2953,plain,
% 217.67/140.29 (((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82)))))) <=> ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(2954,plain,
% 217.67/140.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82)))))))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[2953])).
% 217.67/140.29 tff(2955,plain,
% 217.67/140.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))),
% 217.67/140.29 inference(transitivity,[status(thm)],[2954, 2952])).
% 217.67/140.29 tff(2956,plain,
% 217.67/140.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82))))))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(2957,plain,
% 217.67/140.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82)))))),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[2956, 2955])).
% 217.67/140.29 tff(2958,plain,
% 217.67/140.29 (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2957, 716, 37])).
% 217.67/140.29 tff(2959,plain,
% 217.67/140.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82)))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(2960,plain,
% 217.67/140.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82)))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(2961,plain,
% 217.67/140.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82))),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[2960, 2959])).
% 217.67/140.29 tff(2962,plain,
% 217.67/140.29 ((~v96(constB82)) <=> v98(constB82)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2961, 716, 54])).
% 217.67/140.29 tff(2963,plain,
% 217.67/140.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81)))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(2964,plain,
% 217.67/140.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81)))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(2965,plain,
% 217.67/140.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81))),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[2964, 2963])).
% 217.67/140.29 tff(2966,plain,
% 217.67/140.29 (v98(constB82) <=> v1(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2965, 716, 68])).
% 217.67/140.29 tff(2967,plain,
% 217.67/140.29 ((~(v98(constB82) <=> v1(constB81))) | (~v98(constB82)) | v1(constB81)),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2968,plain,
% 217.67/140.29 ((~(v98(constB82) <=> v1(constB81))) | (~v98(constB82))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2967, 346])).
% 217.67/140.29 tff(2969,plain,
% 217.67/140.29 (~v98(constB82)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2968, 2966])).
% 217.67/140.29 tff(2970,plain,
% 217.67/140.29 ((~((~v96(constB82)) <=> v98(constB82))) | v96(constB82) | v98(constB82)),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2971,plain,
% 217.67/140.29 (v96(constB82)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2970, 2969, 2962])).
% 217.67/140.29 tff(2972,plain,
% 217.67/140.29 (v1(constB82) <=> v1(constB82)),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(2973,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82')).
% 217.67/140.29 tff(2974,plain,
% 217.67/140.29 (v1(constB82)),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 217.67/140.29 tff(2975,plain,
% 217.67/140.29 ((~((~v1(constB82)) | (~v96(constB82)))) | (~v1(constB82)) | (~v96(constB82))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2976,plain,
% 217.67/140.29 ((~((~v1(constB82)) | (~v96(constB82)))) | (~v96(constB82))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2975, 2974])).
% 217.67/140.29 tff(2977,plain,
% 217.67/140.29 (~((~v1(constB82)) | (~v96(constB82)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2976, 2971])).
% 217.67/140.29 tff(2978,plain,
% 217.67/140.29 ((~(v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82)))))) | v95(constB82) | ((~v1(constB82)) | (~v96(constB82)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2979,plain,
% 217.67/140.29 (v95(constB82)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2978, 2977, 2958])).
% 217.67/140.29 tff(2980,plain,
% 217.67/140.29 ((~((~v95(constB82)) | (~v104(constB82)))) | (~v95(constB82)) | (~v104(constB82))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2981,plain,
% 217.67/140.29 ((~((~v95(constB82)) | (~v104(constB82)))) | (~v104(constB82))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2980, 2979])).
% 217.67/140.29 tff(2982,plain,
% 217.67/140.29 (~((~v95(constB82)) | (~v104(constB82)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2981, 2951])).
% 217.67/140.29 tff(2983,plain,
% 217.67/140.29 ((~(v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82)))))) | v94(constB82) | ((~v95(constB82)) | (~v104(constB82)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(2984,plain,
% 217.67/140.29 (v94(constB82) | ((~v95(constB82)) | (~v104(constB82)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2983, 729])).
% 217.67/140.29 tff(2985,plain,
% 217.67/140.29 (v94(constB82)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2984, 2982])).
% 217.67/140.29 tff(2986,plain,
% 217.67/140.29 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B))))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(2987,plain,
% 217.67/140.29 (((~v94(constB82)) | ![B: $int] : ((v84(constB82, B) <=> v123(constB82, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B))))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(2988,plain,
% 217.67/140.29 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB82)) | ![B: $int] : ((v84(constB82, B) <=> v123(constB82, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[2987])).
% 217.67/140.29 tff(2989,plain,
% 217.67/140.29 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB82)) | ![B: $int] : ((v84(constB82, B) <=> v123(constB82, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B))))),
% 217.67/140.29 inference(transitivity,[status(thm)],[2988, 2986])).
% 217.67/140.29 tff(2990,plain,
% 217.67/140.29 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB82)) | ![B: $int] : ((v84(constB82, B) <=> v123(constB82, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(2991,plain,
% 217.67/140.29 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 217.67/140.29 tff(2992,plain,
% 217.67/140.29 ((~v94(constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2991, 1491])).
% 217.67/140.29 tff(2993,plain,
% 217.67/140.29 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2992, 2985])).
% 217.67/140.29 tff(2994,assumption,(~(v84(constB82, 1) <=> v123(constB82, 1))), introduced(assumption)).
% 217.67/140.29 tff(2995,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))), introduced(assumption)).
% 217.67/140.29 tff(2996,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 1) <=> v123(constB82, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 1) <=> v123(constB82, 1)))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(2997,plain,
% 217.67/140.29 (($false | $false | (v84(constB82, 1) <=> v123(constB82, 1))) <=> (v84(constB82, 1) <=> v123(constB82, 1))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(2998,plain,
% 217.67/140.29 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB82, 1) <=> v123(constB82, 1))) <=> ($false | $false | (v84(constB82, 1) <=> v123(constB82, 1)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.29 tff(2999,plain,
% 217.67/140.29 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB82, 1) <=> v123(constB82, 1))) <=> (v84(constB82, 1) <=> v123(constB82, 1))),
% 217.67/140.29 inference(transitivity,[status(thm)],[2998, 2997])).
% 217.67/140.29 tff(3000,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB82, 1) <=> v123(constB82, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 1) <=> v123(constB82, 1)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[2999])).
% 217.67/140.29 tff(3001,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB82, 1) <=> v123(constB82, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 1) <=> v123(constB82, 1)))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3000, 2996])).
% 217.67/140.29 tff(3002,plain,
% 217.67/140.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB82, 1) <=> v123(constB82, 1)))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(3003,plain,
% 217.67/140.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 1) <=> v123(constB82, 1))),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 217.67/140.29 tff(3004,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3003, 2995, 2994])).
% 217.67/140.29 tff(3005,plain,((v84(constB82, 1) <=> v123(constB82, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(3006,plain,
% 217.67/140.29 (v84(constB82, 1) <=> v123(constB82, 1)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3005, 2993])).
% 217.67/140.29 tff(3007,plain,
% 217.67/140.29 ((~(v84(constB82, 1) <=> v123(constB82, 1))) | (~v84(constB82, 1)) | v123(constB82, 1)),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3008,plain,
% 217.67/140.29 (v123(constB82, 1)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3007, 3006, 2912])).
% 217.67/140.29 tff(3009,assumption,(~(v123(constB82, 1) <=> v121(constB81, 1))), introduced(assumption)).
% 217.67/140.29 tff(3010,plain,
% 217.67/140.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B))))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3011,plain,
% 217.67/140.29 (((~nextState(constB81, constB82)) | ![B: $int] : ((v123(constB82, B) <=> v121(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B))))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3012,plain,
% 217.67/140.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB81, constB82)) | ![B: $int] : ((v123(constB82, B) <=> v121(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[3011])).
% 217.67/140.29 tff(3013,plain,
% 217.67/140.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB81, constB82)) | ![B: $int] : ((v123(constB82, B) <=> v121(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B))))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3012, 3010])).
% 217.67/140.29 tff(3014,plain,
% 217.67/140.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB81, constB82)) | ![B: $int] : ((v123(constB82, B) <=> v121(constB81, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(3015,plain,
% 217.67/140.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB81, constB82)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[3014, 3013])).
% 217.67/140.29 tff(3016,plain,
% 217.67/140.29 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3015, 716, 1527])).
% 217.67/140.29 tff(3017,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 1) <=> v121(constB81, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 1) <=> v121(constB81, 1)))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3018,plain,
% 217.67/140.29 (($false | $false | (v123(constB82, 1) <=> v121(constB81, 1))) <=> (v123(constB82, 1) <=> v121(constB81, 1))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3019,plain,
% 217.67/140.29 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB82, 1) <=> v121(constB81, 1))) <=> ($false | $false | (v123(constB82, 1) <=> v121(constB81, 1)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.29 tff(3020,plain,
% 217.67/140.29 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB82, 1) <=> v121(constB81, 1))) <=> (v123(constB82, 1) <=> v121(constB81, 1))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3019, 3018])).
% 217.67/140.29 tff(3021,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB82, 1) <=> v121(constB81, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 1) <=> v121(constB81, 1)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[3020])).
% 217.67/140.29 tff(3022,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB82, 1) <=> v121(constB81, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 1) <=> v121(constB81, 1)))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3021, 3017])).
% 217.67/140.29 tff(3023,plain,
% 217.67/140.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB82, 1) <=> v121(constB81, 1)))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(3024,plain,
% 217.67/140.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 1) <=> v121(constB81, 1))),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[3023, 3022])).
% 217.67/140.29 tff(3025,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3024, 3016, 3009])).
% 217.67/140.29 tff(3026,plain,(v123(constB82, 1) <=> v121(constB81, 1)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(3027,plain,
% 217.67/140.29 ((~(v123(constB82, 1) <=> v121(constB81, 1))) | (~v123(constB82, 1)) | v121(constB81, 1)),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3028,plain,
% 217.67/140.29 ((~v123(constB82, 1)) | v121(constB81, 1)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3027, 3026])).
% 217.67/140.29 tff(3029,plain,
% 217.67/140.29 (v121(constB81, 1)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3028, 3008])).
% 217.67/140.29 tff(3030,assumption,(~(v121(constB81, 1) <=> v124(constB81, 1))), introduced(assumption)).
% 217.67/140.29 tff(3031,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 1) <=> v124(constB81, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 1) <=> v124(constB81, 1)))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3032,plain,
% 217.67/140.29 (($false | $false | (v121(constB81, 1) <=> v124(constB81, 1))) <=> (v121(constB81, 1) <=> v124(constB81, 1))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3033,plain,
% 217.67/140.29 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB81, 1) <=> v124(constB81, 1))) <=> ($false | $false | (v121(constB81, 1) <=> v124(constB81, 1)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.29 tff(3034,plain,
% 217.67/140.29 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB81, 1) <=> v124(constB81, 1))) <=> (v121(constB81, 1) <=> v124(constB81, 1))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3033, 3032])).
% 217.67/140.29 tff(3035,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB81, 1) <=> v124(constB81, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 1) <=> v124(constB81, 1)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[3034])).
% 217.67/140.29 tff(3036,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB81, 1) <=> v124(constB81, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 1) <=> v124(constB81, 1)))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3035, 3031])).
% 217.67/140.29 tff(3037,plain,
% 217.67/140.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB81, 1) <=> v124(constB81, 1)))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(3038,plain,
% 217.67/140.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 1) <=> v124(constB81, 1))),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[3037, 3036])).
% 217.67/140.29 tff(3039,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3038, 2650, 3030])).
% 217.67/140.29 tff(3040,plain,(v121(constB81, 1) <=> v124(constB81, 1)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(3041,plain,
% 217.67/140.29 ((~(v121(constB81, 1) <=> v124(constB81, 1))) | (~v121(constB81, 1)) | v124(constB81, 1)),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3042,plain,
% 217.67/140.29 ((~v121(constB81, 1)) | v124(constB81, 1)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3041, 3040])).
% 217.67/140.29 tff(3043,plain,
% 217.67/140.29 (v124(constB81, 1)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3042, 3029])).
% 217.67/140.29 tff(3044,plain,
% 217.67/140.29 ((~(v124(constB81, 1) <=> b100(1))) | (~v124(constB81, 1)) | b100(1)),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3045,plain,
% 217.67/140.29 (~(v124(constB81, 1) <=> b100(1))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3044, 2274, 3043])).
% 217.67/140.29 tff(3046,plain,
% 217.67/140.29 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B))))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3047,plain,
% 217.67/140.29 (((~v116(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B))))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3048,plain,
% 217.67/140.29 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B)))))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[3047])).
% 217.67/140.29 tff(3049,plain,
% 217.67/140.29 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B))))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3048, 3046])).
% 217.67/140.29 tff(3050,plain,
% 217.67/140.29 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(3051,plain,
% 217.67/140.29 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B)))),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 217.67/140.29 tff(3052,plain,
% 217.67/140.29 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3051, 2230, 2913])).
% 217.67/140.29 tff(3053,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B)))) | (v124(constB81, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B)))) | (v124(constB81, 1) <=> b100(1)))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3054,plain,
% 217.67/140.29 (($false | $false | (v124(constB81, 1) <=> b100(1))) <=> (v124(constB81, 1) <=> b100(1))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3055,plain,
% 217.67/140.29 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b100(1))) <=> ($false | $false | (v124(constB81, 1) <=> b100(1)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.29 tff(3056,plain,
% 217.67/140.29 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b100(1))) <=> (v124(constB81, 1) <=> b100(1))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3055, 3054])).
% 217.67/140.29 tff(3057,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B)))) | (v124(constB81, 1) <=> b100(1)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[3056])).
% 217.67/140.29 tff(3058,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B)))) | (v124(constB81, 1) <=> b100(1)))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3057, 3053])).
% 217.67/140.29 tff(3059,plain,
% 217.67/140.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b100(1)))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(3060,plain,
% 217.67/140.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b100(B)))) | (v124(constB81, 1) <=> b100(1))),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[3059, 3058])).
% 217.67/140.29 tff(3061,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3060, 3052, 3045])).
% 217.67/140.29 tff(3062,plain,((~v116(constB81)) | (~v84(constB82, 1))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(3063,plain,
% 217.67/140.29 (~v116(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3062, 2911])).
% 217.67/140.29 tff(3064,plain,
% 217.67/140.29 ((~(v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))))) | v116(constB81) | (v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3065,plain,
% 217.67/140.29 (v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3064, 3063, 2663])).
% 217.67/140.29 tff(3066,plain,
% 217.67/140.29 (v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2639, 3065])).
% 217.67/140.29 tff(3067,assumption,(~(v84(constB83, 0) <=> v84(constB82, 0))), introduced(assumption)).
% 217.67/140.29 tff(3068,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[909, 858, 3067])).
% 217.67/140.29 tff(3069,plain,(v84(constB83, 0) <=> v84(constB82, 0)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(3070,plain,
% 217.67/140.29 ((~(v84(constB83, 0) <=> v84(constB82, 0))) | (~v84(constB83, 0)) | v84(constB82, 0)),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3071,plain,
% 217.67/140.29 ((~v84(constB83, 0)) | v84(constB82, 0)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3070, 3069])).
% 217.67/140.29 tff(3072,plain,
% 217.67/140.29 (v84(constB82, 0)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3071, 2878])).
% 217.67/140.29 tff(3073,plain,
% 217.67/140.29 (v121(constB81, 0) <=> v124(constB81, 0)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2658, 2650])).
% 217.67/140.29 tff(3074,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 0) <=> v121(constB81, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 0) <=> v121(constB81, 0)))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3075,plain,
% 217.67/140.29 (($false | $false | (v123(constB82, 0) <=> v121(constB81, 0))) <=> (v123(constB82, 0) <=> v121(constB81, 0))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3076,plain,
% 217.67/140.29 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB82, 0) <=> v121(constB81, 0))) <=> ($false | $false | (v123(constB82, 0) <=> v121(constB81, 0)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.29 tff(3077,plain,
% 217.67/140.29 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB82, 0) <=> v121(constB81, 0))) <=> (v123(constB82, 0) <=> v121(constB81, 0))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3076, 3075])).
% 217.67/140.29 tff(3078,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB82, 0) <=> v121(constB81, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 0) <=> v121(constB81, 0)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[3077])).
% 217.67/140.29 tff(3079,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB82, 0) <=> v121(constB81, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 0) <=> v121(constB81, 0)))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3078, 3074])).
% 217.67/140.29 tff(3080,plain,
% 217.67/140.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB82, 0) <=> v121(constB81, 0)))),
% 217.67/140.29 inference(quant_inst,[status(thm)],[])).
% 217.67/140.29 tff(3081,plain,
% 217.67/140.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 0) <=> v121(constB81, 0))),
% 217.67/140.29 inference(modus_ponens,[status(thm)],[3080, 3079])).
% 217.67/140.29 tff(3082,plain,
% 217.67/140.29 (v123(constB82, 0) <=> v121(constB81, 0)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3081, 3016])).
% 217.67/140.29 tff(3083,assumption,(~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))), introduced(assumption)).
% 217.67/140.29 tff(3084,plain,
% 217.67/140.29 ((~(v114(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))))) | v114(constB81) | (v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3085,plain,
% 217.67/140.29 ((~(v114(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))))) | v114(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3084, 3083])).
% 217.67/140.29 tff(3086,plain,
% 217.67/140.29 (v114(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3085, 580])).
% 217.67/140.29 tff(3087,plain,
% 217.67/140.29 ((v113(constB81) | v114(constB81)) | (~v114(constB81))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3088,plain,
% 217.67/140.29 (v113(constB81) | v114(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3087, 3086])).
% 217.67/140.29 tff(3089,plain,
% 217.67/140.29 ((~(v112(constB81) <=> (v113(constB81) | v114(constB81)))) | v112(constB81) | (~(v113(constB81) | v114(constB81)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3090,plain,
% 217.67/140.29 ((~(v112(constB81) <=> (v113(constB81) | v114(constB81)))) | v112(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3089, 3088])).
% 217.67/140.29 tff(3091,plain,
% 217.67/140.29 (v112(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3090, 578])).
% 217.67/140.29 tff(3092,plain,
% 217.67/140.29 ((v112(constB81) | v115(constB81)) | (~v112(constB81))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3093,plain,
% 217.67/140.29 (v112(constB81) | v115(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3092, 3091])).
% 217.67/140.29 tff(3094,assumption,(~v109(constB81)), introduced(assumption)).
% 217.67/140.29 tff(3095,plain,
% 217.67/140.29 ((~(v109(constB81) <=> (v110(constB81) | v117(constB81)))) | (~(v110(constB81) | v117(constB81)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2921, 3094])).
% 217.67/140.29 tff(3096,plain,
% 217.67/140.29 (~(v110(constB81) | v117(constB81))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3095, 506])).
% 217.67/140.29 tff(3097,plain,
% 217.67/140.29 (~v110(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2919, 3096])).
% 217.67/140.29 tff(3098,plain,
% 217.67/140.29 ((~(v110(constB81) <=> (v111(constB81) | v116(constB81)))) | (~(v111(constB81) | v116(constB81)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2916, 3097])).
% 217.67/140.29 tff(3099,plain,
% 217.67/140.29 (~(v111(constB81) | v116(constB81))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3098, 508])).
% 217.67/140.29 tff(3100,plain,
% 217.67/140.29 ((v111(constB81) | v116(constB81)) | (~v111(constB81))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3101,plain,
% 217.67/140.29 (~v111(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3100, 3099])).
% 217.67/140.29 tff(3102,plain,
% 217.67/140.29 ((~(v111(constB81) <=> (v112(constB81) | v115(constB81)))) | v111(constB81) | (~(v112(constB81) | v115(constB81)))),
% 217.67/140.29 inference(tautology,[status(thm)],[])).
% 217.67/140.29 tff(3103,plain,
% 217.67/140.29 ($false),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3102, 3101, 3093, 576])).
% 217.67/140.29 tff(3104,plain,(v109(constB81) | (v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.29 tff(3105,plain,
% 217.67/140.29 (v109(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[3104, 3083])).
% 217.67/140.29 tff(3106,plain,
% 217.67/140.29 (v109(constB81) | v118(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2923, 3105])).
% 217.67/140.29 tff(3107,plain,
% 217.67/140.29 (v108(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2926, 3106])).
% 217.67/140.29 tff(3108,plain,
% 217.67/140.29 (v108(constB81) | v119(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2928, 3107])).
% 217.67/140.29 tff(3109,plain,
% 217.67/140.29 (v107(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2931, 3108])).
% 217.67/140.29 tff(3110,plain,
% 217.67/140.29 (~((~v107(constB81)) | (~v120(constB81)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2939, 3109])).
% 217.67/140.29 tff(3111,plain,
% 217.67/140.29 (v106(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2942, 3110])).
% 217.67/140.29 tff(3112,plain,
% 217.67/140.29 (v105(constB81) | v106(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2944, 3111])).
% 217.67/140.29 tff(3113,plain,
% 217.67/140.29 (v102(constB81)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2947, 3112])).
% 217.67/140.29 tff(3114,plain,
% 217.67/140.29 (v104(constB82)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2950, 3113])).
% 217.67/140.29 tff(3115,plain,
% 217.67/140.29 (~((~v95(constB82)) | (~v104(constB82)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2981, 3114])).
% 217.67/140.29 tff(3116,plain,
% 217.67/140.29 (v94(constB82)),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2984, 3115])).
% 217.67/140.29 tff(3117,plain,
% 217.67/140.29 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 217.67/140.29 inference(unit_resolution,[status(thm)],[2992, 3116])).
% 217.67/140.29 tff(3118,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 0) <=> v123(constB82, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 0) <=> v123(constB82, 0)))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3119,plain,
% 217.67/140.29 (($false | $false | (v84(constB82, 0) <=> v123(constB82, 0))) <=> (v84(constB82, 0) <=> v123(constB82, 0))),
% 217.67/140.29 inference(rewrite,[status(thm)],[])).
% 217.67/140.29 tff(3120,plain,
% 217.67/140.29 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB82, 0) <=> v123(constB82, 0))) <=> ($false | $false | (v84(constB82, 0) <=> v123(constB82, 0)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.29 tff(3121,plain,
% 217.67/140.29 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB82, 0) <=> v123(constB82, 0))) <=> (v84(constB82, 0) <=> v123(constB82, 0))),
% 217.67/140.29 inference(transitivity,[status(thm)],[3120, 3119])).
% 217.67/140.29 tff(3122,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB82, 0) <=> v123(constB82, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 0) <=> v123(constB82, 0)))),
% 217.67/140.29 inference(monotonicity,[status(thm)],[3121])).
% 217.67/140.29 tff(3123,plain,
% 217.67/140.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB82, 0) <=> v123(constB82, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 0) <=> v123(constB82, 0)))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3122, 3118])).
% 217.67/140.30 tff(3124,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB82, 0) <=> v123(constB82, 0)))),
% 217.67/140.30 inference(quant_inst,[status(thm)],[])).
% 217.67/140.30 tff(3125,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 0) <=> v123(constB82, 0))),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 217.67/140.30 tff(3126,plain,
% 217.67/140.30 (v84(constB82, 0) <=> v123(constB82, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3125, 3117])).
% 217.67/140.30 tff(3127,plain,
% 217.67/140.30 ((~(v84(constB82, 0) <=> v123(constB82, 0))) | (~v84(constB82, 0)) | v123(constB82, 0)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3128,plain,
% 217.67/140.30 ((~(v84(constB82, 0) <=> v123(constB82, 0))) | v123(constB82, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3127, 1064])).
% 217.67/140.30 tff(3129,plain,
% 217.67/140.30 (v123(constB82, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3128, 3126])).
% 217.67/140.30 tff(3130,plain,
% 217.67/140.30 ((~(v123(constB82, 0) <=> v121(constB81, 0))) | (~v123(constB82, 0)) | v121(constB81, 0)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3131,plain,
% 217.67/140.30 ((~(v123(constB82, 0) <=> v121(constB81, 0))) | v121(constB81, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3130, 3129])).
% 217.67/140.30 tff(3132,plain,
% 217.67/140.30 (v121(constB81, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3131, 3082])).
% 217.67/140.30 tff(3133,plain,
% 217.67/140.30 ((~(v121(constB81, 0) <=> v124(constB81, 0))) | (~v121(constB81, 0)) | v124(constB81, 0)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3134,plain,
% 217.67/140.30 ((~(v121(constB81, 0) <=> v124(constB81, 0))) | v124(constB81, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3133, 3132])).
% 217.67/140.30 tff(3135,plain,
% 217.67/140.30 (v124(constB81, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3134, 3073])).
% 217.67/140.30 tff(3136,plain,
% 217.67/140.30 ((~(v124(constB81, 0) <=> b010(0))) | (~v124(constB81, 0)) | b010(0)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3137,plain,
% 217.67/140.30 (~(v124(constB81, 0) <=> b010(0))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3136, 2437, 3135])).
% 217.67/140.30 tff(3138,assumption,(v114(constB81)), introduced(assumption)).
% 217.67/140.30 tff(3139,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))), introduced(assumption)).
% 217.67/140.30 tff(3140,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B))))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3141,plain,
% 217.67/140.30 (((~v114(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B))))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3142,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[3141])).
% 217.67/140.30 tff(3143,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B))))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3142, 3140])).
% 217.67/140.30 tff(3144,plain,
% 217.67/140.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.30 inference(quant_inst,[status(thm)],[])).
% 217.67/140.30 tff(3145,plain,
% 217.67/140.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3144, 3143])).
% 217.67/140.30 tff(3146,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3145, 2418, 3139, 3138])).
% 217.67/140.30 tff(3147,plain,((~v114(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3148,plain,
% 217.67/140.30 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3147, 3086])).
% 217.67/140.30 tff(3149,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | (v124(constB81, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | (v124(constB81, 0) <=> b010(0)))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3150,plain,
% 217.67/140.30 (($false | $false | (v124(constB81, 0) <=> b010(0))) <=> (v124(constB81, 0) <=> b010(0))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3151,plain,
% 217.67/140.30 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b010(0))) <=> ($false | $false | (v124(constB81, 0) <=> b010(0)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.30 tff(3152,plain,
% 217.67/140.30 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b010(0))) <=> (v124(constB81, 0) <=> b010(0))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3151, 3150])).
% 217.67/140.30 tff(3153,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | (v124(constB81, 0) <=> b010(0)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[3152])).
% 217.67/140.30 tff(3154,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | (v124(constB81, 0) <=> b010(0)))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3153, 3149])).
% 217.67/140.30 tff(3155,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b010(0)))),
% 217.67/140.30 inference(quant_inst,[status(thm)],[])).
% 217.67/140.30 tff(3156,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | (v124(constB81, 0) <=> b010(0))),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3155, 3154])).
% 217.67/140.30 tff(3157,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3156, 3148, 3137])).
% 217.67/140.30 tff(3158,plain,((v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))) | (~v84(constB82, 0))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3159,plain,
% 217.67/140.30 (v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3158, 3072])).
% 217.67/140.30 tff(3160,plain,
% 217.67/140.30 (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2392, 3159, 1204, 3066])).
% 217.67/140.30 tff(3161,plain,
% 217.67/140.30 ((~(v118(constB81) <=> (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))))) | v118(constB81) | (v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3162,plain,
% 217.67/140.30 ((~(v118(constB81) <=> (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))))) | v118(constB81)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3161, 3160])).
% 217.67/140.30 tff(3163,plain,
% 217.67/140.30 (v118(constB81)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3162, 396])).
% 217.67/140.30 tff(3164,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))), introduced(assumption)).
% 217.67/140.30 tff(3165,assumption,(v118(constB81)), introduced(assumption)).
% 217.67/140.30 tff(3166,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B))))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3167,plain,
% 217.67/140.30 (((~v118(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B))))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3168,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[3167])).
% 217.67/140.30 tff(3169,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B))))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3168, 3166])).
% 217.67/140.30 tff(3170,plain,
% 217.67/140.30 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.30 inference(quant_inst,[status(thm)],[])).
% 217.67/140.30 tff(3171,plain,
% 217.67/140.30 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3170, 3169])).
% 217.67/140.30 tff(3172,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3171, 1977, 3165, 3164])).
% 217.67/140.30 tff(3173,plain,((~v118(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3174,plain,
% 217.67/140.30 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3173, 3163])).
% 217.67/140.30 tff(3175,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | (v124(constB81, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | (v124(constB81, 0) <=> b110(0)))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3176,plain,
% 217.67/140.30 (($false | $false | (v124(constB81, 0) <=> b110(0))) <=> (v124(constB81, 0) <=> b110(0))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3177,plain,
% 217.67/140.30 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b110(0))) <=> ($false | $false | (v124(constB81, 0) <=> b110(0)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.30 tff(3178,plain,
% 217.67/140.30 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b110(0))) <=> (v124(constB81, 0) <=> b110(0))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3177, 3176])).
% 217.67/140.30 tff(3179,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | (v124(constB81, 0) <=> b110(0)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[3178])).
% 217.67/140.30 tff(3180,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | (v124(constB81, 0) <=> b110(0)))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3179, 3175])).
% 217.67/140.30 tff(3181,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b110(0)))),
% 217.67/140.30 inference(quant_inst,[status(thm)],[])).
% 217.67/140.30 tff(3182,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | (v124(constB81, 0) <=> b110(0))),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 217.67/140.30 tff(3183,plain,
% 217.67/140.30 (v124(constB81, 0) <=> b110(0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3182, 3174])).
% 217.67/140.30 tff(3184,plain,
% 217.67/140.30 ((~b110(0)) <=> (~b110(0))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3185,axiom,(~b110(0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_18')).
% 217.67/140.30 tff(3186,plain,
% 217.67/140.30 (~b110(0)),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3185, 3184])).
% 217.67/140.30 tff(3187,plain,
% 217.67/140.30 ((~(v124(constB81, 0) <=> b110(0))) | (~v124(constB81, 0)) | b110(0)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3188,plain,
% 217.67/140.30 ((~(v124(constB81, 0) <=> b110(0))) | (~v124(constB81, 0))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3187, 3186])).
% 217.67/140.30 tff(3189,plain,
% 217.67/140.30 (~v124(constB81, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3188, 3183])).
% 217.67/140.30 tff(3190,assumption,(~(v123(constB82, 0) <=> v121(constB81, 0))), introduced(assumption)).
% 217.67/140.30 tff(3191,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3081, 3016, 3190])).
% 217.67/140.30 tff(3192,plain,(v123(constB82, 0) <=> v121(constB81, 0)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3193,assumption,(~(v84(constB83, 2) <=> v84(constB82, 2))), introduced(assumption)).
% 217.67/140.30 tff(3194,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[866, 858, 3193])).
% 217.67/140.30 tff(3195,plain,(v84(constB83, 2) <=> v84(constB82, 2)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3196,plain,
% 217.67/140.30 ((~v84(constB83, 2)) | v84(constB82, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1099, 3195])).
% 217.67/140.30 tff(3197,plain,
% 217.67/140.30 (v84(constB82, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3196, 2897])).
% 217.67/140.30 tff(3198,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))), introduced(assumption)).
% 217.67/140.30 tff(3199,plain,
% 217.67/140.30 (v84(constB82, 2) <=> v84(constB81, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[748, 3198])).
% 217.67/140.30 tff(3200,assumption,(v84(constB82, 2)), introduced(assumption)).
% 217.67/140.30 tff(3201,plain,
% 217.67/140.30 ((~(v84(constB82, 2) <=> v84(constB81, 2))) | (~v84(constB82, 2)) | v84(constB81, 2)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3202,plain,
% 217.67/140.30 ((~(v84(constB82, 2) <=> v84(constB81, 2))) | v84(constB81, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3201, 3200])).
% 217.67/140.30 tff(3203,plain,
% 217.67/140.30 (v84(constB81, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3202, 3199])).
% 217.67/140.30 tff(3204,plain,
% 217.67/140.30 (v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[571, 3203])).
% 217.67/140.30 tff(3205,plain,
% 217.67/140.30 (v84(constB82, 1) <=> v84(constB81, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1124, 3198])).
% 217.67/140.30 tff(3206,plain,
% 217.67/140.30 ((~(v84(constB82, 1) <=> v84(constB81, 1))) | (~v84(constB82, 1)) | v84(constB81, 1)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3207,plain,
% 217.67/140.30 ((~(v84(constB82, 1) <=> v84(constB81, 1))) | v84(constB81, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3206, 2912])).
% 217.67/140.30 tff(3208,plain,
% 217.67/140.30 (v84(constB81, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3207, 3205])).
% 217.67/140.30 tff(3209,plain,
% 217.67/140.30 (v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[501, 3208])).
% 217.67/140.30 tff(3210,plain,
% 217.67/140.30 (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2392, 3209, 1204, 1579])).
% 217.67/140.30 tff(3211,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2639, 3210, 3204])).
% 217.67/140.30 tff(3212,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))) | v84(constB78, 0) | (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))) | (~v84(constB82, 2)) | (~v84(constB82, 1))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3213,plain,
% 217.67/140.30 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3212, 3159, 1204, 3197, 2911])).
% 217.67/140.30 tff(3214,plain,
% 217.67/140.30 (v94(constB82)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[739, 3213])).
% 217.67/140.30 tff(3215,plain,
% 217.67/140.30 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2992, 3214])).
% 217.67/140.30 tff(3216,plain,
% 217.67/140.30 (v84(constB82, 0) <=> v123(constB82, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3125, 3215])).
% 217.67/140.30 tff(3217,plain,
% 217.67/140.30 ((~(v84(constB82, 0) <=> v123(constB82, 0))) | v123(constB82, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3127, 3072])).
% 217.67/140.30 tff(3218,plain,
% 217.67/140.30 (v123(constB82, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3217, 3216])).
% 217.67/140.30 tff(3219,plain,
% 217.67/140.30 (v121(constB81, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3130, 3218, 3192])).
% 217.67/140.30 tff(3220,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3133, 3219, 3189, 2660])).
% 217.67/140.30 tff(3221,plain,((v108(constB83) | v119(constB83)) | v84(constB78, 0)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3222,plain,
% 217.67/140.30 (v84(constB78, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3221, 2642])).
% 217.67/140.30 tff(3223,plain,
% 217.67/140.30 (v84(constB79, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1202, 3222])).
% 217.67/140.30 tff(3224,assumption,(~v84(constB81, 2)), introduced(assumption)).
% 217.67/140.30 tff(3225,plain,
% 217.67/140.30 (v116(constB81) | (v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3064, 2663])).
% 217.67/140.30 tff(3226,plain,
% 217.67/140.30 (v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3225, 3063])).
% 217.67/140.30 tff(3227,assumption,(v84(constB81, 0)), introduced(assumption)).
% 217.67/140.30 tff(3228,plain,
% 217.67/140.30 ((v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))) | v84(constB81, 2)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3229,plain,
% 217.67/140.30 (v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3228, 3224])).
% 217.67/140.30 tff(3230,assumption,(~v84(constB81, 1)), introduced(assumption)).
% 217.67/140.30 tff(3231,plain,
% 217.67/140.30 (v84(constB81, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1955, 3230, 3227, 1579])).
% 217.67/140.30 tff(3232,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2390, 3231, 3230, 3227, 1211])).
% 217.67/140.30 tff(3233,plain,(v84(constB81, 1) | (~v84(constB81, 0)) | (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))) | (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3234,plain,
% 217.67/140.30 (v84(constB81, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3233, 3227, 3229, 1579])).
% 217.67/140.30 tff(3235,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2629, 3234, 3227, 3224, 2467])).
% 217.67/140.30 tff(3236,plain,((~v84(constB81, 0)) | v84(constB81, 2) | (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))) | (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3237,plain,
% 217.67/140.30 (~v84(constB81, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3236, 3226, 3224, 3159])).
% 217.67/140.30 tff(3238,plain,
% 217.67/140.30 (~v84(constB80, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[375, 3237])).
% 217.67/140.30 tff(3239,plain,
% 217.67/140.30 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[327, 3238, 321])).
% 217.67/140.30 tff(3240,plain,
% 217.67/140.30 (v94(constB80)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[242, 3239])).
% 217.67/140.30 tff(3241,plain,
% 217.67/140.30 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1708, 3240])).
% 217.67/140.30 tff(3242,plain,
% 217.67/140.30 ((v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))) | (~v84(constB79, 0))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3243,plain,
% 217.67/140.30 (v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3242, 321])).
% 217.67/140.30 tff(3244,plain,
% 217.67/140.30 ((~(v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1)))))) | (~v119(constB79)) | (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3245,plain,
% 217.67/140.30 ((~v119(constB79)) | (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3244, 1688])).
% 217.67/140.30 tff(3246,plain,
% 217.67/140.30 (~v119(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3245, 3243])).
% 217.67/140.30 tff(3247,plain,
% 217.67/140.30 (~((~v95(constB80)) | (~v104(constB80)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[215, 3240])).
% 217.67/140.30 tff(3248,plain,
% 217.67/140.30 (v104(constB80)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[212, 3247])).
% 217.67/140.30 tff(3249,plain,
% 217.67/140.30 (v102(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[210, 3248])).
% 217.67/140.30 tff(3250,plain,
% 217.67/140.30 (v105(constB79) | v106(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[207, 3249])).
% 217.67/140.30 tff(3251,plain,
% 217.67/140.30 (v106(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[204, 3250])).
% 217.67/140.30 tff(3252,plain,
% 217.67/140.30 (~((~v107(constB79)) | (~v120(constB79)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[201, 3251])).
% 217.67/140.30 tff(3253,plain,
% 217.67/140.30 (v107(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[198, 3252])).
% 217.67/140.30 tff(3254,plain,
% 217.67/140.30 (v108(constB79) | v119(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[196, 3253])).
% 217.67/140.30 tff(3255,plain,
% 217.67/140.30 ((~(v108(constB79) | v119(constB79))) | v108(constB79) | v119(constB79)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3256,plain,
% 217.67/140.30 (v108(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3255, 3254, 3246])).
% 217.67/140.30 tff(3257,plain,
% 217.67/140.30 ((~(v108(constB79) <=> (v109(constB79) | v118(constB79)))) | (~v108(constB79)) | (v109(constB79) | v118(constB79))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3258,plain,
% 217.67/140.30 ((~v108(constB79)) | (v109(constB79) | v118(constB79))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3257, 431])).
% 217.67/140.30 tff(3259,plain,
% 217.67/140.30 (v109(constB79) | v118(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3258, 3256])).
% 217.67/140.30 tff(3260,assumption,(v109(constB79) | v118(constB79)), introduced(assumption)).
% 217.67/140.30 tff(3261,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))), introduced(assumption)).
% 217.67/140.30 tff(3262,assumption,(~(v84(constB80, 1) <=> v123(constB80, 1))), introduced(assumption)).
% 217.67/140.30 tff(3263,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1854, 3261, 3262])).
% 217.67/140.30 tff(3264,plain,((v84(constB80, 1) <=> v123(constB80, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3265,plain,
% 217.67/140.30 (v84(constB80, 1) <=> v123(constB80, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3264, 3261])).
% 217.67/140.30 tff(3266,assumption,(~(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2))), introduced(assumption)).
% 217.67/140.30 tff(3267,plain,
% 217.67/140.30 ((v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)) | (~v84(constB81, 1))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3268,plain,
% 217.67/140.30 (~v84(constB81, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3267, 3266])).
% 217.67/140.30 tff(3269,plain,
% 217.67/140.30 ((~(v84(constB81, 1) <=> v84(constB80, 1))) | (~v84(constB80, 1))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[498, 3268])).
% 217.67/140.30 tff(3270,plain,
% 217.67/140.30 (~v84(constB80, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3269, 409])).
% 217.67/140.30 tff(3271,plain,
% 217.67/140.30 (~v123(constB80, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2603, 3270, 3265])).
% 217.67/140.30 tff(3272,assumption,(~(v123(constB80, 1) <=> v121(constB79, 1))), introduced(assumption)).
% 217.67/140.30 tff(3273,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1863, 1725, 3272])).
% 217.67/140.30 tff(3274,plain,(v123(constB80, 1) <=> v121(constB79, 1)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3275,plain,
% 217.67/140.30 (v123(constB80, 1) | (~v121(constB79, 1))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2600, 3274])).
% 217.67/140.30 tff(3276,plain,
% 217.67/140.30 (~v121(constB79, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3275, 3271])).
% 217.67/140.30 tff(3277,assumption,(~(v121(constB79, 1) <=> v124(constB79, 1))), introduced(assumption)).
% 217.67/140.30 tff(3278,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1872, 1741, 3277])).
% 217.67/140.30 tff(3279,plain,(v121(constB79, 1) <=> v124(constB79, 1)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3280,plain,
% 217.67/140.30 (v121(constB79, 1) | (~v124(constB79, 1))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2597, 3279])).
% 217.67/140.30 tff(3281,plain,
% 217.67/140.30 (~v124(constB79, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3280, 3276])).
% 217.67/140.30 tff(3282,assumption,(~v124(constB79, 1)), introduced(assumption)).
% 217.67/140.30 tff(3283,plain,
% 217.67/140.30 ((~(v124(constB79, 1) <=> b110(1))) | v124(constB79, 1) | (~b110(1))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3284,plain,
% 217.67/140.30 (~(v124(constB79, 1) <=> b110(1))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3283, 1662, 3282])).
% 217.67/140.30 tff(3285,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))), introduced(assumption)).
% 217.67/140.30 tff(3286,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 1) <=> b110(1)))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3287,plain,
% 217.67/140.30 (($false | $false | (v124(constB79, 1) <=> b110(1))) <=> (v124(constB79, 1) <=> b110(1))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3288,plain,
% 217.67/140.30 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b110(1))) <=> ($false | $false | (v124(constB79, 1) <=> b110(1)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.30 tff(3289,plain,
% 217.67/140.30 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b110(1))) <=> (v124(constB79, 1) <=> b110(1))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3288, 3287])).
% 217.67/140.30 tff(3290,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 1) <=> b110(1)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[3289])).
% 217.67/140.30 tff(3291,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 1) <=> b110(1)))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3290, 3286])).
% 217.67/140.30 tff(3292,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b110(1)))),
% 217.67/140.30 inference(quant_inst,[status(thm)],[])).
% 217.67/140.30 tff(3293,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 1) <=> b110(1))),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3292, 3291])).
% 217.67/140.30 tff(3294,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3293, 3285, 3284])).
% 217.67/140.30 tff(3295,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | v124(constB79, 1)), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3296,plain,
% 217.67/140.30 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3295, 3281])).
% 217.67/140.30 tff(3297,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))), introduced(assumption)).
% 217.67/140.30 tff(3298,assumption,(v118(constB79)), introduced(assumption)).
% 217.67/140.30 tff(3299,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B))))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3300,plain,
% 217.67/140.30 (((~v118(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B))))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3301,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[3300])).
% 217.67/140.30 tff(3302,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B))))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3301, 3299])).
% 217.67/140.30 tff(3303,plain,
% 217.67/140.30 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.30 inference(quant_inst,[status(thm)],[])).
% 217.67/140.30 tff(3304,plain,
% 217.67/140.30 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3303, 3302])).
% 217.67/140.30 tff(3305,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3304, 1977, 3298, 3297])).
% 217.67/140.30 tff(3306,plain,((~v118(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3307,plain,
% 217.67/140.30 (~v118(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3306, 3296])).
% 217.67/140.30 tff(3308,plain,
% 217.67/140.30 ((~(v109(constB79) | v118(constB79))) | v109(constB79) | v118(constB79)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3309,plain,
% 217.67/140.30 (v109(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3308, 3307, 3260])).
% 217.67/140.30 tff(3310,plain,
% 217.67/140.30 ((~(v109(constB79) <=> (v110(constB79) | v117(constB79)))) | (~v109(constB79)) | (v110(constB79) | v117(constB79))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3311,plain,
% 217.67/140.30 ((~(v109(constB79) <=> (v110(constB79) | v117(constB79)))) | (v110(constB79) | v117(constB79))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3310, 3309])).
% 217.67/140.30 tff(3312,plain,
% 217.67/140.30 (v110(constB79) | v117(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3311, 458])).
% 217.67/140.30 tff(3313,plain,
% 217.67/140.30 ((v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))) | v84(constB81, 1)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3314,plain,
% 217.67/140.30 (v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3313, 3268])).
% 217.67/140.30 tff(3315,assumption,(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))), introduced(assumption)).
% 217.67/140.30 tff(3316,plain,
% 217.67/140.30 (v84(constB80, 2) <=> v123(constB80, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1717, 3261])).
% 217.67/140.30 tff(3317,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))), introduced(assumption)).
% 217.67/140.30 tff(3318,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 2) <=> b010(2)))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3319,plain,
% 217.67/140.30 (($false | $false | (v124(constB79, 2) <=> b010(2))) <=> (v124(constB79, 2) <=> b010(2))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3320,plain,
% 217.67/140.30 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b010(2))) <=> ($false | $false | (v124(constB79, 2) <=> b010(2)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.30 tff(3321,plain,
% 217.67/140.30 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b010(2))) <=> (v124(constB79, 2) <=> b010(2))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3320, 3319])).
% 217.67/140.30 tff(3322,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 2) <=> b010(2)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[3321])).
% 217.67/140.30 tff(3323,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 2) <=> b010(2)))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3322, 3318])).
% 217.67/140.30 tff(3324,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b010(2)))),
% 217.67/140.30 inference(quant_inst,[status(thm)],[])).
% 217.67/140.30 tff(3325,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 2) <=> b010(2))),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3324, 3323])).
% 217.67/140.30 tff(3326,plain,
% 217.67/140.30 (v124(constB79, 2) <=> b010(2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3325, 3317])).
% 217.67/140.30 tff(3327,plain,
% 217.67/140.30 ((~(v124(constB79, 2) <=> b010(2))) | (~v124(constB79, 2)) | b010(2)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3328,plain,
% 217.67/140.30 ((~(v124(constB79, 2) <=> b010(2))) | (~v124(constB79, 2))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3327, 2485])).
% 217.67/140.30 tff(3329,plain,
% 217.67/140.30 (~v124(constB79, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3328, 3326])).
% 217.67/140.30 tff(3330,plain,
% 217.67/140.30 ((~(v121(constB79, 2) <=> v124(constB79, 2))) | (~v121(constB79, 2))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1835, 3329])).
% 217.67/140.30 tff(3331,plain,
% 217.67/140.30 (~v121(constB79, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3330, 1750])).
% 217.67/140.30 tff(3332,plain,
% 217.67/140.30 ((~(v123(constB80, 2) <=> v121(constB79, 2))) | (~v123(constB80, 2))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1838, 3331])).
% 217.67/140.30 tff(3333,plain,
% 217.67/140.30 (~v123(constB80, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3332, 1734])).
% 217.67/140.30 tff(3334,plain,
% 217.67/140.30 ((~(v84(constB80, 2) <=> v123(constB80, 2))) | (~v84(constB80, 2))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1841, 3333])).
% 217.67/140.30 tff(3335,plain,
% 217.67/140.30 (~v84(constB80, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3334, 3316])).
% 217.67/140.30 tff(3336,plain,
% 217.67/140.30 ((~(v84(constB81, 2) <=> v84(constB80, 2))) | (~v84(constB81, 2))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1844, 3335])).
% 217.67/140.30 tff(3337,plain,
% 217.67/140.30 (~v84(constB81, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3336, 541])).
% 217.67/140.30 tff(3338,plain,
% 217.67/140.30 (v84(constB80, 1) <=> v123(constB80, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1854, 3261])).
% 217.67/140.30 tff(3339,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 1) <=> b010(1)))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3340,plain,
% 217.67/140.30 (($false | $false | (v124(constB79, 1) <=> b010(1))) <=> (v124(constB79, 1) <=> b010(1))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3341,plain,
% 217.67/140.30 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b010(1))) <=> ($false | $false | (v124(constB79, 1) <=> b010(1)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[402, 401])).
% 217.67/140.30 tff(3342,plain,
% 217.67/140.30 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b010(1))) <=> (v124(constB79, 1) <=> b010(1))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3341, 3340])).
% 217.67/140.30 tff(3343,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 1) <=> b010(1)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[3342])).
% 217.67/140.30 tff(3344,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 1) <=> b010(1)))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3343, 3339])).
% 217.67/140.30 tff(3345,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b010(1)))),
% 217.67/140.30 inference(quant_inst,[status(thm)],[])).
% 217.67/140.30 tff(3346,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 1) <=> b010(1))),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3345, 3344])).
% 217.67/140.30 tff(3347,plain,
% 217.67/140.30 (v124(constB79, 1) <=> b010(1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3346, 3317])).
% 217.67/140.30 tff(3348,plain,
% 217.67/140.30 ((~(v124(constB79, 1) <=> b010(1))) | v124(constB79, 1) | (~b010(1))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3349,plain,
% 217.67/140.30 ((~(v124(constB79, 1) <=> b010(1))) | v124(constB79, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3348, 2513])).
% 217.67/140.30 tff(3350,plain,
% 217.67/140.30 (v124(constB79, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3349, 3347])).
% 217.67/140.30 tff(3351,plain,
% 217.67/140.30 ((~(v121(constB79, 1) <=> v124(constB79, 1))) | v121(constB79, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2597, 3350])).
% 217.67/140.30 tff(3352,plain,
% 217.67/140.30 (v121(constB79, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3351, 1873])).
% 217.67/140.30 tff(3353,plain,
% 217.67/140.30 ((~(v123(constB80, 1) <=> v121(constB79, 1))) | v123(constB80, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2600, 3352])).
% 217.67/140.30 tff(3354,plain,
% 217.67/140.30 (v123(constB80, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3353, 1864])).
% 217.67/140.30 tff(3355,plain,
% 217.67/140.30 ((~(v84(constB80, 1) <=> v123(constB80, 1))) | v84(constB80, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[2603, 3354])).
% 217.67/140.30 tff(3356,plain,
% 217.67/140.30 (v84(constB80, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3355, 3338])).
% 217.67/140.30 tff(3357,plain,
% 217.67/140.30 ((~(v84(constB81, 1) <=> v84(constB80, 1))) | v84(constB81, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[498, 3356])).
% 217.67/140.30 tff(3358,plain,
% 217.67/140.30 (v84(constB81, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3357, 409])).
% 217.67/140.30 tff(3359,plain,
% 217.67/140.30 (v84(constB80, 0) <=> v123(constB80, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1909, 3261])).
% 217.67/140.30 tff(3360,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 0) <=> b010(0)))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3361,plain,
% 217.67/140.30 (($false | $false | (v124(constB79, 0) <=> b010(0))) <=> (v124(constB79, 0) <=> b010(0))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3362,plain,
% 217.67/140.30 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b010(0))) <=> ($false | $false | (v124(constB79, 0) <=> b010(0)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[250, 249])).
% 217.67/140.30 tff(3363,plain,
% 217.67/140.30 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b010(0))) <=> (v124(constB79, 0) <=> b010(0))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3362, 3361])).
% 217.67/140.30 tff(3364,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 0) <=> b010(0)))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[3363])).
% 217.67/140.30 tff(3365,plain,
% 217.67/140.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 0) <=> b010(0)))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3364, 3360])).
% 217.67/140.30 tff(3366,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b010(0)))),
% 217.67/140.30 inference(quant_inst,[status(thm)],[])).
% 217.67/140.30 tff(3367,plain,
% 217.67/140.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (v124(constB79, 0) <=> b010(0))),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3366, 3365])).
% 217.67/140.30 tff(3368,plain,
% 217.67/140.30 (v124(constB79, 0) <=> b010(0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3367, 3317])).
% 217.67/140.30 tff(3369,plain,
% 217.67/140.30 ((~(v124(constB79, 0) <=> b010(0))) | (~v124(constB79, 0)) | b010(0)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3370,plain,
% 217.67/140.30 ((~(v124(constB79, 0) <=> b010(0))) | (~v124(constB79, 0))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3369, 2437])).
% 217.67/140.30 tff(3371,plain,
% 217.67/140.30 (~v124(constB79, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3370, 3368])).
% 217.67/140.30 tff(3372,plain,
% 217.67/140.30 ((~(v121(constB79, 0) <=> v124(constB79, 0))) | (~v121(constB79, 0)) | v124(constB79, 0)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3373,plain,
% 217.67/140.30 ((~(v121(constB79, 0) <=> v124(constB79, 0))) | (~v121(constB79, 0))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3372, 3371])).
% 217.67/140.30 tff(3374,plain,
% 217.67/140.30 (~v121(constB79, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3373, 1928])).
% 217.67/140.30 tff(3375,plain,
% 217.67/140.30 ((~(v123(constB80, 0) <=> v121(constB79, 0))) | (~v123(constB80, 0)) | v121(constB79, 0)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3376,plain,
% 217.67/140.30 ((~(v123(constB80, 0) <=> v121(constB79, 0))) | (~v123(constB80, 0))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3375, 3374])).
% 217.67/140.30 tff(3377,plain,
% 217.67/140.30 (~v123(constB80, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3376, 1919])).
% 217.67/140.30 tff(3378,plain,
% 217.67/140.30 ((~(v84(constB80, 0) <=> v123(constB80, 0))) | (~v84(constB80, 0)) | v123(constB80, 0)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3379,plain,
% 217.67/140.30 ((~(v84(constB80, 0) <=> v123(constB80, 0))) | (~v84(constB80, 0))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3378, 3377])).
% 217.67/140.30 tff(3380,plain,
% 217.67/140.30 (~v84(constB80, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3379, 3359])).
% 217.67/140.30 tff(3381,plain,
% 217.67/140.30 ((~(v84(constB81, 0) <=> v84(constB80, 0))) | (~v84(constB81, 0))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1154, 3380])).
% 217.67/140.30 tff(3382,plain,
% 217.67/140.30 (~v84(constB81, 0)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3381, 1901])).
% 217.67/140.30 tff(3383,plain,
% 217.67/140.30 ((~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))) | v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3384,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3383, 3382, 3358, 3337, 3315])).
% 217.67/140.30 tff(3385,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))) | (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B))))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3386,plain,
% 217.67/140.30 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3385, 3314, 3261])).
% 217.67/140.30 tff(3387,assumption,(v114(constB79)), introduced(assumption)).
% 217.67/140.30 tff(3388,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))), introduced(assumption)).
% 217.67/140.30 tff(3389,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B))))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3390,plain,
% 217.67/140.30 (((~v114(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B))))),
% 217.67/140.30 inference(rewrite,[status(thm)],[])).
% 217.67/140.30 tff(3391,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))))),
% 217.67/140.30 inference(monotonicity,[status(thm)],[3390])).
% 217.67/140.30 tff(3392,plain,
% 217.67/140.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B))))),
% 217.67/140.30 inference(transitivity,[status(thm)],[3391, 3389])).
% 217.67/140.30 tff(3393,plain,
% 217.67/140.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.30 inference(quant_inst,[status(thm)],[])).
% 217.67/140.30 tff(3394,plain,
% 217.67/140.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))),
% 217.67/140.30 inference(modus_ponens,[status(thm)],[3393, 3392])).
% 217.67/140.30 tff(3395,plain,
% 217.67/140.30 ($false),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3394, 2418, 3388, 3387])).
% 217.67/140.30 tff(3396,plain,((~v114(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.30 tff(3397,plain,
% 217.67/140.30 (~v114(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3396, 3386])).
% 217.67/140.30 tff(3398,plain,
% 217.67/140.30 (v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[484, 3397])).
% 217.67/140.30 tff(3399,plain,
% 217.67/140.30 (v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[442, 3307])).
% 217.67/140.30 tff(3400,plain,
% 217.67/140.30 (v84(constB79, 1)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[493, 3399, 321, 3398])).
% 217.67/140.30 tff(3401,plain,
% 217.67/140.30 (v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1757, 3400])).
% 217.67/140.30 tff(3402,plain,
% 217.67/140.30 ((~(v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))))) | (~v117(constB79))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1759, 3401])).
% 217.67/140.30 tff(3403,plain,
% 217.67/140.30 (~v117(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3402, 1218])).
% 217.67/140.30 tff(3404,plain,
% 217.67/140.30 ((~(v110(constB79) | v117(constB79))) | v110(constB79) | v117(constB79)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3405,plain,
% 217.67/140.30 (v110(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3404, 3403, 3312])).
% 217.67/140.30 tff(3406,plain,
% 217.67/140.30 ((~(v110(constB79) <=> (v111(constB79) | v116(constB79)))) | (~v110(constB79)) | (v111(constB79) | v116(constB79))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3407,plain,
% 217.67/140.30 ((~(v110(constB79) <=> (v111(constB79) | v116(constB79)))) | (v111(constB79) | v116(constB79))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3406, 3405])).
% 217.67/140.30 tff(3408,plain,
% 217.67/140.30 (v111(constB79) | v116(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3407, 449])).
% 217.67/140.30 tff(3409,plain,
% 217.67/140.30 ((v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2)) | (~v84(constB79, 0))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3410,plain,
% 217.67/140.30 (v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3409, 321])).
% 217.67/140.30 tff(3411,plain,
% 217.67/140.30 ((~(v113(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2))))) | (~v113(constB79))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1755, 3410])).
% 217.67/140.30 tff(3412,plain,
% 217.67/140.30 (~v113(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3411, 1752])).
% 217.67/140.30 tff(3413,plain,
% 217.67/140.30 ((~(v113(constB79) | v114(constB79))) | v113(constB79) | v114(constB79)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3414,plain,
% 217.67/140.30 (~(v113(constB79) | v114(constB79))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3413, 3397, 3412])).
% 217.67/140.30 tff(3415,plain,
% 217.67/140.30 ((~(v112(constB79) <=> (v113(constB79) | v114(constB79)))) | (~v112(constB79)) | (v113(constB79) | v114(constB79))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3416,plain,
% 217.67/140.30 ((~(v112(constB79) <=> (v113(constB79) | v114(constB79)))) | (~v112(constB79))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3415, 3414])).
% 217.67/140.30 tff(3417,plain,
% 217.67/140.30 (~v112(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3416, 445])).
% 217.67/140.30 tff(3418,plain,
% 217.67/140.30 ((v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))) | (~v84(constB79, 0))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3419,plain,
% 217.67/140.30 (v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3418, 321])).
% 217.67/140.30 tff(3420,plain,
% 217.67/140.30 ((~(v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))) | (~v115(constB79))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[1770, 3419])).
% 217.67/140.30 tff(3421,plain,
% 217.67/140.30 (~v115(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3420, 1767])).
% 217.67/140.30 tff(3422,plain,
% 217.67/140.30 ((~(v112(constB79) | v115(constB79))) | v112(constB79) | v115(constB79)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3423,plain,
% 217.67/140.30 ((~(v112(constB79) | v115(constB79))) | v112(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3422, 3421])).
% 217.67/140.30 tff(3424,plain,
% 217.67/140.30 (~(v112(constB79) | v115(constB79))),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3423, 3417])).
% 217.67/140.30 tff(3425,plain,
% 217.67/140.30 ((~(v111(constB79) <=> (v112(constB79) | v115(constB79)))) | (~v111(constB79)) | (v112(constB79) | v115(constB79))),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.30 tff(3426,plain,
% 217.67/140.30 (~v111(constB79)),
% 217.67/140.30 inference(unit_resolution,[status(thm)],[3425, 3424, 447])).
% 217.67/140.30 tff(3427,plain,
% 217.67/140.30 ((~(v111(constB79) | v116(constB79))) | v111(constB79) | v116(constB79)),
% 217.67/140.30 inference(tautology,[status(thm)],[])).
% 217.67/140.31 tff(3428,plain,
% 217.67/140.31 (v116(constB79)),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3427, 3426, 3408])).
% 217.67/140.31 tff(3429,plain,
% 217.67/140.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B))))),
% 217.67/140.31 inference(rewrite,[status(thm)],[])).
% 217.67/140.31 tff(3430,plain,
% 217.67/140.31 (((~v116(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B))))),
% 217.67/140.31 inference(rewrite,[status(thm)],[])).
% 217.67/140.31 tff(3431,plain,
% 217.67/140.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))))),
% 217.67/140.31 inference(monotonicity,[status(thm)],[3430])).
% 217.67/140.31 tff(3432,plain,
% 217.67/140.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B))))),
% 217.67/140.31 inference(transitivity,[status(thm)],[3431, 3429])).
% 217.67/140.31 tff(3433,plain,
% 217.67/140.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB79)) | ![B: $int] : ((v124(constB79, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.67/140.31 inference(quant_inst,[status(thm)],[])).
% 217.67/140.31 tff(3434,plain,
% 217.67/140.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))),
% 217.67/140.31 inference(modus_ponens,[status(thm)],[3433, 3432])).
% 217.67/140.31 tff(3435,plain,
% 217.67/140.31 ((~v116(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3434, 2230])).
% 217.67/140.31 tff(3436,plain,
% 217.67/140.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3435, 3428])).
% 217.67/140.31 tff(3437,plain,
% 217.67/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 2) <=> b100(2)))),
% 217.67/140.31 inference(rewrite,[status(thm)],[])).
% 217.67/140.31 tff(3438,plain,
% 217.67/140.31 (($false | $false | (v124(constB79, 2) <=> b100(2))) <=> (v124(constB79, 2) <=> b100(2))),
% 217.67/140.31 inference(rewrite,[status(thm)],[])).
% 217.67/140.31 tff(3439,plain,
% 217.67/140.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b100(2))) <=> ($false | $false | (v124(constB79, 2) <=> b100(2)))),
% 217.67/140.31 inference(monotonicity,[status(thm)],[534, 533])).
% 217.67/140.31 tff(3440,plain,
% 217.67/140.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b100(2))) <=> (v124(constB79, 2) <=> b100(2))),
% 217.67/140.31 inference(transitivity,[status(thm)],[3439, 3438])).
% 217.67/140.31 tff(3441,plain,
% 217.67/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 2) <=> b100(2)))),
% 217.67/140.31 inference(monotonicity,[status(thm)],[3440])).
% 217.67/140.31 tff(3442,plain,
% 217.67/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 2) <=> b100(2)))),
% 217.67/140.31 inference(transitivity,[status(thm)],[3441, 3437])).
% 217.67/140.31 tff(3443,plain,
% 217.67/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b100(2)))),
% 217.67/140.31 inference(quant_inst,[status(thm)],[])).
% 217.67/140.31 tff(3444,plain,
% 217.67/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 2) <=> b100(2))),
% 217.67/140.31 inference(modus_ponens,[status(thm)],[3443, 3442])).
% 217.67/140.31 tff(3445,plain,
% 217.67/140.31 (v124(constB79, 2) <=> b100(2)),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3444, 3436])).
% 217.67/140.31 tff(3446,plain,
% 217.67/140.31 ((v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)) | (~v84(constB81, 2))),
% 217.67/140.31 inference(tautology,[status(thm)],[])).
% 217.67/140.31 tff(3447,plain,
% 217.67/140.31 (~v84(constB81, 2)),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3446, 3266])).
% 217.67/140.31 tff(3448,plain,
% 217.67/140.31 ((~(v84(constB81, 2) <=> v84(constB80, 2))) | (~v84(constB80, 2))),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[568, 3447])).
% 217.67/140.31 tff(3449,plain,
% 217.67/140.31 (~v84(constB80, 2)),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3448, 541])).
% 217.67/140.31 tff(3450,plain,
% 217.67/140.31 ((~(v84(constB80, 2) <=> v123(constB80, 2))) | (~v123(constB80, 2))),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[2364, 3449])).
% 217.67/140.31 tff(3451,plain,
% 217.67/140.31 (~v123(constB80, 2)),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3450, 3316])).
% 217.67/140.31 tff(3452,plain,
% 217.67/140.31 ((~(v123(constB80, 2) <=> v121(constB79, 2))) | (~v121(constB79, 2))),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[2361, 3451])).
% 217.67/140.31 tff(3453,plain,
% 217.67/140.31 (~v121(constB79, 2)),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3452, 1734])).
% 217.67/140.31 tff(3454,plain,
% 217.67/140.31 ((~(v121(constB79, 2) <=> v124(constB79, 2))) | (~v124(constB79, 2))),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[2358, 3453])).
% 217.67/140.31 tff(3455,plain,
% 217.67/140.31 (~v124(constB79, 2)),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3454, 1750])).
% 217.67/140.31 tff(3456,plain,
% 217.67/140.31 ((~(v124(constB79, 2) <=> b100(2))) | v124(constB79, 2) | (~b100(2))),
% 217.67/140.31 inference(tautology,[status(thm)],[])).
% 217.67/140.31 tff(3457,plain,
% 217.67/140.31 ((~(v124(constB79, 2) <=> b100(2))) | v124(constB79, 2)),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3456, 2250])).
% 217.67/140.31 tff(3458,plain,
% 217.67/140.31 ($false),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3457, 3455, 3445])).
% 217.67/140.31 tff(3459,plain,((v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)) | (~v84(constB79, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))) | (~(v109(constB79) | v118(constB79)))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.31 tff(3460,plain,
% 217.67/140.31 (v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3459, 3259, 3241, 321])).
% 217.67/140.31 tff(3461,assumption,(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)), introduced(assumption)).
% 217.67/140.31 tff(3462,plain,
% 217.67/140.31 ((~(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2))) | v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)),
% 217.67/140.31 inference(tautology,[status(thm)],[])).
% 217.67/140.31 tff(3463,plain,
% 217.67/140.31 (v84(constB81, 1)),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3462, 3224, 3461, 1206])).
% 217.67/140.31 tff(3464,plain,
% 217.67/140.31 ($false),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3383, 3463, 3224, 1206, 3315])).
% 217.67/140.31 tff(3465,plain,(v84(constB81, 2) | v84(constB81, 0) | (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))) | (~(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)))), inference(lemma,lemma(discharge,[]))).
% 217.67/140.31 tff(3466,plain,
% 217.67/140.31 (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))),
% 217.67/140.31 inference(unit_resolution,[status(thm)],[3465, 3460, 3224, 3237])).
% 217.76/140.31 tff(3467,plain,
% 217.76/140.31 ((~(v115(constB81) <=> (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))))) | v115(constB81) | (v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3468,plain,
% 217.76/140.31 ((~(v115(constB81) <=> (~(v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1)))))) | v115(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3467, 3466])).
% 217.76/140.31 tff(3469,plain,
% 217.76/140.31 (v115(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3468, 629])).
% 217.76/140.31 tff(3470,assumption,(~(v108(constB81) | v119(constB81))), introduced(assumption)).
% 217.76/140.31 tff(3471,plain,
% 217.76/140.31 ((v108(constB81) | v119(constB81)) | (~v119(constB81))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3472,plain,
% 217.76/140.31 (~v119(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3471, 3470])).
% 217.76/140.31 tff(3473,plain,
% 217.76/140.31 ((~(v119(constB81) <=> (~(v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2)))))) | v119(constB81) | (v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2)))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3474,plain,
% 217.76/140.31 (v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3473, 3472, 320])).
% 217.76/140.31 tff(3475,plain,
% 217.76/140.31 (~v108(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2928, 3470])).
% 217.76/140.31 tff(3476,plain,
% 217.76/140.31 (~(v109(constB81) | v118(constB81))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2926, 3475])).
% 217.76/140.31 tff(3477,plain,
% 217.76/140.31 (~v109(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2923, 3476])).
% 217.76/140.31 tff(3478,plain,
% 217.76/140.31 (~(v110(constB81) | v117(constB81))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2921, 3477, 506])).
% 217.76/140.31 tff(3479,plain,
% 217.76/140.31 (~v110(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2919, 3478])).
% 217.76/140.31 tff(3480,plain,
% 217.76/140.31 (~(v111(constB81) | v116(constB81))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2916, 3479, 508])).
% 217.76/140.31 tff(3481,plain,
% 217.76/140.31 (~v111(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3100, 3480])).
% 217.76/140.31 tff(3482,plain,
% 217.76/140.31 (~(v112(constB81) | v115(constB81))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3102, 3481, 576])).
% 217.76/140.31 tff(3483,plain,
% 217.76/140.31 ((v112(constB81) | v115(constB81)) | (~v115(constB81))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3484,plain,
% 217.76/140.31 (~v115(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3483, 3482])).
% 217.76/140.31 tff(3485,plain,
% 217.76/140.31 (v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3467, 3484, 629])).
% 217.76/140.31 tff(3486,plain,
% 217.76/140.31 (~v112(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3092, 3482])).
% 217.76/140.31 tff(3487,plain,
% 217.76/140.31 (~(v113(constB81) | v114(constB81))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3089, 3486, 578])).
% 217.76/140.31 tff(3488,plain,
% 217.76/140.31 ((v113(constB81) | v114(constB81)) | (~v113(constB81))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3489,plain,
% 217.76/140.31 (~v113(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3488, 3487])).
% 217.76/140.31 tff(3490,plain,
% 217.76/140.31 ((~(v113(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2))))) | v113(constB81) | (v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3491,plain,
% 217.76/140.31 (v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3490, 3489, 599])).
% 217.76/140.31 tff(3492,plain,
% 217.76/140.31 (v84(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3465, 3491, 1206, 3485])).
% 217.76/140.31 tff(3493,plain,
% 217.76/140.31 ((v110(constB81) | v117(constB81)) | (~v117(constB81))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3494,plain,
% 217.76/140.31 (~v117(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3493, 3478])).
% 217.76/140.31 tff(3495,plain,
% 217.76/140.31 ((~(v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))))) | v117(constB81) | (v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3496,plain,
% 217.76/140.31 (v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3495, 3494, 663])).
% 217.76/140.31 tff(3497,plain,
% 217.76/140.31 ((~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))) | v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3498,plain,
% 217.76/140.31 ((~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))) | v84(constB81, 1) | (~v84(constB81, 2))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3497, 1206])).
% 217.76/140.31 tff(3499,plain,
% 217.76/140.31 (v84(constB81, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3498, 3492, 3496])).
% 217.76/140.31 tff(3500,plain,
% 217.76/140.31 ((~(v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2)))) | v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3501,plain,
% 217.76/140.31 ((~(v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2)))) | (~v84(constB81, 1)) | (~v84(constB81, 2))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3500, 1206])).
% 217.76/140.31 tff(3502,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3501, 3499, 3492, 3474])).
% 217.76/140.31 tff(3503,plain,((v108(constB81) | v119(constB81)) | v84(constB81, 0)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3504,plain,
% 217.76/140.31 (v108(constB81) | v119(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3503, 3237])).
% 217.76/140.31 tff(3505,plain,
% 217.76/140.31 (v107(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2931, 3504])).
% 217.76/140.31 tff(3506,plain,
% 217.76/140.31 (~((~v107(constB81)) | (~v120(constB81)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2939, 3505])).
% 217.76/140.31 tff(3507,plain,
% 217.76/140.31 (v106(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2942, 3506])).
% 217.76/140.31 tff(3508,plain,
% 217.76/140.31 (v105(constB81) | v106(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2944, 3507])).
% 217.76/140.31 tff(3509,plain,
% 217.76/140.31 (v102(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2947, 3508])).
% 217.76/140.31 tff(3510,plain,
% 217.76/140.31 (v104(constB82)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2950, 3509])).
% 217.76/140.31 tff(3511,plain,
% 217.76/140.31 (~((~v95(constB82)) | (~v104(constB82)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2981, 3510])).
% 217.76/140.31 tff(3512,plain,
% 217.76/140.31 (v94(constB82)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2984, 3511])).
% 217.76/140.31 tff(3513,plain,
% 217.76/140.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2992, 3512])).
% 217.76/140.31 tff(3514,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 2) <=> v123(constB82, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 2) <=> v123(constB82, 2)))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3515,plain,
% 217.76/140.31 (($false | $false | (v84(constB82, 2) <=> v123(constB82, 2))) <=> (v84(constB82, 2) <=> v123(constB82, 2))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3516,plain,
% 217.76/140.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB82, 2) <=> v123(constB82, 2))) <=> ($false | $false | (v84(constB82, 2) <=> v123(constB82, 2)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.31 tff(3517,plain,
% 217.76/140.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB82, 2) <=> v123(constB82, 2))) <=> (v84(constB82, 2) <=> v123(constB82, 2))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3516, 3515])).
% 217.76/140.31 tff(3518,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB82, 2) <=> v123(constB82, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 2) <=> v123(constB82, 2)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[3517])).
% 217.76/140.31 tff(3519,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB82, 2) <=> v123(constB82, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 2) <=> v123(constB82, 2)))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3518, 3514])).
% 217.76/140.31 tff(3520,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB82, 2) <=> v123(constB82, 2)))),
% 217.76/140.31 inference(quant_inst,[status(thm)],[])).
% 217.76/140.31 tff(3521,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))) | (v84(constB82, 2) <=> v123(constB82, 2))),
% 217.76/140.31 inference(modus_ponens,[status(thm)],[3520, 3519])).
% 217.76/140.31 tff(3522,plain,
% 217.76/140.31 (v84(constB82, 2) <=> v123(constB82, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3521, 3513])).
% 217.76/140.31 tff(3523,plain,
% 217.76/140.31 ((~(v84(constB82, 2) <=> v123(constB82, 2))) | (~v84(constB82, 2)) | v123(constB82, 2)),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3524,plain,
% 217.76/140.31 ((~(v84(constB82, 2) <=> v123(constB82, 2))) | v123(constB82, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3523, 3197])).
% 217.76/140.31 tff(3525,plain,
% 217.76/140.31 (v123(constB82, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3524, 3522])).
% 217.76/140.31 tff(3526,assumption,(~(v123(constB82, 2) <=> v121(constB81, 2))), introduced(assumption)).
% 217.76/140.31 tff(3527,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 2) <=> v121(constB81, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 2) <=> v121(constB81, 2)))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3528,plain,
% 217.76/140.31 (($false | $false | (v123(constB82, 2) <=> v121(constB81, 2))) <=> (v123(constB82, 2) <=> v121(constB81, 2))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3529,plain,
% 217.76/140.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB82, 2) <=> v121(constB81, 2))) <=> ($false | $false | (v123(constB82, 2) <=> v121(constB81, 2)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.31 tff(3530,plain,
% 217.76/140.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB82, 2) <=> v121(constB81, 2))) <=> (v123(constB82, 2) <=> v121(constB81, 2))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3529, 3528])).
% 217.76/140.31 tff(3531,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB82, 2) <=> v121(constB81, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 2) <=> v121(constB81, 2)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[3530])).
% 217.76/140.31 tff(3532,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB82, 2) <=> v121(constB81, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 2) <=> v121(constB81, 2)))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3531, 3527])).
% 217.76/140.31 tff(3533,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB82, 2) <=> v121(constB81, 2)))),
% 217.76/140.31 inference(quant_inst,[status(thm)],[])).
% 217.76/140.31 tff(3534,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB82, B) <=> v121(constB81, B)))) | (v123(constB82, 2) <=> v121(constB81, 2))),
% 217.76/140.31 inference(modus_ponens,[status(thm)],[3533, 3532])).
% 217.76/140.31 tff(3535,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3534, 3016, 3526])).
% 217.76/140.31 tff(3536,plain,(v123(constB82, 2) <=> v121(constB81, 2)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3537,plain,
% 217.76/140.31 ((~(v123(constB82, 2) <=> v121(constB81, 2))) | (~v123(constB82, 2)) | v121(constB81, 2)),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3538,plain,
% 217.76/140.31 ((~v123(constB82, 2)) | v121(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3537, 3536])).
% 217.76/140.31 tff(3539,plain,
% 217.76/140.31 (v121(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3538, 3525])).
% 217.76/140.31 tff(3540,assumption,(~(v121(constB81, 2) <=> v124(constB81, 2))), introduced(assumption)).
% 217.76/140.31 tff(3541,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 2) <=> v124(constB81, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 2) <=> v124(constB81, 2)))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3542,plain,
% 217.76/140.31 (($false | $false | (v121(constB81, 2) <=> v124(constB81, 2))) <=> (v121(constB81, 2) <=> v124(constB81, 2))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3543,plain,
% 217.76/140.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB81, 2) <=> v124(constB81, 2))) <=> ($false | $false | (v121(constB81, 2) <=> v124(constB81, 2)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.31 tff(3544,plain,
% 217.76/140.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB81, 2) <=> v124(constB81, 2))) <=> (v121(constB81, 2) <=> v124(constB81, 2))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3543, 3542])).
% 217.76/140.31 tff(3545,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB81, 2) <=> v124(constB81, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 2) <=> v124(constB81, 2)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[3544])).
% 217.76/140.31 tff(3546,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB81, 2) <=> v124(constB81, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 2) <=> v124(constB81, 2)))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3545, 3541])).
% 217.76/140.31 tff(3547,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB81, 2) <=> v124(constB81, 2)))),
% 217.76/140.31 inference(quant_inst,[status(thm)],[])).
% 217.76/140.31 tff(3548,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB81, B) <=> v124(constB81, B)))) | (v121(constB81, 2) <=> v124(constB81, 2))),
% 217.76/140.31 inference(modus_ponens,[status(thm)],[3547, 3546])).
% 217.76/140.31 tff(3549,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3548, 2650, 3540])).
% 217.76/140.31 tff(3550,plain,(v121(constB81, 2) <=> v124(constB81, 2)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3551,plain,
% 217.76/140.31 ((~(v121(constB81, 2) <=> v124(constB81, 2))) | (~v121(constB81, 2)) | v124(constB81, 2)),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3552,plain,
% 217.76/140.31 ((~v121(constB81, 2)) | v124(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3551, 3550])).
% 217.76/140.31 tff(3553,plain,
% 217.76/140.31 (v124(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3552, 3539])).
% 217.76/140.31 tff(3554,assumption,(v124(constB81, 2)), introduced(assumption)).
% 217.76/140.31 tff(3555,plain,
% 217.76/140.31 ((~(v124(constB81, 2) <=> b011(2))) | (~v124(constB81, 2)) | b011(2)),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3556,plain,
% 217.76/140.31 (~(v124(constB81, 2) <=> b011(2))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3555, 2569, 3554])).
% 217.76/140.31 tff(3557,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))), introduced(assumption)).
% 217.76/140.31 tff(3558,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | (v124(constB81, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | (v124(constB81, 2) <=> b011(2)))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3559,plain,
% 217.76/140.31 (($false | $false | (v124(constB81, 2) <=> b011(2))) <=> (v124(constB81, 2) <=> b011(2))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3560,plain,
% 217.76/140.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB81, 2) <=> b011(2))) <=> ($false | $false | (v124(constB81, 2) <=> b011(2)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.31 tff(3561,plain,
% 217.76/140.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB81, 2) <=> b011(2))) <=> (v124(constB81, 2) <=> b011(2))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3560, 3559])).
% 217.76/140.31 tff(3562,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB81, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | (v124(constB81, 2) <=> b011(2)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[3561])).
% 217.76/140.31 tff(3563,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB81, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | (v124(constB81, 2) <=> b011(2)))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3562, 3558])).
% 217.76/140.31 tff(3564,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB81, 2) <=> b011(2)))),
% 217.76/140.31 inference(quant_inst,[status(thm)],[])).
% 217.76/140.31 tff(3565,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | (v124(constB81, 2) <=> b011(2))),
% 217.76/140.31 inference(modus_ponens,[status(thm)],[3564, 3563])).
% 217.76/140.31 tff(3566,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3565, 3557, 3556])).
% 217.76/140.31 tff(3567,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | (~v124(constB81, 2))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3568,plain,
% 217.76/140.31 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3567, 3553])).
% 217.76/140.31 tff(3569,plain,
% 217.76/140.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B))))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3570,plain,
% 217.76/140.31 (((~v115(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B))))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3571,plain,
% 217.76/140.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[3570])).
% 217.76/140.31 tff(3572,plain,
% 217.76/140.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B))))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3571, 3569])).
% 217.76/140.31 tff(3573,plain,
% 217.76/140.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.31 inference(quant_inst,[status(thm)],[])).
% 217.76/140.31 tff(3574,plain,
% 217.76/140.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))),
% 217.76/140.31 inference(modus_ponens,[status(thm)],[3573, 3572])).
% 217.76/140.31 tff(3575,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3574, 2144, 3568, 3469])).
% 217.76/140.31 tff(3576,plain,((v108(constB83) | v119(constB83)) | v84(constB81, 2) | (~v84(constB79, 0))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3577,plain,
% 217.76/140.31 (v84(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3576, 3223, 2642])).
% 217.76/140.31 tff(3578,plain,
% 217.76/140.31 ((v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))) | (~v84(constB81, 2))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3579,plain,
% 217.76/140.31 (v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3578, 3577])).
% 217.76/140.31 tff(3580,plain,
% 217.76/140.31 (v84(constB83, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2896, 2642])).
% 217.76/140.31 tff(3581,plain,
% 217.76/140.31 (v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[871, 3580])).
% 217.76/140.31 tff(3582,plain,
% 217.76/140.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[242, 1])).
% 217.76/140.31 tff(3583,plain,
% 217.76/140.31 (v84(constB80, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[327, 3223, 3582])).
% 217.76/140.31 tff(3584,plain,
% 217.76/140.31 (v84(constB81, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[375, 3583])).
% 217.76/140.31 tff(3585,plain,
% 217.76/140.31 (v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[664, 3584])).
% 217.76/140.31 tff(3586,assumption,(v116(constB79)), introduced(assumption)).
% 217.76/140.31 tff(3587,plain,
% 217.76/140.31 (v111(constB79) | v116(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[558, 3586])).
% 217.76/140.31 tff(3588,plain,
% 217.76/140.31 ((~(v110(constB79) <=> (v111(constB79) | v116(constB79)))) | v110(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[466, 3587])).
% 217.76/140.31 tff(3589,plain,
% 217.76/140.31 (v110(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3588, 449])).
% 217.76/140.31 tff(3590,plain,
% 217.76/140.31 (v110(constB79) | v117(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[464, 3589])).
% 217.76/140.31 tff(3591,plain,
% 217.76/140.31 (v109(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[461, 3590, 458])).
% 217.76/140.31 tff(3592,plain,
% 217.76/140.31 (v109(constB79) | v118(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[459, 3591])).
% 217.76/140.31 tff(3593,plain,
% 217.76/140.31 (v108(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[433, 3592])).
% 217.76/140.31 tff(3594,plain,
% 217.76/140.31 (v108(constB79) | v119(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[419, 3593])).
% 217.76/140.31 tff(3595,plain,
% 217.76/140.31 (v107(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[192, 3594])).
% 217.76/140.31 tff(3596,plain,
% 217.76/140.31 (~((~v107(constB79)) | (~v120(constB79)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[178, 3595])).
% 217.76/140.31 tff(3597,plain,
% 217.76/140.31 (v106(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[136, 3596])).
% 217.76/140.31 tff(3598,plain,
% 217.76/140.31 (v105(constB79) | v106(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[121, 3597])).
% 217.76/140.31 tff(3599,plain,
% 217.76/140.31 (v102(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[119, 3598])).
% 217.76/140.31 tff(3600,plain,
% 217.76/140.31 (v104(constB80)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[107, 3599])).
% 217.76/140.31 tff(3601,plain,
% 217.76/140.31 (~((~v95(constB80)) | (~v104(constB80)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[90, 3600])).
% 217.76/140.31 tff(3602,plain,
% 217.76/140.31 (v94(constB80)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[23, 3601])).
% 217.76/140.31 tff(3603,plain,
% 217.76/140.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1708, 3602])).
% 217.76/140.31 tff(3604,plain,
% 217.76/140.31 (v84(constB80, 0) <=> v123(constB80, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1909, 3603])).
% 217.76/140.31 tff(3605,assumption,(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))), introduced(assumption)).
% 217.76/140.31 tff(3606,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))), introduced(assumption)).
% 217.76/140.31 tff(3607,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3434, 2230, 3606, 3586])).
% 217.76/140.31 tff(3608,plain,((~v116(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3609,plain,
% 217.76/140.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3608, 3586])).
% 217.76/140.31 tff(3610,assumption,(v124(constB79, 1)), introduced(assumption)).
% 217.76/140.31 tff(3611,plain,
% 217.76/140.31 ((~(v124(constB79, 1) <=> b100(1))) | (~v124(constB79, 1)) | b100(1)),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3612,plain,
% 217.76/140.31 (~(v124(constB79, 1) <=> b100(1))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3611, 2274, 3610])).
% 217.76/140.31 tff(3613,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))), introduced(assumption)).
% 217.76/140.31 tff(3614,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 1) <=> b100(1)))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3615,plain,
% 217.76/140.31 (($false | $false | (v124(constB79, 1) <=> b100(1))) <=> (v124(constB79, 1) <=> b100(1))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3616,plain,
% 217.76/140.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b100(1))) <=> ($false | $false | (v124(constB79, 1) <=> b100(1)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.31 tff(3617,plain,
% 217.76/140.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b100(1))) <=> (v124(constB79, 1) <=> b100(1))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3616, 3615])).
% 217.76/140.31 tff(3618,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 1) <=> b100(1)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[3617])).
% 217.76/140.31 tff(3619,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 1) <=> b100(1)))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3618, 3614])).
% 217.76/140.31 tff(3620,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB79, 1) <=> b100(1)))),
% 217.76/140.31 inference(quant_inst,[status(thm)],[])).
% 217.76/140.31 tff(3621,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 1) <=> b100(1))),
% 217.76/140.31 inference(modus_ponens,[status(thm)],[3620, 3619])).
% 217.76/140.31 tff(3622,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3621, 3613, 3612])).
% 217.76/140.31 tff(3623,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (~v124(constB79, 1))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3624,plain,
% 217.76/140.31 (~v124(constB79, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3623, 3609])).
% 217.76/140.31 tff(3625,plain,
% 217.76/140.31 ((~v121(constB79, 1)) | v124(constB79, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1889, 3279])).
% 217.76/140.31 tff(3626,plain,
% 217.76/140.31 (~v121(constB79, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3625, 3624])).
% 217.76/140.31 tff(3627,plain,
% 217.76/140.31 ((~v123(constB80, 1)) | v121(constB79, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1892, 3274])).
% 217.76/140.31 tff(3628,plain,
% 217.76/140.31 (~v123(constB80, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3627, 3626])).
% 217.76/140.31 tff(3629,plain,
% 217.76/140.31 (v84(constB80, 1) <=> v123(constB80, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3264, 3603])).
% 217.76/140.31 tff(3630,plain,
% 217.76/140.31 (~v84(constB80, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1895, 3629, 3628])).
% 217.76/140.31 tff(3631,plain,
% 217.76/140.31 (~v84(constB80, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[375, 1206])).
% 217.76/140.31 tff(3632,plain,
% 217.76/140.31 (v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1157, 1206])).
% 217.76/140.31 tff(3633,plain,
% 217.76/140.31 (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2394, 1206, 1204])).
% 217.76/140.31 tff(3634,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2639, 3633, 3632])).
% 217.76/140.31 tff(3635,plain,(v84(constB81, 0) | v84(constB78, 0)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3636,plain,
% 217.76/140.31 (v84(constB78, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3635, 1206])).
% 217.76/140.31 tff(3637,plain,
% 217.76/140.31 (v84(constB79, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1202, 3636])).
% 217.76/140.31 tff(3638,plain,
% 217.76/140.31 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v84(constB79, B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[327, 3637, 3631])).
% 217.76/140.31 tff(3639,plain,
% 217.76/140.31 (v94(constB80)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[242, 3638])).
% 217.76/140.31 tff(3640,plain,
% 217.76/140.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1708, 3639])).
% 217.76/140.31 tff(3641,plain,
% 217.76/140.31 (v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3242, 3637])).
% 217.76/140.31 tff(3642,plain,
% 217.76/140.31 (~v119(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3245, 3641])).
% 217.76/140.31 tff(3643,plain,
% 217.76/140.31 (~((~v95(constB80)) | (~v104(constB80)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[215, 3639])).
% 217.76/140.31 tff(3644,plain,
% 217.76/140.31 (v104(constB80)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[212, 3643])).
% 217.76/140.31 tff(3645,plain,
% 217.76/140.31 (v102(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[210, 3644])).
% 217.76/140.31 tff(3646,plain,
% 217.76/140.31 (v105(constB79) | v106(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[207, 3645])).
% 217.76/140.31 tff(3647,plain,
% 217.76/140.31 (v106(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[204, 3646])).
% 217.76/140.31 tff(3648,plain,
% 217.76/140.31 (~((~v107(constB79)) | (~v120(constB79)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[201, 3647])).
% 217.76/140.31 tff(3649,plain,
% 217.76/140.31 (v107(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[198, 3648])).
% 217.76/140.31 tff(3650,plain,
% 217.76/140.31 (v108(constB79) | v119(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[196, 3649])).
% 217.76/140.31 tff(3651,plain,
% 217.76/140.31 (v108(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3255, 3650, 3642])).
% 217.76/140.31 tff(3652,plain,
% 217.76/140.31 (v109(constB79) | v118(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3258, 3651])).
% 217.76/140.31 tff(3653,plain,
% 217.76/140.31 (v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3459, 3652, 3637, 3640])).
% 217.76/140.31 tff(3654,assumption,(~v84(constB80, 1)), introduced(assumption)).
% 217.76/140.31 tff(3655,assumption,(~v84(constB80, 2)), introduced(assumption)).
% 217.76/140.31 tff(3656,plain,
% 217.76/140.31 ((~(v84(constB81, 2) <=> v84(constB80, 2))) | (~v84(constB81, 2))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1844, 3655])).
% 217.76/140.31 tff(3657,plain,
% 217.76/140.31 (~v84(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3656, 541])).
% 217.76/140.31 tff(3658,plain,
% 217.76/140.31 ((~(v84(constB81, 1) <=> v84(constB80, 1))) | (~v84(constB81, 1))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1898, 3654])).
% 217.76/140.31 tff(3659,plain,
% 217.76/140.31 (~v84(constB81, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3658, 409])).
% 217.76/140.31 tff(3660,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3462, 3659, 3657, 1206, 3461])).
% 217.76/140.31 tff(3661,plain,(v84(constB81, 0) | (~(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2))) | v84(constB80, 1) | v84(constB80, 2)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3662,plain,
% 217.76/140.31 (v84(constB80, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3661, 3654, 1206, 3653])).
% 217.76/140.31 tff(3663,plain,
% 217.76/140.31 ((~(v84(constB81, 2) <=> v84(constB80, 2))) | v84(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[568, 3662])).
% 217.76/140.31 tff(3664,plain,
% 217.76/140.31 (v84(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3663, 541])).
% 217.76/140.31 tff(3665,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3498, 3659, 3664, 3605])).
% 217.76/140.31 tff(3666,plain,(v84(constB80, 1) | (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))) | v84(constB81, 0)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3667,plain,
% 217.76/140.31 (v84(constB81, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3666, 3630, 3605])).
% 217.76/140.31 tff(3668,plain,
% 217.76/140.31 (v84(constB80, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1155, 3667])).
% 217.76/140.31 tff(3669,plain,
% 217.76/140.31 ((~(v84(constB80, 0) <=> v123(constB80, 0))) | v123(constB80, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3378, 3668])).
% 217.76/140.31 tff(3670,plain,
% 217.76/140.31 (v123(constB80, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3669, 3604])).
% 217.76/140.31 tff(3671,assumption,(v124(constB79, 0)), introduced(assumption)).
% 217.76/140.31 tff(3672,plain,
% 217.76/140.31 ((~b100(0)) <=> (~b100(0))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3673,axiom,(~b100(0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_12')).
% 217.76/140.31 tff(3674,plain,
% 217.76/140.31 (~b100(0)),
% 217.76/140.31 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 217.76/140.31 tff(3675,plain,
% 217.76/140.31 ((~(v124(constB79, 0) <=> b100(0))) | (~v124(constB79, 0)) | b100(0)),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3676,plain,
% 217.76/140.31 (~(v124(constB79, 0) <=> b100(0))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3675, 3674, 3671])).
% 217.76/140.31 tff(3677,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 0) <=> b100(0)))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3678,plain,
% 217.76/140.31 (($false | $false | (v124(constB79, 0) <=> b100(0))) <=> (v124(constB79, 0) <=> b100(0))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3679,plain,
% 217.76/140.31 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b100(0))) <=> ($false | $false | (v124(constB79, 0) <=> b100(0)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.31 tff(3680,plain,
% 217.76/140.31 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b100(0))) <=> (v124(constB79, 0) <=> b100(0))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3679, 3678])).
% 217.76/140.31 tff(3681,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 0) <=> b100(0)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[3680])).
% 217.76/140.31 tff(3682,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 0) <=> b100(0)))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3681, 3677])).
% 217.76/140.31 tff(3683,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b100(0)))),
% 217.76/140.31 inference(quant_inst,[status(thm)],[])).
% 217.76/140.31 tff(3684,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (v124(constB79, 0) <=> b100(0))),
% 217.76/140.31 inference(modus_ponens,[status(thm)],[3683, 3682])).
% 217.76/140.31 tff(3685,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3684, 3613, 3676])).
% 217.76/140.31 tff(3686,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))) | (~v124(constB79, 0))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3687,plain,
% 217.76/140.31 (~v124(constB79, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3686, 3609])).
% 217.76/140.31 tff(3688,plain,
% 217.76/140.31 ((~(v121(constB79, 0) <=> v124(constB79, 0))) | (~v121(constB79, 0))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3372, 3687])).
% 217.76/140.31 tff(3689,plain,
% 217.76/140.31 (~v121(constB79, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3688, 1928])).
% 217.76/140.31 tff(3690,assumption,(~(v123(constB80, 0) <=> v121(constB79, 0))), introduced(assumption)).
% 217.76/140.31 tff(3691,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[1918, 1725, 3690])).
% 217.76/140.31 tff(3692,plain,(v123(constB80, 0) <=> v121(constB79, 0)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3693,plain,
% 217.76/140.31 ((~v123(constB80, 0)) | v121(constB79, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3375, 3692])).
% 217.76/140.31 tff(3694,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3693, 3689, 3670])).
% 217.76/140.31 tff(3695,plain,((~v116(constB79)) | (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3696,plain,
% 217.76/140.31 (~v116(constB79)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3695, 3585])).
% 217.76/140.31 tff(3697,assumption,(v84(constB81, 2)), introduced(assumption)).
% 217.76/140.31 tff(3698,plain,
% 217.76/140.31 (v84(constB83, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2877, 2742])).
% 217.76/140.31 tff(3699,plain,
% 217.76/140.31 (v84(constB82, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3071, 3698])).
% 217.76/140.31 tff(3700,plain,
% 217.76/140.31 ((v109(constB81) | v118(constB81)) | (~v118(constB81))),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3701,plain,
% 217.76/140.31 (v109(constB81) | v118(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3700, 3165])).
% 217.76/140.31 tff(3702,plain,
% 217.76/140.31 (v108(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2926, 3701])).
% 217.76/140.31 tff(3703,plain,
% 217.76/140.31 (v108(constB81) | v119(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2928, 3702])).
% 217.76/140.31 tff(3704,plain,
% 217.76/140.31 (v107(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2931, 3703])).
% 217.76/140.31 tff(3705,plain,
% 217.76/140.31 (~((~v107(constB81)) | (~v120(constB81)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2939, 3704])).
% 217.76/140.31 tff(3706,plain,
% 217.76/140.31 (v106(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2942, 3705])).
% 217.76/140.31 tff(3707,plain,
% 217.76/140.31 (v105(constB81) | v106(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2944, 3706])).
% 217.76/140.31 tff(3708,plain,
% 217.76/140.31 (v102(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2947, 3707])).
% 217.76/140.31 tff(3709,plain,
% 217.76/140.31 (v104(constB82)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2950, 3708])).
% 217.76/140.31 tff(3710,plain,
% 217.76/140.31 (~((~v95(constB82)) | (~v104(constB82)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2981, 3709])).
% 217.76/140.31 tff(3711,plain,
% 217.76/140.31 (v94(constB82)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2984, 3710])).
% 217.76/140.31 tff(3712,plain,
% 217.76/140.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2992, 3711])).
% 217.76/140.31 tff(3713,plain,
% 217.76/140.31 (v84(constB82, 0) <=> v123(constB82, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3125, 3712])).
% 217.76/140.31 tff(3714,plain,
% 217.76/140.31 (v123(constB82, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3128, 3713])).
% 217.76/140.31 tff(3715,plain,
% 217.76/140.31 ((~v123(constB82, 0)) | v121(constB81, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3130, 3192])).
% 217.76/140.31 tff(3716,plain,
% 217.76/140.31 (v121(constB81, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3715, 3714])).
% 217.76/140.31 tff(3717,plain,
% 217.76/140.31 ((~v121(constB81, 0)) | v124(constB81, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3133, 2660])).
% 217.76/140.31 tff(3718,plain,
% 217.76/140.31 (v124(constB81, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3717, 3716])).
% 217.76/140.31 tff(3719,plain,
% 217.76/140.31 (~(v124(constB81, 0) <=> b110(0))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3187, 3186, 3718])).
% 217.76/140.31 tff(3720,plain,
% 217.76/140.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3173, 3165])).
% 217.76/140.31 tff(3721,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3182, 3720, 3719])).
% 217.76/140.31 tff(3722,plain,((~v118(constB81)) | (~v84(constB82, 0))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3723,plain,
% 217.76/140.31 (~v118(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3722, 3699])).
% 217.76/140.31 tff(3724,assumption,(~(v118(constB81) <=> (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))))), introduced(assumption)).
% 217.76/140.31 tff(3725,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[395, 394, 3724])).
% 217.76/140.31 tff(3726,plain,(v118(constB81) <=> (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3727,plain,
% 217.76/140.31 (v118(constB81) | (v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3161, 3726])).
% 217.76/140.31 tff(3728,plain,
% 217.76/140.31 (v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3727, 3723])).
% 217.76/140.31 tff(3729,plain,
% 217.76/140.31 (~v84(constB81, 0)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2390, 3728, 3659, 3697])).
% 217.76/140.31 tff(3730,plain,
% 217.76/140.31 (v108(constB81) | v119(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3503, 1206])).
% 217.76/140.31 tff(3731,plain,
% 217.76/140.31 (v107(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2931, 3730])).
% 217.76/140.31 tff(3732,plain,
% 217.76/140.31 (~((~v107(constB81)) | (~v120(constB81)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2939, 3731])).
% 217.76/140.31 tff(3733,plain,
% 217.76/140.31 (v106(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2942, 3732])).
% 217.76/140.31 tff(3734,plain,
% 217.76/140.31 (v105(constB81) | v106(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2944, 3733])).
% 217.76/140.31 tff(3735,plain,
% 217.76/140.31 (v102(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2947, 3734])).
% 217.76/140.31 tff(3736,plain,
% 217.76/140.31 (v104(constB82)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2950, 3735])).
% 217.76/140.31 tff(3737,plain,
% 217.76/140.31 (~((~v95(constB82)) | (~v104(constB82)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2981, 3736])).
% 217.76/140.31 tff(3738,plain,
% 217.76/140.31 (v94(constB82)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2984, 3737])).
% 217.76/140.31 tff(3739,plain,
% 217.76/140.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2992, 3738])).
% 217.76/140.31 tff(3740,plain,
% 217.76/140.31 (v84(constB82, 1) <=> v123(constB82, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3005, 3739])).
% 217.76/140.31 tff(3741,plain,
% 217.76/140.31 (v123(constB82, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3007, 3740, 2912])).
% 217.76/140.31 tff(3742,plain,
% 217.76/140.31 (v121(constB81, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3028, 3741])).
% 217.76/140.31 tff(3743,plain,
% 217.76/140.31 (v124(constB81, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3042, 3742])).
% 217.76/140.31 tff(3744,plain,
% 217.76/140.31 ((~(v124(constB81, 1) <=> b101(1))) | (~v124(constB81, 1)) | b101(1)),
% 217.76/140.31 inference(tautology,[status(thm)],[])).
% 217.76/140.31 tff(3745,plain,
% 217.76/140.31 (~(v124(constB81, 1) <=> b101(1))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3744, 2330, 3743])).
% 217.76/140.31 tff(3746,plain,
% 217.76/140.31 (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3666, 1206, 3654])).
% 217.76/140.31 tff(3747,plain,
% 217.76/140.31 (v117(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3495, 3746, 663])).
% 217.76/140.31 tff(3748,plain,
% 217.76/140.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B))))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3749,plain,
% 217.76/140.31 (((~v117(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B))))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3750,plain,
% 217.76/140.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[3749])).
% 217.76/140.31 tff(3751,plain,
% 217.76/140.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B))))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3750, 3748])).
% 217.76/140.31 tff(3752,plain,
% 217.76/140.31 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.31 inference(quant_inst,[status(thm)],[])).
% 217.76/140.31 tff(3753,plain,
% 217.76/140.31 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))),
% 217.76/140.31 inference(modus_ponens,[status(thm)],[3752, 3751])).
% 217.76/140.31 tff(3754,plain,
% 217.76/140.31 ((~v117(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3753, 2090])).
% 217.76/140.31 tff(3755,plain,
% 217.76/140.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3754, 3747])).
% 217.76/140.31 tff(3756,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | (v124(constB81, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | (v124(constB81, 1) <=> b101(1)))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3757,plain,
% 217.76/140.31 (($false | $false | (v124(constB81, 1) <=> b101(1))) <=> (v124(constB81, 1) <=> b101(1))),
% 217.76/140.31 inference(rewrite,[status(thm)],[])).
% 217.76/140.31 tff(3758,plain,
% 217.76/140.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b101(1))) <=> ($false | $false | (v124(constB81, 1) <=> b101(1)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.31 tff(3759,plain,
% 217.76/140.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b101(1))) <=> (v124(constB81, 1) <=> b101(1))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3758, 3757])).
% 217.76/140.31 tff(3760,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | (v124(constB81, 1) <=> b101(1)))),
% 217.76/140.31 inference(monotonicity,[status(thm)],[3759])).
% 217.76/140.31 tff(3761,plain,
% 217.76/140.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | (v124(constB81, 1) <=> b101(1)))),
% 217.76/140.31 inference(transitivity,[status(thm)],[3760, 3756])).
% 217.76/140.31 tff(3762,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b101(1)))),
% 217.76/140.31 inference(quant_inst,[status(thm)],[])).
% 217.76/140.31 tff(3763,plain,
% 217.76/140.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | (v124(constB81, 1) <=> b101(1))),
% 217.76/140.31 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 217.76/140.31 tff(3764,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3763, 3755, 3745])).
% 217.76/140.31 tff(3765,plain,(v84(constB81, 0) | (~v84(constB82, 1)) | v84(constB80, 1)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3766,plain,
% 217.76/140.31 (~v84(constB82, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3765, 3729, 3654])).
% 217.76/140.31 tff(3767,plain,
% 217.76/140.31 (~v84(constB83, 1)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2910, 3766])).
% 217.76/140.31 tff(3768,plain,
% 217.76/140.31 (v107(constB83) | (~(v108(constB83) | v119(constB83)))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2797, 2696])).
% 217.76/140.31 tff(3769,plain,
% 217.76/140.31 (~(v108(constB83) | v119(constB83))),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3768, 2796])).
% 217.76/140.31 tff(3770,plain,
% 217.76/140.31 ($false),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[2905, 3769, 3767])).
% 217.76/140.31 tff(3771,plain,(v94(constB84) | v84(constB80, 1) | (~v84(constB81, 2))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.31 tff(3772,plain,
% 217.76/140.31 (~v84(constB81, 2)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3771, 2742, 3654])).
% 217.76/140.31 tff(3773,plain,
% 217.76/140.31 (~v118(constB81)),
% 217.76/140.31 inference(unit_resolution,[status(thm)],[3722, 1064])).
% 217.76/140.32 tff(3774,plain,
% 217.76/140.32 (v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3158, 1064])).
% 217.76/140.32 tff(3775,plain,
% 217.76/140.32 (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2392, 3774, 1205, 1204])).
% 217.76/140.32 tff(3776,plain,
% 217.76/140.32 ($false),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3727, 3775, 3773])).
% 217.76/140.32 tff(3777,plain,((~v84(constB82, 0)) | (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))) | v84(constB78, 0)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.32 tff(3778,plain,
% 217.76/140.32 (v84(constB78, 0)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3777, 3699, 1205])).
% 217.76/140.32 tff(3779,plain,
% 217.76/140.32 (v84(constB79, 0)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1202, 3778])).
% 217.76/140.32 tff(3780,plain,
% 217.76/140.32 (v108(constB83) | v119(constB83)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3576, 3779, 3772])).
% 217.76/140.32 tff(3781,plain,
% 217.76/140.32 (v107(constB83)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3768, 3780])).
% 217.76/140.32 tff(3782,plain,
% 217.76/140.32 ($false),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2795, 3781, 2788])).
% 217.76/140.32 tff(3783,plain,(v94(constB84) | (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))) | v84(constB80, 1)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.32 tff(3784,plain,
% 217.76/140.32 (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3783, 2742, 3654])).
% 217.76/140.32 tff(3785,assumption,(~(v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))))), introduced(assumption)).
% 217.76/140.32 tff(3786,plain,
% 217.76/140.32 ($false),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2176, 298, 3785])).
% 217.76/140.32 tff(3787,plain,(v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.32 tff(3788,plain,
% 217.76/140.32 (v114(constB77) | (v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2397, 3787])).
% 217.76/140.32 tff(3789,plain,
% 217.76/140.32 (v114(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3788, 3784])).
% 217.76/140.32 tff(3790,assumption,(v84(constB78, 0)), introduced(assumption)).
% 217.76/140.32 tff(3791,assumption,(v114(constB77)), introduced(assumption)).
% 217.76/140.32 tff(3792,plain,
% 217.76/140.32 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b010(B)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2424, 2418, 3791])).
% 217.76/140.32 tff(3793,plain,
% 217.76/140.32 (v124(constB77, 0) <=> b010(0)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2433, 3792])).
% 217.76/140.32 tff(3794,plain,
% 217.76/140.32 (~v124(constB77, 0)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2439, 3793])).
% 217.76/140.32 tff(3795,assumption,(~(v121(constB77, 0) <=> v124(constB77, 0))), introduced(assumption)).
% 217.76/140.32 tff(3796,plain,
% 217.76/140.32 ($false),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1993, 1569, 3795])).
% 217.76/140.32 tff(3797,plain,(v121(constB77, 0) <=> v124(constB77, 0)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.32 tff(3798,plain,
% 217.76/140.32 ((~v121(constB77, 0)) | v124(constB77, 0)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2441, 3797])).
% 217.76/140.32 tff(3799,plain,
% 217.76/140.32 (~v121(constB77, 0)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3798, 3794])).
% 217.76/140.32 tff(3800,assumption,(~(v123(constB78, 0) <=> v121(constB77, 0))), introduced(assumption)).
% 217.76/140.32 tff(3801,plain,
% 217.76/140.32 ($false),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2002, 1534, 3800])).
% 217.76/140.32 tff(3802,plain,(v123(constB78, 0) <=> v121(constB77, 0)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.32 tff(3803,plain,
% 217.76/140.32 ((~v123(constB78, 0)) | v121(constB77, 0)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2636, 3802])).
% 217.76/140.32 tff(3804,plain,
% 217.76/140.32 (~v123(constB78, 0)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3803, 3799])).
% 217.76/140.32 tff(3805,plain,
% 217.76/140.32 (~(v84(constB78, 0) <=> v123(constB78, 0))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2633, 3804, 3790])).
% 217.76/140.32 tff(3806,assumption,(~(v84(constB78, 0) <=> v123(constB78, 0))), introduced(assumption)).
% 217.76/140.32 tff(3807,plain,
% 217.76/140.32 ($false),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2011, 1584, 3806])).
% 217.76/140.32 tff(3808,plain,((v84(constB78, 0) <=> v123(constB78, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.32 tff(3809,plain,
% 217.76/140.32 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3808, 3805])).
% 217.76/140.32 tff(3810,plain,
% 217.76/140.32 (~v94(constB78)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1498, 3809])).
% 217.76/140.32 tff(3811,plain,
% 217.76/140.32 ((~v95(constB78)) | (~v104(constB78))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1246, 3810])).
% 217.76/140.32 tff(3812,plain,
% 217.76/140.32 (~v104(constB78)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1280, 3811])).
% 217.76/140.32 tff(3813,plain,
% 217.76/140.32 (~v102(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1287, 3812])).
% 217.76/140.32 tff(3814,plain,
% 217.76/140.32 (~(v105(constB77) | v106(constB77))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1292, 3813])).
% 217.76/140.32 tff(3815,plain,
% 217.76/140.32 (v113(constB77) | v114(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2444, 3791])).
% 217.76/140.32 tff(3816,plain,
% 217.76/140.32 ((~(v112(constB77) <=> (v113(constB77) | v114(constB77)))) | v112(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1420, 3815])).
% 217.76/140.32 tff(3817,plain,
% 217.76/140.32 (v112(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3816, 1404])).
% 217.76/140.32 tff(3818,plain,
% 217.76/140.32 (v112(constB77) | v115(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1418, 3817])).
% 217.76/140.32 tff(3819,plain,
% 217.76/140.32 ((~(v111(constB77) <=> (v112(constB77) | v115(constB77)))) | v111(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1415, 3818])).
% 217.76/140.32 tff(3820,plain,
% 217.76/140.32 (v111(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3819, 1406])).
% 217.76/140.32 tff(3821,plain,
% 217.76/140.32 (v111(constB77) | v116(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1413, 3820])).
% 217.76/140.32 tff(3822,plain,
% 217.76/140.32 (v110(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1410, 3821, 1408])).
% 217.76/140.32 tff(3823,plain,
% 217.76/140.32 (v110(constB77) | v117(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1399, 3822])).
% 217.76/140.32 tff(3824,plain,
% 217.76/140.32 (v109(constB77) | (~(v110(constB77) | v117(constB77)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1397, 1387])).
% 217.76/140.32 tff(3825,plain,
% 217.76/140.32 (v109(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3824, 3823])).
% 217.76/140.32 tff(3826,plain,
% 217.76/140.32 (v109(constB77) | v118(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1395, 3825])).
% 217.76/140.32 tff(3827,plain,
% 217.76/140.32 (v108(constB77) | (~(v109(constB77) | v118(constB77)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1392, 1389])).
% 217.76/140.32 tff(3828,plain,
% 217.76/140.32 (v108(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3827, 3826])).
% 217.76/140.32 tff(3829,plain,
% 217.76/140.32 (v108(constB77) | v119(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1390, 3828])).
% 217.76/140.32 tff(3830,plain,
% 217.76/140.32 (v107(constB77) | (~(v108(constB77) | v119(constB77)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1316, 1236])).
% 217.76/140.32 tff(3831,plain,
% 217.76/140.32 (v107(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3830, 3829])).
% 217.76/140.32 tff(3832,plain,
% 217.76/140.32 (~((~v107(constB77)) | (~v120(constB77)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1314, 3831])).
% 217.76/140.32 tff(3833,plain,
% 217.76/140.32 (v106(constB77)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1299, 3832])).
% 217.76/140.32 tff(3834,plain,
% 217.76/140.32 ($false),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[1294, 3833, 3814])).
% 217.76/140.32 tff(3835,plain,((~v114(constB77)) | (~v84(constB78, 0))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.32 tff(3836,plain,
% 217.76/140.32 (~v84(constB78, 0)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3835, 3789])).
% 217.76/140.32 tff(3837,plain,
% 217.76/140.32 (v108(constB83) | v119(constB83)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3221, 3836])).
% 217.76/140.32 tff(3838,plain,
% 217.76/140.32 (v107(constB83)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3768, 3837])).
% 217.76/140.32 tff(3839,plain,
% 217.76/140.32 ($false),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2795, 2788, 3838])).
% 217.76/140.32 tff(3840,plain,(v94(constB84) | v84(constB80, 1)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.32 tff(3841,plain,
% 217.76/140.32 (v94(constB84)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3840, 3654])).
% 217.76/140.32 tff(3842,plain,
% 217.76/140.32 (~((~v95(constB84)) | (~v104(constB84)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2739, 3841])).
% 217.76/140.32 tff(3843,plain,
% 217.76/140.32 (v104(constB84)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2732, 3842])).
% 217.76/140.32 tff(3844,plain,
% 217.76/140.32 (v102(constB83)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2730, 3843])).
% 217.76/140.32 tff(3845,plain,
% 217.76/140.32 (v105(constB83) | v106(constB83)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2720, 3844])).
% 217.76/140.32 tff(3846,plain,
% 217.76/140.32 (v106(constB83)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2715, 3845])).
% 217.76/140.32 tff(3847,plain,
% 217.76/140.32 (~((~v107(constB83)) | (~v120(constB83)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2705, 3846])).
% 217.76/140.32 tff(3848,plain,
% 217.76/140.32 (v107(constB83)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2700, 3847])).
% 217.76/140.32 tff(3849,plain,
% 217.76/140.32 (v108(constB83) | v119(constB83)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2698, 3848])).
% 217.76/140.32 tff(3850,plain,
% 217.76/140.32 (v108(constB79) | v119(constB79)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[2641, 3849])).
% 217.76/140.32 tff(3851,assumption,(v108(constB79) | v119(constB79)), introduced(assumption)).
% 217.76/140.32 tff(3852,assumption,(~v107(constB73)), introduced(assumption)).
% 217.76/140.32 tff(3853,plain,
% 217.76/140.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 1) <=> v84(constB76, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 1) <=> v84(constB76, 1)))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3854,plain,
% 217.76/140.32 (($false | $false | (v84(constB77, 1) <=> v84(constB76, 1))) <=> (v84(constB77, 1) <=> v84(constB76, 1))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3855,plain,
% 217.76/140.32 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB77, 1) <=> v84(constB76, 1))) <=> ($false | $false | (v84(constB77, 1) <=> v84(constB76, 1)))),
% 217.76/140.32 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.32 tff(3856,plain,
% 217.76/140.32 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB77, 1) <=> v84(constB76, 1))) <=> (v84(constB77, 1) <=> v84(constB76, 1))),
% 217.76/140.32 inference(transitivity,[status(thm)],[3855, 3854])).
% 217.76/140.32 tff(3857,plain,
% 217.76/140.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB77, 1) <=> v84(constB76, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 1) <=> v84(constB76, 1)))),
% 217.76/140.32 inference(monotonicity,[status(thm)],[3856])).
% 217.76/140.32 tff(3858,plain,
% 217.76/140.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB77, 1) <=> v84(constB76, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 1) <=> v84(constB76, 1)))),
% 217.76/140.32 inference(transitivity,[status(thm)],[3857, 3853])).
% 217.76/140.32 tff(3859,plain,
% 217.76/140.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB77, 1) <=> v84(constB76, 1)))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3860,plain,
% 217.76/140.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 1) <=> v84(constB76, 1))),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3859, 3858])).
% 217.76/140.32 tff(3861,plain,
% 217.76/140.32 (v84(constB77, 1) <=> v84(constB76, 1)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3860, 1353])).
% 217.76/140.32 tff(3862,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB75) <=> (v108(constB75) | v119(constB75)))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3863,plain,
% 217.76/140.32 (v107(constB75) <=> (v108(constB75) | v119(constB75))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3862, 187])).
% 217.76/140.32 tff(3864,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB75) <=> (v109(constB75) | v118(constB75)))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3865,plain,
% 217.76/140.32 (v108(constB75) <=> (v109(constB75) | v118(constB75))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3864, 428])).
% 217.76/140.32 tff(3866,plain,
% 217.76/140.32 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3867,plain,
% 217.76/140.32 ((v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 0)) | (~v84(constB75, 2))))) <=> (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3868,plain,
% 217.76/140.32 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 0)) | (~v84(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))))))),
% 217.76/140.32 inference(monotonicity,[status(thm)],[3867])).
% 217.76/140.32 tff(3869,plain,
% 217.76/140.32 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 0)) | (~v84(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))))))),
% 217.76/140.32 inference(transitivity,[status(thm)],[3868, 3866])).
% 217.76/140.32 tff(3870,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 0)) | (~v84(constB75, 2)))))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3871,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3870, 3869])).
% 217.76/140.32 tff(3872,plain,
% 217.76/140.32 (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3871, 394])).
% 217.76/140.32 tff(3873,plain,
% 217.76/140.32 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3874,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74')).
% 217.76/140.32 tff(3875,plain,
% 217.76/140.32 (nextState(constB74, constB75)),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3874, 3873])).
% 217.76/140.32 tff(3876,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75))))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3877,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75))))))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3878,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75)))))),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3877, 3876])).
% 217.76/140.32 tff(3879,plain,
% 217.76/140.32 (v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75))))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3878, 3875, 14])).
% 217.76/140.32 tff(3880,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3881,plain,
% 217.76/140.32 (((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75)))))) <=> ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3882,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))))),
% 217.76/140.32 inference(monotonicity,[status(thm)],[3881])).
% 217.76/140.32 tff(3883,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))),
% 217.76/140.32 inference(transitivity,[status(thm)],[3882, 3880])).
% 217.76/140.32 tff(3884,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75))))))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3885,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 217.76/140.32 tff(3886,plain,
% 217.76/140.32 (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3885, 3875, 37])).
% 217.76/140.32 tff(3887,plain,
% 217.76/140.32 ((~v1(constB75)) <=> (~v1(constB75))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3888,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75')).
% 217.76/140.32 tff(3889,plain,
% 217.76/140.32 (~v1(constB75)),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 217.76/140.32 tff(3890,plain,
% 217.76/140.32 (((~v1(constB75)) | (~v96(constB75))) | v1(constB75)),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3891,plain,
% 217.76/140.32 ((~v1(constB75)) | (~v96(constB75))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3890, 3889])).
% 217.76/140.32 tff(3892,plain,
% 217.76/140.32 ((~(v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))) | (~v95(constB75)) | (~((~v1(constB75)) | (~v96(constB75))))),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3893,plain,
% 217.76/140.32 ((~(v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))) | (~v95(constB75))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3892, 3891])).
% 217.76/140.32 tff(3894,plain,
% 217.76/140.32 (~v95(constB75)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3893, 3886])).
% 217.76/140.32 tff(3895,plain,
% 217.76/140.32 (((~v95(constB75)) | (~v104(constB75))) | v95(constB75)),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3896,plain,
% 217.76/140.32 ((~v95(constB75)) | (~v104(constB75))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3895, 3894])).
% 217.76/140.32 tff(3897,plain,
% 217.76/140.32 ((~(v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75)))))) | (~v94(constB75)) | (~((~v95(constB75)) | (~v104(constB75))))),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3898,plain,
% 217.76/140.32 (~v94(constB75)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3897, 3896, 3879])).
% 217.76/140.32 tff(3899,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB75) | (~nextState(constB74, constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB75) | (~nextState(constB74, constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3900,plain,
% 217.76/140.32 ((v94(constB75) | (~nextState(constB74, constB75)) | ![B: $int] : ((v84(constB75, B) <=> v84(constB74, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB75) | (~nextState(constB74, constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3901,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB75) | (~nextState(constB74, constB75)) | ![B: $int] : ((v84(constB75, B) <=> v84(constB74, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB75) | (~nextState(constB74, constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))))),
% 217.76/140.32 inference(monotonicity,[status(thm)],[3900])).
% 217.76/140.32 tff(3902,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB75) | (~nextState(constB74, constB75)) | ![B: $int] : ((v84(constB75, B) <=> v84(constB74, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB75) | (~nextState(constB74, constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B))))),
% 217.76/140.32 inference(transitivity,[status(thm)],[3901, 3899])).
% 217.76/140.32 tff(3903,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB75) | (~nextState(constB74, constB75)) | ![B: $int] : ((v84(constB75, B) <=> v84(constB74, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3904,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB75) | (~nextState(constB74, constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 217.76/140.32 tff(3905,plain,
% 217.76/140.32 (v94(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3904, 3875, 235])).
% 217.76/140.32 tff(3906,plain,
% 217.76/140.32 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3905, 3898])).
% 217.76/140.32 tff(3907,plain,
% 217.76/140.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 1) <=> v84(constB74, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 1) <=> v84(constB74, 1)))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3908,plain,
% 217.76/140.32 (($false | $false | (v84(constB75, 1) <=> v84(constB74, 1))) <=> (v84(constB75, 1) <=> v84(constB74, 1))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3909,plain,
% 217.76/140.32 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB75, 1) <=> v84(constB74, 1))) <=> ($false | $false | (v84(constB75, 1) <=> v84(constB74, 1)))),
% 217.76/140.32 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.32 tff(3910,plain,
% 217.76/140.32 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB75, 1) <=> v84(constB74, 1))) <=> (v84(constB75, 1) <=> v84(constB74, 1))),
% 217.76/140.32 inference(transitivity,[status(thm)],[3909, 3908])).
% 217.76/140.32 tff(3911,plain,
% 217.76/140.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB75, 1) <=> v84(constB74, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 1) <=> v84(constB74, 1)))),
% 217.76/140.32 inference(monotonicity,[status(thm)],[3910])).
% 217.76/140.32 tff(3912,plain,
% 217.76/140.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB75, 1) <=> v84(constB74, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 1) <=> v84(constB74, 1)))),
% 217.76/140.32 inference(transitivity,[status(thm)],[3911, 3907])).
% 217.76/140.32 tff(3913,plain,
% 217.76/140.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB75, 1) <=> v84(constB74, 1)))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3914,plain,
% 217.76/140.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 1) <=> v84(constB74, 1))),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3913, 3912])).
% 217.76/140.32 tff(3915,plain,
% 217.76/140.32 (v84(constB75, 1) <=> v84(constB74, 1)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3914, 3906])).
% 217.76/140.32 tff(3916,plain,
% 217.76/140.32 (((~v107(constB73)) | (~v120(constB73))) | v107(constB73)),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3917,plain,
% 217.76/140.32 ((~v107(constB73)) | (~v120(constB73))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3916, 3852])).
% 217.76/140.32 tff(3918,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB73) <=> (~((~v107(constB73)) | (~v120(constB73)))))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3919,plain,
% 217.76/140.32 (v106(constB73) <=> (~((~v107(constB73)) | (~v120(constB73))))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3918, 132])).
% 217.76/140.32 tff(3920,plain,
% 217.76/140.32 ((~(v106(constB73) <=> (~((~v107(constB73)) | (~v120(constB73)))))) | (~v106(constB73)) | (~((~v107(constB73)) | (~v120(constB73))))),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3921,plain,
% 217.76/140.32 ((~v106(constB73)) | (~((~v107(constB73)) | (~v120(constB73))))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3920, 3919])).
% 217.76/140.32 tff(3922,plain,
% 217.76/140.32 (~v106(constB73)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3921, 3917])).
% 217.76/140.32 tff(3923,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB73) <=> v26(constB73))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3924,plain,
% 217.76/140.32 (v105(constB73) <=> v26(constB73)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3923, 156])).
% 217.76/140.32 tff(3925,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3926,plain,
% 217.76/140.32 (~v26(constB73)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3925, 168])).
% 217.76/140.32 tff(3927,plain,
% 217.76/140.32 ((~(v105(constB73) <=> v26(constB73))) | (~v105(constB73)) | v26(constB73)),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3928,plain,
% 217.76/140.32 ((~(v105(constB73) <=> v26(constB73))) | (~v105(constB73))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3927, 3926])).
% 217.76/140.32 tff(3929,plain,
% 217.76/140.32 (~v105(constB73)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3928, 3924])).
% 217.76/140.32 tff(3930,plain,
% 217.76/140.32 ((~(v105(constB73) | v106(constB73))) | v105(constB73) | v106(constB73)),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3931,plain,
% 217.76/140.32 ((~(v105(constB73) | v106(constB73))) | v106(constB73)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3930, 3929])).
% 217.76/140.32 tff(3932,plain,
% 217.76/140.32 (~(v105(constB73) | v106(constB73))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3931, 3922])).
% 217.76/140.32 tff(3933,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB73) <=> (v105(constB73) | v106(constB73)))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3934,plain,
% 217.76/140.32 (v102(constB73) <=> (v105(constB73) | v106(constB73))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3933, 115])).
% 217.76/140.32 tff(3935,plain,
% 217.76/140.32 ((~(v102(constB73) <=> (v105(constB73) | v106(constB73)))) | (~v102(constB73)) | (v105(constB73) | v106(constB73))),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3936,plain,
% 217.76/140.32 ((~v102(constB73)) | (v105(constB73) | v106(constB73))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3935, 3934])).
% 217.76/140.32 tff(3937,plain,
% 217.76/140.32 (~v102(constB73)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3936, 3932])).
% 217.76/140.32 tff(3938,plain,
% 217.76/140.32 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3939,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73')).
% 217.76/140.32 tff(3940,plain,
% 217.76/140.32 (nextState(constB73, constB74)),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3939, 3938])).
% 217.76/140.32 tff(3941,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73)))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3942,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73)))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3943,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73))),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3942, 3941])).
% 217.76/140.32 tff(3944,plain,
% 217.76/140.32 (v104(constB74) <=> v102(constB73)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3943, 3940, 101])).
% 217.76/140.32 tff(3945,plain,
% 217.76/140.32 ((~(v104(constB74) <=> v102(constB73))) | (~v104(constB74)) | v102(constB73)),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3946,plain,
% 217.76/140.32 ((~v104(constB74)) | v102(constB73)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3945, 3944])).
% 217.76/140.32 tff(3947,plain,
% 217.76/140.32 (~v104(constB74)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3946, 3937])).
% 217.76/140.32 tff(3948,plain,
% 217.76/140.32 (((~v95(constB74)) | (~v104(constB74))) | v104(constB74)),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3949,plain,
% 217.76/140.32 ((~v95(constB74)) | (~v104(constB74))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3948, 3947])).
% 217.76/140.32 tff(3950,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74))))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3951,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74))))))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3952,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74)))))),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3951, 3950])).
% 217.76/140.32 tff(3953,plain,
% 217.76/140.32 (v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74))))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3952, 3940, 14])).
% 217.76/140.32 tff(3954,plain,
% 217.76/140.32 ((~(v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74)))))) | (~v94(constB74)) | (~((~v95(constB74)) | (~v104(constB74))))),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3955,plain,
% 217.76/140.32 ((~v94(constB74)) | (~((~v95(constB74)) | (~v104(constB74))))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3954, 3953])).
% 217.76/140.32 tff(3956,plain,
% 217.76/140.32 (~v94(constB74)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3955, 3949])).
% 217.76/140.32 tff(3957,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB74) | (~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB74) | (~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3958,plain,
% 217.76/140.32 ((v94(constB74) | (~nextState(constB73, constB74)) | ![B: $int] : ((v84(constB74, B) <=> v84(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB74) | (~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3959,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB74) | (~nextState(constB73, constB74)) | ![B: $int] : ((v84(constB74, B) <=> v84(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB74) | (~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))))),
% 217.76/140.32 inference(monotonicity,[status(thm)],[3958])).
% 217.76/140.32 tff(3960,plain,
% 217.76/140.32 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB74) | (~nextState(constB73, constB74)) | ![B: $int] : ((v84(constB74, B) <=> v84(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB74) | (~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B))))),
% 217.76/140.32 inference(transitivity,[status(thm)],[3959, 3957])).
% 217.76/140.32 tff(3961,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB74) | (~nextState(constB73, constB74)) | ![B: $int] : ((v84(constB74, B) <=> v84(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3962,plain,
% 217.76/140.32 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB74) | (~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 217.76/140.32 tff(3963,plain,
% 217.76/140.32 (v94(constB74) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3962, 3940, 235])).
% 217.76/140.32 tff(3964,plain,
% 217.76/140.32 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3963, 3956])).
% 217.76/140.32 tff(3965,plain,
% 217.76/140.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 1) <=> v84(constB73, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 1) <=> v84(constB73, 1)))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3966,plain,
% 217.76/140.32 (($false | $false | (v84(constB74, 1) <=> v84(constB73, 1))) <=> (v84(constB74, 1) <=> v84(constB73, 1))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3967,plain,
% 217.76/140.32 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB74, 1) <=> v84(constB73, 1))) <=> ($false | $false | (v84(constB74, 1) <=> v84(constB73, 1)))),
% 217.76/140.32 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.32 tff(3968,plain,
% 217.76/140.32 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB74, 1) <=> v84(constB73, 1))) <=> (v84(constB74, 1) <=> v84(constB73, 1))),
% 217.76/140.32 inference(transitivity,[status(thm)],[3967, 3966])).
% 217.76/140.32 tff(3969,plain,
% 217.76/140.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB74, 1) <=> v84(constB73, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 1) <=> v84(constB73, 1)))),
% 217.76/140.32 inference(monotonicity,[status(thm)],[3968])).
% 217.76/140.32 tff(3970,plain,
% 217.76/140.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB74, 1) <=> v84(constB73, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 1) <=> v84(constB73, 1)))),
% 217.76/140.32 inference(transitivity,[status(thm)],[3969, 3965])).
% 217.76/140.32 tff(3971,plain,
% 217.76/140.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB74, 1) <=> v84(constB73, 1)))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3972,plain,
% 217.76/140.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 1) <=> v84(constB73, 1))),
% 217.76/140.32 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 217.76/140.32 tff(3973,plain,
% 217.76/140.32 (v84(constB74, 1) <=> v84(constB73, 1)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3972, 3964])).
% 217.76/140.32 tff(3974,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB73) <=> (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3975,plain,
% 217.76/140.32 (v118(constB73) <=> (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3974, 394])).
% 217.76/140.32 tff(3976,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB73) <=> (v109(constB73) | v118(constB73)))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3977,plain,
% 217.76/140.32 (v108(constB73) <=> (v109(constB73) | v118(constB73))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3976, 428])).
% 217.76/140.32 tff(3978,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB73) <=> (v108(constB73) | v119(constB73)))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3979,plain,
% 217.76/140.32 (v107(constB73) <=> (v108(constB73) | v119(constB73))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3978, 187])).
% 217.76/140.32 tff(3980,plain,
% 217.76/140.32 ((~(v107(constB73) <=> (v108(constB73) | v119(constB73)))) | v107(constB73) | (~(v108(constB73) | v119(constB73)))),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3981,plain,
% 217.76/140.32 ((~(v107(constB73) <=> (v108(constB73) | v119(constB73)))) | (~(v108(constB73) | v119(constB73)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3980, 3852])).
% 217.76/140.32 tff(3982,plain,
% 217.76/140.32 (~(v108(constB73) | v119(constB73))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3981, 3979])).
% 217.76/140.32 tff(3983,plain,
% 217.76/140.32 ((v108(constB73) | v119(constB73)) | (~v108(constB73))),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3984,plain,
% 217.76/140.32 (~v108(constB73)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3983, 3982])).
% 217.76/140.32 tff(3985,plain,
% 217.76/140.32 ((~(v108(constB73) <=> (v109(constB73) | v118(constB73)))) | v108(constB73) | (~(v109(constB73) | v118(constB73)))),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3986,plain,
% 217.76/140.32 ((~(v108(constB73) <=> (v109(constB73) | v118(constB73)))) | (~(v109(constB73) | v118(constB73)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3985, 3984])).
% 217.76/140.32 tff(3987,plain,
% 217.76/140.32 (~(v109(constB73) | v118(constB73))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3986, 3977])).
% 217.76/140.32 tff(3988,plain,
% 217.76/140.32 ((v109(constB73) | v118(constB73)) | (~v118(constB73))),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3989,plain,
% 217.76/140.32 (~v118(constB73)),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3988, 3987])).
% 217.76/140.32 tff(3990,plain,
% 217.76/140.32 ((~(v118(constB73) <=> (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))))) | v118(constB73) | (v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))),
% 217.76/140.32 inference(tautology,[status(thm)],[])).
% 217.76/140.32 tff(3991,plain,
% 217.76/140.32 ((~(v118(constB73) <=> (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))))) | (v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3990, 3989])).
% 217.76/140.32 tff(3992,plain,
% 217.76/140.32 (v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))),
% 217.76/140.32 inference(unit_resolution,[status(thm)],[3991, 3975])).
% 217.76/140.32 tff(3993,plain,
% 217.76/140.32 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3994,plain,
% 217.76/140.32 ((v117(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | (~v84(constB73, 2))))) <=> (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))),
% 217.76/140.32 inference(rewrite,[status(thm)],[])).
% 217.76/140.32 tff(3995,plain,
% 217.76/140.32 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | (~v84(constB73, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))))),
% 217.76/140.32 inference(monotonicity,[status(thm)],[3994])).
% 217.76/140.32 tff(3996,plain,
% 217.76/140.32 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | (~v84(constB73, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))))),
% 217.76/140.32 inference(transitivity,[status(thm)],[3995, 3993])).
% 217.76/140.32 tff(3997,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | (~v84(constB73, 2)))))),
% 217.76/140.32 inference(quant_inst,[status(thm)],[])).
% 217.76/140.32 tff(3998,plain,
% 217.76/140.32 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))),
% 217.76/140.33 inference(modus_ponens,[status(thm)],[3997, 3996])).
% 217.76/140.33 tff(3999,plain,
% 217.76/140.33 (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[3998, 656])).
% 217.76/140.33 tff(4000,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB73) <=> (v110(constB73) | v117(constB73)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4001,plain,
% 217.76/140.33 (v109(constB73) <=> (v110(constB73) | v117(constB73))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4000, 456])).
% 217.76/140.33 tff(4002,plain,
% 217.76/140.33 ((v109(constB73) | v118(constB73)) | (~v109(constB73))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4003,plain,
% 217.76/140.33 (~v109(constB73)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4002, 3987])).
% 217.76/140.33 tff(4004,plain,
% 217.76/140.33 ((~(v109(constB73) <=> (v110(constB73) | v117(constB73)))) | v109(constB73) | (~(v110(constB73) | v117(constB73)))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4005,plain,
% 217.76/140.33 ((~(v109(constB73) <=> (v110(constB73) | v117(constB73)))) | (~(v110(constB73) | v117(constB73)))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4004, 4003])).
% 217.76/140.33 tff(4006,plain,
% 217.76/140.33 (~(v110(constB73) | v117(constB73))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4005, 4001])).
% 217.76/140.33 tff(4007,plain,
% 217.76/140.33 ((v110(constB73) | v117(constB73)) | (~v117(constB73))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4008,plain,
% 217.76/140.33 (~v117(constB73)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4007, 4006])).
% 217.76/140.33 tff(4009,plain,
% 217.76/140.33 ((~(v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))) | v117(constB73) | (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4010,plain,
% 217.76/140.33 ((~(v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))) | (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4009, 4008])).
% 217.76/140.33 tff(4011,plain,
% 217.76/140.33 (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4010, 3999])).
% 217.76/140.33 tff(4012,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4013,plain,
% 217.76/140.33 (v113(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4012, 597])).
% 217.76/140.33 tff(4014,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB73) <=> (v113(constB73) | v114(constB73)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4015,plain,
% 217.76/140.33 (v112(constB73) <=> (v113(constB73) | v114(constB73))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4014, 283])).
% 217.76/140.33 tff(4016,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB73) <=> (v112(constB73) | v115(constB73)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4017,plain,
% 217.76/140.33 (v111(constB73) <=> (v112(constB73) | v115(constB73))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4016, 274])).
% 217.76/140.33 tff(4018,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB73) <=> (v111(constB73) | v116(constB73)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4019,plain,
% 217.76/140.33 (v110(constB73) <=> (v111(constB73) | v116(constB73))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4018, 265])).
% 217.76/140.33 tff(4020,plain,
% 217.76/140.33 ((v110(constB73) | v117(constB73)) | (~v110(constB73))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4021,plain,
% 217.76/140.33 (~v110(constB73)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4020, 4006])).
% 217.76/140.33 tff(4022,plain,
% 217.76/140.33 ((~(v110(constB73) <=> (v111(constB73) | v116(constB73)))) | v110(constB73) | (~(v111(constB73) | v116(constB73)))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4023,plain,
% 217.76/140.33 ((~(v110(constB73) <=> (v111(constB73) | v116(constB73)))) | (~(v111(constB73) | v116(constB73)))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4022, 4021])).
% 217.76/140.33 tff(4024,plain,
% 217.76/140.33 (~(v111(constB73) | v116(constB73))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4023, 4019])).
% 217.76/140.33 tff(4025,plain,
% 217.76/140.33 ((v111(constB73) | v116(constB73)) | (~v111(constB73))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4026,plain,
% 217.76/140.33 (~v111(constB73)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4025, 4024])).
% 217.76/140.33 tff(4027,plain,
% 217.76/140.33 ((~(v111(constB73) <=> (v112(constB73) | v115(constB73)))) | v111(constB73) | (~(v112(constB73) | v115(constB73)))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4028,plain,
% 217.76/140.33 ((~(v111(constB73) <=> (v112(constB73) | v115(constB73)))) | (~(v112(constB73) | v115(constB73)))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4027, 4026])).
% 217.76/140.33 tff(4029,plain,
% 217.76/140.33 (~(v112(constB73) | v115(constB73))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4028, 4017])).
% 217.76/140.33 tff(4030,plain,
% 217.76/140.33 ((v112(constB73) | v115(constB73)) | (~v112(constB73))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4031,plain,
% 217.76/140.33 (~v112(constB73)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4030, 4029])).
% 217.76/140.33 tff(4032,plain,
% 217.76/140.33 ((~(v112(constB73) <=> (v113(constB73) | v114(constB73)))) | v112(constB73) | (~(v113(constB73) | v114(constB73)))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4033,plain,
% 217.76/140.33 ((~(v112(constB73) <=> (v113(constB73) | v114(constB73)))) | (~(v113(constB73) | v114(constB73)))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4032, 4031])).
% 217.76/140.33 tff(4034,plain,
% 217.76/140.33 (~(v113(constB73) | v114(constB73))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4033, 4015])).
% 217.76/140.33 tff(4035,plain,
% 217.76/140.33 ((v113(constB73) | v114(constB73)) | (~v113(constB73))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4036,plain,
% 217.76/140.33 (~v113(constB73)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4035, 4034])).
% 217.76/140.33 tff(4037,plain,
% 217.76/140.33 ((~(v113(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))))) | v113(constB73) | (v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4038,plain,
% 217.76/140.33 ((~(v113(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))))) | (v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4037, 4036])).
% 217.76/140.33 tff(4039,plain,
% 217.76/140.33 (v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4038, 4013])).
% 217.76/140.33 tff(4040,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB73) <=> (~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2)))))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4041,plain,
% 217.76/140.33 (v119(constB73) <=> (~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4040, 318])).
% 217.76/140.33 tff(4042,plain,
% 217.76/140.33 ((v108(constB73) | v119(constB73)) | (~v119(constB73))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4043,plain,
% 217.76/140.33 (~v119(constB73)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4042, 3982])).
% 217.76/140.33 tff(4044,plain,
% 217.76/140.33 ((~(v119(constB73) <=> (~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2)))))) | v119(constB73) | (v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2)))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4045,plain,
% 217.76/140.33 ((~(v119(constB73) <=> (~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2)))))) | (v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2)))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4044, 4043])).
% 217.76/140.33 tff(4046,plain,
% 217.76/140.33 (v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4045, 4041])).
% 217.76/140.33 tff(4047,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))))))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4048,plain,
% 217.76/140.33 ((v115(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 2) | (~v84(constB73, 1))))) <=> (v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4049,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 2) | (~v84(constB73, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))))))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[4048])).
% 217.76/140.33 tff(4050,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 2) | (~v84(constB73, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))))))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4049, 4047])).
% 217.76/140.33 tff(4051,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 2) | (~v84(constB73, 1)))))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4052,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))))),
% 217.76/140.33 inference(modus_ponens,[status(thm)],[4051, 4050])).
% 217.76/140.33 tff(4053,plain,
% 217.76/140.33 (v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4052, 622])).
% 217.76/140.33 tff(4054,plain,
% 217.76/140.33 ((v112(constB73) | v115(constB73)) | (~v115(constB73))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4055,plain,
% 217.76/140.33 (~v115(constB73)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4054, 4029])).
% 217.76/140.33 tff(4056,plain,
% 217.76/140.33 ((~(v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))))) | v115(constB73) | (v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4057,plain,
% 217.76/140.33 ((~(v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))))) | (v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4056, 4055])).
% 217.76/140.33 tff(4058,plain,
% 217.76/140.33 (v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4057, 4053])).
% 217.76/140.33 tff(4059,assumption,(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))), introduced(assumption)).
% 217.76/140.33 tff(4060,assumption,(~v84(constB73, 0)), introduced(assumption)).
% 217.76/140.33 tff(4061,assumption,(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))), introduced(assumption)).
% 217.76/140.33 tff(4062,assumption,(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)), introduced(assumption)).
% 217.76/140.33 tff(4063,assumption,(~v84(constB73, 1)), introduced(assumption)).
% 217.76/140.33 tff(4064,plain,
% 217.76/140.33 ((~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))) | v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4065,plain,
% 217.76/140.33 (~v84(constB73, 2)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4064, 4063, 4060, 4061])).
% 217.76/140.33 tff(4066,plain,
% 217.76/140.33 ((~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))) | v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4067,plain,
% 217.76/140.33 ($false),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4066, 4065, 4063, 4060, 4062])).
% 217.76/140.33 tff(4068,plain,(v84(constB73, 1) | v84(constB73, 0) | (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))) | (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.33 tff(4069,plain,
% 217.76/140.33 (v84(constB73, 1)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4068, 4060, 4062, 4061])).
% 217.76/140.33 tff(4070,assumption,(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))), introduced(assumption)).
% 217.76/140.33 tff(4071,plain,
% 217.76/140.33 ((~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2)))) | v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4072,plain,
% 217.76/140.33 (~v84(constB73, 2)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4071, 4069, 4060, 4070])).
% 217.76/140.33 tff(4073,plain,
% 217.76/140.33 ((~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))) | v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4074,plain,
% 217.76/140.33 ($false),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4073, 4072, 4069, 4060, 4059])).
% 217.76/140.33 tff(4075,plain,(v84(constB73, 0) | (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))) | (~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2)))) | (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))) | (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.33 tff(4076,plain,
% 217.76/140.33 (v84(constB73, 0)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4075, 4058, 4046, 4039, 4011])).
% 217.76/140.33 tff(4077,assumption,(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))), introduced(assumption)).
% 217.76/140.33 tff(4078,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))))))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4079,plain,
% 217.76/140.33 ((v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 1)) | (~v84(constB73, 0))))) <=> (v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4080,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 1)) | (~v84(constB73, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))))))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[4079])).
% 217.76/140.33 tff(4081,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 1)) | (~v84(constB73, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))))))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4080, 4078])).
% 217.76/140.33 tff(4082,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 1)) | (~v84(constB73, 0)))))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4083,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))))),
% 217.76/140.33 inference(modus_ponens,[status(thm)],[4082, 4081])).
% 217.76/140.33 tff(4084,plain,
% 217.76/140.33 (v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4083, 521])).
% 217.76/140.33 tff(4085,plain,
% 217.76/140.33 ((v111(constB73) | v116(constB73)) | (~v116(constB73))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4086,plain,
% 217.76/140.33 (~v116(constB73)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4085, 4024])).
% 217.76/140.33 tff(4087,plain,
% 217.76/140.33 ((~(v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))))) | v116(constB73) | (v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4088,plain,
% 217.76/140.33 ((~(v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))))) | (v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4087, 4086])).
% 217.76/140.33 tff(4089,plain,
% 217.76/140.33 (v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4088, 4084])).
% 217.76/140.33 tff(4090,assumption,(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))), introduced(assumption)).
% 217.76/140.33 tff(4091,assumption,(v84(constB73, 0)), introduced(assumption)).
% 217.76/140.33 tff(4092,assumption,(~v84(constB73, 2)), introduced(assumption)).
% 217.76/140.33 tff(4093,plain,
% 217.76/140.33 ((~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))) | v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4094,plain,
% 217.76/140.33 (v84(constB73, 1)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4093, 4092, 4077, 4091])).
% 217.76/140.33 tff(4095,plain,
% 217.76/140.33 ((~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))) | v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4096,plain,
% 217.76/140.33 ($false),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4095, 4094, 4092, 4091, 4090])).
% 217.76/140.33 tff(4097,plain,(v84(constB73, 2) | (~v84(constB73, 0)) | (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))) | (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.33 tff(4098,plain,
% 217.76/140.33 (v84(constB73, 2)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4097, 4076, 4089, 4077])).
% 217.76/140.33 tff(4099,plain,
% 217.76/140.33 ((~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))) | v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4100,plain,
% 217.76/140.33 (v84(constB73, 1)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4099, 4098, 4076, 3992])).
% 217.76/140.33 tff(4101,plain,
% 217.76/140.33 ((~(v84(constB74, 1) <=> v84(constB73, 1))) | v84(constB74, 1) | (~v84(constB73, 1))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4102,plain,
% 217.76/140.33 ((~(v84(constB74, 1) <=> v84(constB73, 1))) | v84(constB74, 1)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4101, 4100])).
% 217.76/140.33 tff(4103,plain,
% 217.76/140.33 (v84(constB74, 1)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4102, 3973])).
% 217.76/140.33 tff(4104,plain,
% 217.76/140.33 ((~(v84(constB75, 1) <=> v84(constB74, 1))) | v84(constB75, 1) | (~v84(constB74, 1))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4105,plain,
% 217.76/140.33 ((~(v84(constB75, 1) <=> v84(constB74, 1))) | v84(constB75, 1)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4104, 4103])).
% 217.76/140.33 tff(4106,plain,
% 217.76/140.33 (v84(constB75, 1)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4105, 3915])).
% 217.76/140.33 tff(4107,plain,
% 217.76/140.33 ((v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))) | (~v84(constB75, 1))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4108,plain,
% 217.76/140.33 (v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4107, 4106])).
% 217.76/140.33 tff(4109,plain,
% 217.76/140.33 ((~(v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))) | (~v118(constB75)) | (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4110,plain,
% 217.76/140.33 (~v118(constB75)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4109, 4108, 3872])).
% 217.76/140.33 tff(4111,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB75) <=> (v110(constB75) | v117(constB75)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4112,plain,
% 217.76/140.33 (v109(constB75) <=> (v110(constB75) | v117(constB75))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4111, 456])).
% 217.76/140.33 tff(4113,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB75) <=> (v111(constB75) | v116(constB75)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4114,plain,
% 217.76/140.33 (v110(constB75) <=> (v111(constB75) | v116(constB75))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4113, 265])).
% 217.76/140.33 tff(4115,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))))))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4116,plain,
% 217.76/140.33 ((v116(constB75) <=> (~(v84(constB75, 2) | (~v84(constB75, 1)) | (~v84(constB75, 0))))) <=> (v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4117,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB75) <=> (~(v84(constB75, 2) | (~v84(constB75, 1)) | (~v84(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))))))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[4116])).
% 217.76/140.33 tff(4118,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB75) <=> (~(v84(constB75, 2) | (~v84(constB75, 1)) | (~v84(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))))))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4117, 4115])).
% 217.76/140.33 tff(4119,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB75) <=> (~(v84(constB75, 2) | (~v84(constB75, 1)) | (~v84(constB75, 0)))))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4120,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))))),
% 217.76/140.33 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 217.76/140.33 tff(4121,plain,
% 217.76/140.33 (v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4120, 521])).
% 217.76/140.33 tff(4122,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 2) <=> v84(constB74, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 2) <=> v84(constB74, 2)))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4123,plain,
% 217.76/140.33 (($false | $false | (v84(constB75, 2) <=> v84(constB74, 2))) <=> (v84(constB75, 2) <=> v84(constB74, 2))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4124,plain,
% 217.76/140.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB75, 2) <=> v84(constB74, 2))) <=> ($false | $false | (v84(constB75, 2) <=> v84(constB74, 2)))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.33 tff(4125,plain,
% 217.76/140.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB75, 2) <=> v84(constB74, 2))) <=> (v84(constB75, 2) <=> v84(constB74, 2))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4124, 4123])).
% 217.76/140.33 tff(4126,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB75, 2) <=> v84(constB74, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 2) <=> v84(constB74, 2)))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[4125])).
% 217.76/140.33 tff(4127,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB75, 2) <=> v84(constB74, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 2) <=> v84(constB74, 2)))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4126, 4122])).
% 217.76/140.33 tff(4128,plain,
% 217.76/140.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB75, 2) <=> v84(constB74, 2)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4129,plain,
% 217.76/140.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 2) <=> v84(constB74, 2))),
% 217.76/140.33 inference(modus_ponens,[status(thm)],[4128, 4127])).
% 217.76/140.33 tff(4130,plain,
% 217.76/140.33 (v84(constB75, 2) <=> v84(constB74, 2)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4129, 3906])).
% 217.76/140.33 tff(4131,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 2) <=> v84(constB73, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 2) <=> v84(constB73, 2)))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4132,plain,
% 217.76/140.33 (($false | $false | (v84(constB74, 2) <=> v84(constB73, 2))) <=> (v84(constB74, 2) <=> v84(constB73, 2))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4133,plain,
% 217.76/140.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB74, 2) <=> v84(constB73, 2))) <=> ($false | $false | (v84(constB74, 2) <=> v84(constB73, 2)))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.33 tff(4134,plain,
% 217.76/140.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB74, 2) <=> v84(constB73, 2))) <=> (v84(constB74, 2) <=> v84(constB73, 2))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4133, 4132])).
% 217.76/140.33 tff(4135,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB74, 2) <=> v84(constB73, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 2) <=> v84(constB73, 2)))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[4134])).
% 217.76/140.33 tff(4136,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB74, 2) <=> v84(constB73, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 2) <=> v84(constB73, 2)))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4135, 4131])).
% 217.76/140.33 tff(4137,plain,
% 217.76/140.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB74, 2) <=> v84(constB73, 2)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4138,plain,
% 217.76/140.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 2) <=> v84(constB73, 2))),
% 217.76/140.33 inference(modus_ponens,[status(thm)],[4137, 4136])).
% 217.76/140.33 tff(4139,plain,
% 217.76/140.33 (v84(constB74, 2) <=> v84(constB73, 2)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4138, 3964])).
% 217.76/140.33 tff(4140,plain,
% 217.76/140.33 ((~(v84(constB74, 2) <=> v84(constB73, 2))) | v84(constB74, 2) | (~v84(constB73, 2))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4141,plain,
% 217.76/140.33 ((~(v84(constB74, 2) <=> v84(constB73, 2))) | v84(constB74, 2)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4140, 4098])).
% 217.76/140.33 tff(4142,plain,
% 217.76/140.33 (v84(constB74, 2)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4141, 4139])).
% 217.76/140.33 tff(4143,plain,
% 217.76/140.33 ((~(v84(constB75, 2) <=> v84(constB74, 2))) | v84(constB75, 2) | (~v84(constB74, 2))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4144,plain,
% 217.76/140.33 ((~(v84(constB75, 2) <=> v84(constB74, 2))) | v84(constB75, 2)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4143, 4142])).
% 217.76/140.33 tff(4145,plain,
% 217.76/140.33 (v84(constB75, 2)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4144, 4130])).
% 217.76/140.33 tff(4146,plain,
% 217.76/140.33 (((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))) | (~v84(constB75, 2))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4147,plain,
% 217.76/140.33 ((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4146, 4145])).
% 217.76/140.33 tff(4148,plain,
% 217.76/140.33 ((~(v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))))) | (~v116(constB75)) | (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4149,plain,
% 217.76/140.33 (~v116(constB75)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4148, 4147, 4121])).
% 217.76/140.33 tff(4150,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB75) <=> (v112(constB75) | v115(constB75)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4151,plain,
% 217.76/140.33 (v111(constB75) <=> (v112(constB75) | v115(constB75))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4150, 274])).
% 217.76/140.33 tff(4152,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB75) <=> (v113(constB75) | v114(constB75)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4153,plain,
% 217.76/140.33 (v112(constB75) <=> (v113(constB75) | v114(constB75))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4152, 283])).
% 217.76/140.33 tff(4154,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4155,plain,
% 217.76/140.33 (v114(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4154, 298])).
% 217.76/140.33 tff(4156,plain,
% 217.76/140.33 ((v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))) | (~v84(constB75, 2))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4157,plain,
% 217.76/140.33 (v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4156, 4145])).
% 217.76/140.33 tff(4158,plain,
% 217.76/140.33 ((~(v114(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))))) | (~v114(constB75)) | (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4159,plain,
% 217.76/140.33 (~v114(constB75)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4158, 4157, 4155])).
% 217.76/140.33 tff(4160,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4161,plain,
% 217.76/140.33 (v113(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4160, 597])).
% 217.76/140.33 tff(4162,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 0) <=> v84(constB74, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 0) <=> v84(constB74, 0)))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4163,plain,
% 217.76/140.33 (($false | $false | (v84(constB75, 0) <=> v84(constB74, 0))) <=> (v84(constB75, 0) <=> v84(constB74, 0))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4164,plain,
% 217.76/140.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB75, 0) <=> v84(constB74, 0))) <=> ($false | $false | (v84(constB75, 0) <=> v84(constB74, 0)))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.33 tff(4165,plain,
% 217.76/140.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB75, 0) <=> v84(constB74, 0))) <=> (v84(constB75, 0) <=> v84(constB74, 0))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4164, 4163])).
% 217.76/140.33 tff(4166,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB75, 0) <=> v84(constB74, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 0) <=> v84(constB74, 0)))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[4165])).
% 217.76/140.33 tff(4167,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB75, 0) <=> v84(constB74, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 0) <=> v84(constB74, 0)))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4166, 4162])).
% 217.76/140.33 tff(4168,plain,
% 217.76/140.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB75, 0) <=> v84(constB74, 0)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4169,plain,
% 217.76/140.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB75, B) <=> v84(constB74, B)))) | (v84(constB75, 0) <=> v84(constB74, 0))),
% 217.76/140.33 inference(modus_ponens,[status(thm)],[4168, 4167])).
% 217.76/140.33 tff(4170,plain,
% 217.76/140.33 (v84(constB75, 0) <=> v84(constB74, 0)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4169, 3906])).
% 217.76/140.33 tff(4171,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 0) <=> v84(constB73, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 0) <=> v84(constB73, 0)))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4172,plain,
% 217.76/140.33 (($false | $false | (v84(constB74, 0) <=> v84(constB73, 0))) <=> (v84(constB74, 0) <=> v84(constB73, 0))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4173,plain,
% 217.76/140.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB74, 0) <=> v84(constB73, 0))) <=> ($false | $false | (v84(constB74, 0) <=> v84(constB73, 0)))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.33 tff(4174,plain,
% 217.76/140.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB74, 0) <=> v84(constB73, 0))) <=> (v84(constB74, 0) <=> v84(constB73, 0))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4173, 4172])).
% 217.76/140.33 tff(4175,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB74, 0) <=> v84(constB73, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 0) <=> v84(constB73, 0)))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[4174])).
% 217.76/140.33 tff(4176,plain,
% 217.76/140.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB74, 0) <=> v84(constB73, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 0) <=> v84(constB73, 0)))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4175, 4171])).
% 217.76/140.33 tff(4177,plain,
% 217.76/140.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB74, 0) <=> v84(constB73, 0)))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4178,plain,
% 217.76/140.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (v84(constB74, 0) <=> v84(constB73, 0))),
% 217.76/140.33 inference(modus_ponens,[status(thm)],[4177, 4176])).
% 217.76/140.33 tff(4179,plain,
% 217.76/140.33 (v84(constB74, 0) <=> v84(constB73, 0)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4178, 3964])).
% 217.76/140.33 tff(4180,plain,
% 217.76/140.33 ((~(v84(constB74, 0) <=> v84(constB73, 0))) | v84(constB74, 0) | (~v84(constB73, 0))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4181,plain,
% 217.76/140.33 ((~(v84(constB74, 0) <=> v84(constB73, 0))) | v84(constB74, 0)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4180, 4076])).
% 217.76/140.33 tff(4182,plain,
% 217.76/140.33 (v84(constB74, 0)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4181, 4179])).
% 217.76/140.33 tff(4183,plain,
% 217.76/140.33 ((~(v84(constB75, 0) <=> v84(constB74, 0))) | v84(constB75, 0) | (~v84(constB74, 0))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4184,plain,
% 217.76/140.33 ((~(v84(constB75, 0) <=> v84(constB74, 0))) | v84(constB75, 0)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4183, 4182])).
% 217.76/140.33 tff(4185,plain,
% 217.76/140.33 (v84(constB75, 0)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4184, 4170])).
% 217.76/140.33 tff(4186,plain,
% 217.76/140.33 ((v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)) | (~v84(constB75, 0))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4187,plain,
% 217.76/140.33 (v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4186, 4185])).
% 217.76/140.33 tff(4188,plain,
% 217.76/140.33 ((~(v113(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))))) | (~v113(constB75)) | (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4189,plain,
% 217.76/140.33 ((~(v113(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))))) | (~v113(constB75))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4188, 4187])).
% 217.76/140.33 tff(4190,plain,
% 217.76/140.33 (~v113(constB75)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4189, 4161])).
% 217.76/140.33 tff(4191,plain,
% 217.76/140.33 ((~(v113(constB75) | v114(constB75))) | v113(constB75) | v114(constB75)),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4192,plain,
% 217.76/140.33 ((~(v113(constB75) | v114(constB75))) | v114(constB75)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4191, 4190])).
% 217.76/140.33 tff(4193,plain,
% 217.76/140.33 (~(v113(constB75) | v114(constB75))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4192, 4159])).
% 217.76/140.33 tff(4194,plain,
% 217.76/140.33 ((~(v112(constB75) <=> (v113(constB75) | v114(constB75)))) | (~v112(constB75)) | (v113(constB75) | v114(constB75))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4195,plain,
% 217.76/140.33 (~v112(constB75)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4194, 4193, 4153])).
% 217.76/140.33 tff(4196,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)))))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4197,plain,
% 217.76/140.33 ((v115(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 2) | (~v84(constB75, 1))))) <=> (v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))))),
% 217.76/140.33 inference(rewrite,[status(thm)],[])).
% 217.76/140.33 tff(4198,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 2) | (~v84(constB75, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)))))),
% 217.76/140.33 inference(monotonicity,[status(thm)],[4197])).
% 217.76/140.33 tff(4199,plain,
% 217.76/140.33 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 2) | (~v84(constB75, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)))))),
% 217.76/140.33 inference(transitivity,[status(thm)],[4198, 4196])).
% 217.76/140.33 tff(4200,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 2) | (~v84(constB75, 1)))))),
% 217.76/140.33 inference(quant_inst,[status(thm)],[])).
% 217.76/140.33 tff(4201,plain,
% 217.76/140.33 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))))),
% 217.76/140.33 inference(modus_ponens,[status(thm)],[4200, 4199])).
% 217.76/140.33 tff(4202,plain,
% 217.76/140.33 (v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)))),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4201, 622])).
% 217.76/140.33 tff(4203,plain,
% 217.76/140.33 (((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)) | (~v84(constB75, 0))),
% 217.76/140.33 inference(tautology,[status(thm)],[])).
% 217.76/140.33 tff(4204,plain,
% 217.76/140.33 ((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)),
% 217.76/140.33 inference(unit_resolution,[status(thm)],[4203, 4185])).
% 217.76/140.33 tff(4205,plain,
% 217.76/140.33 ((~(v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))))) | (~v115(constB75)) | (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4206,plain,
% 217.76/140.34 ((~(v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))))) | (~v115(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4205, 4204])).
% 217.76/140.34 tff(4207,plain,
% 217.76/140.34 (~v115(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4206, 4202])).
% 217.76/140.34 tff(4208,plain,
% 217.76/140.34 ((~(v112(constB75) | v115(constB75))) | v112(constB75) | v115(constB75)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4209,plain,
% 217.76/140.34 ((~(v112(constB75) | v115(constB75))) | v112(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4208, 4207])).
% 217.76/140.34 tff(4210,plain,
% 217.76/140.34 (~(v112(constB75) | v115(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4209, 4195])).
% 217.76/140.34 tff(4211,plain,
% 217.76/140.34 ((~(v111(constB75) <=> (v112(constB75) | v115(constB75)))) | (~v111(constB75)) | (v112(constB75) | v115(constB75))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4212,plain,
% 217.76/140.34 (~v111(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4211, 4210, 4151])).
% 217.76/140.34 tff(4213,plain,
% 217.76/140.34 ((~(v111(constB75) | v116(constB75))) | v111(constB75) | v116(constB75)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4214,plain,
% 217.76/140.34 (~(v111(constB75) | v116(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4213, 4212, 4149])).
% 217.76/140.34 tff(4215,plain,
% 217.76/140.34 ((~(v110(constB75) <=> (v111(constB75) | v116(constB75)))) | (~v110(constB75)) | (v111(constB75) | v116(constB75))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4216,plain,
% 217.76/140.34 (~v110(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4215, 4214, 4114])).
% 217.76/140.34 tff(4217,plain,
% 217.76/140.34 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)))))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4218,plain,
% 217.76/140.34 ((v117(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | (~v84(constB75, 2))))) <=> (v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4219,plain,
% 217.76/140.34 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | (~v84(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)))))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[4218])).
% 217.76/140.34 tff(4220,plain,
% 217.76/140.34 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | (~v84(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)))))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4219, 4217])).
% 217.76/140.34 tff(4221,plain,
% 217.76/140.34 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | (~v84(constB75, 2)))))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4222,plain,
% 217.76/140.34 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))))),
% 217.76/140.34 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 217.76/140.34 tff(4223,plain,
% 217.76/140.34 (v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4222, 656])).
% 217.76/140.34 tff(4224,plain,
% 217.76/140.34 ((v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)) | (~v84(constB75, 0))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4225,plain,
% 217.76/140.34 (v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4224, 4185])).
% 217.76/140.34 tff(4226,plain,
% 217.76/140.34 ((~(v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))))) | (~v117(constB75)) | (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4227,plain,
% 217.76/140.34 ((~(v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))))) | (~v117(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4226, 4225])).
% 217.76/140.34 tff(4228,plain,
% 217.76/140.34 (~v117(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4227, 4223])).
% 217.76/140.34 tff(4229,plain,
% 217.76/140.34 ((~(v110(constB75) | v117(constB75))) | v110(constB75) | v117(constB75)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4230,plain,
% 217.76/140.34 ((~(v110(constB75) | v117(constB75))) | v110(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4229, 4228])).
% 217.76/140.34 tff(4231,plain,
% 217.76/140.34 (~(v110(constB75) | v117(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4230, 4216])).
% 217.76/140.34 tff(4232,plain,
% 217.76/140.34 ((~(v109(constB75) <=> (v110(constB75) | v117(constB75)))) | (~v109(constB75)) | (v110(constB75) | v117(constB75))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4233,plain,
% 217.76/140.34 (~v109(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4232, 4231, 4112])).
% 217.76/140.34 tff(4234,plain,
% 217.76/140.34 ((~(v109(constB75) | v118(constB75))) | v109(constB75) | v118(constB75)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4235,plain,
% 217.76/140.34 (~(v109(constB75) | v118(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4234, 4233, 4110])).
% 217.76/140.34 tff(4236,plain,
% 217.76/140.34 ((~(v108(constB75) <=> (v109(constB75) | v118(constB75)))) | (~v108(constB75)) | (v109(constB75) | v118(constB75))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4237,plain,
% 217.76/140.34 (~v108(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4236, 4235, 3865])).
% 217.76/140.34 tff(4238,plain,
% 217.76/140.34 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0)))))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4239,plain,
% 217.76/140.34 ((v119(constB75) <=> (~(v84(constB75, 0) | (~v84(constB75, 1)) | (~v84(constB75, 2))))) <=> (v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4240,plain,
% 217.76/140.34 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB75) <=> (~(v84(constB75, 0) | (~v84(constB75, 1)) | (~v84(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0)))))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[4239])).
% 217.76/140.34 tff(4241,plain,
% 217.76/140.34 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB75) <=> (~(v84(constB75, 0) | (~v84(constB75, 1)) | (~v84(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0)))))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4240, 4238])).
% 217.76/140.34 tff(4242,plain,
% 217.76/140.34 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB75) <=> (~(v84(constB75, 0) | (~v84(constB75, 1)) | (~v84(constB75, 2)))))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4243,plain,
% 217.76/140.34 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))))),
% 217.76/140.34 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 217.76/140.34 tff(4244,plain,
% 217.76/140.34 (v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0)))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4243, 318])).
% 217.76/140.34 tff(4245,plain,
% 217.76/140.34 (((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0)) | (~v84(constB75, 0))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4246,plain,
% 217.76/140.34 ((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4245, 4185])).
% 217.76/140.34 tff(4247,plain,
% 217.76/140.34 ((~(v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))))) | (~v119(constB75)) | (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0)))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4248,plain,
% 217.76/140.34 ((~(v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))))) | (~v119(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4247, 4246])).
% 217.76/140.34 tff(4249,plain,
% 217.76/140.34 (~v119(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4248, 4244])).
% 217.76/140.34 tff(4250,plain,
% 217.76/140.34 ((~(v108(constB75) | v119(constB75))) | v108(constB75) | v119(constB75)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4251,plain,
% 217.76/140.34 ((~(v108(constB75) | v119(constB75))) | v108(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4250, 4249])).
% 217.76/140.34 tff(4252,plain,
% 217.76/140.34 (~(v108(constB75) | v119(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4251, 4237])).
% 217.76/140.34 tff(4253,plain,
% 217.76/140.34 ((~(v107(constB75) <=> (v108(constB75) | v119(constB75)))) | (~v107(constB75)) | (v108(constB75) | v119(constB75))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4254,plain,
% 217.76/140.34 (~v107(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4253, 4252, 3863])).
% 217.76/140.34 tff(4255,plain,
% 217.76/140.34 (((~v107(constB75)) | (~v120(constB75))) | v107(constB75)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4256,plain,
% 217.76/140.34 ((~v107(constB75)) | (~v120(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4255, 4254])).
% 217.76/140.34 tff(4257,plain,
% 217.76/140.34 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB75) <=> (~((~v107(constB75)) | (~v120(constB75)))))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4258,plain,
% 217.76/140.34 (v106(constB75) <=> (~((~v107(constB75)) | (~v120(constB75))))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4257, 132])).
% 217.76/140.34 tff(4259,plain,
% 217.76/140.34 ((~(v106(constB75) <=> (~((~v107(constB75)) | (~v120(constB75)))))) | (~v106(constB75)) | (~((~v107(constB75)) | (~v120(constB75))))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4260,plain,
% 217.76/140.34 ((~v106(constB75)) | (~((~v107(constB75)) | (~v120(constB75))))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4259, 4258])).
% 217.76/140.34 tff(4261,plain,
% 217.76/140.34 (~v106(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4260, 4256])).
% 217.76/140.34 tff(4262,plain,
% 217.76/140.34 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB75) <=> v26(constB75))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4263,plain,
% 217.76/140.34 (v105(constB75) <=> v26(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4262, 156])).
% 217.76/140.34 tff(4264,plain,
% 217.76/140.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4265,plain,
% 217.76/140.34 (~v26(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4264, 168])).
% 217.76/140.34 tff(4266,plain,
% 217.76/140.34 ((~(v105(constB75) <=> v26(constB75))) | (~v105(constB75)) | v26(constB75)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4267,plain,
% 217.76/140.34 ((~(v105(constB75) <=> v26(constB75))) | (~v105(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4266, 4265])).
% 217.76/140.34 tff(4268,plain,
% 217.76/140.34 (~v105(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4267, 4263])).
% 217.76/140.34 tff(4269,plain,
% 217.76/140.34 ((~(v105(constB75) | v106(constB75))) | v105(constB75) | v106(constB75)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4270,plain,
% 217.76/140.34 ((~(v105(constB75) | v106(constB75))) | v106(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4269, 4268])).
% 217.76/140.34 tff(4271,plain,
% 217.76/140.34 (~(v105(constB75) | v106(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4270, 4261])).
% 217.76/140.34 tff(4272,plain,
% 217.76/140.34 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB75) <=> (v105(constB75) | v106(constB75)))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4273,plain,
% 217.76/140.34 (v102(constB75) <=> (v105(constB75) | v106(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4272, 115])).
% 217.76/140.34 tff(4274,plain,
% 217.76/140.34 ((~(v102(constB75) <=> (v105(constB75) | v106(constB75)))) | (~v102(constB75)) | (v105(constB75) | v106(constB75))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4275,plain,
% 217.76/140.34 ((~v102(constB75)) | (v105(constB75) | v106(constB75))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4274, 4273])).
% 217.76/140.34 tff(4276,plain,
% 217.76/140.34 (~v102(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4275, 4271])).
% 217.76/140.34 tff(4277,plain,
% 217.76/140.34 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4278,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75')).
% 217.76/140.34 tff(4279,plain,
% 217.76/140.34 (nextState(constB75, constB76)),
% 217.76/140.34 inference(modus_ponens,[status(thm)],[4278, 4277])).
% 217.76/140.34 tff(4280,plain,
% 217.76/140.34 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75)))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4281,plain,
% 217.76/140.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75)))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4282,plain,
% 217.76/140.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75))),
% 217.76/140.34 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 217.76/140.34 tff(4283,plain,
% 217.76/140.34 (v104(constB76) <=> v102(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4282, 4279, 101])).
% 217.76/140.34 tff(4284,plain,
% 217.76/140.34 ((~(v104(constB76) <=> v102(constB75))) | (~v104(constB76)) | v102(constB75)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4285,plain,
% 217.76/140.34 ((~v104(constB76)) | v102(constB75)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4284, 4283])).
% 217.76/140.34 tff(4286,plain,
% 217.76/140.34 (~v104(constB76)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4285, 4276])).
% 217.76/140.34 tff(4287,plain,
% 217.76/140.34 (((~v95(constB76)) | (~v104(constB76))) | v104(constB76)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4288,plain,
% 217.76/140.34 ((~v95(constB76)) | (~v104(constB76))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4287, 4286])).
% 217.76/140.34 tff(4289,plain,
% 217.76/140.34 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76))))))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4290,plain,
% 217.76/140.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76))))))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4291,plain,
% 217.76/140.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76)))))),
% 217.76/140.34 inference(modus_ponens,[status(thm)],[4290, 4289])).
% 217.76/140.34 tff(4292,plain,
% 217.76/140.34 (v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76))))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4291, 4279, 14])).
% 217.76/140.34 tff(4293,plain,
% 217.76/140.34 ((~(v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76)))))) | (~v94(constB76)) | (~((~v95(constB76)) | (~v104(constB76))))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4294,plain,
% 217.76/140.34 ((~v94(constB76)) | (~((~v95(constB76)) | (~v104(constB76))))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4293, 4292])).
% 217.76/140.34 tff(4295,plain,
% 217.76/140.34 (~v94(constB76)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4294, 4288])).
% 217.76/140.34 tff(4296,plain,
% 217.76/140.34 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB76) | (~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB76) | (~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B))))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4297,plain,
% 217.76/140.34 ((v94(constB76) | (~nextState(constB75, constB76)) | ![B: $int] : ((v84(constB76, B) <=> v84(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB76) | (~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B))))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4298,plain,
% 217.76/140.34 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB76) | (~nextState(constB75, constB76)) | ![B: $int] : ((v84(constB76, B) <=> v84(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB76) | (~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[4297])).
% 217.76/140.34 tff(4299,plain,
% 217.76/140.34 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB76) | (~nextState(constB75, constB76)) | ![B: $int] : ((v84(constB76, B) <=> v84(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB76) | (~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B))))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4298, 4296])).
% 217.76/140.34 tff(4300,plain,
% 217.76/140.34 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB76) | (~nextState(constB75, constB76)) | ![B: $int] : ((v84(constB76, B) <=> v84(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4301,plain,
% 217.76/140.34 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB76) | (~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))),
% 217.76/140.34 inference(modus_ponens,[status(thm)],[4300, 4299])).
% 217.76/140.34 tff(4302,plain,
% 217.76/140.34 (v94(constB76) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4301, 4279, 235])).
% 217.76/140.34 tff(4303,plain,
% 217.76/140.34 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4302, 4295])).
% 217.76/140.34 tff(4304,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 1) <=> v84(constB75, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 1) <=> v84(constB75, 1)))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4305,plain,
% 217.76/140.34 (($false | $false | (v84(constB76, 1) <=> v84(constB75, 1))) <=> (v84(constB76, 1) <=> v84(constB75, 1))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4306,plain,
% 217.76/140.34 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB76, 1) <=> v84(constB75, 1))) <=> ($false | $false | (v84(constB76, 1) <=> v84(constB75, 1)))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.34 tff(4307,plain,
% 217.76/140.34 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB76, 1) <=> v84(constB75, 1))) <=> (v84(constB76, 1) <=> v84(constB75, 1))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4306, 4305])).
% 217.76/140.34 tff(4308,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB76, 1) <=> v84(constB75, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 1) <=> v84(constB75, 1)))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[4307])).
% 217.76/140.34 tff(4309,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB76, 1) <=> v84(constB75, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 1) <=> v84(constB75, 1)))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4308, 4304])).
% 217.76/140.34 tff(4310,plain,
% 217.76/140.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB76, 1) <=> v84(constB75, 1)))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4311,plain,
% 217.76/140.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 1) <=> v84(constB75, 1))),
% 217.76/140.34 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 217.76/140.34 tff(4312,plain,
% 217.76/140.34 (v84(constB76, 1) <=> v84(constB75, 1)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4311, 4303])).
% 217.76/140.34 tff(4313,plain,
% 217.76/140.34 ((~(v84(constB76, 1) <=> v84(constB75, 1))) | v84(constB76, 1) | (~v84(constB75, 1))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4314,plain,
% 217.76/140.34 ((~(v84(constB76, 1) <=> v84(constB75, 1))) | v84(constB76, 1)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4313, 4106])).
% 217.76/140.34 tff(4315,plain,
% 217.76/140.34 (v84(constB76, 1)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4314, 4312])).
% 217.76/140.34 tff(4316,plain,
% 217.76/140.34 ((~(v84(constB77, 1) <=> v84(constB76, 1))) | v84(constB77, 1) | (~v84(constB76, 1))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4317,plain,
% 217.76/140.34 ((~(v84(constB77, 1) <=> v84(constB76, 1))) | v84(constB77, 1)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4316, 4315])).
% 217.76/140.34 tff(4318,plain,
% 217.76/140.34 (v84(constB77, 1)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4317, 3861])).
% 217.76/140.34 tff(4319,plain,
% 217.76/140.34 ((v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))) | (~v84(constB77, 1))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4320,plain,
% 217.76/140.34 (v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4319, 4318])).
% 217.76/140.34 tff(4321,plain,
% 217.76/140.34 ((~(v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))))) | (~v114(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[2178, 4320])).
% 217.76/140.34 tff(4322,plain,
% 217.76/140.34 (~v114(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4321, 2177])).
% 217.76/140.34 tff(4323,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 0) <=> v84(constB76, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 0) <=> v84(constB76, 0)))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4324,plain,
% 217.76/140.34 (($false | $false | (v84(constB77, 0) <=> v84(constB76, 0))) <=> (v84(constB77, 0) <=> v84(constB76, 0))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4325,plain,
% 217.76/140.34 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB77, 0) <=> v84(constB76, 0))) <=> ($false | $false | (v84(constB77, 0) <=> v84(constB76, 0)))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.34 tff(4326,plain,
% 217.76/140.34 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB77, 0) <=> v84(constB76, 0))) <=> (v84(constB77, 0) <=> v84(constB76, 0))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4325, 4324])).
% 217.76/140.34 tff(4327,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB77, 0) <=> v84(constB76, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 0) <=> v84(constB76, 0)))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[4326])).
% 217.76/140.34 tff(4328,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB77, 0) <=> v84(constB76, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 0) <=> v84(constB76, 0)))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4327, 4323])).
% 217.76/140.34 tff(4329,plain,
% 217.76/140.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB77, 0) <=> v84(constB76, 0)))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4330,plain,
% 217.76/140.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB77, B) <=> v84(constB76, B)))) | (v84(constB77, 0) <=> v84(constB76, 0))),
% 217.76/140.34 inference(modus_ponens,[status(thm)],[4329, 4328])).
% 217.76/140.34 tff(4331,plain,
% 217.76/140.34 (v84(constB77, 0) <=> v84(constB76, 0)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4330, 1353])).
% 217.76/140.34 tff(4332,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 0) <=> v84(constB75, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 0) <=> v84(constB75, 0)))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4333,plain,
% 217.76/140.34 (($false | $false | (v84(constB76, 0) <=> v84(constB75, 0))) <=> (v84(constB76, 0) <=> v84(constB75, 0))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4334,plain,
% 217.76/140.34 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB76, 0) <=> v84(constB75, 0))) <=> ($false | $false | (v84(constB76, 0) <=> v84(constB75, 0)))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.34 tff(4335,plain,
% 217.76/140.34 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB76, 0) <=> v84(constB75, 0))) <=> (v84(constB76, 0) <=> v84(constB75, 0))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4334, 4333])).
% 217.76/140.34 tff(4336,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB76, 0) <=> v84(constB75, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 0) <=> v84(constB75, 0)))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[4335])).
% 217.76/140.34 tff(4337,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB76, 0) <=> v84(constB75, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 0) <=> v84(constB75, 0)))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4336, 4332])).
% 217.76/140.34 tff(4338,plain,
% 217.76/140.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB76, 0) <=> v84(constB75, 0)))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4339,plain,
% 217.76/140.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 0) <=> v84(constB75, 0))),
% 217.76/140.34 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 217.76/140.34 tff(4340,plain,
% 217.76/140.34 (v84(constB76, 0) <=> v84(constB75, 0)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4339, 4303])).
% 217.76/140.34 tff(4341,plain,
% 217.76/140.34 ((~(v84(constB76, 0) <=> v84(constB75, 0))) | v84(constB76, 0) | (~v84(constB75, 0))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4342,plain,
% 217.76/140.34 ((~(v84(constB76, 0) <=> v84(constB75, 0))) | v84(constB76, 0)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4341, 4185])).
% 217.76/140.34 tff(4343,plain,
% 217.76/140.34 (v84(constB76, 0)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4342, 4340])).
% 217.76/140.34 tff(4344,plain,
% 217.76/140.34 ((~(v84(constB77, 0) <=> v84(constB76, 0))) | v84(constB77, 0) | (~v84(constB76, 0))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4345,plain,
% 217.76/140.34 ((~(v84(constB77, 0) <=> v84(constB76, 0))) | v84(constB77, 0)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4344, 4343])).
% 217.76/140.34 tff(4346,plain,
% 217.76/140.34 (v84(constB77, 0)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4345, 4331])).
% 217.76/140.34 tff(4347,plain,
% 217.76/140.34 (v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[2205, 4346])).
% 217.76/140.34 tff(4348,plain,
% 217.76/140.34 ((~(v113(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2))))) | (~v113(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[2207, 4347])).
% 217.76/140.34 tff(4349,plain,
% 217.76/140.34 (~v113(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4348, 1402])).
% 217.76/140.34 tff(4350,plain,
% 217.76/140.34 ((~(v113(constB77) | v114(constB77))) | v113(constB77) | v114(constB77)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4351,plain,
% 217.76/140.34 (~(v113(constB77) | v114(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4350, 4349, 4322])).
% 217.76/140.34 tff(4352,plain,
% 217.76/140.34 ((~(v112(constB77) <=> (v113(constB77) | v114(constB77)))) | (~v112(constB77)) | (v113(constB77) | v114(constB77))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4353,plain,
% 217.76/140.34 ((~(v112(constB77) <=> (v113(constB77) | v114(constB77)))) | (~v112(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4352, 4351])).
% 217.76/140.34 tff(4354,plain,
% 217.76/140.34 (~v112(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4353, 1404])).
% 217.76/140.34 tff(4355,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 2) <=> v84(constB75, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 2) <=> v84(constB75, 2)))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4356,plain,
% 217.76/140.34 (($false | $false | (v84(constB76, 2) <=> v84(constB75, 2))) <=> (v84(constB76, 2) <=> v84(constB75, 2))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4357,plain,
% 217.76/140.34 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB76, 2) <=> v84(constB75, 2))) <=> ($false | $false | (v84(constB76, 2) <=> v84(constB75, 2)))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.34 tff(4358,plain,
% 217.76/140.34 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB76, 2) <=> v84(constB75, 2))) <=> (v84(constB76, 2) <=> v84(constB75, 2))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4357, 4356])).
% 217.76/140.34 tff(4359,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB76, 2) <=> v84(constB75, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 2) <=> v84(constB75, 2)))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[4358])).
% 217.76/140.34 tff(4360,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB76, 2) <=> v84(constB75, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 2) <=> v84(constB75, 2)))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4359, 4355])).
% 217.76/140.34 tff(4361,plain,
% 217.76/140.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB76, 2) <=> v84(constB75, 2)))),
% 217.76/140.34 inference(quant_inst,[status(thm)],[])).
% 217.76/140.34 tff(4362,plain,
% 217.76/140.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | (v84(constB76, 2) <=> v84(constB75, 2))),
% 217.76/140.34 inference(modus_ponens,[status(thm)],[4361, 4360])).
% 217.76/140.34 tff(4363,plain,
% 217.76/140.34 (v84(constB76, 2) <=> v84(constB75, 2)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4362, 4303])).
% 217.76/140.34 tff(4364,plain,
% 217.76/140.34 ((~(v84(constB76, 2) <=> v84(constB75, 2))) | v84(constB76, 2) | (~v84(constB75, 2))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4365,plain,
% 217.76/140.34 ((~(v84(constB76, 2) <=> v84(constB75, 2))) | v84(constB76, 2)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4364, 4145])).
% 217.76/140.34 tff(4366,plain,
% 217.76/140.34 (v84(constB76, 2)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4365, 4363])).
% 217.76/140.34 tff(4367,plain,
% 217.76/140.34 ((~(v84(constB77, 2) <=> v84(constB76, 2))) | v84(constB77, 2)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[1452, 4366])).
% 217.76/140.34 tff(4368,plain,
% 217.76/140.34 (v84(constB77, 2)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4367, 1362])).
% 217.76/140.34 tff(4369,plain,
% 217.76/140.34 (((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)) | (~v84(constB77, 2))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4370,plain,
% 217.76/140.34 ((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4369, 4368])).
% 217.76/140.34 tff(4371,plain,
% 217.76/140.34 ((~(v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0))))) | (~v115(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[2202, 4370])).
% 217.76/140.34 tff(4372,plain,
% 217.76/140.34 (~v115(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4371, 1432])).
% 217.76/140.34 tff(4373,plain,
% 217.76/140.34 ((~(v112(constB77) | v115(constB77))) | v112(constB77) | v115(constB77)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4374,plain,
% 217.76/140.34 ((~(v112(constB77) | v115(constB77))) | v112(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4373, 4372])).
% 217.76/140.34 tff(4375,plain,
% 217.76/140.34 (~(v112(constB77) | v115(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4374, 4354])).
% 217.76/140.34 tff(4376,plain,
% 217.76/140.34 ((~(v111(constB77) <=> (v112(constB77) | v115(constB77)))) | (~v111(constB77)) | (v112(constB77) | v115(constB77))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4377,plain,
% 217.76/140.34 (~v111(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4376, 4375, 1406])).
% 217.76/140.34 tff(4378,plain,
% 217.76/140.34 (((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))) | (~v84(constB77, 2))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4379,plain,
% 217.76/140.34 ((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4378, 4368])).
% 217.76/140.34 tff(4380,plain,
% 217.76/140.34 ((~(v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0)))))) | (~v116(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[2173, 4379])).
% 217.76/140.34 tff(4381,plain,
% 217.76/140.34 (~v116(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4380, 2170])).
% 217.76/140.34 tff(4382,plain,
% 217.76/140.34 ((~(v111(constB77) | v116(constB77))) | v111(constB77) | v116(constB77)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4383,plain,
% 217.76/140.34 ((~(v111(constB77) | v116(constB77))) | v111(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4382, 4381])).
% 217.76/140.34 tff(4384,plain,
% 217.76/140.34 (~(v111(constB77) | v116(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4383, 4377])).
% 217.76/140.34 tff(4385,plain,
% 217.76/140.34 ((~(v110(constB77) <=> (v111(constB77) | v116(constB77)))) | (~v110(constB77)) | (v111(constB77) | v116(constB77))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4386,plain,
% 217.76/140.34 (~v110(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4385, 4384, 1408])).
% 217.76/140.34 tff(4387,plain,
% 217.76/140.34 ((v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)) | (~v84(constB77, 1))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4388,plain,
% 217.76/140.34 (v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4387, 4318])).
% 217.76/140.34 tff(4389,plain,
% 217.76/140.34 ((~(v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))))) | (~v117(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[2197, 4388])).
% 217.76/140.34 tff(4390,plain,
% 217.76/140.34 (~v117(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4389, 1461])).
% 217.76/140.34 tff(4391,plain,
% 217.76/140.34 ((~(v110(constB77) | v117(constB77))) | v110(constB77) | v117(constB77)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4392,plain,
% 217.76/140.34 ((~(v110(constB77) | v117(constB77))) | v110(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4391, 4390])).
% 217.76/140.34 tff(4393,plain,
% 217.76/140.34 (~(v110(constB77) | v117(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4392, 4386])).
% 217.76/140.34 tff(4394,plain,
% 217.76/140.34 ((~(v109(constB77) <=> (v110(constB77) | v117(constB77)))) | (~v109(constB77)) | (v110(constB77) | v117(constB77))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4395,plain,
% 217.76/140.34 (~v109(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4394, 4393, 1387])).
% 217.76/140.34 tff(4396,plain,
% 217.76/140.34 ((v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))) | (~v84(constB77, 1))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4397,plain,
% 217.76/140.34 (v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4396, 4318])).
% 217.76/140.34 tff(4398,plain,
% 217.76/140.34 ((~(v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))))) | (~v118(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[2161, 4397])).
% 217.76/140.34 tff(4399,plain,
% 217.76/140.34 (~v118(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4398, 2158])).
% 217.76/140.34 tff(4400,plain,
% 217.76/140.34 ((~(v109(constB77) | v118(constB77))) | v109(constB77) | v118(constB77)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4401,plain,
% 217.76/140.34 ((~(v109(constB77) | v118(constB77))) | v109(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4400, 4399])).
% 217.76/140.34 tff(4402,plain,
% 217.76/140.34 (~(v109(constB77) | v118(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4401, 4395])).
% 217.76/140.34 tff(4403,plain,
% 217.76/140.34 ((~(v108(constB77) <=> (v109(constB77) | v118(constB77)))) | (~v108(constB77)) | (v109(constB77) | v118(constB77))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4404,plain,
% 217.76/140.34 (~v108(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4403, 4402, 1389])).
% 217.76/140.34 tff(4405,plain,
% 217.76/140.34 (((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0)) | (~v84(constB77, 0))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4406,plain,
% 217.76/140.34 ((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4405, 4346])).
% 217.76/140.34 tff(4407,plain,
% 217.76/140.34 ((~(v119(constB77) <=> (~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0))))) | (~v119(constB77)) | (~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0)))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4408,plain,
% 217.76/140.34 ((~(v119(constB77) <=> (~((~v84(constB77, 1)) | (~v84(constB77, 2)) | v84(constB77, 0))))) | (~v119(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4407, 4406])).
% 217.76/140.34 tff(4409,plain,
% 217.76/140.34 (~v119(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4408, 1234])).
% 217.76/140.34 tff(4410,plain,
% 217.76/140.34 ((~(v108(constB77) | v119(constB77))) | v108(constB77) | v119(constB77)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4411,plain,
% 217.76/140.34 ((~(v108(constB77) | v119(constB77))) | v108(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4410, 4409])).
% 217.76/140.34 tff(4412,plain,
% 217.76/140.34 (~(v108(constB77) | v119(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4411, 4404])).
% 217.76/140.34 tff(4413,plain,
% 217.76/140.34 ((~(v107(constB77) <=> (v108(constB77) | v119(constB77)))) | (~v107(constB77)) | (v108(constB77) | v119(constB77))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4414,plain,
% 217.76/140.34 (~v107(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4413, 4412, 1236])).
% 217.76/140.34 tff(4415,plain,
% 217.76/140.34 (((~v107(constB77)) | (~v120(constB77))) | v107(constB77)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4416,plain,
% 217.76/140.34 ((~v107(constB77)) | (~v120(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4415, 4414])).
% 217.76/140.34 tff(4417,plain,
% 217.76/140.34 ((~(v106(constB77) <=> (~((~v107(constB77)) | (~v120(constB77)))))) | (~v106(constB77)) | (~((~v107(constB77)) | (~v120(constB77))))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4418,plain,
% 217.76/140.34 ((~v106(constB77)) | (~((~v107(constB77)) | (~v120(constB77))))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4417, 1297])).
% 217.76/140.34 tff(4419,plain,
% 217.76/140.34 (~v106(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4418, 4416])).
% 217.76/140.34 tff(4420,plain,
% 217.76/140.34 ((~(v105(constB77) | v106(constB77))) | v105(constB77) | v106(constB77)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4421,plain,
% 217.76/140.34 ((~(v105(constB77) | v106(constB77))) | v106(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4420, 1309])).
% 217.76/140.34 tff(4422,plain,
% 217.76/140.34 (~(v105(constB77) | v106(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4421, 4419])).
% 217.76/140.34 tff(4423,plain,
% 217.76/140.34 ((~(v102(constB77) <=> (v105(constB77) | v106(constB77)))) | (~v102(constB77)) | (v105(constB77) | v106(constB77))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4424,plain,
% 217.76/140.34 ((~v102(constB77)) | (v105(constB77) | v106(constB77))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4423, 1290])).
% 217.76/140.34 tff(4425,plain,
% 217.76/140.34 (~v102(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4424, 4422])).
% 217.76/140.34 tff(4426,plain,
% 217.76/140.34 ((~(v104(constB78) <=> v102(constB77))) | (~v104(constB78)) | v102(constB77)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4427,plain,
% 217.76/140.34 ((~v104(constB78)) | v102(constB77)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4426, 1285])).
% 217.76/140.34 tff(4428,plain,
% 217.76/140.34 (~v104(constB78)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4427, 4425])).
% 217.76/140.34 tff(4429,plain,
% 217.76/140.34 (((~v95(constB78)) | (~v104(constB78))) | v104(constB78)),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4430,plain,
% 217.76/140.34 ((~v95(constB78)) | (~v104(constB78))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4429, 4428])).
% 217.76/140.34 tff(4431,plain,
% 217.76/140.34 ((~(v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78)))))) | (~v94(constB78)) | (~((~v95(constB78)) | (~v104(constB78))))),
% 217.76/140.34 inference(tautology,[status(thm)],[])).
% 217.76/140.34 tff(4432,plain,
% 217.76/140.34 ((~v94(constB78)) | (~((~v95(constB78)) | (~v104(constB78))))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4431, 1244])).
% 217.76/140.34 tff(4433,plain,
% 217.76/140.34 (~v94(constB78)),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[4432, 4430])).
% 217.76/140.34 tff(4434,plain,
% 217.76/140.34 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))),
% 217.76/140.34 inference(unit_resolution,[status(thm)],[1369, 4433])).
% 217.76/140.34 tff(4435,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 2) <=> v84(constB77, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 2) <=> v84(constB77, 2)))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4436,plain,
% 217.76/140.34 (($false | $false | (v84(constB78, 2) <=> v84(constB77, 2))) <=> (v84(constB78, 2) <=> v84(constB77, 2))),
% 217.76/140.34 inference(rewrite,[status(thm)],[])).
% 217.76/140.34 tff(4437,plain,
% 217.76/140.34 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB78, 2) <=> v84(constB77, 2))) <=> ($false | $false | (v84(constB78, 2) <=> v84(constB77, 2)))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.34 tff(4438,plain,
% 217.76/140.34 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB78, 2) <=> v84(constB77, 2))) <=> (v84(constB78, 2) <=> v84(constB77, 2))),
% 217.76/140.34 inference(transitivity,[status(thm)],[4437, 4436])).
% 217.76/140.34 tff(4439,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB78, 2) <=> v84(constB77, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 2) <=> v84(constB77, 2)))),
% 217.76/140.34 inference(monotonicity,[status(thm)],[4438])).
% 217.76/140.34 tff(4440,plain,
% 217.76/140.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB78, 2) <=> v84(constB77, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 2) <=> v84(constB77, 2)))),
% 217.76/140.35 inference(transitivity,[status(thm)],[4439, 4435])).
% 217.76/140.35 tff(4441,plain,
% 217.76/140.35 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB78, 2) <=> v84(constB77, 2)))),
% 217.76/140.35 inference(quant_inst,[status(thm)],[])).
% 217.76/140.35 tff(4442,plain,
% 217.76/140.35 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 2) <=> v84(constB77, 2))),
% 217.76/140.35 inference(modus_ponens,[status(thm)],[4441, 4440])).
% 217.76/140.35 tff(4443,plain,
% 217.76/140.35 (v84(constB78, 2) <=> v84(constB77, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4442, 4434])).
% 217.76/140.35 tff(4444,plain,
% 217.76/140.35 ((~(v84(constB78, 2) <=> v84(constB77, 2))) | v84(constB78, 2) | (~v84(constB77, 2))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4445,plain,
% 217.76/140.35 ((~(v84(constB78, 2) <=> v84(constB77, 2))) | v84(constB78, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4444, 4368])).
% 217.76/140.35 tff(4446,plain,
% 217.76/140.35 (v84(constB78, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4445, 4443])).
% 217.76/140.35 tff(4447,plain,
% 217.76/140.35 ((~(v84(constB79, 2) <=> v84(constB78, 2))) | v84(constB79, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1611, 4446])).
% 217.76/140.35 tff(4448,plain,
% 217.76/140.35 (v84(constB79, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4447, 1227])).
% 217.76/140.35 tff(4449,plain,
% 217.76/140.35 ((v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))) | (~v84(constB79, 2))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4450,plain,
% 217.76/140.35 (v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4449, 4448])).
% 217.76/140.35 tff(4451,plain,
% 217.76/140.35 ((~(v114(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0)))))) | (~v114(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1780, 4450])).
% 217.76/140.35 tff(4452,plain,
% 217.76/140.35 (~v114(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4451, 1777])).
% 217.76/140.35 tff(4453,plain,
% 217.76/140.35 (v84(constB78, 0) <=> v84(constB77, 0)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1382, 4434])).
% 217.76/140.35 tff(4454,plain,
% 217.76/140.35 ((~(v84(constB78, 0) <=> v84(constB77, 0))) | v84(constB78, 0)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1372, 4346])).
% 217.76/140.35 tff(4455,plain,
% 217.76/140.35 (v84(constB78, 0)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4454, 4453])).
% 217.76/140.35 tff(4456,plain,
% 217.76/140.35 ((~(v84(constB79, 0) <=> v84(constB78, 0))) | v84(constB79, 0)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1201, 4455])).
% 217.76/140.35 tff(4457,plain,
% 217.76/140.35 (v84(constB79, 0)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4456, 1580])).
% 217.76/140.35 tff(4458,plain,
% 217.76/140.35 (v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3409, 4457])).
% 217.76/140.35 tff(4459,plain,
% 217.76/140.35 ((~(v113(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2))))) | (~v113(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1755, 4458])).
% 217.76/140.35 tff(4460,plain,
% 217.76/140.35 (~v113(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4459, 1752])).
% 217.76/140.35 tff(4461,plain,
% 217.76/140.35 (~(v113(constB79) | v114(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3413, 4460, 4452])).
% 217.76/140.35 tff(4462,plain,
% 217.76/140.35 ((~(v112(constB79) <=> (v113(constB79) | v114(constB79)))) | (~v112(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3415, 4461])).
% 217.76/140.35 tff(4463,plain,
% 217.76/140.35 (~v112(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4462, 445])).
% 217.76/140.35 tff(4464,plain,
% 217.76/140.35 (v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1768, 4448])).
% 217.76/140.35 tff(4465,plain,
% 217.76/140.35 ((~(v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))) | (~v115(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1770, 4464])).
% 217.76/140.35 tff(4466,plain,
% 217.76/140.35 (~v115(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4465, 1767])).
% 217.76/140.35 tff(4467,plain,
% 217.76/140.35 ((~(v112(constB79) | v115(constB79))) | v112(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3422, 4466])).
% 217.76/140.35 tff(4468,plain,
% 217.76/140.35 (~(v112(constB79) | v115(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4467, 4463])).
% 217.76/140.35 tff(4469,plain,
% 217.76/140.35 (~v111(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3425, 4468, 447])).
% 217.76/140.35 tff(4470,plain,
% 217.76/140.35 ((v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))) | (~v84(constB79, 2))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4471,plain,
% 217.76/140.35 (v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4470, 4448])).
% 217.76/140.35 tff(4472,plain,
% 217.76/140.35 ((~(v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))))) | (~v116(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1774, 4471])).
% 217.76/140.35 tff(4473,plain,
% 217.76/140.35 (~v116(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4472, 557])).
% 217.76/140.35 tff(4474,plain,
% 217.76/140.35 ((~(v111(constB79) | v116(constB79))) | v111(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3427, 4473])).
% 217.76/140.35 tff(4475,plain,
% 217.76/140.35 (~(v111(constB79) | v116(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4474, 4469])).
% 217.76/140.35 tff(4476,plain,
% 217.76/140.35 (v108(constB79) <=> (v109(constB79) | v118(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[429, 428])).
% 217.76/140.35 tff(4477,plain,
% 217.76/140.35 (v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1686, 318])).
% 217.76/140.35 tff(4478,plain,
% 217.76/140.35 (v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3242, 4457])).
% 217.76/140.35 tff(4479,plain,
% 217.76/140.35 ((~(v119(constB79) <=> (~(v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1)))))) | (~v119(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3244, 4478])).
% 217.76/140.35 tff(4480,plain,
% 217.76/140.35 (~v119(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4479, 4477])).
% 217.76/140.35 tff(4481,plain,
% 217.76/140.35 (v108(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3255, 4480, 3851])).
% 217.76/140.35 tff(4482,plain,
% 217.76/140.35 ((~(v108(constB79) <=> (v109(constB79) | v118(constB79)))) | (v109(constB79) | v118(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3257, 4481])).
% 217.76/140.35 tff(4483,plain,
% 217.76/140.35 (v109(constB79) | v118(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4482, 4476])).
% 217.76/140.35 tff(4484,plain,
% 217.76/140.35 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 1) <=> v84(constB77, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 1) <=> v84(constB77, 1)))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4485,plain,
% 217.76/140.35 (($false | $false | (v84(constB78, 1) <=> v84(constB77, 1))) <=> (v84(constB78, 1) <=> v84(constB77, 1))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4486,plain,
% 217.76/140.35 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB78, 1) <=> v84(constB77, 1))) <=> ($false | $false | (v84(constB78, 1) <=> v84(constB77, 1)))),
% 217.76/140.35 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.35 tff(4487,plain,
% 217.76/140.35 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB78, 1) <=> v84(constB77, 1))) <=> (v84(constB78, 1) <=> v84(constB77, 1))),
% 217.76/140.35 inference(transitivity,[status(thm)],[4486, 4485])).
% 217.76/140.35 tff(4488,plain,
% 217.76/140.35 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB78, 1) <=> v84(constB77, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 1) <=> v84(constB77, 1)))),
% 217.76/140.35 inference(monotonicity,[status(thm)],[4487])).
% 217.76/140.35 tff(4489,plain,
% 217.76/140.35 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB78, 1) <=> v84(constB77, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 1) <=> v84(constB77, 1)))),
% 217.76/140.35 inference(transitivity,[status(thm)],[4488, 4484])).
% 217.76/140.35 tff(4490,plain,
% 217.76/140.35 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB78, 1) <=> v84(constB77, 1)))),
% 217.76/140.35 inference(quant_inst,[status(thm)],[])).
% 217.76/140.35 tff(4491,plain,
% 217.76/140.35 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (v84(constB78, 1) <=> v84(constB77, 1))),
% 217.76/140.35 inference(modus_ponens,[status(thm)],[4490, 4489])).
% 217.76/140.35 tff(4492,plain,
% 217.76/140.35 (v84(constB78, 1) <=> v84(constB77, 1)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4491, 4434])).
% 217.76/140.35 tff(4493,plain,
% 217.76/140.35 ((~(v84(constB78, 1) <=> v84(constB77, 1))) | v84(constB78, 1) | (~v84(constB77, 1))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4494,plain,
% 217.76/140.35 ((~(v84(constB78, 1) <=> v84(constB77, 1))) | v84(constB78, 1)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4493, 4318])).
% 217.76/140.35 tff(4495,plain,
% 217.76/140.35 (v84(constB78, 1)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4494, 4492])).
% 217.76/140.35 tff(4496,plain,
% 217.76/140.35 ((~(v84(constB79, 1) <=> v84(constB78, 1))) | v84(constB79, 1)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1675, 4495])).
% 217.76/140.35 tff(4497,plain,
% 217.76/140.35 (v84(constB79, 1)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4496, 1623])).
% 217.76/140.35 tff(4498,plain,
% 217.76/140.35 ((v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))) | (~v84(constB79, 1))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4499,plain,
% 217.76/140.35 (v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4498, 4497])).
% 217.76/140.35 tff(4500,plain,
% 217.76/140.35 ((~(v118(constB79) <=> (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))))) | (~v118(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1786, 4499])).
% 217.76/140.35 tff(4501,plain,
% 217.76/140.35 (~v118(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4500, 1783])).
% 217.76/140.35 tff(4502,plain,
% 217.76/140.35 ((~(v109(constB79) | v118(constB79))) | v109(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3308, 4501])).
% 217.76/140.35 tff(4503,plain,
% 217.76/140.35 (v109(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4502, 4483])).
% 217.76/140.35 tff(4504,plain,
% 217.76/140.35 (v110(constB79) | v117(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3310, 4503, 458])).
% 217.76/140.35 tff(4505,plain,
% 217.76/140.35 (v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1757, 4497])).
% 217.76/140.35 tff(4506,plain,
% 217.76/140.35 ((~(v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))))) | (~v117(constB79))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[1759, 4505])).
% 217.76/140.35 tff(4507,plain,
% 217.76/140.35 (~v117(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4506, 1218])).
% 217.76/140.35 tff(4508,plain,
% 217.76/140.35 ((~(v110(constB79) | v117(constB79))) | v110(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3404, 4507])).
% 217.76/140.35 tff(4509,plain,
% 217.76/140.35 (v110(constB79)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4508, 4504])).
% 217.76/140.35 tff(4510,plain,
% 217.76/140.35 ($false),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3406, 4509, 4475, 449])).
% 217.76/140.35 tff(4511,plain,(v107(constB73) | (~(v108(constB79) | v119(constB79))) | (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.35 tff(4512,plain,
% 217.76/140.35 (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4511, 3852, 3851])).
% 217.76/140.35 tff(4513,plain,
% 217.76/140.35 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))))),
% 217.76/140.35 inference(quant_inst,[status(thm)],[])).
% 217.76/140.35 tff(4514,plain,
% 217.76/140.35 (v114(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4513, 298])).
% 217.76/140.35 tff(4515,assumption,(~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))), introduced(assumption)).
% 217.76/140.35 tff(4516,plain,
% 217.76/140.35 ((~(v114(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))))) | v114(constB73) | (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4517,plain,
% 217.76/140.35 ((~(v114(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))))) | v114(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4516, 4515])).
% 217.76/140.35 tff(4518,plain,
% 217.76/140.35 (v114(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4517, 4514])).
% 217.76/140.35 tff(4519,plain,
% 217.76/140.35 ((v113(constB73) | v114(constB73)) | (~v114(constB73))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4520,plain,
% 217.76/140.35 (v113(constB73) | v114(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4519, 4518])).
% 217.76/140.35 tff(4521,plain,
% 217.76/140.35 ((~(v112(constB73) <=> (v113(constB73) | v114(constB73)))) | v112(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4032, 4520])).
% 217.76/140.35 tff(4522,plain,
% 217.76/140.35 (v112(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4521, 4015])).
% 217.76/140.35 tff(4523,plain,
% 217.76/140.35 (v112(constB73) | v115(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4030, 4522])).
% 217.76/140.35 tff(4524,assumption,(~v110(constB73)), introduced(assumption)).
% 217.76/140.35 tff(4525,plain,
% 217.76/140.35 ((~(v110(constB73) <=> (v111(constB73) | v116(constB73)))) | (~(v111(constB73) | v116(constB73)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4022, 4524])).
% 217.76/140.35 tff(4526,plain,
% 217.76/140.35 (~(v111(constB73) | v116(constB73))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4525, 4019])).
% 217.76/140.35 tff(4527,plain,
% 217.76/140.35 (~v111(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4025, 4526])).
% 217.76/140.35 tff(4528,plain,
% 217.76/140.35 ($false),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4027, 4527, 4523, 4017])).
% 217.76/140.35 tff(4529,plain,(v110(constB73) | (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.35 tff(4530,plain,
% 217.76/140.35 (v110(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4529, 4512])).
% 217.76/140.35 tff(4531,plain,
% 217.76/140.35 (v110(constB73) | v117(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4020, 4530])).
% 217.76/140.35 tff(4532,assumption,(~(v107(constB73) <=> (v108(constB73) | v119(constB73)))), introduced(assumption)).
% 217.76/140.35 tff(4533,plain,
% 217.76/140.35 ($false),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3978, 187, 4532])).
% 217.76/140.35 tff(4534,plain,(v107(constB73) <=> (v108(constB73) | v119(constB73))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.35 tff(4535,plain,
% 217.76/140.35 (v107(constB73) | (~(v108(constB73) | v119(constB73)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3980, 4534])).
% 217.76/140.35 tff(4536,plain,
% 217.76/140.35 (~(v108(constB73) | v119(constB73))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4535, 3852])).
% 217.76/140.35 tff(4537,plain,
% 217.76/140.35 (~v108(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3983, 4536])).
% 217.76/140.35 tff(4538,assumption,(~(v108(constB73) <=> (v109(constB73) | v118(constB73)))), introduced(assumption)).
% 217.76/140.35 tff(4539,plain,
% 217.76/140.35 ($false),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3976, 428, 4538])).
% 217.76/140.35 tff(4540,plain,(v108(constB73) <=> (v109(constB73) | v118(constB73))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.35 tff(4541,plain,
% 217.76/140.35 (v108(constB73) | (~(v109(constB73) | v118(constB73)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3985, 4540])).
% 217.76/140.35 tff(4542,plain,
% 217.76/140.35 (~(v109(constB73) | v118(constB73))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4541, 4537])).
% 217.76/140.35 tff(4543,plain,
% 217.76/140.35 (~v109(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4002, 4542])).
% 217.76/140.35 tff(4544,assumption,(~(v109(constB73) <=> (v110(constB73) | v117(constB73)))), introduced(assumption)).
% 217.76/140.35 tff(4545,plain,
% 217.76/140.35 ($false),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4000, 456, 4544])).
% 217.76/140.35 tff(4546,plain,(v109(constB73) <=> (v110(constB73) | v117(constB73))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.35 tff(4547,plain,
% 217.76/140.35 (v109(constB73) | (~(v110(constB73) | v117(constB73)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4004, 4546])).
% 217.76/140.35 tff(4548,plain,
% 217.76/140.35 ($false),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4547, 4543, 4531])).
% 217.76/140.35 tff(4549,plain,(v107(constB73) | (~(v108(constB79) | v119(constB79)))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.35 tff(4550,plain,
% 217.76/140.35 (v107(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4549, 3850])).
% 217.76/140.35 tff(4551,plain,
% 217.76/140.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB73)) <=> v105(constB73))),
% 217.76/140.35 inference(quant_inst,[status(thm)],[])).
% 217.76/140.35 tff(4552,plain,
% 217.76/140.35 ((~v120(constB73)) <=> v105(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4551, 144])).
% 217.76/140.35 tff(4553,plain,
% 217.76/140.35 ((~((~v120(constB73)) <=> v105(constB73))) | v120(constB73) | v105(constB73)),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4554,plain,
% 217.76/140.35 ((~((~v120(constB73)) <=> v105(constB73))) | v120(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4553, 3929])).
% 217.76/140.35 tff(4555,plain,
% 217.76/140.35 (v120(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4554, 4552])).
% 217.76/140.35 tff(4556,plain,
% 217.76/140.35 ((~((~v107(constB73)) | (~v120(constB73)))) | (~v107(constB73)) | (~v120(constB73))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4557,plain,
% 217.76/140.35 ((~((~v107(constB73)) | (~v120(constB73)))) | (~v107(constB73))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4556, 4555])).
% 217.76/140.35 tff(4558,plain,
% 217.76/140.35 (~((~v107(constB73)) | (~v120(constB73)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4557, 4550])).
% 217.76/140.35 tff(4559,plain,
% 217.76/140.35 ((~(v106(constB73) <=> (~((~v107(constB73)) | (~v120(constB73)))))) | v106(constB73) | ((~v107(constB73)) | (~v120(constB73)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4560,plain,
% 217.76/140.35 (v106(constB73) | ((~v107(constB73)) | (~v120(constB73)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4559, 3919])).
% 217.76/140.35 tff(4561,plain,
% 217.76/140.35 (v106(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4560, 4558])).
% 217.76/140.35 tff(4562,plain,
% 217.76/140.35 ((v105(constB73) | v106(constB73)) | (~v106(constB73))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4563,plain,
% 217.76/140.35 (v105(constB73) | v106(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4562, 4561])).
% 217.76/140.35 tff(4564,plain,
% 217.76/140.35 ((~(v102(constB73) <=> (v105(constB73) | v106(constB73)))) | v102(constB73) | (~(v105(constB73) | v106(constB73)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4565,plain,
% 217.76/140.35 (v102(constB73) | (~(v105(constB73) | v106(constB73)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4564, 3934])).
% 217.76/140.35 tff(4566,plain,
% 217.76/140.35 (v102(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4565, 4563])).
% 217.76/140.35 tff(4567,plain,
% 217.76/140.35 ((~(v104(constB74) <=> v102(constB73))) | v104(constB74) | (~v102(constB73))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4568,plain,
% 217.76/140.35 (v104(constB74) | (~v102(constB73))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4567, 3944])).
% 217.76/140.35 tff(4569,plain,
% 217.76/140.35 (v104(constB74)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4568, 4566])).
% 217.76/140.35 tff(4570,plain,
% 217.76/140.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4571,plain,
% 217.76/140.35 (((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74)))))) <=> ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4572,plain,
% 217.76/140.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74)))))))),
% 217.76/140.35 inference(monotonicity,[status(thm)],[4571])).
% 217.76/140.35 tff(4573,plain,
% 217.76/140.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))),
% 217.76/140.35 inference(transitivity,[status(thm)],[4572, 4570])).
% 217.76/140.35 tff(4574,plain,
% 217.76/140.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74))))))),
% 217.76/140.35 inference(quant_inst,[status(thm)],[])).
% 217.76/140.35 tff(4575,plain,
% 217.76/140.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74)))))),
% 217.76/140.35 inference(modus_ponens,[status(thm)],[4574, 4573])).
% 217.76/140.35 tff(4576,plain,
% 217.76/140.35 (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4575, 3940, 37])).
% 217.76/140.35 tff(4577,plain,
% 217.76/140.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74)))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4578,plain,
% 217.76/140.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74)))),
% 217.76/140.35 inference(quant_inst,[status(thm)],[])).
% 217.76/140.35 tff(4579,plain,
% 217.76/140.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74))),
% 217.76/140.35 inference(modus_ponens,[status(thm)],[4578, 4577])).
% 217.76/140.35 tff(4580,plain,
% 217.76/140.35 ((~v96(constB74)) <=> v98(constB74)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4579, 3940, 54])).
% 217.76/140.35 tff(4581,plain,
% 217.76/140.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73)))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4582,plain,
% 217.76/140.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73)))),
% 217.76/140.35 inference(quant_inst,[status(thm)],[])).
% 217.76/140.35 tff(4583,plain,
% 217.76/140.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73))),
% 217.76/140.35 inference(modus_ponens,[status(thm)],[4582, 4581])).
% 217.76/140.35 tff(4584,plain,
% 217.76/140.35 (v98(constB74) <=> v1(constB73)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4583, 3940, 68])).
% 217.76/140.35 tff(4585,plain,
% 217.76/140.35 ((~v1(constB73)) <=> (~v1(constB73))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4586,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73')).
% 217.76/140.35 tff(4587,plain,
% 217.76/140.35 (~v1(constB73)),
% 217.76/140.35 inference(modus_ponens,[status(thm)],[4586, 4585])).
% 217.76/140.35 tff(4588,plain,
% 217.76/140.35 ((~(v98(constB74) <=> v1(constB73))) | (~v98(constB74)) | v1(constB73)),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4589,plain,
% 217.76/140.35 ((~(v98(constB74) <=> v1(constB73))) | (~v98(constB74))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4588, 4587])).
% 217.76/140.35 tff(4590,plain,
% 217.76/140.35 (~v98(constB74)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4589, 4584])).
% 217.76/140.35 tff(4591,plain,
% 217.76/140.35 ((~((~v96(constB74)) <=> v98(constB74))) | v96(constB74) | v98(constB74)),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4592,plain,
% 217.76/140.35 (v96(constB74)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4591, 4590, 4580])).
% 217.76/140.35 tff(4593,plain,
% 217.76/140.35 (v1(constB74) <=> v1(constB74)),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4594,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74')).
% 217.76/140.35 tff(4595,plain,
% 217.76/140.35 (v1(constB74)),
% 217.76/140.35 inference(modus_ponens,[status(thm)],[4594, 4593])).
% 217.76/140.35 tff(4596,plain,
% 217.76/140.35 ((~((~v1(constB74)) | (~v96(constB74)))) | (~v1(constB74)) | (~v96(constB74))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4597,plain,
% 217.76/140.35 ((~((~v1(constB74)) | (~v96(constB74)))) | (~v96(constB74))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4596, 4595])).
% 217.76/140.35 tff(4598,plain,
% 217.76/140.35 (~((~v1(constB74)) | (~v96(constB74)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4597, 4592])).
% 217.76/140.35 tff(4599,plain,
% 217.76/140.35 ((~(v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74)))))) | v95(constB74) | ((~v1(constB74)) | (~v96(constB74)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4600,plain,
% 217.76/140.35 (v95(constB74)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4599, 4598, 4576])).
% 217.76/140.35 tff(4601,plain,
% 217.76/140.35 ((~((~v95(constB74)) | (~v104(constB74)))) | (~v95(constB74)) | (~v104(constB74))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4602,plain,
% 217.76/140.35 ((~((~v95(constB74)) | (~v104(constB74)))) | (~v104(constB74))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4601, 4600])).
% 217.76/140.35 tff(4603,plain,
% 217.76/140.35 (~((~v95(constB74)) | (~v104(constB74)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4602, 4569])).
% 217.76/140.35 tff(4604,plain,
% 217.76/140.35 ((~(v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74)))))) | v94(constB74) | ((~v95(constB74)) | (~v104(constB74)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4605,plain,
% 217.76/140.35 (v94(constB74) | ((~v95(constB74)) | (~v104(constB74)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4604, 3953])).
% 217.76/140.35 tff(4606,plain,
% 217.76/140.35 (v94(constB74)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4605, 4603])).
% 217.76/140.35 tff(4607,plain,
% 217.76/140.35 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B))))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4608,plain,
% 217.76/140.35 (((~v94(constB74)) | ![B: $int] : ((v84(constB74, B) <=> v123(constB74, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B))))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4609,plain,
% 217.76/140.35 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB74)) | ![B: $int] : ((v84(constB74, B) <=> v123(constB74, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))))),
% 217.76/140.35 inference(monotonicity,[status(thm)],[4608])).
% 217.76/140.35 tff(4610,plain,
% 217.76/140.35 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB74)) | ![B: $int] : ((v84(constB74, B) <=> v123(constB74, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B))))),
% 217.76/140.35 inference(transitivity,[status(thm)],[4609, 4607])).
% 217.76/140.35 tff(4611,plain,
% 217.76/140.35 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB74)) | ![B: $int] : ((v84(constB74, B) <=> v123(constB74, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.35 inference(quant_inst,[status(thm)],[])).
% 217.76/140.35 tff(4612,plain,
% 217.76/140.35 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))),
% 217.76/140.35 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 217.76/140.35 tff(4613,plain,
% 217.76/140.35 ((~v94(constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4612, 1491])).
% 217.76/140.35 tff(4614,plain,
% 217.76/140.35 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4613, 4606])).
% 217.76/140.35 tff(4615,assumption,(~v107(constB75)), introduced(assumption)).
% 217.76/140.35 tff(4616,assumption,(~v84(constB75, 0)), introduced(assumption)).
% 217.76/140.35 tff(4617,plain,
% 217.76/140.35 ((~v107(constB75)) | (~v120(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4255, 4615])).
% 217.76/140.35 tff(4618,plain,
% 217.76/140.35 (~v106(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4260, 4617])).
% 217.76/140.35 tff(4619,plain,
% 217.76/140.35 (~(v105(constB75) | v106(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4270, 4618])).
% 217.76/140.35 tff(4620,plain,
% 217.76/140.35 (~v102(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4275, 4619])).
% 217.76/140.35 tff(4621,plain,
% 217.76/140.35 (~v104(constB76)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4285, 4620])).
% 217.76/140.35 tff(4622,plain,
% 217.76/140.35 ((~v95(constB76)) | (~v104(constB76))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4287, 4621])).
% 217.76/140.35 tff(4623,plain,
% 217.76/140.35 (~v94(constB76)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4294, 4622])).
% 217.76/140.35 tff(4624,plain,
% 217.76/140.35 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4302, 4623])).
% 217.76/140.35 tff(4625,plain,
% 217.76/140.35 ((~(v107(constB75) <=> (v108(constB75) | v119(constB75)))) | v107(constB75) | (~(v108(constB75) | v119(constB75)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4626,plain,
% 217.76/140.35 (~(v108(constB75) | v119(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4625, 4615, 3863])).
% 217.76/140.35 tff(4627,plain,
% 217.76/140.35 ((v108(constB75) | v119(constB75)) | (~v108(constB75))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4628,plain,
% 217.76/140.35 (~v108(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4627, 4626])).
% 217.76/140.35 tff(4629,plain,
% 217.76/140.35 ((~(v108(constB75) <=> (v109(constB75) | v118(constB75)))) | v108(constB75) | (~(v109(constB75) | v118(constB75)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4630,plain,
% 217.76/140.35 (~(v109(constB75) | v118(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4629, 4628, 3865])).
% 217.76/140.35 tff(4631,plain,
% 217.76/140.35 ((v109(constB75) | v118(constB75)) | (~v109(constB75))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4632,plain,
% 217.76/140.35 (~v109(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4631, 4630])).
% 217.76/140.35 tff(4633,plain,
% 217.76/140.35 ((~(v109(constB75) <=> (v110(constB75) | v117(constB75)))) | v109(constB75) | (~(v110(constB75) | v117(constB75)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4634,plain,
% 217.76/140.35 (~(v110(constB75) | v117(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4633, 4632, 4112])).
% 217.76/140.35 tff(4635,plain,
% 217.76/140.35 ((v110(constB75) | v117(constB75)) | (~v110(constB75))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4636,plain,
% 217.76/140.35 (~v110(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4635, 4634])).
% 217.76/140.35 tff(4637,plain,
% 217.76/140.35 ((~(v110(constB75) <=> (v111(constB75) | v116(constB75)))) | v110(constB75) | (~(v111(constB75) | v116(constB75)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4638,plain,
% 217.76/140.35 (~(v111(constB75) | v116(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4637, 4636, 4114])).
% 217.76/140.35 tff(4639,plain,
% 217.76/140.35 ((v111(constB75) | v116(constB75)) | (~v111(constB75))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4640,plain,
% 217.76/140.35 (~v111(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4639, 4638])).
% 217.76/140.35 tff(4641,plain,
% 217.76/140.35 ((~(v111(constB75) <=> (v112(constB75) | v115(constB75)))) | v111(constB75) | (~(v112(constB75) | v115(constB75)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4642,plain,
% 217.76/140.35 (~(v112(constB75) | v115(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4641, 4640, 4151])).
% 217.76/140.35 tff(4643,plain,
% 217.76/140.35 ((v112(constB75) | v115(constB75)) | (~v115(constB75))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4644,plain,
% 217.76/140.35 (~v115(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4643, 4642])).
% 217.76/140.35 tff(4645,plain,
% 217.76/140.35 ((~(v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))))) | v115(constB75) | ((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4646,plain,
% 217.76/140.35 ((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4645, 4644, 4202])).
% 217.76/140.35 tff(4647,plain,
% 217.76/140.35 (v84(constB76, 2) <=> v84(constB75, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4362, 4624])).
% 217.76/140.35 tff(4648,plain,
% 217.76/140.35 ((~(v84(constB76, 2) <=> v84(constB75, 2))) | (~v84(constB75, 2))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4364, 1424])).
% 217.76/140.35 tff(4649,plain,
% 217.76/140.35 (~v84(constB75, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4648, 4647])).
% 217.76/140.35 tff(4650,plain,
% 217.76/140.35 ((v112(constB75) | v115(constB75)) | (~v112(constB75))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4651,plain,
% 217.76/140.35 (~v112(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4650, 4642])).
% 217.76/140.35 tff(4652,plain,
% 217.76/140.35 ((~(v112(constB75) <=> (v113(constB75) | v114(constB75)))) | v112(constB75) | (~(v113(constB75) | v114(constB75)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4653,plain,
% 217.76/140.35 (~(v113(constB75) | v114(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4652, 4651, 4153])).
% 217.76/140.35 tff(4654,plain,
% 217.76/140.35 ((v113(constB75) | v114(constB75)) | (~v113(constB75))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4655,plain,
% 217.76/140.35 (~v113(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4654, 4653])).
% 217.76/140.35 tff(4656,plain,
% 217.76/140.35 ((~(v113(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))))) | v113(constB75) | (v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4657,plain,
% 217.76/140.35 (v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4656, 4655, 4161])).
% 217.76/140.35 tff(4658,plain,
% 217.76/140.35 ((~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))) | v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4659,plain,
% 217.76/140.35 ((~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))) | v84(constB75, 1) | v84(constB75, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4658, 4616])).
% 217.76/140.35 tff(4660,plain,
% 217.76/140.35 (v84(constB75, 1)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4659, 4649, 4657])).
% 217.76/140.35 tff(4661,plain,
% 217.76/140.35 ((~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))) | (~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4662,plain,
% 217.76/140.35 ((~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))) | (~v84(constB75, 1)) | v84(constB75, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4661, 4616])).
% 217.76/140.35 tff(4663,plain,
% 217.76/140.35 ($false),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4662, 4660, 4649, 4646])).
% 217.76/140.35 tff(4664,plain,(v107(constB75) | v84(constB75, 0) | v84(constB76, 2)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.35 tff(4665,plain,
% 217.76/140.35 (v84(constB75, 0)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4664, 4615, 1424])).
% 217.76/140.35 tff(4666,assumption,(~v84(constB75, 2)), introduced(assumption)).
% 217.76/140.35 tff(4667,plain,
% 217.76/140.35 ((~(v107(constB75) <=> (v108(constB75) | v119(constB75)))) | (~(v108(constB75) | v119(constB75)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4625, 4615])).
% 217.76/140.35 tff(4668,plain,
% 217.76/140.35 (~(v108(constB75) | v119(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4667, 3863])).
% 217.76/140.35 tff(4669,plain,
% 217.76/140.35 (~v108(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4627, 4668])).
% 217.76/140.35 tff(4670,plain,
% 217.76/140.35 ((~(v108(constB75) <=> (v109(constB75) | v118(constB75)))) | (~(v109(constB75) | v118(constB75)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4629, 4669])).
% 217.76/140.35 tff(4671,plain,
% 217.76/140.35 (~(v109(constB75) | v118(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4670, 3865])).
% 217.76/140.35 tff(4672,plain,
% 217.76/140.35 (~v109(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4631, 4671])).
% 217.76/140.35 tff(4673,plain,
% 217.76/140.35 ((~(v109(constB75) <=> (v110(constB75) | v117(constB75)))) | (~(v110(constB75) | v117(constB75)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4633, 4672])).
% 217.76/140.35 tff(4674,plain,
% 217.76/140.35 (~(v110(constB75) | v117(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4673, 4112])).
% 217.76/140.35 tff(4675,plain,
% 217.76/140.35 (~v110(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4635, 4674])).
% 217.76/140.35 tff(4676,plain,
% 217.76/140.35 ((~(v110(constB75) <=> (v111(constB75) | v116(constB75)))) | (~(v111(constB75) | v116(constB75)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4637, 4675])).
% 217.76/140.35 tff(4677,plain,
% 217.76/140.35 (~(v111(constB75) | v116(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4676, 4114])).
% 217.76/140.35 tff(4678,plain,
% 217.76/140.35 ((v111(constB75) | v116(constB75)) | (~v116(constB75))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4679,plain,
% 217.76/140.35 (~v116(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4678, 4677])).
% 217.76/140.35 tff(4680,plain,
% 217.76/140.35 ((~(v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))))) | v116(constB75) | ((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4681,plain,
% 217.76/140.35 ((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4680, 4679, 4121])).
% 217.76/140.35 tff(4682,plain,
% 217.76/140.35 ((~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))) | (~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4683,plain,
% 217.76/140.35 ((~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))) | (~v84(constB75, 1))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4682, 4666, 4665])).
% 217.76/140.35 tff(4684,plain,
% 217.76/140.35 (~v84(constB75, 1)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4683, 4681])).
% 217.76/140.35 tff(4685,plain,
% 217.76/140.35 ((~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))) | v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4686,plain,
% 217.76/140.35 (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4685, 4684, 4666, 4665])).
% 217.76/140.35 tff(4687,plain,
% 217.76/140.35 (~v111(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4639, 4677])).
% 217.76/140.35 tff(4688,plain,
% 217.76/140.35 (~(v112(constB75) | v115(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4641, 4687, 4151])).
% 217.76/140.35 tff(4689,plain,
% 217.76/140.35 (~v112(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4650, 4688])).
% 217.76/140.35 tff(4690,plain,
% 217.76/140.35 (~(v113(constB75) | v114(constB75))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4652, 4689, 4153])).
% 217.76/140.35 tff(4691,plain,
% 217.76/140.35 ((v113(constB75) | v114(constB75)) | (~v114(constB75))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4692,plain,
% 217.76/140.35 (~v114(constB75)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4691, 4690])).
% 217.76/140.35 tff(4693,plain,
% 217.76/140.35 ((~(v114(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))))) | v114(constB75) | (v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4694,plain,
% 217.76/140.35 ($false),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4693, 4692, 4686, 4155])).
% 217.76/140.35 tff(4695,plain,(v107(constB75) | v84(constB75, 2) | v84(constB76, 2)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.35 tff(4696,plain,
% 217.76/140.35 (v84(constB75, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4695, 4615, 1424])).
% 217.76/140.35 tff(4697,plain,
% 217.76/140.35 (~(v84(constB76, 2) <=> v84(constB75, 2))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4364, 4696, 1424])).
% 217.76/140.35 tff(4698,plain,
% 217.76/140.35 ($false),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4362, 4624, 4697])).
% 217.76/140.35 tff(4699,plain,(v107(constB75) | v84(constB76, 2)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.35 tff(4700,plain,
% 217.76/140.35 (v84(constB76, 2)),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4699, 4615])).
% 217.76/140.35 tff(4701,assumption,(~v84(constB76, 0)), introduced(assumption)).
% 217.76/140.35 tff(4702,assumption,(~(v107(constB75) <=> (v108(constB75) | v119(constB75)))), introduced(assumption)).
% 217.76/140.35 tff(4703,plain,
% 217.76/140.35 ($false),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[3862, 187, 4702])).
% 217.76/140.35 tff(4704,plain,(v107(constB75) <=> (v108(constB75) | v119(constB75))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.35 tff(4705,assumption,(~v94(constB76)), introduced(assumption)).
% 217.76/140.35 tff(4706,plain,
% 217.76/140.35 ((~(v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76)))))) | v94(constB76) | ((~v95(constB76)) | (~v104(constB76)))),
% 217.76/140.35 inference(tautology,[status(thm)],[])).
% 217.76/140.35 tff(4707,plain,
% 217.76/140.35 (v94(constB76) | ((~v95(constB76)) | (~v104(constB76)))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4706, 4292])).
% 217.76/140.35 tff(4708,plain,
% 217.76/140.35 ((~v95(constB76)) | (~v104(constB76))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4707, 4705])).
% 217.76/140.35 tff(4709,plain,
% 217.76/140.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4710,plain,
% 217.76/140.35 (((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76)))))) <=> ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4711,plain,
% 217.76/140.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76)))))))),
% 217.76/140.35 inference(monotonicity,[status(thm)],[4710])).
% 217.76/140.35 tff(4712,plain,
% 217.76/140.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))),
% 217.76/140.35 inference(transitivity,[status(thm)],[4711, 4709])).
% 217.76/140.35 tff(4713,plain,
% 217.76/140.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76))))))),
% 217.76/140.35 inference(quant_inst,[status(thm)],[])).
% 217.76/140.35 tff(4714,plain,
% 217.76/140.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76)))))),
% 217.76/140.35 inference(modus_ponens,[status(thm)],[4713, 4712])).
% 217.76/140.35 tff(4715,plain,
% 217.76/140.35 (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))),
% 217.76/140.35 inference(unit_resolution,[status(thm)],[4714, 4279, 37])).
% 217.76/140.35 tff(4716,plain,
% 217.76/140.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76)))),
% 217.76/140.35 inference(rewrite,[status(thm)],[])).
% 217.76/140.35 tff(4717,plain,
% 217.76/140.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76)))),
% 217.76/140.35 inference(quant_inst,[status(thm)],[])).
% 217.76/140.35 tff(4718,plain,
% 217.76/140.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4717, 4716])).
% 217.76/140.36 tff(4719,plain,
% 217.76/140.36 ((~v96(constB76)) <=> v98(constB76)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4718, 4279, 54])).
% 217.76/140.36 tff(4720,plain,
% 217.76/140.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75)))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4721,plain,
% 217.76/140.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75)))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4722,plain,
% 217.76/140.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4721, 4720])).
% 217.76/140.36 tff(4723,plain,
% 217.76/140.36 (v98(constB76) <=> v1(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4722, 4279, 68])).
% 217.76/140.36 tff(4724,plain,
% 217.76/140.36 ((~(v98(constB76) <=> v1(constB75))) | (~v98(constB76)) | v1(constB75)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4725,plain,
% 217.76/140.36 ((~(v98(constB76) <=> v1(constB75))) | (~v98(constB76))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4724, 3889])).
% 217.76/140.36 tff(4726,plain,
% 217.76/140.36 (~v98(constB76)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4725, 4723])).
% 217.76/140.36 tff(4727,plain,
% 217.76/140.36 ((~((~v96(constB76)) <=> v98(constB76))) | v96(constB76) | v98(constB76)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4728,plain,
% 217.76/140.36 (v96(constB76)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4727, 4726, 4719])).
% 217.76/140.36 tff(4729,plain,
% 217.76/140.36 (v1(constB76) <=> v1(constB76)),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4730,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76')).
% 217.76/140.36 tff(4731,plain,
% 217.76/140.36 (v1(constB76)),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4730, 4729])).
% 217.76/140.36 tff(4732,plain,
% 217.76/140.36 ((~((~v1(constB76)) | (~v96(constB76)))) | (~v1(constB76)) | (~v96(constB76))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4733,plain,
% 217.76/140.36 ((~((~v1(constB76)) | (~v96(constB76)))) | (~v96(constB76))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4732, 4731])).
% 217.76/140.36 tff(4734,plain,
% 217.76/140.36 (~((~v1(constB76)) | (~v96(constB76)))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4733, 4728])).
% 217.76/140.36 tff(4735,plain,
% 217.76/140.36 ((~(v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76)))))) | v95(constB76) | ((~v1(constB76)) | (~v96(constB76)))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4736,plain,
% 217.76/140.36 (v95(constB76)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4735, 4734, 4715])).
% 217.76/140.36 tff(4737,plain,
% 217.76/140.36 ((~((~v95(constB76)) | (~v104(constB76)))) | (~v95(constB76)) | (~v104(constB76))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4738,plain,
% 217.76/140.36 ((~((~v95(constB76)) | (~v104(constB76)))) | (~v104(constB76))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4737, 4736])).
% 217.76/140.36 tff(4739,plain,
% 217.76/140.36 (~v104(constB76)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4738, 4708])).
% 217.76/140.36 tff(4740,plain,
% 217.76/140.36 ((~(v104(constB76) <=> v102(constB75))) | v104(constB76) | (~v102(constB75))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4741,plain,
% 217.76/140.36 (v104(constB76) | (~v102(constB75))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4740, 4283])).
% 217.76/140.36 tff(4742,plain,
% 217.76/140.36 (~v102(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4741, 4739])).
% 217.76/140.36 tff(4743,plain,
% 217.76/140.36 ((~(v102(constB75) <=> (v105(constB75) | v106(constB75)))) | v102(constB75) | (~(v105(constB75) | v106(constB75)))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4744,plain,
% 217.76/140.36 (v102(constB75) | (~(v105(constB75) | v106(constB75)))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4743, 4273])).
% 217.76/140.36 tff(4745,plain,
% 217.76/140.36 (~(v105(constB75) | v106(constB75))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4744, 4742])).
% 217.76/140.36 tff(4746,plain,
% 217.76/140.36 ((v105(constB75) | v106(constB75)) | (~v106(constB75))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4747,plain,
% 217.76/140.36 (~v106(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4746, 4745])).
% 217.76/140.36 tff(4748,plain,
% 217.76/140.36 ((~(v106(constB75) <=> (~((~v107(constB75)) | (~v120(constB75)))))) | v106(constB75) | ((~v107(constB75)) | (~v120(constB75)))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4749,plain,
% 217.76/140.36 (v106(constB75) | ((~v107(constB75)) | (~v120(constB75)))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4748, 4258])).
% 217.76/140.36 tff(4750,plain,
% 217.76/140.36 ((~v107(constB75)) | (~v120(constB75))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4749, 4747])).
% 217.76/140.36 tff(4751,plain,
% 217.76/140.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB75)) <=> v105(constB75))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4752,plain,
% 217.76/140.36 ((~v120(constB75)) <=> v105(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4751, 144])).
% 217.76/140.36 tff(4753,plain,
% 217.76/140.36 ((~((~v120(constB75)) <=> v105(constB75))) | v120(constB75) | v105(constB75)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4754,plain,
% 217.76/140.36 ((~((~v120(constB75)) <=> v105(constB75))) | v120(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4753, 4268])).
% 217.76/140.36 tff(4755,plain,
% 217.76/140.36 (v120(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4754, 4752])).
% 217.76/140.36 tff(4756,plain,
% 217.76/140.36 ((~((~v107(constB75)) | (~v120(constB75)))) | (~v107(constB75)) | (~v120(constB75))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4757,plain,
% 217.76/140.36 ((~((~v107(constB75)) | (~v120(constB75)))) | (~v107(constB75))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4756, 4755])).
% 217.76/140.36 tff(4758,plain,
% 217.76/140.36 (~v107(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4757, 4750])).
% 217.76/140.36 tff(4759,plain,
% 217.76/140.36 (~(v108(constB75) | v119(constB75))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4625, 4758, 4704])).
% 217.76/140.36 tff(4760,plain,
% 217.76/140.36 ((v108(constB75) | v119(constB75)) | (~v119(constB75))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4761,plain,
% 217.76/140.36 (~v119(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4760, 4759])).
% 217.76/140.36 tff(4762,plain,
% 217.76/140.36 ((~(v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))))) | v119(constB75) | ((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4763,plain,
% 217.76/140.36 ((~(v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))))) | ((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4762, 4761])).
% 217.76/140.36 tff(4764,plain,
% 217.76/140.36 ((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4763, 4244])).
% 217.76/140.36 tff(4765,assumption,(v84(constB76, 2)), introduced(assumption)).
% 217.76/140.36 tff(4766,plain,
% 217.76/140.36 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4302, 4705])).
% 217.76/140.36 tff(4767,assumption,(~(v84(constB76, 2) <=> v84(constB75, 2))), introduced(assumption)).
% 217.76/140.36 tff(4768,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))), introduced(assumption)).
% 217.76/140.36 tff(4769,plain,
% 217.76/140.36 ($false),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4362, 4768, 4767])).
% 217.76/140.36 tff(4770,plain,((v84(constB76, 2) <=> v84(constB75, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.36 tff(4771,plain,
% 217.76/140.36 (v84(constB76, 2) <=> v84(constB75, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4770, 4766])).
% 217.76/140.36 tff(4772,plain,
% 217.76/140.36 ((~(v84(constB76, 2) <=> v84(constB75, 2))) | (~v84(constB76, 2)) | v84(constB75, 2)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4773,plain,
% 217.76/140.36 (v84(constB75, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4772, 4771, 4765])).
% 217.76/140.36 tff(4774,plain,
% 217.76/140.36 ((v109(constB75) | v118(constB75)) | (~v118(constB75))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4775,plain,
% 217.76/140.36 (~v118(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4774, 4671])).
% 217.76/140.36 tff(4776,plain,
% 217.76/140.36 ((~(v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))) | v118(constB75) | (v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4777,plain,
% 217.76/140.36 ((~(v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))) | (v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4776, 4775])).
% 217.76/140.36 tff(4778,plain,
% 217.76/140.36 (v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4777, 3872])).
% 217.76/140.36 tff(4779,plain,
% 217.76/140.36 (v84(constB76, 2) <=> v84(constB75, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4770, 4624])).
% 217.76/140.36 tff(4780,plain,
% 217.76/140.36 ((~(v84(constB76, 2) <=> v84(constB75, 2))) | v84(constB75, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4772, 4700])).
% 217.76/140.36 tff(4781,plain,
% 217.76/140.36 (v84(constB75, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4780, 4779])).
% 217.76/140.36 tff(4782,assumption,(~v84(constB75, 1)), introduced(assumption)).
% 217.76/140.36 tff(4783,plain,
% 217.76/140.36 (v84(constB76, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4664, 4615, 4616])).
% 217.76/140.36 tff(4784,plain,
% 217.76/140.36 ((v110(constB75) | v117(constB75)) | (~v117(constB75))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4785,plain,
% 217.76/140.36 (~v117(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4784, 4674])).
% 217.76/140.36 tff(4786,plain,
% 217.76/140.36 ((~(v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))))) | v117(constB75) | (v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4787,plain,
% 217.76/140.36 (v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4786, 4785, 4223])).
% 217.76/140.36 tff(4788,plain,
% 217.76/140.36 ((~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))) | v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4789,plain,
% 217.76/140.36 ((~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))) | (~v84(constB75, 2))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4788, 4782, 4616])).
% 217.76/140.36 tff(4790,plain,
% 217.76/140.36 (~v84(constB75, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4789, 4787])).
% 217.76/140.36 tff(4791,plain,
% 217.76/140.36 (~(v84(constB76, 2) <=> v84(constB75, 2))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4772, 4790, 4783])).
% 217.76/140.36 tff(4792,plain,
% 217.76/140.36 ($false),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4362, 4624, 4791])).
% 217.76/140.36 tff(4793,plain,(v107(constB75) | v84(constB75, 1) | v84(constB75, 0)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.36 tff(4794,plain,
% 217.76/140.36 (v84(constB75, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4793, 4782, 4615])).
% 217.76/140.36 tff(4795,plain,
% 217.76/140.36 ((~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))) | v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4796,plain,
% 217.76/140.36 ($false),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4795, 4794, 4782, 4781, 4778])).
% 217.76/140.36 tff(4797,plain,(v84(constB75, 1) | v107(constB75)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.36 tff(4798,plain,
% 217.76/140.36 (v84(constB75, 1)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4797, 4758])).
% 217.76/140.36 tff(4799,plain,
% 217.76/140.36 ((~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))) | (~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4800,plain,
% 217.76/140.36 ((~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))) | v84(constB75, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4799, 4798, 4773])).
% 217.76/140.36 tff(4801,plain,
% 217.76/140.36 (v84(constB75, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4800, 4764])).
% 217.76/140.36 tff(4802,plain,
% 217.76/140.36 (~(v84(constB76, 0) <=> v84(constB75, 0))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4341, 4801, 4701])).
% 217.76/140.36 tff(4803,plain,
% 217.76/140.36 ($false),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4339, 4766, 4802])).
% 217.76/140.36 tff(4804,plain,(v94(constB76) | v84(constB76, 0) | (~v84(constB76, 2))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.36 tff(4805,plain,
% 217.76/140.36 (v84(constB76, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4804, 4623, 4700])).
% 217.76/140.36 tff(4806,assumption,(v84(constB76, 0)), introduced(assumption)).
% 217.76/140.36 tff(4807,plain,
% 217.76/140.36 ((~(v84(constB76, 0) <=> v84(constB75, 0))) | (~v84(constB76, 0)) | v84(constB75, 0)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4808,plain,
% 217.76/140.36 (~(v84(constB76, 0) <=> v84(constB75, 0))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4807, 4616, 4806])).
% 217.76/140.36 tff(4809,plain,
% 217.76/140.36 ($false),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4339, 4768, 4808])).
% 217.76/140.36 tff(4810,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v84(constB75, B)))) | v84(constB75, 0) | (~v84(constB76, 0))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.36 tff(4811,plain,
% 217.76/140.36 ($false),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4810, 4805, 4624, 4616])).
% 217.76/140.36 tff(4812,plain,(v107(constB75) | v84(constB75, 0)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.36 tff(4813,plain,
% 217.76/140.36 (v84(constB75, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4812, 4615])).
% 217.76/140.36 tff(4814,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))), introduced(assumption)).
% 217.76/140.36 tff(4815,plain,
% 217.76/140.36 (v107(constB75) | (~(v108(constB75) | v119(constB75)))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4625, 4704])).
% 217.76/140.36 tff(4816,plain,
% 217.76/140.36 (~(v108(constB75) | v119(constB75))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4815, 4615])).
% 217.76/140.36 tff(4817,assumption,(v84(constB74, 0)), introduced(assumption)).
% 217.76/140.36 tff(4818,assumption,(~(v108(constB75) | v119(constB75))), introduced(assumption)).
% 217.76/140.36 tff(4819,plain,
% 217.76/140.36 ((~v107(constB75)) | (v108(constB75) | v119(constB75))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4253, 4704])).
% 217.76/140.36 tff(4820,plain,
% 217.76/140.36 (~v107(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4819, 4818])).
% 217.76/140.36 tff(4821,plain,
% 217.76/140.36 (v84(constB75, 1)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4797, 4820])).
% 217.76/140.36 tff(4822,plain,
% 217.76/140.36 ((~(v84(constB75, 1) <=> v84(constB74, 1))) | (~v84(constB75, 1)) | v84(constB74, 1)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4823,plain,
% 217.76/140.36 ((~(v84(constB75, 1) <=> v84(constB74, 1))) | v84(constB74, 1)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4822, 4821])).
% 217.76/140.36 tff(4824,plain,
% 217.76/140.36 (v84(constB74, 1)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4823, 3915])).
% 217.76/140.36 tff(4825,plain,
% 217.76/140.36 (~v108(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4627, 4818])).
% 217.76/140.36 tff(4826,plain,
% 217.76/140.36 (~(v109(constB75) | v118(constB75))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4629, 4825, 3865])).
% 217.76/140.36 tff(4827,plain,
% 217.76/140.36 (~v109(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4631, 4826])).
% 217.76/140.36 tff(4828,plain,
% 217.76/140.36 (~(v110(constB75) | v117(constB75))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4633, 4827, 4112])).
% 217.76/140.36 tff(4829,plain,
% 217.76/140.36 (~v110(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4635, 4828])).
% 217.76/140.36 tff(4830,plain,
% 217.76/140.36 (~(v111(constB75) | v116(constB75))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4637, 4829, 4114])).
% 217.76/140.36 tff(4831,plain,
% 217.76/140.36 (~v116(constB75)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4678, 4830])).
% 217.76/140.36 tff(4832,plain,
% 217.76/140.36 ((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4680, 4831, 4121])).
% 217.76/140.36 tff(4833,assumption,(~(v84(constB75, 0) <=> v84(constB74, 0))), introduced(assumption)).
% 217.76/140.36 tff(4834,plain,
% 217.76/140.36 ($false),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4169, 3906, 4833])).
% 217.76/140.36 tff(4835,plain,(v84(constB75, 0) <=> v84(constB74, 0)), inference(lemma,lemma(discharge,[]))).
% 217.76/140.36 tff(4836,plain,
% 217.76/140.36 (v84(constB75, 0) | (~v84(constB74, 0))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4183, 4835])).
% 217.76/140.36 tff(4837,plain,
% 217.76/140.36 (v84(constB75, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4836, 4817])).
% 217.76/140.36 tff(4838,plain,
% 217.76/140.36 ((~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))) | (~v84(constB75, 1)) | v84(constB75, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4682, 4837])).
% 217.76/140.36 tff(4839,plain,
% 217.76/140.36 (v84(constB75, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4838, 4832, 4821])).
% 217.76/140.36 tff(4840,plain,
% 217.76/140.36 ((~(v84(constB75, 2) <=> v84(constB74, 2))) | (~v84(constB75, 2)) | v84(constB74, 2)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4841,plain,
% 217.76/140.36 ((~(v84(constB75, 2) <=> v84(constB74, 2))) | v84(constB74, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4840, 4839])).
% 217.76/140.36 tff(4842,plain,
% 217.76/140.36 (v84(constB74, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4841, 4130])).
% 217.76/140.36 tff(4843,plain,
% 217.76/140.36 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB73) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB73) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B))))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4844,plain,
% 217.76/140.36 ((v105(constB73) | ![B: $int] : ((v121(constB73, B) <=> v124(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB73) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B))))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4845,plain,
% 217.76/140.36 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB73) | ![B: $int] : ((v121(constB73, B) <=> v124(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB73) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[4844])).
% 217.76/140.36 tff(4846,plain,
% 217.76/140.36 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB73) | ![B: $int] : ((v121(constB73, B) <=> v124(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB73) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B))))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4845, 4843])).
% 217.76/140.36 tff(4847,plain,
% 217.76/140.36 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB73) | ![B: $int] : ((v121(constB73, B) <=> v124(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4848,plain,
% 217.76/140.36 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB73) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4847, 4846])).
% 217.76/140.36 tff(4849,plain,
% 217.76/140.36 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4848, 1562, 3929])).
% 217.76/140.36 tff(4850,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 0) <=> v124(constB73, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 0) <=> v124(constB73, 0)))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4851,plain,
% 217.76/140.36 (($false | $false | (v121(constB73, 0) <=> v124(constB73, 0))) <=> (v121(constB73, 0) <=> v124(constB73, 0))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4852,plain,
% 217.76/140.36 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB73, 0) <=> v124(constB73, 0))) <=> ($false | $false | (v121(constB73, 0) <=> v124(constB73, 0)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.36 tff(4853,plain,
% 217.76/140.36 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB73, 0) <=> v124(constB73, 0))) <=> (v121(constB73, 0) <=> v124(constB73, 0))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4852, 4851])).
% 217.76/140.36 tff(4854,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB73, 0) <=> v124(constB73, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 0) <=> v124(constB73, 0)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[4853])).
% 217.76/140.36 tff(4855,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB73, 0) <=> v124(constB73, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 0) <=> v124(constB73, 0)))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4854, 4850])).
% 217.76/140.36 tff(4856,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB73, 0) <=> v124(constB73, 0)))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4857,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 0) <=> v124(constB73, 0))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4856, 4855])).
% 217.76/140.36 tff(4858,plain,
% 217.76/140.36 (v121(constB73, 0) <=> v124(constB73, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4857, 4849])).
% 217.76/140.36 tff(4859,plain,
% 217.76/140.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B))))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4860,plain,
% 217.76/140.36 (((~nextState(constB73, constB74)) | ![B: $int] : ((v123(constB74, B) <=> v121(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B))))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4861,plain,
% 217.76/140.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB73, constB74)) | ![B: $int] : ((v123(constB74, B) <=> v121(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[4860])).
% 217.76/140.36 tff(4862,plain,
% 217.76/140.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB73, constB74)) | ![B: $int] : ((v123(constB74, B) <=> v121(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B))))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4861, 4859])).
% 217.76/140.36 tff(4863,plain,
% 217.76/140.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB73, constB74)) | ![B: $int] : ((v123(constB74, B) <=> v121(constB73, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4864,plain,
% 217.76/140.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB73, constB74)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4863, 4862])).
% 217.76/140.36 tff(4865,plain,
% 217.76/140.36 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4864, 3940, 1527])).
% 217.76/140.36 tff(4866,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 0) <=> v121(constB73, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 0) <=> v121(constB73, 0)))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4867,plain,
% 217.76/140.36 (($false | $false | (v123(constB74, 0) <=> v121(constB73, 0))) <=> (v123(constB74, 0) <=> v121(constB73, 0))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4868,plain,
% 217.76/140.36 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB74, 0) <=> v121(constB73, 0))) <=> ($false | $false | (v123(constB74, 0) <=> v121(constB73, 0)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.36 tff(4869,plain,
% 217.76/140.36 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB74, 0) <=> v121(constB73, 0))) <=> (v123(constB74, 0) <=> v121(constB73, 0))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4868, 4867])).
% 217.76/140.36 tff(4870,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB74, 0) <=> v121(constB73, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 0) <=> v121(constB73, 0)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[4869])).
% 217.76/140.36 tff(4871,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB74, 0) <=> v121(constB73, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 0) <=> v121(constB73, 0)))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4870, 4866])).
% 217.76/140.36 tff(4872,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB74, 0) <=> v121(constB73, 0)))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4873,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 0) <=> v121(constB73, 0))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4872, 4871])).
% 217.76/140.36 tff(4874,plain,
% 217.76/140.36 (v123(constB74, 0) <=> v121(constB73, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4873, 4865])).
% 217.76/140.36 tff(4875,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 0) <=> v123(constB74, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 0) <=> v123(constB74, 0)))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4876,plain,
% 217.76/140.36 (($false | $false | (v84(constB74, 0) <=> v123(constB74, 0))) <=> (v84(constB74, 0) <=> v123(constB74, 0))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4877,plain,
% 217.76/140.36 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB74, 0) <=> v123(constB74, 0))) <=> ($false | $false | (v84(constB74, 0) <=> v123(constB74, 0)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.36 tff(4878,plain,
% 217.76/140.36 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB74, 0) <=> v123(constB74, 0))) <=> (v84(constB74, 0) <=> v123(constB74, 0))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4877, 4876])).
% 217.76/140.36 tff(4879,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB74, 0) <=> v123(constB74, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 0) <=> v123(constB74, 0)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[4878])).
% 217.76/140.36 tff(4880,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB74, 0) <=> v123(constB74, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 0) <=> v123(constB74, 0)))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4879, 4875])).
% 217.76/140.36 tff(4881,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB74, 0) <=> v123(constB74, 0)))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4882,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 0) <=> v123(constB74, 0))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4881, 4880])).
% 217.76/140.36 tff(4883,plain,
% 217.76/140.36 (v84(constB74, 0) <=> v123(constB74, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4882, 4814])).
% 217.76/140.36 tff(4884,plain,
% 217.76/140.36 ((~(v84(constB74, 0) <=> v123(constB74, 0))) | (~v84(constB74, 0)) | v123(constB74, 0)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4885,plain,
% 217.76/140.36 ((~(v84(constB74, 0) <=> v123(constB74, 0))) | v123(constB74, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4884, 4817])).
% 217.76/140.36 tff(4886,plain,
% 217.76/140.36 (v123(constB74, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4885, 4883])).
% 217.76/140.36 tff(4887,plain,
% 217.76/140.36 ((~(v123(constB74, 0) <=> v121(constB73, 0))) | (~v123(constB74, 0)) | v121(constB73, 0)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4888,plain,
% 217.76/140.36 ((~(v123(constB74, 0) <=> v121(constB73, 0))) | v121(constB73, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4887, 4886])).
% 217.76/140.36 tff(4889,plain,
% 217.76/140.36 (v121(constB73, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4888, 4874])).
% 217.76/140.36 tff(4890,plain,
% 217.76/140.36 ((~(v121(constB73, 0) <=> v124(constB73, 0))) | (~v121(constB73, 0)) | v124(constB73, 0)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4891,plain,
% 217.76/140.36 ((~(v121(constB73, 0) <=> v124(constB73, 0))) | v124(constB73, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4890, 4889])).
% 217.76/140.36 tff(4892,plain,
% 217.76/140.36 (v124(constB73, 0)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4891, 4858])).
% 217.76/140.36 tff(4893,plain,
% 217.76/140.36 ((~(v124(constB73, 0) <=> b110(0))) | (~v124(constB73, 0)) | b110(0)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4894,plain,
% 217.76/140.36 (~(v124(constB73, 0) <=> b110(0))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4893, 3186, 4892])).
% 217.76/140.36 tff(4895,assumption,(v124(constB73, 0)), introduced(assumption)).
% 217.76/140.36 tff(4896,plain,
% 217.76/140.36 ((~(v124(constB73, 0) <=> b010(0))) | (~v124(constB73, 0)) | b010(0)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4897,plain,
% 217.76/140.36 (~(v124(constB73, 0) <=> b010(0))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4896, 2437, 4895])).
% 217.76/140.36 tff(4898,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))), introduced(assumption)).
% 217.76/140.36 tff(4899,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 0) <=> b010(0)))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4900,plain,
% 217.76/140.36 (($false | $false | (v124(constB73, 0) <=> b010(0))) <=> (v124(constB73, 0) <=> b010(0))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4901,plain,
% 217.76/140.36 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b010(0))) <=> ($false | $false | (v124(constB73, 0) <=> b010(0)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.36 tff(4902,plain,
% 217.76/140.36 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b010(0))) <=> (v124(constB73, 0) <=> b010(0))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4901, 4900])).
% 217.76/140.36 tff(4903,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 0) <=> b010(0)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[4902])).
% 217.76/140.36 tff(4904,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 0) <=> b010(0)))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4903, 4899])).
% 217.76/140.36 tff(4905,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b010(0)))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4906,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 0) <=> b010(0))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4905, 4904])).
% 217.76/140.36 tff(4907,plain,
% 217.76/140.36 ($false),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4906, 4898, 4897])).
% 217.76/140.36 tff(4908,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (~v124(constB73, 0))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.36 tff(4909,plain,
% 217.76/140.36 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4908, 4892])).
% 217.76/140.36 tff(4910,plain,
% 217.76/140.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B))))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4911,plain,
% 217.76/140.36 (((~v114(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B))))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4912,plain,
% 217.76/140.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[4911])).
% 217.76/140.36 tff(4913,plain,
% 217.76/140.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B))))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4912, 4910])).
% 217.76/140.36 tff(4914,plain,
% 217.76/140.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4915,plain,
% 217.76/140.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4914, 4913])).
% 217.76/140.36 tff(4916,plain,
% 217.76/140.36 ((~v114(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4915, 2418])).
% 217.76/140.36 tff(4917,plain,
% 217.76/140.36 (~v114(constB73)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4916, 4909])).
% 217.76/140.36 tff(4918,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 2) <=> v124(constB73, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 2) <=> v124(constB73, 2)))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4919,plain,
% 217.76/140.36 (($false | $false | (v121(constB73, 2) <=> v124(constB73, 2))) <=> (v121(constB73, 2) <=> v124(constB73, 2))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4920,plain,
% 217.76/140.36 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB73, 2) <=> v124(constB73, 2))) <=> ($false | $false | (v121(constB73, 2) <=> v124(constB73, 2)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.36 tff(4921,plain,
% 217.76/140.36 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB73, 2) <=> v124(constB73, 2))) <=> (v121(constB73, 2) <=> v124(constB73, 2))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4920, 4919])).
% 217.76/140.36 tff(4922,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB73, 2) <=> v124(constB73, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 2) <=> v124(constB73, 2)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[4921])).
% 217.76/140.36 tff(4923,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB73, 2) <=> v124(constB73, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 2) <=> v124(constB73, 2)))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4922, 4918])).
% 217.76/140.36 tff(4924,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB73, 2) <=> v124(constB73, 2)))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4925,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 2) <=> v124(constB73, 2))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4924, 4923])).
% 217.76/140.36 tff(4926,plain,
% 217.76/140.36 (v121(constB73, 2) <=> v124(constB73, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4925, 4849])).
% 217.76/140.36 tff(4927,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 2) <=> v121(constB73, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 2) <=> v121(constB73, 2)))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4928,plain,
% 217.76/140.36 (($false | $false | (v123(constB74, 2) <=> v121(constB73, 2))) <=> (v123(constB74, 2) <=> v121(constB73, 2))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4929,plain,
% 217.76/140.36 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB74, 2) <=> v121(constB73, 2))) <=> ($false | $false | (v123(constB74, 2) <=> v121(constB73, 2)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.36 tff(4930,plain,
% 217.76/140.36 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB74, 2) <=> v121(constB73, 2))) <=> (v123(constB74, 2) <=> v121(constB73, 2))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4929, 4928])).
% 217.76/140.36 tff(4931,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB74, 2) <=> v121(constB73, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 2) <=> v121(constB73, 2)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[4930])).
% 217.76/140.36 tff(4932,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB74, 2) <=> v121(constB73, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 2) <=> v121(constB73, 2)))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4931, 4927])).
% 217.76/140.36 tff(4933,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB74, 2) <=> v121(constB73, 2)))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4934,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 2) <=> v121(constB73, 2))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4933, 4932])).
% 217.76/140.36 tff(4935,plain,
% 217.76/140.36 (v123(constB74, 2) <=> v121(constB73, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4934, 4865])).
% 217.76/140.36 tff(4936,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 2) <=> v123(constB74, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 2) <=> v123(constB74, 2)))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4937,plain,
% 217.76/140.36 (($false | $false | (v84(constB74, 2) <=> v123(constB74, 2))) <=> (v84(constB74, 2) <=> v123(constB74, 2))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4938,plain,
% 217.76/140.36 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB74, 2) <=> v123(constB74, 2))) <=> ($false | $false | (v84(constB74, 2) <=> v123(constB74, 2)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.36 tff(4939,plain,
% 217.76/140.36 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB74, 2) <=> v123(constB74, 2))) <=> (v84(constB74, 2) <=> v123(constB74, 2))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4938, 4937])).
% 217.76/140.36 tff(4940,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB74, 2) <=> v123(constB74, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 2) <=> v123(constB74, 2)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[4939])).
% 217.76/140.36 tff(4941,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB74, 2) <=> v123(constB74, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 2) <=> v123(constB74, 2)))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4940, 4936])).
% 217.76/140.36 tff(4942,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB74, 2) <=> v123(constB74, 2)))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4943,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 2) <=> v123(constB74, 2))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 217.76/140.36 tff(4944,plain,
% 217.76/140.36 (v84(constB74, 2) <=> v123(constB74, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4943, 4814])).
% 217.76/140.36 tff(4945,assumption,(v84(constB74, 2)), introduced(assumption)).
% 217.76/140.36 tff(4946,plain,
% 217.76/140.36 ((~(v84(constB74, 2) <=> v123(constB74, 2))) | (~v84(constB74, 2)) | v123(constB74, 2)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4947,plain,
% 217.76/140.36 ((~(v84(constB74, 2) <=> v123(constB74, 2))) | v123(constB74, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4946, 4945])).
% 217.76/140.36 tff(4948,plain,
% 217.76/140.36 (v123(constB74, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4947, 4944])).
% 217.76/140.36 tff(4949,plain,
% 217.76/140.36 ((~(v123(constB74, 2) <=> v121(constB73, 2))) | (~v123(constB74, 2)) | v121(constB73, 2)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4950,plain,
% 217.76/140.36 ((~(v123(constB74, 2) <=> v121(constB73, 2))) | v121(constB73, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4949, 4948])).
% 217.76/140.36 tff(4951,plain,
% 217.76/140.36 (v121(constB73, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4950, 4935])).
% 217.76/140.36 tff(4952,plain,
% 217.76/140.36 ((~(v121(constB73, 2) <=> v124(constB73, 2))) | (~v121(constB73, 2)) | v124(constB73, 2)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4953,plain,
% 217.76/140.36 ((~(v121(constB73, 2) <=> v124(constB73, 2))) | v124(constB73, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4952, 4951])).
% 217.76/140.36 tff(4954,plain,
% 217.76/140.36 (v124(constB73, 2)),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4953, 4926])).
% 217.76/140.36 tff(4955,assumption,(v124(constB73, 2)), introduced(assumption)).
% 217.76/140.36 tff(4956,plain,
% 217.76/140.36 ((~(v124(constB73, 2) <=> b011(2))) | (~v124(constB73, 2)) | b011(2)),
% 217.76/140.36 inference(tautology,[status(thm)],[])).
% 217.76/140.36 tff(4957,plain,
% 217.76/140.36 (~(v124(constB73, 2) <=> b011(2))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4956, 2569, 4955])).
% 217.76/140.36 tff(4958,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))), introduced(assumption)).
% 217.76/140.36 tff(4959,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 2) <=> b011(2)))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4960,plain,
% 217.76/140.36 (($false | $false | (v124(constB73, 2) <=> b011(2))) <=> (v124(constB73, 2) <=> b011(2))),
% 217.76/140.36 inference(rewrite,[status(thm)],[])).
% 217.76/140.36 tff(4961,plain,
% 217.76/140.36 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b011(2))) <=> ($false | $false | (v124(constB73, 2) <=> b011(2)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.36 tff(4962,plain,
% 217.76/140.36 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b011(2))) <=> (v124(constB73, 2) <=> b011(2))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4961, 4960])).
% 217.76/140.36 tff(4963,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 2) <=> b011(2)))),
% 217.76/140.36 inference(monotonicity,[status(thm)],[4962])).
% 217.76/140.36 tff(4964,plain,
% 217.76/140.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 2) <=> b011(2)))),
% 217.76/140.36 inference(transitivity,[status(thm)],[4963, 4959])).
% 217.76/140.36 tff(4965,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b011(2)))),
% 217.76/140.36 inference(quant_inst,[status(thm)],[])).
% 217.76/140.36 tff(4966,plain,
% 217.76/140.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 2) <=> b011(2))),
% 217.76/140.36 inference(modus_ponens,[status(thm)],[4965, 4964])).
% 217.76/140.36 tff(4967,plain,
% 217.76/140.36 ($false),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4966, 4958, 4957])).
% 217.76/140.36 tff(4968,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (~v124(constB73, 2))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.36 tff(4969,plain,
% 217.76/140.36 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))),
% 217.76/140.36 inference(unit_resolution,[status(thm)],[4968, 4954])).
% 217.76/140.36 tff(4970,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))), introduced(assumption)).
% 217.76/140.37 tff(4971,assumption,(v115(constB73)), introduced(assumption)).
% 217.76/140.37 tff(4972,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(4973,plain,
% 217.76/140.37 (((~v115(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(4974,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[4973])).
% 217.76/140.37 tff(4975,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B))))),
% 217.76/140.37 inference(transitivity,[status(thm)],[4974, 4972])).
% 217.76/140.37 tff(4976,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(4977,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[4976, 4975])).
% 217.76/140.37 tff(4978,plain,
% 217.76/140.37 ($false),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[4977, 2144, 4971, 4970])).
% 217.76/140.37 tff(4979,plain,((~v115(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.37 tff(4980,plain,
% 217.76/140.37 (~v115(constB73)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[4979, 4969])).
% 217.76/140.37 tff(4981,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 1) <=> v124(constB73, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 1) <=> v124(constB73, 1)))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(4982,plain,
% 217.76/140.37 (($false | $false | (v121(constB73, 1) <=> v124(constB73, 1))) <=> (v121(constB73, 1) <=> v124(constB73, 1))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(4983,plain,
% 217.76/140.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB73, 1) <=> v124(constB73, 1))) <=> ($false | $false | (v121(constB73, 1) <=> v124(constB73, 1)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.37 tff(4984,plain,
% 217.76/140.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB73, 1) <=> v124(constB73, 1))) <=> (v121(constB73, 1) <=> v124(constB73, 1))),
% 217.76/140.37 inference(transitivity,[status(thm)],[4983, 4982])).
% 217.76/140.37 tff(4985,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB73, 1) <=> v124(constB73, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 1) <=> v124(constB73, 1)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[4984])).
% 217.76/140.37 tff(4986,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB73, 1) <=> v124(constB73, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 1) <=> v124(constB73, 1)))),
% 217.76/140.37 inference(transitivity,[status(thm)],[4985, 4981])).
% 217.76/140.37 tff(4987,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB73, 1) <=> v124(constB73, 1)))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(4988,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB73, B) <=> v124(constB73, B)))) | (v121(constB73, 1) <=> v124(constB73, 1))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[4987, 4986])).
% 217.76/140.37 tff(4989,plain,
% 217.76/140.37 (v121(constB73, 1) <=> v124(constB73, 1)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[4988, 4849])).
% 217.76/140.37 tff(4990,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 1) <=> v121(constB73, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 1) <=> v121(constB73, 1)))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(4991,plain,
% 217.76/140.37 (($false | $false | (v123(constB74, 1) <=> v121(constB73, 1))) <=> (v123(constB74, 1) <=> v121(constB73, 1))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(4992,plain,
% 217.76/140.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB74, 1) <=> v121(constB73, 1))) <=> ($false | $false | (v123(constB74, 1) <=> v121(constB73, 1)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.37 tff(4993,plain,
% 217.76/140.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB74, 1) <=> v121(constB73, 1))) <=> (v123(constB74, 1) <=> v121(constB73, 1))),
% 217.76/140.37 inference(transitivity,[status(thm)],[4992, 4991])).
% 217.76/140.37 tff(4994,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB74, 1) <=> v121(constB73, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 1) <=> v121(constB73, 1)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[4993])).
% 217.76/140.37 tff(4995,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB74, 1) <=> v121(constB73, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 1) <=> v121(constB73, 1)))),
% 217.76/140.37 inference(transitivity,[status(thm)],[4994, 4990])).
% 217.76/140.37 tff(4996,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB74, 1) <=> v121(constB73, 1)))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(4997,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB74, B) <=> v121(constB73, B)))) | (v123(constB74, 1) <=> v121(constB73, 1))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[4996, 4995])).
% 217.76/140.37 tff(4998,plain,
% 217.76/140.37 (v123(constB74, 1) <=> v121(constB73, 1)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[4997, 4865])).
% 217.76/140.37 tff(4999,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 1) <=> v123(constB74, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 1) <=> v123(constB74, 1)))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5000,plain,
% 217.76/140.37 (($false | $false | (v84(constB74, 1) <=> v123(constB74, 1))) <=> (v84(constB74, 1) <=> v123(constB74, 1))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5001,plain,
% 217.76/140.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB74, 1) <=> v123(constB74, 1))) <=> ($false | $false | (v84(constB74, 1) <=> v123(constB74, 1)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.37 tff(5002,plain,
% 217.76/140.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB74, 1) <=> v123(constB74, 1))) <=> (v84(constB74, 1) <=> v123(constB74, 1))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5001, 5000])).
% 217.76/140.37 tff(5003,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB74, 1) <=> v123(constB74, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 1) <=> v123(constB74, 1)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5002])).
% 217.76/140.37 tff(5004,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB74, 1) <=> v123(constB74, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 1) <=> v123(constB74, 1)))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5003, 4999])).
% 217.76/140.37 tff(5005,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB74, 1) <=> v123(constB74, 1)))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5006,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (v84(constB74, 1) <=> v123(constB74, 1))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5005, 5004])).
% 217.76/140.37 tff(5007,plain,
% 217.76/140.37 (v84(constB74, 1) <=> v123(constB74, 1)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5006, 4814])).
% 217.76/140.37 tff(5008,assumption,(v84(constB74, 1)), introduced(assumption)).
% 217.76/140.37 tff(5009,plain,
% 217.76/140.37 ((~(v84(constB74, 1) <=> v123(constB74, 1))) | (~v84(constB74, 1)) | v123(constB74, 1)),
% 217.76/140.37 inference(tautology,[status(thm)],[])).
% 217.76/140.37 tff(5010,plain,
% 217.76/140.37 ((~(v84(constB74, 1) <=> v123(constB74, 1))) | v123(constB74, 1)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5009, 5008])).
% 217.76/140.37 tff(5011,plain,
% 217.76/140.37 (v123(constB74, 1)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5010, 5007])).
% 217.76/140.37 tff(5012,plain,
% 217.76/140.37 ((~(v123(constB74, 1) <=> v121(constB73, 1))) | (~v123(constB74, 1)) | v121(constB73, 1)),
% 217.76/140.37 inference(tautology,[status(thm)],[])).
% 217.76/140.37 tff(5013,plain,
% 217.76/140.37 ((~(v123(constB74, 1) <=> v121(constB73, 1))) | v121(constB73, 1)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5012, 5011])).
% 217.76/140.37 tff(5014,plain,
% 217.76/140.37 (v121(constB73, 1)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5013, 4998])).
% 217.76/140.37 tff(5015,plain,
% 217.76/140.37 ((~(v121(constB73, 1) <=> v124(constB73, 1))) | (~v121(constB73, 1)) | v124(constB73, 1)),
% 217.76/140.37 inference(tautology,[status(thm)],[])).
% 217.76/140.37 tff(5016,plain,
% 217.76/140.37 ((~(v121(constB73, 1) <=> v124(constB73, 1))) | v124(constB73, 1)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5015, 5014])).
% 217.76/140.37 tff(5017,plain,
% 217.76/140.37 (v124(constB73, 1)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5016, 4989])).
% 217.76/140.37 tff(5018,assumption,(v124(constB73, 1)), introduced(assumption)).
% 217.76/140.37 tff(5019,plain,
% 217.76/140.37 ((~(v124(constB73, 1) <=> b101(1))) | (~v124(constB73, 1)) | b101(1)),
% 217.76/140.37 inference(tautology,[status(thm)],[])).
% 217.76/140.37 tff(5020,plain,
% 217.76/140.37 (~(v124(constB73, 1) <=> b101(1))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5019, 2330, 5018])).
% 217.76/140.37 tff(5021,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))), introduced(assumption)).
% 217.76/140.37 tff(5022,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 1) <=> b101(1)))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5023,plain,
% 217.76/140.37 (($false | $false | (v124(constB73, 1) <=> b101(1))) <=> (v124(constB73, 1) <=> b101(1))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5024,plain,
% 217.76/140.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b101(1))) <=> ($false | $false | (v124(constB73, 1) <=> b101(1)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.37 tff(5025,plain,
% 217.76/140.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b101(1))) <=> (v124(constB73, 1) <=> b101(1))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5024, 5023])).
% 217.76/140.37 tff(5026,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 1) <=> b101(1)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5025])).
% 217.76/140.37 tff(5027,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 1) <=> b101(1)))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5026, 5022])).
% 217.76/140.37 tff(5028,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b101(1)))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5029,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 1) <=> b101(1))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5028, 5027])).
% 217.76/140.37 tff(5030,plain,
% 217.76/140.37 ($false),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5029, 5021, 5020])).
% 217.76/140.37 tff(5031,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (~v124(constB73, 1))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.37 tff(5032,plain,
% 217.76/140.37 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5031, 5017])).
% 217.76/140.37 tff(5033,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))), introduced(assumption)).
% 217.76/140.37 tff(5034,assumption,(v117(constB73)), introduced(assumption)).
% 217.76/140.37 tff(5035,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5036,plain,
% 217.76/140.37 (((~v117(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5037,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5036])).
% 217.76/140.37 tff(5038,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B))))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5037, 5035])).
% 217.76/140.37 tff(5039,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5040,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5039, 5038])).
% 217.76/140.37 tff(5041,plain,
% 217.76/140.37 ($false),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5040, 2090, 5034, 5033])).
% 217.76/140.37 tff(5042,plain,((~v117(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.37 tff(5043,plain,
% 217.76/140.37 (~v117(constB73)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5042, 5032])).
% 217.76/140.37 tff(5044,plain,
% 217.76/140.37 ((~(v124(constB73, 0) <=> b100(0))) | (~v124(constB73, 0)) | b100(0)),
% 217.76/140.37 inference(tautology,[status(thm)],[])).
% 217.76/140.37 tff(5045,plain,
% 217.76/140.37 (~(v124(constB73, 0) <=> b100(0))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5044, 3674, 4895])).
% 217.76/140.37 tff(5046,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))), introduced(assumption)).
% 217.76/140.37 tff(5047,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 0) <=> b100(0)))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5048,plain,
% 217.76/140.37 (($false | $false | (v124(constB73, 0) <=> b100(0))) <=> (v124(constB73, 0) <=> b100(0))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5049,plain,
% 217.76/140.37 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b100(0))) <=> ($false | $false | (v124(constB73, 0) <=> b100(0)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.37 tff(5050,plain,
% 217.76/140.37 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b100(0))) <=> (v124(constB73, 0) <=> b100(0))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5049, 5048])).
% 217.76/140.37 tff(5051,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 0) <=> b100(0)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5050])).
% 217.76/140.37 tff(5052,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 0) <=> b100(0)))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5051, 5047])).
% 217.76/140.37 tff(5053,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b100(0)))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5054,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 0) <=> b100(0))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5053, 5052])).
% 217.76/140.37 tff(5055,plain,
% 217.76/140.37 ($false),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5054, 5046, 5045])).
% 217.76/140.37 tff(5056,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (~v124(constB73, 0))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.37 tff(5057,plain,
% 217.76/140.37 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5056, 4892])).
% 217.76/140.37 tff(5058,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5059,plain,
% 217.76/140.37 (((~v116(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5060,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5059])).
% 217.76/140.37 tff(5061,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B))))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5060, 5058])).
% 217.76/140.37 tff(5062,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5063,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5062, 5061])).
% 217.76/140.37 tff(5064,plain,
% 217.76/140.37 ((~v116(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5063, 2230])).
% 217.76/140.37 tff(5065,plain,
% 217.76/140.37 (~v116(constB73)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5064, 5057])).
% 217.76/140.37 tff(5066,plain,
% 217.76/140.37 ((~(v124(constB73, 1) <=> b001(1))) | (~v124(constB73, 1)) | b001(1)),
% 217.76/140.37 inference(tautology,[status(thm)],[])).
% 217.76/140.37 tff(5067,plain,
% 217.76/140.37 (~(v124(constB73, 1) <=> b001(1))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5066, 1885, 5018])).
% 217.76/140.37 tff(5068,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))), introduced(assumption)).
% 217.76/140.37 tff(5069,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | (v124(constB73, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | (v124(constB73, 1) <=> b001(1)))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5070,plain,
% 217.76/140.37 (($false | $false | (v124(constB73, 1) <=> b001(1))) <=> (v124(constB73, 1) <=> b001(1))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5071,plain,
% 217.76/140.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b001(1))) <=> ($false | $false | (v124(constB73, 1) <=> b001(1)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[402, 401])).
% 217.76/140.37 tff(5072,plain,
% 217.76/140.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b001(1))) <=> (v124(constB73, 1) <=> b001(1))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5071, 5070])).
% 217.76/140.37 tff(5073,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | (v124(constB73, 1) <=> b001(1)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5072])).
% 217.76/140.37 tff(5074,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | (v124(constB73, 1) <=> b001(1)))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5073, 5069])).
% 217.76/140.37 tff(5075,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b001(1)))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5076,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | (v124(constB73, 1) <=> b001(1))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5075, 5074])).
% 217.76/140.37 tff(5077,plain,
% 217.76/140.37 ($false),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5076, 5068, 5067])).
% 217.76/140.37 tff(5078,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | (~v124(constB73, 1))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.37 tff(5079,plain,
% 217.76/140.37 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5078, 5017])).
% 217.76/140.37 tff(5080,assumption,(v113(constB73)), introduced(assumption)).
% 217.76/140.37 tff(5081,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))), introduced(assumption)).
% 217.76/140.37 tff(5082,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5083,plain,
% 217.76/140.37 (((~v113(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5084,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5083])).
% 217.76/140.37 tff(5085,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5084, 5082])).
% 217.76/140.37 tff(5086,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5087,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5086, 5085])).
% 217.76/140.37 tff(5088,plain,
% 217.76/140.37 ($false),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5087, 2117, 5081, 5080])).
% 217.76/140.37 tff(5089,plain,((~v113(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.37 tff(5090,plain,
% 217.76/140.37 (~v113(constB73)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5089, 5079])).
% 217.76/140.37 tff(5091,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))) | v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))) | v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5092,plain,
% 217.76/140.37 ((v118(constB73) | v117(constB73) | v116(constB73) | v115(constB73) | v114(constB73) | v113(constB73) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))) | v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5093,plain,
% 217.76/140.37 (^[B: $int] : rewrite(((v124(constB73, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))))),
% 217.76/140.37 inference(bind,[status(th)],[])).
% 217.76/140.37 tff(5094,plain,
% 217.76/140.37 (![B: $int] : ((v124(constB73, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))),
% 217.76/140.37 inference(quant_intro,[status(thm)],[5093])).
% 217.76/140.37 tff(5095,plain,
% 217.76/140.37 ((v118(constB73) | v117(constB73) | v116(constB73) | v115(constB73) | v114(constB73) | v113(constB73) | ![B: $int] : ((v124(constB73, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB73) | v117(constB73) | v116(constB73) | v115(constB73) | v114(constB73) | v113(constB73) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5094])).
% 217.76/140.37 tff(5096,plain,
% 217.76/140.37 ((v118(constB73) | v117(constB73) | v116(constB73) | v115(constB73) | v114(constB73) | v113(constB73) | ![B: $int] : ((v124(constB73, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))) | v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5095, 5092])).
% 217.76/140.37 tff(5097,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB73) | v117(constB73) | v116(constB73) | v115(constB73) | v114(constB73) | v113(constB73) | ![B: $int] : ((v124(constB73, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))) | v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5096])).
% 217.76/140.37 tff(5098,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB73) | v117(constB73) | v116(constB73) | v115(constB73) | v114(constB73) | v113(constB73) | ![B: $int] : ((v124(constB73, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))) | v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5097, 5091])).
% 217.76/140.37 tff(5099,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB73) | v117(constB73) | v116(constB73) | v115(constB73) | v114(constB73) | v113(constB73) | ![B: $int] : ((v124(constB73, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5100,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))) | v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73)),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5099, 5098])).
% 217.76/140.37 tff(5101,plain,
% 217.76/140.37 (v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5100, 1807, 5079, 5090])).
% 217.76/140.37 tff(5102,plain,
% 217.76/140.37 (v118(constB73)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5101, 5065, 5043, 4980, 4917])).
% 217.76/140.37 tff(5103,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5104,plain,
% 217.76/140.37 (((~v118(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5105,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5104])).
% 217.76/140.37 tff(5106,plain,
% 217.76/140.37 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B))))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5105, 5103])).
% 217.76/140.37 tff(5107,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB73)) | ![B: $int] : ((v124(constB73, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5108,plain,
% 217.76/140.37 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5107, 5106])).
% 217.76/140.37 tff(5109,plain,
% 217.76/140.37 ((~v118(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5108, 1977])).
% 217.76/140.37 tff(5110,plain,
% 217.76/140.37 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5109, 5102])).
% 217.76/140.37 tff(5111,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 0) <=> b110(0)))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5112,plain,
% 217.76/140.37 (($false | $false | (v124(constB73, 0) <=> b110(0))) <=> (v124(constB73, 0) <=> b110(0))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5113,plain,
% 217.76/140.37 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b110(0))) <=> ($false | $false | (v124(constB73, 0) <=> b110(0)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.37 tff(5114,plain,
% 217.76/140.37 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b110(0))) <=> (v124(constB73, 0) <=> b110(0))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5113, 5112])).
% 217.76/140.37 tff(5115,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 0) <=> b110(0)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5114])).
% 217.76/140.37 tff(5116,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 0) <=> b110(0)))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5115, 5111])).
% 217.76/140.37 tff(5117,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b110(0)))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5118,plain,
% 217.76/140.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 0) <=> b110(0))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5117, 5116])).
% 217.76/140.37 tff(5119,plain,
% 217.76/140.37 ($false),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5118, 5110, 4894])).
% 217.76/140.37 tff(5120,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~v84(constB74, 2)) | (~v84(constB74, 1)) | (~v84(constB74, 0))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.37 tff(5121,plain,
% 217.76/140.37 ($false),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5120, 4842, 4824, 4814, 4817])).
% 217.76/140.37 tff(5122,plain,((v108(constB75) | v119(constB75)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~v84(constB74, 0))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.37 tff(5123,plain,
% 217.76/140.37 (~v84(constB74, 0)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5122, 4816, 4814])).
% 217.76/140.37 tff(5124,plain,
% 217.76/140.37 ((~(v84(constB75, 0) <=> v84(constB74, 0))) | (~v84(constB75, 0)) | v84(constB74, 0)),
% 217.76/140.37 inference(tautology,[status(thm)],[])).
% 217.76/140.37 tff(5125,plain,
% 217.76/140.37 ((~v84(constB75, 0)) | v84(constB74, 0)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5124, 4835])).
% 217.76/140.37 tff(5126,plain,
% 217.76/140.37 ($false),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5125, 5123, 4813])).
% 217.76/140.37 tff(5127,plain,(v107(constB75) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.37 tff(5128,plain,
% 217.76/140.37 (v107(constB75)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5127, 4614])).
% 217.76/140.37 tff(5129,plain,
% 217.76/140.37 (v108(constB75) | v119(constB75)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[4819, 5128])).
% 217.76/140.37 tff(5130,assumption,(v108(constB75) | v119(constB75)), introduced(assumption)).
% 217.76/140.37 tff(5131,plain,
% 217.76/140.37 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5132,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72')).
% 217.76/140.37 tff(5133,plain,
% 217.76/140.37 (nextState(constB72, constB73)),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5132, 5131])).
% 217.76/140.37 tff(5134,plain,
% 217.76/140.37 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73))))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5135,plain,
% 217.76/140.37 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73))))))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5136,plain,
% 217.76/140.37 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73)))))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 217.76/140.37 tff(5137,plain,
% 217.76/140.37 (v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73))))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5136, 5133, 14])).
% 217.76/140.37 tff(5138,plain,
% 217.76/140.37 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5139,plain,
% 217.76/140.37 (((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73)))))) <=> ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5140,plain,
% 217.76/140.37 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5139])).
% 217.76/140.37 tff(5141,plain,
% 217.76/140.37 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5140, 5138])).
% 217.76/140.37 tff(5142,plain,
% 217.76/140.37 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73))))))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5143,plain,
% 217.76/140.37 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5142, 5141])).
% 217.76/140.37 tff(5144,plain,
% 217.76/140.37 (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5143, 5133, 37])).
% 217.76/140.37 tff(5145,plain,
% 217.76/140.37 (((~v1(constB73)) | (~v96(constB73))) | v1(constB73)),
% 217.76/140.37 inference(tautology,[status(thm)],[])).
% 217.76/140.37 tff(5146,plain,
% 217.76/140.37 ((~v1(constB73)) | (~v96(constB73))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5145, 4587])).
% 217.76/140.37 tff(5147,plain,
% 217.76/140.37 ((~(v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))) | (~v95(constB73)) | (~((~v1(constB73)) | (~v96(constB73))))),
% 217.76/140.37 inference(tautology,[status(thm)],[])).
% 217.76/140.37 tff(5148,plain,
% 217.76/140.37 ((~(v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))) | (~v95(constB73))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5147, 5146])).
% 217.76/140.37 tff(5149,plain,
% 217.76/140.37 (~v95(constB73)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5148, 5144])).
% 217.76/140.37 tff(5150,plain,
% 217.76/140.37 (((~v95(constB73)) | (~v104(constB73))) | v95(constB73)),
% 217.76/140.37 inference(tautology,[status(thm)],[])).
% 217.76/140.37 tff(5151,plain,
% 217.76/140.37 ((~v95(constB73)) | (~v104(constB73))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5150, 5149])).
% 217.76/140.37 tff(5152,plain,
% 217.76/140.37 ((~(v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73)))))) | (~v94(constB73)) | (~((~v95(constB73)) | (~v104(constB73))))),
% 217.76/140.37 inference(tautology,[status(thm)],[])).
% 217.76/140.37 tff(5153,plain,
% 217.76/140.37 (~v94(constB73)),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5152, 5151, 5137])).
% 217.76/140.37 tff(5154,plain,
% 217.76/140.37 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB73) | (~nextState(constB72, constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB73) | (~nextState(constB72, constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5155,plain,
% 217.76/140.37 ((v94(constB73) | (~nextState(constB72, constB73)) | ![B: $int] : ((v84(constB73, B) <=> v84(constB72, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB73) | (~nextState(constB72, constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B))))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5156,plain,
% 217.76/140.37 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB73) | (~nextState(constB72, constB73)) | ![B: $int] : ((v84(constB73, B) <=> v84(constB72, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB73) | (~nextState(constB72, constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5155])).
% 217.76/140.37 tff(5157,plain,
% 217.76/140.37 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB73) | (~nextState(constB72, constB73)) | ![B: $int] : ((v84(constB73, B) <=> v84(constB72, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB73) | (~nextState(constB72, constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B))))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5156, 5154])).
% 217.76/140.37 tff(5158,plain,
% 217.76/140.37 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB73) | (~nextState(constB72, constB73)) | ![B: $int] : ((v84(constB73, B) <=> v84(constB72, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.37 inference(quant_inst,[status(thm)],[])).
% 217.76/140.37 tff(5159,plain,
% 217.76/140.37 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB73) | (~nextState(constB72, constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))),
% 217.76/140.37 inference(modus_ponens,[status(thm)],[5158, 5157])).
% 217.76/140.37 tff(5160,plain,
% 217.76/140.37 (v94(constB73) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5159, 5133, 235])).
% 217.76/140.37 tff(5161,plain,
% 217.76/140.37 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))),
% 217.76/140.37 inference(unit_resolution,[status(thm)],[5160, 5153])).
% 217.76/140.37 tff(5162,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 0) <=> v84(constB72, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 0) <=> v84(constB72, 0)))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5163,plain,
% 217.76/140.37 (($false | $false | (v84(constB73, 0) <=> v84(constB72, 0))) <=> (v84(constB73, 0) <=> v84(constB72, 0))),
% 217.76/140.37 inference(rewrite,[status(thm)],[])).
% 217.76/140.37 tff(5164,plain,
% 217.76/140.37 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB73, 0) <=> v84(constB72, 0))) <=> ($false | $false | (v84(constB73, 0) <=> v84(constB72, 0)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.37 tff(5165,plain,
% 217.76/140.37 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB73, 0) <=> v84(constB72, 0))) <=> (v84(constB73, 0) <=> v84(constB72, 0))),
% 217.76/140.37 inference(transitivity,[status(thm)],[5164, 5163])).
% 217.76/140.37 tff(5166,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB73, 0) <=> v84(constB72, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 0) <=> v84(constB72, 0)))),
% 217.76/140.37 inference(monotonicity,[status(thm)],[5165])).
% 217.76/140.37 tff(5167,plain,
% 217.76/140.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB73, 0) <=> v84(constB72, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 0) <=> v84(constB72, 0)))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5166, 5162])).
% 217.76/140.38 tff(5168,plain,
% 217.76/140.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB73, 0) <=> v84(constB72, 0)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5169,plain,
% 217.76/140.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 0) <=> v84(constB72, 0))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5168, 5167])).
% 217.76/140.38 tff(5170,plain,
% 217.76/140.38 (v84(constB73, 0) <=> v84(constB72, 0)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5169, 5161])).
% 217.76/140.38 tff(5171,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB71) <=> (v108(constB71) | v119(constB71)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5172,plain,
% 217.76/140.38 (v107(constB71) <=> (v108(constB71) | v119(constB71))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5171, 187])).
% 217.76/140.38 tff(5173,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB71) <=> (v109(constB71) | v118(constB71)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5174,plain,
% 217.76/140.38 (v108(constB71) <=> (v109(constB71) | v118(constB71))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5173, 428])).
% 217.76/140.38 tff(5175,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB71) <=> (v110(constB71) | v117(constB71)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5176,plain,
% 217.76/140.38 (v109(constB71) <=> (v110(constB71) | v117(constB71))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5175, 456])).
% 217.76/140.38 tff(5177,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB71) <=> (v111(constB71) | v116(constB71)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5178,plain,
% 217.76/140.38 (v110(constB71) <=> (v111(constB71) | v116(constB71))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5177, 265])).
% 217.76/140.38 tff(5179,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB71) <=> (v112(constB71) | v115(constB71)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5180,plain,
% 217.76/140.38 (v111(constB71) <=> (v112(constB71) | v115(constB71))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5179, 274])).
% 217.76/140.38 tff(5181,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB71) <=> (v113(constB71) | v114(constB71)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5182,plain,
% 217.76/140.38 (v112(constB71) <=> (v113(constB71) | v114(constB71))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5181, 283])).
% 217.76/140.38 tff(5183,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5184,plain,
% 217.76/140.38 (v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5183, 298])).
% 217.76/140.38 tff(5185,plain,
% 217.76/140.38 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5186,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70')).
% 217.76/140.38 tff(5187,plain,
% 217.76/140.38 (nextState(constB70, constB71)),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5186, 5185])).
% 217.76/140.38 tff(5188,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71))))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5189,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71))))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5190,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71)))))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5189, 5188])).
% 217.76/140.38 tff(5191,plain,
% 217.76/140.38 (v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71))))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5190, 5187, 14])).
% 217.76/140.38 tff(5192,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5193,plain,
% 217.76/140.38 (((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71)))))) <=> ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5194,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))))),
% 217.76/140.38 inference(monotonicity,[status(thm)],[5193])).
% 217.76/140.38 tff(5195,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5194, 5192])).
% 217.76/140.38 tff(5196,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71))))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5197,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 217.76/140.38 tff(5198,plain,
% 217.76/140.38 (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5197, 5187, 37])).
% 217.76/140.38 tff(5199,plain,
% 217.76/140.38 ((~v1(constB71)) <=> (~v1(constB71))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5200,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71')).
% 217.76/140.38 tff(5201,plain,
% 217.76/140.38 (~v1(constB71)),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 217.76/140.38 tff(5202,plain,
% 217.76/140.38 (((~v1(constB71)) | (~v96(constB71))) | v1(constB71)),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5203,plain,
% 217.76/140.38 ((~v1(constB71)) | (~v96(constB71))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5202, 5201])).
% 217.76/140.38 tff(5204,plain,
% 217.76/140.38 ((~(v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))) | (~v95(constB71)) | (~((~v1(constB71)) | (~v96(constB71))))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5205,plain,
% 217.76/140.38 ((~(v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))) | (~v95(constB71))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5204, 5203])).
% 217.76/140.38 tff(5206,plain,
% 217.76/140.38 (~v95(constB71)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5205, 5198])).
% 217.76/140.38 tff(5207,plain,
% 217.76/140.38 (((~v95(constB71)) | (~v104(constB71))) | v95(constB71)),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5208,plain,
% 217.76/140.38 ((~v95(constB71)) | (~v104(constB71))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5207, 5206])).
% 217.76/140.38 tff(5209,plain,
% 217.76/140.38 ((~(v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71)))))) | (~v94(constB71)) | (~((~v95(constB71)) | (~v104(constB71))))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5210,plain,
% 217.76/140.38 (~v94(constB71)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5209, 5208, 5191])).
% 217.76/140.38 tff(5211,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB71) | (~nextState(constB70, constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB71) | (~nextState(constB70, constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5212,plain,
% 217.76/140.38 ((v94(constB71) | (~nextState(constB70, constB71)) | ![B: $int] : ((v84(constB71, B) <=> v84(constB70, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB71) | (~nextState(constB70, constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5213,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB71) | (~nextState(constB70, constB71)) | ![B: $int] : ((v84(constB71, B) <=> v84(constB70, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB71) | (~nextState(constB70, constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))))),
% 217.76/140.38 inference(monotonicity,[status(thm)],[5212])).
% 217.76/140.38 tff(5214,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB71) | (~nextState(constB70, constB71)) | ![B: $int] : ((v84(constB71, B) <=> v84(constB70, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB71) | (~nextState(constB70, constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B))))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5213, 5211])).
% 217.76/140.38 tff(5215,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB71) | (~nextState(constB70, constB71)) | ![B: $int] : ((v84(constB71, B) <=> v84(constB70, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5216,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB71) | (~nextState(constB70, constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5215, 5214])).
% 217.76/140.38 tff(5217,plain,
% 217.76/140.38 (v94(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5216, 5187, 235])).
% 217.76/140.38 tff(5218,plain,
% 217.76/140.38 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5217, 5210])).
% 217.76/140.38 tff(5219,plain,
% 217.76/140.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 2) <=> v84(constB70, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 2) <=> v84(constB70, 2)))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5220,plain,
% 217.76/140.38 (($false | $false | (v84(constB71, 2) <=> v84(constB70, 2))) <=> (v84(constB71, 2) <=> v84(constB70, 2))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5221,plain,
% 217.76/140.38 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB71, 2) <=> v84(constB70, 2))) <=> ($false | $false | (v84(constB71, 2) <=> v84(constB70, 2)))),
% 217.76/140.38 inference(monotonicity,[status(thm)],[534, 533])).
% 217.76/140.38 tff(5222,plain,
% 217.76/140.38 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB71, 2) <=> v84(constB70, 2))) <=> (v84(constB71, 2) <=> v84(constB70, 2))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5221, 5220])).
% 217.76/140.38 tff(5223,plain,
% 217.76/140.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB71, 2) <=> v84(constB70, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 2) <=> v84(constB70, 2)))),
% 217.76/140.38 inference(monotonicity,[status(thm)],[5222])).
% 217.76/140.38 tff(5224,plain,
% 217.76/140.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB71, 2) <=> v84(constB70, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 2) <=> v84(constB70, 2)))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5223, 5219])).
% 217.76/140.38 tff(5225,plain,
% 217.76/140.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB71, 2) <=> v84(constB70, 2)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5226,plain,
% 217.76/140.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 2) <=> v84(constB70, 2))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5225, 5224])).
% 217.76/140.38 tff(5227,plain,
% 217.76/140.38 (v84(constB71, 2) <=> v84(constB70, 2)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5226, 5218])).
% 217.76/140.38 tff(5228,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB69) <=> (v108(constB69) | v119(constB69)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5229,plain,
% 217.76/140.38 (v107(constB69) <=> (v108(constB69) | v119(constB69))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5228, 187])).
% 217.76/140.38 tff(5230,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB69) <=> (~(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2)))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5231,plain,
% 217.76/140.38 (v119(constB69) <=> (~(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5230, 318])).
% 217.76/140.38 tff(5232,plain,
% 217.76/140.38 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5233,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68')).
% 217.76/140.38 tff(5234,plain,
% 217.76/140.38 (nextState(constB68, constB69)),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5233, 5232])).
% 217.76/140.38 tff(5235,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69))))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5236,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69))))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5237,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69)))))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 217.76/140.38 tff(5238,plain,
% 217.76/140.38 (v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69))))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5237, 5234, 14])).
% 217.76/140.38 tff(5239,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5240,plain,
% 217.76/140.38 (((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69)))))) <=> ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5241,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))))),
% 217.76/140.38 inference(monotonicity,[status(thm)],[5240])).
% 217.76/140.38 tff(5242,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5241, 5239])).
% 217.76/140.38 tff(5243,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69))))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5244,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5243, 5242])).
% 217.76/140.38 tff(5245,plain,
% 217.76/140.38 (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5244, 5234, 37])).
% 217.76/140.38 tff(5246,plain,
% 217.76/140.38 ((~v1(constB69)) <=> (~v1(constB69))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5247,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69')).
% 217.76/140.38 tff(5248,plain,
% 217.76/140.38 (~v1(constB69)),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5247, 5246])).
% 217.76/140.38 tff(5249,plain,
% 217.76/140.38 (((~v1(constB69)) | (~v96(constB69))) | v1(constB69)),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5250,plain,
% 217.76/140.38 ((~v1(constB69)) | (~v96(constB69))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5249, 5248])).
% 217.76/140.38 tff(5251,plain,
% 217.76/140.38 ((~(v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))) | (~v95(constB69)) | (~((~v1(constB69)) | (~v96(constB69))))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5252,plain,
% 217.76/140.38 ((~(v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))) | (~v95(constB69))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5251, 5250])).
% 217.76/140.38 tff(5253,plain,
% 217.76/140.38 (~v95(constB69)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5252, 5245])).
% 217.76/140.38 tff(5254,plain,
% 217.76/140.38 (((~v95(constB69)) | (~v104(constB69))) | v95(constB69)),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5255,plain,
% 217.76/140.38 ((~v95(constB69)) | (~v104(constB69))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5254, 5253])).
% 217.76/140.38 tff(5256,plain,
% 217.76/140.38 ((~(v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69)))))) | (~v94(constB69)) | (~((~v95(constB69)) | (~v104(constB69))))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5257,plain,
% 217.76/140.38 (~v94(constB69)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5256, 5255, 5238])).
% 217.76/140.38 tff(5258,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB69) | (~nextState(constB68, constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB69) | (~nextState(constB68, constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5259,plain,
% 217.76/140.38 ((v94(constB69) | (~nextState(constB68, constB69)) | ![B: $int] : ((v84(constB69, B) <=> v84(constB68, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB69) | (~nextState(constB68, constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5260,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB69) | (~nextState(constB68, constB69)) | ![B: $int] : ((v84(constB69, B) <=> v84(constB68, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB69) | (~nextState(constB68, constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))))),
% 217.76/140.38 inference(monotonicity,[status(thm)],[5259])).
% 217.76/140.38 tff(5261,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB69) | (~nextState(constB68, constB69)) | ![B: $int] : ((v84(constB69, B) <=> v84(constB68, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB69) | (~nextState(constB68, constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B))))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5260, 5258])).
% 217.76/140.38 tff(5262,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB69) | (~nextState(constB68, constB69)) | ![B: $int] : ((v84(constB69, B) <=> v84(constB68, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5263,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB69) | (~nextState(constB68, constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5262, 5261])).
% 217.76/140.38 tff(5264,plain,
% 217.76/140.38 (v94(constB69) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5263, 5234, 235])).
% 217.76/140.38 tff(5265,plain,
% 217.76/140.38 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5264, 5257])).
% 217.76/140.38 tff(5266,plain,
% 217.76/140.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 0) <=> v84(constB68, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 0) <=> v84(constB68, 0)))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5267,plain,
% 217.76/140.38 (($false | $false | (v84(constB69, 0) <=> v84(constB68, 0))) <=> (v84(constB69, 0) <=> v84(constB68, 0))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5268,plain,
% 217.76/140.38 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB69, 0) <=> v84(constB68, 0))) <=> ($false | $false | (v84(constB69, 0) <=> v84(constB68, 0)))),
% 217.76/140.38 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.38 tff(5269,plain,
% 217.76/140.38 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB69, 0) <=> v84(constB68, 0))) <=> (v84(constB69, 0) <=> v84(constB68, 0))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5268, 5267])).
% 217.76/140.38 tff(5270,plain,
% 217.76/140.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB69, 0) <=> v84(constB68, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 0) <=> v84(constB68, 0)))),
% 217.76/140.38 inference(monotonicity,[status(thm)],[5269])).
% 217.76/140.38 tff(5271,plain,
% 217.76/140.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB69, 0) <=> v84(constB68, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 0) <=> v84(constB68, 0)))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5270, 5266])).
% 217.76/140.38 tff(5272,plain,
% 217.76/140.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB69, 0) <=> v84(constB68, 0)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5273,plain,
% 217.76/140.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 0) <=> v84(constB68, 0))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 217.76/140.38 tff(5274,plain,
% 217.76/140.38 (v84(constB69, 0) <=> v84(constB68, 0)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5273, 5265])).
% 217.76/140.38 tff(5275,assumption,(~v104(constB68)), introduced(assumption)).
% 217.76/140.38 tff(5276,plain,
% 217.76/140.38 (((~v95(constB68)) | (~v104(constB68))) | v104(constB68)),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5277,plain,
% 217.76/140.38 ((~v95(constB68)) | (~v104(constB68))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5276, 5275])).
% 217.76/140.38 tff(5278,plain,
% 217.76/140.38 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5279,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67')).
% 217.76/140.38 tff(5280,plain,
% 217.76/140.38 (nextState(constB67, constB68)),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5279, 5278])).
% 217.76/140.38 tff(5281,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68))))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5282,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68))))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5283,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68)))))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5282, 5281])).
% 217.76/140.38 tff(5284,plain,
% 217.76/140.38 (v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68))))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5283, 5280, 14])).
% 217.76/140.38 tff(5285,plain,
% 217.76/140.38 ((~(v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68)))))) | (~v94(constB68)) | (~((~v95(constB68)) | (~v104(constB68))))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5286,plain,
% 217.76/140.38 ((~v94(constB68)) | (~((~v95(constB68)) | (~v104(constB68))))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5285, 5284])).
% 217.76/140.38 tff(5287,plain,
% 217.76/140.38 (~v94(constB68)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5286, 5277])).
% 217.76/140.38 tff(5288,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB68) | (~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB68) | (~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5289,plain,
% 217.76/140.38 ((v94(constB68) | (~nextState(constB67, constB68)) | ![B: $int] : ((v84(constB68, B) <=> v84(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB68) | (~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B))))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5290,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB68) | (~nextState(constB67, constB68)) | ![B: $int] : ((v84(constB68, B) <=> v84(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB68) | (~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))))),
% 217.76/140.38 inference(monotonicity,[status(thm)],[5289])).
% 217.76/140.38 tff(5291,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB68) | (~nextState(constB67, constB68)) | ![B: $int] : ((v84(constB68, B) <=> v84(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB68) | (~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B))))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5290, 5288])).
% 217.76/140.38 tff(5292,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB68) | (~nextState(constB67, constB68)) | ![B: $int] : ((v84(constB68, B) <=> v84(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5293,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB68) | (~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5292, 5291])).
% 217.76/140.38 tff(5294,plain,
% 217.76/140.38 (v94(constB68) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5293, 5280, 235])).
% 217.76/140.38 tff(5295,plain,
% 217.76/140.38 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5294, 5287])).
% 217.76/140.38 tff(5296,plain,
% 217.76/140.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 0) <=> v84(constB67, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 0) <=> v84(constB67, 0)))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5297,plain,
% 217.76/140.38 (($false | $false | (v84(constB68, 0) <=> v84(constB67, 0))) <=> (v84(constB68, 0) <=> v84(constB67, 0))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5298,plain,
% 217.76/140.38 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB68, 0) <=> v84(constB67, 0))) <=> ($false | $false | (v84(constB68, 0) <=> v84(constB67, 0)))),
% 217.76/140.38 inference(monotonicity,[status(thm)],[250, 249])).
% 217.76/140.38 tff(5299,plain,
% 217.76/140.38 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB68, 0) <=> v84(constB67, 0))) <=> (v84(constB68, 0) <=> v84(constB67, 0))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5298, 5297])).
% 217.76/140.38 tff(5300,plain,
% 217.76/140.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB68, 0) <=> v84(constB67, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 0) <=> v84(constB67, 0)))),
% 217.76/140.38 inference(monotonicity,[status(thm)],[5299])).
% 217.76/140.38 tff(5301,plain,
% 217.76/140.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB68, 0) <=> v84(constB67, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 0) <=> v84(constB67, 0)))),
% 217.76/140.38 inference(transitivity,[status(thm)],[5300, 5296])).
% 217.76/140.38 tff(5302,plain,
% 217.76/140.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB68, 0) <=> v84(constB67, 0)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5303,plain,
% 217.76/140.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 0) <=> v84(constB67, 0))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5302, 5301])).
% 217.76/140.38 tff(5304,plain,
% 217.76/140.38 (v84(constB68, 0) <=> v84(constB67, 0)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5303, 5295])).
% 217.76/140.38 tff(5305,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB67) <=> (~(v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5306,plain,
% 217.76/140.38 (v119(constB67) <=> (~(v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2))))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5305, 318])).
% 217.76/140.38 tff(5307,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB67) <=> (v108(constB67) | v119(constB67)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5308,plain,
% 217.76/140.38 (v107(constB67) <=> (v108(constB67) | v119(constB67))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5307, 187])).
% 217.76/140.38 tff(5309,plain,
% 217.76/140.38 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67)))),
% 217.76/140.38 inference(rewrite,[status(thm)],[])).
% 217.76/140.38 tff(5310,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5311,plain,
% 217.76/140.38 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67))),
% 217.76/140.38 inference(modus_ponens,[status(thm)],[5310, 5309])).
% 217.76/140.38 tff(5312,plain,
% 217.76/140.38 (v104(constB68) <=> v102(constB67)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5311, 5280, 101])).
% 217.76/140.38 tff(5313,plain,
% 217.76/140.38 ((~(v104(constB68) <=> v102(constB67))) | v104(constB68) | (~v102(constB67))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5314,plain,
% 217.76/140.38 (v104(constB68) | (~v102(constB67))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5313, 5312])).
% 217.76/140.38 tff(5315,plain,
% 217.76/140.38 (~v102(constB67)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5314, 5275])).
% 217.76/140.38 tff(5316,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB67) <=> (v105(constB67) | v106(constB67)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5317,plain,
% 217.76/140.38 (v102(constB67) <=> (v105(constB67) | v106(constB67))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5316, 115])).
% 217.76/140.38 tff(5318,plain,
% 217.76/140.38 ((~(v102(constB67) <=> (v105(constB67) | v106(constB67)))) | v102(constB67) | (~(v105(constB67) | v106(constB67)))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5319,plain,
% 217.76/140.38 (v102(constB67) | (~(v105(constB67) | v106(constB67)))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5318, 5317])).
% 217.76/140.38 tff(5320,plain,
% 217.76/140.38 (~(v105(constB67) | v106(constB67))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5319, 5315])).
% 217.76/140.38 tff(5321,plain,
% 217.76/140.38 ((v105(constB67) | v106(constB67)) | (~v106(constB67))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5322,plain,
% 217.76/140.38 (~v106(constB67)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5321, 5320])).
% 217.76/140.38 tff(5323,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB67) <=> (~((~v107(constB67)) | (~v120(constB67)))))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5324,plain,
% 217.76/140.38 (v106(constB67) <=> (~((~v107(constB67)) | (~v120(constB67))))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5323, 132])).
% 217.76/140.38 tff(5325,plain,
% 217.76/140.38 ((~(v106(constB67) <=> (~((~v107(constB67)) | (~v120(constB67)))))) | v106(constB67) | ((~v107(constB67)) | (~v120(constB67)))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5326,plain,
% 217.76/140.38 (v106(constB67) | ((~v107(constB67)) | (~v120(constB67)))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5325, 5324])).
% 217.76/140.38 tff(5327,plain,
% 217.76/140.38 ((~v107(constB67)) | (~v120(constB67))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5326, 5322])).
% 217.76/140.38 tff(5328,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB67)) <=> v105(constB67))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5329,plain,
% 217.76/140.38 ((~v120(constB67)) <=> v105(constB67)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5328, 144])).
% 217.76/140.38 tff(5330,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB67) <=> v26(constB67))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5331,plain,
% 217.76/140.38 (v105(constB67) <=> v26(constB67)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5330, 156])).
% 217.76/140.38 tff(5332,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5333,plain,
% 217.76/140.38 (~v26(constB67)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5332, 168])).
% 217.76/140.38 tff(5334,plain,
% 217.76/140.38 ((~(v105(constB67) <=> v26(constB67))) | (~v105(constB67)) | v26(constB67)),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5335,plain,
% 217.76/140.38 ((~(v105(constB67) <=> v26(constB67))) | (~v105(constB67))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5334, 5333])).
% 217.76/140.38 tff(5336,plain,
% 217.76/140.38 (~v105(constB67)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5335, 5331])).
% 217.76/140.38 tff(5337,plain,
% 217.76/140.38 ((~((~v120(constB67)) <=> v105(constB67))) | v120(constB67) | v105(constB67)),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5338,plain,
% 217.76/140.38 ((~((~v120(constB67)) <=> v105(constB67))) | v120(constB67)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5337, 5336])).
% 217.76/140.38 tff(5339,plain,
% 217.76/140.38 (v120(constB67)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5338, 5329])).
% 217.76/140.38 tff(5340,plain,
% 217.76/140.38 ((~((~v107(constB67)) | (~v120(constB67)))) | (~v107(constB67)) | (~v120(constB67))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5341,plain,
% 217.76/140.38 ((~((~v107(constB67)) | (~v120(constB67)))) | (~v107(constB67))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5340, 5339])).
% 217.76/140.38 tff(5342,plain,
% 217.76/140.38 (~v107(constB67)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5341, 5327])).
% 217.76/140.38 tff(5343,plain,
% 217.76/140.38 ((~(v107(constB67) <=> (v108(constB67) | v119(constB67)))) | v107(constB67) | (~(v108(constB67) | v119(constB67)))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5344,plain,
% 217.76/140.38 ((~(v107(constB67) <=> (v108(constB67) | v119(constB67)))) | (~(v108(constB67) | v119(constB67)))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5343, 5342])).
% 217.76/140.38 tff(5345,plain,
% 217.76/140.38 (~(v108(constB67) | v119(constB67))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5344, 5308])).
% 217.76/140.38 tff(5346,plain,
% 217.76/140.38 ((v108(constB67) | v119(constB67)) | (~v119(constB67))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5347,plain,
% 217.76/140.38 (~v119(constB67)),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5346, 5345])).
% 217.76/140.38 tff(5348,plain,
% 217.76/140.38 ((~(v119(constB67) <=> (~(v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))))) | v119(constB67) | (v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))),
% 217.76/140.38 inference(tautology,[status(thm)],[])).
% 217.76/140.38 tff(5349,plain,
% 217.76/140.38 ((~(v119(constB67) <=> (~(v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))))) | (v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5348, 5347])).
% 217.76/140.38 tff(5350,plain,
% 217.76/140.38 (v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5349, 5306])).
% 217.76/140.38 tff(5351,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB67) <=> (v110(constB67) | v117(constB67)))),
% 217.76/140.38 inference(quant_inst,[status(thm)],[])).
% 217.76/140.38 tff(5352,plain,
% 217.76/140.38 (v109(constB67) <=> (v110(constB67) | v117(constB67))),
% 217.76/140.38 inference(unit_resolution,[status(thm)],[5351, 456])).
% 217.76/140.38 tff(5353,plain,
% 217.76/140.38 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB67) <=> (v109(constB67) | v118(constB67)))),
% 217.76/140.39 inference(quant_inst,[status(thm)],[])).
% 217.76/140.39 tff(5354,plain,
% 217.76/140.39 (v108(constB67) <=> (v109(constB67) | v118(constB67))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5353, 428])).
% 217.76/140.39 tff(5355,plain,
% 217.76/140.39 ((v108(constB67) | v119(constB67)) | (~v108(constB67))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5356,plain,
% 217.76/140.39 (~v108(constB67)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5355, 5345])).
% 217.76/140.39 tff(5357,plain,
% 217.76/140.39 ((~(v108(constB67) <=> (v109(constB67) | v118(constB67)))) | v108(constB67) | (~(v109(constB67) | v118(constB67)))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5358,plain,
% 217.76/140.39 ((~(v108(constB67) <=> (v109(constB67) | v118(constB67)))) | (~(v109(constB67) | v118(constB67)))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5357, 5356])).
% 217.76/140.39 tff(5359,plain,
% 217.76/140.39 (~(v109(constB67) | v118(constB67))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5358, 5354])).
% 217.76/140.39 tff(5360,plain,
% 217.76/140.39 ((v109(constB67) | v118(constB67)) | (~v109(constB67))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5361,plain,
% 217.76/140.39 (~v109(constB67)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5360, 5359])).
% 217.76/140.39 tff(5362,plain,
% 217.76/140.39 ((~(v109(constB67) <=> (v110(constB67) | v117(constB67)))) | v109(constB67) | (~(v110(constB67) | v117(constB67)))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5363,plain,
% 217.76/140.39 ((~(v109(constB67) <=> (v110(constB67) | v117(constB67)))) | (~(v110(constB67) | v117(constB67)))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5362, 5361])).
% 217.76/140.39 tff(5364,plain,
% 217.76/140.39 (~(v110(constB67) | v117(constB67))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5363, 5352])).
% 217.76/140.39 tff(5365,plain,
% 217.76/140.39 ((v110(constB67) | v117(constB67)) | (~v117(constB67))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5366,plain,
% 217.76/140.39 (~v117(constB67)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5365, 5364])).
% 217.76/140.39 tff(5367,assumption,(~(v117(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))))), introduced(assumption)).
% 217.76/140.39 tff(5368,plain,
% 217.76/140.39 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))))))),
% 217.76/140.39 inference(rewrite,[status(thm)],[])).
% 217.76/140.39 tff(5369,plain,
% 217.76/140.39 ((v117(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | (~v84(constB67, 2))))) <=> (v117(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))))),
% 217.76/140.39 inference(rewrite,[status(thm)],[])).
% 217.76/140.39 tff(5370,plain,
% 217.76/140.39 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | (~v84(constB67, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))))))),
% 217.76/140.39 inference(monotonicity,[status(thm)],[5369])).
% 217.76/140.39 tff(5371,plain,
% 217.76/140.39 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | (~v84(constB67, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))))))),
% 217.76/140.39 inference(transitivity,[status(thm)],[5370, 5368])).
% 217.76/140.39 tff(5372,plain,
% 217.76/140.39 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | (~v84(constB67, 2)))))),
% 217.76/140.39 inference(quant_inst,[status(thm)],[])).
% 217.76/140.39 tff(5373,plain,
% 217.76/140.39 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))))),
% 217.76/140.39 inference(modus_ponens,[status(thm)],[5372, 5371])).
% 217.76/140.39 tff(5374,plain,
% 217.76/140.39 ($false),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5373, 656, 5367])).
% 217.76/140.39 tff(5375,plain,(v117(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.39 tff(5376,plain,
% 217.76/140.39 ((~(v117(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))))) | v117(constB67) | (v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5377,plain,
% 217.76/140.39 (v117(constB67) | (v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5376, 5375])).
% 217.76/140.39 tff(5378,plain,
% 217.76/140.39 (v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5377, 5366])).
% 217.76/140.39 tff(5379,plain,
% 217.76/140.39 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))))),
% 217.76/140.39 inference(quant_inst,[status(thm)],[])).
% 217.76/140.39 tff(5380,plain,
% 217.76/140.39 (v113(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5379, 597])).
% 217.76/140.39 tff(5381,plain,
% 217.76/140.39 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB67) <=> (v113(constB67) | v114(constB67)))),
% 217.76/140.39 inference(quant_inst,[status(thm)],[])).
% 217.76/140.39 tff(5382,plain,
% 217.76/140.39 (v112(constB67) <=> (v113(constB67) | v114(constB67))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5381, 283])).
% 217.76/140.39 tff(5383,plain,
% 217.76/140.39 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB67) <=> (v112(constB67) | v115(constB67)))),
% 217.76/140.39 inference(quant_inst,[status(thm)],[])).
% 217.76/140.39 tff(5384,plain,
% 217.76/140.39 (v111(constB67) <=> (v112(constB67) | v115(constB67))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5383, 274])).
% 217.76/140.39 tff(5385,plain,
% 217.76/140.39 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB67) <=> (v111(constB67) | v116(constB67)))),
% 217.76/140.39 inference(quant_inst,[status(thm)],[])).
% 217.76/140.39 tff(5386,plain,
% 217.76/140.39 (v110(constB67) <=> (v111(constB67) | v116(constB67))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5385, 265])).
% 217.76/140.39 tff(5387,plain,
% 217.76/140.39 ((v110(constB67) | v117(constB67)) | (~v110(constB67))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5388,plain,
% 217.76/140.39 (~v110(constB67)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5387, 5364])).
% 217.76/140.39 tff(5389,plain,
% 217.76/140.39 ((~(v110(constB67) <=> (v111(constB67) | v116(constB67)))) | v110(constB67) | (~(v111(constB67) | v116(constB67)))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5390,plain,
% 217.76/140.39 ((~(v110(constB67) <=> (v111(constB67) | v116(constB67)))) | (~(v111(constB67) | v116(constB67)))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5389, 5388])).
% 217.76/140.39 tff(5391,plain,
% 217.76/140.39 (~(v111(constB67) | v116(constB67))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5390, 5386])).
% 217.76/140.39 tff(5392,plain,
% 217.76/140.39 ((v111(constB67) | v116(constB67)) | (~v111(constB67))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5393,plain,
% 217.76/140.39 (~v111(constB67)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5392, 5391])).
% 217.76/140.39 tff(5394,plain,
% 217.76/140.39 ((~(v111(constB67) <=> (v112(constB67) | v115(constB67)))) | v111(constB67) | (~(v112(constB67) | v115(constB67)))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5395,plain,
% 217.76/140.39 ((~(v111(constB67) <=> (v112(constB67) | v115(constB67)))) | (~(v112(constB67) | v115(constB67)))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5394, 5393])).
% 217.76/140.39 tff(5396,plain,
% 217.76/140.39 (~(v112(constB67) | v115(constB67))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5395, 5384])).
% 217.76/140.39 tff(5397,plain,
% 217.76/140.39 ((v112(constB67) | v115(constB67)) | (~v112(constB67))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5398,plain,
% 217.76/140.39 (~v112(constB67)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5397, 5396])).
% 217.76/140.39 tff(5399,plain,
% 217.76/140.39 ((~(v112(constB67) <=> (v113(constB67) | v114(constB67)))) | v112(constB67) | (~(v113(constB67) | v114(constB67)))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5400,plain,
% 217.76/140.39 ((~(v112(constB67) <=> (v113(constB67) | v114(constB67)))) | (~(v113(constB67) | v114(constB67)))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5399, 5398])).
% 217.76/140.39 tff(5401,plain,
% 217.76/140.39 (~(v113(constB67) | v114(constB67))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5400, 5382])).
% 217.76/140.39 tff(5402,plain,
% 217.76/140.39 ((v113(constB67) | v114(constB67)) | (~v113(constB67))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5403,plain,
% 217.76/140.39 (~v113(constB67)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5402, 5401])).
% 217.76/140.39 tff(5404,plain,
% 217.76/140.39 ((~(v113(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))))) | v113(constB67) | (v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5405,plain,
% 217.76/140.39 ((~(v113(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))))) | (v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5404, 5403])).
% 217.76/140.39 tff(5406,plain,
% 217.76/140.39 (v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5405, 5380])).
% 217.76/140.39 tff(5407,plain,
% 217.76/140.39 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB67) <=> (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))))),
% 217.76/140.39 inference(quant_inst,[status(thm)],[])).
% 217.76/140.39 tff(5408,plain,
% 217.76/140.39 (v118(constB67) <=> (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5407, 394])).
% 217.76/140.39 tff(5409,plain,
% 217.76/140.39 ((v109(constB67) | v118(constB67)) | (~v118(constB67))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5410,plain,
% 217.76/140.39 (~v118(constB67)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5409, 5359])).
% 217.76/140.39 tff(5411,plain,
% 217.76/140.39 ((~(v118(constB67) <=> (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))))) | v118(constB67) | (v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5412,plain,
% 217.76/140.39 ((~(v118(constB67) <=> (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))))) | (v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5411, 5410])).
% 217.76/140.39 tff(5413,plain,
% 217.76/140.39 (v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5412, 5408])).
% 217.76/140.39 tff(5414,plain,
% 217.76/140.39 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))))),
% 217.76/140.39 inference(quant_inst,[status(thm)],[])).
% 217.76/140.39 tff(5415,plain,
% 217.76/140.39 (v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5414, 298])).
% 217.76/140.39 tff(5416,plain,
% 217.76/140.39 ((v113(constB67) | v114(constB67)) | (~v114(constB67))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5417,plain,
% 217.76/140.39 (~v114(constB67)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5416, 5401])).
% 217.76/140.39 tff(5418,plain,
% 217.76/140.39 ((~(v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))))) | v114(constB67) | (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5419,plain,
% 217.76/140.39 ((~(v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))))) | (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5418, 5417])).
% 217.76/140.39 tff(5420,plain,
% 217.76/140.39 (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5419, 5415])).
% 217.76/140.39 tff(5421,assumption,(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))), introduced(assumption)).
% 217.76/140.39 tff(5422,assumption,(~v84(constB67, 1)), introduced(assumption)).
% 217.76/140.39 tff(5423,assumption,(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))), introduced(assumption)).
% 217.76/140.39 tff(5424,assumption,(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)), introduced(assumption)).
% 217.76/140.39 tff(5425,assumption,(~v84(constB67, 0)), introduced(assumption)).
% 217.76/140.39 tff(5426,plain,
% 217.76/140.39 ((~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))) | v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5427,plain,
% 217.76/140.39 (~v84(constB67, 2)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5426, 5425, 5423, 5422])).
% 217.76/140.39 tff(5428,plain,
% 217.76/140.39 ((~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))) | v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5429,plain,
% 217.76/140.39 ($false),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5428, 5427, 5425, 5422, 5424])).
% 217.76/140.39 tff(5430,plain,(v84(constB67, 0) | v84(constB67, 1) | (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))) | (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.39 tff(5431,plain,
% 217.76/140.39 (v84(constB67, 0)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5430, 5422, 5424, 5423])).
% 217.76/140.39 tff(5432,assumption,(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))), introduced(assumption)).
% 217.76/140.39 tff(5433,plain,
% 217.76/140.39 ((~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))) | v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5434,plain,
% 217.76/140.39 (~v84(constB67, 2)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5433, 5431, 5422, 5432])).
% 217.76/140.39 tff(5435,plain,
% 217.76/140.39 ((~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))) | v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 217.76/140.39 inference(tautology,[status(thm)],[])).
% 217.76/140.39 tff(5436,plain,
% 217.76/140.39 ($false),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5435, 5434, 5431, 5422, 5421])).
% 217.76/140.39 tff(5437,plain,(v84(constB67, 1) | (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))) | (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))) | (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))) | (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.76/140.39 tff(5438,plain,
% 217.76/140.39 (v84(constB67, 1)),
% 217.76/140.39 inference(unit_resolution,[status(thm)],[5437, 5420, 5413, 5406, 5378])).
% 217.76/140.39 tff(5439,plain,
% 217.76/140.39 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))))))),
% 217.76/140.39 inference(rewrite,[status(thm)],[])).
% 217.76/140.39 tff(5440,plain,
% 217.76/140.39 ((v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 1)) | (~v84(constB67, 0))))) <=> (v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))))),
% 217.76/140.39 inference(rewrite,[status(thm)],[])).
% 217.76/140.39 tff(5441,plain,
% 217.76/140.39 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 1)) | (~v84(constB67, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))))))),
% 217.76/140.39 inference(monotonicity,[status(thm)],[5440])).
% 217.76/140.39 tff(5442,plain,
% 217.76/140.39 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 1)) | (~v84(constB67, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))))))),
% 217.76/140.39 inference(transitivity,[status(thm)],[5441, 5439])).
% 217.76/140.39 tff(5443,plain,
% 217.76/140.39 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 1)) | (~v84(constB67, 0)))))),
% 217.76/140.39 inference(quant_inst,[status(thm)],[])).
% 217.76/140.39 tff(5444,plain,
% 217.76/140.39 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))))),
% 217.85/140.39 inference(modus_ponens,[status(thm)],[5443, 5442])).
% 217.85/140.39 tff(5445,plain,
% 217.85/140.39 (v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5444, 521])).
% 217.85/140.39 tff(5446,plain,
% 217.85/140.39 ((v111(constB67) | v116(constB67)) | (~v116(constB67))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5447,plain,
% 217.85/140.39 (~v116(constB67)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5446, 5391])).
% 217.85/140.39 tff(5448,plain,
% 217.85/140.39 ((~(v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))))) | v116(constB67) | (v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5449,plain,
% 217.85/140.39 ((~(v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))))) | (v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5448, 5447])).
% 217.85/140.39 tff(5450,plain,
% 217.85/140.39 (v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5449, 5445])).
% 217.85/140.39 tff(5451,plain,
% 217.85/140.39 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))))))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5452,plain,
% 217.85/140.39 ((v115(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 2) | (~v84(constB67, 1))))) <=> (v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5453,plain,
% 217.85/140.39 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 2) | (~v84(constB67, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))))))),
% 217.85/140.39 inference(monotonicity,[status(thm)],[5452])).
% 217.85/140.39 tff(5454,plain,
% 217.85/140.39 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 2) | (~v84(constB67, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))))))),
% 217.85/140.39 inference(transitivity,[status(thm)],[5453, 5451])).
% 217.85/140.39 tff(5455,plain,
% 217.85/140.39 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 2) | (~v84(constB67, 1)))))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5456,plain,
% 217.85/140.39 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))))),
% 217.85/140.39 inference(modus_ponens,[status(thm)],[5455, 5454])).
% 217.85/140.39 tff(5457,plain,
% 217.85/140.39 (v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5456, 622])).
% 217.85/140.39 tff(5458,plain,
% 217.85/140.39 ((v112(constB67) | v115(constB67)) | (~v115(constB67))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5459,plain,
% 217.85/140.39 (~v115(constB67)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5458, 5396])).
% 217.85/140.39 tff(5460,plain,
% 217.85/140.39 ((~(v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))))) | v115(constB67) | (v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5461,plain,
% 217.85/140.39 ((~(v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))))) | (v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5460, 5459])).
% 217.85/140.39 tff(5462,plain,
% 217.85/140.39 (v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5461, 5457])).
% 217.85/140.39 tff(5463,assumption,(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))), introduced(assumption)).
% 217.85/140.39 tff(5464,assumption,(v84(constB67, 1)), introduced(assumption)).
% 217.85/140.39 tff(5465,assumption,(~v84(constB67, 2)), introduced(assumption)).
% 217.85/140.39 tff(5466,assumption,(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))), introduced(assumption)).
% 217.85/140.39 tff(5467,plain,
% 217.85/140.39 ((~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))) | v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5468,plain,
% 217.85/140.39 (~v84(constB67, 0)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5467, 5465, 5464, 5466])).
% 217.85/140.39 tff(5469,plain,
% 217.85/140.39 ((~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))) | v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5470,plain,
% 217.85/140.39 ($false),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5469, 5468, 5465, 5464, 5463])).
% 217.85/140.39 tff(5471,plain,(v84(constB67, 2) | (~v84(constB67, 1)) | (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))) | (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))))), inference(lemma,lemma(discharge,[]))).
% 217.85/140.39 tff(5472,plain,
% 217.85/140.39 (v84(constB67, 2)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5471, 5438, 5462, 5450])).
% 217.85/140.39 tff(5473,plain,
% 217.85/140.39 ((~(v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))) | v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5474,plain,
% 217.85/140.39 (v84(constB67, 0)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5473, 5472, 5438, 5350])).
% 217.85/140.39 tff(5475,plain,
% 217.85/140.39 ((~(v84(constB68, 0) <=> v84(constB67, 0))) | v84(constB68, 0) | (~v84(constB67, 0))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5476,plain,
% 217.85/140.39 ((~(v84(constB68, 0) <=> v84(constB67, 0))) | v84(constB68, 0)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5475, 5474])).
% 217.85/140.39 tff(5477,plain,
% 217.85/140.39 (v84(constB68, 0)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5476, 5304])).
% 217.85/140.39 tff(5478,plain,
% 217.85/140.39 ((~(v84(constB69, 0) <=> v84(constB68, 0))) | v84(constB69, 0) | (~v84(constB68, 0))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5479,plain,
% 217.85/140.39 ((~(v84(constB69, 0) <=> v84(constB68, 0))) | v84(constB69, 0)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5478, 5477])).
% 217.85/140.39 tff(5480,plain,
% 217.85/140.39 (v84(constB69, 0)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5479, 5274])).
% 217.85/140.39 tff(5481,plain,
% 217.85/140.39 ((v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))) | (~v84(constB69, 0))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5482,plain,
% 217.85/140.39 (v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5481, 5480])).
% 217.85/140.39 tff(5483,plain,
% 217.85/140.39 ((~(v119(constB69) <=> (~(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2)))))) | (~v119(constB69)) | (~(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5484,plain,
% 217.85/140.39 (~v119(constB69)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5483, 5482, 5231])).
% 217.85/140.39 tff(5485,plain,
% 217.85/140.39 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB69) <=> (v109(constB69) | v118(constB69)))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5486,plain,
% 217.85/140.39 (v108(constB69) <=> (v109(constB69) | v118(constB69))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5485, 428])).
% 217.85/140.39 tff(5487,plain,
% 217.85/140.39 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB69) <=> (v110(constB69) | v117(constB69)))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5488,plain,
% 217.85/140.39 (v109(constB69) <=> (v110(constB69) | v117(constB69))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5487, 456])).
% 217.85/140.39 tff(5489,plain,
% 217.85/140.39 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB69) <=> (v111(constB69) | v116(constB69)))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5490,plain,
% 217.85/140.39 (v110(constB69) <=> (v111(constB69) | v116(constB69))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5489, 265])).
% 217.85/140.39 tff(5491,plain,
% 217.85/140.39 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))))))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5492,plain,
% 217.85/140.39 ((v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 1)) | (~v84(constB69, 0))))) <=> (v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5493,plain,
% 217.85/140.39 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 1)) | (~v84(constB69, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))))))),
% 217.85/140.39 inference(monotonicity,[status(thm)],[5492])).
% 217.85/140.39 tff(5494,plain,
% 217.85/140.39 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 1)) | (~v84(constB69, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))))))),
% 217.85/140.39 inference(transitivity,[status(thm)],[5493, 5491])).
% 217.85/140.39 tff(5495,plain,
% 217.85/140.39 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 1)) | (~v84(constB69, 0)))))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5496,plain,
% 217.85/140.39 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))))),
% 217.85/140.39 inference(modus_ponens,[status(thm)],[5495, 5494])).
% 217.85/140.39 tff(5497,plain,
% 217.85/140.39 (v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5496, 521])).
% 217.85/140.39 tff(5498,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 2) <=> v84(constB68, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 2) <=> v84(constB68, 2)))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5499,plain,
% 217.85/140.39 (($false | $false | (v84(constB69, 2) <=> v84(constB68, 2))) <=> (v84(constB69, 2) <=> v84(constB68, 2))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5500,plain,
% 217.85/140.39 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB69, 2) <=> v84(constB68, 2))) <=> ($false | $false | (v84(constB69, 2) <=> v84(constB68, 2)))),
% 217.85/140.39 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.39 tff(5501,plain,
% 217.85/140.39 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB69, 2) <=> v84(constB68, 2))) <=> (v84(constB69, 2) <=> v84(constB68, 2))),
% 217.85/140.39 inference(transitivity,[status(thm)],[5500, 5499])).
% 217.85/140.39 tff(5502,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB69, 2) <=> v84(constB68, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 2) <=> v84(constB68, 2)))),
% 217.85/140.39 inference(monotonicity,[status(thm)],[5501])).
% 217.85/140.39 tff(5503,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB69, 2) <=> v84(constB68, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 2) <=> v84(constB68, 2)))),
% 217.85/140.39 inference(transitivity,[status(thm)],[5502, 5498])).
% 217.85/140.39 tff(5504,plain,
% 217.85/140.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB69, 2) <=> v84(constB68, 2)))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5505,plain,
% 217.85/140.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 2) <=> v84(constB68, 2))),
% 217.85/140.39 inference(modus_ponens,[status(thm)],[5504, 5503])).
% 217.85/140.39 tff(5506,plain,
% 217.85/140.39 (v84(constB69, 2) <=> v84(constB68, 2)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5505, 5265])).
% 217.85/140.39 tff(5507,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 2) <=> v84(constB67, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 2) <=> v84(constB67, 2)))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5508,plain,
% 217.85/140.39 (($false | $false | (v84(constB68, 2) <=> v84(constB67, 2))) <=> (v84(constB68, 2) <=> v84(constB67, 2))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5509,plain,
% 217.85/140.39 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB68, 2) <=> v84(constB67, 2))) <=> ($false | $false | (v84(constB68, 2) <=> v84(constB67, 2)))),
% 217.85/140.39 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.39 tff(5510,plain,
% 217.85/140.39 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB68, 2) <=> v84(constB67, 2))) <=> (v84(constB68, 2) <=> v84(constB67, 2))),
% 217.85/140.39 inference(transitivity,[status(thm)],[5509, 5508])).
% 217.85/140.39 tff(5511,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB68, 2) <=> v84(constB67, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 2) <=> v84(constB67, 2)))),
% 217.85/140.39 inference(monotonicity,[status(thm)],[5510])).
% 217.85/140.39 tff(5512,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB68, 2) <=> v84(constB67, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 2) <=> v84(constB67, 2)))),
% 217.85/140.39 inference(transitivity,[status(thm)],[5511, 5507])).
% 217.85/140.39 tff(5513,plain,
% 217.85/140.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB68, 2) <=> v84(constB67, 2)))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5514,plain,
% 217.85/140.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 2) <=> v84(constB67, 2))),
% 217.85/140.39 inference(modus_ponens,[status(thm)],[5513, 5512])).
% 217.85/140.39 tff(5515,plain,
% 217.85/140.39 (v84(constB68, 2) <=> v84(constB67, 2)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5514, 5295])).
% 217.85/140.39 tff(5516,plain,
% 217.85/140.39 ((~(v84(constB68, 2) <=> v84(constB67, 2))) | v84(constB68, 2) | (~v84(constB67, 2))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5517,plain,
% 217.85/140.39 ((~(v84(constB68, 2) <=> v84(constB67, 2))) | v84(constB68, 2)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5516, 5472])).
% 217.85/140.39 tff(5518,plain,
% 217.85/140.39 (v84(constB68, 2)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5517, 5515])).
% 217.85/140.39 tff(5519,plain,
% 217.85/140.39 ((~(v84(constB69, 2) <=> v84(constB68, 2))) | v84(constB69, 2) | (~v84(constB68, 2))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5520,plain,
% 217.85/140.39 ((~(v84(constB69, 2) <=> v84(constB68, 2))) | v84(constB69, 2)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5519, 5518])).
% 217.85/140.39 tff(5521,plain,
% 217.85/140.39 (v84(constB69, 2)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5520, 5506])).
% 217.85/140.39 tff(5522,plain,
% 217.85/140.39 ((v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))) | (~v84(constB69, 2))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5523,plain,
% 217.85/140.39 (v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5522, 5521])).
% 217.85/140.39 tff(5524,plain,
% 217.85/140.39 ((~(v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))))) | (~v116(constB69)) | (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5525,plain,
% 217.85/140.39 (~v116(constB69)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5524, 5523, 5497])).
% 217.85/140.39 tff(5526,plain,
% 217.85/140.39 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB69) <=> (v112(constB69) | v115(constB69)))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5527,plain,
% 217.85/140.39 (v111(constB69) <=> (v112(constB69) | v115(constB69))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5526, 274])).
% 217.85/140.39 tff(5528,plain,
% 217.85/140.39 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB69) <=> (v113(constB69) | v114(constB69)))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5529,plain,
% 217.85/140.39 (v112(constB69) <=> (v113(constB69) | v114(constB69))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5528, 283])).
% 217.85/140.39 tff(5530,plain,
% 217.85/140.39 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5531,plain,
% 217.85/140.39 (v113(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5530, 597])).
% 217.85/140.39 tff(5532,assumption,(~(v84(constB69, 1) <=> v84(constB68, 1))), introduced(assumption)).
% 217.85/140.39 tff(5533,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 1) <=> v84(constB68, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 1) <=> v84(constB68, 1)))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5534,plain,
% 217.85/140.39 (($false | $false | (v84(constB69, 1) <=> v84(constB68, 1))) <=> (v84(constB69, 1) <=> v84(constB68, 1))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5535,plain,
% 217.85/140.39 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB69, 1) <=> v84(constB68, 1))) <=> ($false | $false | (v84(constB69, 1) <=> v84(constB68, 1)))),
% 217.85/140.39 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.39 tff(5536,plain,
% 217.85/140.39 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB69, 1) <=> v84(constB68, 1))) <=> (v84(constB69, 1) <=> v84(constB68, 1))),
% 217.85/140.39 inference(transitivity,[status(thm)],[5535, 5534])).
% 217.85/140.39 tff(5537,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB69, 1) <=> v84(constB68, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 1) <=> v84(constB68, 1)))),
% 217.85/140.39 inference(monotonicity,[status(thm)],[5536])).
% 217.85/140.39 tff(5538,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB69, 1) <=> v84(constB68, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 1) <=> v84(constB68, 1)))),
% 217.85/140.39 inference(transitivity,[status(thm)],[5537, 5533])).
% 217.85/140.39 tff(5539,plain,
% 217.85/140.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB69, 1) <=> v84(constB68, 1)))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5540,plain,
% 217.85/140.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB69, B) <=> v84(constB68, B)))) | (v84(constB69, 1) <=> v84(constB68, 1))),
% 217.85/140.39 inference(modus_ponens,[status(thm)],[5539, 5538])).
% 217.85/140.39 tff(5541,plain,
% 217.85/140.39 ($false),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5540, 5265, 5532])).
% 217.85/140.39 tff(5542,plain,(v84(constB69, 1) <=> v84(constB68, 1)), inference(lemma,lemma(discharge,[]))).
% 217.85/140.39 tff(5543,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 1) <=> v84(constB67, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 1) <=> v84(constB67, 1)))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5544,plain,
% 217.85/140.39 (($false | $false | (v84(constB68, 1) <=> v84(constB67, 1))) <=> (v84(constB68, 1) <=> v84(constB67, 1))),
% 217.85/140.39 inference(rewrite,[status(thm)],[])).
% 217.85/140.39 tff(5545,plain,
% 217.85/140.39 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB68, 1) <=> v84(constB67, 1))) <=> ($false | $false | (v84(constB68, 1) <=> v84(constB67, 1)))),
% 217.85/140.39 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.39 tff(5546,plain,
% 217.85/140.39 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB68, 1) <=> v84(constB67, 1))) <=> (v84(constB68, 1) <=> v84(constB67, 1))),
% 217.85/140.39 inference(transitivity,[status(thm)],[5545, 5544])).
% 217.85/140.39 tff(5547,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB68, 1) <=> v84(constB67, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 1) <=> v84(constB67, 1)))),
% 217.85/140.39 inference(monotonicity,[status(thm)],[5546])).
% 217.85/140.39 tff(5548,plain,
% 217.85/140.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB68, 1) <=> v84(constB67, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 1) <=> v84(constB67, 1)))),
% 217.85/140.39 inference(transitivity,[status(thm)],[5547, 5543])).
% 217.85/140.39 tff(5549,plain,
% 217.85/140.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB68, 1) <=> v84(constB67, 1)))),
% 217.85/140.39 inference(quant_inst,[status(thm)],[])).
% 217.85/140.39 tff(5550,plain,
% 217.85/140.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v84(constB67, B)))) | (v84(constB68, 1) <=> v84(constB67, 1))),
% 217.85/140.39 inference(modus_ponens,[status(thm)],[5549, 5548])).
% 217.85/140.39 tff(5551,plain,
% 217.85/140.39 (v84(constB68, 1) <=> v84(constB67, 1)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5550, 5295])).
% 217.85/140.39 tff(5552,plain,
% 217.85/140.39 ((~(v84(constB68, 1) <=> v84(constB67, 1))) | v84(constB68, 1) | (~v84(constB67, 1))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5553,plain,
% 217.85/140.39 ((~(v84(constB68, 1) <=> v84(constB67, 1))) | v84(constB68, 1)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5552, 5438])).
% 217.85/140.39 tff(5554,plain,
% 217.85/140.39 (v84(constB68, 1)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5553, 5551])).
% 217.85/140.39 tff(5555,plain,
% 217.85/140.39 ((~(v84(constB69, 1) <=> v84(constB68, 1))) | v84(constB69, 1) | (~v84(constB68, 1))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5556,plain,
% 217.85/140.39 (v84(constB69, 1)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5555, 5554, 5542])).
% 217.85/140.39 tff(5557,plain,
% 217.85/140.39 ((v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)) | (~v84(constB69, 1))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5558,plain,
% 217.85/140.39 (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5557, 5556])).
% 217.85/140.39 tff(5559,plain,
% 217.85/140.39 ((~(v113(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))))) | (~v113(constB69)) | (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)))),
% 217.85/140.39 inference(tautology,[status(thm)],[])).
% 217.85/140.39 tff(5560,plain,
% 217.85/140.39 ((~(v113(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))))) | (~v113(constB69))),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5559, 5558])).
% 217.85/140.39 tff(5561,plain,
% 217.85/140.39 (~v113(constB69)),
% 217.85/140.39 inference(unit_resolution,[status(thm)],[5560, 5531])).
% 217.85/140.39 tff(5562,plain,
% 217.85/140.39 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5563,plain,
% 217.85/140.40 (v114(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5562, 298])).
% 217.85/140.40 tff(5564,plain,
% 217.85/140.40 ((v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))) | (~v84(constB69, 1))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5565,plain,
% 217.85/140.40 (v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5564, 5556])).
% 217.85/140.40 tff(5566,plain,
% 217.85/140.40 ((~(v114(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))))) | (~v114(constB69)) | (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5567,plain,
% 217.85/140.40 ((~(v114(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))))) | (~v114(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5566, 5565])).
% 217.85/140.40 tff(5568,plain,
% 217.85/140.40 (~v114(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5567, 5563])).
% 217.85/140.40 tff(5569,plain,
% 217.85/140.40 ((~(v113(constB69) | v114(constB69))) | v113(constB69) | v114(constB69)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5570,plain,
% 217.85/140.40 (~(v113(constB69) | v114(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5569, 5568, 5561])).
% 217.85/140.40 tff(5571,plain,
% 217.85/140.40 ((~(v112(constB69) <=> (v113(constB69) | v114(constB69)))) | (~v112(constB69)) | (v113(constB69) | v114(constB69))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5572,plain,
% 217.85/140.40 ((~(v112(constB69) <=> (v113(constB69) | v114(constB69)))) | (~v112(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5571, 5570])).
% 217.85/140.40 tff(5573,plain,
% 217.85/140.40 (~v112(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5572, 5529])).
% 217.85/140.40 tff(5574,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))))))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5575,plain,
% 217.85/140.40 ((v115(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 2) | (~v84(constB69, 1))))) <=> (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5576,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 2) | (~v84(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))))))),
% 217.85/140.40 inference(monotonicity,[status(thm)],[5575])).
% 217.85/140.40 tff(5577,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 2) | (~v84(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))))))),
% 217.85/140.40 inference(transitivity,[status(thm)],[5576, 5574])).
% 217.85/140.40 tff(5578,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 2) | (~v84(constB69, 1)))))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5579,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))),
% 217.85/140.40 inference(modus_ponens,[status(thm)],[5578, 5577])).
% 217.85/140.40 tff(5580,plain,
% 217.85/140.40 (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5579, 622])).
% 217.85/140.40 tff(5581,plain,
% 217.85/140.40 ((v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))) | (~v84(constB69, 2))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5582,plain,
% 217.85/140.40 (v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5581, 5521])).
% 217.85/140.40 tff(5583,plain,
% 217.85/140.40 ((~(v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))) | (~v115(constB69)) | (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5584,plain,
% 217.85/140.40 (~v115(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5583, 5582, 5580])).
% 217.85/140.40 tff(5585,plain,
% 217.85/140.40 ((~(v112(constB69) | v115(constB69))) | v112(constB69) | v115(constB69)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5586,plain,
% 217.85/140.40 (~(v112(constB69) | v115(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5585, 5584, 5573])).
% 217.85/140.40 tff(5587,plain,
% 217.85/140.40 ((~(v111(constB69) <=> (v112(constB69) | v115(constB69)))) | (~v111(constB69)) | (v112(constB69) | v115(constB69))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5588,plain,
% 217.85/140.40 (~v111(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5587, 5586, 5527])).
% 217.85/140.40 tff(5589,plain,
% 217.85/140.40 ((~(v111(constB69) | v116(constB69))) | v111(constB69) | v116(constB69)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5590,plain,
% 217.85/140.40 (~(v111(constB69) | v116(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5589, 5588, 5525])).
% 217.85/140.40 tff(5591,plain,
% 217.85/140.40 ((~(v110(constB69) <=> (v111(constB69) | v116(constB69)))) | (~v110(constB69)) | (v111(constB69) | v116(constB69))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5592,plain,
% 217.85/140.40 (~v110(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5591, 5590, 5490])).
% 217.85/140.40 tff(5593,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))))))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5594,plain,
% 217.85/140.40 ((v117(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | (~v84(constB69, 2))))) <=> (v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5595,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | (~v84(constB69, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))))))),
% 217.85/140.40 inference(monotonicity,[status(thm)],[5594])).
% 217.85/140.40 tff(5596,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | (~v84(constB69, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))))))),
% 217.85/140.40 inference(transitivity,[status(thm)],[5595, 5593])).
% 217.85/140.40 tff(5597,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | (~v84(constB69, 2)))))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5598,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))))),
% 217.85/140.40 inference(modus_ponens,[status(thm)],[5597, 5596])).
% 217.85/140.40 tff(5599,plain,
% 217.85/140.40 (v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5598, 656])).
% 217.85/140.40 tff(5600,plain,
% 217.85/140.40 ((v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))) | (~v84(constB69, 1))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5601,plain,
% 217.85/140.40 (v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5600, 5556])).
% 217.85/140.40 tff(5602,plain,
% 217.85/140.40 ((~(v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))))) | (~v117(constB69)) | (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5603,plain,
% 217.85/140.40 ((~(v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))))) | (~v117(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5602, 5601])).
% 217.85/140.40 tff(5604,plain,
% 217.85/140.40 (~v117(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5603, 5599])).
% 217.85/140.40 tff(5605,plain,
% 217.85/140.40 ((~(v110(constB69) | v117(constB69))) | v110(constB69) | v117(constB69)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5606,plain,
% 217.85/140.40 ((~(v110(constB69) | v117(constB69))) | v110(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5605, 5604])).
% 217.85/140.40 tff(5607,plain,
% 217.85/140.40 (~(v110(constB69) | v117(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5606, 5592])).
% 217.85/140.40 tff(5608,plain,
% 217.85/140.40 ((~(v109(constB69) <=> (v110(constB69) | v117(constB69)))) | (~v109(constB69)) | (v110(constB69) | v117(constB69))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5609,plain,
% 217.85/140.40 (~v109(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5608, 5607, 5488])).
% 217.85/140.40 tff(5610,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB69) <=> (~(v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2)))))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5611,plain,
% 217.85/140.40 (v118(constB69) <=> (~(v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5610, 394])).
% 217.85/140.40 tff(5612,plain,
% 217.85/140.40 ((v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))) | (~v84(constB69, 1))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5613,plain,
% 217.85/140.40 (v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5612, 5556])).
% 217.85/140.40 tff(5614,plain,
% 217.85/140.40 ((~(v118(constB69) <=> (~(v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2)))))) | (~v118(constB69)) | (~(v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5615,plain,
% 217.85/140.40 ((~(v118(constB69) <=> (~(v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2)))))) | (~v118(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5614, 5613])).
% 217.85/140.40 tff(5616,plain,
% 217.85/140.40 (~v118(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5615, 5611])).
% 217.85/140.40 tff(5617,plain,
% 217.85/140.40 ((~(v109(constB69) | v118(constB69))) | v109(constB69) | v118(constB69)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5618,plain,
% 217.85/140.40 ((~(v109(constB69) | v118(constB69))) | v109(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5617, 5616])).
% 217.85/140.40 tff(5619,plain,
% 217.85/140.40 (~(v109(constB69) | v118(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5618, 5609])).
% 217.85/140.40 tff(5620,plain,
% 217.85/140.40 ((~(v108(constB69) <=> (v109(constB69) | v118(constB69)))) | (~v108(constB69)) | (v109(constB69) | v118(constB69))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5621,plain,
% 217.85/140.40 (~v108(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5620, 5619, 5486])).
% 217.85/140.40 tff(5622,plain,
% 217.85/140.40 ((~(v108(constB69) | v119(constB69))) | v108(constB69) | v119(constB69)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5623,plain,
% 217.85/140.40 (~(v108(constB69) | v119(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5622, 5621, 5484])).
% 217.85/140.40 tff(5624,plain,
% 217.85/140.40 ((~(v107(constB69) <=> (v108(constB69) | v119(constB69)))) | (~v107(constB69)) | (v108(constB69) | v119(constB69))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5625,plain,
% 217.85/140.40 (~v107(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5624, 5623, 5229])).
% 217.85/140.40 tff(5626,plain,
% 217.85/140.40 (((~v107(constB69)) | (~v120(constB69))) | v107(constB69)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5627,plain,
% 217.85/140.40 ((~v107(constB69)) | (~v120(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5626, 5625])).
% 217.85/140.40 tff(5628,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB69) <=> (~((~v107(constB69)) | (~v120(constB69)))))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5629,plain,
% 217.85/140.40 (v106(constB69) <=> (~((~v107(constB69)) | (~v120(constB69))))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5628, 132])).
% 217.85/140.40 tff(5630,plain,
% 217.85/140.40 ((~(v106(constB69) <=> (~((~v107(constB69)) | (~v120(constB69)))))) | (~v106(constB69)) | (~((~v107(constB69)) | (~v120(constB69))))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5631,plain,
% 217.85/140.40 ((~v106(constB69)) | (~((~v107(constB69)) | (~v120(constB69))))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5630, 5629])).
% 217.85/140.40 tff(5632,plain,
% 217.85/140.40 (~v106(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5631, 5627])).
% 217.85/140.40 tff(5633,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB69) <=> v26(constB69))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5634,plain,
% 217.85/140.40 (v105(constB69) <=> v26(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5633, 156])).
% 217.85/140.40 tff(5635,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5636,plain,
% 217.85/140.40 (~v26(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5635, 168])).
% 217.85/140.40 tff(5637,plain,
% 217.85/140.40 ((~(v105(constB69) <=> v26(constB69))) | (~v105(constB69)) | v26(constB69)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5638,plain,
% 217.85/140.40 ((~(v105(constB69) <=> v26(constB69))) | (~v105(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5637, 5636])).
% 217.85/140.40 tff(5639,plain,
% 217.85/140.40 (~v105(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5638, 5634])).
% 217.85/140.40 tff(5640,plain,
% 217.85/140.40 ((~(v105(constB69) | v106(constB69))) | v105(constB69) | v106(constB69)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5641,plain,
% 217.85/140.40 ((~(v105(constB69) | v106(constB69))) | v106(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5640, 5639])).
% 217.85/140.40 tff(5642,plain,
% 217.85/140.40 (~(v105(constB69) | v106(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5641, 5632])).
% 217.85/140.40 tff(5643,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB69) <=> (v105(constB69) | v106(constB69)))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5644,plain,
% 217.85/140.40 (v102(constB69) <=> (v105(constB69) | v106(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5643, 115])).
% 217.85/140.40 tff(5645,plain,
% 217.85/140.40 ((~(v102(constB69) <=> (v105(constB69) | v106(constB69)))) | (~v102(constB69)) | (v105(constB69) | v106(constB69))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5646,plain,
% 217.85/140.40 ((~v102(constB69)) | (v105(constB69) | v106(constB69))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5645, 5644])).
% 217.85/140.40 tff(5647,plain,
% 217.85/140.40 (~v102(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5646, 5642])).
% 217.85/140.40 tff(5648,plain,
% 217.85/140.40 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5649,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69')).
% 217.85/140.40 tff(5650,plain,
% 217.85/140.40 (nextState(constB69, constB70)),
% 217.85/140.40 inference(modus_ponens,[status(thm)],[5649, 5648])).
% 217.85/140.40 tff(5651,plain,
% 217.85/140.40 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69)))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5652,plain,
% 217.85/140.40 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69)))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5653,plain,
% 217.85/140.40 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69))),
% 217.85/140.40 inference(modus_ponens,[status(thm)],[5652, 5651])).
% 217.85/140.40 tff(5654,plain,
% 217.85/140.40 (v104(constB70) <=> v102(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5653, 5650, 101])).
% 217.85/140.40 tff(5655,plain,
% 217.85/140.40 ((~(v104(constB70) <=> v102(constB69))) | (~v104(constB70)) | v102(constB69)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5656,plain,
% 217.85/140.40 ((~v104(constB70)) | v102(constB69)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5655, 5654])).
% 217.85/140.40 tff(5657,plain,
% 217.85/140.40 (~v104(constB70)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5656, 5647])).
% 217.85/140.40 tff(5658,plain,
% 217.85/140.40 (((~v95(constB70)) | (~v104(constB70))) | v104(constB70)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5659,plain,
% 217.85/140.40 ((~v95(constB70)) | (~v104(constB70))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5658, 5657])).
% 217.85/140.40 tff(5660,plain,
% 217.85/140.40 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70))))))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5661,plain,
% 217.85/140.40 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70))))))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5662,plain,
% 217.85/140.40 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70)))))),
% 217.85/140.40 inference(modus_ponens,[status(thm)],[5661, 5660])).
% 217.85/140.40 tff(5663,plain,
% 217.85/140.40 (v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70))))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5662, 5650, 14])).
% 217.85/140.40 tff(5664,plain,
% 217.85/140.40 ((~(v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70)))))) | (~v94(constB70)) | (~((~v95(constB70)) | (~v104(constB70))))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5665,plain,
% 217.85/140.40 ((~v94(constB70)) | (~((~v95(constB70)) | (~v104(constB70))))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5664, 5663])).
% 217.85/140.40 tff(5666,plain,
% 217.85/140.40 (~v94(constB70)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5665, 5659])).
% 217.85/140.40 tff(5667,plain,
% 217.85/140.40 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB70) | (~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB70) | (~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B))))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5668,plain,
% 217.85/140.40 ((v94(constB70) | (~nextState(constB69, constB70)) | ![B: $int] : ((v84(constB70, B) <=> v84(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB70) | (~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B))))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5669,plain,
% 217.85/140.40 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB70) | (~nextState(constB69, constB70)) | ![B: $int] : ((v84(constB70, B) <=> v84(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB70) | (~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))))),
% 217.85/140.40 inference(monotonicity,[status(thm)],[5668])).
% 217.85/140.40 tff(5670,plain,
% 217.85/140.40 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB70) | (~nextState(constB69, constB70)) | ![B: $int] : ((v84(constB70, B) <=> v84(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB70) | (~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B))))),
% 217.85/140.40 inference(transitivity,[status(thm)],[5669, 5667])).
% 217.85/140.40 tff(5671,plain,
% 217.85/140.40 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB70) | (~nextState(constB69, constB70)) | ![B: $int] : ((v84(constB70, B) <=> v84(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5672,plain,
% 217.85/140.40 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB70) | (~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))),
% 217.85/140.40 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 217.85/140.40 tff(5673,plain,
% 217.85/140.40 (v94(constB70) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5672, 5650, 235])).
% 217.85/140.40 tff(5674,plain,
% 217.85/140.40 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5673, 5666])).
% 217.85/140.40 tff(5675,plain,
% 217.85/140.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 2) <=> v84(constB69, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 2) <=> v84(constB69, 2)))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5676,plain,
% 217.85/140.40 (($false | $false | (v84(constB70, 2) <=> v84(constB69, 2))) <=> (v84(constB70, 2) <=> v84(constB69, 2))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5677,plain,
% 217.85/140.40 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB70, 2) <=> v84(constB69, 2))) <=> ($false | $false | (v84(constB70, 2) <=> v84(constB69, 2)))),
% 217.85/140.40 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.40 tff(5678,plain,
% 217.85/140.40 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB70, 2) <=> v84(constB69, 2))) <=> (v84(constB70, 2) <=> v84(constB69, 2))),
% 217.85/140.40 inference(transitivity,[status(thm)],[5677, 5676])).
% 217.85/140.40 tff(5679,plain,
% 217.85/140.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB70, 2) <=> v84(constB69, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 2) <=> v84(constB69, 2)))),
% 217.85/140.40 inference(monotonicity,[status(thm)],[5678])).
% 217.85/140.40 tff(5680,plain,
% 217.85/140.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB70, 2) <=> v84(constB69, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 2) <=> v84(constB69, 2)))),
% 217.85/140.40 inference(transitivity,[status(thm)],[5679, 5675])).
% 217.85/140.40 tff(5681,plain,
% 217.85/140.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB70, 2) <=> v84(constB69, 2)))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5682,plain,
% 217.85/140.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 2) <=> v84(constB69, 2))),
% 217.85/140.40 inference(modus_ponens,[status(thm)],[5681, 5680])).
% 217.85/140.40 tff(5683,plain,
% 217.85/140.40 (v84(constB70, 2) <=> v84(constB69, 2)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5682, 5674])).
% 217.85/140.40 tff(5684,plain,
% 217.85/140.40 ((~(v84(constB70, 2) <=> v84(constB69, 2))) | v84(constB70, 2) | (~v84(constB69, 2))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5685,plain,
% 217.85/140.40 ((~(v84(constB70, 2) <=> v84(constB69, 2))) | v84(constB70, 2)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5684, 5521])).
% 217.85/140.40 tff(5686,plain,
% 217.85/140.40 (v84(constB70, 2)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5685, 5683])).
% 217.85/140.40 tff(5687,plain,
% 217.85/140.40 ((~(v84(constB71, 2) <=> v84(constB70, 2))) | v84(constB71, 2) | (~v84(constB70, 2))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5688,plain,
% 217.85/140.40 ((~(v84(constB71, 2) <=> v84(constB70, 2))) | v84(constB71, 2)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5687, 5686])).
% 217.85/140.40 tff(5689,plain,
% 217.85/140.40 (v84(constB71, 2)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5688, 5227])).
% 217.85/140.40 tff(5690,plain,
% 217.85/140.40 ((v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))) | (~v84(constB71, 2))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5691,plain,
% 217.85/140.40 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5690, 5689])).
% 217.85/140.40 tff(5692,plain,
% 217.85/140.40 ((~(v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (~v114(constB71)) | (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5693,plain,
% 217.85/140.40 ((~(v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (~v114(constB71))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5692, 5691])).
% 217.85/140.40 tff(5694,plain,
% 217.85/140.40 (~v114(constB71)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5693, 5184])).
% 217.85/140.40 tff(5695,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5696,plain,
% 217.85/140.40 (v113(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5695, 597])).
% 217.85/140.40 tff(5697,plain,
% 217.85/140.40 ((v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)) | (~v84(constB71, 2))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5698,plain,
% 217.85/140.40 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5697, 5689])).
% 217.85/140.40 tff(5699,plain,
% 217.85/140.40 ((~(v113(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))))) | (~v113(constB71)) | (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5700,plain,
% 217.85/140.40 ((~(v113(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))))) | (~v113(constB71))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5699, 5698])).
% 217.85/140.40 tff(5701,plain,
% 217.85/140.40 (~v113(constB71)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5700, 5696])).
% 217.85/140.40 tff(5702,plain,
% 217.85/140.40 ((~(v113(constB71) | v114(constB71))) | v113(constB71) | v114(constB71)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5703,plain,
% 217.85/140.40 (~(v113(constB71) | v114(constB71))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5702, 5701, 5694])).
% 217.85/140.40 tff(5704,plain,
% 217.85/140.40 ((~(v112(constB71) <=> (v113(constB71) | v114(constB71)))) | (~v112(constB71)) | (v113(constB71) | v114(constB71))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5705,plain,
% 217.85/140.40 ((~(v112(constB71) <=> (v113(constB71) | v114(constB71)))) | (~v112(constB71))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5704, 5703])).
% 217.85/140.40 tff(5706,plain,
% 217.85/140.40 (~v112(constB71)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5705, 5182])).
% 217.85/140.40 tff(5707,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)))))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5708,plain,
% 217.85/140.40 ((v115(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 2) | (~v84(constB71, 1))))) <=> (v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5709,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 2) | (~v84(constB71, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)))))),
% 217.85/140.40 inference(monotonicity,[status(thm)],[5708])).
% 217.85/140.40 tff(5710,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 2) | (~v84(constB71, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)))))),
% 217.85/140.40 inference(transitivity,[status(thm)],[5709, 5707])).
% 217.85/140.40 tff(5711,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 2) | (~v84(constB71, 1)))))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5712,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))),
% 217.85/140.40 inference(modus_ponens,[status(thm)],[5711, 5710])).
% 217.85/140.40 tff(5713,plain,
% 217.85/140.40 (v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5712, 622])).
% 217.85/140.40 tff(5714,plain,
% 217.85/140.40 ((v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)) | (~v84(constB71, 2))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5715,plain,
% 217.85/140.40 (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5714, 5689])).
% 217.85/140.40 tff(5716,plain,
% 217.85/140.40 ((~(v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))) | (~v115(constB71)) | (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5717,plain,
% 217.85/140.40 ((~(v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))) | (~v115(constB71))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5716, 5715])).
% 217.85/140.40 tff(5718,plain,
% 217.85/140.40 (~v115(constB71)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5717, 5713])).
% 217.85/140.40 tff(5719,plain,
% 217.85/140.40 ((~(v112(constB71) | v115(constB71))) | v112(constB71) | v115(constB71)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5720,plain,
% 217.85/140.40 ((~(v112(constB71) | v115(constB71))) | v112(constB71)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5719, 5718])).
% 217.85/140.40 tff(5721,plain,
% 217.85/140.40 (~(v112(constB71) | v115(constB71))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5720, 5706])).
% 217.85/140.40 tff(5722,plain,
% 217.85/140.40 ((~(v111(constB71) <=> (v112(constB71) | v115(constB71)))) | (~v111(constB71)) | (v112(constB71) | v115(constB71))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5723,plain,
% 217.85/140.40 (~v111(constB71)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5722, 5721, 5180])).
% 217.85/140.40 tff(5724,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))))))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5725,plain,
% 217.85/140.40 ((v116(constB71) <=> (~(v84(constB71, 2) | (~v84(constB71, 1)) | (~v84(constB71, 0))))) <=> (v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5726,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB71) <=> (~(v84(constB71, 2) | (~v84(constB71, 1)) | (~v84(constB71, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))))))),
% 217.85/140.40 inference(monotonicity,[status(thm)],[5725])).
% 217.85/140.40 tff(5727,plain,
% 217.85/140.40 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB71) <=> (~(v84(constB71, 2) | (~v84(constB71, 1)) | (~v84(constB71, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))))))),
% 217.85/140.40 inference(transitivity,[status(thm)],[5726, 5724])).
% 217.85/140.40 tff(5728,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB71) <=> (~(v84(constB71, 2) | (~v84(constB71, 1)) | (~v84(constB71, 0)))))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5729,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))))),
% 217.85/140.40 inference(modus_ponens,[status(thm)],[5728, 5727])).
% 217.85/140.40 tff(5730,plain,
% 217.85/140.40 (v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5729, 521])).
% 217.85/140.40 tff(5731,plain,
% 217.85/140.40 (((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))) | (~v84(constB71, 2))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5732,plain,
% 217.85/140.40 ((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5731, 5689])).
% 217.85/140.40 tff(5733,plain,
% 217.85/140.40 ((~(v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (~v116(constB71)) | (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5734,plain,
% 217.85/140.40 ((~(v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (~v116(constB71))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5733, 5732])).
% 217.85/140.40 tff(5735,plain,
% 217.85/140.40 (~v116(constB71)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5734, 5730])).
% 217.85/140.40 tff(5736,plain,
% 217.85/140.40 ((~(v111(constB71) | v116(constB71))) | v111(constB71) | v116(constB71)),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5737,plain,
% 217.85/140.40 ((~(v111(constB71) | v116(constB71))) | v111(constB71)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5736, 5735])).
% 217.85/140.40 tff(5738,plain,
% 217.85/140.40 (~(v111(constB71) | v116(constB71))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5737, 5723])).
% 217.85/140.40 tff(5739,plain,
% 217.85/140.40 ((~(v110(constB71) <=> (v111(constB71) | v116(constB71)))) | (~v110(constB71)) | (v111(constB71) | v116(constB71))),
% 217.85/140.40 inference(tautology,[status(thm)],[])).
% 217.85/140.40 tff(5740,plain,
% 217.85/140.40 (~v110(constB71)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5739, 5738, 5178])).
% 217.85/140.40 tff(5741,plain,
% 217.85/140.40 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5742,plain,
% 217.85/140.40 (v117(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))))),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5741, 656])).
% 217.85/140.40 tff(5743,plain,
% 217.85/140.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 0) <=> v84(constB70, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 0) <=> v84(constB70, 0)))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5744,plain,
% 217.85/140.40 (($false | $false | (v84(constB71, 0) <=> v84(constB70, 0))) <=> (v84(constB71, 0) <=> v84(constB70, 0))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5745,plain,
% 217.85/140.40 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB71, 0) <=> v84(constB70, 0))) <=> ($false | $false | (v84(constB71, 0) <=> v84(constB70, 0)))),
% 217.85/140.40 inference(monotonicity,[status(thm)],[250, 249])).
% 217.85/140.40 tff(5746,plain,
% 217.85/140.40 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB71, 0) <=> v84(constB70, 0))) <=> (v84(constB71, 0) <=> v84(constB70, 0))),
% 217.85/140.40 inference(transitivity,[status(thm)],[5745, 5744])).
% 217.85/140.40 tff(5747,plain,
% 217.85/140.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB71, 0) <=> v84(constB70, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 0) <=> v84(constB70, 0)))),
% 217.85/140.40 inference(monotonicity,[status(thm)],[5746])).
% 217.85/140.40 tff(5748,plain,
% 217.85/140.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB71, 0) <=> v84(constB70, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 0) <=> v84(constB70, 0)))),
% 217.85/140.40 inference(transitivity,[status(thm)],[5747, 5743])).
% 217.85/140.40 tff(5749,plain,
% 217.85/140.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB71, 0) <=> v84(constB70, 0)))),
% 217.85/140.40 inference(quant_inst,[status(thm)],[])).
% 217.85/140.40 tff(5750,plain,
% 217.85/140.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 0) <=> v84(constB70, 0))),
% 217.85/140.40 inference(modus_ponens,[status(thm)],[5749, 5748])).
% 217.85/140.40 tff(5751,plain,
% 217.85/140.40 (v84(constB71, 0) <=> v84(constB70, 0)),
% 217.85/140.40 inference(unit_resolution,[status(thm)],[5750, 5218])).
% 217.85/140.40 tff(5752,plain,
% 217.85/140.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 0) <=> v84(constB69, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 0) <=> v84(constB69, 0)))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5753,plain,
% 217.85/140.40 (($false | $false | (v84(constB70, 0) <=> v84(constB69, 0))) <=> (v84(constB70, 0) <=> v84(constB69, 0))),
% 217.85/140.40 inference(rewrite,[status(thm)],[])).
% 217.85/140.40 tff(5754,plain,
% 217.85/140.40 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB70, 0) <=> v84(constB69, 0))) <=> ($false | $false | (v84(constB70, 0) <=> v84(constB69, 0)))),
% 217.85/140.40 inference(monotonicity,[status(thm)],[250, 249])).
% 217.85/140.40 tff(5755,plain,
% 217.85/140.40 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB70, 0) <=> v84(constB69, 0))) <=> (v84(constB70, 0) <=> v84(constB69, 0))),
% 217.85/140.40 inference(transitivity,[status(thm)],[5754, 5753])).
% 217.85/140.40 tff(5756,plain,
% 217.85/140.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB70, 0) <=> v84(constB69, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 0) <=> v84(constB69, 0)))),
% 217.85/140.40 inference(monotonicity,[status(thm)],[5755])).
% 217.85/140.40 tff(5757,plain,
% 217.85/140.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB70, 0) <=> v84(constB69, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 0) <=> v84(constB69, 0)))),
% 217.85/140.41 inference(transitivity,[status(thm)],[5756, 5752])).
% 217.85/140.41 tff(5758,plain,
% 217.85/140.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB70, 0) <=> v84(constB69, 0)))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5759,plain,
% 217.85/140.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 0) <=> v84(constB69, 0))),
% 217.85/140.41 inference(modus_ponens,[status(thm)],[5758, 5757])).
% 217.85/140.41 tff(5760,plain,
% 217.85/140.41 (v84(constB70, 0) <=> v84(constB69, 0)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5759, 5674])).
% 217.85/140.41 tff(5761,plain,
% 217.85/140.41 ((~(v84(constB70, 0) <=> v84(constB69, 0))) | v84(constB70, 0) | (~v84(constB69, 0))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5762,plain,
% 217.85/140.41 ((~(v84(constB70, 0) <=> v84(constB69, 0))) | v84(constB70, 0)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5761, 5480])).
% 217.85/140.41 tff(5763,plain,
% 217.85/140.41 (v84(constB70, 0)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5762, 5760])).
% 217.85/140.41 tff(5764,plain,
% 217.85/140.41 ((~(v84(constB71, 0) <=> v84(constB70, 0))) | v84(constB71, 0) | (~v84(constB70, 0))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5765,plain,
% 217.85/140.41 ((~(v84(constB71, 0) <=> v84(constB70, 0))) | v84(constB71, 0)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5764, 5763])).
% 217.85/140.41 tff(5766,plain,
% 217.85/140.41 (v84(constB71, 0)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5765, 5751])).
% 217.85/140.41 tff(5767,plain,
% 217.85/140.41 ((v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))) | (~v84(constB71, 0))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5768,plain,
% 217.85/140.41 (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5767, 5766])).
% 217.85/140.41 tff(5769,plain,
% 217.85/140.41 ((~(v117(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))))) | (~v117(constB71)) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5770,plain,
% 217.85/140.41 ((~(v117(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))))) | (~v117(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5769, 5768])).
% 217.85/140.41 tff(5771,plain,
% 217.85/140.41 (~v117(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5770, 5742])).
% 217.85/140.41 tff(5772,plain,
% 217.85/140.41 ((~(v110(constB71) | v117(constB71))) | v110(constB71) | v117(constB71)),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5773,plain,
% 217.85/140.41 ((~(v110(constB71) | v117(constB71))) | v110(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5772, 5771])).
% 217.85/140.41 tff(5774,plain,
% 217.85/140.41 (~(v110(constB71) | v117(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5773, 5740])).
% 217.85/140.41 tff(5775,plain,
% 217.85/140.41 ((~(v109(constB71) <=> (v110(constB71) | v117(constB71)))) | (~v109(constB71)) | (v110(constB71) | v117(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5776,plain,
% 217.85/140.41 (~v109(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5775, 5774, 5176])).
% 217.85/140.41 tff(5777,plain,
% 217.85/140.41 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))))))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5778,plain,
% 217.85/140.41 ((v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 0)) | (~v84(constB71, 2))))) <=> (v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5779,plain,
% 217.85/140.41 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 0)) | (~v84(constB71, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))))))),
% 217.85/140.41 inference(monotonicity,[status(thm)],[5778])).
% 217.85/140.41 tff(5780,plain,
% 217.85/140.41 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 0)) | (~v84(constB71, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))))))),
% 217.85/140.41 inference(transitivity,[status(thm)],[5779, 5777])).
% 217.85/140.41 tff(5781,plain,
% 217.85/140.41 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 0)) | (~v84(constB71, 2)))))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5782,plain,
% 217.85/140.41 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))))),
% 217.85/140.41 inference(modus_ponens,[status(thm)],[5781, 5780])).
% 217.85/140.41 tff(5783,plain,
% 217.85/140.41 (v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5782, 394])).
% 217.85/140.41 tff(5784,plain,
% 217.85/140.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 1) <=> v84(constB70, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 1) <=> v84(constB70, 1)))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5785,plain,
% 217.85/140.41 (($false | $false | (v84(constB71, 1) <=> v84(constB70, 1))) <=> (v84(constB71, 1) <=> v84(constB70, 1))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5786,plain,
% 217.85/140.41 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB71, 1) <=> v84(constB70, 1))) <=> ($false | $false | (v84(constB71, 1) <=> v84(constB70, 1)))),
% 217.85/140.41 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.41 tff(5787,plain,
% 217.85/140.41 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB71, 1) <=> v84(constB70, 1))) <=> (v84(constB71, 1) <=> v84(constB70, 1))),
% 217.85/140.41 inference(transitivity,[status(thm)],[5786, 5785])).
% 217.85/140.41 tff(5788,plain,
% 217.85/140.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB71, 1) <=> v84(constB70, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 1) <=> v84(constB70, 1)))),
% 217.85/140.41 inference(monotonicity,[status(thm)],[5787])).
% 217.85/140.41 tff(5789,plain,
% 217.85/140.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB71, 1) <=> v84(constB70, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 1) <=> v84(constB70, 1)))),
% 217.85/140.41 inference(transitivity,[status(thm)],[5788, 5784])).
% 217.85/140.41 tff(5790,plain,
% 217.85/140.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB71, 1) <=> v84(constB70, 1)))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5791,plain,
% 217.85/140.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB71, B) <=> v84(constB70, B)))) | (v84(constB71, 1) <=> v84(constB70, 1))),
% 217.85/140.41 inference(modus_ponens,[status(thm)],[5790, 5789])).
% 217.85/140.41 tff(5792,plain,
% 217.85/140.41 (v84(constB71, 1) <=> v84(constB70, 1)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5791, 5218])).
% 217.85/140.41 tff(5793,plain,
% 217.85/140.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 1) <=> v84(constB69, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 1) <=> v84(constB69, 1)))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5794,plain,
% 217.85/140.41 (($false | $false | (v84(constB70, 1) <=> v84(constB69, 1))) <=> (v84(constB70, 1) <=> v84(constB69, 1))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5795,plain,
% 217.85/140.41 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB70, 1) <=> v84(constB69, 1))) <=> ($false | $false | (v84(constB70, 1) <=> v84(constB69, 1)))),
% 217.85/140.41 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.41 tff(5796,plain,
% 217.85/140.41 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB70, 1) <=> v84(constB69, 1))) <=> (v84(constB70, 1) <=> v84(constB69, 1))),
% 217.85/140.41 inference(transitivity,[status(thm)],[5795, 5794])).
% 217.85/140.41 tff(5797,plain,
% 217.85/140.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB70, 1) <=> v84(constB69, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 1) <=> v84(constB69, 1)))),
% 217.85/140.41 inference(monotonicity,[status(thm)],[5796])).
% 217.85/140.41 tff(5798,plain,
% 217.85/140.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB70, 1) <=> v84(constB69, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 1) <=> v84(constB69, 1)))),
% 217.85/140.41 inference(transitivity,[status(thm)],[5797, 5793])).
% 217.85/140.41 tff(5799,plain,
% 217.85/140.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB70, 1) <=> v84(constB69, 1)))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5800,plain,
% 217.85/140.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))) | (v84(constB70, 1) <=> v84(constB69, 1))),
% 217.85/140.41 inference(modus_ponens,[status(thm)],[5799, 5798])).
% 217.85/140.41 tff(5801,plain,
% 217.85/140.41 (v84(constB70, 1) <=> v84(constB69, 1)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5800, 5674])).
% 217.85/140.41 tff(5802,plain,
% 217.85/140.41 ((~(v84(constB70, 1) <=> v84(constB69, 1))) | v84(constB70, 1) | (~v84(constB69, 1))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5803,plain,
% 217.85/140.41 ((~(v84(constB70, 1) <=> v84(constB69, 1))) | v84(constB70, 1)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5802, 5556])).
% 217.85/140.41 tff(5804,plain,
% 217.85/140.41 (v84(constB70, 1)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5803, 5801])).
% 217.85/140.41 tff(5805,plain,
% 217.85/140.41 ((~(v84(constB71, 1) <=> v84(constB70, 1))) | v84(constB71, 1) | (~v84(constB70, 1))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5806,plain,
% 217.85/140.41 ((~(v84(constB71, 1) <=> v84(constB70, 1))) | v84(constB71, 1)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5805, 5804])).
% 217.85/140.41 tff(5807,plain,
% 217.85/140.41 (v84(constB71, 1)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5806, 5792])).
% 217.85/140.41 tff(5808,plain,
% 217.85/140.41 ((v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))) | (~v84(constB71, 1))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5809,plain,
% 217.85/140.41 (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5808, 5807])).
% 217.85/140.41 tff(5810,plain,
% 217.85/140.41 ((~(v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))))) | (~v118(constB71)) | (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5811,plain,
% 217.85/140.41 ((~(v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))))) | (~v118(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5810, 5809])).
% 217.85/140.41 tff(5812,plain,
% 217.85/140.41 (~v118(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5811, 5783])).
% 217.85/140.41 tff(5813,plain,
% 217.85/140.41 ((~(v109(constB71) | v118(constB71))) | v109(constB71) | v118(constB71)),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5814,plain,
% 217.85/140.41 ((~(v109(constB71) | v118(constB71))) | v109(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5813, 5812])).
% 217.85/140.41 tff(5815,plain,
% 217.85/140.41 (~(v109(constB71) | v118(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5814, 5776])).
% 217.85/140.41 tff(5816,plain,
% 217.85/140.41 ((~(v108(constB71) <=> (v109(constB71) | v118(constB71)))) | (~v108(constB71)) | (v109(constB71) | v118(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5817,plain,
% 217.85/140.41 (~v108(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5816, 5815, 5174])).
% 217.85/140.41 tff(5818,plain,
% 217.85/140.41 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5819,plain,
% 217.85/140.41 (v119(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5818, 318])).
% 217.85/140.41 tff(5820,plain,
% 217.85/140.41 ((v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))) | (~v84(constB71, 0))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5821,plain,
% 217.85/140.41 (v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5820, 5766])).
% 217.85/140.41 tff(5822,plain,
% 217.85/140.41 ((~(v119(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))))) | (~v119(constB71)) | (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5823,plain,
% 217.85/140.41 ((~(v119(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))))) | (~v119(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5822, 5821])).
% 217.85/140.41 tff(5824,plain,
% 217.85/140.41 (~v119(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5823, 5819])).
% 217.85/140.41 tff(5825,plain,
% 217.85/140.41 ((~(v108(constB71) | v119(constB71))) | v108(constB71) | v119(constB71)),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5826,plain,
% 217.85/140.41 ((~(v108(constB71) | v119(constB71))) | v108(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5825, 5824])).
% 217.85/140.41 tff(5827,plain,
% 217.85/140.41 (~(v108(constB71) | v119(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5826, 5817])).
% 217.85/140.41 tff(5828,plain,
% 217.85/140.41 ((~(v107(constB71) <=> (v108(constB71) | v119(constB71)))) | (~v107(constB71)) | (v108(constB71) | v119(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5829,plain,
% 217.85/140.41 (~v107(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5828, 5827, 5172])).
% 217.85/140.41 tff(5830,plain,
% 217.85/140.41 (((~v107(constB71)) | (~v120(constB71))) | v107(constB71)),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5831,plain,
% 217.85/140.41 ((~v107(constB71)) | (~v120(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5830, 5829])).
% 217.85/140.41 tff(5832,plain,
% 217.85/140.41 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB71) <=> (~((~v107(constB71)) | (~v120(constB71)))))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5833,plain,
% 217.85/140.41 (v106(constB71) <=> (~((~v107(constB71)) | (~v120(constB71))))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5832, 132])).
% 217.85/140.41 tff(5834,plain,
% 217.85/140.41 ((~(v106(constB71) <=> (~((~v107(constB71)) | (~v120(constB71)))))) | (~v106(constB71)) | (~((~v107(constB71)) | (~v120(constB71))))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5835,plain,
% 217.85/140.41 ((~v106(constB71)) | (~((~v107(constB71)) | (~v120(constB71))))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5834, 5833])).
% 217.85/140.41 tff(5836,plain,
% 217.85/140.41 (~v106(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5835, 5831])).
% 217.85/140.41 tff(5837,plain,
% 217.85/140.41 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB71) <=> v26(constB71))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5838,plain,
% 217.85/140.41 (v105(constB71) <=> v26(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5837, 156])).
% 217.85/140.41 tff(5839,plain,
% 217.85/140.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5840,plain,
% 217.85/140.41 (~v26(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5839, 168])).
% 217.85/140.41 tff(5841,plain,
% 217.85/140.41 ((~(v105(constB71) <=> v26(constB71))) | (~v105(constB71)) | v26(constB71)),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5842,plain,
% 217.85/140.41 ((~(v105(constB71) <=> v26(constB71))) | (~v105(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5841, 5840])).
% 217.85/140.41 tff(5843,plain,
% 217.85/140.41 (~v105(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5842, 5838])).
% 217.85/140.41 tff(5844,plain,
% 217.85/140.41 ((~(v105(constB71) | v106(constB71))) | v105(constB71) | v106(constB71)),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5845,plain,
% 217.85/140.41 ((~(v105(constB71) | v106(constB71))) | v106(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5844, 5843])).
% 217.85/140.41 tff(5846,plain,
% 217.85/140.41 (~(v105(constB71) | v106(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5845, 5836])).
% 217.85/140.41 tff(5847,plain,
% 217.85/140.41 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB71) <=> (v105(constB71) | v106(constB71)))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5848,plain,
% 217.85/140.41 (v102(constB71) <=> (v105(constB71) | v106(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5847, 115])).
% 217.85/140.41 tff(5849,plain,
% 217.85/140.41 ((~(v102(constB71) <=> (v105(constB71) | v106(constB71)))) | (~v102(constB71)) | (v105(constB71) | v106(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5850,plain,
% 217.85/140.41 ((~v102(constB71)) | (v105(constB71) | v106(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5849, 5848])).
% 217.85/140.41 tff(5851,plain,
% 217.85/140.41 (~v102(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5850, 5846])).
% 217.85/140.41 tff(5852,plain,
% 217.85/140.41 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5853,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71')).
% 217.85/140.41 tff(5854,plain,
% 217.85/140.41 (nextState(constB71, constB72)),
% 217.85/140.41 inference(modus_ponens,[status(thm)],[5853, 5852])).
% 217.85/140.41 tff(5855,plain,
% 217.85/140.41 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71)))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5856,plain,
% 217.85/140.41 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71)))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5857,plain,
% 217.85/140.41 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71))),
% 217.85/140.41 inference(modus_ponens,[status(thm)],[5856, 5855])).
% 217.85/140.41 tff(5858,plain,
% 217.85/140.41 (v104(constB72) <=> v102(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5857, 5854, 101])).
% 217.85/140.41 tff(5859,plain,
% 217.85/140.41 ((~(v104(constB72) <=> v102(constB71))) | (~v104(constB72)) | v102(constB71)),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5860,plain,
% 217.85/140.41 ((~v104(constB72)) | v102(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5859, 5858])).
% 217.85/140.41 tff(5861,plain,
% 217.85/140.41 (~v104(constB72)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5860, 5851])).
% 217.85/140.41 tff(5862,plain,
% 217.85/140.41 (((~v95(constB72)) | (~v104(constB72))) | v104(constB72)),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5863,plain,
% 217.85/140.41 ((~v95(constB72)) | (~v104(constB72))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5862, 5861])).
% 217.85/140.41 tff(5864,plain,
% 217.85/140.41 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72))))))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5865,plain,
% 217.85/140.41 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72))))))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5866,plain,
% 217.85/140.41 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72)))))),
% 217.85/140.41 inference(modus_ponens,[status(thm)],[5865, 5864])).
% 217.85/140.41 tff(5867,plain,
% 217.85/140.41 (v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72))))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5866, 5854, 14])).
% 217.85/140.41 tff(5868,plain,
% 217.85/140.41 ((~(v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72)))))) | (~v94(constB72)) | (~((~v95(constB72)) | (~v104(constB72))))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5869,plain,
% 217.85/140.41 ((~v94(constB72)) | (~((~v95(constB72)) | (~v104(constB72))))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5868, 5867])).
% 217.85/140.41 tff(5870,plain,
% 217.85/140.41 (~v94(constB72)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5869, 5863])).
% 217.85/140.41 tff(5871,plain,
% 217.85/140.41 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB72) | (~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB72) | (~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B))))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5872,plain,
% 217.85/140.41 ((v94(constB72) | (~nextState(constB71, constB72)) | ![B: $int] : ((v84(constB72, B) <=> v84(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB72) | (~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B))))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5873,plain,
% 217.85/140.41 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB72) | (~nextState(constB71, constB72)) | ![B: $int] : ((v84(constB72, B) <=> v84(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB72) | (~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))))),
% 217.85/140.41 inference(monotonicity,[status(thm)],[5872])).
% 217.85/140.41 tff(5874,plain,
% 217.85/140.41 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB72) | (~nextState(constB71, constB72)) | ![B: $int] : ((v84(constB72, B) <=> v84(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB72) | (~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B))))),
% 217.85/140.41 inference(transitivity,[status(thm)],[5873, 5871])).
% 217.85/140.41 tff(5875,plain,
% 217.85/140.41 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB72) | (~nextState(constB71, constB72)) | ![B: $int] : ((v84(constB72, B) <=> v84(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5876,plain,
% 217.85/140.41 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB72) | (~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))),
% 217.85/140.41 inference(modus_ponens,[status(thm)],[5875, 5874])).
% 217.85/140.41 tff(5877,plain,
% 217.85/140.41 (v94(constB72) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5876, 5854, 235])).
% 217.85/140.41 tff(5878,plain,
% 217.85/140.41 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5877, 5870])).
% 217.85/140.41 tff(5879,plain,
% 217.85/140.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 0) <=> v84(constB71, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 0) <=> v84(constB71, 0)))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5880,plain,
% 217.85/140.41 (($false | $false | (v84(constB72, 0) <=> v84(constB71, 0))) <=> (v84(constB72, 0) <=> v84(constB71, 0))),
% 217.85/140.41 inference(rewrite,[status(thm)],[])).
% 217.85/140.41 tff(5881,plain,
% 217.85/140.41 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB72, 0) <=> v84(constB71, 0))) <=> ($false | $false | (v84(constB72, 0) <=> v84(constB71, 0)))),
% 217.85/140.41 inference(monotonicity,[status(thm)],[250, 249])).
% 217.85/140.41 tff(5882,plain,
% 217.85/140.41 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB72, 0) <=> v84(constB71, 0))) <=> (v84(constB72, 0) <=> v84(constB71, 0))),
% 217.85/140.41 inference(transitivity,[status(thm)],[5881, 5880])).
% 217.85/140.41 tff(5883,plain,
% 217.85/140.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB72, 0) <=> v84(constB71, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 0) <=> v84(constB71, 0)))),
% 217.85/140.41 inference(monotonicity,[status(thm)],[5882])).
% 217.85/140.41 tff(5884,plain,
% 217.85/140.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB72, 0) <=> v84(constB71, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 0) <=> v84(constB71, 0)))),
% 217.85/140.41 inference(transitivity,[status(thm)],[5883, 5879])).
% 217.85/140.41 tff(5885,plain,
% 217.85/140.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB72, 0) <=> v84(constB71, 0)))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5886,plain,
% 217.85/140.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 0) <=> v84(constB71, 0))),
% 217.85/140.41 inference(modus_ponens,[status(thm)],[5885, 5884])).
% 217.85/140.41 tff(5887,plain,
% 217.85/140.41 (v84(constB72, 0) <=> v84(constB71, 0)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5886, 5878])).
% 217.85/140.41 tff(5888,plain,
% 217.85/140.41 ((~(v84(constB72, 0) <=> v84(constB71, 0))) | v84(constB72, 0) | (~v84(constB71, 0))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5889,plain,
% 217.85/140.41 ((~(v84(constB72, 0) <=> v84(constB71, 0))) | v84(constB72, 0)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5888, 5766])).
% 217.85/140.41 tff(5890,plain,
% 217.85/140.41 (v84(constB72, 0)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5889, 5887])).
% 217.85/140.41 tff(5891,plain,
% 217.85/140.41 ((~(v84(constB73, 0) <=> v84(constB72, 0))) | v84(constB73, 0) | (~v84(constB72, 0))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5892,plain,
% 217.85/140.41 ((~(v84(constB73, 0) <=> v84(constB72, 0))) | v84(constB73, 0)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5891, 5890])).
% 217.85/140.41 tff(5893,plain,
% 217.85/140.41 (v84(constB73, 0)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5892, 5170])).
% 217.85/140.41 tff(5894,plain,
% 217.85/140.41 ((v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))) | (~v84(constB73, 0))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5895,plain,
% 217.85/140.41 (v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5894, 5893])).
% 217.85/140.41 tff(5896,plain,
% 217.85/140.41 ((~(v119(constB73) <=> (~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2)))))) | (~v119(constB73)) | (~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5897,plain,
% 217.85/140.41 ((~(v119(constB73) <=> (~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2)))))) | (~v119(constB73))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5896, 5895])).
% 217.85/140.41 tff(5898,plain,
% 217.85/140.41 (~v119(constB73)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5897, 4041])).
% 217.85/140.41 tff(5899,assumption,(~v84(constB72, 1)), introduced(assumption)).
% 217.85/140.41 tff(5900,assumption,(~v102(constB71)), introduced(assumption)).
% 217.85/140.41 tff(5901,plain,
% 217.85/140.41 ((~(v102(constB71) <=> (v105(constB71) | v106(constB71)))) | v102(constB71) | (~(v105(constB71) | v106(constB71)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5902,plain,
% 217.85/140.41 (v102(constB71) | (~(v105(constB71) | v106(constB71)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5901, 5848])).
% 217.85/140.41 tff(5903,plain,
% 217.85/140.41 (~(v105(constB71) | v106(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5902, 5900])).
% 217.85/140.41 tff(5904,plain,
% 217.85/140.41 ((v105(constB71) | v106(constB71)) | (~v106(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5905,plain,
% 217.85/140.41 (~v106(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5904, 5903])).
% 217.85/140.41 tff(5906,plain,
% 217.85/140.41 ((~(v106(constB71) <=> (~((~v107(constB71)) | (~v120(constB71)))))) | v106(constB71) | ((~v107(constB71)) | (~v120(constB71)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5907,plain,
% 217.85/140.41 (v106(constB71) | ((~v107(constB71)) | (~v120(constB71)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5906, 5833])).
% 217.85/140.41 tff(5908,plain,
% 217.85/140.41 ((~v107(constB71)) | (~v120(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5907, 5905])).
% 217.85/140.41 tff(5909,plain,
% 217.85/140.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB71)) <=> v105(constB71))),
% 217.85/140.41 inference(quant_inst,[status(thm)],[])).
% 217.85/140.41 tff(5910,plain,
% 217.85/140.41 ((~v120(constB71)) <=> v105(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5909, 144])).
% 217.85/140.41 tff(5911,plain,
% 217.85/140.41 ((~((~v120(constB71)) <=> v105(constB71))) | v120(constB71) | v105(constB71)),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5912,plain,
% 217.85/140.41 ((~((~v120(constB71)) <=> v105(constB71))) | v120(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5911, 5843])).
% 217.85/140.41 tff(5913,plain,
% 217.85/140.41 (v120(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5912, 5910])).
% 217.85/140.41 tff(5914,plain,
% 217.85/140.41 ((~((~v107(constB71)) | (~v120(constB71)))) | (~v107(constB71)) | (~v120(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5915,plain,
% 217.85/140.41 ((~((~v107(constB71)) | (~v120(constB71)))) | (~v107(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5914, 5913])).
% 217.85/140.41 tff(5916,plain,
% 217.85/140.41 (~v107(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5915, 5908])).
% 217.85/140.41 tff(5917,plain,
% 217.85/140.41 ((~(v107(constB71) <=> (v108(constB71) | v119(constB71)))) | v107(constB71) | (~(v108(constB71) | v119(constB71)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5918,plain,
% 217.85/140.41 ((~(v107(constB71) <=> (v108(constB71) | v119(constB71)))) | (~(v108(constB71) | v119(constB71)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5917, 5916])).
% 217.85/140.41 tff(5919,plain,
% 217.85/140.41 (~(v108(constB71) | v119(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5918, 5172])).
% 217.85/140.41 tff(5920,plain,
% 217.85/140.41 ((v108(constB71) | v119(constB71)) | (~v108(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5921,plain,
% 217.85/140.41 (~v108(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5920, 5919])).
% 217.85/140.41 tff(5922,plain,
% 217.85/140.41 ((~(v108(constB71) <=> (v109(constB71) | v118(constB71)))) | v108(constB71) | (~(v109(constB71) | v118(constB71)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5923,plain,
% 217.85/140.41 ((~(v108(constB71) <=> (v109(constB71) | v118(constB71)))) | (~(v109(constB71) | v118(constB71)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5922, 5921])).
% 217.85/140.41 tff(5924,plain,
% 217.85/140.41 (~(v109(constB71) | v118(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5923, 5174])).
% 217.85/140.41 tff(5925,plain,
% 217.85/140.41 ((v109(constB71) | v118(constB71)) | (~v109(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5926,plain,
% 217.85/140.41 (~v109(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5925, 5924])).
% 217.85/140.41 tff(5927,plain,
% 217.85/140.41 ((~(v109(constB71) <=> (v110(constB71) | v117(constB71)))) | v109(constB71) | (~(v110(constB71) | v117(constB71)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5928,plain,
% 217.85/140.41 ((~(v109(constB71) <=> (v110(constB71) | v117(constB71)))) | (~(v110(constB71) | v117(constB71)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5927, 5926])).
% 217.85/140.41 tff(5929,plain,
% 217.85/140.41 (~(v110(constB71) | v117(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5928, 5176])).
% 217.85/140.41 tff(5930,plain,
% 217.85/140.41 ((v110(constB71) | v117(constB71)) | (~v110(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5931,plain,
% 217.85/140.41 (~v110(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5930, 5929])).
% 217.85/140.41 tff(5932,plain,
% 217.85/140.41 ((~(v110(constB71) <=> (v111(constB71) | v116(constB71)))) | v110(constB71) | (~(v111(constB71) | v116(constB71)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5933,plain,
% 217.85/140.41 ((~(v110(constB71) <=> (v111(constB71) | v116(constB71)))) | (~(v111(constB71) | v116(constB71)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5932, 5931])).
% 217.85/140.41 tff(5934,plain,
% 217.85/140.41 (~(v111(constB71) | v116(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5933, 5178])).
% 217.85/140.41 tff(5935,plain,
% 217.85/140.41 ((v111(constB71) | v116(constB71)) | (~v111(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5936,plain,
% 217.85/140.41 (~v111(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5935, 5934])).
% 217.85/140.41 tff(5937,plain,
% 217.85/140.41 ((~(v111(constB71) <=> (v112(constB71) | v115(constB71)))) | v111(constB71) | (~(v112(constB71) | v115(constB71)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5938,plain,
% 217.85/140.41 ((~(v111(constB71) <=> (v112(constB71) | v115(constB71)))) | (~(v112(constB71) | v115(constB71)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5937, 5936])).
% 217.85/140.41 tff(5939,plain,
% 217.85/140.41 (~(v112(constB71) | v115(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5938, 5180])).
% 217.85/140.41 tff(5940,plain,
% 217.85/140.41 ((v112(constB71) | v115(constB71)) | (~v112(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5941,plain,
% 217.85/140.41 (~v112(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5940, 5939])).
% 217.85/140.41 tff(5942,plain,
% 217.85/140.41 ((~(v112(constB71) <=> (v113(constB71) | v114(constB71)))) | v112(constB71) | (~(v113(constB71) | v114(constB71)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5943,plain,
% 217.85/140.41 ((~(v112(constB71) <=> (v113(constB71) | v114(constB71)))) | (~(v113(constB71) | v114(constB71)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5942, 5941])).
% 217.85/140.41 tff(5944,plain,
% 217.85/140.41 (~(v113(constB71) | v114(constB71))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5943, 5182])).
% 217.85/140.41 tff(5945,plain,
% 217.85/140.41 ((v113(constB71) | v114(constB71)) | (~v114(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5946,plain,
% 217.85/140.41 (~v114(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5945, 5944])).
% 217.85/140.41 tff(5947,plain,
% 217.85/140.41 ((~(v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))) | v114(constB71) | (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5948,plain,
% 217.85/140.41 ((~(v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5947, 5946])).
% 217.85/140.41 tff(5949,plain,
% 217.85/140.41 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5948, 5184])).
% 217.85/140.41 tff(5950,plain,
% 217.85/140.41 ((v109(constB71) | v118(constB71)) | (~v118(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5951,plain,
% 217.85/140.41 (~v118(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5950, 5924])).
% 217.85/140.41 tff(5952,plain,
% 217.85/140.41 ((~(v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))))) | v118(constB71) | (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5953,plain,
% 217.85/140.41 ((~(v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))))) | (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5952, 5951])).
% 217.85/140.41 tff(5954,plain,
% 217.85/140.41 (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5953, 5783])).
% 217.85/140.41 tff(5955,plain,
% 217.85/140.41 ((v112(constB71) | v115(constB71)) | (~v115(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5956,plain,
% 217.85/140.41 (~v115(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5955, 5939])).
% 217.85/140.41 tff(5957,plain,
% 217.85/140.41 ((~(v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))) | v115(constB71) | (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5958,plain,
% 217.85/140.41 ((~(v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))) | (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5957, 5956])).
% 217.85/140.41 tff(5959,plain,
% 217.85/140.41 (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5958, 5713])).
% 217.85/140.41 tff(5960,plain,
% 217.85/140.41 ((v108(constB71) | v119(constB71)) | (~v119(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5961,plain,
% 217.85/140.41 (~v119(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5960, 5919])).
% 217.85/140.41 tff(5962,plain,
% 217.85/140.41 ((~(v119(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))))) | v119(constB71) | (v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5963,plain,
% 217.85/140.41 ((~(v119(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))))) | (v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5962, 5961])).
% 217.85/140.41 tff(5964,plain,
% 217.85/140.41 (v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5963, 5819])).
% 217.85/140.41 tff(5965,plain,
% 217.85/140.41 ((v110(constB71) | v117(constB71)) | (~v117(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5966,plain,
% 217.85/140.41 (~v117(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5965, 5929])).
% 217.85/140.41 tff(5967,plain,
% 217.85/140.41 ((~(v117(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))))) | v117(constB71) | (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5968,plain,
% 217.85/140.41 ((~(v117(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))))) | (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5967, 5966])).
% 217.85/140.41 tff(5969,plain,
% 217.85/140.41 (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5968, 5742])).
% 217.85/140.41 tff(5970,plain,
% 217.85/140.41 ((v113(constB71) | v114(constB71)) | (~v113(constB71))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5971,plain,
% 217.85/140.41 (~v113(constB71)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5970, 5944])).
% 217.85/140.41 tff(5972,plain,
% 217.85/140.41 ((~(v113(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))))) | v113(constB71) | (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))),
% 217.85/140.41 inference(tautology,[status(thm)],[])).
% 217.85/140.41 tff(5973,plain,
% 217.85/140.41 ((~(v113(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))))) | (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5972, 5971])).
% 217.85/140.41 tff(5974,plain,
% 217.85/140.41 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 217.85/140.41 inference(unit_resolution,[status(thm)],[5973, 5696])).
% 217.85/140.41 tff(5975,assumption,(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)), introduced(assumption)).
% 217.85/140.41 tff(5976,assumption,(~v84(constB71, 0)), introduced(assumption)).
% 217.85/140.41 tff(5977,assumption,(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))), introduced(assumption)).
% 217.85/140.42 tff(5978,assumption,(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)), introduced(assumption)).
% 217.85/140.42 tff(5979,assumption,(~v84(constB71, 1)), introduced(assumption)).
% 217.85/140.42 tff(5980,plain,
% 217.85/140.42 ((~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))) | v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(5981,plain,
% 217.85/140.42 (~v84(constB71, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5980, 5979, 5976, 5977])).
% 217.85/140.42 tff(5982,plain,
% 217.85/140.42 ((~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))) | v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(5983,plain,
% 217.85/140.42 ($false),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5982, 5981, 5979, 5976, 5978])).
% 217.85/140.42 tff(5984,plain,(v84(constB71, 1) | v84(constB71, 0) | (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.85/140.42 tff(5985,plain,
% 217.85/140.42 (v84(constB71, 1)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5984, 5976, 5978, 5977])).
% 217.85/140.42 tff(5986,assumption,(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))), introduced(assumption)).
% 217.85/140.42 tff(5987,plain,
% 217.85/140.42 ((~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))) | v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(5988,plain,
% 217.85/140.42 (~v84(constB71, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5987, 5985, 5976, 5986])).
% 217.85/140.42 tff(5989,plain,
% 217.85/140.42 ((~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))) | v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(5990,plain,
% 217.85/140.42 ($false),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5989, 5988, 5985, 5976, 5975])).
% 217.85/140.42 tff(5991,plain,(v84(constB71, 0) | (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))) | (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))) | (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.85/140.42 tff(5992,plain,
% 217.85/140.42 (v84(constB71, 0)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5991, 5974, 5969, 5964, 5959])).
% 217.85/140.42 tff(5993,assumption,(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))), introduced(assumption)).
% 217.85/140.42 tff(5994,assumption,(v84(constB71, 0)), introduced(assumption)).
% 217.85/140.42 tff(5995,assumption,(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))), introduced(assumption)).
% 217.85/140.42 tff(5996,plain,
% 217.85/140.42 ((~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))) | v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(5997,plain,
% 217.85/140.42 (v84(constB71, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5996, 5979, 5994, 5995])).
% 217.85/140.42 tff(5998,plain,
% 217.85/140.42 ((~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))) | v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(5999,plain,
% 217.85/140.42 ($false),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5998, 5997, 5979, 5994, 5993])).
% 217.85/140.42 tff(6000,plain,(v84(constB71, 1) | (~v84(constB71, 0)) | (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))) | (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.85/140.42 tff(6001,plain,
% 217.85/140.42 (v84(constB71, 1)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6000, 5992, 5954, 5949])).
% 217.85/140.42 tff(6002,plain,
% 217.85/140.42 ((~(v84(constB72, 1) <=> v84(constB71, 1))) | v84(constB72, 1) | (~v84(constB71, 1))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6003,plain,
% 217.85/140.42 (~(v84(constB72, 1) <=> v84(constB71, 1))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6002, 6001, 5899])).
% 217.85/140.42 tff(6004,plain,
% 217.85/140.42 (~v104(constB72)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5860, 5900])).
% 217.85/140.42 tff(6005,plain,
% 217.85/140.42 ((~v95(constB72)) | (~v104(constB72))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5862, 6004])).
% 217.85/140.42 tff(6006,plain,
% 217.85/140.42 (~v94(constB72)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5869, 6005])).
% 217.85/140.42 tff(6007,plain,
% 217.85/140.42 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5877, 6006])).
% 217.85/140.42 tff(6008,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 1) <=> v84(constB71, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 1) <=> v84(constB71, 1)))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6009,plain,
% 217.85/140.42 (($false | $false | (v84(constB72, 1) <=> v84(constB71, 1))) <=> (v84(constB72, 1) <=> v84(constB71, 1))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6010,plain,
% 217.85/140.42 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB72, 1) <=> v84(constB71, 1))) <=> ($false | $false | (v84(constB72, 1) <=> v84(constB71, 1)))),
% 217.85/140.42 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.42 tff(6011,plain,
% 217.85/140.42 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB72, 1) <=> v84(constB71, 1))) <=> (v84(constB72, 1) <=> v84(constB71, 1))),
% 217.85/140.42 inference(transitivity,[status(thm)],[6010, 6009])).
% 217.85/140.42 tff(6012,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB72, 1) <=> v84(constB71, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 1) <=> v84(constB71, 1)))),
% 217.85/140.42 inference(monotonicity,[status(thm)],[6011])).
% 217.85/140.42 tff(6013,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB72, 1) <=> v84(constB71, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 1) <=> v84(constB71, 1)))),
% 217.85/140.42 inference(transitivity,[status(thm)],[6012, 6008])).
% 217.85/140.42 tff(6014,plain,
% 217.85/140.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB72, 1) <=> v84(constB71, 1)))),
% 217.85/140.42 inference(quant_inst,[status(thm)],[])).
% 217.85/140.42 tff(6015,plain,
% 217.85/140.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 1) <=> v84(constB71, 1))),
% 217.85/140.42 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 217.85/140.42 tff(6016,plain,
% 217.85/140.42 ($false),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6015, 6007, 6003])).
% 217.85/140.42 tff(6017,plain,(v102(constB71) | v84(constB72, 1)), inference(lemma,lemma(discharge,[]))).
% 217.85/140.42 tff(6018,plain,
% 217.85/140.42 (v84(constB72, 1)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6017, 5851])).
% 217.85/140.42 tff(6019,assumption,(~(v84(constB73, 1) <=> v84(constB72, 1))), introduced(assumption)).
% 217.85/140.42 tff(6020,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 1) <=> v84(constB72, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 1) <=> v84(constB72, 1)))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6021,plain,
% 217.85/140.42 (($false | $false | (v84(constB73, 1) <=> v84(constB72, 1))) <=> (v84(constB73, 1) <=> v84(constB72, 1))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6022,plain,
% 217.85/140.42 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB73, 1) <=> v84(constB72, 1))) <=> ($false | $false | (v84(constB73, 1) <=> v84(constB72, 1)))),
% 217.85/140.42 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.42 tff(6023,plain,
% 217.85/140.42 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB73, 1) <=> v84(constB72, 1))) <=> (v84(constB73, 1) <=> v84(constB72, 1))),
% 217.85/140.42 inference(transitivity,[status(thm)],[6022, 6021])).
% 217.85/140.42 tff(6024,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB73, 1) <=> v84(constB72, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 1) <=> v84(constB72, 1)))),
% 217.85/140.42 inference(monotonicity,[status(thm)],[6023])).
% 217.85/140.42 tff(6025,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB73, 1) <=> v84(constB72, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 1) <=> v84(constB72, 1)))),
% 217.85/140.42 inference(transitivity,[status(thm)],[6024, 6020])).
% 217.85/140.42 tff(6026,plain,
% 217.85/140.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB73, 1) <=> v84(constB72, 1)))),
% 217.85/140.42 inference(quant_inst,[status(thm)],[])).
% 217.85/140.42 tff(6027,plain,
% 217.85/140.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 1) <=> v84(constB72, 1))),
% 217.85/140.42 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 217.85/140.42 tff(6028,plain,
% 217.85/140.42 ($false),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6027, 5161, 6019])).
% 217.85/140.42 tff(6029,plain,(v84(constB73, 1) <=> v84(constB72, 1)), inference(lemma,lemma(discharge,[]))).
% 217.85/140.42 tff(6030,plain,
% 217.85/140.42 ((~(v84(constB73, 1) <=> v84(constB72, 1))) | v84(constB73, 1) | (~v84(constB72, 1))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6031,plain,
% 217.85/140.42 (v84(constB73, 1) | (~v84(constB72, 1))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6030, 6029])).
% 217.85/140.42 tff(6032,plain,
% 217.85/140.42 (v84(constB73, 1)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6031, 6018])).
% 217.85/140.42 tff(6033,plain,
% 217.85/140.42 ((v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))) | (~v84(constB73, 1))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6034,plain,
% 217.85/140.42 (v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6033, 6032])).
% 217.85/140.42 tff(6035,plain,
% 217.85/140.42 ((~(v118(constB73) <=> (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))))) | (~v118(constB73)) | (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6036,plain,
% 217.85/140.42 ((~(v118(constB73) <=> (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))))) | (~v118(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6035, 6034])).
% 217.85/140.42 tff(6037,plain,
% 217.85/140.42 (~v118(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6036, 3975])).
% 217.85/140.42 tff(6038,plain,
% 217.85/140.42 ((v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))) | (~v84(constB73, 1))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6039,plain,
% 217.85/140.42 (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6038, 6032])).
% 217.85/140.42 tff(6040,plain,
% 217.85/140.42 ((~(v114(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))))) | (~v114(constB73)) | (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6041,plain,
% 217.85/140.42 ((~(v114(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))))) | (~v114(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6040, 6039])).
% 217.85/140.42 tff(6042,plain,
% 217.85/140.42 (~v114(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6041, 4514])).
% 217.85/140.42 tff(6043,plain,
% 217.85/140.42 ((v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)) | (~v84(constB73, 1))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6044,plain,
% 217.85/140.42 (v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6043, 6032])).
% 217.85/140.42 tff(6045,plain,
% 217.85/140.42 ((~(v113(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))))) | (~v113(constB73)) | (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6046,plain,
% 217.85/140.42 ((~(v113(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))))) | (~v113(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6045, 6044])).
% 217.85/140.42 tff(6047,plain,
% 217.85/140.42 (~v113(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6046, 4013])).
% 217.85/140.42 tff(6048,plain,
% 217.85/140.42 ((~(v113(constB73) | v114(constB73))) | v113(constB73) | v114(constB73)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6049,plain,
% 217.85/140.42 (~(v113(constB73) | v114(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6048, 6047, 6042])).
% 217.85/140.42 tff(6050,plain,
% 217.85/140.42 ((~(v112(constB73) <=> (v113(constB73) | v114(constB73)))) | (~v112(constB73)) | (v113(constB73) | v114(constB73))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6051,plain,
% 217.85/140.42 ((~(v112(constB73) <=> (v113(constB73) | v114(constB73)))) | (~v112(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6050, 6049])).
% 217.85/140.42 tff(6052,plain,
% 217.85/140.42 (~v112(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6051, 4015])).
% 217.85/140.42 tff(6053,plain,
% 217.85/140.42 ((v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))) | (~v84(constB73, 0))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6054,plain,
% 217.85/140.42 (v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6053, 5893])).
% 217.85/140.42 tff(6055,plain,
% 217.85/140.42 ((~(v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))))) | (~v115(constB73)) | (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6056,plain,
% 217.85/140.42 ((~(v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))))) | (~v115(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6055, 6054])).
% 217.85/140.42 tff(6057,plain,
% 217.85/140.42 (~v115(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6056, 4053])).
% 217.85/140.42 tff(6058,plain,
% 217.85/140.42 ((~(v112(constB73) | v115(constB73))) | v112(constB73) | v115(constB73)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6059,plain,
% 217.85/140.42 ((~(v112(constB73) | v115(constB73))) | v112(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6058, 6057])).
% 217.85/140.42 tff(6060,plain,
% 217.85/140.42 (~(v112(constB73) | v115(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6059, 6052])).
% 217.85/140.42 tff(6061,plain,
% 217.85/140.42 ((~(v111(constB73) <=> (v112(constB73) | v115(constB73)))) | (~v111(constB73)) | (v112(constB73) | v115(constB73))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6062,plain,
% 217.85/140.42 (~v111(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6061, 6060, 4017])).
% 217.85/140.42 tff(6063,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 2) <=> v84(constB72, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 2) <=> v84(constB72, 2)))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6064,plain,
% 217.85/140.42 (($false | $false | (v84(constB73, 2) <=> v84(constB72, 2))) <=> (v84(constB73, 2) <=> v84(constB72, 2))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6065,plain,
% 217.85/140.42 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB73, 2) <=> v84(constB72, 2))) <=> ($false | $false | (v84(constB73, 2) <=> v84(constB72, 2)))),
% 217.85/140.42 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.42 tff(6066,plain,
% 217.85/140.42 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB73, 2) <=> v84(constB72, 2))) <=> (v84(constB73, 2) <=> v84(constB72, 2))),
% 217.85/140.42 inference(transitivity,[status(thm)],[6065, 6064])).
% 217.85/140.42 tff(6067,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB73, 2) <=> v84(constB72, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 2) <=> v84(constB72, 2)))),
% 217.85/140.42 inference(monotonicity,[status(thm)],[6066])).
% 217.85/140.42 tff(6068,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB73, 2) <=> v84(constB72, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 2) <=> v84(constB72, 2)))),
% 217.85/140.42 inference(transitivity,[status(thm)],[6067, 6063])).
% 217.85/140.42 tff(6069,plain,
% 217.85/140.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB73, 2) <=> v84(constB72, 2)))),
% 217.85/140.42 inference(quant_inst,[status(thm)],[])).
% 217.85/140.42 tff(6070,plain,
% 217.85/140.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB73, B) <=> v84(constB72, B)))) | (v84(constB73, 2) <=> v84(constB72, 2))),
% 217.85/140.42 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 217.85/140.42 tff(6071,plain,
% 217.85/140.42 (v84(constB73, 2) <=> v84(constB72, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6070, 5161])).
% 217.85/140.42 tff(6072,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 2) <=> v84(constB71, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 2) <=> v84(constB71, 2)))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6073,plain,
% 217.85/140.42 (($false | $false | (v84(constB72, 2) <=> v84(constB71, 2))) <=> (v84(constB72, 2) <=> v84(constB71, 2))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6074,plain,
% 217.85/140.42 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB72, 2) <=> v84(constB71, 2))) <=> ($false | $false | (v84(constB72, 2) <=> v84(constB71, 2)))),
% 217.85/140.42 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.42 tff(6075,plain,
% 217.85/140.42 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB72, 2) <=> v84(constB71, 2))) <=> (v84(constB72, 2) <=> v84(constB71, 2))),
% 217.85/140.42 inference(transitivity,[status(thm)],[6074, 6073])).
% 217.85/140.42 tff(6076,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB72, 2) <=> v84(constB71, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 2) <=> v84(constB71, 2)))),
% 217.85/140.42 inference(monotonicity,[status(thm)],[6075])).
% 217.85/140.42 tff(6077,plain,
% 217.85/140.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB72, 2) <=> v84(constB71, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 2) <=> v84(constB71, 2)))),
% 217.85/140.42 inference(transitivity,[status(thm)],[6076, 6072])).
% 217.85/140.42 tff(6078,plain,
% 217.85/140.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB72, 2) <=> v84(constB71, 2)))),
% 217.85/140.42 inference(quant_inst,[status(thm)],[])).
% 217.85/140.42 tff(6079,plain,
% 217.85/140.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | (v84(constB72, 2) <=> v84(constB71, 2))),
% 217.85/140.42 inference(modus_ponens,[status(thm)],[6078, 6077])).
% 217.85/140.42 tff(6080,plain,
% 217.85/140.42 (v84(constB72, 2) <=> v84(constB71, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6079, 5878])).
% 217.85/140.42 tff(6081,plain,
% 217.85/140.42 ((~(v84(constB72, 2) <=> v84(constB71, 2))) | v84(constB72, 2) | (~v84(constB71, 2))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6082,plain,
% 217.85/140.42 ((~(v84(constB72, 2) <=> v84(constB71, 2))) | v84(constB72, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6081, 5689])).
% 217.85/140.42 tff(6083,plain,
% 217.85/140.42 (v84(constB72, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6082, 6080])).
% 217.85/140.42 tff(6084,plain,
% 217.85/140.42 ((~(v84(constB73, 2) <=> v84(constB72, 2))) | v84(constB73, 2) | (~v84(constB72, 2))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6085,plain,
% 217.85/140.42 ((~(v84(constB73, 2) <=> v84(constB72, 2))) | v84(constB73, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6084, 6083])).
% 217.85/140.42 tff(6086,plain,
% 217.85/140.42 (v84(constB73, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6085, 6071])).
% 217.85/140.42 tff(6087,plain,
% 217.85/140.42 ((v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))) | (~v84(constB73, 2))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6088,plain,
% 217.85/140.42 (v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6087, 6086])).
% 217.85/140.42 tff(6089,plain,
% 217.85/140.42 ((~(v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))))) | (~v116(constB73)) | (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6090,plain,
% 217.85/140.42 ((~(v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))))) | (~v116(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6089, 6088])).
% 217.85/140.42 tff(6091,plain,
% 217.85/140.42 (~v116(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6090, 4084])).
% 217.85/140.42 tff(6092,plain,
% 217.85/140.42 ((~(v111(constB73) | v116(constB73))) | v111(constB73) | v116(constB73)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6093,plain,
% 217.85/140.42 ((~(v111(constB73) | v116(constB73))) | v111(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6092, 6091])).
% 217.85/140.42 tff(6094,plain,
% 217.85/140.42 (~(v111(constB73) | v116(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6093, 6062])).
% 217.85/140.42 tff(6095,plain,
% 217.85/140.42 ((~(v110(constB73) <=> (v111(constB73) | v116(constB73)))) | (~v110(constB73)) | (v111(constB73) | v116(constB73))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6096,plain,
% 217.85/140.42 (~v110(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6095, 6094, 4019])).
% 217.85/140.42 tff(6097,plain,
% 217.85/140.42 ((v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))) | (~v84(constB73, 1))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6098,plain,
% 217.85/140.42 (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6097, 6032])).
% 217.85/140.42 tff(6099,plain,
% 217.85/140.42 ((~(v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))) | (~v117(constB73)) | (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6100,plain,
% 217.85/140.42 ((~(v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))) | (~v117(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6099, 6098])).
% 217.85/140.42 tff(6101,plain,
% 217.85/140.42 (~v117(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6100, 3999])).
% 217.85/140.42 tff(6102,plain,
% 217.85/140.42 ((~(v110(constB73) | v117(constB73))) | v110(constB73) | v117(constB73)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6103,plain,
% 217.85/140.42 ((~(v110(constB73) | v117(constB73))) | v110(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6102, 6101])).
% 217.85/140.42 tff(6104,plain,
% 217.85/140.42 (~(v110(constB73) | v117(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6103, 6096])).
% 217.85/140.42 tff(6105,plain,
% 217.85/140.42 ((~(v109(constB73) <=> (v110(constB73) | v117(constB73)))) | (~v109(constB73)) | (v110(constB73) | v117(constB73))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6106,plain,
% 217.85/140.42 (~v109(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6105, 6104, 4001])).
% 217.85/140.42 tff(6107,plain,
% 217.85/140.42 ((~(v109(constB73) | v118(constB73))) | v109(constB73) | v118(constB73)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6108,plain,
% 217.85/140.42 (~(v109(constB73) | v118(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6107, 6106, 6037])).
% 217.85/140.42 tff(6109,plain,
% 217.85/140.42 ((~(v108(constB73) <=> (v109(constB73) | v118(constB73)))) | (~v108(constB73)) | (v109(constB73) | v118(constB73))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6110,plain,
% 217.85/140.42 ((~v108(constB73)) | (v109(constB73) | v118(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6109, 4540])).
% 217.85/140.42 tff(6111,plain,
% 217.85/140.42 (~v108(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6110, 6108])).
% 217.85/140.42 tff(6112,plain,
% 217.85/140.42 ((~(v108(constB73) | v119(constB73))) | v108(constB73) | v119(constB73)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6113,plain,
% 217.85/140.42 (~(v108(constB73) | v119(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6112, 6111, 5898])).
% 217.85/140.42 tff(6114,plain,
% 217.85/140.42 ((~(v107(constB73) <=> (v108(constB73) | v119(constB73)))) | (~v107(constB73)) | (v108(constB73) | v119(constB73))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6115,plain,
% 217.85/140.42 ((~v107(constB73)) | (v108(constB73) | v119(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6114, 4534])).
% 217.85/140.42 tff(6116,plain,
% 217.85/140.42 (~v107(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6115, 6113])).
% 217.85/140.42 tff(6117,plain,
% 217.85/140.42 ((~v107(constB73)) | (~v120(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[3916, 6116])).
% 217.85/140.42 tff(6118,plain,
% 217.85/140.42 (~v106(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[3921, 6117])).
% 217.85/140.42 tff(6119,plain,
% 217.85/140.42 (~(v105(constB73) | v106(constB73))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[3931, 6118])).
% 217.85/140.42 tff(6120,plain,
% 217.85/140.42 (~v102(constB73)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[3936, 6119])).
% 217.85/140.42 tff(6121,plain,
% 217.85/140.42 (~v104(constB74)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[3946, 6120])).
% 217.85/140.42 tff(6122,plain,
% 217.85/140.42 ((~v95(constB74)) | (~v104(constB74))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[3948, 6121])).
% 217.85/140.42 tff(6123,plain,
% 217.85/140.42 (~v94(constB74)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[3955, 6122])).
% 217.85/140.42 tff(6124,plain,
% 217.85/140.42 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[3963, 6123])).
% 217.85/140.42 tff(6125,plain,
% 217.85/140.42 (v84(constB74, 0) <=> v84(constB73, 0)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4178, 6124])).
% 217.85/140.42 tff(6126,plain,
% 217.85/140.42 ((~(v84(constB74, 0) <=> v84(constB73, 0))) | v84(constB74, 0)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4180, 5893])).
% 217.85/140.42 tff(6127,plain,
% 217.85/140.42 (v84(constB74, 0)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6126, 6125])).
% 217.85/140.42 tff(6128,plain,
% 217.85/140.42 ((~(v84(constB75, 0) <=> v84(constB74, 0))) | v84(constB75, 0)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4183, 6127])).
% 217.85/140.42 tff(6129,plain,
% 217.85/140.42 (v84(constB75, 0)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6128, 4170])).
% 217.85/140.42 tff(6130,plain,
% 217.85/140.42 ((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4245, 6129])).
% 217.85/140.42 tff(6131,plain,
% 217.85/140.42 ((~(v119(constB75) <=> (~((~v84(constB75, 1)) | (~v84(constB75, 2)) | v84(constB75, 0))))) | (~v119(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4247, 6130])).
% 217.85/140.42 tff(6132,plain,
% 217.85/140.42 (~v119(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6131, 4244])).
% 217.85/140.42 tff(6133,plain,
% 217.85/140.42 (v108(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4250, 6132, 5130])).
% 217.85/140.42 tff(6134,plain,
% 217.85/140.42 ((~(v108(constB75) <=> (v109(constB75) | v118(constB75)))) | (v109(constB75) | v118(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4236, 6133])).
% 217.85/140.42 tff(6135,plain,
% 217.85/140.42 (v109(constB75) | v118(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6134, 3865])).
% 217.85/140.42 tff(6136,plain,
% 217.85/140.42 (v84(constB74, 1) <=> v84(constB73, 1)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[3972, 6124])).
% 217.85/140.42 tff(6137,plain,
% 217.85/140.42 ((~(v84(constB74, 1) <=> v84(constB73, 1))) | v84(constB74, 1)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4101, 6032])).
% 217.85/140.42 tff(6138,plain,
% 217.85/140.42 (v84(constB74, 1)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6137, 6136])).
% 217.85/140.42 tff(6139,plain,
% 217.85/140.42 ((~(v84(constB75, 1) <=> v84(constB74, 1))) | v84(constB75, 1)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4104, 6138])).
% 217.85/140.42 tff(6140,plain,
% 217.85/140.42 (v84(constB75, 1)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6139, 3915])).
% 217.85/140.42 tff(6141,plain,
% 217.85/140.42 (v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4107, 6140])).
% 217.85/140.42 tff(6142,plain,
% 217.85/140.42 ((~(v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))) | (~v118(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4109, 6141])).
% 217.85/140.42 tff(6143,plain,
% 217.85/140.42 (~v118(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6142, 3872])).
% 217.85/140.42 tff(6144,plain,
% 217.85/140.42 ((~(v109(constB75) | v118(constB75))) | v109(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4234, 6143])).
% 217.85/140.42 tff(6145,plain,
% 217.85/140.42 (v109(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6144, 6135])).
% 217.85/140.42 tff(6146,plain,
% 217.85/140.42 (v110(constB75) | v117(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4232, 6145, 4112])).
% 217.85/140.42 tff(6147,plain,
% 217.85/140.42 ((v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)) | (~v84(constB75, 1))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6148,plain,
% 217.85/140.42 (v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6147, 6140])).
% 217.85/140.42 tff(6149,plain,
% 217.85/140.42 ((~(v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))))) | (~v117(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4226, 6148])).
% 217.85/140.42 tff(6150,plain,
% 217.85/140.42 (~v117(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6149, 4223])).
% 217.85/140.42 tff(6151,plain,
% 217.85/140.42 ((~(v110(constB75) | v117(constB75))) | v110(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4229, 6150])).
% 217.85/140.42 tff(6152,plain,
% 217.85/140.42 (v110(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6151, 6146])).
% 217.85/140.42 tff(6153,plain,
% 217.85/140.42 ((v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))) | (~v84(constB75, 1))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6154,plain,
% 217.85/140.42 (v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6153, 6140])).
% 217.85/140.42 tff(6155,plain,
% 217.85/140.42 ((~(v114(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))))) | (~v114(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4158, 6154])).
% 217.85/140.42 tff(6156,plain,
% 217.85/140.42 (~v114(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6155, 4155])).
% 217.85/140.42 tff(6157,plain,
% 217.85/140.42 (v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4186, 6129])).
% 217.85/140.42 tff(6158,plain,
% 217.85/140.42 ((~(v113(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))))) | (~v113(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4188, 6157])).
% 217.85/140.42 tff(6159,plain,
% 217.85/140.42 (~v113(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6158, 4161])).
% 217.85/140.42 tff(6160,plain,
% 217.85/140.42 (~(v113(constB75) | v114(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4191, 6159, 6156])).
% 217.85/140.42 tff(6161,plain,
% 217.85/140.42 ((~(v112(constB75) <=> (v113(constB75) | v114(constB75)))) | (~v112(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4194, 6160])).
% 217.85/140.42 tff(6162,plain,
% 217.85/140.42 (~v112(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6161, 4153])).
% 217.85/140.42 tff(6163,plain,
% 217.85/140.42 (v84(constB74, 2) <=> v84(constB73, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4138, 6124])).
% 217.85/140.42 tff(6164,plain,
% 217.85/140.42 ((~(v84(constB74, 2) <=> v84(constB73, 2))) | v84(constB74, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4140, 6086])).
% 217.85/140.42 tff(6165,plain,
% 217.85/140.42 (v84(constB74, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6164, 6163])).
% 217.85/140.42 tff(6166,plain,
% 217.85/140.42 ((~(v84(constB75, 2) <=> v84(constB74, 2))) | v84(constB75, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4143, 6165])).
% 217.85/140.42 tff(6167,plain,
% 217.85/140.42 (v84(constB75, 2)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6166, 4130])).
% 217.85/140.42 tff(6168,plain,
% 217.85/140.42 (((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)) | (~v84(constB75, 2))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6169,plain,
% 217.85/140.42 ((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6168, 6167])).
% 217.85/140.42 tff(6170,plain,
% 217.85/140.42 ((~(v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))))) | (~v115(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4205, 6169])).
% 217.85/140.42 tff(6171,plain,
% 217.85/140.42 (~v115(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6170, 4202])).
% 217.85/140.42 tff(6172,plain,
% 217.85/140.42 ((~(v112(constB75) | v115(constB75))) | v112(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4208, 6171])).
% 217.85/140.42 tff(6173,plain,
% 217.85/140.42 (~(v112(constB75) | v115(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6172, 6162])).
% 217.85/140.42 tff(6174,plain,
% 217.85/140.42 (~v111(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4211, 6173, 4151])).
% 217.85/140.42 tff(6175,plain,
% 217.85/140.42 ((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4146, 6167])).
% 217.85/140.42 tff(6176,plain,
% 217.85/140.42 ((~(v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))))) | (~v116(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4148, 6175])).
% 217.85/140.42 tff(6177,plain,
% 217.85/140.42 (~v116(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6176, 4121])).
% 217.85/140.42 tff(6178,plain,
% 217.85/140.42 ((~(v111(constB75) | v116(constB75))) | v111(constB75)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4213, 6177])).
% 217.85/140.42 tff(6179,plain,
% 217.85/140.42 (~(v111(constB75) | v116(constB75))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6178, 6174])).
% 217.85/140.42 tff(6180,plain,
% 217.85/140.42 ($false),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[4215, 6179, 6152, 4114])).
% 217.85/140.42 tff(6181,plain,(v104(constB68) | (~(v108(constB75) | v119(constB75)))), inference(lemma,lemma(discharge,[]))).
% 217.85/140.42 tff(6182,plain,
% 217.85/140.42 (v104(constB68)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6181, 5129])).
% 217.85/140.42 tff(6183,plain,
% 217.85/140.42 ((~(v104(constB68) <=> v102(constB67))) | (~v104(constB68)) | v102(constB67)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6184,plain,
% 217.85/140.42 ((~v104(constB68)) | v102(constB67)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6183, 5312])).
% 217.85/140.42 tff(6185,plain,
% 217.85/140.42 (v102(constB67)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6184, 6182])).
% 217.85/140.42 tff(6186,plain,
% 217.85/140.42 ((~(v102(constB67) <=> (v105(constB67) | v106(constB67)))) | (~v102(constB67)) | (v105(constB67) | v106(constB67))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6187,plain,
% 217.85/140.42 ((~v102(constB67)) | (v105(constB67) | v106(constB67))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6186, 5317])).
% 217.85/140.42 tff(6188,plain,
% 217.85/140.42 (v105(constB67) | v106(constB67)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6187, 6185])).
% 217.85/140.42 tff(6189,plain,
% 217.85/140.42 ((~(v105(constB67) | v106(constB67))) | v105(constB67) | v106(constB67)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6190,plain,
% 217.85/140.42 ((~(v105(constB67) | v106(constB67))) | v106(constB67)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6189, 5336])).
% 217.85/140.42 tff(6191,plain,
% 217.85/140.42 (v106(constB67)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6190, 6188])).
% 217.85/140.42 tff(6192,plain,
% 217.85/140.42 ((~(v106(constB67) <=> (~((~v107(constB67)) | (~v120(constB67)))))) | (~v106(constB67)) | (~((~v107(constB67)) | (~v120(constB67))))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6193,plain,
% 217.85/140.42 ((~v106(constB67)) | (~((~v107(constB67)) | (~v120(constB67))))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6192, 5324])).
% 217.85/140.42 tff(6194,plain,
% 217.85/140.42 (~((~v107(constB67)) | (~v120(constB67)))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6193, 6191])).
% 217.85/140.42 tff(6195,plain,
% 217.85/140.42 (((~v107(constB67)) | (~v120(constB67))) | v107(constB67)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6196,plain,
% 217.85/140.42 (v107(constB67)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6195, 6194])).
% 217.85/140.42 tff(6197,assumption,(~(v107(constB67) <=> (v108(constB67) | v119(constB67)))), introduced(assumption)).
% 217.85/140.42 tff(6198,plain,
% 217.85/140.42 ($false),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[5307, 187, 6197])).
% 217.85/140.42 tff(6199,plain,(v107(constB67) <=> (v108(constB67) | v119(constB67))), inference(lemma,lemma(discharge,[]))).
% 217.85/140.42 tff(6200,plain,
% 217.85/140.42 ((~(v107(constB67) <=> (v108(constB67) | v119(constB67)))) | (~v107(constB67)) | (v108(constB67) | v119(constB67))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6201,plain,
% 217.85/140.42 ((~v107(constB67)) | (v108(constB67) | v119(constB67))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6200, 6199])).
% 217.85/140.42 tff(6202,plain,
% 217.85/140.42 (v108(constB67) | v119(constB67)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6201, 6196])).
% 217.85/140.42 tff(6203,plain,
% 217.85/140.42 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6204,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66')).
% 217.85/140.42 tff(6205,plain,
% 217.85/140.42 (nextState(constB66, constB67)),
% 217.85/140.42 inference(modus_ponens,[status(thm)],[6204, 6203])).
% 217.85/140.42 tff(6206,plain,
% 217.85/140.42 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67))))))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6207,plain,
% 217.85/140.42 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67))))))),
% 217.85/140.42 inference(quant_inst,[status(thm)],[])).
% 217.85/140.42 tff(6208,plain,
% 217.85/140.42 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67)))))),
% 217.85/140.42 inference(modus_ponens,[status(thm)],[6207, 6206])).
% 217.85/140.42 tff(6209,plain,
% 217.85/140.42 (v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67))))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6208, 6205, 14])).
% 217.85/140.42 tff(6210,plain,
% 217.85/140.42 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6211,plain,
% 217.85/140.42 (((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67)))))) <=> ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6212,plain,
% 217.85/140.42 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))))),
% 217.85/140.42 inference(monotonicity,[status(thm)],[6211])).
% 217.85/140.42 tff(6213,plain,
% 217.85/140.42 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))),
% 217.85/140.42 inference(transitivity,[status(thm)],[6212, 6210])).
% 217.85/140.42 tff(6214,plain,
% 217.85/140.42 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67))))))),
% 217.85/140.42 inference(quant_inst,[status(thm)],[])).
% 217.85/140.42 tff(6215,plain,
% 217.85/140.42 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))),
% 217.85/140.42 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 217.85/140.42 tff(6216,plain,
% 217.85/140.42 (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6215, 6205, 37])).
% 217.85/140.42 tff(6217,plain,
% 217.85/140.42 ((~v1(constB67)) <=> (~v1(constB67))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6218,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67')).
% 217.85/140.42 tff(6219,plain,
% 217.85/140.42 (~v1(constB67)),
% 217.85/140.42 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 217.85/140.42 tff(6220,plain,
% 217.85/140.42 (((~v1(constB67)) | (~v96(constB67))) | v1(constB67)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6221,plain,
% 217.85/140.42 ((~v1(constB67)) | (~v96(constB67))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6220, 6219])).
% 217.85/140.42 tff(6222,plain,
% 217.85/140.42 ((~(v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))) | (~v95(constB67)) | (~((~v1(constB67)) | (~v96(constB67))))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6223,plain,
% 217.85/140.42 ((~(v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))) | (~v95(constB67))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6222, 6221])).
% 217.85/140.42 tff(6224,plain,
% 217.85/140.42 (~v95(constB67)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6223, 6216])).
% 217.85/140.42 tff(6225,plain,
% 217.85/140.42 (((~v95(constB67)) | (~v104(constB67))) | v95(constB67)),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6226,plain,
% 217.85/140.42 ((~v95(constB67)) | (~v104(constB67))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6225, 6224])).
% 217.85/140.42 tff(6227,plain,
% 217.85/140.42 ((~(v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67)))))) | (~v94(constB67)) | (~((~v95(constB67)) | (~v104(constB67))))),
% 217.85/140.42 inference(tautology,[status(thm)],[])).
% 217.85/140.42 tff(6228,plain,
% 217.85/140.42 (~v94(constB67)),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6227, 6226, 6209])).
% 217.85/140.42 tff(6229,plain,
% 217.85/140.42 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB67) | (~nextState(constB66, constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB67) | (~nextState(constB66, constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B))))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6230,plain,
% 217.85/140.42 ((v94(constB67) | (~nextState(constB66, constB67)) | ![B: $int] : ((v84(constB67, B) <=> v84(constB66, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB67) | (~nextState(constB66, constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B))))),
% 217.85/140.42 inference(rewrite,[status(thm)],[])).
% 217.85/140.42 tff(6231,plain,
% 217.85/140.42 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB67) | (~nextState(constB66, constB67)) | ![B: $int] : ((v84(constB67, B) <=> v84(constB66, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB67) | (~nextState(constB66, constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))))),
% 217.85/140.42 inference(monotonicity,[status(thm)],[6230])).
% 217.85/140.42 tff(6232,plain,
% 217.85/140.42 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB67) | (~nextState(constB66, constB67)) | ![B: $int] : ((v84(constB67, B) <=> v84(constB66, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB67) | (~nextState(constB66, constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B))))),
% 217.85/140.42 inference(transitivity,[status(thm)],[6231, 6229])).
% 217.85/140.42 tff(6233,plain,
% 217.85/140.42 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB67) | (~nextState(constB66, constB67)) | ![B: $int] : ((v84(constB67, B) <=> v84(constB66, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.85/140.42 inference(quant_inst,[status(thm)],[])).
% 217.85/140.42 tff(6234,plain,
% 217.85/140.42 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB67) | (~nextState(constB66, constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))),
% 217.85/140.42 inference(modus_ponens,[status(thm)],[6233, 6232])).
% 217.85/140.42 tff(6235,plain,
% 217.85/140.42 (v94(constB67) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))),
% 217.85/140.42 inference(unit_resolution,[status(thm)],[6234, 6205, 235])).
% 217.85/140.43 tff(6236,plain,
% 217.85/140.43 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6235, 6228])).
% 217.85/140.43 tff(6237,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 1) <=> v84(constB66, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 1) <=> v84(constB66, 1)))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6238,plain,
% 217.85/140.43 (($false | $false | (v84(constB67, 1) <=> v84(constB66, 1))) <=> (v84(constB67, 1) <=> v84(constB66, 1))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6239,plain,
% 217.85/140.43 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB67, 1) <=> v84(constB66, 1))) <=> ($false | $false | (v84(constB67, 1) <=> v84(constB66, 1)))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.43 tff(6240,plain,
% 217.85/140.43 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB67, 1) <=> v84(constB66, 1))) <=> (v84(constB67, 1) <=> v84(constB66, 1))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6239, 6238])).
% 217.85/140.43 tff(6241,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB67, 1) <=> v84(constB66, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 1) <=> v84(constB66, 1)))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[6240])).
% 217.85/140.43 tff(6242,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB67, 1) <=> v84(constB66, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 1) <=> v84(constB66, 1)))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6241, 6237])).
% 217.85/140.43 tff(6243,plain,
% 217.85/140.43 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB67, 1) <=> v84(constB66, 1)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6244,plain,
% 217.85/140.43 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 1) <=> v84(constB66, 1))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6243, 6242])).
% 217.85/140.43 tff(6245,plain,
% 217.85/140.43 (v84(constB67, 1) <=> v84(constB66, 1)),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6244, 6236])).
% 217.85/140.43 tff(6246,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB65) <=> (v108(constB65) | v119(constB65)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6247,plain,
% 217.85/140.43 (v107(constB65) <=> (v108(constB65) | v119(constB65))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6246, 187])).
% 217.85/140.43 tff(6248,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB65) <=> (v109(constB65) | v118(constB65)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6249,plain,
% 217.85/140.43 (v108(constB65) <=> (v109(constB65) | v118(constB65))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6248, 428])).
% 217.85/140.43 tff(6250,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB65) <=> (v110(constB65) | v117(constB65)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6251,plain,
% 217.85/140.43 (v109(constB65) <=> (v110(constB65) | v117(constB65))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6250, 456])).
% 217.85/140.43 tff(6252,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB65) <=> (v111(constB65) | v116(constB65)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6253,plain,
% 217.85/140.43 (v110(constB65) <=> (v111(constB65) | v116(constB65))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6252, 265])).
% 217.85/140.43 tff(6254,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB65) <=> (v112(constB65) | v115(constB65)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6255,plain,
% 217.85/140.43 (v111(constB65) <=> (v112(constB65) | v115(constB65))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6254, 274])).
% 217.85/140.43 tff(6256,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB65) <=> (v113(constB65) | v114(constB65)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6257,plain,
% 217.85/140.43 (v112(constB65) <=> (v113(constB65) | v114(constB65))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6256, 283])).
% 217.85/140.43 tff(6258,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6259,plain,
% 217.85/140.43 (v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6258, 298])).
% 217.85/140.43 tff(6260,plain,
% 217.85/140.43 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6261,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64')).
% 217.85/140.43 tff(6262,plain,
% 217.85/140.43 (nextState(constB64, constB65)),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6261, 6260])).
% 217.85/140.43 tff(6263,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65))))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6264,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65))))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6265,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65)))))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 217.85/140.43 tff(6266,plain,
% 217.85/140.43 (v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65))))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6265, 6262, 14])).
% 217.85/140.43 tff(6267,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6268,plain,
% 217.85/140.43 (((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65)))))) <=> ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6269,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[6268])).
% 217.85/140.43 tff(6270,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6269, 6267])).
% 217.85/140.43 tff(6271,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65))))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6272,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6271, 6270])).
% 217.85/140.43 tff(6273,plain,
% 217.85/140.43 (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6272, 6262, 37])).
% 217.85/140.43 tff(6274,plain,
% 217.85/140.43 ((~v1(constB65)) <=> (~v1(constB65))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6275,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65')).
% 217.85/140.43 tff(6276,plain,
% 217.85/140.43 (~v1(constB65)),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6275, 6274])).
% 217.85/140.43 tff(6277,plain,
% 217.85/140.43 (((~v1(constB65)) | (~v96(constB65))) | v1(constB65)),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6278,plain,
% 217.85/140.43 ((~v1(constB65)) | (~v96(constB65))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6277, 6276])).
% 217.85/140.43 tff(6279,plain,
% 217.85/140.43 ((~(v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))) | (~v95(constB65)) | (~((~v1(constB65)) | (~v96(constB65))))),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6280,plain,
% 217.85/140.43 ((~(v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))) | (~v95(constB65))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6279, 6278])).
% 217.85/140.43 tff(6281,plain,
% 217.85/140.43 (~v95(constB65)),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6280, 6273])).
% 217.85/140.43 tff(6282,plain,
% 217.85/140.43 (((~v95(constB65)) | (~v104(constB65))) | v95(constB65)),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6283,plain,
% 217.85/140.43 ((~v95(constB65)) | (~v104(constB65))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6282, 6281])).
% 217.85/140.43 tff(6284,plain,
% 217.85/140.43 ((~(v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65)))))) | (~v94(constB65)) | (~((~v95(constB65)) | (~v104(constB65))))),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6285,plain,
% 217.85/140.43 (~v94(constB65)),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6284, 6283, 6266])).
% 217.85/140.43 tff(6286,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB65) | (~nextState(constB64, constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB65) | (~nextState(constB64, constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6287,plain,
% 217.85/140.43 ((v94(constB65) | (~nextState(constB64, constB65)) | ![B: $int] : ((v84(constB65, B) <=> v84(constB64, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB65) | (~nextState(constB64, constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6288,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB65) | (~nextState(constB64, constB65)) | ![B: $int] : ((v84(constB65, B) <=> v84(constB64, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB65) | (~nextState(constB64, constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[6287])).
% 217.85/140.43 tff(6289,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB65) | (~nextState(constB64, constB65)) | ![B: $int] : ((v84(constB65, B) <=> v84(constB64, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB65) | (~nextState(constB64, constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B))))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6288, 6286])).
% 217.85/140.43 tff(6290,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB65) | (~nextState(constB64, constB65)) | ![B: $int] : ((v84(constB65, B) <=> v84(constB64, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6291,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB65) | (~nextState(constB64, constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6290, 6289])).
% 217.85/140.43 tff(6292,plain,
% 217.85/140.43 (v94(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6291, 6262, 235])).
% 217.85/140.43 tff(6293,plain,
% 217.85/140.43 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6292, 6285])).
% 217.85/140.43 tff(6294,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 1) <=> v84(constB64, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 1) <=> v84(constB64, 1)))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6295,plain,
% 217.85/140.43 (($false | $false | (v84(constB65, 1) <=> v84(constB64, 1))) <=> (v84(constB65, 1) <=> v84(constB64, 1))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6296,plain,
% 217.85/140.43 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB65, 1) <=> v84(constB64, 1))) <=> ($false | $false | (v84(constB65, 1) <=> v84(constB64, 1)))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.43 tff(6297,plain,
% 217.85/140.43 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB65, 1) <=> v84(constB64, 1))) <=> (v84(constB65, 1) <=> v84(constB64, 1))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6296, 6295])).
% 217.85/140.43 tff(6298,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB65, 1) <=> v84(constB64, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 1) <=> v84(constB64, 1)))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[6297])).
% 217.85/140.43 tff(6299,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB65, 1) <=> v84(constB64, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 1) <=> v84(constB64, 1)))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6298, 6294])).
% 217.85/140.43 tff(6300,plain,
% 217.85/140.43 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB65, 1) <=> v84(constB64, 1)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6301,plain,
% 217.85/140.43 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 1) <=> v84(constB64, 1))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6300, 6299])).
% 217.85/140.43 tff(6302,plain,
% 217.85/140.43 (v84(constB65, 1) <=> v84(constB64, 1)),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6301, 6293])).
% 217.85/140.43 tff(6303,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB63) <=> (v108(constB63) | v119(constB63)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6304,plain,
% 217.85/140.43 (v107(constB63) <=> (v108(constB63) | v119(constB63))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6303, 187])).
% 217.85/140.43 tff(6305,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB63) <=> (v109(constB63) | v118(constB63)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6306,plain,
% 217.85/140.43 (v108(constB63) <=> (v109(constB63) | v118(constB63))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6305, 428])).
% 217.85/140.43 tff(6307,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB63) <=> (v110(constB63) | v117(constB63)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6308,plain,
% 217.85/140.43 (v109(constB63) <=> (v110(constB63) | v117(constB63))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6307, 456])).
% 217.85/140.43 tff(6309,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB63) <=> (v111(constB63) | v116(constB63)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6310,plain,
% 217.85/140.43 (v110(constB63) <=> (v111(constB63) | v116(constB63))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6309, 265])).
% 217.85/140.43 tff(6311,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB63) <=> (v112(constB63) | v115(constB63)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6312,plain,
% 217.85/140.43 (v111(constB63) <=> (v112(constB63) | v115(constB63))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6311, 274])).
% 217.85/140.43 tff(6313,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB63) <=> (v113(constB63) | v114(constB63)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6314,plain,
% 217.85/140.43 (v112(constB63) <=> (v113(constB63) | v114(constB63))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6313, 283])).
% 217.85/140.43 tff(6315,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6316,plain,
% 217.85/140.43 (v114(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6315, 298])).
% 217.85/140.43 tff(6317,plain,
% 217.85/140.43 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6318,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62')).
% 217.85/140.43 tff(6319,plain,
% 217.85/140.43 (nextState(constB62, constB63)),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6318, 6317])).
% 217.85/140.43 tff(6320,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63))))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6321,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63))))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6322,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63)))))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6321, 6320])).
% 217.85/140.43 tff(6323,plain,
% 217.85/140.43 (v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63))))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6322, 6319, 14])).
% 217.85/140.43 tff(6324,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6325,plain,
% 217.85/140.43 (((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63)))))) <=> ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6326,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[6325])).
% 217.85/140.43 tff(6327,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6326, 6324])).
% 217.85/140.43 tff(6328,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63))))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6329,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6328, 6327])).
% 217.85/140.43 tff(6330,plain,
% 217.85/140.43 (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6329, 6319, 37])).
% 217.85/140.43 tff(6331,plain,
% 217.85/140.43 ((~v1(constB63)) <=> (~v1(constB63))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6332,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63')).
% 217.85/140.43 tff(6333,plain,
% 217.85/140.43 (~v1(constB63)),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6332, 6331])).
% 217.85/140.43 tff(6334,plain,
% 217.85/140.43 (((~v1(constB63)) | (~v96(constB63))) | v1(constB63)),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6335,plain,
% 217.85/140.43 ((~v1(constB63)) | (~v96(constB63))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6334, 6333])).
% 217.85/140.43 tff(6336,plain,
% 217.85/140.43 ((~(v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))) | (~v95(constB63)) | (~((~v1(constB63)) | (~v96(constB63))))),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6337,plain,
% 217.85/140.43 ((~(v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))) | (~v95(constB63))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6336, 6335])).
% 217.85/140.43 tff(6338,plain,
% 217.85/140.43 (~v95(constB63)),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6337, 6330])).
% 217.85/140.43 tff(6339,plain,
% 217.85/140.43 (((~v95(constB63)) | (~v104(constB63))) | v95(constB63)),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6340,plain,
% 217.85/140.43 ((~v95(constB63)) | (~v104(constB63))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6339, 6338])).
% 217.85/140.43 tff(6341,plain,
% 217.85/140.43 ((~(v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63)))))) | (~v94(constB63)) | (~((~v95(constB63)) | (~v104(constB63))))),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6342,plain,
% 217.85/140.43 (~v94(constB63)),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6341, 6340, 6323])).
% 217.85/140.43 tff(6343,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB63) | (~nextState(constB62, constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB63) | (~nextState(constB62, constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6344,plain,
% 217.85/140.43 ((v94(constB63) | (~nextState(constB62, constB63)) | ![B: $int] : ((v84(constB63, B) <=> v84(constB62, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB63) | (~nextState(constB62, constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6345,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB63) | (~nextState(constB62, constB63)) | ![B: $int] : ((v84(constB63, B) <=> v84(constB62, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB63) | (~nextState(constB62, constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[6344])).
% 217.85/140.43 tff(6346,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB63) | (~nextState(constB62, constB63)) | ![B: $int] : ((v84(constB63, B) <=> v84(constB62, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB63) | (~nextState(constB62, constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B))))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6345, 6343])).
% 217.85/140.43 tff(6347,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB63) | (~nextState(constB62, constB63)) | ![B: $int] : ((v84(constB63, B) <=> v84(constB62, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6348,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB63) | (~nextState(constB62, constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6347, 6346])).
% 217.85/140.43 tff(6349,plain,
% 217.85/140.43 (v94(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6348, 6319, 235])).
% 217.85/140.43 tff(6350,plain,
% 217.85/140.43 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6349, 6342])).
% 217.85/140.43 tff(6351,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 1) <=> v84(constB62, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 1) <=> v84(constB62, 1)))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6352,plain,
% 217.85/140.43 (($false | $false | (v84(constB63, 1) <=> v84(constB62, 1))) <=> (v84(constB63, 1) <=> v84(constB62, 1))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6353,plain,
% 217.85/140.43 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB63, 1) <=> v84(constB62, 1))) <=> ($false | $false | (v84(constB63, 1) <=> v84(constB62, 1)))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.43 tff(6354,plain,
% 217.85/140.43 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB63, 1) <=> v84(constB62, 1))) <=> (v84(constB63, 1) <=> v84(constB62, 1))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6353, 6352])).
% 217.85/140.43 tff(6355,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB63, 1) <=> v84(constB62, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 1) <=> v84(constB62, 1)))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[6354])).
% 217.85/140.43 tff(6356,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB63, 1) <=> v84(constB62, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 1) <=> v84(constB62, 1)))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6355, 6351])).
% 217.85/140.43 tff(6357,plain,
% 217.85/140.43 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB63, 1) <=> v84(constB62, 1)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6358,plain,
% 217.85/140.43 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 1) <=> v84(constB62, 1))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6357, 6356])).
% 217.85/140.43 tff(6359,plain,
% 217.85/140.43 (v84(constB63, 1) <=> v84(constB62, 1)),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6358, 6350])).
% 217.85/140.43 tff(6360,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB61) <=> (v108(constB61) | v119(constB61)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6361,plain,
% 217.85/140.43 (v107(constB61) <=> (v108(constB61) | v119(constB61))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6360, 187])).
% 217.85/140.43 tff(6362,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB61) <=> (v109(constB61) | v118(constB61)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6363,plain,
% 217.85/140.43 (v108(constB61) <=> (v109(constB61) | v118(constB61))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6362, 428])).
% 217.85/140.43 tff(6364,plain,
% 217.85/140.43 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2)))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6365,plain,
% 217.85/140.43 (v118(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2))))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6364, 394])).
% 217.85/140.43 tff(6366,plain,
% 217.85/140.43 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6367,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60')).
% 217.85/140.43 tff(6368,plain,
% 217.85/140.43 (nextState(constB60, constB61)),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 217.85/140.43 tff(6369,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61))))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6370,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61))))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6371,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61)))))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6370, 6369])).
% 217.85/140.43 tff(6372,plain,
% 217.85/140.43 (v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61))))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6371, 6368, 14])).
% 217.85/140.43 tff(6373,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6374,plain,
% 217.85/140.43 (((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61)))))) <=> ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6375,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[6374])).
% 217.85/140.43 tff(6376,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6375, 6373])).
% 217.85/140.43 tff(6377,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61))))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6378,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6377, 6376])).
% 217.85/140.43 tff(6379,plain,
% 217.85/140.43 (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6378, 6368, 37])).
% 217.85/140.43 tff(6380,plain,
% 217.85/140.43 ((~v1(constB61)) <=> (~v1(constB61))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6381,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61')).
% 217.85/140.43 tff(6382,plain,
% 217.85/140.43 (~v1(constB61)),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6381, 6380])).
% 217.85/140.43 tff(6383,plain,
% 217.85/140.43 (((~v1(constB61)) | (~v96(constB61))) | v1(constB61)),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6384,plain,
% 217.85/140.43 ((~v1(constB61)) | (~v96(constB61))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6383, 6382])).
% 217.85/140.43 tff(6385,plain,
% 217.85/140.43 ((~(v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))) | (~v95(constB61)) | (~((~v1(constB61)) | (~v96(constB61))))),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6386,plain,
% 217.85/140.43 ((~(v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))) | (~v95(constB61))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6385, 6384])).
% 217.85/140.43 tff(6387,plain,
% 217.85/140.43 (~v95(constB61)),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6386, 6379])).
% 217.85/140.43 tff(6388,plain,
% 217.85/140.43 (((~v95(constB61)) | (~v104(constB61))) | v95(constB61)),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6389,plain,
% 217.85/140.43 ((~v95(constB61)) | (~v104(constB61))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6388, 6387])).
% 217.85/140.43 tff(6390,plain,
% 217.85/140.43 ((~(v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61)))))) | (~v94(constB61)) | (~((~v95(constB61)) | (~v104(constB61))))),
% 217.85/140.43 inference(tautology,[status(thm)],[])).
% 217.85/140.43 tff(6391,plain,
% 217.85/140.43 (~v94(constB61)),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6390, 6389, 6372])).
% 217.85/140.43 tff(6392,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB61) | (~nextState(constB60, constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB61) | (~nextState(constB60, constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6393,plain,
% 217.85/140.43 ((v94(constB61) | (~nextState(constB60, constB61)) | ![B: $int] : ((v84(constB61, B) <=> v84(constB60, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB61) | (~nextState(constB60, constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B))))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6394,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB61) | (~nextState(constB60, constB61)) | ![B: $int] : ((v84(constB61, B) <=> v84(constB60, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB61) | (~nextState(constB60, constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[6393])).
% 217.85/140.43 tff(6395,plain,
% 217.85/140.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB61) | (~nextState(constB60, constB61)) | ![B: $int] : ((v84(constB61, B) <=> v84(constB60, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB61) | (~nextState(constB60, constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B))))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6394, 6392])).
% 217.85/140.43 tff(6396,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB61) | (~nextState(constB60, constB61)) | ![B: $int] : ((v84(constB61, B) <=> v84(constB60, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6397,plain,
% 217.85/140.43 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB61) | (~nextState(constB60, constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))),
% 217.85/140.43 inference(modus_ponens,[status(thm)],[6396, 6395])).
% 217.85/140.43 tff(6398,plain,
% 217.85/140.43 (v94(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6397, 6368, 235])).
% 217.85/140.43 tff(6399,plain,
% 217.85/140.43 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))),
% 217.85/140.43 inference(unit_resolution,[status(thm)],[6398, 6391])).
% 217.85/140.43 tff(6400,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 1) <=> v84(constB60, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 1) <=> v84(constB60, 1)))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6401,plain,
% 217.85/140.43 (($false | $false | (v84(constB61, 1) <=> v84(constB60, 1))) <=> (v84(constB61, 1) <=> v84(constB60, 1))),
% 217.85/140.43 inference(rewrite,[status(thm)],[])).
% 217.85/140.43 tff(6402,plain,
% 217.85/140.43 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB61, 1) <=> v84(constB60, 1))) <=> ($false | $false | (v84(constB61, 1) <=> v84(constB60, 1)))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.43 tff(6403,plain,
% 217.85/140.43 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB61, 1) <=> v84(constB60, 1))) <=> (v84(constB61, 1) <=> v84(constB60, 1))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6402, 6401])).
% 217.85/140.43 tff(6404,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB61, 1) <=> v84(constB60, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 1) <=> v84(constB60, 1)))),
% 217.85/140.43 inference(monotonicity,[status(thm)],[6403])).
% 217.85/140.43 tff(6405,plain,
% 217.85/140.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB61, 1) <=> v84(constB60, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 1) <=> v84(constB60, 1)))),
% 217.85/140.43 inference(transitivity,[status(thm)],[6404, 6400])).
% 217.85/140.43 tff(6406,plain,
% 217.85/140.43 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB61, 1) <=> v84(constB60, 1)))),
% 217.85/140.43 inference(quant_inst,[status(thm)],[])).
% 217.85/140.43 tff(6407,plain,
% 217.85/140.43 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 1) <=> v84(constB60, 1))),
% 217.85/140.44 inference(modus_ponens,[status(thm)],[6406, 6405])).
% 217.85/140.44 tff(6408,plain,
% 217.85/140.44 (v84(constB61, 1) <=> v84(constB60, 1)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6407, 6399])).
% 217.85/140.44 tff(6409,assumption,(~(v105(constB59) | v106(constB59))), introduced(assumption)).
% 217.85/140.44 tff(6410,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB59) <=> (v105(constB59) | v106(constB59)))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6411,plain,
% 217.85/140.44 (v102(constB59) <=> (v105(constB59) | v106(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6410, 115])).
% 217.85/140.44 tff(6412,plain,
% 217.85/140.44 ((~(v102(constB59) <=> (v105(constB59) | v106(constB59)))) | (~v102(constB59)) | (v105(constB59) | v106(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6413,plain,
% 217.85/140.44 ((~v102(constB59)) | (v105(constB59) | v106(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6412, 6411])).
% 217.85/140.44 tff(6414,plain,
% 217.85/140.44 (~v102(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6413, 6409])).
% 217.85/140.44 tff(6415,plain,
% 217.85/140.44 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6416,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59')).
% 217.85/140.44 tff(6417,plain,
% 217.85/140.44 (nextState(constB59, constB60)),
% 217.85/140.44 inference(modus_ponens,[status(thm)],[6416, 6415])).
% 217.85/140.44 tff(6418,plain,
% 217.85/140.44 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59)))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6419,plain,
% 217.85/140.44 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59)))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6420,plain,
% 217.85/140.44 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59))),
% 217.85/140.44 inference(modus_ponens,[status(thm)],[6419, 6418])).
% 217.85/140.44 tff(6421,plain,
% 217.85/140.44 (v104(constB60) <=> v102(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6420, 6417, 101])).
% 217.85/140.44 tff(6422,plain,
% 217.85/140.44 ((~(v104(constB60) <=> v102(constB59))) | (~v104(constB60)) | v102(constB59)),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6423,plain,
% 217.85/140.44 ((~v104(constB60)) | v102(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6422, 6421])).
% 217.85/140.44 tff(6424,plain,
% 217.85/140.44 (~v104(constB60)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6423, 6414])).
% 217.85/140.44 tff(6425,plain,
% 217.85/140.44 (((~v95(constB60)) | (~v104(constB60))) | v104(constB60)),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6426,plain,
% 217.85/140.44 ((~v95(constB60)) | (~v104(constB60))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6425, 6424])).
% 217.85/140.44 tff(6427,plain,
% 217.85/140.44 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60))))))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6428,plain,
% 217.85/140.44 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60))))))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6429,plain,
% 217.85/140.44 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60)))))),
% 217.85/140.44 inference(modus_ponens,[status(thm)],[6428, 6427])).
% 217.85/140.44 tff(6430,plain,
% 217.85/140.44 (v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60))))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6429, 6417, 14])).
% 217.85/140.44 tff(6431,plain,
% 217.85/140.44 ((~(v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60)))))) | (~v94(constB60)) | (~((~v95(constB60)) | (~v104(constB60))))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6432,plain,
% 217.85/140.44 ((~v94(constB60)) | (~((~v95(constB60)) | (~v104(constB60))))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6431, 6430])).
% 217.85/140.44 tff(6433,plain,
% 217.85/140.44 (~v94(constB60)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6432, 6426])).
% 217.85/140.44 tff(6434,plain,
% 217.85/140.44 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB60) | (~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB60) | (~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B))))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6435,plain,
% 217.85/140.44 ((v94(constB60) | (~nextState(constB59, constB60)) | ![B: $int] : ((v84(constB60, B) <=> v84(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB60) | (~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B))))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6436,plain,
% 217.85/140.44 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB60) | (~nextState(constB59, constB60)) | ![B: $int] : ((v84(constB60, B) <=> v84(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB60) | (~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))))),
% 217.85/140.44 inference(monotonicity,[status(thm)],[6435])).
% 217.85/140.44 tff(6437,plain,
% 217.85/140.44 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB60) | (~nextState(constB59, constB60)) | ![B: $int] : ((v84(constB60, B) <=> v84(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB60) | (~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B))))),
% 217.85/140.44 inference(transitivity,[status(thm)],[6436, 6434])).
% 217.85/140.44 tff(6438,plain,
% 217.85/140.44 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB60) | (~nextState(constB59, constB60)) | ![B: $int] : ((v84(constB60, B) <=> v84(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6439,plain,
% 217.85/140.44 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB60) | (~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))),
% 217.85/140.44 inference(modus_ponens,[status(thm)],[6438, 6437])).
% 217.85/140.44 tff(6440,plain,
% 217.85/140.44 (v94(constB60) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6439, 6417, 235])).
% 217.85/140.44 tff(6441,plain,
% 217.85/140.44 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6440, 6433])).
% 217.85/140.44 tff(6442,plain,
% 217.85/140.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 1) <=> v84(constB59, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 1) <=> v84(constB59, 1)))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6443,plain,
% 217.85/140.44 (($false | $false | (v84(constB60, 1) <=> v84(constB59, 1))) <=> (v84(constB60, 1) <=> v84(constB59, 1))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6444,plain,
% 217.85/140.44 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB60, 1) <=> v84(constB59, 1))) <=> ($false | $false | (v84(constB60, 1) <=> v84(constB59, 1)))),
% 217.85/140.44 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.44 tff(6445,plain,
% 217.85/140.44 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB60, 1) <=> v84(constB59, 1))) <=> (v84(constB60, 1) <=> v84(constB59, 1))),
% 217.85/140.44 inference(transitivity,[status(thm)],[6444, 6443])).
% 217.85/140.44 tff(6446,plain,
% 217.85/140.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB60, 1) <=> v84(constB59, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 1) <=> v84(constB59, 1)))),
% 217.85/140.44 inference(monotonicity,[status(thm)],[6445])).
% 217.85/140.44 tff(6447,plain,
% 217.85/140.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB60, 1) <=> v84(constB59, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 1) <=> v84(constB59, 1)))),
% 217.85/140.44 inference(transitivity,[status(thm)],[6446, 6442])).
% 217.85/140.44 tff(6448,plain,
% 217.85/140.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB60, 1) <=> v84(constB59, 1)))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6449,plain,
% 217.85/140.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 1) <=> v84(constB59, 1))),
% 217.85/140.44 inference(modus_ponens,[status(thm)],[6448, 6447])).
% 217.85/140.44 tff(6450,plain,
% 217.85/140.44 (v84(constB60, 1) <=> v84(constB59, 1)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6449, 6441])).
% 217.85/140.44 tff(6451,plain,
% 217.85/140.44 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0))))))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6452,plain,
% 217.85/140.44 ((v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 0)) | (~v84(constB59, 2))))) <=> (v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0)))))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6453,plain,
% 217.85/140.44 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 0)) | (~v84(constB59, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0))))))),
% 217.85/140.44 inference(monotonicity,[status(thm)],[6452])).
% 217.85/140.44 tff(6454,plain,
% 217.85/140.44 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 0)) | (~v84(constB59, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0))))))),
% 217.85/140.44 inference(transitivity,[status(thm)],[6453, 6451])).
% 217.85/140.44 tff(6455,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 0)) | (~v84(constB59, 2)))))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6456,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0)))))),
% 217.85/140.44 inference(modus_ponens,[status(thm)],[6455, 6454])).
% 217.85/140.44 tff(6457,plain,
% 217.85/140.44 (v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0))))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6456, 394])).
% 217.85/140.44 tff(6458,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB59) <=> (v109(constB59) | v118(constB59)))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6459,plain,
% 217.85/140.44 (v108(constB59) <=> (v109(constB59) | v118(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6458, 428])).
% 217.85/140.44 tff(6460,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB59) <=> (v108(constB59) | v119(constB59)))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6461,plain,
% 217.85/140.44 (v107(constB59) <=> (v108(constB59) | v119(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6460, 187])).
% 217.85/140.44 tff(6462,plain,
% 217.85/140.44 ((v105(constB59) | v106(constB59)) | (~v106(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6463,plain,
% 217.85/140.44 (~v106(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6462, 6409])).
% 217.85/140.44 tff(6464,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB59) <=> (~((~v107(constB59)) | (~v120(constB59)))))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6465,plain,
% 217.85/140.44 (v106(constB59) <=> (~((~v107(constB59)) | (~v120(constB59))))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6464, 132])).
% 217.85/140.44 tff(6466,plain,
% 217.85/140.44 ((~(v106(constB59) <=> (~((~v107(constB59)) | (~v120(constB59)))))) | v106(constB59) | ((~v107(constB59)) | (~v120(constB59)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6467,plain,
% 217.85/140.44 (v106(constB59) | ((~v107(constB59)) | (~v120(constB59)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6466, 6465])).
% 217.85/140.44 tff(6468,plain,
% 217.85/140.44 ((~v107(constB59)) | (~v120(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6467, 6463])).
% 217.85/140.44 tff(6469,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB59)) <=> v105(constB59))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6470,plain,
% 217.85/140.44 ((~v120(constB59)) <=> v105(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6469, 144])).
% 217.85/140.44 tff(6471,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB59) <=> v26(constB59))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6472,plain,
% 217.85/140.44 (v105(constB59) <=> v26(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6471, 156])).
% 217.85/140.44 tff(6473,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6474,plain,
% 217.85/140.44 (~v26(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6473, 168])).
% 217.85/140.44 tff(6475,plain,
% 217.85/140.44 ((~(v105(constB59) <=> v26(constB59))) | (~v105(constB59)) | v26(constB59)),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6476,plain,
% 217.85/140.44 ((~(v105(constB59) <=> v26(constB59))) | (~v105(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6475, 6474])).
% 217.85/140.44 tff(6477,plain,
% 217.85/140.44 (~v105(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6476, 6472])).
% 217.85/140.44 tff(6478,plain,
% 217.85/140.44 ((~((~v120(constB59)) <=> v105(constB59))) | v120(constB59) | v105(constB59)),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6479,plain,
% 217.85/140.44 ((~((~v120(constB59)) <=> v105(constB59))) | v120(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6478, 6477])).
% 217.85/140.44 tff(6480,plain,
% 217.85/140.44 (v120(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6479, 6470])).
% 217.85/140.44 tff(6481,plain,
% 217.85/140.44 ((~((~v107(constB59)) | (~v120(constB59)))) | (~v107(constB59)) | (~v120(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6482,plain,
% 217.85/140.44 ((~((~v107(constB59)) | (~v120(constB59)))) | (~v107(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6481, 6480])).
% 217.85/140.44 tff(6483,plain,
% 217.85/140.44 (~v107(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6482, 6468])).
% 217.85/140.44 tff(6484,plain,
% 217.85/140.44 ((~(v107(constB59) <=> (v108(constB59) | v119(constB59)))) | v107(constB59) | (~(v108(constB59) | v119(constB59)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6485,plain,
% 217.85/140.44 ((~(v107(constB59) <=> (v108(constB59) | v119(constB59)))) | (~(v108(constB59) | v119(constB59)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6484, 6483])).
% 217.85/140.44 tff(6486,plain,
% 217.85/140.44 (~(v108(constB59) | v119(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6485, 6461])).
% 217.85/140.44 tff(6487,plain,
% 217.85/140.44 ((v108(constB59) | v119(constB59)) | (~v108(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6488,plain,
% 217.85/140.44 (~v108(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6487, 6486])).
% 217.85/140.44 tff(6489,plain,
% 217.85/140.44 ((~(v108(constB59) <=> (v109(constB59) | v118(constB59)))) | v108(constB59) | (~(v109(constB59) | v118(constB59)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6490,plain,
% 217.85/140.44 ((~(v108(constB59) <=> (v109(constB59) | v118(constB59)))) | (~(v109(constB59) | v118(constB59)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6489, 6488])).
% 217.85/140.44 tff(6491,plain,
% 217.85/140.44 (~(v109(constB59) | v118(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6490, 6459])).
% 217.85/140.44 tff(6492,plain,
% 217.85/140.44 ((v109(constB59) | v118(constB59)) | (~v118(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6493,plain,
% 217.85/140.44 (~v118(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6492, 6491])).
% 217.85/140.44 tff(6494,plain,
% 217.85/140.44 ((~(v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0)))))) | v118(constB59) | (v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6495,plain,
% 217.85/140.44 ((~(v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0)))))) | (v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6494, 6493])).
% 217.85/140.44 tff(6496,plain,
% 217.85/140.44 (v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6495, 6457])).
% 217.85/140.44 tff(6497,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2))))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6498,plain,
% 217.85/140.44 (v113(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6497, 597])).
% 217.85/140.44 tff(6499,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB59) <=> (v113(constB59) | v114(constB59)))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6500,plain,
% 217.85/140.44 (v112(constB59) <=> (v113(constB59) | v114(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6499, 283])).
% 217.85/140.44 tff(6501,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB59) <=> (v112(constB59) | v115(constB59)))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6502,plain,
% 217.85/140.44 (v111(constB59) <=> (v112(constB59) | v115(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6501, 274])).
% 217.85/140.44 tff(6503,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB59) <=> (v111(constB59) | v116(constB59)))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6504,plain,
% 217.85/140.44 (v110(constB59) <=> (v111(constB59) | v116(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6503, 265])).
% 217.85/140.44 tff(6505,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB59) <=> (v110(constB59) | v117(constB59)))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6506,plain,
% 217.85/140.44 (v109(constB59) <=> (v110(constB59) | v117(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6505, 456])).
% 217.85/140.44 tff(6507,plain,
% 217.85/140.44 ((v109(constB59) | v118(constB59)) | (~v109(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6508,plain,
% 217.85/140.44 (~v109(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6507, 6491])).
% 217.85/140.44 tff(6509,plain,
% 217.85/140.44 ((~(v109(constB59) <=> (v110(constB59) | v117(constB59)))) | v109(constB59) | (~(v110(constB59) | v117(constB59)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6510,plain,
% 217.85/140.44 ((~(v109(constB59) <=> (v110(constB59) | v117(constB59)))) | (~(v110(constB59) | v117(constB59)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6509, 6508])).
% 217.85/140.44 tff(6511,plain,
% 217.85/140.44 (~(v110(constB59) | v117(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6510, 6506])).
% 217.85/140.44 tff(6512,plain,
% 217.85/140.44 ((v110(constB59) | v117(constB59)) | (~v110(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6513,plain,
% 217.85/140.44 (~v110(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6512, 6511])).
% 217.85/140.44 tff(6514,plain,
% 217.85/140.44 ((~(v110(constB59) <=> (v111(constB59) | v116(constB59)))) | v110(constB59) | (~(v111(constB59) | v116(constB59)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6515,plain,
% 217.85/140.44 ((~(v110(constB59) <=> (v111(constB59) | v116(constB59)))) | (~(v111(constB59) | v116(constB59)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6514, 6513])).
% 217.85/140.44 tff(6516,plain,
% 217.85/140.44 (~(v111(constB59) | v116(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6515, 6504])).
% 217.85/140.44 tff(6517,plain,
% 217.85/140.44 ((v111(constB59) | v116(constB59)) | (~v111(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6518,plain,
% 217.85/140.44 (~v111(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6517, 6516])).
% 217.85/140.44 tff(6519,plain,
% 217.85/140.44 ((~(v111(constB59) <=> (v112(constB59) | v115(constB59)))) | v111(constB59) | (~(v112(constB59) | v115(constB59)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6520,plain,
% 217.85/140.44 ((~(v111(constB59) <=> (v112(constB59) | v115(constB59)))) | (~(v112(constB59) | v115(constB59)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6519, 6518])).
% 217.85/140.44 tff(6521,plain,
% 217.85/140.44 (~(v112(constB59) | v115(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6520, 6502])).
% 217.85/140.44 tff(6522,plain,
% 217.85/140.44 ((v112(constB59) | v115(constB59)) | (~v112(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6523,plain,
% 217.85/140.44 (~v112(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6522, 6521])).
% 217.85/140.44 tff(6524,plain,
% 217.85/140.44 ((~(v112(constB59) <=> (v113(constB59) | v114(constB59)))) | v112(constB59) | (~(v113(constB59) | v114(constB59)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6525,plain,
% 217.85/140.44 ((~(v112(constB59) <=> (v113(constB59) | v114(constB59)))) | (~(v113(constB59) | v114(constB59)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6524, 6523])).
% 217.85/140.44 tff(6526,plain,
% 217.85/140.44 (~(v113(constB59) | v114(constB59))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6525, 6500])).
% 217.85/140.44 tff(6527,plain,
% 217.85/140.44 ((v113(constB59) | v114(constB59)) | (~v113(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6528,plain,
% 217.85/140.44 (~v113(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6527, 6526])).
% 217.85/140.44 tff(6529,plain,
% 217.85/140.44 ((~(v113(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2))))) | v113(constB59) | (v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6530,plain,
% 217.85/140.44 ((~(v113(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2))))) | (v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6529, 6528])).
% 217.85/140.44 tff(6531,plain,
% 217.85/140.44 (v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6530, 6498])).
% 217.85/140.44 tff(6532,plain,
% 217.85/140.44 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)))))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6533,plain,
% 217.85/140.44 ((v115(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 2) | (~v84(constB59, 1))))) <=> (v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6534,plain,
% 217.85/140.44 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 2) | (~v84(constB59, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)))))),
% 217.85/140.44 inference(monotonicity,[status(thm)],[6533])).
% 217.85/140.44 tff(6535,plain,
% 217.85/140.44 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 2) | (~v84(constB59, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)))))),
% 217.85/140.44 inference(transitivity,[status(thm)],[6534, 6532])).
% 217.85/140.44 tff(6536,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 2) | (~v84(constB59, 1)))))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6537,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))))),
% 217.85/140.44 inference(modus_ponens,[status(thm)],[6536, 6535])).
% 217.85/140.44 tff(6538,plain,
% 217.85/140.44 (v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6537, 622])).
% 217.85/140.44 tff(6539,plain,
% 217.85/140.44 ((v112(constB59) | v115(constB59)) | (~v115(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6540,plain,
% 217.85/140.44 (~v115(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6539, 6521])).
% 217.85/140.44 tff(6541,plain,
% 217.85/140.44 ((~(v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))))) | v115(constB59) | (v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6542,plain,
% 217.85/140.44 ((~(v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))))) | (v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6541, 6540])).
% 217.85/140.44 tff(6543,plain,
% 217.85/140.44 (v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6542, 6538])).
% 217.85/140.44 tff(6544,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2)))))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6545,plain,
% 217.85/140.44 (v117(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2))))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6544, 656])).
% 217.85/140.44 tff(6546,plain,
% 217.85/140.44 ((v110(constB59) | v117(constB59)) | (~v117(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6547,plain,
% 217.85/140.44 (~v117(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6546, 6511])).
% 217.85/140.44 tff(6548,plain,
% 217.85/140.44 ((~(v117(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2)))))) | v117(constB59) | (v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6549,plain,
% 217.85/140.44 ((~(v117(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2)))))) | (v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6548, 6547])).
% 217.85/140.44 tff(6550,plain,
% 217.85/140.44 (v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6549, 6545])).
% 217.85/140.44 tff(6551,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2)))))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6552,plain,
% 217.85/140.44 (v119(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2))))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6551, 318])).
% 217.85/140.44 tff(6553,plain,
% 217.85/140.44 ((v108(constB59) | v119(constB59)) | (~v119(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6554,plain,
% 217.85/140.44 (~v119(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6553, 6486])).
% 217.85/140.44 tff(6555,plain,
% 217.85/140.44 ((~(v119(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2)))))) | v119(constB59) | (v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6556,plain,
% 217.85/140.44 ((~(v119(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2)))))) | (v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6555, 6554])).
% 217.85/140.44 tff(6557,plain,
% 217.85/140.44 (v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6556, 6552])).
% 217.85/140.44 tff(6558,assumption,(v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2))), introduced(assumption)).
% 217.85/140.44 tff(6559,assumption,(~v84(constB59, 0)), introduced(assumption)).
% 217.85/140.44 tff(6560,assumption,(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)), introduced(assumption)).
% 217.85/140.44 tff(6561,assumption,(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)), introduced(assumption)).
% 217.85/140.44 tff(6562,assumption,(~v84(constB59, 2)), introduced(assumption)).
% 217.85/140.44 tff(6563,plain,
% 217.85/140.44 ((~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2))) | v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6564,plain,
% 217.85/140.44 (v84(constB59, 1)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6563, 6562, 6559, 6560])).
% 217.85/140.44 tff(6565,plain,
% 217.85/140.44 ((~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))) | v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6566,plain,
% 217.85/140.44 ($false),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6565, 6564, 6562, 6559, 6561])).
% 217.85/140.44 tff(6567,plain,(v84(constB59, 2) | v84(constB59, 0) | (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))) | (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)))), inference(lemma,lemma(discharge,[]))).
% 217.85/140.44 tff(6568,plain,
% 217.85/140.44 (v84(constB59, 2)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6567, 6559, 6561, 6560])).
% 217.85/140.44 tff(6569,assumption,(v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2))), introduced(assumption)).
% 217.85/140.44 tff(6570,plain,
% 217.85/140.44 ((~(v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2)))) | v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6571,plain,
% 217.85/140.44 (v84(constB59, 1)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6570, 6568, 6559, 6569])).
% 217.85/140.44 tff(6572,plain,
% 217.85/140.44 ((~(v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2)))) | v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6573,plain,
% 217.85/140.44 ($false),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6572, 6571, 6568, 6559, 6558])).
% 217.85/140.44 tff(6574,plain,(v84(constB59, 0) | (~(v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2)))) | (~(v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2)))) | (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))) | (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)))), inference(lemma,lemma(discharge,[]))).
% 217.85/140.44 tff(6575,plain,
% 217.85/140.44 (v84(constB59, 0)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6574, 6557, 6550, 6543, 6531])).
% 217.85/140.44 tff(6576,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB59) <=> (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6577,plain,
% 217.85/140.44 (v114(constB59) <=> (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6576, 298])).
% 217.85/140.44 tff(6578,plain,
% 217.85/140.44 ((v113(constB59) | v114(constB59)) | (~v114(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6579,plain,
% 217.85/140.44 (~v114(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6578, 6526])).
% 217.85/140.44 tff(6580,plain,
% 217.85/140.44 ((~(v114(constB59) <=> (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))))) | v114(constB59) | (v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6581,plain,
% 217.85/140.44 ((~(v114(constB59) <=> (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))))) | (v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6580, 6579])).
% 217.85/140.44 tff(6582,plain,
% 217.85/140.44 (v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6581, 6577])).
% 217.85/140.44 tff(6583,plain,
% 217.85/140.44 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))))))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6584,plain,
% 217.85/140.44 ((v116(constB59) <=> (~(v84(constB59, 2) | (~v84(constB59, 1)) | (~v84(constB59, 0))))) <=> (v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))))),
% 217.85/140.44 inference(rewrite,[status(thm)],[])).
% 217.85/140.44 tff(6585,plain,
% 217.85/140.44 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB59) <=> (~(v84(constB59, 2) | (~v84(constB59, 1)) | (~v84(constB59, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))))))),
% 217.85/140.44 inference(monotonicity,[status(thm)],[6584])).
% 217.85/140.44 tff(6586,plain,
% 217.85/140.44 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB59) <=> (~(v84(constB59, 2) | (~v84(constB59, 1)) | (~v84(constB59, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))))))),
% 217.85/140.44 inference(transitivity,[status(thm)],[6585, 6583])).
% 217.85/140.44 tff(6587,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB59) <=> (~(v84(constB59, 2) | (~v84(constB59, 1)) | (~v84(constB59, 0)))))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6588,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))))),
% 217.85/140.44 inference(modus_ponens,[status(thm)],[6587, 6586])).
% 217.85/140.44 tff(6589,plain,
% 217.85/140.44 (v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6588, 521])).
% 217.85/140.44 tff(6590,plain,
% 217.85/140.44 ((v111(constB59) | v116(constB59)) | (~v116(constB59))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6591,plain,
% 217.85/140.44 (~v116(constB59)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6590, 6516])).
% 217.85/140.44 tff(6592,plain,
% 217.85/140.44 ((~(v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))))) | v116(constB59) | ((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6593,plain,
% 217.85/140.44 ((~(v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))))) | ((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6592, 6591])).
% 217.85/140.44 tff(6594,plain,
% 217.85/140.44 ((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6593, 6589])).
% 217.85/140.44 tff(6595,assumption,((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))), introduced(assumption)).
% 217.85/140.44 tff(6596,assumption,(v84(constB59, 0)), introduced(assumption)).
% 217.85/140.44 tff(6597,assumption,(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))), introduced(assumption)).
% 217.85/140.44 tff(6598,plain,
% 217.85/140.44 ((~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))) | v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6599,plain,
% 217.85/140.44 (v84(constB59, 1)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6598, 6562, 6596, 6597])).
% 217.85/140.44 tff(6600,plain,
% 217.85/140.44 ((~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))) | (~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6601,plain,
% 217.85/140.44 ($false),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6600, 6599, 6562, 6596, 6595])).
% 217.85/140.44 tff(6602,plain,(v84(constB59, 2) | (~v84(constB59, 0)) | (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))) | (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.85/140.44 tff(6603,plain,
% 217.85/140.44 (v84(constB59, 2)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6602, 6575, 6594, 6582])).
% 217.85/140.44 tff(6604,plain,
% 217.85/140.44 ((~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0)))) | v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6605,plain,
% 217.85/140.44 (v84(constB59, 1)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6604, 6603, 6575, 6496])).
% 217.85/140.44 tff(6606,plain,
% 217.85/140.44 ((~(v84(constB60, 1) <=> v84(constB59, 1))) | v84(constB60, 1) | (~v84(constB59, 1))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6607,plain,
% 217.85/140.44 ((~(v84(constB60, 1) <=> v84(constB59, 1))) | v84(constB60, 1)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6606, 6605])).
% 217.85/140.44 tff(6608,plain,
% 217.85/140.44 (v84(constB60, 1)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6607, 6450])).
% 217.85/140.44 tff(6609,plain,
% 217.85/140.44 ((~(v84(constB61, 1) <=> v84(constB60, 1))) | v84(constB61, 1) | (~v84(constB60, 1))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6610,plain,
% 217.85/140.44 ((~(v84(constB61, 1) <=> v84(constB60, 1))) | v84(constB61, 1)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6609, 6608])).
% 217.85/140.44 tff(6611,plain,
% 217.85/140.44 (v84(constB61, 1)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6610, 6408])).
% 217.85/140.44 tff(6612,plain,
% 217.85/140.44 ((v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2))) | (~v84(constB61, 1))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6613,plain,
% 217.85/140.44 (v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6612, 6611])).
% 217.85/140.44 tff(6614,plain,
% 217.85/140.44 ((~(v118(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2)))))) | (~v118(constB61)) | (~(v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2))))),
% 217.85/140.44 inference(tautology,[status(thm)],[])).
% 217.85/140.44 tff(6615,plain,
% 217.85/140.44 (~v118(constB61)),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6614, 6613, 6365])).
% 217.85/140.44 tff(6616,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB61) <=> (v110(constB61) | v117(constB61)))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6617,plain,
% 217.85/140.44 (v109(constB61) <=> (v110(constB61) | v117(constB61))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6616, 456])).
% 217.85/140.44 tff(6618,plain,
% 217.85/140.44 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB61) <=> (v111(constB61) | v116(constB61)))),
% 217.85/140.44 inference(quant_inst,[status(thm)],[])).
% 217.85/140.44 tff(6619,plain,
% 217.85/140.44 (v110(constB61) <=> (v111(constB61) | v116(constB61))),
% 217.85/140.44 inference(unit_resolution,[status(thm)],[6618, 265])).
% 217.85/140.45 tff(6620,plain,
% 217.85/140.45 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB61) <=> (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB61) <=> (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)))))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6621,plain,
% 217.85/140.45 ((v116(constB61) <=> (~(v84(constB61, 2) | (~v84(constB61, 1)) | (~v84(constB61, 0))))) <=> (v116(constB61) <=> (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2))))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6622,plain,
% 217.85/140.45 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB61) <=> (~(v84(constB61, 2) | (~v84(constB61, 1)) | (~v84(constB61, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB61) <=> (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)))))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[6621])).
% 217.85/140.45 tff(6623,plain,
% 217.85/140.45 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB61) <=> (~(v84(constB61, 2) | (~v84(constB61, 1)) | (~v84(constB61, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB61) <=> (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)))))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6622, 6620])).
% 217.85/140.45 tff(6624,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB61) <=> (~(v84(constB61, 2) | (~v84(constB61, 1)) | (~v84(constB61, 0)))))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6625,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB61) <=> (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2))))),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6624, 6623])).
% 217.85/140.45 tff(6626,plain,
% 217.85/140.45 (v116(constB61) <=> (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6625, 521])).
% 217.85/140.45 tff(6627,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 2) <=> v84(constB60, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 2) <=> v84(constB60, 2)))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6628,plain,
% 217.85/140.45 (($false | $false | (v84(constB61, 2) <=> v84(constB60, 2))) <=> (v84(constB61, 2) <=> v84(constB60, 2))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6629,plain,
% 217.85/140.45 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB61, 2) <=> v84(constB60, 2))) <=> ($false | $false | (v84(constB61, 2) <=> v84(constB60, 2)))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.45 tff(6630,plain,
% 217.85/140.45 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB61, 2) <=> v84(constB60, 2))) <=> (v84(constB61, 2) <=> v84(constB60, 2))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6629, 6628])).
% 217.85/140.45 tff(6631,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB61, 2) <=> v84(constB60, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 2) <=> v84(constB60, 2)))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[6630])).
% 217.85/140.45 tff(6632,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB61, 2) <=> v84(constB60, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 2) <=> v84(constB60, 2)))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6631, 6627])).
% 217.85/140.45 tff(6633,plain,
% 217.85/140.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB61, 2) <=> v84(constB60, 2)))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6634,plain,
% 217.85/140.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 2) <=> v84(constB60, 2))),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 217.85/140.45 tff(6635,plain,
% 217.85/140.45 (v84(constB61, 2) <=> v84(constB60, 2)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6634, 6399])).
% 217.85/140.45 tff(6636,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 2) <=> v84(constB59, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 2) <=> v84(constB59, 2)))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6637,plain,
% 217.85/140.45 (($false | $false | (v84(constB60, 2) <=> v84(constB59, 2))) <=> (v84(constB60, 2) <=> v84(constB59, 2))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6638,plain,
% 217.85/140.45 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB60, 2) <=> v84(constB59, 2))) <=> ($false | $false | (v84(constB60, 2) <=> v84(constB59, 2)))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.45 tff(6639,plain,
% 217.85/140.45 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB60, 2) <=> v84(constB59, 2))) <=> (v84(constB60, 2) <=> v84(constB59, 2))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6638, 6637])).
% 217.85/140.45 tff(6640,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB60, 2) <=> v84(constB59, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 2) <=> v84(constB59, 2)))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[6639])).
% 217.85/140.45 tff(6641,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB60, 2) <=> v84(constB59, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 2) <=> v84(constB59, 2)))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6640, 6636])).
% 217.85/140.45 tff(6642,plain,
% 217.85/140.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB60, 2) <=> v84(constB59, 2)))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6643,plain,
% 217.85/140.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 2) <=> v84(constB59, 2))),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6642, 6641])).
% 217.85/140.45 tff(6644,plain,
% 217.85/140.45 (v84(constB60, 2) <=> v84(constB59, 2)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6643, 6441])).
% 217.85/140.45 tff(6645,plain,
% 217.85/140.45 ((~(v84(constB60, 2) <=> v84(constB59, 2))) | v84(constB60, 2) | (~v84(constB59, 2))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6646,plain,
% 217.85/140.45 ((~(v84(constB60, 2) <=> v84(constB59, 2))) | v84(constB60, 2)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6645, 6603])).
% 217.85/140.45 tff(6647,plain,
% 217.85/140.45 (v84(constB60, 2)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6646, 6644])).
% 217.85/140.45 tff(6648,plain,
% 217.85/140.45 ((~(v84(constB61, 2) <=> v84(constB60, 2))) | v84(constB61, 2) | (~v84(constB60, 2))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6649,plain,
% 217.85/140.45 ((~(v84(constB61, 2) <=> v84(constB60, 2))) | v84(constB61, 2)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6648, 6647])).
% 217.85/140.45 tff(6650,plain,
% 217.85/140.45 (v84(constB61, 2)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6649, 6635])).
% 217.85/140.45 tff(6651,plain,
% 217.85/140.45 (((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)) | (~v84(constB61, 2))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6652,plain,
% 217.85/140.45 ((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6651, 6650])).
% 217.85/140.45 tff(6653,plain,
% 217.85/140.45 ((~(v116(constB61) <=> (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2))))) | (~v116(constB61)) | (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6654,plain,
% 217.85/140.45 (~v116(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6653, 6652, 6626])).
% 217.85/140.45 tff(6655,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB61) <=> (v112(constB61) | v115(constB61)))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6656,plain,
% 217.85/140.45 (v111(constB61) <=> (v112(constB61) | v115(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6655, 274])).
% 217.85/140.45 tff(6657,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB61) <=> (v113(constB61) | v114(constB61)))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6658,plain,
% 217.85/140.45 (v112(constB61) <=> (v113(constB61) | v114(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6657, 283])).
% 217.85/140.45 tff(6659,plain,
% 217.85/140.45 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)))))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6660,plain,
% 217.85/140.45 ((v114(constB61) <=> (~(v84(constB61, 1) | v84(constB61, 2) | (~v84(constB61, 0))))) <=> (v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2))))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6661,plain,
% 217.85/140.45 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB61) <=> (~(v84(constB61, 1) | v84(constB61, 2) | (~v84(constB61, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)))))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[6660])).
% 217.85/140.45 tff(6662,plain,
% 217.85/140.45 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB61) <=> (~(v84(constB61, 1) | v84(constB61, 2) | (~v84(constB61, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)))))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6661, 6659])).
% 217.85/140.45 tff(6663,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB61) <=> (~(v84(constB61, 1) | v84(constB61, 2) | (~v84(constB61, 0)))))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6664,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2))))),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6663, 6662])).
% 217.85/140.45 tff(6665,plain,
% 217.85/140.45 (v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6664, 298])).
% 217.85/140.45 tff(6666,plain,
% 217.85/140.45 ((v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)) | (~v84(constB61, 1))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6667,plain,
% 217.85/140.45 (v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6666, 6611])).
% 217.85/140.45 tff(6668,plain,
% 217.85/140.45 ((~(v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2))))) | (~v114(constB61)) | (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6669,plain,
% 217.85/140.45 (~v114(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6668, 6667, 6665])).
% 217.85/140.45 tff(6670,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6671,plain,
% 217.85/140.45 (v113(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6670, 597])).
% 217.85/140.45 tff(6672,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 0) <=> v84(constB60, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 0) <=> v84(constB60, 0)))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6673,plain,
% 217.85/140.45 (($false | $false | (v84(constB61, 0) <=> v84(constB60, 0))) <=> (v84(constB61, 0) <=> v84(constB60, 0))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6674,plain,
% 217.85/140.45 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB61, 0) <=> v84(constB60, 0))) <=> ($false | $false | (v84(constB61, 0) <=> v84(constB60, 0)))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[250, 249])).
% 217.85/140.45 tff(6675,plain,
% 217.85/140.45 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB61, 0) <=> v84(constB60, 0))) <=> (v84(constB61, 0) <=> v84(constB60, 0))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6674, 6673])).
% 217.85/140.45 tff(6676,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB61, 0) <=> v84(constB60, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 0) <=> v84(constB60, 0)))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[6675])).
% 217.85/140.45 tff(6677,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB61, 0) <=> v84(constB60, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 0) <=> v84(constB60, 0)))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6676, 6672])).
% 217.85/140.45 tff(6678,plain,
% 217.85/140.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB61, 0) <=> v84(constB60, 0)))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6679,plain,
% 217.85/140.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB61, B) <=> v84(constB60, B)))) | (v84(constB61, 0) <=> v84(constB60, 0))),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6678, 6677])).
% 217.85/140.45 tff(6680,plain,
% 217.85/140.45 (v84(constB61, 0) <=> v84(constB60, 0)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6679, 6399])).
% 217.85/140.45 tff(6681,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 0) <=> v84(constB59, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 0) <=> v84(constB59, 0)))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6682,plain,
% 217.85/140.45 (($false | $false | (v84(constB60, 0) <=> v84(constB59, 0))) <=> (v84(constB60, 0) <=> v84(constB59, 0))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6683,plain,
% 217.85/140.45 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB60, 0) <=> v84(constB59, 0))) <=> ($false | $false | (v84(constB60, 0) <=> v84(constB59, 0)))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[250, 249])).
% 217.85/140.45 tff(6684,plain,
% 217.85/140.45 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB60, 0) <=> v84(constB59, 0))) <=> (v84(constB60, 0) <=> v84(constB59, 0))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6683, 6682])).
% 217.85/140.45 tff(6685,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB60, 0) <=> v84(constB59, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 0) <=> v84(constB59, 0)))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[6684])).
% 217.85/140.45 tff(6686,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB60, 0) <=> v84(constB59, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 0) <=> v84(constB59, 0)))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6685, 6681])).
% 217.85/140.45 tff(6687,plain,
% 217.85/140.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB60, 0) <=> v84(constB59, 0)))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6688,plain,
% 217.85/140.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))) | (v84(constB60, 0) <=> v84(constB59, 0))),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6687, 6686])).
% 217.85/140.45 tff(6689,plain,
% 217.85/140.45 (v84(constB60, 0) <=> v84(constB59, 0)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6688, 6441])).
% 217.85/140.45 tff(6690,plain,
% 217.85/140.45 ((~(v84(constB60, 0) <=> v84(constB59, 0))) | v84(constB60, 0) | (~v84(constB59, 0))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6691,plain,
% 217.85/140.45 ((~(v84(constB60, 0) <=> v84(constB59, 0))) | v84(constB60, 0)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6690, 6575])).
% 217.85/140.45 tff(6692,plain,
% 217.85/140.45 (v84(constB60, 0)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6691, 6689])).
% 217.85/140.45 tff(6693,plain,
% 217.85/140.45 ((~(v84(constB61, 0) <=> v84(constB60, 0))) | v84(constB61, 0) | (~v84(constB60, 0))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6694,plain,
% 217.85/140.45 ((~(v84(constB61, 0) <=> v84(constB60, 0))) | v84(constB61, 0)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6693, 6692])).
% 217.85/140.45 tff(6695,plain,
% 217.85/140.45 (v84(constB61, 0)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6694, 6680])).
% 217.85/140.45 tff(6696,plain,
% 217.85/140.45 ((v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)) | (~v84(constB61, 0))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6697,plain,
% 217.85/140.45 (v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6696, 6695])).
% 217.85/140.45 tff(6698,plain,
% 217.85/140.45 ((~(v113(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))))) | (~v113(constB61)) | (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6699,plain,
% 217.85/140.45 ((~(v113(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))))) | (~v113(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6698, 6697])).
% 217.85/140.45 tff(6700,plain,
% 217.85/140.45 (~v113(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6699, 6671])).
% 217.85/140.45 tff(6701,plain,
% 217.85/140.45 ((~(v113(constB61) | v114(constB61))) | v113(constB61) | v114(constB61)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6702,plain,
% 217.85/140.45 ((~(v113(constB61) | v114(constB61))) | v114(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6701, 6700])).
% 217.85/140.45 tff(6703,plain,
% 217.85/140.45 (~(v113(constB61) | v114(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6702, 6669])).
% 217.85/140.45 tff(6704,plain,
% 217.85/140.45 ((~(v112(constB61) <=> (v113(constB61) | v114(constB61)))) | (~v112(constB61)) | (v113(constB61) | v114(constB61))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6705,plain,
% 217.85/140.45 (~v112(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6704, 6703, 6658])).
% 217.85/140.45 tff(6706,plain,
% 217.85/140.45 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)))))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6707,plain,
% 217.85/140.45 ((v115(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 2) | (~v84(constB61, 1))))) <=> (v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6708,plain,
% 217.85/140.45 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 2) | (~v84(constB61, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)))))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[6707])).
% 217.85/140.45 tff(6709,plain,
% 217.85/140.45 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 2) | (~v84(constB61, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)))))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6708, 6706])).
% 217.85/140.45 tff(6710,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 2) | (~v84(constB61, 1)))))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6711,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))))),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6710, 6709])).
% 217.85/140.45 tff(6712,plain,
% 217.85/140.45 (v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6711, 622])).
% 217.85/140.45 tff(6713,plain,
% 217.85/140.45 ((v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)) | (~v84(constB61, 0))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6714,plain,
% 217.85/140.45 (v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6713, 6695])).
% 217.85/140.45 tff(6715,plain,
% 217.85/140.45 ((~(v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))))) | (~v115(constB61)) | (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6716,plain,
% 217.85/140.45 ((~(v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))))) | (~v115(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6715, 6714])).
% 217.85/140.45 tff(6717,plain,
% 217.85/140.45 (~v115(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6716, 6712])).
% 217.85/140.45 tff(6718,plain,
% 217.85/140.45 ((~(v112(constB61) | v115(constB61))) | v112(constB61) | v115(constB61)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6719,plain,
% 217.85/140.45 ((~(v112(constB61) | v115(constB61))) | v112(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6718, 6717])).
% 217.85/140.45 tff(6720,plain,
% 217.85/140.45 (~(v112(constB61) | v115(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6719, 6705])).
% 217.85/140.45 tff(6721,plain,
% 217.85/140.45 ((~(v111(constB61) <=> (v112(constB61) | v115(constB61)))) | (~v111(constB61)) | (v112(constB61) | v115(constB61))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6722,plain,
% 217.85/140.45 (~v111(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6721, 6720, 6656])).
% 217.85/140.45 tff(6723,plain,
% 217.85/140.45 ((~(v111(constB61) | v116(constB61))) | v111(constB61) | v116(constB61)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6724,plain,
% 217.85/140.45 (~(v111(constB61) | v116(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6723, 6722, 6654])).
% 217.85/140.45 tff(6725,plain,
% 217.85/140.45 ((~(v110(constB61) <=> (v111(constB61) | v116(constB61)))) | (~v110(constB61)) | (v111(constB61) | v116(constB61))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6726,plain,
% 217.85/140.45 (~v110(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6725, 6724, 6619])).
% 217.85/140.45 tff(6727,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6728,plain,
% 217.85/140.45 (v117(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2))))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6727, 656])).
% 217.85/140.45 tff(6729,plain,
% 217.85/140.45 ((v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2))) | (~v84(constB61, 0))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6730,plain,
% 217.85/140.45 (v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6729, 6695])).
% 217.85/140.45 tff(6731,plain,
% 217.85/140.45 ((~(v117(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))))) | (~v117(constB61)) | (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2))))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6732,plain,
% 217.85/140.45 ((~(v117(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))))) | (~v117(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6731, 6730])).
% 217.85/140.45 tff(6733,plain,
% 217.85/140.45 (~v117(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6732, 6728])).
% 217.85/140.45 tff(6734,plain,
% 217.85/140.45 ((~(v110(constB61) | v117(constB61))) | v110(constB61) | v117(constB61)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6735,plain,
% 217.85/140.45 ((~(v110(constB61) | v117(constB61))) | v110(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6734, 6733])).
% 217.85/140.45 tff(6736,plain,
% 217.85/140.45 (~(v110(constB61) | v117(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6735, 6726])).
% 217.85/140.45 tff(6737,plain,
% 217.85/140.45 ((~(v109(constB61) <=> (v110(constB61) | v117(constB61)))) | (~v109(constB61)) | (v110(constB61) | v117(constB61))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6738,plain,
% 217.85/140.45 (~v109(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6737, 6736, 6617])).
% 217.85/140.45 tff(6739,plain,
% 217.85/140.45 ((~(v109(constB61) | v118(constB61))) | v109(constB61) | v118(constB61)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6740,plain,
% 217.85/140.45 (~(v109(constB61) | v118(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6739, 6738, 6615])).
% 217.85/140.45 tff(6741,plain,
% 217.85/140.45 ((~(v108(constB61) <=> (v109(constB61) | v118(constB61)))) | (~v108(constB61)) | (v109(constB61) | v118(constB61))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6742,plain,
% 217.85/140.45 (~v108(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6741, 6740, 6363])).
% 217.85/140.45 tff(6743,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2)))))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6744,plain,
% 217.85/140.45 (v119(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6743, 318])).
% 217.85/140.45 tff(6745,plain,
% 217.85/140.45 ((v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))) | (~v84(constB61, 0))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6746,plain,
% 217.85/140.45 (v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6745, 6695])).
% 217.85/140.45 tff(6747,plain,
% 217.85/140.45 ((~(v119(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2)))))) | (~v119(constB61)) | (~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6748,plain,
% 217.85/140.45 ((~(v119(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2)))))) | (~v119(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6747, 6746])).
% 217.85/140.45 tff(6749,plain,
% 217.85/140.45 (~v119(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6748, 6744])).
% 217.85/140.45 tff(6750,plain,
% 217.85/140.45 ((~(v108(constB61) | v119(constB61))) | v108(constB61) | v119(constB61)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6751,plain,
% 217.85/140.45 ((~(v108(constB61) | v119(constB61))) | v108(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6750, 6749])).
% 217.85/140.45 tff(6752,plain,
% 217.85/140.45 (~(v108(constB61) | v119(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6751, 6742])).
% 217.85/140.45 tff(6753,plain,
% 217.85/140.45 ((~(v107(constB61) <=> (v108(constB61) | v119(constB61)))) | (~v107(constB61)) | (v108(constB61) | v119(constB61))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6754,plain,
% 217.85/140.45 (~v107(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6753, 6752, 6361])).
% 217.85/140.45 tff(6755,plain,
% 217.85/140.45 (((~v107(constB61)) | (~v120(constB61))) | v107(constB61)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6756,plain,
% 217.85/140.45 ((~v107(constB61)) | (~v120(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6755, 6754])).
% 217.85/140.45 tff(6757,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB61) <=> (~((~v107(constB61)) | (~v120(constB61)))))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6758,plain,
% 217.85/140.45 (v106(constB61) <=> (~((~v107(constB61)) | (~v120(constB61))))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6757, 132])).
% 217.85/140.45 tff(6759,plain,
% 217.85/140.45 ((~(v106(constB61) <=> (~((~v107(constB61)) | (~v120(constB61)))))) | (~v106(constB61)) | (~((~v107(constB61)) | (~v120(constB61))))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6760,plain,
% 217.85/140.45 ((~v106(constB61)) | (~((~v107(constB61)) | (~v120(constB61))))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6759, 6758])).
% 217.85/140.45 tff(6761,plain,
% 217.85/140.45 (~v106(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6760, 6756])).
% 217.85/140.45 tff(6762,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB61) <=> v26(constB61))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6763,plain,
% 217.85/140.45 (v105(constB61) <=> v26(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6762, 156])).
% 217.85/140.45 tff(6764,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6765,plain,
% 217.85/140.45 (~v26(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6764, 168])).
% 217.85/140.45 tff(6766,plain,
% 217.85/140.45 ((~(v105(constB61) <=> v26(constB61))) | (~v105(constB61)) | v26(constB61)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6767,plain,
% 217.85/140.45 ((~(v105(constB61) <=> v26(constB61))) | (~v105(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6766, 6765])).
% 217.85/140.45 tff(6768,plain,
% 217.85/140.45 (~v105(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6767, 6763])).
% 217.85/140.45 tff(6769,plain,
% 217.85/140.45 ((~(v105(constB61) | v106(constB61))) | v105(constB61) | v106(constB61)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6770,plain,
% 217.85/140.45 ((~(v105(constB61) | v106(constB61))) | v106(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6769, 6768])).
% 217.85/140.45 tff(6771,plain,
% 217.85/140.45 (~(v105(constB61) | v106(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6770, 6761])).
% 217.85/140.45 tff(6772,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB61) <=> (v105(constB61) | v106(constB61)))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6773,plain,
% 217.85/140.45 (v102(constB61) <=> (v105(constB61) | v106(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6772, 115])).
% 217.85/140.45 tff(6774,plain,
% 217.85/140.45 ((~(v102(constB61) <=> (v105(constB61) | v106(constB61)))) | (~v102(constB61)) | (v105(constB61) | v106(constB61))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6775,plain,
% 217.85/140.45 ((~v102(constB61)) | (v105(constB61) | v106(constB61))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6774, 6773])).
% 217.85/140.45 tff(6776,plain,
% 217.85/140.45 (~v102(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6775, 6771])).
% 217.85/140.45 tff(6777,plain,
% 217.85/140.45 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6778,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61')).
% 217.85/140.45 tff(6779,plain,
% 217.85/140.45 (nextState(constB61, constB62)),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6778, 6777])).
% 217.85/140.45 tff(6780,plain,
% 217.85/140.45 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61)))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6781,plain,
% 217.85/140.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61)))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6782,plain,
% 217.85/140.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61))),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 217.85/140.45 tff(6783,plain,
% 217.85/140.45 (v104(constB62) <=> v102(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6782, 6779, 101])).
% 217.85/140.45 tff(6784,plain,
% 217.85/140.45 ((~(v104(constB62) <=> v102(constB61))) | (~v104(constB62)) | v102(constB61)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6785,plain,
% 217.85/140.45 ((~v104(constB62)) | v102(constB61)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6784, 6783])).
% 217.85/140.45 tff(6786,plain,
% 217.85/140.45 (~v104(constB62)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6785, 6776])).
% 217.85/140.45 tff(6787,plain,
% 217.85/140.45 (((~v95(constB62)) | (~v104(constB62))) | v104(constB62)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6788,plain,
% 217.85/140.45 ((~v95(constB62)) | (~v104(constB62))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6787, 6786])).
% 217.85/140.45 tff(6789,plain,
% 217.85/140.45 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62))))))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6790,plain,
% 217.85/140.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62))))))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6791,plain,
% 217.85/140.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62)))))),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 217.85/140.45 tff(6792,plain,
% 217.85/140.45 (v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62))))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6791, 6779, 14])).
% 217.85/140.45 tff(6793,plain,
% 217.85/140.45 ((~(v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62)))))) | (~v94(constB62)) | (~((~v95(constB62)) | (~v104(constB62))))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6794,plain,
% 217.85/140.45 ((~v94(constB62)) | (~((~v95(constB62)) | (~v104(constB62))))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6793, 6792])).
% 217.85/140.45 tff(6795,plain,
% 217.85/140.45 (~v94(constB62)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6794, 6788])).
% 217.85/140.45 tff(6796,plain,
% 217.85/140.45 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB62) | (~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB62) | (~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B))))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6797,plain,
% 217.85/140.45 ((v94(constB62) | (~nextState(constB61, constB62)) | ![B: $int] : ((v84(constB62, B) <=> v84(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB62) | (~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B))))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6798,plain,
% 217.85/140.45 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB62) | (~nextState(constB61, constB62)) | ![B: $int] : ((v84(constB62, B) <=> v84(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB62) | (~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[6797])).
% 217.85/140.45 tff(6799,plain,
% 217.85/140.45 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB62) | (~nextState(constB61, constB62)) | ![B: $int] : ((v84(constB62, B) <=> v84(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB62) | (~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B))))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6798, 6796])).
% 217.85/140.45 tff(6800,plain,
% 217.85/140.45 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB62) | (~nextState(constB61, constB62)) | ![B: $int] : ((v84(constB62, B) <=> v84(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6801,plain,
% 217.85/140.45 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB62) | (~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6800, 6799])).
% 217.85/140.45 tff(6802,plain,
% 217.85/140.45 (v94(constB62) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6801, 6779, 235])).
% 217.85/140.45 tff(6803,plain,
% 217.85/140.45 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6802, 6795])).
% 217.85/140.45 tff(6804,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 1) <=> v84(constB61, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 1) <=> v84(constB61, 1)))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6805,plain,
% 217.85/140.45 (($false | $false | (v84(constB62, 1) <=> v84(constB61, 1))) <=> (v84(constB62, 1) <=> v84(constB61, 1))),
% 217.85/140.45 inference(rewrite,[status(thm)],[])).
% 217.85/140.45 tff(6806,plain,
% 217.85/140.45 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB62, 1) <=> v84(constB61, 1))) <=> ($false | $false | (v84(constB62, 1) <=> v84(constB61, 1)))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.45 tff(6807,plain,
% 217.85/140.45 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB62, 1) <=> v84(constB61, 1))) <=> (v84(constB62, 1) <=> v84(constB61, 1))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6806, 6805])).
% 217.85/140.45 tff(6808,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB62, 1) <=> v84(constB61, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 1) <=> v84(constB61, 1)))),
% 217.85/140.45 inference(monotonicity,[status(thm)],[6807])).
% 217.85/140.45 tff(6809,plain,
% 217.85/140.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB62, 1) <=> v84(constB61, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 1) <=> v84(constB61, 1)))),
% 217.85/140.45 inference(transitivity,[status(thm)],[6808, 6804])).
% 217.85/140.45 tff(6810,plain,
% 217.85/140.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB62, 1) <=> v84(constB61, 1)))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6811,plain,
% 217.85/140.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 1) <=> v84(constB61, 1))),
% 217.85/140.45 inference(modus_ponens,[status(thm)],[6810, 6809])).
% 217.85/140.45 tff(6812,plain,
% 217.85/140.45 (v84(constB62, 1) <=> v84(constB61, 1)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6811, 6803])).
% 217.85/140.45 tff(6813,plain,
% 217.85/140.45 ((~(v84(constB62, 1) <=> v84(constB61, 1))) | v84(constB62, 1) | (~v84(constB61, 1))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6814,plain,
% 217.85/140.45 ((~(v84(constB62, 1) <=> v84(constB61, 1))) | v84(constB62, 1)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6813, 6611])).
% 217.85/140.45 tff(6815,plain,
% 217.85/140.45 (v84(constB62, 1)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6814, 6812])).
% 217.85/140.45 tff(6816,plain,
% 217.85/140.45 ((~(v84(constB63, 1) <=> v84(constB62, 1))) | v84(constB63, 1) | (~v84(constB62, 1))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6817,plain,
% 217.85/140.45 ((~(v84(constB63, 1) <=> v84(constB62, 1))) | v84(constB63, 1)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6816, 6815])).
% 217.85/140.45 tff(6818,plain,
% 217.85/140.45 (v84(constB63, 1)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6817, 6359])).
% 217.85/140.45 tff(6819,plain,
% 217.85/140.45 ((v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))) | (~v84(constB63, 1))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6820,plain,
% 217.85/140.45 (v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6819, 6818])).
% 217.85/140.45 tff(6821,plain,
% 217.85/140.45 ((~(v114(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))))) | (~v114(constB63)) | (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6822,plain,
% 217.85/140.45 ((~(v114(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))))) | (~v114(constB63))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6821, 6820])).
% 217.85/140.45 tff(6823,plain,
% 217.85/140.45 (~v114(constB63)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6822, 6316])).
% 217.85/140.45 tff(6824,plain,
% 217.85/140.45 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))))),
% 217.85/140.45 inference(quant_inst,[status(thm)],[])).
% 217.85/140.45 tff(6825,plain,
% 217.85/140.45 (v113(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6824, 597])).
% 217.85/140.45 tff(6826,plain,
% 217.85/140.45 ((v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)) | (~v84(constB63, 1))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6827,plain,
% 217.85/140.45 (v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6826, 6818])).
% 217.85/140.45 tff(6828,plain,
% 217.85/140.45 ((~(v113(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))))) | (~v113(constB63)) | (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6829,plain,
% 217.85/140.45 ((~(v113(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))))) | (~v113(constB63))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6828, 6827])).
% 217.85/140.45 tff(6830,plain,
% 217.85/140.45 (~v113(constB63)),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6829, 6825])).
% 217.85/140.45 tff(6831,plain,
% 217.85/140.45 ((~(v113(constB63) | v114(constB63))) | v113(constB63) | v114(constB63)),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6832,plain,
% 217.85/140.45 (~(v113(constB63) | v114(constB63))),
% 217.85/140.45 inference(unit_resolution,[status(thm)],[6831, 6830, 6823])).
% 217.85/140.45 tff(6833,plain,
% 217.85/140.45 ((~(v112(constB63) <=> (v113(constB63) | v114(constB63)))) | (~v112(constB63)) | (v113(constB63) | v114(constB63))),
% 217.85/140.45 inference(tautology,[status(thm)],[])).
% 217.85/140.45 tff(6834,plain,
% 217.85/140.45 ((~(v112(constB63) <=> (v113(constB63) | v114(constB63)))) | (~v112(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6833, 6832])).
% 217.85/140.46 tff(6835,plain,
% 217.85/140.46 (~v112(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6834, 6314])).
% 217.85/140.46 tff(6836,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))))))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6837,plain,
% 217.85/140.46 ((v115(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 2) | (~v84(constB63, 1))))) <=> (v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6838,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 2) | (~v84(constB63, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))))))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[6837])).
% 217.85/140.46 tff(6839,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 2) | (~v84(constB63, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))))))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6838, 6836])).
% 217.85/140.46 tff(6840,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 2) | (~v84(constB63, 1)))))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6841,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))))),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[6840, 6839])).
% 217.85/140.46 tff(6842,plain,
% 217.85/140.46 (v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6841, 622])).
% 217.85/140.46 tff(6843,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 2) <=> v84(constB62, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 2) <=> v84(constB62, 2)))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6844,plain,
% 217.85/140.46 (($false | $false | (v84(constB63, 2) <=> v84(constB62, 2))) <=> (v84(constB63, 2) <=> v84(constB62, 2))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6845,plain,
% 217.85/140.46 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB63, 2) <=> v84(constB62, 2))) <=> ($false | $false | (v84(constB63, 2) <=> v84(constB62, 2)))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.46 tff(6846,plain,
% 217.85/140.46 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB63, 2) <=> v84(constB62, 2))) <=> (v84(constB63, 2) <=> v84(constB62, 2))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6845, 6844])).
% 217.85/140.46 tff(6847,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB63, 2) <=> v84(constB62, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 2) <=> v84(constB62, 2)))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[6846])).
% 217.85/140.46 tff(6848,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB63, 2) <=> v84(constB62, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 2) <=> v84(constB62, 2)))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6847, 6843])).
% 217.85/140.46 tff(6849,plain,
% 217.85/140.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB63, 2) <=> v84(constB62, 2)))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6850,plain,
% 217.85/140.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 2) <=> v84(constB62, 2))),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[6849, 6848])).
% 217.85/140.46 tff(6851,plain,
% 217.85/140.46 (v84(constB63, 2) <=> v84(constB62, 2)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6850, 6350])).
% 217.85/140.46 tff(6852,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 2) <=> v84(constB61, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 2) <=> v84(constB61, 2)))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6853,plain,
% 217.85/140.46 (($false | $false | (v84(constB62, 2) <=> v84(constB61, 2))) <=> (v84(constB62, 2) <=> v84(constB61, 2))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6854,plain,
% 217.85/140.46 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB62, 2) <=> v84(constB61, 2))) <=> ($false | $false | (v84(constB62, 2) <=> v84(constB61, 2)))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.46 tff(6855,plain,
% 217.85/140.46 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB62, 2) <=> v84(constB61, 2))) <=> (v84(constB62, 2) <=> v84(constB61, 2))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6854, 6853])).
% 217.85/140.46 tff(6856,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB62, 2) <=> v84(constB61, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 2) <=> v84(constB61, 2)))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[6855])).
% 217.85/140.46 tff(6857,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB62, 2) <=> v84(constB61, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 2) <=> v84(constB61, 2)))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6856, 6852])).
% 217.85/140.46 tff(6858,plain,
% 217.85/140.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB62, 2) <=> v84(constB61, 2)))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6859,plain,
% 217.85/140.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 2) <=> v84(constB61, 2))),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[6858, 6857])).
% 217.85/140.46 tff(6860,plain,
% 217.85/140.46 (v84(constB62, 2) <=> v84(constB61, 2)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6859, 6803])).
% 217.85/140.46 tff(6861,plain,
% 217.85/140.46 ((~(v84(constB62, 2) <=> v84(constB61, 2))) | v84(constB62, 2) | (~v84(constB61, 2))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6862,plain,
% 217.85/140.46 ((~(v84(constB62, 2) <=> v84(constB61, 2))) | v84(constB62, 2)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6861, 6650])).
% 217.85/140.46 tff(6863,plain,
% 217.85/140.46 (v84(constB62, 2)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6862, 6860])).
% 217.85/140.46 tff(6864,plain,
% 217.85/140.46 ((~(v84(constB63, 2) <=> v84(constB62, 2))) | v84(constB63, 2) | (~v84(constB62, 2))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6865,plain,
% 217.85/140.46 ((~(v84(constB63, 2) <=> v84(constB62, 2))) | v84(constB63, 2)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6864, 6863])).
% 217.85/140.46 tff(6866,plain,
% 217.85/140.46 (v84(constB63, 2)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6865, 6851])).
% 217.85/140.46 tff(6867,plain,
% 217.85/140.46 ((v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))) | (~v84(constB63, 2))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6868,plain,
% 217.85/140.46 (v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6867, 6866])).
% 217.85/140.46 tff(6869,plain,
% 217.85/140.46 ((~(v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))))) | (~v115(constB63)) | (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6870,plain,
% 217.85/140.46 ((~(v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))))) | (~v115(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6869, 6868])).
% 217.85/140.46 tff(6871,plain,
% 217.85/140.46 (~v115(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6870, 6842])).
% 217.85/140.46 tff(6872,plain,
% 217.85/140.46 ((~(v112(constB63) | v115(constB63))) | v112(constB63) | v115(constB63)),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6873,plain,
% 217.85/140.46 ((~(v112(constB63) | v115(constB63))) | v112(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6872, 6871])).
% 217.85/140.46 tff(6874,plain,
% 217.85/140.46 (~(v112(constB63) | v115(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6873, 6835])).
% 217.85/140.46 tff(6875,plain,
% 217.85/140.46 ((~(v111(constB63) <=> (v112(constB63) | v115(constB63)))) | (~v111(constB63)) | (v112(constB63) | v115(constB63))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6876,plain,
% 217.85/140.46 (~v111(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6875, 6874, 6312])).
% 217.85/140.46 tff(6877,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))))))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6878,plain,
% 217.85/140.46 ((v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 1)) | (~v84(constB63, 0))))) <=> (v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6879,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 1)) | (~v84(constB63, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))))))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[6878])).
% 217.85/140.46 tff(6880,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 1)) | (~v84(constB63, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))))))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6879, 6877])).
% 217.85/140.46 tff(6881,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 1)) | (~v84(constB63, 0)))))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6882,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))))),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[6881, 6880])).
% 217.85/140.46 tff(6883,plain,
% 217.85/140.46 (v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6882, 521])).
% 217.85/140.46 tff(6884,plain,
% 217.85/140.46 ((v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))) | (~v84(constB63, 2))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6885,plain,
% 217.85/140.46 (v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6884, 6866])).
% 217.85/140.46 tff(6886,plain,
% 217.85/140.46 ((~(v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))))) | (~v116(constB63)) | (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6887,plain,
% 217.85/140.46 ((~(v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))))) | (~v116(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6886, 6885])).
% 217.85/140.46 tff(6888,plain,
% 217.85/140.46 (~v116(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6887, 6883])).
% 217.85/140.46 tff(6889,plain,
% 217.85/140.46 ((~(v111(constB63) | v116(constB63))) | v111(constB63) | v116(constB63)),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6890,plain,
% 217.85/140.46 ((~(v111(constB63) | v116(constB63))) | v111(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6889, 6888])).
% 217.85/140.46 tff(6891,plain,
% 217.85/140.46 (~(v111(constB63) | v116(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6890, 6876])).
% 217.85/140.46 tff(6892,plain,
% 217.85/140.46 ((~(v110(constB63) <=> (v111(constB63) | v116(constB63)))) | (~v110(constB63)) | (v111(constB63) | v116(constB63))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6893,plain,
% 217.85/140.46 (~v110(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6892, 6891, 6310])).
% 217.85/140.46 tff(6894,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6895,plain,
% 217.85/140.46 ((v117(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2))))) <=> (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6896,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[6895])).
% 217.85/140.46 tff(6897,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6896, 6894])).
% 217.85/140.46 tff(6898,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2)))))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6899,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 217.85/140.46 tff(6900,plain,
% 217.85/140.46 (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6899, 656])).
% 217.85/140.46 tff(6901,plain,
% 217.85/140.46 ((v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))) | (~v84(constB63, 1))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6902,plain,
% 217.85/140.46 (v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6901, 6818])).
% 217.85/140.46 tff(6903,plain,
% 217.85/140.46 ((~(v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))) | (~v117(constB63)) | (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6904,plain,
% 217.85/140.46 ((~(v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))) | (~v117(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6903, 6902])).
% 217.85/140.46 tff(6905,plain,
% 217.85/140.46 (~v117(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6904, 6900])).
% 217.85/140.46 tff(6906,plain,
% 217.85/140.46 ((~(v110(constB63) | v117(constB63))) | v110(constB63) | v117(constB63)),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6907,plain,
% 217.85/140.46 ((~(v110(constB63) | v117(constB63))) | v110(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6906, 6905])).
% 217.85/140.46 tff(6908,plain,
% 217.85/140.46 (~(v110(constB63) | v117(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6907, 6893])).
% 217.85/140.46 tff(6909,plain,
% 217.85/140.46 ((~(v109(constB63) <=> (v110(constB63) | v117(constB63)))) | (~v109(constB63)) | (v110(constB63) | v117(constB63))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6910,plain,
% 217.85/140.46 (~v109(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6909, 6908, 6308])).
% 217.85/140.46 tff(6911,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB63) <=> (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6912,plain,
% 217.85/140.46 (v118(constB63) <=> (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2))))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6911, 394])).
% 217.85/140.46 tff(6913,plain,
% 217.85/140.46 ((v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2))) | (~v84(constB63, 1))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6914,plain,
% 217.85/140.46 (v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6913, 6818])).
% 217.85/140.46 tff(6915,plain,
% 217.85/140.46 ((~(v118(constB63) <=> (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))))) | (~v118(constB63)) | (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2))))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6916,plain,
% 217.85/140.46 ((~(v118(constB63) <=> (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))))) | (~v118(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6915, 6914])).
% 217.85/140.46 tff(6917,plain,
% 217.85/140.46 (~v118(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6916, 6912])).
% 217.85/140.46 tff(6918,plain,
% 217.85/140.46 ((~(v109(constB63) | v118(constB63))) | v109(constB63) | v118(constB63)),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6919,plain,
% 217.85/140.46 ((~(v109(constB63) | v118(constB63))) | v109(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6918, 6917])).
% 217.85/140.46 tff(6920,plain,
% 217.85/140.46 (~(v109(constB63) | v118(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6919, 6910])).
% 217.85/140.46 tff(6921,plain,
% 217.85/140.46 ((~(v108(constB63) <=> (v109(constB63) | v118(constB63)))) | (~v108(constB63)) | (v109(constB63) | v118(constB63))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6922,plain,
% 217.85/140.46 (~v108(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6921, 6920, 6306])).
% 217.85/140.46 tff(6923,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))))))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6924,plain,
% 217.85/140.46 ((v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 1)) | (~v84(constB63, 2))))) <=> (v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6925,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 1)) | (~v84(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))))))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[6924])).
% 217.85/140.46 tff(6926,plain,
% 217.85/140.46 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 1)) | (~v84(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))))))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6925, 6923])).
% 217.85/140.46 tff(6927,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 1)) | (~v84(constB63, 2)))))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6928,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))))),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[6927, 6926])).
% 217.85/140.46 tff(6929,plain,
% 217.85/140.46 (v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6928, 318])).
% 217.85/140.46 tff(6930,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 0) <=> v84(constB62, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 0) <=> v84(constB62, 0)))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6931,plain,
% 217.85/140.46 (($false | $false | (v84(constB63, 0) <=> v84(constB62, 0))) <=> (v84(constB63, 0) <=> v84(constB62, 0))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6932,plain,
% 217.85/140.46 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB63, 0) <=> v84(constB62, 0))) <=> ($false | $false | (v84(constB63, 0) <=> v84(constB62, 0)))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[250, 249])).
% 217.85/140.46 tff(6933,plain,
% 217.85/140.46 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB63, 0) <=> v84(constB62, 0))) <=> (v84(constB63, 0) <=> v84(constB62, 0))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6932, 6931])).
% 217.85/140.46 tff(6934,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB63, 0) <=> v84(constB62, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 0) <=> v84(constB62, 0)))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[6933])).
% 217.85/140.46 tff(6935,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB63, 0) <=> v84(constB62, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 0) <=> v84(constB62, 0)))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6934, 6930])).
% 217.85/140.46 tff(6936,plain,
% 217.85/140.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB63, 0) <=> v84(constB62, 0)))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6937,plain,
% 217.85/140.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB63, B) <=> v84(constB62, B)))) | (v84(constB63, 0) <=> v84(constB62, 0))),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 217.85/140.46 tff(6938,plain,
% 217.85/140.46 (v84(constB63, 0) <=> v84(constB62, 0)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6937, 6350])).
% 217.85/140.46 tff(6939,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 0) <=> v84(constB61, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 0) <=> v84(constB61, 0)))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6940,plain,
% 217.85/140.46 (($false | $false | (v84(constB62, 0) <=> v84(constB61, 0))) <=> (v84(constB62, 0) <=> v84(constB61, 0))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6941,plain,
% 217.85/140.46 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB62, 0) <=> v84(constB61, 0))) <=> ($false | $false | (v84(constB62, 0) <=> v84(constB61, 0)))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[250, 249])).
% 217.85/140.46 tff(6942,plain,
% 217.85/140.46 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB62, 0) <=> v84(constB61, 0))) <=> (v84(constB62, 0) <=> v84(constB61, 0))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6941, 6940])).
% 217.85/140.46 tff(6943,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB62, 0) <=> v84(constB61, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 0) <=> v84(constB61, 0)))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[6942])).
% 217.85/140.46 tff(6944,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB62, 0) <=> v84(constB61, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 0) <=> v84(constB61, 0)))),
% 217.85/140.46 inference(transitivity,[status(thm)],[6943, 6939])).
% 217.85/140.46 tff(6945,plain,
% 217.85/140.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB62, 0) <=> v84(constB61, 0)))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6946,plain,
% 217.85/140.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))) | (v84(constB62, 0) <=> v84(constB61, 0))),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[6945, 6944])).
% 217.85/140.46 tff(6947,plain,
% 217.85/140.46 (v84(constB62, 0) <=> v84(constB61, 0)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6946, 6803])).
% 217.85/140.46 tff(6948,plain,
% 217.85/140.46 ((~(v84(constB62, 0) <=> v84(constB61, 0))) | v84(constB62, 0) | (~v84(constB61, 0))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6949,plain,
% 217.85/140.46 ((~(v84(constB62, 0) <=> v84(constB61, 0))) | v84(constB62, 0)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6948, 6695])).
% 217.85/140.46 tff(6950,plain,
% 217.85/140.46 (v84(constB62, 0)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6949, 6947])).
% 217.85/140.46 tff(6951,plain,
% 217.85/140.46 ((~(v84(constB63, 0) <=> v84(constB62, 0))) | v84(constB63, 0) | (~v84(constB62, 0))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6952,plain,
% 217.85/140.46 ((~(v84(constB63, 0) <=> v84(constB62, 0))) | v84(constB63, 0)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6951, 6950])).
% 217.85/140.46 tff(6953,plain,
% 217.85/140.46 (v84(constB63, 0)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6952, 6938])).
% 217.85/140.46 tff(6954,plain,
% 217.85/140.46 ((v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))) | (~v84(constB63, 0))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6955,plain,
% 217.85/140.46 (v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6954, 6953])).
% 217.85/140.46 tff(6956,plain,
% 217.85/140.46 ((~(v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))))) | (~v119(constB63)) | (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6957,plain,
% 217.85/140.46 ((~(v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))))) | (~v119(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6956, 6955])).
% 217.85/140.46 tff(6958,plain,
% 217.85/140.46 (~v119(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6957, 6929])).
% 217.85/140.46 tff(6959,plain,
% 217.85/140.46 ((~(v108(constB63) | v119(constB63))) | v108(constB63) | v119(constB63)),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6960,plain,
% 217.85/140.46 ((~(v108(constB63) | v119(constB63))) | v108(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6959, 6958])).
% 217.85/140.46 tff(6961,plain,
% 217.85/140.46 (~(v108(constB63) | v119(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6960, 6922])).
% 217.85/140.46 tff(6962,plain,
% 217.85/140.46 ((~(v107(constB63) <=> (v108(constB63) | v119(constB63)))) | (~v107(constB63)) | (v108(constB63) | v119(constB63))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6963,plain,
% 217.85/140.46 (~v107(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6962, 6961, 6304])).
% 217.85/140.46 tff(6964,plain,
% 217.85/140.46 (((~v107(constB63)) | (~v120(constB63))) | v107(constB63)),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6965,plain,
% 217.85/140.46 ((~v107(constB63)) | (~v120(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6964, 6963])).
% 217.85/140.46 tff(6966,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB63) <=> (~((~v107(constB63)) | (~v120(constB63)))))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6967,plain,
% 217.85/140.46 (v106(constB63) <=> (~((~v107(constB63)) | (~v120(constB63))))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6966, 132])).
% 217.85/140.46 tff(6968,plain,
% 217.85/140.46 ((~(v106(constB63) <=> (~((~v107(constB63)) | (~v120(constB63)))))) | (~v106(constB63)) | (~((~v107(constB63)) | (~v120(constB63))))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6969,plain,
% 217.85/140.46 ((~v106(constB63)) | (~((~v107(constB63)) | (~v120(constB63))))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6968, 6967])).
% 217.85/140.46 tff(6970,plain,
% 217.85/140.46 (~v106(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6969, 6965])).
% 217.85/140.46 tff(6971,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB63) <=> v26(constB63))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6972,plain,
% 217.85/140.46 (v105(constB63) <=> v26(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6971, 156])).
% 217.85/140.46 tff(6973,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6974,plain,
% 217.85/140.46 (~v26(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6973, 168])).
% 217.85/140.46 tff(6975,plain,
% 217.85/140.46 ((~(v105(constB63) <=> v26(constB63))) | (~v105(constB63)) | v26(constB63)),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6976,plain,
% 217.85/140.46 ((~(v105(constB63) <=> v26(constB63))) | (~v105(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6975, 6974])).
% 217.85/140.46 tff(6977,plain,
% 217.85/140.46 (~v105(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6976, 6972])).
% 217.85/140.46 tff(6978,plain,
% 217.85/140.46 ((~(v105(constB63) | v106(constB63))) | v105(constB63) | v106(constB63)),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6979,plain,
% 217.85/140.46 ((~(v105(constB63) | v106(constB63))) | v106(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6978, 6977])).
% 217.85/140.46 tff(6980,plain,
% 217.85/140.46 (~(v105(constB63) | v106(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6979, 6970])).
% 217.85/140.46 tff(6981,plain,
% 217.85/140.46 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB63) <=> (v105(constB63) | v106(constB63)))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6982,plain,
% 217.85/140.46 (v102(constB63) <=> (v105(constB63) | v106(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6981, 115])).
% 217.85/140.46 tff(6983,plain,
% 217.85/140.46 ((~(v102(constB63) <=> (v105(constB63) | v106(constB63)))) | (~v102(constB63)) | (v105(constB63) | v106(constB63))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6984,plain,
% 217.85/140.46 ((~v102(constB63)) | (v105(constB63) | v106(constB63))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6983, 6982])).
% 217.85/140.46 tff(6985,plain,
% 217.85/140.46 (~v102(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6984, 6980])).
% 217.85/140.46 tff(6986,plain,
% 217.85/140.46 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6987,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63')).
% 217.85/140.46 tff(6988,plain,
% 217.85/140.46 (nextState(constB63, constB64)),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[6987, 6986])).
% 217.85/140.46 tff(6989,plain,
% 217.85/140.46 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63)))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6990,plain,
% 217.85/140.46 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63)))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(6991,plain,
% 217.85/140.46 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63))),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[6990, 6989])).
% 217.85/140.46 tff(6992,plain,
% 217.85/140.46 (v104(constB64) <=> v102(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6991, 6988, 101])).
% 217.85/140.46 tff(6993,plain,
% 217.85/140.46 ((~(v104(constB64) <=> v102(constB63))) | (~v104(constB64)) | v102(constB63)),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6994,plain,
% 217.85/140.46 ((~v104(constB64)) | v102(constB63)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6993, 6992])).
% 217.85/140.46 tff(6995,plain,
% 217.85/140.46 (~v104(constB64)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6994, 6985])).
% 217.85/140.46 tff(6996,plain,
% 217.85/140.46 (((~v95(constB64)) | (~v104(constB64))) | v104(constB64)),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(6997,plain,
% 217.85/140.46 ((~v95(constB64)) | (~v104(constB64))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[6996, 6995])).
% 217.85/140.46 tff(6998,plain,
% 217.85/140.46 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64))))))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(6999,plain,
% 217.85/140.46 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64))))))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(7000,plain,
% 217.85/140.46 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64)))))),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 217.85/140.46 tff(7001,plain,
% 217.85/140.46 (v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64))))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[7000, 6988, 14])).
% 217.85/140.46 tff(7002,plain,
% 217.85/140.46 ((~(v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64)))))) | (~v94(constB64)) | (~((~v95(constB64)) | (~v104(constB64))))),
% 217.85/140.46 inference(tautology,[status(thm)],[])).
% 217.85/140.46 tff(7003,plain,
% 217.85/140.46 ((~v94(constB64)) | (~((~v95(constB64)) | (~v104(constB64))))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[7002, 7001])).
% 217.85/140.46 tff(7004,plain,
% 217.85/140.46 (~v94(constB64)),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[7003, 6997])).
% 217.85/140.46 tff(7005,plain,
% 217.85/140.46 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB64) | (~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB64) | (~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B))))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(7006,plain,
% 217.85/140.46 ((v94(constB64) | (~nextState(constB63, constB64)) | ![B: $int] : ((v84(constB64, B) <=> v84(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB64) | (~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B))))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(7007,plain,
% 217.85/140.46 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB64) | (~nextState(constB63, constB64)) | ![B: $int] : ((v84(constB64, B) <=> v84(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB64) | (~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[7006])).
% 217.85/140.46 tff(7008,plain,
% 217.85/140.46 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB64) | (~nextState(constB63, constB64)) | ![B: $int] : ((v84(constB64, B) <=> v84(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB64) | (~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B))))),
% 217.85/140.46 inference(transitivity,[status(thm)],[7007, 7005])).
% 217.85/140.46 tff(7009,plain,
% 217.85/140.46 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB64) | (~nextState(constB63, constB64)) | ![B: $int] : ((v84(constB64, B) <=> v84(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.85/140.46 inference(quant_inst,[status(thm)],[])).
% 217.85/140.46 tff(7010,plain,
% 217.85/140.46 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB64) | (~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))),
% 217.85/140.46 inference(modus_ponens,[status(thm)],[7009, 7008])).
% 217.85/140.46 tff(7011,plain,
% 217.85/140.46 (v94(constB64) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[7010, 6988, 235])).
% 217.85/140.46 tff(7012,plain,
% 217.85/140.46 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))),
% 217.85/140.46 inference(unit_resolution,[status(thm)],[7011, 7004])).
% 217.85/140.46 tff(7013,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 1) <=> v84(constB63, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 1) <=> v84(constB63, 1)))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(7014,plain,
% 217.85/140.46 (($false | $false | (v84(constB64, 1) <=> v84(constB63, 1))) <=> (v84(constB64, 1) <=> v84(constB63, 1))),
% 217.85/140.46 inference(rewrite,[status(thm)],[])).
% 217.85/140.46 tff(7015,plain,
% 217.85/140.46 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB64, 1) <=> v84(constB63, 1))) <=> ($false | $false | (v84(constB64, 1) <=> v84(constB63, 1)))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.46 tff(7016,plain,
% 217.85/140.46 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB64, 1) <=> v84(constB63, 1))) <=> (v84(constB64, 1) <=> v84(constB63, 1))),
% 217.85/140.46 inference(transitivity,[status(thm)],[7015, 7014])).
% 217.85/140.46 tff(7017,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB64, 1) <=> v84(constB63, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 1) <=> v84(constB63, 1)))),
% 217.85/140.46 inference(monotonicity,[status(thm)],[7016])).
% 217.85/140.46 tff(7018,plain,
% 217.85/140.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB64, 1) <=> v84(constB63, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 1) <=> v84(constB63, 1)))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7017, 7013])).
% 217.85/140.47 tff(7019,plain,
% 217.85/140.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB64, 1) <=> v84(constB63, 1)))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7020,plain,
% 217.85/140.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 1) <=> v84(constB63, 1))),
% 217.85/140.47 inference(modus_ponens,[status(thm)],[7019, 7018])).
% 217.85/140.47 tff(7021,plain,
% 217.85/140.47 (v84(constB64, 1) <=> v84(constB63, 1)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7020, 7012])).
% 217.85/140.47 tff(7022,plain,
% 217.85/140.47 ((~(v84(constB64, 1) <=> v84(constB63, 1))) | v84(constB64, 1) | (~v84(constB63, 1))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7023,plain,
% 217.85/140.47 ((~(v84(constB64, 1) <=> v84(constB63, 1))) | v84(constB64, 1)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7022, 6818])).
% 217.85/140.47 tff(7024,plain,
% 217.85/140.47 (v84(constB64, 1)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7023, 7021])).
% 217.85/140.47 tff(7025,plain,
% 217.85/140.47 ((~(v84(constB65, 1) <=> v84(constB64, 1))) | v84(constB65, 1) | (~v84(constB64, 1))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7026,plain,
% 217.85/140.47 ((~(v84(constB65, 1) <=> v84(constB64, 1))) | v84(constB65, 1)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7025, 7024])).
% 217.85/140.47 tff(7027,plain,
% 217.85/140.47 (v84(constB65, 1)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7026, 6302])).
% 217.85/140.47 tff(7028,plain,
% 217.85/140.47 ((v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))) | (~v84(constB65, 1))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7029,plain,
% 217.85/140.47 (v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7028, 7027])).
% 217.85/140.47 tff(7030,plain,
% 217.85/140.47 ((~(v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))))) | (~v114(constB65)) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7031,plain,
% 217.85/140.47 ((~(v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))))) | (~v114(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7030, 7029])).
% 217.85/140.47 tff(7032,plain,
% 217.85/140.47 (~v114(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7031, 6259])).
% 217.85/140.47 tff(7033,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7034,plain,
% 217.85/140.47 (v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7033, 597])).
% 217.85/140.47 tff(7035,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 0) <=> v84(constB64, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 0) <=> v84(constB64, 0)))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7036,plain,
% 217.85/140.47 (($false | $false | (v84(constB65, 0) <=> v84(constB64, 0))) <=> (v84(constB65, 0) <=> v84(constB64, 0))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7037,plain,
% 217.85/140.47 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB65, 0) <=> v84(constB64, 0))) <=> ($false | $false | (v84(constB65, 0) <=> v84(constB64, 0)))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[250, 249])).
% 217.85/140.47 tff(7038,plain,
% 217.85/140.47 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB65, 0) <=> v84(constB64, 0))) <=> (v84(constB65, 0) <=> v84(constB64, 0))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7037, 7036])).
% 217.85/140.47 tff(7039,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB65, 0) <=> v84(constB64, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 0) <=> v84(constB64, 0)))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[7038])).
% 217.85/140.47 tff(7040,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB65, 0) <=> v84(constB64, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 0) <=> v84(constB64, 0)))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7039, 7035])).
% 217.85/140.47 tff(7041,plain,
% 217.85/140.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB65, 0) <=> v84(constB64, 0)))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7042,plain,
% 217.85/140.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 0) <=> v84(constB64, 0))),
% 217.85/140.47 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 217.85/140.47 tff(7043,plain,
% 217.85/140.47 (v84(constB65, 0) <=> v84(constB64, 0)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7042, 6293])).
% 217.85/140.47 tff(7044,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 0) <=> v84(constB63, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 0) <=> v84(constB63, 0)))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7045,plain,
% 217.85/140.47 (($false | $false | (v84(constB64, 0) <=> v84(constB63, 0))) <=> (v84(constB64, 0) <=> v84(constB63, 0))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7046,plain,
% 217.85/140.47 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB64, 0) <=> v84(constB63, 0))) <=> ($false | $false | (v84(constB64, 0) <=> v84(constB63, 0)))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[250, 249])).
% 217.85/140.47 tff(7047,plain,
% 217.85/140.47 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB64, 0) <=> v84(constB63, 0))) <=> (v84(constB64, 0) <=> v84(constB63, 0))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7046, 7045])).
% 217.85/140.47 tff(7048,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB64, 0) <=> v84(constB63, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 0) <=> v84(constB63, 0)))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[7047])).
% 217.85/140.47 tff(7049,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB64, 0) <=> v84(constB63, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 0) <=> v84(constB63, 0)))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7048, 7044])).
% 217.85/140.47 tff(7050,plain,
% 217.85/140.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB64, 0) <=> v84(constB63, 0)))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7051,plain,
% 217.85/140.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 0) <=> v84(constB63, 0))),
% 217.85/140.47 inference(modus_ponens,[status(thm)],[7050, 7049])).
% 217.85/140.47 tff(7052,plain,
% 217.85/140.47 (v84(constB64, 0) <=> v84(constB63, 0)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7051, 7012])).
% 217.85/140.47 tff(7053,plain,
% 217.85/140.47 ((~(v84(constB64, 0) <=> v84(constB63, 0))) | v84(constB64, 0) | (~v84(constB63, 0))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7054,plain,
% 217.85/140.47 ((~(v84(constB64, 0) <=> v84(constB63, 0))) | v84(constB64, 0)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7053, 6953])).
% 217.85/140.47 tff(7055,plain,
% 217.85/140.47 (v84(constB64, 0)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7054, 7052])).
% 217.85/140.47 tff(7056,plain,
% 217.85/140.47 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | v84(constB65, 0) | (~v84(constB64, 0))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7057,plain,
% 217.85/140.47 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | v84(constB65, 0)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7056, 7055])).
% 217.85/140.47 tff(7058,plain,
% 217.85/140.47 (v84(constB65, 0)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7057, 7043])).
% 217.85/140.47 tff(7059,plain,
% 217.85/140.47 ((v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)) | (~v84(constB65, 0))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7060,plain,
% 217.85/140.47 (v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7059, 7058])).
% 217.85/140.47 tff(7061,plain,
% 217.85/140.47 ((~(v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))))) | (~v113(constB65)) | (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7062,plain,
% 217.85/140.47 ((~(v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))))) | (~v113(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7061, 7060])).
% 217.85/140.47 tff(7063,plain,
% 217.85/140.47 (~v113(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7062, 7034])).
% 217.85/140.47 tff(7064,plain,
% 217.85/140.47 ((~(v113(constB65) | v114(constB65))) | v113(constB65) | v114(constB65)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7065,plain,
% 217.85/140.47 (~(v113(constB65) | v114(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7064, 7063, 7032])).
% 217.85/140.47 tff(7066,plain,
% 217.85/140.47 ((~(v112(constB65) <=> (v113(constB65) | v114(constB65)))) | (~v112(constB65)) | (v113(constB65) | v114(constB65))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7067,plain,
% 217.85/140.47 ((~(v112(constB65) <=> (v113(constB65) | v114(constB65)))) | (~v112(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7066, 7065])).
% 217.85/140.47 tff(7068,plain,
% 217.85/140.47 (~v112(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7067, 6257])).
% 217.85/140.47 tff(7069,plain,
% 217.85/140.47 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)))))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7070,plain,
% 217.85/140.47 ((v115(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 2) | (~v84(constB65, 1))))) <=> (v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7071,plain,
% 217.85/140.47 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 2) | (~v84(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)))))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[7070])).
% 217.85/140.47 tff(7072,plain,
% 217.85/140.47 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 2) | (~v84(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)))))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7071, 7069])).
% 217.85/140.47 tff(7073,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 2) | (~v84(constB65, 1)))))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7074,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))))),
% 217.85/140.47 inference(modus_ponens,[status(thm)],[7073, 7072])).
% 217.85/140.47 tff(7075,plain,
% 217.85/140.47 (v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7074, 622])).
% 217.85/140.47 tff(7076,plain,
% 217.85/140.47 ((v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)) | (~v84(constB65, 0))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7077,plain,
% 217.85/140.47 (v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7076, 7058])).
% 217.85/140.47 tff(7078,plain,
% 217.85/140.47 ((~(v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))))) | (~v115(constB65)) | (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7079,plain,
% 217.85/140.47 ((~(v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))))) | (~v115(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7078, 7077])).
% 217.85/140.47 tff(7080,plain,
% 217.85/140.47 (~v115(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7079, 7075])).
% 217.85/140.47 tff(7081,plain,
% 217.85/140.47 ((~(v112(constB65) | v115(constB65))) | v112(constB65) | v115(constB65)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7082,plain,
% 217.85/140.47 ((~(v112(constB65) | v115(constB65))) | v112(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7081, 7080])).
% 217.85/140.47 tff(7083,plain,
% 217.85/140.47 (~(v112(constB65) | v115(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7082, 7068])).
% 217.85/140.47 tff(7084,plain,
% 217.85/140.47 ((~(v111(constB65) <=> (v112(constB65) | v115(constB65)))) | (~v111(constB65)) | (v112(constB65) | v115(constB65))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7085,plain,
% 217.85/140.47 (~v111(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7084, 7083, 6255])).
% 217.85/140.47 tff(7086,plain,
% 217.85/140.47 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))))))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7087,plain,
% 217.85/140.47 ((v116(constB65) <=> (~(v84(constB65, 2) | (~v84(constB65, 1)) | (~v84(constB65, 0))))) <=> (v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7088,plain,
% 217.85/140.47 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB65) <=> (~(v84(constB65, 2) | (~v84(constB65, 1)) | (~v84(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))))))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[7087])).
% 217.85/140.47 tff(7089,plain,
% 217.85/140.47 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB65) <=> (~(v84(constB65, 2) | (~v84(constB65, 1)) | (~v84(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))))))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7088, 7086])).
% 217.85/140.47 tff(7090,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB65) <=> (~(v84(constB65, 2) | (~v84(constB65, 1)) | (~v84(constB65, 0)))))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7091,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))))),
% 217.85/140.47 inference(modus_ponens,[status(thm)],[7090, 7089])).
% 217.85/140.47 tff(7092,plain,
% 217.85/140.47 (v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7091, 521])).
% 217.85/140.47 tff(7093,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 2) <=> v84(constB64, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 2) <=> v84(constB64, 2)))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7094,plain,
% 217.85/140.47 (($false | $false | (v84(constB65, 2) <=> v84(constB64, 2))) <=> (v84(constB65, 2) <=> v84(constB64, 2))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7095,plain,
% 217.85/140.47 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB65, 2) <=> v84(constB64, 2))) <=> ($false | $false | (v84(constB65, 2) <=> v84(constB64, 2)))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.47 tff(7096,plain,
% 217.85/140.47 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB65, 2) <=> v84(constB64, 2))) <=> (v84(constB65, 2) <=> v84(constB64, 2))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7095, 7094])).
% 217.85/140.47 tff(7097,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB65, 2) <=> v84(constB64, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 2) <=> v84(constB64, 2)))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[7096])).
% 217.85/140.47 tff(7098,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB65, 2) <=> v84(constB64, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 2) <=> v84(constB64, 2)))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7097, 7093])).
% 217.85/140.47 tff(7099,plain,
% 217.85/140.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB65, 2) <=> v84(constB64, 2)))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7100,plain,
% 217.85/140.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB65, B) <=> v84(constB64, B)))) | (v84(constB65, 2) <=> v84(constB64, 2))),
% 217.85/140.47 inference(modus_ponens,[status(thm)],[7099, 7098])).
% 217.85/140.47 tff(7101,plain,
% 217.85/140.47 (v84(constB65, 2) <=> v84(constB64, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7100, 6293])).
% 217.85/140.47 tff(7102,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 2) <=> v84(constB63, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 2) <=> v84(constB63, 2)))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7103,plain,
% 217.85/140.47 (($false | $false | (v84(constB64, 2) <=> v84(constB63, 2))) <=> (v84(constB64, 2) <=> v84(constB63, 2))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7104,plain,
% 217.85/140.47 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB64, 2) <=> v84(constB63, 2))) <=> ($false | $false | (v84(constB64, 2) <=> v84(constB63, 2)))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.47 tff(7105,plain,
% 217.85/140.47 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB64, 2) <=> v84(constB63, 2))) <=> (v84(constB64, 2) <=> v84(constB63, 2))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7104, 7103])).
% 217.85/140.47 tff(7106,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB64, 2) <=> v84(constB63, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 2) <=> v84(constB63, 2)))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[7105])).
% 217.85/140.47 tff(7107,plain,
% 217.85/140.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB64, 2) <=> v84(constB63, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 2) <=> v84(constB63, 2)))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7106, 7102])).
% 217.85/140.47 tff(7108,plain,
% 217.85/140.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB64, 2) <=> v84(constB63, 2)))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7109,plain,
% 217.85/140.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (v84(constB64, 2) <=> v84(constB63, 2))),
% 217.85/140.47 inference(modus_ponens,[status(thm)],[7108, 7107])).
% 217.85/140.47 tff(7110,plain,
% 217.85/140.47 (v84(constB64, 2) <=> v84(constB63, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7109, 7012])).
% 217.85/140.47 tff(7111,plain,
% 217.85/140.47 ((~(v84(constB64, 2) <=> v84(constB63, 2))) | v84(constB64, 2) | (~v84(constB63, 2))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7112,plain,
% 217.85/140.47 ((~(v84(constB64, 2) <=> v84(constB63, 2))) | v84(constB64, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7111, 6866])).
% 217.85/140.47 tff(7113,plain,
% 217.85/140.47 (v84(constB64, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7112, 7110])).
% 217.85/140.47 tff(7114,plain,
% 217.85/140.47 ((~(v84(constB65, 2) <=> v84(constB64, 2))) | v84(constB65, 2) | (~v84(constB64, 2))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7115,plain,
% 217.85/140.47 ((~(v84(constB65, 2) <=> v84(constB64, 2))) | v84(constB65, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7114, 7113])).
% 217.85/140.47 tff(7116,plain,
% 217.85/140.47 (v84(constB65, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7115, 7101])).
% 217.85/140.47 tff(7117,plain,
% 217.85/140.47 (((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))) | (~v84(constB65, 2))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7118,plain,
% 217.85/140.47 ((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7117, 7116])).
% 217.85/140.47 tff(7119,plain,
% 217.85/140.47 ((~(v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))))) | (~v116(constB65)) | (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7120,plain,
% 217.85/140.47 ((~(v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))))) | (~v116(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7119, 7118])).
% 217.85/140.47 tff(7121,plain,
% 217.85/140.47 (~v116(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7120, 7092])).
% 217.85/140.47 tff(7122,plain,
% 217.85/140.47 ((~(v111(constB65) | v116(constB65))) | v111(constB65) | v116(constB65)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7123,plain,
% 217.85/140.47 ((~(v111(constB65) | v116(constB65))) | v111(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7122, 7121])).
% 217.85/140.47 tff(7124,plain,
% 217.85/140.47 (~(v111(constB65) | v116(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7123, 7085])).
% 217.85/140.47 tff(7125,plain,
% 217.85/140.47 ((~(v110(constB65) <=> (v111(constB65) | v116(constB65)))) | (~v110(constB65)) | (v111(constB65) | v116(constB65))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7126,plain,
% 217.85/140.47 (~v110(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7125, 7124, 6253])).
% 217.85/140.47 tff(7127,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7128,plain,
% 217.85/140.47 (v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7127, 656])).
% 217.85/140.47 tff(7129,assumption,(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))), introduced(assumption)).
% 217.85/140.47 tff(7130,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))), introduced(assumption)).
% 217.85/140.47 tff(7131,plain,
% 217.85/140.47 (v84(constB64, 0) <=> v84(constB63, 0)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7051, 7130])).
% 217.85/140.47 tff(7132,assumption,(~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))), introduced(assumption)).
% 217.85/140.47 tff(7133,plain,
% 217.85/140.47 ((v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))) | (~v84(constB65, 0))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7134,plain,
% 217.85/140.47 (~v84(constB65, 0)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7133, 7132])).
% 217.85/140.47 tff(7135,plain,
% 217.85/140.47 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | (~v84(constB64, 0))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7056, 7134])).
% 217.85/140.47 tff(7136,plain,
% 217.85/140.47 (~v84(constB64, 0)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7135, 7043])).
% 217.85/140.47 tff(7137,plain,
% 217.85/140.47 ((~(v84(constB64, 0) <=> v84(constB63, 0))) | (~v84(constB63, 0))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7053, 7136])).
% 217.85/140.47 tff(7138,plain,
% 217.85/140.47 (~v84(constB63, 0)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7137, 7131])).
% 217.85/140.47 tff(7139,plain,
% 217.85/140.47 (v84(constB64, 1) <=> v84(constB63, 1)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7020, 7130])).
% 217.85/140.47 tff(7140,plain,
% 217.85/140.47 ((v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))) | (~v84(constB65, 1))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7141,plain,
% 217.85/140.47 (~v84(constB65, 1)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7140, 7132])).
% 217.85/140.47 tff(7142,plain,
% 217.85/140.47 ((~(v84(constB65, 1) <=> v84(constB64, 1))) | (~v84(constB64, 1))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7025, 7141])).
% 217.85/140.47 tff(7143,plain,
% 217.85/140.47 (~v84(constB64, 1)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7142, 6302])).
% 217.85/140.47 tff(7144,plain,
% 217.85/140.47 ((~(v84(constB64, 1) <=> v84(constB63, 1))) | (~v84(constB63, 1))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7022, 7143])).
% 217.85/140.47 tff(7145,plain,
% 217.85/140.47 (~v84(constB63, 1)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7144, 7139])).
% 217.85/140.47 tff(7146,plain,
% 217.85/140.47 (v84(constB64, 2) <=> v84(constB63, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7109, 7130])).
% 217.85/140.47 tff(7147,plain,
% 217.85/140.47 ((v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))) | v84(constB65, 2)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7148,plain,
% 217.85/140.47 (v84(constB65, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7147, 7132])).
% 217.85/140.47 tff(7149,plain,
% 217.85/140.47 ((~(v84(constB65, 2) <=> v84(constB64, 2))) | (~v84(constB65, 2)) | v84(constB64, 2)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7150,plain,
% 217.85/140.47 ((~(v84(constB65, 2) <=> v84(constB64, 2))) | v84(constB64, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7149, 7148])).
% 217.85/140.47 tff(7151,plain,
% 217.85/140.47 (v84(constB64, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7150, 7101])).
% 217.85/140.47 tff(7152,plain,
% 217.85/140.47 ((~(v84(constB64, 2) <=> v84(constB63, 2))) | (~v84(constB64, 2)) | v84(constB63, 2)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7153,plain,
% 217.85/140.47 ((~(v84(constB64, 2) <=> v84(constB63, 2))) | v84(constB63, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7152, 7151])).
% 217.85/140.47 tff(7154,plain,
% 217.85/140.47 (v84(constB63, 2)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7153, 7146])).
% 217.85/140.47 tff(7155,plain,
% 217.85/140.47 ((~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))) | v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7156,plain,
% 217.85/140.47 ($false),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7155, 7154, 7145, 7138, 7129])).
% 217.85/140.47 tff(7157,plain,((v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))) | (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B))))), inference(lemma,lemma(discharge,[]))).
% 217.85/140.47 tff(7158,plain,
% 217.85/140.47 (v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7157, 7012, 6902])).
% 217.85/140.47 tff(7159,plain,
% 217.85/140.47 ((~(v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))))) | (~v117(constB65)) | (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7160,plain,
% 217.85/140.47 ((~(v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))))) | (~v117(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7159, 7158])).
% 217.85/140.47 tff(7161,plain,
% 217.85/140.47 (~v117(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7160, 7128])).
% 217.85/140.47 tff(7162,plain,
% 217.85/140.47 ((~(v110(constB65) | v117(constB65))) | v110(constB65) | v117(constB65)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7163,plain,
% 217.85/140.47 ((~(v110(constB65) | v117(constB65))) | v110(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7162, 7161])).
% 217.85/140.47 tff(7164,plain,
% 217.85/140.47 (~(v110(constB65) | v117(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7163, 7126])).
% 217.85/140.47 tff(7165,plain,
% 217.85/140.47 ((~(v109(constB65) <=> (v110(constB65) | v117(constB65)))) | (~v109(constB65)) | (v110(constB65) | v117(constB65))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7166,plain,
% 217.85/140.47 (~v109(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7165, 7164, 6251])).
% 217.85/140.47 tff(7167,plain,
% 217.85/140.47 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))))))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7168,plain,
% 217.85/140.47 ((v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 0)) | (~v84(constB65, 2))))) <=> (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7169,plain,
% 217.85/140.47 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 0)) | (~v84(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))))))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[7168])).
% 217.85/140.47 tff(7170,plain,
% 217.85/140.47 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 0)) | (~v84(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))))))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7169, 7167])).
% 217.85/140.47 tff(7171,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 0)) | (~v84(constB65, 2)))))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7172,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))),
% 217.85/140.47 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 217.85/140.47 tff(7173,plain,
% 217.85/140.47 (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7172, 394])).
% 217.85/140.47 tff(7174,plain,
% 217.85/140.47 ((v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))) | (~v84(constB65, 1))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7175,plain,
% 217.85/140.47 (v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7174, 7027])).
% 217.85/140.47 tff(7176,plain,
% 217.85/140.47 ((~(v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))) | (~v118(constB65)) | (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7177,plain,
% 217.85/140.47 ((~(v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))) | (~v118(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7176, 7175])).
% 217.85/140.47 tff(7178,plain,
% 217.85/140.47 (~v118(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7177, 7173])).
% 217.85/140.47 tff(7179,plain,
% 217.85/140.47 ((~(v109(constB65) | v118(constB65))) | v109(constB65) | v118(constB65)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7180,plain,
% 217.85/140.47 ((~(v109(constB65) | v118(constB65))) | v109(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7179, 7178])).
% 217.85/140.47 tff(7181,plain,
% 217.85/140.47 (~(v109(constB65) | v118(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7180, 7166])).
% 217.85/140.47 tff(7182,plain,
% 217.85/140.47 ((~(v108(constB65) <=> (v109(constB65) | v118(constB65)))) | (~v108(constB65)) | (v109(constB65) | v118(constB65))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7183,plain,
% 217.85/140.47 (~v108(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7182, 7181, 6249])).
% 217.85/140.47 tff(7184,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7185,plain,
% 217.85/140.47 (v119(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2))))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7184, 318])).
% 217.85/140.47 tff(7186,plain,
% 217.85/140.47 ((v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2))) | (~v84(constB65, 0))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7187,plain,
% 217.85/140.47 (v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7186, 7058])).
% 217.85/140.47 tff(7188,plain,
% 217.85/140.47 ((~(v119(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))))) | (~v119(constB65)) | (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2))))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7189,plain,
% 217.85/140.47 ((~(v119(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))))) | (~v119(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7188, 7187])).
% 217.85/140.47 tff(7190,plain,
% 217.85/140.47 (~v119(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7189, 7185])).
% 217.85/140.47 tff(7191,plain,
% 217.85/140.47 ((~(v108(constB65) | v119(constB65))) | v108(constB65) | v119(constB65)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7192,plain,
% 217.85/140.47 ((~(v108(constB65) | v119(constB65))) | v108(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7191, 7190])).
% 217.85/140.47 tff(7193,plain,
% 217.85/140.47 (~(v108(constB65) | v119(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7192, 7183])).
% 217.85/140.47 tff(7194,plain,
% 217.85/140.47 ((~(v107(constB65) <=> (v108(constB65) | v119(constB65)))) | (~v107(constB65)) | (v108(constB65) | v119(constB65))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7195,plain,
% 217.85/140.47 (~v107(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7194, 7193, 6247])).
% 217.85/140.47 tff(7196,plain,
% 217.85/140.47 (((~v107(constB65)) | (~v120(constB65))) | v107(constB65)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7197,plain,
% 217.85/140.47 ((~v107(constB65)) | (~v120(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7196, 7195])).
% 217.85/140.47 tff(7198,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB65) <=> (~((~v107(constB65)) | (~v120(constB65)))))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7199,plain,
% 217.85/140.47 (v106(constB65) <=> (~((~v107(constB65)) | (~v120(constB65))))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7198, 132])).
% 217.85/140.47 tff(7200,plain,
% 217.85/140.47 ((~(v106(constB65) <=> (~((~v107(constB65)) | (~v120(constB65)))))) | (~v106(constB65)) | (~((~v107(constB65)) | (~v120(constB65))))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7201,plain,
% 217.85/140.47 ((~v106(constB65)) | (~((~v107(constB65)) | (~v120(constB65))))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7200, 7199])).
% 217.85/140.47 tff(7202,plain,
% 217.85/140.47 (~v106(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7201, 7197])).
% 217.85/140.47 tff(7203,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB65) <=> v26(constB65))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7204,plain,
% 217.85/140.47 (v105(constB65) <=> v26(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7203, 156])).
% 217.85/140.47 tff(7205,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7206,plain,
% 217.85/140.47 (~v26(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7205, 168])).
% 217.85/140.47 tff(7207,plain,
% 217.85/140.47 ((~(v105(constB65) <=> v26(constB65))) | (~v105(constB65)) | v26(constB65)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7208,plain,
% 217.85/140.47 ((~(v105(constB65) <=> v26(constB65))) | (~v105(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7207, 7206])).
% 217.85/140.47 tff(7209,plain,
% 217.85/140.47 (~v105(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7208, 7204])).
% 217.85/140.47 tff(7210,plain,
% 217.85/140.47 ((~(v105(constB65) | v106(constB65))) | v105(constB65) | v106(constB65)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7211,plain,
% 217.85/140.47 ((~(v105(constB65) | v106(constB65))) | v106(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7210, 7209])).
% 217.85/140.47 tff(7212,plain,
% 217.85/140.47 (~(v105(constB65) | v106(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7211, 7202])).
% 217.85/140.47 tff(7213,plain,
% 217.85/140.47 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB65) <=> (v105(constB65) | v106(constB65)))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7214,plain,
% 217.85/140.47 (v102(constB65) <=> (v105(constB65) | v106(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7213, 115])).
% 217.85/140.47 tff(7215,plain,
% 217.85/140.47 ((~(v102(constB65) <=> (v105(constB65) | v106(constB65)))) | (~v102(constB65)) | (v105(constB65) | v106(constB65))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7216,plain,
% 217.85/140.47 ((~v102(constB65)) | (v105(constB65) | v106(constB65))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7215, 7214])).
% 217.85/140.47 tff(7217,plain,
% 217.85/140.47 (~v102(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7216, 7212])).
% 217.85/140.47 tff(7218,plain,
% 217.85/140.47 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7219,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65')).
% 217.85/140.47 tff(7220,plain,
% 217.85/140.47 (nextState(constB65, constB66)),
% 217.85/140.47 inference(modus_ponens,[status(thm)],[7219, 7218])).
% 217.85/140.47 tff(7221,plain,
% 217.85/140.47 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65)))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7222,plain,
% 217.85/140.47 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65)))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7223,plain,
% 217.85/140.47 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65))),
% 217.85/140.47 inference(modus_ponens,[status(thm)],[7222, 7221])).
% 217.85/140.47 tff(7224,plain,
% 217.85/140.47 (v104(constB66) <=> v102(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7223, 7220, 101])).
% 217.85/140.47 tff(7225,plain,
% 217.85/140.47 ((~(v104(constB66) <=> v102(constB65))) | (~v104(constB66)) | v102(constB65)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7226,plain,
% 217.85/140.47 ((~v104(constB66)) | v102(constB65)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7225, 7224])).
% 217.85/140.47 tff(7227,plain,
% 217.85/140.47 (~v104(constB66)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7226, 7217])).
% 217.85/140.47 tff(7228,plain,
% 217.85/140.47 (((~v95(constB66)) | (~v104(constB66))) | v104(constB66)),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7229,plain,
% 217.85/140.47 ((~v95(constB66)) | (~v104(constB66))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7228, 7227])).
% 217.85/140.47 tff(7230,plain,
% 217.85/140.47 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66))))))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7231,plain,
% 217.85/140.47 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66))))))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7232,plain,
% 217.85/140.47 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66)))))),
% 217.85/140.47 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 217.85/140.47 tff(7233,plain,
% 217.85/140.47 (v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66))))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7232, 7220, 14])).
% 217.85/140.47 tff(7234,plain,
% 217.85/140.47 ((~(v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66)))))) | (~v94(constB66)) | (~((~v95(constB66)) | (~v104(constB66))))),
% 217.85/140.47 inference(tautology,[status(thm)],[])).
% 217.85/140.47 tff(7235,plain,
% 217.85/140.47 ((~v94(constB66)) | (~((~v95(constB66)) | (~v104(constB66))))),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7234, 7233])).
% 217.85/140.47 tff(7236,plain,
% 217.85/140.47 (~v94(constB66)),
% 217.85/140.47 inference(unit_resolution,[status(thm)],[7235, 7229])).
% 217.85/140.47 tff(7237,plain,
% 217.85/140.47 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB66) | (~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB66) | (~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B))))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7238,plain,
% 217.85/140.47 ((v94(constB66) | (~nextState(constB65, constB66)) | ![B: $int] : ((v84(constB66, B) <=> v84(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB66) | (~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B))))),
% 217.85/140.47 inference(rewrite,[status(thm)],[])).
% 217.85/140.47 tff(7239,plain,
% 217.85/140.47 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB66) | (~nextState(constB65, constB66)) | ![B: $int] : ((v84(constB66, B) <=> v84(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB66) | (~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))))),
% 217.85/140.47 inference(monotonicity,[status(thm)],[7238])).
% 217.85/140.47 tff(7240,plain,
% 217.85/140.47 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB66) | (~nextState(constB65, constB66)) | ![B: $int] : ((v84(constB66, B) <=> v84(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB66) | (~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B))))),
% 217.85/140.47 inference(transitivity,[status(thm)],[7239, 7237])).
% 217.85/140.47 tff(7241,plain,
% 217.85/140.47 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB66) | (~nextState(constB65, constB66)) | ![B: $int] : ((v84(constB66, B) <=> v84(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.85/140.47 inference(quant_inst,[status(thm)],[])).
% 217.85/140.47 tff(7242,plain,
% 217.85/140.47 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB66) | (~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))),
% 217.85/140.48 inference(modus_ponens,[status(thm)],[7241, 7240])).
% 217.85/140.48 tff(7243,plain,
% 217.85/140.48 (v94(constB66) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7242, 7220, 235])).
% 217.85/140.48 tff(7244,plain,
% 217.85/140.48 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7243, 7236])).
% 217.85/140.48 tff(7245,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 1) <=> v84(constB65, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 1) <=> v84(constB65, 1)))),
% 217.85/140.48 inference(rewrite,[status(thm)],[])).
% 217.85/140.48 tff(7246,plain,
% 217.85/140.48 (($false | $false | (v84(constB66, 1) <=> v84(constB65, 1))) <=> (v84(constB66, 1) <=> v84(constB65, 1))),
% 217.85/140.48 inference(rewrite,[status(thm)],[])).
% 217.85/140.48 tff(7247,plain,
% 217.85/140.48 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB66, 1) <=> v84(constB65, 1))) <=> ($false | $false | (v84(constB66, 1) <=> v84(constB65, 1)))),
% 217.85/140.48 inference(monotonicity,[status(thm)],[402, 401])).
% 217.85/140.48 tff(7248,plain,
% 217.85/140.48 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB66, 1) <=> v84(constB65, 1))) <=> (v84(constB66, 1) <=> v84(constB65, 1))),
% 217.85/140.48 inference(transitivity,[status(thm)],[7247, 7246])).
% 217.85/140.48 tff(7249,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB66, 1) <=> v84(constB65, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 1) <=> v84(constB65, 1)))),
% 217.85/140.48 inference(monotonicity,[status(thm)],[7248])).
% 217.85/140.48 tff(7250,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB66, 1) <=> v84(constB65, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 1) <=> v84(constB65, 1)))),
% 217.85/140.48 inference(transitivity,[status(thm)],[7249, 7245])).
% 217.85/140.48 tff(7251,plain,
% 217.85/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB66, 1) <=> v84(constB65, 1)))),
% 217.85/140.48 inference(quant_inst,[status(thm)],[])).
% 217.85/140.48 tff(7252,plain,
% 217.85/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 1) <=> v84(constB65, 1))),
% 217.85/140.48 inference(modus_ponens,[status(thm)],[7251, 7250])).
% 217.85/140.48 tff(7253,plain,
% 217.85/140.48 (v84(constB66, 1) <=> v84(constB65, 1)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7252, 7244])).
% 217.85/140.48 tff(7254,plain,
% 217.85/140.48 ((~(v84(constB66, 1) <=> v84(constB65, 1))) | v84(constB66, 1) | (~v84(constB65, 1))),
% 217.85/140.48 inference(tautology,[status(thm)],[])).
% 217.85/140.48 tff(7255,plain,
% 217.85/140.48 ((~(v84(constB66, 1) <=> v84(constB65, 1))) | v84(constB66, 1)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7254, 7027])).
% 217.85/140.48 tff(7256,plain,
% 217.85/140.48 (v84(constB66, 1)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7255, 7253])).
% 217.85/140.48 tff(7257,plain,
% 217.85/140.48 ((~(v84(constB67, 1) <=> v84(constB66, 1))) | v84(constB67, 1) | (~v84(constB66, 1))),
% 217.85/140.48 inference(tautology,[status(thm)],[])).
% 217.85/140.48 tff(7258,plain,
% 217.85/140.48 ((~(v84(constB67, 1) <=> v84(constB66, 1))) | v84(constB67, 1)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7257, 7256])).
% 217.85/140.48 tff(7259,plain,
% 217.85/140.48 (v84(constB67, 1)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7258, 6245])).
% 217.85/140.48 tff(7260,plain,
% 217.85/140.48 ((v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))) | (~v84(constB67, 1))),
% 217.85/140.48 inference(tautology,[status(thm)],[])).
% 217.85/140.48 tff(7261,plain,
% 217.85/140.48 (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7260, 7259])).
% 217.85/140.48 tff(7262,plain,
% 217.85/140.48 ((~(v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))))) | (~v114(constB67)) | (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))))),
% 217.85/140.48 inference(tautology,[status(thm)],[])).
% 217.85/140.48 tff(7263,plain,
% 217.85/140.48 ((~(v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))))) | (~v114(constB67))),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7262, 7261])).
% 217.85/140.48 tff(7264,plain,
% 217.85/140.48 (~v114(constB67)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7263, 5415])).
% 217.85/140.48 tff(7265,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 0) <=> v84(constB66, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 0) <=> v84(constB66, 0)))),
% 217.85/140.48 inference(rewrite,[status(thm)],[])).
% 217.85/140.48 tff(7266,plain,
% 217.85/140.48 (($false | $false | (v84(constB67, 0) <=> v84(constB66, 0))) <=> (v84(constB67, 0) <=> v84(constB66, 0))),
% 217.85/140.48 inference(rewrite,[status(thm)],[])).
% 217.85/140.48 tff(7267,plain,
% 217.85/140.48 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB67, 0) <=> v84(constB66, 0))) <=> ($false | $false | (v84(constB67, 0) <=> v84(constB66, 0)))),
% 217.85/140.48 inference(monotonicity,[status(thm)],[250, 249])).
% 217.85/140.48 tff(7268,plain,
% 217.85/140.48 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB67, 0) <=> v84(constB66, 0))) <=> (v84(constB67, 0) <=> v84(constB66, 0))),
% 217.85/140.48 inference(transitivity,[status(thm)],[7267, 7266])).
% 217.85/140.48 tff(7269,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB67, 0) <=> v84(constB66, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 0) <=> v84(constB66, 0)))),
% 217.85/140.48 inference(monotonicity,[status(thm)],[7268])).
% 217.85/140.48 tff(7270,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB67, 0) <=> v84(constB66, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 0) <=> v84(constB66, 0)))),
% 217.85/140.48 inference(transitivity,[status(thm)],[7269, 7265])).
% 217.85/140.48 tff(7271,plain,
% 217.85/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB67, 0) <=> v84(constB66, 0)))),
% 217.85/140.48 inference(quant_inst,[status(thm)],[])).
% 217.85/140.48 tff(7272,plain,
% 217.85/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 0) <=> v84(constB66, 0))),
% 217.85/140.48 inference(modus_ponens,[status(thm)],[7271, 7270])).
% 217.85/140.48 tff(7273,plain,
% 217.85/140.48 (v84(constB67, 0) <=> v84(constB66, 0)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7272, 6236])).
% 217.85/140.48 tff(7274,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 0) <=> v84(constB65, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 0) <=> v84(constB65, 0)))),
% 217.85/140.48 inference(rewrite,[status(thm)],[])).
% 217.85/140.48 tff(7275,plain,
% 217.85/140.48 (($false | $false | (v84(constB66, 0) <=> v84(constB65, 0))) <=> (v84(constB66, 0) <=> v84(constB65, 0))),
% 217.85/140.48 inference(rewrite,[status(thm)],[])).
% 217.85/140.48 tff(7276,plain,
% 217.85/140.48 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB66, 0) <=> v84(constB65, 0))) <=> ($false | $false | (v84(constB66, 0) <=> v84(constB65, 0)))),
% 217.85/140.48 inference(monotonicity,[status(thm)],[250, 249])).
% 217.85/140.48 tff(7277,plain,
% 217.85/140.48 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB66, 0) <=> v84(constB65, 0))) <=> (v84(constB66, 0) <=> v84(constB65, 0))),
% 217.85/140.48 inference(transitivity,[status(thm)],[7276, 7275])).
% 217.85/140.48 tff(7278,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB66, 0) <=> v84(constB65, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 0) <=> v84(constB65, 0)))),
% 217.85/140.48 inference(monotonicity,[status(thm)],[7277])).
% 217.85/140.48 tff(7279,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB66, 0) <=> v84(constB65, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 0) <=> v84(constB65, 0)))),
% 217.85/140.48 inference(transitivity,[status(thm)],[7278, 7274])).
% 217.85/140.48 tff(7280,plain,
% 217.85/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB66, 0) <=> v84(constB65, 0)))),
% 217.85/140.48 inference(quant_inst,[status(thm)],[])).
% 217.85/140.48 tff(7281,plain,
% 217.85/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 0) <=> v84(constB65, 0))),
% 217.85/140.48 inference(modus_ponens,[status(thm)],[7280, 7279])).
% 217.85/140.48 tff(7282,plain,
% 217.85/140.48 (v84(constB66, 0) <=> v84(constB65, 0)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7281, 7244])).
% 217.85/140.48 tff(7283,plain,
% 217.85/140.48 ((~(v84(constB66, 0) <=> v84(constB65, 0))) | v84(constB66, 0) | (~v84(constB65, 0))),
% 217.85/140.48 inference(tautology,[status(thm)],[])).
% 217.85/140.48 tff(7284,plain,
% 217.85/140.48 ((~(v84(constB66, 0) <=> v84(constB65, 0))) | v84(constB66, 0)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7283, 7058])).
% 217.85/140.48 tff(7285,plain,
% 217.85/140.48 (v84(constB66, 0)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7284, 7282])).
% 217.85/140.48 tff(7286,plain,
% 217.85/140.48 ((~(v84(constB67, 0) <=> v84(constB66, 0))) | v84(constB67, 0) | (~v84(constB66, 0))),
% 217.85/140.48 inference(tautology,[status(thm)],[])).
% 217.85/140.48 tff(7287,plain,
% 217.85/140.48 ((~(v84(constB67, 0) <=> v84(constB66, 0))) | v84(constB67, 0)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7286, 7285])).
% 217.85/140.48 tff(7288,plain,
% 217.85/140.48 (v84(constB67, 0)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7287, 7273])).
% 217.85/140.48 tff(7289,plain,
% 217.85/140.48 ((v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)) | (~v84(constB67, 0))),
% 217.85/140.48 inference(tautology,[status(thm)],[])).
% 217.85/140.48 tff(7290,plain,
% 217.85/140.48 (v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7289, 7288])).
% 217.85/140.48 tff(7291,plain,
% 217.85/140.48 ((~(v113(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))))) | (~v113(constB67)) | (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)))),
% 217.85/140.48 inference(tautology,[status(thm)],[])).
% 217.85/140.48 tff(7292,plain,
% 217.85/140.48 ((~(v113(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))))) | (~v113(constB67))),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7291, 7290])).
% 217.85/140.48 tff(7293,plain,
% 217.85/140.48 (~v113(constB67)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7292, 5380])).
% 217.85/140.48 tff(7294,plain,
% 217.85/140.48 ((~(v113(constB67) | v114(constB67))) | v113(constB67) | v114(constB67)),
% 217.85/140.48 inference(tautology,[status(thm)],[])).
% 217.85/140.48 tff(7295,plain,
% 217.85/140.48 (~(v113(constB67) | v114(constB67))),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7294, 7293, 7264])).
% 217.85/140.48 tff(7296,plain,
% 217.85/140.48 ((~(v112(constB67) <=> (v113(constB67) | v114(constB67)))) | (~v112(constB67)) | (v113(constB67) | v114(constB67))),
% 217.85/140.48 inference(tautology,[status(thm)],[])).
% 217.85/140.48 tff(7297,plain,
% 217.85/140.48 ((~(v112(constB67) <=> (v113(constB67) | v114(constB67)))) | (~v112(constB67))),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7296, 7295])).
% 217.85/140.48 tff(7298,plain,
% 217.85/140.48 (~v112(constB67)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7297, 5382])).
% 217.85/140.48 tff(7299,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 2) <=> v84(constB66, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 2) <=> v84(constB66, 2)))),
% 217.85/140.48 inference(rewrite,[status(thm)],[])).
% 217.85/140.48 tff(7300,plain,
% 217.85/140.48 (($false | $false | (v84(constB67, 2) <=> v84(constB66, 2))) <=> (v84(constB67, 2) <=> v84(constB66, 2))),
% 217.85/140.48 inference(rewrite,[status(thm)],[])).
% 217.85/140.48 tff(7301,plain,
% 217.85/140.48 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB67, 2) <=> v84(constB66, 2))) <=> ($false | $false | (v84(constB67, 2) <=> v84(constB66, 2)))),
% 217.85/140.48 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.48 tff(7302,plain,
% 217.85/140.48 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB67, 2) <=> v84(constB66, 2))) <=> (v84(constB67, 2) <=> v84(constB66, 2))),
% 217.85/140.48 inference(transitivity,[status(thm)],[7301, 7300])).
% 217.85/140.48 tff(7303,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB67, 2) <=> v84(constB66, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 2) <=> v84(constB66, 2)))),
% 217.85/140.48 inference(monotonicity,[status(thm)],[7302])).
% 217.85/140.48 tff(7304,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB67, 2) <=> v84(constB66, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 2) <=> v84(constB66, 2)))),
% 217.85/140.48 inference(transitivity,[status(thm)],[7303, 7299])).
% 217.85/140.48 tff(7305,plain,
% 217.85/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB67, 2) <=> v84(constB66, 2)))),
% 217.85/140.48 inference(quant_inst,[status(thm)],[])).
% 217.85/140.48 tff(7306,plain,
% 217.85/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB67, B) <=> v84(constB66, B)))) | (v84(constB67, 2) <=> v84(constB66, 2))),
% 217.85/140.48 inference(modus_ponens,[status(thm)],[7305, 7304])).
% 217.85/140.48 tff(7307,plain,
% 217.85/140.48 (v84(constB67, 2) <=> v84(constB66, 2)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7306, 6236])).
% 217.85/140.48 tff(7308,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 2) <=> v84(constB65, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 2) <=> v84(constB65, 2)))),
% 217.85/140.48 inference(rewrite,[status(thm)],[])).
% 217.85/140.48 tff(7309,plain,
% 217.85/140.48 (($false | $false | (v84(constB66, 2) <=> v84(constB65, 2))) <=> (v84(constB66, 2) <=> v84(constB65, 2))),
% 217.85/140.48 inference(rewrite,[status(thm)],[])).
% 217.85/140.48 tff(7310,plain,
% 217.85/140.48 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB66, 2) <=> v84(constB65, 2))) <=> ($false | $false | (v84(constB66, 2) <=> v84(constB65, 2)))),
% 217.85/140.48 inference(monotonicity,[status(thm)],[534, 533])).
% 217.85/140.48 tff(7311,plain,
% 217.85/140.48 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB66, 2) <=> v84(constB65, 2))) <=> (v84(constB66, 2) <=> v84(constB65, 2))),
% 217.85/140.48 inference(transitivity,[status(thm)],[7310, 7309])).
% 217.85/140.48 tff(7312,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB66, 2) <=> v84(constB65, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 2) <=> v84(constB65, 2)))),
% 217.85/140.48 inference(monotonicity,[status(thm)],[7311])).
% 217.85/140.48 tff(7313,plain,
% 217.85/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB66, 2) <=> v84(constB65, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 2) <=> v84(constB65, 2)))),
% 217.85/140.48 inference(transitivity,[status(thm)],[7312, 7308])).
% 217.85/140.48 tff(7314,plain,
% 217.85/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB66, 2) <=> v84(constB65, 2)))),
% 217.85/140.48 inference(quant_inst,[status(thm)],[])).
% 217.85/140.48 tff(7315,plain,
% 217.85/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))) | (v84(constB66, 2) <=> v84(constB65, 2))),
% 217.85/140.48 inference(modus_ponens,[status(thm)],[7314, 7313])).
% 217.85/140.48 tff(7316,plain,
% 217.85/140.48 (v84(constB66, 2) <=> v84(constB65, 2)),
% 217.85/140.48 inference(unit_resolution,[status(thm)],[7315, 7244])).
% 217.85/140.48 tff(7317,plain,
% 217.85/140.48 ((~(v84(constB66, 2) <=> v84(constB65, 2))) | v84(constB66, 2) | (~v84(constB65, 2))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7318,plain,
% 217.94/140.48 ((~(v84(constB66, 2) <=> v84(constB65, 2))) | v84(constB66, 2)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7317, 7116])).
% 217.94/140.48 tff(7319,plain,
% 217.94/140.48 (v84(constB66, 2)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7318, 7316])).
% 217.94/140.48 tff(7320,plain,
% 217.94/140.48 ((~(v84(constB67, 2) <=> v84(constB66, 2))) | v84(constB67, 2) | (~v84(constB66, 2))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7321,plain,
% 217.94/140.48 ((~(v84(constB67, 2) <=> v84(constB66, 2))) | v84(constB67, 2)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7320, 7319])).
% 217.94/140.48 tff(7322,plain,
% 217.94/140.48 (v84(constB67, 2)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7321, 7307])).
% 217.94/140.48 tff(7323,plain,
% 217.94/140.48 ((v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))) | (~v84(constB67, 2))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7324,plain,
% 217.94/140.48 (v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7323, 7322])).
% 217.94/140.48 tff(7325,plain,
% 217.94/140.48 ((~(v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))))) | (~v115(constB67)) | (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7326,plain,
% 217.94/140.48 ((~(v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))))) | (~v115(constB67))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7325, 7324])).
% 217.94/140.48 tff(7327,plain,
% 217.94/140.48 (~v115(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7326, 5457])).
% 217.94/140.48 tff(7328,plain,
% 217.94/140.48 ((~(v112(constB67) | v115(constB67))) | v112(constB67) | v115(constB67)),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7329,plain,
% 217.94/140.48 ((~(v112(constB67) | v115(constB67))) | v112(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7328, 7327])).
% 217.94/140.48 tff(7330,plain,
% 217.94/140.48 (~(v112(constB67) | v115(constB67))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7329, 7298])).
% 217.94/140.48 tff(7331,plain,
% 217.94/140.48 ((~(v111(constB67) <=> (v112(constB67) | v115(constB67)))) | (~v111(constB67)) | (v112(constB67) | v115(constB67))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7332,plain,
% 217.94/140.48 (~v111(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7331, 7330, 5384])).
% 217.94/140.48 tff(7333,plain,
% 217.94/140.48 ((v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))) | (~v84(constB67, 2))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7334,plain,
% 217.94/140.48 (v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7333, 7322])).
% 217.94/140.48 tff(7335,plain,
% 217.94/140.48 ((~(v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))))) | (~v116(constB67)) | (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7336,plain,
% 217.94/140.48 ((~(v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))))) | (~v116(constB67))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7335, 7334])).
% 217.94/140.48 tff(7337,plain,
% 217.94/140.48 (~v116(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7336, 5445])).
% 217.94/140.48 tff(7338,plain,
% 217.94/140.48 ((~(v111(constB67) | v116(constB67))) | v111(constB67) | v116(constB67)),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7339,plain,
% 217.94/140.48 ((~(v111(constB67) | v116(constB67))) | v111(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7338, 7337])).
% 217.94/140.48 tff(7340,plain,
% 217.94/140.48 (~(v111(constB67) | v116(constB67))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7339, 7332])).
% 217.94/140.48 tff(7341,assumption,(v108(constB67) | v119(constB67)), introduced(assumption)).
% 217.94/140.48 tff(7342,plain,
% 217.94/140.48 ((v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2))) | (~v84(constB67, 0))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7343,plain,
% 217.94/140.48 (v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7342, 7288])).
% 217.94/140.48 tff(7344,plain,
% 217.94/140.48 ((~(v119(constB67) <=> (~(v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))))) | (~v119(constB67)) | (~(v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2))))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7345,plain,
% 217.94/140.48 ((~(v119(constB67) <=> (~(v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))))) | (~v119(constB67))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7344, 7343])).
% 217.94/140.48 tff(7346,plain,
% 217.94/140.48 (~v119(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7345, 5306])).
% 217.94/140.48 tff(7347,plain,
% 217.94/140.48 ((~(v108(constB67) | v119(constB67))) | v108(constB67) | v119(constB67)),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7348,plain,
% 217.94/140.48 (v108(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7347, 7346, 7341])).
% 217.94/140.48 tff(7349,plain,
% 217.94/140.48 ((~(v108(constB67) <=> (v109(constB67) | v118(constB67)))) | (~v108(constB67)) | (v109(constB67) | v118(constB67))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7350,plain,
% 217.94/140.48 ((~(v108(constB67) <=> (v109(constB67) | v118(constB67)))) | (v109(constB67) | v118(constB67))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7349, 7348])).
% 217.94/140.48 tff(7351,plain,
% 217.94/140.48 (v109(constB67) | v118(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7350, 5354])).
% 217.94/140.48 tff(7352,plain,
% 217.94/140.48 ((v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))) | (~v84(constB67, 1))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7353,plain,
% 217.94/140.48 (v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7352, 7259])).
% 217.94/140.48 tff(7354,plain,
% 217.94/140.48 ((~(v118(constB67) <=> (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))))) | (~v118(constB67)) | (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7355,plain,
% 217.94/140.48 ((~(v118(constB67) <=> (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))))) | (~v118(constB67))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7354, 7353])).
% 217.94/140.48 tff(7356,plain,
% 217.94/140.48 (~v118(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7355, 5408])).
% 217.94/140.48 tff(7357,plain,
% 217.94/140.48 ((~(v109(constB67) | v118(constB67))) | v109(constB67) | v118(constB67)),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7358,plain,
% 217.94/140.48 ((~(v109(constB67) | v118(constB67))) | v109(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7357, 7356])).
% 217.94/140.48 tff(7359,plain,
% 217.94/140.48 (v109(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7358, 7351])).
% 217.94/140.48 tff(7360,plain,
% 217.94/140.48 ((~(v109(constB67) <=> (v110(constB67) | v117(constB67)))) | (~v109(constB67)) | (v110(constB67) | v117(constB67))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7361,plain,
% 217.94/140.48 (v110(constB67) | v117(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7360, 7359, 5352])).
% 217.94/140.48 tff(7362,plain,
% 217.94/140.48 ((v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))) | (~v84(constB67, 0))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7363,plain,
% 217.94/140.48 (v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7362, 7288])).
% 217.94/140.48 tff(7364,plain,
% 217.94/140.48 ((~(v117(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))))) | (~v117(constB67)) | (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7365,plain,
% 217.94/140.48 ((~v117(constB67)) | (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7364, 5375])).
% 217.94/140.48 tff(7366,plain,
% 217.94/140.48 (~v117(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7365, 7363])).
% 217.94/140.48 tff(7367,plain,
% 217.94/140.48 ((~(v110(constB67) | v117(constB67))) | v110(constB67) | v117(constB67)),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7368,plain,
% 217.94/140.48 ((~(v110(constB67) | v117(constB67))) | v110(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7367, 7366])).
% 217.94/140.48 tff(7369,plain,
% 217.94/140.48 (v110(constB67)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7368, 7361])).
% 217.94/140.48 tff(7370,plain,
% 217.94/140.48 ((~(v110(constB67) <=> (v111(constB67) | v116(constB67)))) | (~v110(constB67)) | (v111(constB67) | v116(constB67))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7371,plain,
% 217.94/140.48 ($false),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7370, 7369, 7340, 5386])).
% 217.94/140.48 tff(7372,plain,((v105(constB59) | v106(constB59)) | (~(v108(constB67) | v119(constB67)))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.48 tff(7373,plain,
% 217.94/140.48 (v105(constB59) | v106(constB59)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7372, 6202])).
% 217.94/140.48 tff(7374,plain,
% 217.94/140.48 ((~(v102(constB59) <=> (v105(constB59) | v106(constB59)))) | v102(constB59) | (~(v105(constB59) | v106(constB59)))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7375,plain,
% 217.94/140.48 (v102(constB59) | (~(v105(constB59) | v106(constB59)))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7374, 6411])).
% 217.94/140.48 tff(7376,plain,
% 217.94/140.48 (v102(constB59)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7375, 7373])).
% 217.94/140.48 tff(7377,plain,
% 217.94/140.48 ((~(v104(constB60) <=> v102(constB59))) | v104(constB60) | (~v102(constB59))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7378,plain,
% 217.94/140.48 (v104(constB60) | (~v102(constB59))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7377, 6421])).
% 217.94/140.48 tff(7379,plain,
% 217.94/140.48 (v104(constB60)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7378, 7376])).
% 217.94/140.48 tff(7380,plain,
% 217.94/140.48 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7381,plain,
% 217.94/140.48 (((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60)))))) <=> ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7382,plain,
% 217.94/140.48 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60)))))))),
% 217.94/140.48 inference(monotonicity,[status(thm)],[7381])).
% 217.94/140.48 tff(7383,plain,
% 217.94/140.48 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))),
% 217.94/140.48 inference(transitivity,[status(thm)],[7382, 7380])).
% 217.94/140.48 tff(7384,plain,
% 217.94/140.48 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60))))))),
% 217.94/140.48 inference(quant_inst,[status(thm)],[])).
% 217.94/140.48 tff(7385,plain,
% 217.94/140.48 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60)))))),
% 217.94/140.48 inference(modus_ponens,[status(thm)],[7384, 7383])).
% 217.94/140.48 tff(7386,plain,
% 217.94/140.48 (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7385, 6417, 37])).
% 217.94/140.48 tff(7387,plain,
% 217.94/140.48 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60)))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7388,plain,
% 217.94/140.48 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60)))),
% 217.94/140.48 inference(quant_inst,[status(thm)],[])).
% 217.94/140.48 tff(7389,plain,
% 217.94/140.48 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60))),
% 217.94/140.48 inference(modus_ponens,[status(thm)],[7388, 7387])).
% 217.94/140.48 tff(7390,plain,
% 217.94/140.48 ((~v96(constB60)) <=> v98(constB60)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7389, 6417, 54])).
% 217.94/140.48 tff(7391,plain,
% 217.94/140.48 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59)))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7392,plain,
% 217.94/140.48 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59)))),
% 217.94/140.48 inference(quant_inst,[status(thm)],[])).
% 217.94/140.48 tff(7393,plain,
% 217.94/140.48 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59))),
% 217.94/140.48 inference(modus_ponens,[status(thm)],[7392, 7391])).
% 217.94/140.48 tff(7394,plain,
% 217.94/140.48 (v98(constB60) <=> v1(constB59)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7393, 6417, 68])).
% 217.94/140.48 tff(7395,plain,
% 217.94/140.48 ((~v1(constB59)) <=> (~v1(constB59))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7396,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59')).
% 217.94/140.48 tff(7397,plain,
% 217.94/140.48 (~v1(constB59)),
% 217.94/140.48 inference(modus_ponens,[status(thm)],[7396, 7395])).
% 217.94/140.48 tff(7398,plain,
% 217.94/140.48 ((~(v98(constB60) <=> v1(constB59))) | (~v98(constB60)) | v1(constB59)),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7399,plain,
% 217.94/140.48 ((~(v98(constB60) <=> v1(constB59))) | (~v98(constB60))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7398, 7397])).
% 217.94/140.48 tff(7400,plain,
% 217.94/140.48 (~v98(constB60)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7399, 7394])).
% 217.94/140.48 tff(7401,plain,
% 217.94/140.48 ((~((~v96(constB60)) <=> v98(constB60))) | v96(constB60) | v98(constB60)),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7402,plain,
% 217.94/140.48 (v96(constB60)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7401, 7400, 7390])).
% 217.94/140.48 tff(7403,plain,
% 217.94/140.48 (v1(constB60) <=> v1(constB60)),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7404,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60')).
% 217.94/140.48 tff(7405,plain,
% 217.94/140.48 (v1(constB60)),
% 217.94/140.48 inference(modus_ponens,[status(thm)],[7404, 7403])).
% 217.94/140.48 tff(7406,plain,
% 217.94/140.48 ((~((~v1(constB60)) | (~v96(constB60)))) | (~v1(constB60)) | (~v96(constB60))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7407,plain,
% 217.94/140.48 ((~((~v1(constB60)) | (~v96(constB60)))) | (~v96(constB60))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7406, 7405])).
% 217.94/140.48 tff(7408,plain,
% 217.94/140.48 (~((~v1(constB60)) | (~v96(constB60)))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7407, 7402])).
% 217.94/140.48 tff(7409,plain,
% 217.94/140.48 ((~(v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60)))))) | v95(constB60) | ((~v1(constB60)) | (~v96(constB60)))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7410,plain,
% 217.94/140.48 (v95(constB60)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7409, 7408, 7386])).
% 217.94/140.48 tff(7411,plain,
% 217.94/140.48 ((~((~v95(constB60)) | (~v104(constB60)))) | (~v95(constB60)) | (~v104(constB60))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7412,plain,
% 217.94/140.48 ((~((~v95(constB60)) | (~v104(constB60)))) | (~v104(constB60))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7411, 7410])).
% 217.94/140.48 tff(7413,plain,
% 217.94/140.48 (~((~v95(constB60)) | (~v104(constB60)))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7412, 7379])).
% 217.94/140.48 tff(7414,plain,
% 217.94/140.48 ((~(v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60)))))) | v94(constB60) | ((~v95(constB60)) | (~v104(constB60)))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.48 tff(7415,plain,
% 217.94/140.48 (v94(constB60) | ((~v95(constB60)) | (~v104(constB60)))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7414, 6430])).
% 217.94/140.48 tff(7416,plain,
% 217.94/140.48 (v94(constB60)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7415, 7413])).
% 217.94/140.48 tff(7417,plain,
% 217.94/140.48 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B))))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7418,plain,
% 217.94/140.48 (((~v94(constB60)) | ![B: $int] : ((v84(constB60, B) <=> v123(constB60, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B))))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7419,plain,
% 217.94/140.48 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB60)) | ![B: $int] : ((v84(constB60, B) <=> v123(constB60, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))))),
% 217.94/140.48 inference(monotonicity,[status(thm)],[7418])).
% 217.94/140.48 tff(7420,plain,
% 217.94/140.48 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB60)) | ![B: $int] : ((v84(constB60, B) <=> v123(constB60, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B))))),
% 217.94/140.48 inference(transitivity,[status(thm)],[7419, 7417])).
% 217.94/140.48 tff(7421,plain,
% 217.94/140.48 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB60)) | ![B: $int] : ((v84(constB60, B) <=> v123(constB60, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.48 inference(quant_inst,[status(thm)],[])).
% 217.94/140.48 tff(7422,plain,
% 217.94/140.48 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))),
% 217.94/140.48 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 217.94/140.48 tff(7423,plain,
% 217.94/140.48 ((~v94(constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7422, 1491])).
% 217.94/140.48 tff(7424,plain,
% 217.94/140.48 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7423, 7416])).
% 217.94/140.48 tff(7425,assumption,(~(v84(constB60, 1) <=> v123(constB60, 1))), introduced(assumption)).
% 217.94/140.48 tff(7426,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))), introduced(assumption)).
% 217.94/140.48 tff(7427,plain,
% 217.94/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 1) <=> v123(constB60, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 1) <=> v123(constB60, 1)))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7428,plain,
% 217.94/140.48 (($false | $false | (v84(constB60, 1) <=> v123(constB60, 1))) <=> (v84(constB60, 1) <=> v123(constB60, 1))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7429,plain,
% 217.94/140.48 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB60, 1) <=> v123(constB60, 1))) <=> ($false | $false | (v84(constB60, 1) <=> v123(constB60, 1)))),
% 217.94/140.48 inference(monotonicity,[status(thm)],[402, 401])).
% 217.94/140.48 tff(7430,plain,
% 217.94/140.48 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB60, 1) <=> v123(constB60, 1))) <=> (v84(constB60, 1) <=> v123(constB60, 1))),
% 217.94/140.48 inference(transitivity,[status(thm)],[7429, 7428])).
% 217.94/140.48 tff(7431,plain,
% 217.94/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB60, 1) <=> v123(constB60, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 1) <=> v123(constB60, 1)))),
% 217.94/140.48 inference(monotonicity,[status(thm)],[7430])).
% 217.94/140.48 tff(7432,plain,
% 217.94/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB60, 1) <=> v123(constB60, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 1) <=> v123(constB60, 1)))),
% 217.94/140.48 inference(transitivity,[status(thm)],[7431, 7427])).
% 217.94/140.48 tff(7433,plain,
% 217.94/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB60, 1) <=> v123(constB60, 1)))),
% 217.94/140.48 inference(quant_inst,[status(thm)],[])).
% 217.94/140.48 tff(7434,plain,
% 217.94/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 1) <=> v123(constB60, 1))),
% 217.94/140.48 inference(modus_ponens,[status(thm)],[7433, 7432])).
% 217.94/140.48 tff(7435,plain,
% 217.94/140.48 ($false),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7434, 7426, 7425])).
% 217.94/140.48 tff(7436,plain,((v84(constB60, 1) <=> v123(constB60, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B))))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.48 tff(7437,plain,
% 217.94/140.48 (v84(constB60, 1) <=> v123(constB60, 1)),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7436, 7424])).
% 217.94/140.48 tff(7438,assumption,(~(v121(constB59, 1) <=> v124(constB59, 1))), introduced(assumption)).
% 217.94/140.48 tff(7439,plain,
% 217.94/140.48 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B))))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7440,plain,
% 217.94/140.48 ((v105(constB59) | ![B: $int] : ((v121(constB59, B) <=> v124(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B))))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7441,plain,
% 217.94/140.48 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB59) | ![B: $int] : ((v121(constB59, B) <=> v124(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))))),
% 217.94/140.48 inference(monotonicity,[status(thm)],[7440])).
% 217.94/140.48 tff(7442,plain,
% 217.94/140.48 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB59) | ![B: $int] : ((v121(constB59, B) <=> v124(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B))))),
% 217.94/140.48 inference(transitivity,[status(thm)],[7441, 7439])).
% 217.94/140.48 tff(7443,plain,
% 217.94/140.48 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB59) | ![B: $int] : ((v121(constB59, B) <=> v124(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.48 inference(quant_inst,[status(thm)],[])).
% 217.94/140.48 tff(7444,plain,
% 217.94/140.48 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))),
% 217.94/140.48 inference(modus_ponens,[status(thm)],[7443, 7442])).
% 217.94/140.48 tff(7445,plain,
% 217.94/140.48 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7444, 1562, 6477])).
% 217.94/140.48 tff(7446,plain,
% 217.94/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 1) <=> v124(constB59, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 1) <=> v124(constB59, 1)))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7447,plain,
% 217.94/140.48 (($false | $false | (v121(constB59, 1) <=> v124(constB59, 1))) <=> (v121(constB59, 1) <=> v124(constB59, 1))),
% 217.94/140.48 inference(rewrite,[status(thm)],[])).
% 217.94/140.48 tff(7448,plain,
% 217.94/140.48 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB59, 1) <=> v124(constB59, 1))) <=> ($false | $false | (v121(constB59, 1) <=> v124(constB59, 1)))),
% 217.94/140.48 inference(monotonicity,[status(thm)],[402, 401])).
% 217.94/140.48 tff(7449,plain,
% 217.94/140.48 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB59, 1) <=> v124(constB59, 1))) <=> (v121(constB59, 1) <=> v124(constB59, 1))),
% 217.94/140.48 inference(transitivity,[status(thm)],[7448, 7447])).
% 217.94/140.48 tff(7450,plain,
% 217.94/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB59, 1) <=> v124(constB59, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 1) <=> v124(constB59, 1)))),
% 217.94/140.48 inference(monotonicity,[status(thm)],[7449])).
% 217.94/140.48 tff(7451,plain,
% 217.94/140.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB59, 1) <=> v124(constB59, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 1) <=> v124(constB59, 1)))),
% 217.94/140.48 inference(transitivity,[status(thm)],[7450, 7446])).
% 217.94/140.48 tff(7452,plain,
% 217.94/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB59, 1) <=> v124(constB59, 1)))),
% 217.94/140.48 inference(quant_inst,[status(thm)],[])).
% 217.94/140.48 tff(7453,plain,
% 217.94/140.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 1) <=> v124(constB59, 1))),
% 217.94/140.48 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 217.94/140.48 tff(7454,plain,
% 217.94/140.48 ($false),
% 217.94/140.48 inference(unit_resolution,[status(thm)],[7453, 7445, 7438])).
% 217.94/140.48 tff(7455,plain,(v121(constB59, 1) <=> v124(constB59, 1)), inference(lemma,lemma(discharge,[]))).
% 217.94/140.48 tff(7456,assumption,(v84(constB60, 1) <=> v123(constB60, 1)), introduced(assumption)).
% 217.94/140.48 tff(7457,assumption,(~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))), introduced(assumption)).
% 217.94/140.48 tff(7458,plain,
% 217.94/140.48 ((v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)) | (~v84(constB61, 1))),
% 217.94/140.48 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7459,plain,
% 217.94/140.49 (~v84(constB61, 1)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7458, 7457])).
% 217.94/140.49 tff(7460,assumption,(~(v84(constB61, 1) <=> v84(constB60, 1))), introduced(assumption)).
% 217.94/140.49 tff(7461,plain,
% 217.94/140.49 ($false),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6407, 6399, 7460])).
% 217.94/140.49 tff(7462,plain,(v84(constB61, 1) <=> v84(constB60, 1)), inference(lemma,lemma(discharge,[]))).
% 217.94/140.49 tff(7463,plain,
% 217.94/140.49 (v84(constB61, 1) | (~v84(constB60, 1))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6609, 7462])).
% 217.94/140.49 tff(7464,plain,
% 217.94/140.49 (~v84(constB60, 1)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7463, 7459])).
% 217.94/140.49 tff(7465,plain,
% 217.94/140.49 ((~(v84(constB60, 1) <=> v123(constB60, 1))) | v84(constB60, 1) | (~v123(constB60, 1))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7466,plain,
% 217.94/140.49 (~v123(constB60, 1)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7465, 7464, 7456])).
% 217.94/140.49 tff(7467,assumption,(~(v123(constB60, 1) <=> v121(constB59, 1))), introduced(assumption)).
% 217.94/140.49 tff(7468,plain,
% 217.94/140.49 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B))))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7469,plain,
% 217.94/140.49 (((~nextState(constB59, constB60)) | ![B: $int] : ((v123(constB60, B) <=> v121(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B))))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7470,plain,
% 217.94/140.49 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB59, constB60)) | ![B: $int] : ((v123(constB60, B) <=> v121(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7469])).
% 217.94/140.49 tff(7471,plain,
% 217.94/140.49 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB59, constB60)) | ![B: $int] : ((v123(constB60, B) <=> v121(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B))))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7470, 7468])).
% 217.94/140.49 tff(7472,plain,
% 217.94/140.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB59, constB60)) | ![B: $int] : ((v123(constB60, B) <=> v121(constB59, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7473,plain,
% 217.94/140.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB59, constB60)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7472, 7471])).
% 217.94/140.49 tff(7474,plain,
% 217.94/140.49 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7473, 6417, 1527])).
% 217.94/140.49 tff(7475,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 1) <=> v121(constB59, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 1) <=> v121(constB59, 1)))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7476,plain,
% 217.94/140.49 (($false | $false | (v123(constB60, 1) <=> v121(constB59, 1))) <=> (v123(constB60, 1) <=> v121(constB59, 1))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7477,plain,
% 217.94/140.49 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB60, 1) <=> v121(constB59, 1))) <=> ($false | $false | (v123(constB60, 1) <=> v121(constB59, 1)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[402, 401])).
% 217.94/140.49 tff(7478,plain,
% 217.94/140.49 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB60, 1) <=> v121(constB59, 1))) <=> (v123(constB60, 1) <=> v121(constB59, 1))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7477, 7476])).
% 217.94/140.49 tff(7479,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB60, 1) <=> v121(constB59, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 1) <=> v121(constB59, 1)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7478])).
% 217.94/140.49 tff(7480,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB60, 1) <=> v121(constB59, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 1) <=> v121(constB59, 1)))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7479, 7475])).
% 217.94/140.49 tff(7481,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB60, 1) <=> v121(constB59, 1)))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7482,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 1) <=> v121(constB59, 1))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 217.94/140.49 tff(7483,plain,
% 217.94/140.49 ($false),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7482, 7474, 7467])).
% 217.94/140.49 tff(7484,plain,(v123(constB60, 1) <=> v121(constB59, 1)), inference(lemma,lemma(discharge,[]))).
% 217.94/140.49 tff(7485,plain,
% 217.94/140.49 ((~(v123(constB60, 1) <=> v121(constB59, 1))) | v123(constB60, 1) | (~v121(constB59, 1))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7486,plain,
% 217.94/140.49 (v123(constB60, 1) | (~v121(constB59, 1))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7485, 7484])).
% 217.94/140.49 tff(7487,plain,
% 217.94/140.49 (~v121(constB59, 1)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7486, 7466])).
% 217.94/140.49 tff(7488,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 2) <=> v124(constB59, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 2) <=> v124(constB59, 2)))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7489,plain,
% 217.94/140.49 (($false | $false | (v121(constB59, 2) <=> v124(constB59, 2))) <=> (v121(constB59, 2) <=> v124(constB59, 2))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7490,plain,
% 217.94/140.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB59, 2) <=> v124(constB59, 2))) <=> ($false | $false | (v121(constB59, 2) <=> v124(constB59, 2)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[534, 533])).
% 217.94/140.49 tff(7491,plain,
% 217.94/140.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB59, 2) <=> v124(constB59, 2))) <=> (v121(constB59, 2) <=> v124(constB59, 2))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7490, 7489])).
% 217.94/140.49 tff(7492,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB59, 2) <=> v124(constB59, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 2) <=> v124(constB59, 2)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7491])).
% 217.94/140.49 tff(7493,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB59, 2) <=> v124(constB59, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 2) <=> v124(constB59, 2)))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7492, 7488])).
% 217.94/140.49 tff(7494,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB59, 2) <=> v124(constB59, 2)))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7495,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 2) <=> v124(constB59, 2))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7494, 7493])).
% 217.94/140.49 tff(7496,plain,
% 217.94/140.49 (v121(constB59, 2) <=> v124(constB59, 2)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7495, 7445])).
% 217.94/140.49 tff(7497,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 2) <=> v121(constB59, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 2) <=> v121(constB59, 2)))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7498,plain,
% 217.94/140.49 (($false | $false | (v123(constB60, 2) <=> v121(constB59, 2))) <=> (v123(constB60, 2) <=> v121(constB59, 2))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7499,plain,
% 217.94/140.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB60, 2) <=> v121(constB59, 2))) <=> ($false | $false | (v123(constB60, 2) <=> v121(constB59, 2)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[534, 533])).
% 217.94/140.49 tff(7500,plain,
% 217.94/140.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB60, 2) <=> v121(constB59, 2))) <=> (v123(constB60, 2) <=> v121(constB59, 2))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7499, 7498])).
% 217.94/140.49 tff(7501,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB60, 2) <=> v121(constB59, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 2) <=> v121(constB59, 2)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7500])).
% 217.94/140.49 tff(7502,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB60, 2) <=> v121(constB59, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 2) <=> v121(constB59, 2)))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7501, 7497])).
% 217.94/140.49 tff(7503,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB60, 2) <=> v121(constB59, 2)))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7504,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 2) <=> v121(constB59, 2))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7503, 7502])).
% 217.94/140.49 tff(7505,plain,
% 217.94/140.49 (v123(constB60, 2) <=> v121(constB59, 2)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7504, 7474])).
% 217.94/140.49 tff(7506,plain,
% 217.94/140.49 ((v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)) | (~v84(constB61, 2))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7507,plain,
% 217.94/140.49 (~v84(constB61, 2)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7506, 7457])).
% 217.94/140.49 tff(7508,plain,
% 217.94/140.49 ((~(v84(constB61, 2) <=> v84(constB60, 2))) | (~v84(constB60, 2))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6648, 7507])).
% 217.94/140.49 tff(7509,plain,
% 217.94/140.49 (~v84(constB60, 2)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7508, 6635])).
% 217.94/140.49 tff(7510,plain,
% 217.94/140.49 (~v84(constB61, 0)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6696, 7457])).
% 217.94/140.49 tff(7511,plain,
% 217.94/140.49 ((~(v84(constB61, 0) <=> v84(constB60, 0))) | (~v84(constB60, 0))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6693, 7510])).
% 217.94/140.49 tff(7512,plain,
% 217.94/140.49 (~v84(constB60, 0)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7511, 6680])).
% 217.94/140.49 tff(7513,plain,
% 217.94/140.49 ((~(v84(constB61, 1) <=> v84(constB60, 1))) | (~v84(constB60, 1))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6609, 7459])).
% 217.94/140.49 tff(7514,plain,
% 217.94/140.49 (~v84(constB60, 1)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7513, 6408])).
% 217.94/140.49 tff(7515,assumption,(~v94(constB60)), introduced(assumption)).
% 217.94/140.49 tff(7516,plain,
% 217.94/140.49 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v84(constB59, B)))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6440, 7515])).
% 217.94/140.49 tff(7517,plain,
% 217.94/140.49 (v84(constB60, 0) <=> v84(constB59, 0)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6688, 7516])).
% 217.94/140.49 tff(7518,assumption,(~v84(constB60, 0)), introduced(assumption)).
% 217.94/140.49 tff(7519,plain,
% 217.94/140.49 ((~(v84(constB60, 0) <=> v84(constB59, 0))) | (~v84(constB59, 0))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6690, 7518])).
% 217.94/140.49 tff(7520,plain,
% 217.94/140.49 (~v84(constB59, 0)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7519, 7517])).
% 217.94/140.49 tff(7521,plain,
% 217.94/140.49 (v84(constB60, 2) <=> v84(constB59, 2)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6643, 7516])).
% 217.94/140.49 tff(7522,assumption,(~v84(constB60, 2)), introduced(assumption)).
% 217.94/140.49 tff(7523,plain,
% 217.94/140.49 ((~(v84(constB60, 2) <=> v84(constB59, 2))) | (~v84(constB59, 2))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6645, 7522])).
% 217.94/140.49 tff(7524,plain,
% 217.94/140.49 (~v84(constB59, 2)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7523, 7521])).
% 217.94/140.49 tff(7525,plain,
% 217.94/140.49 (v84(constB60, 1) <=> v84(constB59, 1)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6449, 7516])).
% 217.94/140.49 tff(7526,assumption,(~v84(constB60, 1)), introduced(assumption)).
% 217.94/140.49 tff(7527,plain,
% 217.94/140.49 ((~(v84(constB60, 1) <=> v84(constB59, 1))) | (~v84(constB59, 1))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6606, 7526])).
% 217.94/140.49 tff(7528,plain,
% 217.94/140.49 (~v84(constB59, 1)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7527, 7525])).
% 217.94/140.49 tff(7529,plain,
% 217.94/140.49 (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6563, 7528, 7524, 7520])).
% 217.94/140.49 tff(7530,plain,
% 217.94/140.49 ((~(v113(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2))))) | v113(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6529, 7529])).
% 217.94/140.49 tff(7531,plain,
% 217.94/140.49 (v113(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7530, 6498])).
% 217.94/140.49 tff(7532,plain,
% 217.94/140.49 (v113(constB59) | v114(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6527, 7531])).
% 217.94/140.49 tff(7533,plain,
% 217.94/140.49 ((~(v112(constB59) <=> (v113(constB59) | v114(constB59)))) | v112(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6524, 7532])).
% 217.94/140.49 tff(7534,plain,
% 217.94/140.49 (v112(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7533, 6500])).
% 217.94/140.49 tff(7535,plain,
% 217.94/140.49 (v112(constB59) | v115(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6522, 7534])).
% 217.94/140.49 tff(7536,plain,
% 217.94/140.49 (v111(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6519, 7535, 6502])).
% 217.94/140.49 tff(7537,plain,
% 217.94/140.49 ((~v95(constB60)) | (~v104(constB60))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7415, 7515])).
% 217.94/140.49 tff(7538,plain,
% 217.94/140.49 (~v104(constB60)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7412, 7537])).
% 217.94/140.49 tff(7539,plain,
% 217.94/140.49 (~v102(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7378, 7538])).
% 217.94/140.49 tff(7540,plain,
% 217.94/140.49 (~(v105(constB59) | v106(constB59))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7375, 7539])).
% 217.94/140.49 tff(7541,plain,
% 217.94/140.49 (~v106(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6462, 7540])).
% 217.94/140.49 tff(7542,plain,
% 217.94/140.49 ((~v107(constB59)) | (~v120(constB59))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6467, 7541])).
% 217.94/140.49 tff(7543,plain,
% 217.94/140.49 (~v107(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6482, 7542])).
% 217.94/140.49 tff(7544,plain,
% 217.94/140.49 ((~(v107(constB59) <=> (v108(constB59) | v119(constB59)))) | (~(v108(constB59) | v119(constB59)))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6484, 7543])).
% 217.94/140.49 tff(7545,plain,
% 217.94/140.49 (~(v108(constB59) | v119(constB59))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7544, 6461])).
% 217.94/140.49 tff(7546,plain,
% 217.94/140.49 (~v108(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6487, 7545])).
% 217.94/140.49 tff(7547,plain,
% 217.94/140.49 ((~(v108(constB59) <=> (v109(constB59) | v118(constB59)))) | (~(v109(constB59) | v118(constB59)))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6489, 7546])).
% 217.94/140.49 tff(7548,plain,
% 217.94/140.49 (~(v109(constB59) | v118(constB59))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7547, 6459])).
% 217.94/140.49 tff(7549,plain,
% 217.94/140.49 (~v109(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6507, 7548])).
% 217.94/140.49 tff(7550,plain,
% 217.94/140.49 ((~(v109(constB59) <=> (v110(constB59) | v117(constB59)))) | (~(v110(constB59) | v117(constB59)))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6509, 7549])).
% 217.94/140.49 tff(7551,plain,
% 217.94/140.49 (~(v110(constB59) | v117(constB59))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7550, 6506])).
% 217.94/140.49 tff(7552,plain,
% 217.94/140.49 (~v110(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6512, 7551])).
% 217.94/140.49 tff(7553,plain,
% 217.94/140.49 (~(v111(constB59) | v116(constB59))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6514, 7552, 6504])).
% 217.94/140.49 tff(7554,plain,
% 217.94/140.49 ($false),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[6517, 7553, 7536])).
% 217.94/140.49 tff(7555,plain,(v94(constB60) | v84(constB60, 1) | v84(constB60, 0) | v84(constB60, 2)), inference(lemma,lemma(discharge,[]))).
% 217.94/140.49 tff(7556,plain,
% 217.94/140.49 (v94(constB60)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7555, 7514, 7512, 7509])).
% 217.94/140.49 tff(7557,plain,
% 217.94/140.49 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7423, 7556])).
% 217.94/140.49 tff(7558,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 2) <=> v123(constB60, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 2) <=> v123(constB60, 2)))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7559,plain,
% 217.94/140.49 (($false | $false | (v84(constB60, 2) <=> v123(constB60, 2))) <=> (v84(constB60, 2) <=> v123(constB60, 2))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7560,plain,
% 217.94/140.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB60, 2) <=> v123(constB60, 2))) <=> ($false | $false | (v84(constB60, 2) <=> v123(constB60, 2)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[534, 533])).
% 217.94/140.49 tff(7561,plain,
% 217.94/140.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB60, 2) <=> v123(constB60, 2))) <=> (v84(constB60, 2) <=> v123(constB60, 2))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7560, 7559])).
% 217.94/140.49 tff(7562,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB60, 2) <=> v123(constB60, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 2) <=> v123(constB60, 2)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7561])).
% 217.94/140.49 tff(7563,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB60, 2) <=> v123(constB60, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 2) <=> v123(constB60, 2)))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7562, 7558])).
% 217.94/140.49 tff(7564,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB60, 2) <=> v123(constB60, 2)))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7565,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 2) <=> v123(constB60, 2))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7564, 7563])).
% 217.94/140.49 tff(7566,plain,
% 217.94/140.49 (v84(constB60, 2) <=> v123(constB60, 2)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7565, 7557])).
% 217.94/140.49 tff(7567,plain,
% 217.94/140.49 ((~(v84(constB60, 2) <=> v123(constB60, 2))) | v84(constB60, 2) | (~v123(constB60, 2))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7568,plain,
% 217.94/140.49 ((~(v84(constB60, 2) <=> v123(constB60, 2))) | (~v123(constB60, 2))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7567, 7509])).
% 217.94/140.49 tff(7569,plain,
% 217.94/140.49 (~v123(constB60, 2)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7568, 7566])).
% 217.94/140.49 tff(7570,plain,
% 217.94/140.49 ((~(v123(constB60, 2) <=> v121(constB59, 2))) | v123(constB60, 2) | (~v121(constB59, 2))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7571,plain,
% 217.94/140.49 ((~(v123(constB60, 2) <=> v121(constB59, 2))) | (~v121(constB59, 2))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7570, 7569])).
% 217.94/140.49 tff(7572,plain,
% 217.94/140.49 (~v121(constB59, 2)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7571, 7505])).
% 217.94/140.49 tff(7573,plain,
% 217.94/140.49 ((~(v121(constB59, 2) <=> v124(constB59, 2))) | v121(constB59, 2) | (~v124(constB59, 2))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7574,plain,
% 217.94/140.49 ((~(v121(constB59, 2) <=> v124(constB59, 2))) | (~v124(constB59, 2))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7573, 7572])).
% 217.94/140.49 tff(7575,plain,
% 217.94/140.49 (~v124(constB59, 2)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7574, 7496])).
% 217.94/140.49 tff(7576,plain,
% 217.94/140.49 ((~(v124(constB59, 2) <=> b100(2))) | v124(constB59, 2) | (~b100(2))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7577,plain,
% 217.94/140.49 (~(v124(constB59, 2) <=> b100(2))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7576, 2250, 7575])).
% 217.94/140.49 tff(7578,plain,
% 217.94/140.49 ((~(v114(constB59) <=> (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))))) | (~v114(constB59)) | (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7579,plain,
% 217.94/140.49 ((~(v114(constB59) <=> (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))))) | (~v114(constB59))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7578, 6597])).
% 217.94/140.49 tff(7580,plain,
% 217.94/140.49 (~v114(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7579, 6577])).
% 217.94/140.49 tff(7581,assumption,(~v124(constB59, 2)), introduced(assumption)).
% 217.94/140.49 tff(7582,plain,
% 217.94/140.49 ((~(v124(constB59, 2) <=> b110(2))) | v124(constB59, 2) | (~b110(2))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7583,plain,
% 217.94/140.49 (~(v124(constB59, 2) <=> b110(2))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7582, 1598, 7581])).
% 217.94/140.49 tff(7584,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))), introduced(assumption)).
% 217.94/140.49 tff(7585,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 2) <=> b110(2)))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7586,plain,
% 217.94/140.49 (($false | $false | (v124(constB59, 2) <=> b110(2))) <=> (v124(constB59, 2) <=> b110(2))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7587,plain,
% 217.94/140.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b110(2))) <=> ($false | $false | (v124(constB59, 2) <=> b110(2)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[534, 533])).
% 217.94/140.49 tff(7588,plain,
% 217.94/140.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b110(2))) <=> (v124(constB59, 2) <=> b110(2))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7587, 7586])).
% 217.94/140.49 tff(7589,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 2) <=> b110(2)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7588])).
% 217.94/140.49 tff(7590,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 2) <=> b110(2)))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7589, 7585])).
% 217.94/140.49 tff(7591,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b110(2)))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7592,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 2) <=> b110(2))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7591, 7590])).
% 217.94/140.49 tff(7593,plain,
% 217.94/140.49 ($false),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7592, 7584, 7583])).
% 217.94/140.49 tff(7594,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | v124(constB59, 2)), inference(lemma,lemma(discharge,[]))).
% 217.94/140.49 tff(7595,plain,
% 217.94/140.49 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7594, 7575])).
% 217.94/140.49 tff(7596,plain,
% 217.94/140.49 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B))))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7597,plain,
% 217.94/140.49 (((~v118(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B))))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7598,plain,
% 217.94/140.49 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7597])).
% 217.94/140.49 tff(7599,plain,
% 217.94/140.49 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B))))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7598, 7596])).
% 217.94/140.49 tff(7600,plain,
% 217.94/140.49 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7601,plain,
% 217.94/140.49 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7600, 7599])).
% 217.94/140.49 tff(7602,plain,
% 217.94/140.49 ((~v118(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7601, 1977])).
% 217.94/140.49 tff(7603,plain,
% 217.94/140.49 (~v118(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7602, 7595])).
% 217.94/140.49 tff(7604,plain,
% 217.94/140.49 ((~(v124(constB59, 2) <=> b101(2))) | v124(constB59, 2) | (~b101(2))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7605,plain,
% 217.94/140.49 (~(v124(constB59, 2) <=> b101(2))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7604, 2354, 7581])).
% 217.94/140.49 tff(7606,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))), introduced(assumption)).
% 217.94/140.49 tff(7607,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | (v124(constB59, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | (v124(constB59, 2) <=> b101(2)))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7608,plain,
% 217.94/140.49 (($false | $false | (v124(constB59, 2) <=> b101(2))) <=> (v124(constB59, 2) <=> b101(2))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7609,plain,
% 217.94/140.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b101(2))) <=> ($false | $false | (v124(constB59, 2) <=> b101(2)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[534, 533])).
% 217.94/140.49 tff(7610,plain,
% 217.94/140.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b101(2))) <=> (v124(constB59, 2) <=> b101(2))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7609, 7608])).
% 217.94/140.49 tff(7611,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | (v124(constB59, 2) <=> b101(2)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7610])).
% 217.94/140.49 tff(7612,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | (v124(constB59, 2) <=> b101(2)))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7611, 7607])).
% 217.94/140.49 tff(7613,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b101(2)))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7614,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | (v124(constB59, 2) <=> b101(2))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7613, 7612])).
% 217.94/140.49 tff(7615,plain,
% 217.94/140.49 ($false),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7614, 7606, 7605])).
% 217.94/140.49 tff(7616,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | v124(constB59, 2)), inference(lemma,lemma(discharge,[]))).
% 217.94/140.49 tff(7617,plain,
% 217.94/140.49 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7616, 7575])).
% 217.94/140.49 tff(7618,assumption,(v117(constB59)), introduced(assumption)).
% 217.94/140.49 tff(7619,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))), introduced(assumption)).
% 217.94/140.49 tff(7620,plain,
% 217.94/140.49 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B))))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7621,plain,
% 217.94/140.49 (((~v117(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B))))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7622,plain,
% 217.94/140.49 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7621])).
% 217.94/140.49 tff(7623,plain,
% 217.94/140.49 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B))))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7622, 7620])).
% 217.94/140.49 tff(7624,plain,
% 217.94/140.49 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7625,plain,
% 217.94/140.49 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7624, 7623])).
% 217.94/140.49 tff(7626,plain,
% 217.94/140.49 ($false),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7625, 2090, 7619, 7618])).
% 217.94/140.49 tff(7627,plain,((~v117(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.49 tff(7628,plain,
% 217.94/140.49 (~v117(constB59)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7627, 7617])).
% 217.94/140.49 tff(7629,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 0) <=> v124(constB59, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 0) <=> v124(constB59, 0)))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7630,plain,
% 217.94/140.49 (($false | $false | (v121(constB59, 0) <=> v124(constB59, 0))) <=> (v121(constB59, 0) <=> v124(constB59, 0))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7631,plain,
% 217.94/140.49 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB59, 0) <=> v124(constB59, 0))) <=> ($false | $false | (v121(constB59, 0) <=> v124(constB59, 0)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[250, 249])).
% 217.94/140.49 tff(7632,plain,
% 217.94/140.49 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB59, 0) <=> v124(constB59, 0))) <=> (v121(constB59, 0) <=> v124(constB59, 0))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7631, 7630])).
% 217.94/140.49 tff(7633,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB59, 0) <=> v124(constB59, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 0) <=> v124(constB59, 0)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7632])).
% 217.94/140.49 tff(7634,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB59, 0) <=> v124(constB59, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 0) <=> v124(constB59, 0)))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7633, 7629])).
% 217.94/140.49 tff(7635,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB59, 0) <=> v124(constB59, 0)))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7636,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB59, B) <=> v124(constB59, B)))) | (v121(constB59, 0) <=> v124(constB59, 0))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7635, 7634])).
% 217.94/140.49 tff(7637,plain,
% 217.94/140.49 (v121(constB59, 0) <=> v124(constB59, 0)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7636, 7445])).
% 217.94/140.49 tff(7638,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 0) <=> v121(constB59, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 0) <=> v121(constB59, 0)))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7639,plain,
% 217.94/140.49 (($false | $false | (v123(constB60, 0) <=> v121(constB59, 0))) <=> (v123(constB60, 0) <=> v121(constB59, 0))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7640,plain,
% 217.94/140.49 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB60, 0) <=> v121(constB59, 0))) <=> ($false | $false | (v123(constB60, 0) <=> v121(constB59, 0)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[250, 249])).
% 217.94/140.49 tff(7641,plain,
% 217.94/140.49 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB60, 0) <=> v121(constB59, 0))) <=> (v123(constB60, 0) <=> v121(constB59, 0))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7640, 7639])).
% 217.94/140.49 tff(7642,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB60, 0) <=> v121(constB59, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 0) <=> v121(constB59, 0)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7641])).
% 217.94/140.49 tff(7643,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB60, 0) <=> v121(constB59, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 0) <=> v121(constB59, 0)))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7642, 7638])).
% 217.94/140.49 tff(7644,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB60, 0) <=> v121(constB59, 0)))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7645,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB60, B) <=> v121(constB59, B)))) | (v123(constB60, 0) <=> v121(constB59, 0))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7644, 7643])).
% 217.94/140.49 tff(7646,plain,
% 217.94/140.49 (v123(constB60, 0) <=> v121(constB59, 0)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7645, 7474])).
% 217.94/140.49 tff(7647,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 0) <=> v123(constB60, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 0) <=> v123(constB60, 0)))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7648,plain,
% 217.94/140.49 (($false | $false | (v84(constB60, 0) <=> v123(constB60, 0))) <=> (v84(constB60, 0) <=> v123(constB60, 0))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7649,plain,
% 217.94/140.49 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB60, 0) <=> v123(constB60, 0))) <=> ($false | $false | (v84(constB60, 0) <=> v123(constB60, 0)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[250, 249])).
% 217.94/140.49 tff(7650,plain,
% 217.94/140.49 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB60, 0) <=> v123(constB60, 0))) <=> (v84(constB60, 0) <=> v123(constB60, 0))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7649, 7648])).
% 217.94/140.49 tff(7651,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB60, 0) <=> v123(constB60, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 0) <=> v123(constB60, 0)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7650])).
% 217.94/140.49 tff(7652,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB60, 0) <=> v123(constB60, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 0) <=> v123(constB60, 0)))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7651, 7647])).
% 217.94/140.49 tff(7653,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB60, 0) <=> v123(constB60, 0)))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7654,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))) | (v84(constB60, 0) <=> v123(constB60, 0))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7653, 7652])).
% 217.94/140.49 tff(7655,plain,
% 217.94/140.49 (v84(constB60, 0) <=> v123(constB60, 0)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7654, 7557])).
% 217.94/140.49 tff(7656,plain,
% 217.94/140.49 ((~(v84(constB60, 0) <=> v123(constB60, 0))) | v84(constB60, 0) | (~v123(constB60, 0))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7657,plain,
% 217.94/140.49 ((~(v84(constB60, 0) <=> v123(constB60, 0))) | (~v123(constB60, 0))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7656, 7512])).
% 217.94/140.49 tff(7658,plain,
% 217.94/140.49 (~v123(constB60, 0)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7657, 7655])).
% 217.94/140.49 tff(7659,plain,
% 217.94/140.49 ((~(v123(constB60, 0) <=> v121(constB59, 0))) | v123(constB60, 0) | (~v121(constB59, 0))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7660,plain,
% 217.94/140.49 ((~(v123(constB60, 0) <=> v121(constB59, 0))) | (~v121(constB59, 0))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7659, 7658])).
% 217.94/140.49 tff(7661,plain,
% 217.94/140.49 (~v121(constB59, 0)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7660, 7646])).
% 217.94/140.49 tff(7662,plain,
% 217.94/140.49 ((~(v121(constB59, 0) <=> v124(constB59, 0))) | v121(constB59, 0) | (~v124(constB59, 0))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7663,plain,
% 217.94/140.49 ((~(v121(constB59, 0) <=> v124(constB59, 0))) | (~v124(constB59, 0))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7662, 7661])).
% 217.94/140.49 tff(7664,plain,
% 217.94/140.49 (~v124(constB59, 0)),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7663, 7637])).
% 217.94/140.49 tff(7665,assumption,(~v124(constB59, 0)), introduced(assumption)).
% 217.94/140.49 tff(7666,plain,
% 217.94/140.49 ((~(v124(constB59, 0) <=> b001(0))) | v124(constB59, 0) | (~b001(0))),
% 217.94/140.49 inference(tautology,[status(thm)],[])).
% 217.94/140.49 tff(7667,plain,
% 217.94/140.49 (~(v124(constB59, 0) <=> b001(0))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7666, 1940, 7665])).
% 217.94/140.49 tff(7668,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))), introduced(assumption)).
% 217.94/140.49 tff(7669,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 0) <=> b001(0)))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7670,plain,
% 217.94/140.49 (($false | $false | (v124(constB59, 0) <=> b001(0))) <=> (v124(constB59, 0) <=> b001(0))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7671,plain,
% 217.94/140.49 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b001(0))) <=> ($false | $false | (v124(constB59, 0) <=> b001(0)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[250, 249])).
% 217.94/140.49 tff(7672,plain,
% 217.94/140.49 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b001(0))) <=> (v124(constB59, 0) <=> b001(0))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7671, 7670])).
% 217.94/140.49 tff(7673,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 0) <=> b001(0)))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7672])).
% 217.94/140.49 tff(7674,plain,
% 217.94/140.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 0) <=> b001(0)))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7673, 7669])).
% 217.94/140.49 tff(7675,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b001(0)))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7676,plain,
% 217.94/140.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 0) <=> b001(0))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7675, 7674])).
% 217.94/140.49 tff(7677,plain,
% 217.94/140.49 ($false),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7676, 7668, 7667])).
% 217.94/140.49 tff(7678,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | v124(constB59, 0)), inference(lemma,lemma(discharge,[]))).
% 217.94/140.49 tff(7679,plain,
% 217.94/140.49 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7678, 7664])).
% 217.94/140.49 tff(7680,assumption,(v113(constB59)), introduced(assumption)).
% 217.94/140.49 tff(7681,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))), introduced(assumption)).
% 217.94/140.49 tff(7682,plain,
% 217.94/140.49 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B))))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7683,plain,
% 217.94/140.49 (((~v113(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B))))),
% 217.94/140.49 inference(rewrite,[status(thm)],[])).
% 217.94/140.49 tff(7684,plain,
% 217.94/140.49 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))))),
% 217.94/140.49 inference(monotonicity,[status(thm)],[7683])).
% 217.94/140.49 tff(7685,plain,
% 217.94/140.49 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B))))),
% 217.94/140.49 inference(transitivity,[status(thm)],[7684, 7682])).
% 217.94/140.49 tff(7686,plain,
% 217.94/140.49 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.49 inference(quant_inst,[status(thm)],[])).
% 217.94/140.49 tff(7687,plain,
% 217.94/140.49 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))),
% 217.94/140.49 inference(modus_ponens,[status(thm)],[7686, 7685])).
% 217.94/140.49 tff(7688,plain,
% 217.94/140.49 ($false),
% 217.94/140.49 inference(unit_resolution,[status(thm)],[7687, 2117, 7681, 7680])).
% 217.94/140.50 tff(7689,plain,((~v113(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7690,plain,
% 217.94/140.50 (~v113(constB59)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7689, 7679])).
% 217.94/140.50 tff(7691,plain,
% 217.94/140.50 (v121(constB59, 1) <=> v124(constB59, 1)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7453, 7445])).
% 217.94/140.50 tff(7692,plain,
% 217.94/140.50 (v123(constB60, 1) <=> v121(constB59, 1)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7482, 7474])).
% 217.94/140.50 tff(7693,plain,
% 217.94/140.50 (v84(constB60, 1) <=> v123(constB60, 1)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7434, 7557])).
% 217.94/140.50 tff(7694,plain,
% 217.94/140.50 ((~(v84(constB60, 1) <=> v123(constB60, 1))) | (~v123(constB60, 1))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7465, 7514])).
% 217.94/140.50 tff(7695,plain,
% 217.94/140.50 (~v123(constB60, 1)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7694, 7693])).
% 217.94/140.50 tff(7696,plain,
% 217.94/140.50 ((~(v123(constB60, 1) <=> v121(constB59, 1))) | (~v121(constB59, 1))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7485, 7695])).
% 217.94/140.50 tff(7697,plain,
% 217.94/140.50 (~v121(constB59, 1)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7696, 7692])).
% 217.94/140.50 tff(7698,plain,
% 217.94/140.50 ((~(v121(constB59, 1) <=> v124(constB59, 1))) | v121(constB59, 1) | (~v124(constB59, 1))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7699,plain,
% 217.94/140.50 ((~(v121(constB59, 1) <=> v124(constB59, 1))) | (~v124(constB59, 1))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7698, 7697])).
% 217.94/140.50 tff(7700,plain,
% 217.94/140.50 (~v124(constB59, 1)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7699, 7691])).
% 217.94/140.50 tff(7701,assumption,(~v124(constB59, 1)), introduced(assumption)).
% 217.94/140.50 tff(7702,plain,
% 217.94/140.50 ((~(v124(constB59, 1) <=> b011(1))) | v124(constB59, 1) | (~b011(1))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7703,plain,
% 217.94/140.50 (~(v124(constB59, 1) <=> b011(1))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7702, 2593, 7701])).
% 217.94/140.50 tff(7704,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))), introduced(assumption)).
% 217.94/140.50 tff(7705,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | (v124(constB59, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | (v124(constB59, 1) <=> b011(1)))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7706,plain,
% 217.94/140.50 (($false | $false | (v124(constB59, 1) <=> b011(1))) <=> (v124(constB59, 1) <=> b011(1))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7707,plain,
% 217.94/140.50 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b011(1))) <=> ($false | $false | (v124(constB59, 1) <=> b011(1)))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[402, 401])).
% 217.94/140.50 tff(7708,plain,
% 217.94/140.50 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b011(1))) <=> (v124(constB59, 1) <=> b011(1))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7707, 7706])).
% 217.94/140.50 tff(7709,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | (v124(constB59, 1) <=> b011(1)))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[7708])).
% 217.94/140.50 tff(7710,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | (v124(constB59, 1) <=> b011(1)))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7709, 7705])).
% 217.94/140.50 tff(7711,plain,
% 217.94/140.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b011(1)))),
% 217.94/140.50 inference(quant_inst,[status(thm)],[])).
% 217.94/140.50 tff(7712,plain,
% 217.94/140.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | (v124(constB59, 1) <=> b011(1))),
% 217.94/140.50 inference(modus_ponens,[status(thm)],[7711, 7710])).
% 217.94/140.50 tff(7713,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7712, 7704, 7703])).
% 217.94/140.50 tff(7714,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | v124(constB59, 1)), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7715,plain,
% 217.94/140.50 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7714, 7700])).
% 217.94/140.50 tff(7716,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))), introduced(assumption)).
% 217.94/140.50 tff(7717,assumption,(v115(constB59)), introduced(assumption)).
% 217.94/140.50 tff(7718,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B))))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7719,plain,
% 217.94/140.50 (((~v115(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B))))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7720,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[7719])).
% 217.94/140.50 tff(7721,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B))))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7720, 7718])).
% 217.94/140.50 tff(7722,plain,
% 217.94/140.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.50 inference(quant_inst,[status(thm)],[])).
% 217.94/140.50 tff(7723,plain,
% 217.94/140.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))),
% 217.94/140.50 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 217.94/140.50 tff(7724,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7723, 2144, 7717, 7716])).
% 217.94/140.50 tff(7725,plain,((~v115(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7726,plain,
% 217.94/140.50 (~v115(constB59)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7725, 7715])).
% 217.94/140.50 tff(7727,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B))))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7728,plain,
% 217.94/140.50 ((v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) <=> (v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B))))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7729,plain,
% 217.94/140.50 (^[B: $int] : rewrite(((v124(constB59, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B))))),
% 217.94/140.50 inference(bind,[status(th)],[])).
% 217.94/140.50 tff(7730,plain,
% 217.94/140.50 (![B: $int] : ((v124(constB59, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))),
% 217.94/140.50 inference(quant_intro,[status(thm)],[7729])).
% 217.94/140.50 tff(7731,plain,
% 217.94/140.50 ((v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ((v124(constB59, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B))))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[7730])).
% 217.94/140.50 tff(7732,plain,
% 217.94/140.50 ((v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ((v124(constB59, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B))))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7731, 7728])).
% 217.94/140.50 tff(7733,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ((v124(constB59, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[7732])).
% 217.94/140.50 tff(7734,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ((v124(constB59, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B))))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7733, 7727])).
% 217.94/140.50 tff(7735,plain,
% 217.94/140.50 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ((v124(constB59, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.50 inference(quant_inst,[status(thm)],[])).
% 217.94/140.50 tff(7736,plain,
% 217.94/140.50 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB59) | v117(constB59) | v116(constB59) | v115(constB59) | v114(constB59) | v113(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))),
% 217.94/140.50 inference(modus_ponens,[status(thm)],[7735, 7734])).
% 217.94/140.50 tff(7737,plain,
% 217.94/140.50 (v118(constB59) | v116(constB59) | v114(constB59)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7736, 1807, 7726, 7679, 7690, 7628])).
% 217.94/140.50 tff(7738,plain,
% 217.94/140.50 (v116(constB59)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7737, 7603, 7580])).
% 217.94/140.50 tff(7739,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B))))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7740,plain,
% 217.94/140.50 (((~v116(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B))))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7741,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[7740])).
% 217.94/140.50 tff(7742,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B))))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7741, 7739])).
% 217.94/140.50 tff(7743,plain,
% 217.94/140.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.50 inference(quant_inst,[status(thm)],[])).
% 217.94/140.50 tff(7744,plain,
% 217.94/140.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))),
% 217.94/140.50 inference(modus_ponens,[status(thm)],[7743, 7742])).
% 217.94/140.50 tff(7745,plain,
% 217.94/140.50 ((~v116(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7744, 2230])).
% 217.94/140.50 tff(7746,plain,
% 217.94/140.50 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7745, 7738])).
% 217.94/140.50 tff(7747,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 2) <=> b100(2)))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7748,plain,
% 217.94/140.50 (($false | $false | (v124(constB59, 2) <=> b100(2))) <=> (v124(constB59, 2) <=> b100(2))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7749,plain,
% 217.94/140.50 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b100(2))) <=> ($false | $false | (v124(constB59, 2) <=> b100(2)))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[534, 533])).
% 217.94/140.50 tff(7750,plain,
% 217.94/140.50 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b100(2))) <=> (v124(constB59, 2) <=> b100(2))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7749, 7748])).
% 217.94/140.50 tff(7751,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 2) <=> b100(2)))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[7750])).
% 217.94/140.50 tff(7752,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 2) <=> b100(2)))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7751, 7747])).
% 217.94/140.50 tff(7753,plain,
% 217.94/140.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b100(2)))),
% 217.94/140.50 inference(quant_inst,[status(thm)],[])).
% 217.94/140.50 tff(7754,plain,
% 217.94/140.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 2) <=> b100(2))),
% 217.94/140.50 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 217.94/140.50 tff(7755,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7754, 7746, 7577])).
% 217.94/140.50 tff(7756,plain,((v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)) | (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7757,plain,
% 217.94/140.50 (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7756, 7457])).
% 217.94/140.50 tff(7758,assumption,(~(v114(constB59) <=> (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))))), introduced(assumption)).
% 217.94/140.50 tff(7759,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6576, 298, 7758])).
% 217.94/140.50 tff(7760,plain,(v114(constB59) <=> (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7761,plain,
% 217.94/140.50 (v114(constB59) | (v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6580, 7760])).
% 217.94/140.50 tff(7762,plain,
% 217.94/140.50 (v114(constB59)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7761, 7757])).
% 217.94/140.50 tff(7763,assumption,(v114(constB59)), introduced(assumption)).
% 217.94/140.50 tff(7764,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))), introduced(assumption)).
% 217.94/140.50 tff(7765,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B))))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7766,plain,
% 217.94/140.50 (((~v114(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B))))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7767,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[7766])).
% 217.94/140.50 tff(7768,plain,
% 217.94/140.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B))))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7767, 7765])).
% 217.94/140.50 tff(7769,plain,
% 217.94/140.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB59)) | ![B: $int] : ((v124(constB59, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.50 inference(quant_inst,[status(thm)],[])).
% 217.94/140.50 tff(7770,plain,
% 217.94/140.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))),
% 217.94/140.50 inference(modus_ponens,[status(thm)],[7769, 7768])).
% 217.94/140.50 tff(7771,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7770, 2418, 7764, 7763])).
% 217.94/140.50 tff(7772,plain,((~v114(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7773,plain,
% 217.94/140.50 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7772, 7762])).
% 217.94/140.50 tff(7774,plain,
% 217.94/140.50 ((~(v124(constB59, 1) <=> b010(1))) | v124(constB59, 1) | (~b010(1))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7775,plain,
% 217.94/140.50 (~(v124(constB59, 1) <=> b010(1))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7774, 2513, 7701])).
% 217.94/140.50 tff(7776,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))), introduced(assumption)).
% 217.94/140.50 tff(7777,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | (v124(constB59, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | (v124(constB59, 1) <=> b010(1)))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7778,plain,
% 217.94/140.50 (($false | $false | (v124(constB59, 1) <=> b010(1))) <=> (v124(constB59, 1) <=> b010(1))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7779,plain,
% 217.94/140.50 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b010(1))) <=> ($false | $false | (v124(constB59, 1) <=> b010(1)))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[402, 401])).
% 217.94/140.50 tff(7780,plain,
% 217.94/140.50 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b010(1))) <=> (v124(constB59, 1) <=> b010(1))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7779, 7778])).
% 217.94/140.50 tff(7781,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | (v124(constB59, 1) <=> b010(1)))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[7780])).
% 217.94/140.50 tff(7782,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | (v124(constB59, 1) <=> b010(1)))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7781, 7777])).
% 217.94/140.50 tff(7783,plain,
% 217.94/140.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b010(1)))),
% 217.94/140.50 inference(quant_inst,[status(thm)],[])).
% 217.94/140.50 tff(7784,plain,
% 217.94/140.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | (v124(constB59, 1) <=> b010(1))),
% 217.94/140.50 inference(modus_ponens,[status(thm)],[7783, 7782])).
% 217.94/140.50 tff(7785,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7784, 7776, 7775])).
% 217.94/140.50 tff(7786,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | v124(constB59, 1)), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7787,plain,
% 217.94/140.50 (v124(constB59, 1)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7786, 7773])).
% 217.94/140.50 tff(7788,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7698, 7787, 7487, 7455])).
% 217.94/140.50 tff(7789,plain,((v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)) | (~(v84(constB60, 1) <=> v123(constB60, 1)))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7790,plain,
% 217.94/140.50 (v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7789, 7437])).
% 217.94/140.50 tff(7791,assumption,(~(v113(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))))), introduced(assumption)).
% 217.94/140.50 tff(7792,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6670, 597, 7791])).
% 217.94/140.50 tff(7793,plain,(v113(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7794,plain,
% 217.94/140.50 ((~v113(constB61)) | (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6698, 7793])).
% 217.94/140.50 tff(7795,plain,
% 217.94/140.50 (~v113(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7794, 7790])).
% 217.94/140.50 tff(7796,plain,
% 217.94/140.50 (v84(constB60, 0) <=> v123(constB60, 0)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7654, 7426])).
% 217.94/140.50 tff(7797,assumption,(~v107(constB61)), introduced(assumption)).
% 217.94/140.50 tff(7798,plain,
% 217.94/140.50 ((~(v107(constB61) <=> (v108(constB61) | v119(constB61)))) | v107(constB61) | (~(v108(constB61) | v119(constB61)))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7799,plain,
% 217.94/140.50 ((~(v107(constB61) <=> (v108(constB61) | v119(constB61)))) | (~(v108(constB61) | v119(constB61)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7798, 7797])).
% 217.94/140.50 tff(7800,plain,
% 217.94/140.50 (~(v108(constB61) | v119(constB61))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7799, 6361])).
% 217.94/140.50 tff(7801,plain,
% 217.94/140.50 ((v108(constB61) | v119(constB61)) | (~v108(constB61))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7802,plain,
% 217.94/140.50 (~v108(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7801, 7800])).
% 217.94/140.50 tff(7803,plain,
% 217.94/140.50 ((~(v108(constB61) <=> (v109(constB61) | v118(constB61)))) | v108(constB61) | (~(v109(constB61) | v118(constB61)))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7804,plain,
% 217.94/140.50 ((~(v108(constB61) <=> (v109(constB61) | v118(constB61)))) | (~(v109(constB61) | v118(constB61)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7803, 7802])).
% 217.94/140.50 tff(7805,plain,
% 217.94/140.50 (~(v109(constB61) | v118(constB61))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7804, 6363])).
% 217.94/140.50 tff(7806,plain,
% 217.94/140.50 ((v109(constB61) | v118(constB61)) | (~v109(constB61))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7807,plain,
% 217.94/140.50 (~v109(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7806, 7805])).
% 217.94/140.50 tff(7808,plain,
% 217.94/140.50 ((~(v109(constB61) <=> (v110(constB61) | v117(constB61)))) | v109(constB61) | (~(v110(constB61) | v117(constB61)))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7809,plain,
% 217.94/140.50 ((~(v109(constB61) <=> (v110(constB61) | v117(constB61)))) | (~(v110(constB61) | v117(constB61)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7808, 7807])).
% 217.94/140.50 tff(7810,plain,
% 217.94/140.50 (~(v110(constB61) | v117(constB61))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7809, 6617])).
% 217.94/140.50 tff(7811,plain,
% 217.94/140.50 ((v110(constB61) | v117(constB61)) | (~v117(constB61))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7812,plain,
% 217.94/140.50 (~v117(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7811, 7810])).
% 217.94/140.50 tff(7813,plain,
% 217.94/140.50 ((~(v117(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))))) | v117(constB61) | (v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7814,plain,
% 217.94/140.50 ((~(v117(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))))) | (v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7813, 7812])).
% 217.94/140.50 tff(7815,plain,
% 217.94/140.50 (v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7814, 6728])).
% 217.94/140.50 tff(7816,plain,
% 217.94/140.50 ((v110(constB61) | v117(constB61)) | (~v110(constB61))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7817,plain,
% 217.94/140.50 (~v110(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7816, 7810])).
% 217.94/140.50 tff(7818,plain,
% 217.94/140.50 ((~(v110(constB61) <=> (v111(constB61) | v116(constB61)))) | v110(constB61) | (~(v111(constB61) | v116(constB61)))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7819,plain,
% 217.94/140.50 ((~(v110(constB61) <=> (v111(constB61) | v116(constB61)))) | (~(v111(constB61) | v116(constB61)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7818, 7817])).
% 217.94/140.50 tff(7820,plain,
% 217.94/140.50 (~(v111(constB61) | v116(constB61))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7819, 6619])).
% 217.94/140.50 tff(7821,plain,
% 217.94/140.50 ((v111(constB61) | v116(constB61)) | (~v111(constB61))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7822,plain,
% 217.94/140.50 (~v111(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7821, 7820])).
% 217.94/140.50 tff(7823,plain,
% 217.94/140.50 ((~(v111(constB61) <=> (v112(constB61) | v115(constB61)))) | v111(constB61) | (~(v112(constB61) | v115(constB61)))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7824,plain,
% 217.94/140.50 ((~(v111(constB61) <=> (v112(constB61) | v115(constB61)))) | (~(v112(constB61) | v115(constB61)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7823, 7822])).
% 217.94/140.50 tff(7825,plain,
% 217.94/140.50 (~(v112(constB61) | v115(constB61))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7824, 6656])).
% 217.94/140.50 tff(7826,plain,
% 217.94/140.50 ((v112(constB61) | v115(constB61)) | (~v115(constB61))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7827,plain,
% 217.94/140.50 (~v115(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7826, 7825])).
% 217.94/140.50 tff(7828,plain,
% 217.94/140.50 ((~(v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))))) | v115(constB61) | (v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7829,plain,
% 217.94/140.50 ((~(v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))))) | (v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7828, 7827])).
% 217.94/140.50 tff(7830,plain,
% 217.94/140.50 (v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7829, 6712])).
% 217.94/140.50 tff(7831,plain,
% 217.94/140.50 ((v108(constB61) | v119(constB61)) | (~v119(constB61))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7832,plain,
% 217.94/140.50 (~v119(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7831, 7800])).
% 217.94/140.50 tff(7833,assumption,(~(v119(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2)))))), introduced(assumption)).
% 217.94/140.50 tff(7834,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6743, 318, 7833])).
% 217.94/140.50 tff(7835,plain,(v119(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7836,plain,
% 217.94/140.50 ((~(v119(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2)))))) | v119(constB61) | (v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2)))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7837,plain,
% 217.94/140.50 (v119(constB61) | (v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7836, 7835])).
% 217.94/140.50 tff(7838,plain,
% 217.94/140.50 (v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7837, 7832])).
% 217.94/140.50 tff(7839,plain,
% 217.94/140.50 ((v112(constB61) | v115(constB61)) | (~v112(constB61))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7840,plain,
% 217.94/140.50 (~v112(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7839, 7825])).
% 217.94/140.50 tff(7841,plain,
% 217.94/140.50 ((~(v112(constB61) <=> (v113(constB61) | v114(constB61)))) | v112(constB61) | (~(v113(constB61) | v114(constB61)))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7842,plain,
% 217.94/140.50 ((~(v112(constB61) <=> (v113(constB61) | v114(constB61)))) | (~(v113(constB61) | v114(constB61)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7841, 7840])).
% 217.94/140.50 tff(7843,plain,
% 217.94/140.50 (~(v113(constB61) | v114(constB61))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7842, 6658])).
% 217.94/140.50 tff(7844,plain,
% 217.94/140.50 ((v113(constB61) | v114(constB61)) | (~v113(constB61))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7845,plain,
% 217.94/140.50 (~v113(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7844, 7843])).
% 217.94/140.50 tff(7846,plain,
% 217.94/140.50 ((~(v113(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))))) | v113(constB61) | (v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7847,plain,
% 217.94/140.50 ((~(v113(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))))) | (v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7846, 7845])).
% 217.94/140.50 tff(7848,plain,
% 217.94/140.50 (v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7847, 6671])).
% 217.94/140.50 tff(7849,assumption,(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2))), introduced(assumption)).
% 217.94/140.50 tff(7850,assumption,(~v84(constB61, 0)), introduced(assumption)).
% 217.94/140.50 tff(7851,assumption,(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))), introduced(assumption)).
% 217.94/140.50 tff(7852,assumption,(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)), introduced(assumption)).
% 217.94/140.50 tff(7853,assumption,(v84(constB61, 1)), introduced(assumption)).
% 217.94/140.50 tff(7854,plain,
% 217.94/140.50 ((~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2)))) | v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7855,plain,
% 217.94/140.50 (~v84(constB61, 2)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7854, 7850, 7853, 7851])).
% 217.94/140.50 tff(7856,plain,
% 217.94/140.50 ((~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))) | v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7857,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7856, 7855, 7850, 7853, 7852])).
% 217.94/140.50 tff(7858,plain,(v84(constB61, 0) | (~v84(constB61, 1)) | (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))) | (~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7859,plain,
% 217.94/140.50 (~v84(constB61, 1)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7858, 7850, 7852, 7851])).
% 217.94/140.50 tff(7860,assumption,(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)), introduced(assumption)).
% 217.94/140.50 tff(7861,plain,
% 217.94/140.50 ((~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))) | v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2)),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7862,plain,
% 217.94/140.50 (v84(constB61, 2)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7861, 7859, 7860, 7850])).
% 217.94/140.50 tff(7863,plain,
% 217.94/140.50 ((~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))) | v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7864,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7863, 7862, 7859, 7850, 7849])).
% 217.94/140.50 tff(7865,plain,(v84(constB61, 0) | (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))) | (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))) | (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))) | (~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7866,plain,
% 217.94/140.50 (v84(constB61, 0)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7865, 7848, 7838, 7830, 7815])).
% 217.94/140.50 tff(7867,plain,
% 217.94/140.50 ((~(v84(constB61, 0) <=> v84(constB60, 0))) | (~v84(constB61, 0)) | v84(constB60, 0)),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7868,plain,
% 217.94/140.50 ((~(v84(constB61, 0) <=> v84(constB60, 0))) | v84(constB60, 0)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7867, 7866])).
% 217.94/140.50 tff(7869,plain,
% 217.94/140.50 (v84(constB60, 0)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7868, 6680])).
% 217.94/140.50 tff(7870,plain,
% 217.94/140.50 ((~(v84(constB60, 0) <=> v123(constB60, 0))) | (~v84(constB60, 0)) | v123(constB60, 0)),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7871,plain,
% 217.94/140.50 ((~(v84(constB60, 0) <=> v123(constB60, 0))) | v123(constB60, 0)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7870, 7869])).
% 217.94/140.50 tff(7872,plain,
% 217.94/140.50 (v123(constB60, 0)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7871, 7796])).
% 217.94/140.50 tff(7873,plain,
% 217.94/140.50 ((~(v123(constB60, 0) <=> v121(constB59, 0))) | (~v123(constB60, 0)) | v121(constB59, 0)),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7874,plain,
% 217.94/140.50 ((~(v123(constB60, 0) <=> v121(constB59, 0))) | v121(constB59, 0)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7873, 7872])).
% 217.94/140.50 tff(7875,plain,
% 217.94/140.50 (v121(constB59, 0)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7874, 7646])).
% 217.94/140.50 tff(7876,plain,
% 217.94/140.50 ((~(v121(constB59, 0) <=> v124(constB59, 0))) | (~v121(constB59, 0)) | v124(constB59, 0)),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7877,plain,
% 217.94/140.50 ((~(v121(constB59, 0) <=> v124(constB59, 0))) | v124(constB59, 0)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7876, 7875])).
% 217.94/140.50 tff(7878,plain,
% 217.94/140.50 (v124(constB59, 0)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7877, 7637])).
% 217.94/140.50 tff(7879,plain,
% 217.94/140.50 ((~(v124(constB59, 0) <=> b110(0))) | (~v124(constB59, 0)) | b110(0)),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7880,plain,
% 217.94/140.50 (~(v124(constB59, 0) <=> b110(0))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7879, 3186, 7878])).
% 217.94/140.50 tff(7881,assumption,(v124(constB59, 0)), introduced(assumption)).
% 217.94/140.50 tff(7882,plain,
% 217.94/140.50 ((~(v124(constB59, 0) <=> b010(0))) | (~v124(constB59, 0)) | b010(0)),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7883,plain,
% 217.94/140.50 (~(v124(constB59, 0) <=> b010(0))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7882, 2437, 7881])).
% 217.94/140.50 tff(7884,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | (v124(constB59, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | (v124(constB59, 0) <=> b010(0)))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7885,plain,
% 217.94/140.50 (($false | $false | (v124(constB59, 0) <=> b010(0))) <=> (v124(constB59, 0) <=> b010(0))),
% 217.94/140.50 inference(rewrite,[status(thm)],[])).
% 217.94/140.50 tff(7886,plain,
% 217.94/140.50 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b010(0))) <=> ($false | $false | (v124(constB59, 0) <=> b010(0)))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[250, 249])).
% 217.94/140.50 tff(7887,plain,
% 217.94/140.50 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b010(0))) <=> (v124(constB59, 0) <=> b010(0))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7886, 7885])).
% 217.94/140.50 tff(7888,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | (v124(constB59, 0) <=> b010(0)))),
% 217.94/140.50 inference(monotonicity,[status(thm)],[7887])).
% 217.94/140.50 tff(7889,plain,
% 217.94/140.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | (v124(constB59, 0) <=> b010(0)))),
% 217.94/140.50 inference(transitivity,[status(thm)],[7888, 7884])).
% 217.94/140.50 tff(7890,plain,
% 217.94/140.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b010(0)))),
% 217.94/140.50 inference(quant_inst,[status(thm)],[])).
% 217.94/140.50 tff(7891,plain,
% 217.94/140.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | (v124(constB59, 0) <=> b010(0))),
% 217.94/140.50 inference(modus_ponens,[status(thm)],[7890, 7889])).
% 217.94/140.50 tff(7892,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7891, 7776, 7883])).
% 217.94/140.50 tff(7893,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))) | (~v124(constB59, 0))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7894,plain,
% 217.94/140.50 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b010(B)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7893, 7878])).
% 217.94/140.50 tff(7895,plain,
% 217.94/140.50 (~v114(constB59)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7770, 2418, 7894])).
% 217.94/140.50 tff(7896,plain,
% 217.94/140.50 (v84(constB60, 1) <=> v123(constB60, 1)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7434, 7426])).
% 217.94/140.50 tff(7897,plain,
% 217.94/140.50 ((v109(constB61) | v118(constB61)) | (~v118(constB61))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7898,plain,
% 217.94/140.50 (~v118(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7897, 7805])).
% 217.94/140.50 tff(7899,assumption,(~(v118(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2)))))), introduced(assumption)).
% 217.94/140.50 tff(7900,plain,
% 217.94/140.50 ($false),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6364, 394, 7899])).
% 217.94/140.50 tff(7901,plain,(v118(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.50 tff(7902,plain,
% 217.94/140.50 ((~(v118(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2)))))) | v118(constB61) | (v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2)))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7903,plain,
% 217.94/140.50 (v118(constB61) | (v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7902, 7901])).
% 217.94/140.50 tff(7904,plain,
% 217.94/140.50 (v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7903, 7898])).
% 217.94/140.50 tff(7905,plain,
% 217.94/140.50 ((~v107(constB61)) | (~v120(constB61))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6755, 7797])).
% 217.94/140.50 tff(7906,plain,
% 217.94/140.50 (~v106(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6760, 7905])).
% 217.94/140.50 tff(7907,plain,
% 217.94/140.50 (~(v105(constB61) | v106(constB61))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6770, 7906])).
% 217.94/140.50 tff(7908,plain,
% 217.94/140.50 (~v102(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6775, 7907])).
% 217.94/140.50 tff(7909,plain,
% 217.94/140.50 (~v104(constB62)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6785, 7908])).
% 217.94/140.50 tff(7910,plain,
% 217.94/140.50 ((~v95(constB62)) | (~v104(constB62))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6787, 7909])).
% 217.94/140.50 tff(7911,plain,
% 217.94/140.50 (~v94(constB62)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6794, 7910])).
% 217.94/140.50 tff(7912,plain,
% 217.94/140.50 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v84(constB61, B)))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6802, 7911])).
% 217.94/140.50 tff(7913,plain,
% 217.94/140.50 (v84(constB62, 2) <=> v84(constB61, 2)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[6859, 7912])).
% 217.94/140.50 tff(7914,plain,
% 217.94/140.50 ((v113(constB61) | v114(constB61)) | (~v114(constB61))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7915,plain,
% 217.94/140.50 (~v114(constB61)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7914, 7843])).
% 217.94/140.50 tff(7916,plain,
% 217.94/140.50 ((~(v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2))))) | v114(constB61) | (v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2))),
% 217.94/140.50 inference(tautology,[status(thm)],[])).
% 217.94/140.50 tff(7917,plain,
% 217.94/140.50 ((~(v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2))))) | (v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2))),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7916, 7915])).
% 217.94/140.50 tff(7918,plain,
% 217.94/140.50 (v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)),
% 217.94/140.50 inference(unit_resolution,[status(thm)],[7917, 6665])).
% 217.94/140.51 tff(7919,plain,
% 217.94/140.51 ((~(v119(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2)))))) | (v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7836, 7832])).
% 217.94/140.51 tff(7920,plain,
% 217.94/140.51 (v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7919, 6744])).
% 217.94/140.51 tff(7921,plain,
% 217.94/140.51 (v84(constB61, 0)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7865, 7815, 7848, 7830, 7920])).
% 217.94/140.51 tff(7922,assumption,(~v84(constB62, 2)), introduced(assumption)).
% 217.94/140.51 tff(7923,plain,
% 217.94/140.51 ((~(v84(constB62, 2) <=> v84(constB61, 2))) | (~v84(constB61, 2))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6861, 7922])).
% 217.94/140.51 tff(7924,plain,
% 217.94/140.51 (~v84(constB61, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7923, 7913])).
% 217.94/140.51 tff(7925,plain,
% 217.94/140.51 ((v111(constB61) | v116(constB61)) | (~v116(constB61))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7926,plain,
% 217.94/140.51 (~v116(constB61)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7925, 7820])).
% 217.94/140.51 tff(7927,assumption,(~(v116(constB61) <=> (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2))))), introduced(assumption)).
% 217.94/140.51 tff(7928,plain,
% 217.94/140.51 ($false),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6625, 521, 7927])).
% 217.94/140.51 tff(7929,plain,(v116(constB61) <=> (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.51 tff(7930,plain,
% 217.94/140.51 ((~(v116(constB61) <=> (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2))))) | v116(constB61) | ((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7931,plain,
% 217.94/140.51 (v116(constB61) | ((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7930, 7929])).
% 217.94/140.51 tff(7932,plain,
% 217.94/140.51 ((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7931, 7926])).
% 217.94/140.51 tff(7933,plain,
% 217.94/140.51 ((~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2))) | (~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7934,plain,
% 217.94/140.51 (~v84(constB61, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7933, 7924, 7932, 7921])).
% 217.94/140.51 tff(7935,plain,
% 217.94/140.51 ((~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2))) | v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7936,plain,
% 217.94/140.51 ($false),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7935, 7934, 7924, 7921, 7918])).
% 217.94/140.51 tff(7937,plain,(v107(constB61) | v84(constB62, 2)), inference(lemma,lemma(discharge,[]))).
% 217.94/140.51 tff(7938,plain,
% 217.94/140.51 (v84(constB62, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7937, 7797])).
% 217.94/140.51 tff(7939,plain,
% 217.94/140.51 ((~(v84(constB62, 2) <=> v84(constB61, 2))) | (~v84(constB62, 2)) | v84(constB61, 2)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7940,plain,
% 217.94/140.51 ((~(v84(constB62, 2) <=> v84(constB61, 2))) | v84(constB61, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7939, 7938])).
% 217.94/140.51 tff(7941,plain,
% 217.94/140.51 (v84(constB61, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7940, 7913])).
% 217.94/140.51 tff(7942,plain,
% 217.94/140.51 ((~(v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2)))) | v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7943,plain,
% 217.94/140.51 (v84(constB61, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7942, 7941, 7866, 7904])).
% 217.94/140.51 tff(7944,plain,
% 217.94/140.51 ((~(v84(constB61, 1) <=> v84(constB60, 1))) | (~v84(constB61, 1)) | v84(constB60, 1)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7945,plain,
% 217.94/140.51 ((~(v84(constB61, 1) <=> v84(constB60, 1))) | v84(constB60, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7944, 7943])).
% 217.94/140.51 tff(7946,plain,
% 217.94/140.51 (v84(constB60, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7945, 6408])).
% 217.94/140.51 tff(7947,plain,
% 217.94/140.51 ((~(v84(constB60, 1) <=> v123(constB60, 1))) | (~v84(constB60, 1)) | v123(constB60, 1)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7948,plain,
% 217.94/140.51 ((~(v84(constB60, 1) <=> v123(constB60, 1))) | v123(constB60, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7947, 7946])).
% 217.94/140.51 tff(7949,plain,
% 217.94/140.51 (v123(constB60, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7948, 7896])).
% 217.94/140.51 tff(7950,plain,
% 217.94/140.51 ((~(v123(constB60, 1) <=> v121(constB59, 1))) | (~v123(constB60, 1)) | v121(constB59, 1)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7951,plain,
% 217.94/140.51 ((~(v123(constB60, 1) <=> v121(constB59, 1))) | v121(constB59, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7950, 7949])).
% 217.94/140.51 tff(7952,plain,
% 217.94/140.51 (v121(constB59, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7951, 7692])).
% 217.94/140.51 tff(7953,plain,
% 217.94/140.51 ((~(v121(constB59, 1) <=> v124(constB59, 1))) | (~v121(constB59, 1)) | v124(constB59, 1)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7954,plain,
% 217.94/140.51 ((~(v121(constB59, 1) <=> v124(constB59, 1))) | v124(constB59, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7953, 7952])).
% 217.94/140.51 tff(7955,plain,
% 217.94/140.51 (v124(constB59, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7954, 7691])).
% 217.94/140.51 tff(7956,assumption,(v124(constB59, 1)), introduced(assumption)).
% 217.94/140.51 tff(7957,plain,
% 217.94/140.51 ((~(v124(constB59, 1) <=> b101(1))) | (~v124(constB59, 1)) | b101(1)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7958,plain,
% 217.94/140.51 (~(v124(constB59, 1) <=> b101(1))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7957, 2330, 7956])).
% 217.94/140.51 tff(7959,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | (v124(constB59, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | (v124(constB59, 1) <=> b101(1)))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(7960,plain,
% 217.94/140.51 (($false | $false | (v124(constB59, 1) <=> b101(1))) <=> (v124(constB59, 1) <=> b101(1))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(7961,plain,
% 217.94/140.51 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b101(1))) <=> ($false | $false | (v124(constB59, 1) <=> b101(1)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[402, 401])).
% 217.94/140.51 tff(7962,plain,
% 217.94/140.51 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b101(1))) <=> (v124(constB59, 1) <=> b101(1))),
% 217.94/140.51 inference(transitivity,[status(thm)],[7961, 7960])).
% 217.94/140.51 tff(7963,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | (v124(constB59, 1) <=> b101(1)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[7962])).
% 217.94/140.51 tff(7964,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | (v124(constB59, 1) <=> b101(1)))),
% 217.94/140.51 inference(transitivity,[status(thm)],[7963, 7959])).
% 217.94/140.51 tff(7965,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b101(1)))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(7966,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | (v124(constB59, 1) <=> b101(1))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 217.94/140.51 tff(7967,plain,
% 217.94/140.51 ($false),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7966, 7606, 7958])).
% 217.94/140.51 tff(7968,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))) | (~v124(constB59, 1))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.51 tff(7969,plain,
% 217.94/140.51 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b101(B)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7968, 7955])).
% 217.94/140.51 tff(7970,plain,
% 217.94/140.51 (~v117(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7627, 7969])).
% 217.94/140.51 tff(7971,plain,
% 217.94/140.51 ((~(v124(constB59, 0) <=> b100(0))) | (~v124(constB59, 0)) | b100(0)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7972,plain,
% 217.94/140.51 (~(v124(constB59, 0) <=> b100(0))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7971, 3674, 7881])).
% 217.94/140.51 tff(7973,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))), introduced(assumption)).
% 217.94/140.51 tff(7974,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 0) <=> b100(0)))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(7975,plain,
% 217.94/140.51 (($false | $false | (v124(constB59, 0) <=> b100(0))) <=> (v124(constB59, 0) <=> b100(0))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(7976,plain,
% 217.94/140.51 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b100(0))) <=> ($false | $false | (v124(constB59, 0) <=> b100(0)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[250, 249])).
% 217.94/140.51 tff(7977,plain,
% 217.94/140.51 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b100(0))) <=> (v124(constB59, 0) <=> b100(0))),
% 217.94/140.51 inference(transitivity,[status(thm)],[7976, 7975])).
% 217.94/140.51 tff(7978,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 0) <=> b100(0)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[7977])).
% 217.94/140.51 tff(7979,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 0) <=> b100(0)))),
% 217.94/140.51 inference(transitivity,[status(thm)],[7978, 7974])).
% 217.94/140.51 tff(7980,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b100(0)))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(7981,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 0) <=> b100(0))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[7980, 7979])).
% 217.94/140.51 tff(7982,plain,
% 217.94/140.51 ($false),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7981, 7973, 7972])).
% 217.94/140.51 tff(7983,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (~v124(constB59, 0))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.51 tff(7984,plain,
% 217.94/140.51 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7983, 7878])).
% 217.94/140.51 tff(7985,plain,
% 217.94/140.51 (~v116(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7745, 7984])).
% 217.94/140.51 tff(7986,plain,
% 217.94/140.51 (v84(constB60, 2) <=> v123(constB60, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7565, 7426])).
% 217.94/140.51 tff(7987,plain,
% 217.94/140.51 ((~(v84(constB61, 2) <=> v84(constB60, 2))) | (~v84(constB61, 2)) | v84(constB60, 2)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7988,plain,
% 217.94/140.51 ((~(v84(constB61, 2) <=> v84(constB60, 2))) | v84(constB60, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7987, 7941])).
% 217.94/140.51 tff(7989,plain,
% 217.94/140.51 (v84(constB60, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7988, 6635])).
% 217.94/140.51 tff(7990,plain,
% 217.94/140.51 ((~(v84(constB60, 2) <=> v123(constB60, 2))) | (~v84(constB60, 2)) | v123(constB60, 2)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7991,plain,
% 217.94/140.51 ((~(v84(constB60, 2) <=> v123(constB60, 2))) | v123(constB60, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7990, 7989])).
% 217.94/140.51 tff(7992,plain,
% 217.94/140.51 (v123(constB60, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7991, 7986])).
% 217.94/140.51 tff(7993,plain,
% 217.94/140.51 ((~(v123(constB60, 2) <=> v121(constB59, 2))) | (~v123(constB60, 2)) | v121(constB59, 2)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7994,plain,
% 217.94/140.51 ((~(v123(constB60, 2) <=> v121(constB59, 2))) | v121(constB59, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7993, 7992])).
% 217.94/140.51 tff(7995,plain,
% 217.94/140.51 (v121(constB59, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7994, 7505])).
% 217.94/140.51 tff(7996,plain,
% 217.94/140.51 ((~(v121(constB59, 2) <=> v124(constB59, 2))) | (~v121(constB59, 2)) | v124(constB59, 2)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(7997,plain,
% 217.94/140.51 ((~(v121(constB59, 2) <=> v124(constB59, 2))) | v124(constB59, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7996, 7995])).
% 217.94/140.51 tff(7998,plain,
% 217.94/140.51 (v124(constB59, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7997, 7496])).
% 217.94/140.51 tff(7999,assumption,(v124(constB59, 2)), introduced(assumption)).
% 217.94/140.51 tff(8000,plain,
% 217.94/140.51 ((~(v124(constB59, 2) <=> b001(2))) | (~v124(constB59, 2)) | b001(2)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8001,plain,
% 217.94/140.51 (~(v124(constB59, 2) <=> b001(2))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8000, 1831, 7999])).
% 217.94/140.51 tff(8002,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 2) <=> b001(2)))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8003,plain,
% 217.94/140.51 (($false | $false | (v124(constB59, 2) <=> b001(2))) <=> (v124(constB59, 2) <=> b001(2))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8004,plain,
% 217.94/140.51 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b001(2))) <=> ($false | $false | (v124(constB59, 2) <=> b001(2)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[534, 533])).
% 217.94/140.51 tff(8005,plain,
% 217.94/140.51 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b001(2))) <=> (v124(constB59, 2) <=> b001(2))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8004, 8003])).
% 217.94/140.51 tff(8006,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 2) <=> b001(2)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[8005])).
% 217.94/140.51 tff(8007,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 2) <=> b001(2)))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8006, 8002])).
% 217.94/140.51 tff(8008,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b001(2)))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(8009,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 2) <=> b001(2))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[8008, 8007])).
% 217.94/140.51 tff(8010,plain,
% 217.94/140.51 ($false),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8009, 7668, 8001])).
% 217.94/140.51 tff(8011,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (~v124(constB59, 2))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.51 tff(8012,plain,
% 217.94/140.51 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8011, 7998])).
% 217.94/140.51 tff(8013,plain,
% 217.94/140.51 (~v113(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7689, 8012])).
% 217.94/140.51 tff(8014,plain,
% 217.94/140.51 (v112(constB59) | v115(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6539, 7717])).
% 217.94/140.51 tff(8015,plain,
% 217.94/140.51 ((~(v111(constB59) <=> (v112(constB59) | v115(constB59)))) | v111(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6519, 8014])).
% 217.94/140.51 tff(8016,plain,
% 217.94/140.51 (v111(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8015, 6502])).
% 217.94/140.51 tff(8017,plain,
% 217.94/140.51 (v111(constB59) | v116(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6517, 8016])).
% 217.94/140.51 tff(8018,plain,
% 217.94/140.51 (v110(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6514, 8017, 6504])).
% 217.94/140.51 tff(8019,plain,
% 217.94/140.51 (v110(constB59) | v117(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6512, 8018])).
% 217.94/140.51 tff(8020,plain,
% 217.94/140.51 (v109(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6509, 8019, 6506])).
% 217.94/140.51 tff(8021,plain,
% 217.94/140.51 (v109(constB59) | v118(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6507, 8020])).
% 217.94/140.51 tff(8022,plain,
% 217.94/140.51 (v108(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6489, 8021, 6459])).
% 217.94/140.51 tff(8023,plain,
% 217.94/140.51 (v108(constB59) | v119(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6487, 8022])).
% 217.94/140.51 tff(8024,plain,
% 217.94/140.51 (v107(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6484, 8023, 6461])).
% 217.94/140.51 tff(8025,plain,
% 217.94/140.51 (~((~v107(constB59)) | (~v120(constB59)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6482, 8024])).
% 217.94/140.51 tff(8026,plain,
% 217.94/140.51 (v106(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6467, 8025])).
% 217.94/140.51 tff(8027,plain,
% 217.94/140.51 (v105(constB59) | v106(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[6462, 8026])).
% 217.94/140.51 tff(8028,plain,
% 217.94/140.51 (v102(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7375, 8027])).
% 217.94/140.51 tff(8029,plain,
% 217.94/140.51 (v104(constB60)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7378, 8028])).
% 217.94/140.51 tff(8030,plain,
% 217.94/140.51 (~((~v95(constB60)) | (~v104(constB60)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7412, 8029])).
% 217.94/140.51 tff(8031,plain,
% 217.94/140.51 (v94(constB60)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7415, 8030])).
% 217.94/140.51 tff(8032,plain,
% 217.94/140.51 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7423, 8031])).
% 217.94/140.51 tff(8033,plain,
% 217.94/140.51 (v84(constB60, 2) <=> v123(constB60, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7565, 8032])).
% 217.94/140.51 tff(8034,assumption,(v84(constB60, 2)), introduced(assumption)).
% 217.94/140.51 tff(8035,plain,
% 217.94/140.51 ((~(v84(constB60, 2) <=> v123(constB60, 2))) | v123(constB60, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7990, 8034])).
% 217.94/140.51 tff(8036,plain,
% 217.94/140.51 (v123(constB60, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8035, 8033])).
% 217.94/140.51 tff(8037,plain,
% 217.94/140.51 ((~(v123(constB60, 2) <=> v121(constB59, 2))) | v121(constB59, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7993, 8036])).
% 217.94/140.51 tff(8038,plain,
% 217.94/140.51 (v121(constB59, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8037, 7505])).
% 217.94/140.51 tff(8039,plain,
% 217.94/140.51 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7723, 2144, 7717])).
% 217.94/140.51 tff(8040,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | (v124(constB59, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | (v124(constB59, 2) <=> b011(2)))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8041,plain,
% 217.94/140.51 (($false | $false | (v124(constB59, 2) <=> b011(2))) <=> (v124(constB59, 2) <=> b011(2))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8042,plain,
% 217.94/140.51 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b011(2))) <=> ($false | $false | (v124(constB59, 2) <=> b011(2)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[534, 533])).
% 217.94/140.51 tff(8043,plain,
% 217.94/140.51 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b011(2))) <=> (v124(constB59, 2) <=> b011(2))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8042, 8041])).
% 217.94/140.51 tff(8044,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | (v124(constB59, 2) <=> b011(2)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[8043])).
% 217.94/140.51 tff(8045,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | (v124(constB59, 2) <=> b011(2)))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8044, 8040])).
% 217.94/140.51 tff(8046,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB59, 2) <=> b011(2)))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(8047,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b011(B)))) | (v124(constB59, 2) <=> b011(2))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 217.94/140.51 tff(8048,plain,
% 217.94/140.51 (v124(constB59, 2) <=> b011(2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8047, 8039])).
% 217.94/140.51 tff(8049,plain,
% 217.94/140.51 ((~(v124(constB59, 2) <=> b011(2))) | (~v124(constB59, 2)) | b011(2)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8050,plain,
% 217.94/140.51 ((~(v124(constB59, 2) <=> b011(2))) | (~v124(constB59, 2))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8049, 2569])).
% 217.94/140.51 tff(8051,plain,
% 217.94/140.51 (~v124(constB59, 2)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8050, 8048])).
% 217.94/140.51 tff(8052,plain,
% 217.94/140.51 ((~(v121(constB59, 2) <=> v124(constB59, 2))) | (~v121(constB59, 2))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7996, 8051])).
% 217.94/140.51 tff(8053,plain,
% 217.94/140.51 ($false),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8052, 8038, 7496])).
% 217.94/140.51 tff(8054,plain,((~v115(constB59)) | (~v84(constB60, 2))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.51 tff(8055,plain,
% 217.94/140.51 (~v115(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8054, 7989])).
% 217.94/140.51 tff(8056,plain,
% 217.94/140.51 (v118(constB59) | v117(constB59) | v116(constB59) | v114(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7736, 1807, 8055, 8012, 8013])).
% 217.94/140.51 tff(8057,plain,
% 217.94/140.51 (v118(constB59)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8056, 7985, 7970, 7895])).
% 217.94/140.51 tff(8058,plain,
% 217.94/140.51 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[7602, 8057])).
% 217.94/140.51 tff(8059,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 0) <=> b110(0)))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8060,plain,
% 217.94/140.51 (($false | $false | (v124(constB59, 0) <=> b110(0))) <=> (v124(constB59, 0) <=> b110(0))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8061,plain,
% 217.94/140.51 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b110(0))) <=> ($false | $false | (v124(constB59, 0) <=> b110(0)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[250, 249])).
% 217.94/140.51 tff(8062,plain,
% 217.94/140.51 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b110(0))) <=> (v124(constB59, 0) <=> b110(0))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8061, 8060])).
% 217.94/140.51 tff(8063,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 0) <=> b110(0)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[8062])).
% 217.94/140.51 tff(8064,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 0) <=> b110(0)))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8063, 8059])).
% 217.94/140.51 tff(8065,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB59, 0) <=> b110(0)))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(8066,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 0) <=> b110(0))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[8065, 8064])).
% 217.94/140.51 tff(8067,plain,
% 217.94/140.51 ($false),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8066, 8058, 7880])).
% 217.94/140.51 tff(8068,plain,(v107(constB61) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B))))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.51 tff(8069,plain,
% 217.94/140.51 (v107(constB61)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8068, 7424])).
% 217.94/140.51 tff(8070,plain,
% 217.94/140.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB61)) <=> v105(constB61))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(8071,plain,
% 217.94/140.51 ((~v120(constB61)) <=> v105(constB61)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8070, 144])).
% 217.94/140.51 tff(8072,plain,
% 217.94/140.51 ((~((~v120(constB61)) <=> v105(constB61))) | v120(constB61) | v105(constB61)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8073,plain,
% 217.94/140.51 ((~((~v120(constB61)) <=> v105(constB61))) | v120(constB61)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8072, 6768])).
% 217.94/140.51 tff(8074,plain,
% 217.94/140.51 (v120(constB61)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8073, 8071])).
% 217.94/140.51 tff(8075,plain,
% 217.94/140.51 ((~((~v107(constB61)) | (~v120(constB61)))) | (~v107(constB61)) | (~v120(constB61))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8076,plain,
% 217.94/140.51 ((~((~v107(constB61)) | (~v120(constB61)))) | (~v107(constB61))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8075, 8074])).
% 217.94/140.51 tff(8077,plain,
% 217.94/140.51 (~((~v107(constB61)) | (~v120(constB61)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8076, 8069])).
% 217.94/140.51 tff(8078,plain,
% 217.94/140.51 ((~(v106(constB61) <=> (~((~v107(constB61)) | (~v120(constB61)))))) | v106(constB61) | ((~v107(constB61)) | (~v120(constB61)))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8079,plain,
% 217.94/140.51 (v106(constB61) | ((~v107(constB61)) | (~v120(constB61)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8078, 6758])).
% 217.94/140.51 tff(8080,plain,
% 217.94/140.51 (v106(constB61)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8079, 8077])).
% 217.94/140.51 tff(8081,plain,
% 217.94/140.51 ((v105(constB61) | v106(constB61)) | (~v106(constB61))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8082,plain,
% 217.94/140.51 (v105(constB61) | v106(constB61)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8081, 8080])).
% 217.94/140.51 tff(8083,plain,
% 217.94/140.51 ((~(v102(constB61) <=> (v105(constB61) | v106(constB61)))) | v102(constB61) | (~(v105(constB61) | v106(constB61)))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8084,plain,
% 217.94/140.51 (v102(constB61) | (~(v105(constB61) | v106(constB61)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8083, 6773])).
% 217.94/140.51 tff(8085,plain,
% 217.94/140.51 (v102(constB61)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8084, 8082])).
% 217.94/140.51 tff(8086,plain,
% 217.94/140.51 ((~(v104(constB62) <=> v102(constB61))) | v104(constB62) | (~v102(constB61))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8087,plain,
% 217.94/140.51 (v104(constB62) | (~v102(constB61))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8086, 6783])).
% 217.94/140.51 tff(8088,plain,
% 217.94/140.51 (v104(constB62)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8087, 8085])).
% 217.94/140.51 tff(8089,plain,
% 217.94/140.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8090,plain,
% 217.94/140.51 (((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62)))))) <=> ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8091,plain,
% 217.94/140.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62)))))))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[8090])).
% 217.94/140.51 tff(8092,plain,
% 217.94/140.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8091, 8089])).
% 217.94/140.51 tff(8093,plain,
% 217.94/140.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62))))))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(8094,plain,
% 217.94/140.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62)))))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[8093, 8092])).
% 217.94/140.51 tff(8095,plain,
% 217.94/140.51 (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8094, 6779, 37])).
% 217.94/140.51 tff(8096,plain,
% 217.94/140.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62)))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8097,plain,
% 217.94/140.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62)))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(8098,plain,
% 217.94/140.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[8097, 8096])).
% 217.94/140.51 tff(8099,plain,
% 217.94/140.51 ((~v96(constB62)) <=> v98(constB62)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8098, 6779, 54])).
% 217.94/140.51 tff(8100,plain,
% 217.94/140.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61)))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8101,plain,
% 217.94/140.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61)))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(8102,plain,
% 217.94/140.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 217.94/140.51 tff(8103,plain,
% 217.94/140.51 (v98(constB62) <=> v1(constB61)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8102, 6779, 68])).
% 217.94/140.51 tff(8104,plain,
% 217.94/140.51 ((~(v98(constB62) <=> v1(constB61))) | (~v98(constB62)) | v1(constB61)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8105,plain,
% 217.94/140.51 ((~(v98(constB62) <=> v1(constB61))) | (~v98(constB62))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8104, 6382])).
% 217.94/140.51 tff(8106,plain,
% 217.94/140.51 (~v98(constB62)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8105, 8103])).
% 217.94/140.51 tff(8107,plain,
% 217.94/140.51 ((~((~v96(constB62)) <=> v98(constB62))) | v96(constB62) | v98(constB62)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8108,plain,
% 217.94/140.51 (v96(constB62)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8107, 8106, 8099])).
% 217.94/140.51 tff(8109,plain,
% 217.94/140.51 (v1(constB62) <=> v1(constB62)),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8110,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62')).
% 217.94/140.51 tff(8111,plain,
% 217.94/140.51 (v1(constB62)),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[8110, 8109])).
% 217.94/140.51 tff(8112,plain,
% 217.94/140.51 ((~((~v1(constB62)) | (~v96(constB62)))) | (~v1(constB62)) | (~v96(constB62))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8113,plain,
% 217.94/140.51 ((~((~v1(constB62)) | (~v96(constB62)))) | (~v96(constB62))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8112, 8111])).
% 217.94/140.51 tff(8114,plain,
% 217.94/140.51 (~((~v1(constB62)) | (~v96(constB62)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8113, 8108])).
% 217.94/140.51 tff(8115,plain,
% 217.94/140.51 ((~(v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62)))))) | v95(constB62) | ((~v1(constB62)) | (~v96(constB62)))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8116,plain,
% 217.94/140.51 (v95(constB62)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8115, 8114, 8095])).
% 217.94/140.51 tff(8117,plain,
% 217.94/140.51 ((~((~v95(constB62)) | (~v104(constB62)))) | (~v95(constB62)) | (~v104(constB62))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8118,plain,
% 217.94/140.51 ((~((~v95(constB62)) | (~v104(constB62)))) | (~v104(constB62))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8117, 8116])).
% 217.94/140.51 tff(8119,plain,
% 217.94/140.51 (~((~v95(constB62)) | (~v104(constB62)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8118, 8088])).
% 217.94/140.51 tff(8120,plain,
% 217.94/140.51 ((~(v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62)))))) | v94(constB62) | ((~v95(constB62)) | (~v104(constB62)))),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8121,plain,
% 217.94/140.51 (v94(constB62) | ((~v95(constB62)) | (~v104(constB62)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8120, 6792])).
% 217.94/140.51 tff(8122,plain,
% 217.94/140.51 (v94(constB62)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8121, 8119])).
% 217.94/140.51 tff(8123,plain,
% 217.94/140.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B))))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8124,plain,
% 217.94/140.51 (((~v94(constB62)) | ![B: $int] : ((v84(constB62, B) <=> v123(constB62, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B))))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8125,plain,
% 217.94/140.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB62)) | ![B: $int] : ((v84(constB62, B) <=> v123(constB62, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[8124])).
% 217.94/140.51 tff(8126,plain,
% 217.94/140.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB62)) | ![B: $int] : ((v84(constB62, B) <=> v123(constB62, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B))))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8125, 8123])).
% 217.94/140.51 tff(8127,plain,
% 217.94/140.51 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB62)) | ![B: $int] : ((v84(constB62, B) <=> v123(constB62, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(8128,plain,
% 217.94/140.51 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[8127, 8126])).
% 217.94/140.51 tff(8129,plain,
% 217.94/140.51 ((~v94(constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8128, 1491])).
% 217.94/140.51 tff(8130,plain,
% 217.94/140.51 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8129, 8122])).
% 217.94/140.51 tff(8131,assumption,(~(v84(constB62, 0) <=> v123(constB62, 0))), introduced(assumption)).
% 217.94/140.51 tff(8132,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))), introduced(assumption)).
% 217.94/140.51 tff(8133,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 0) <=> v123(constB62, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 0) <=> v123(constB62, 0)))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8134,plain,
% 217.94/140.51 (($false | $false | (v84(constB62, 0) <=> v123(constB62, 0))) <=> (v84(constB62, 0) <=> v123(constB62, 0))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8135,plain,
% 217.94/140.51 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB62, 0) <=> v123(constB62, 0))) <=> ($false | $false | (v84(constB62, 0) <=> v123(constB62, 0)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[250, 249])).
% 217.94/140.51 tff(8136,plain,
% 217.94/140.51 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB62, 0) <=> v123(constB62, 0))) <=> (v84(constB62, 0) <=> v123(constB62, 0))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8135, 8134])).
% 217.94/140.51 tff(8137,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB62, 0) <=> v123(constB62, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 0) <=> v123(constB62, 0)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[8136])).
% 217.94/140.51 tff(8138,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB62, 0) <=> v123(constB62, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 0) <=> v123(constB62, 0)))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8137, 8133])).
% 217.94/140.51 tff(8139,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB62, 0) <=> v123(constB62, 0)))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(8140,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 0) <=> v123(constB62, 0))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 217.94/140.51 tff(8141,plain,
% 217.94/140.51 ($false),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8140, 8132, 8131])).
% 217.94/140.51 tff(8142,plain,((v84(constB62, 0) <=> v123(constB62, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B))))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.51 tff(8143,plain,
% 217.94/140.51 (v84(constB62, 0) <=> v123(constB62, 0)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8142, 8130])).
% 217.94/140.51 tff(8144,assumption,(~(v84(constB81, 1) <=> v84(constB80, 1))), introduced(assumption)).
% 217.94/140.51 tff(8145,plain,
% 217.94/140.51 ($false),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[408, 363, 8144])).
% 217.94/140.51 tff(8146,plain,(v84(constB81, 1) <=> v84(constB80, 1)), inference(lemma,lemma(discharge,[]))).
% 217.94/140.51 tff(8147,plain,
% 217.94/140.51 ((~v84(constB81, 1)) | v84(constB80, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[1898, 8146])).
% 217.94/140.51 tff(8148,plain,
% 217.94/140.51 (~v84(constB81, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8147, 3654])).
% 217.94/140.51 tff(8149,plain,
% 217.94/140.51 ((v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))) | v84(constB81, 1)),
% 217.94/140.51 inference(tautology,[status(thm)],[])).
% 217.94/140.51 tff(8150,plain,
% 217.94/140.51 (v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8149, 8148])).
% 217.94/140.51 tff(8151,plain,
% 217.94/140.51 (v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[2639, 8150])).
% 217.94/140.51 tff(8152,plain,
% 217.94/140.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B))))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8153,plain,
% 217.94/140.51 (((~nextState(constB75, constB76)) | ![B: $int] : ((v123(constB76, B) <=> v121(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B))))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8154,plain,
% 217.94/140.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB75, constB76)) | ![B: $int] : ((v123(constB76, B) <=> v121(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[8153])).
% 217.94/140.51 tff(8155,plain,
% 217.94/140.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB75, constB76)) | ![B: $int] : ((v123(constB76, B) <=> v121(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B))))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8154, 8152])).
% 217.94/140.51 tff(8156,plain,
% 217.94/140.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB75, constB76)) | ![B: $int] : ((v123(constB76, B) <=> v121(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(8157,plain,
% 217.94/140.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB75, constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[8156, 8155])).
% 217.94/140.51 tff(8158,plain,
% 217.94/140.51 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8157, 4279, 1527])).
% 217.94/140.51 tff(8159,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 1) <=> v121(constB75, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 1) <=> v121(constB75, 1)))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8160,plain,
% 217.94/140.51 (($false | $false | (v123(constB76, 1) <=> v121(constB75, 1))) <=> (v123(constB76, 1) <=> v121(constB75, 1))),
% 217.94/140.51 inference(rewrite,[status(thm)],[])).
% 217.94/140.51 tff(8161,plain,
% 217.94/140.51 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB76, 1) <=> v121(constB75, 1))) <=> ($false | $false | (v123(constB76, 1) <=> v121(constB75, 1)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[402, 401])).
% 217.94/140.51 tff(8162,plain,
% 217.94/140.51 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB76, 1) <=> v121(constB75, 1))) <=> (v123(constB76, 1) <=> v121(constB75, 1))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8161, 8160])).
% 217.94/140.51 tff(8163,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB76, 1) <=> v121(constB75, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 1) <=> v121(constB75, 1)))),
% 217.94/140.51 inference(monotonicity,[status(thm)],[8162])).
% 217.94/140.51 tff(8164,plain,
% 217.94/140.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB76, 1) <=> v121(constB75, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 1) <=> v121(constB75, 1)))),
% 217.94/140.51 inference(transitivity,[status(thm)],[8163, 8159])).
% 217.94/140.51 tff(8165,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB76, 1) <=> v121(constB75, 1)))),
% 217.94/140.51 inference(quant_inst,[status(thm)],[])).
% 217.94/140.51 tff(8166,plain,
% 217.94/140.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 1) <=> v121(constB75, 1))),
% 217.94/140.51 inference(modus_ponens,[status(thm)],[8165, 8164])).
% 217.94/140.51 tff(8167,plain,
% 217.94/140.51 (v123(constB76, 1) <=> v121(constB75, 1)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[8166, 8158])).
% 217.94/140.51 tff(8168,plain,
% 217.94/140.51 (v107(constB75)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[5127, 4814])).
% 217.94/140.51 tff(8169,plain,
% 217.94/140.51 (~((~v107(constB75)) | (~v120(constB75)))),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[4757, 8168])).
% 217.94/140.51 tff(8170,plain,
% 217.94/140.51 (v106(constB75)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[4749, 8169])).
% 217.94/140.51 tff(8171,plain,
% 217.94/140.51 (v105(constB75) | v106(constB75)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[4746, 8170])).
% 217.94/140.51 tff(8172,plain,
% 217.94/140.51 (v102(constB75)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[4744, 8171])).
% 217.94/140.51 tff(8173,plain,
% 217.94/140.51 (v104(constB76)),
% 217.94/140.51 inference(unit_resolution,[status(thm)],[4741, 8172])).
% 217.94/140.51 tff(8174,plain,
% 217.94/140.51 (~((~v95(constB76)) | (~v104(constB76)))),
% 217.94/140.52 inference(unit_resolution,[status(thm)],[4738, 8173])).
% 217.94/140.52 tff(8175,plain,
% 217.94/140.52 (v94(constB76)),
% 217.94/140.52 inference(unit_resolution,[status(thm)],[4707, 8174])).
% 217.94/140.52 tff(8176,plain,
% 217.94/140.52 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B))))),
% 217.94/140.52 inference(rewrite,[status(thm)],[])).
% 217.94/140.52 tff(8177,plain,
% 217.94/140.52 (((~v94(constB76)) | ![B: $int] : ((v84(constB76, B) <=> v123(constB76, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B))))),
% 217.94/140.52 inference(rewrite,[status(thm)],[])).
% 217.94/140.52 tff(8178,plain,
% 217.94/140.52 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB76)) | ![B: $int] : ((v84(constB76, B) <=> v123(constB76, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))))),
% 217.94/140.52 inference(monotonicity,[status(thm)],[8177])).
% 217.94/140.52 tff(8179,plain,
% 217.94/140.52 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB76)) | ![B: $int] : ((v84(constB76, B) <=> v123(constB76, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B))))),
% 217.94/140.52 inference(transitivity,[status(thm)],[8178, 8176])).
% 217.94/140.52 tff(8180,plain,
% 217.94/140.52 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB76)) | ![B: $int] : ((v84(constB76, B) <=> v123(constB76, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.94/140.52 inference(quant_inst,[status(thm)],[])).
% 217.94/140.52 tff(8181,plain,
% 217.94/140.52 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))),
% 217.94/140.52 inference(modus_ponens,[status(thm)],[8180, 8179])).
% 217.94/140.52 tff(8182,plain,
% 217.94/140.52 ((~v94(constB76)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))),
% 217.94/140.52 inference(unit_resolution,[status(thm)],[8181, 1491])).
% 217.94/140.52 tff(8183,plain,
% 217.94/140.52 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))),
% 217.94/140.52 inference(unit_resolution,[status(thm)],[8182, 8175])).
% 217.94/140.52 tff(8184,plain,
% 217.94/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 1) <=> v123(constB76, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 1) <=> v123(constB76, 1)))),
% 217.94/140.52 inference(rewrite,[status(thm)],[])).
% 217.94/140.52 tff(8185,plain,
% 217.94/140.52 (($false | $false | (v84(constB76, 1) <=> v123(constB76, 1))) <=> (v84(constB76, 1) <=> v123(constB76, 1))),
% 217.94/140.52 inference(rewrite,[status(thm)],[])).
% 217.94/140.52 tff(8186,plain,
% 217.94/140.52 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB76, 1) <=> v123(constB76, 1))) <=> ($false | $false | (v84(constB76, 1) <=> v123(constB76, 1)))),
% 217.94/140.52 inference(monotonicity,[status(thm)],[402, 401])).
% 217.94/140.52 tff(8187,plain,
% 217.94/140.52 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB76, 1) <=> v123(constB76, 1))) <=> (v84(constB76, 1) <=> v123(constB76, 1))),
% 217.94/140.52 inference(transitivity,[status(thm)],[8186, 8185])).
% 217.94/140.52 tff(8188,plain,
% 217.94/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB76, 1) <=> v123(constB76, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 1) <=> v123(constB76, 1)))),
% 217.94/140.52 inference(monotonicity,[status(thm)],[8187])).
% 217.94/140.52 tff(8189,plain,
% 217.94/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB76, 1) <=> v123(constB76, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 1) <=> v123(constB76, 1)))),
% 217.94/140.52 inference(transitivity,[status(thm)],[8188, 8184])).
% 217.94/140.52 tff(8190,plain,
% 217.94/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB76, 1) <=> v123(constB76, 1)))),
% 217.94/140.52 inference(quant_inst,[status(thm)],[])).
% 217.94/140.52 tff(8191,plain,
% 217.94/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 1) <=> v123(constB76, 1))),
% 217.94/140.52 inference(modus_ponens,[status(thm)],[8190, 8189])).
% 217.94/140.52 tff(8192,plain,
% 217.94/140.52 (v84(constB76, 1) <=> v123(constB76, 1)),
% 217.94/140.52 inference(unit_resolution,[status(thm)],[8191, 8183])).
% 217.94/140.52 tff(8193,assumption,(~(v84(constB76, 2) <=> v123(constB76, 2))), introduced(assumption)).
% 217.94/140.52 tff(8194,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))), introduced(assumption)).
% 217.94/140.52 tff(8195,plain,
% 217.94/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 2) <=> v123(constB76, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 2) <=> v123(constB76, 2)))),
% 217.94/140.52 inference(rewrite,[status(thm)],[])).
% 217.94/140.52 tff(8196,plain,
% 217.94/140.52 (($false | $false | (v84(constB76, 2) <=> v123(constB76, 2))) <=> (v84(constB76, 2) <=> v123(constB76, 2))),
% 217.94/140.52 inference(rewrite,[status(thm)],[])).
% 217.94/140.52 tff(8197,plain,
% 217.94/140.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB76, 2) <=> v123(constB76, 2))) <=> ($false | $false | (v84(constB76, 2) <=> v123(constB76, 2)))),
% 217.94/140.52 inference(monotonicity,[status(thm)],[534, 533])).
% 217.94/140.52 tff(8198,plain,
% 217.94/140.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB76, 2) <=> v123(constB76, 2))) <=> (v84(constB76, 2) <=> v123(constB76, 2))),
% 217.94/140.52 inference(transitivity,[status(thm)],[8197, 8196])).
% 217.94/140.52 tff(8199,plain,
% 217.94/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB76, 2) <=> v123(constB76, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 2) <=> v123(constB76, 2)))),
% 217.94/140.52 inference(monotonicity,[status(thm)],[8198])).
% 217.94/140.52 tff(8200,plain,
% 217.94/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB76, 2) <=> v123(constB76, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 2) <=> v123(constB76, 2)))),
% 217.94/140.52 inference(transitivity,[status(thm)],[8199, 8195])).
% 217.94/140.52 tff(8201,plain,
% 217.94/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB76, 2) <=> v123(constB76, 2)))),
% 217.94/140.52 inference(quant_inst,[status(thm)],[])).
% 217.94/140.52 tff(8202,plain,
% 217.94/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 2) <=> v123(constB76, 2))),
% 217.94/140.52 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 217.94/140.52 tff(8203,plain,
% 217.94/140.52 ($false),
% 217.94/140.52 inference(unit_resolution,[status(thm)],[8202, 8194, 8193])).
% 217.94/140.52 tff(8204,plain,((v84(constB76, 2) <=> v123(constB76, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B))))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.52 tff(8205,plain,
% 217.94/140.52 (v84(constB76, 2) <=> v123(constB76, 2)),
% 217.94/140.52 inference(unit_resolution,[status(thm)],[8204, 8183])).
% 217.94/140.52 tff(8206,assumption,(~(v84(constB74, 2) <=> v123(constB74, 2))), introduced(assumption)).
% 217.94/140.52 tff(8207,plain,
% 217.94/140.52 ($false),
% 217.94/140.52 inference(unit_resolution,[status(thm)],[4943, 4814, 8206])).
% 217.94/140.52 tff(8208,plain,((v84(constB74, 2) <=> v123(constB74, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B))))), inference(lemma,lemma(discharge,[]))).
% 217.94/140.52 tff(8209,plain,
% 217.94/140.52 (v84(constB74, 2) <=> v123(constB74, 2)),
% 217.94/140.52 inference(unit_resolution,[status(thm)],[8208, 4814])).
% 217.94/140.52 tff(8210,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))), introduced(assumption)).
% 217.98/140.52 tff(8211,assumption,(~v124(constB73, 2)), introduced(assumption)).
% 217.98/140.52 tff(8212,plain,
% 217.98/140.52 ((~(v124(constB73, 2) <=> b110(2))) | v124(constB73, 2) | (~b110(2))),
% 217.98/140.52 inference(tautology,[status(thm)],[])).
% 217.98/140.52 tff(8213,plain,
% 217.98/140.52 (~(v124(constB73, 2) <=> b110(2))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8212, 1598, 8211])).
% 217.98/140.52 tff(8214,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 2) <=> b110(2)))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8215,plain,
% 217.98/140.52 (($false | $false | (v124(constB73, 2) <=> b110(2))) <=> (v124(constB73, 2) <=> b110(2))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8216,plain,
% 217.98/140.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b110(2))) <=> ($false | $false | (v124(constB73, 2) <=> b110(2)))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[534, 533])).
% 217.98/140.52 tff(8217,plain,
% 217.98/140.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b110(2))) <=> (v124(constB73, 2) <=> b110(2))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8216, 8215])).
% 217.98/140.52 tff(8218,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 2) <=> b110(2)))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[8217])).
% 217.98/140.52 tff(8219,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 2) <=> b110(2)))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8218, 8214])).
% 217.98/140.52 tff(8220,plain,
% 217.98/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b110(2)))),
% 217.98/140.52 inference(quant_inst,[status(thm)],[])).
% 217.98/140.52 tff(8221,plain,
% 217.98/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 2) <=> b110(2))),
% 217.98/140.52 inference(modus_ponens,[status(thm)],[8220, 8219])).
% 217.98/140.52 tff(8222,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8221, 8210, 8213])).
% 217.98/140.52 tff(8223,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | v124(constB73, 2)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8224,plain,
% 217.98/140.52 (v124(constB73, 2)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8223, 8210])).
% 217.98/140.52 tff(8225,assumption,(~(v121(constB73, 2) <=> v124(constB73, 2))), introduced(assumption)).
% 217.98/140.52 tff(8226,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4925, 4849, 8225])).
% 217.98/140.52 tff(8227,plain,(v121(constB73, 2) <=> v124(constB73, 2)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8228,plain,
% 217.98/140.52 ((~(v121(constB73, 2) <=> v124(constB73, 2))) | v121(constB73, 2) | (~v124(constB73, 2))),
% 217.98/140.52 inference(tautology,[status(thm)],[])).
% 217.98/140.52 tff(8229,plain,
% 217.98/140.52 (v121(constB73, 2) | (~v124(constB73, 2))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8228, 8227])).
% 217.98/140.52 tff(8230,plain,
% 217.98/140.52 (v121(constB73, 2)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8229, 8224])).
% 217.98/140.52 tff(8231,assumption,(~(v123(constB74, 2) <=> v121(constB73, 2))), introduced(assumption)).
% 217.98/140.52 tff(8232,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4934, 4865, 8231])).
% 217.98/140.52 tff(8233,plain,(v123(constB74, 2) <=> v121(constB73, 2)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8234,plain,
% 217.98/140.52 ((~(v123(constB74, 2) <=> v121(constB73, 2))) | v123(constB74, 2) | (~v121(constB73, 2))),
% 217.98/140.52 inference(tautology,[status(thm)],[])).
% 217.98/140.52 tff(8235,plain,
% 217.98/140.52 (v123(constB74, 2) | (~v121(constB73, 2))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8234, 8233])).
% 217.98/140.52 tff(8236,plain,
% 217.98/140.52 (v123(constB74, 2)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8235, 8230])).
% 217.98/140.52 tff(8237,plain,
% 217.98/140.52 ((~(v84(constB74, 2) <=> v123(constB74, 2))) | v84(constB74, 2) | (~v123(constB74, 2))),
% 217.98/140.52 inference(tautology,[status(thm)],[])).
% 217.98/140.52 tff(8238,plain,
% 217.98/140.52 (v84(constB74, 2)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8237, 8236, 8209])).
% 217.98/140.52 tff(8239,assumption,(~(v84(constB75, 2) <=> v84(constB74, 2))), introduced(assumption)).
% 217.98/140.52 tff(8240,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4129, 3906, 8239])).
% 217.98/140.52 tff(8241,plain,(v84(constB75, 2) <=> v84(constB74, 2)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8242,plain,
% 217.98/140.52 (v84(constB75, 2) | (~v84(constB74, 2))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4143, 8241])).
% 217.98/140.52 tff(8243,plain,
% 217.98/140.52 (v84(constB75, 2)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8242, 8238])).
% 217.98/140.52 tff(8244,plain,
% 217.98/140.52 ((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[6168, 8243])).
% 217.98/140.52 tff(8245,assumption,(~(v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))))), introduced(assumption)).
% 217.98/140.52 tff(8246,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4201, 622, 8245])).
% 217.98/140.52 tff(8247,plain,(v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)))), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8248,plain,
% 217.98/140.52 ((~v115(constB75)) | (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4205, 8247])).
% 217.98/140.52 tff(8249,plain,
% 217.98/140.52 (~v115(constB75)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8248, 8244])).
% 217.98/140.52 tff(8250,plain,
% 217.98/140.52 (~(v124(constB73, 0) <=> b110(0))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4893, 3186, 4895])).
% 217.98/140.52 tff(8251,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[5118, 8210, 8250])).
% 217.98/140.52 tff(8252,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (~v124(constB73, 0))), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8253,plain,
% 217.98/140.52 (~v124(constB73, 0)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8252, 8210])).
% 217.98/140.52 tff(8254,assumption,(~(v121(constB73, 0) <=> v124(constB73, 0))), introduced(assumption)).
% 217.98/140.52 tff(8255,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4857, 4849, 8254])).
% 217.98/140.52 tff(8256,plain,(v121(constB73, 0) <=> v124(constB73, 0)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8257,plain,
% 217.98/140.52 ((~v121(constB73, 0)) | v124(constB73, 0)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4890, 8256])).
% 217.98/140.52 tff(8258,plain,
% 217.98/140.52 (~v121(constB73, 0)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8257, 8253])).
% 217.98/140.52 tff(8259,assumption,(~(v123(constB74, 0) <=> v121(constB73, 0))), introduced(assumption)).
% 217.98/140.52 tff(8260,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4873, 4865, 8259])).
% 217.98/140.52 tff(8261,plain,(v123(constB74, 0) <=> v121(constB73, 0)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8262,plain,
% 217.98/140.52 ((~v123(constB74, 0)) | v121(constB73, 0)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4887, 8261])).
% 217.98/140.52 tff(8263,plain,
% 217.98/140.52 (~v123(constB74, 0)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8262, 8258])).
% 217.98/140.52 tff(8264,assumption,(~v123(constB74, 0)), introduced(assumption)).
% 217.98/140.52 tff(8265,plain,
% 217.98/140.52 (~(v84(constB74, 0) <=> v123(constB74, 0))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4884, 4817, 8264])).
% 217.98/140.52 tff(8266,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4882, 4814, 8265])).
% 217.98/140.52 tff(8267,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~v84(constB74, 0)) | v123(constB74, 0)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8268,plain,
% 217.98/140.52 (~v84(constB74, 0)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8267, 8263, 4814])).
% 217.98/140.52 tff(8269,plain,
% 217.98/140.52 (~v84(constB75, 0)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[5125, 8268])).
% 217.98/140.52 tff(8270,assumption,(~(v84(constB74, 1) <=> v123(constB74, 1))), introduced(assumption)).
% 217.98/140.52 tff(8271,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[5006, 4814, 8270])).
% 217.98/140.52 tff(8272,plain,((v84(constB74, 1) <=> v123(constB74, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B))))), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8273,plain,
% 217.98/140.52 (v84(constB74, 1) <=> v123(constB74, 1)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8272, 4814])).
% 217.98/140.52 tff(8274,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 1) <=> b110(1)))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8275,plain,
% 217.98/140.52 (($false | $false | (v124(constB73, 1) <=> b110(1))) <=> (v124(constB73, 1) <=> b110(1))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8276,plain,
% 217.98/140.52 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b110(1))) <=> ($false | $false | (v124(constB73, 1) <=> b110(1)))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[402, 401])).
% 217.98/140.52 tff(8277,plain,
% 217.98/140.52 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b110(1))) <=> (v124(constB73, 1) <=> b110(1))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8276, 8275])).
% 217.98/140.52 tff(8278,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 1) <=> b110(1)))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[8277])).
% 217.98/140.52 tff(8279,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 1) <=> b110(1)))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8278, 8274])).
% 217.98/140.52 tff(8280,plain,
% 217.98/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b110(1)))),
% 217.98/140.52 inference(quant_inst,[status(thm)],[])).
% 217.98/140.52 tff(8281,plain,
% 217.98/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (v124(constB73, 1) <=> b110(1))),
% 217.98/140.52 inference(modus_ponens,[status(thm)],[8280, 8279])).
% 217.98/140.52 tff(8282,plain,
% 217.98/140.52 (v124(constB73, 1) <=> b110(1)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8281, 8210])).
% 217.98/140.52 tff(8283,plain,
% 217.98/140.52 ((~(v124(constB73, 1) <=> b110(1))) | v124(constB73, 1) | (~b110(1))),
% 217.98/140.52 inference(tautology,[status(thm)],[])).
% 217.98/140.52 tff(8284,plain,
% 217.98/140.52 ((~(v124(constB73, 1) <=> b110(1))) | v124(constB73, 1)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8283, 1662])).
% 217.98/140.52 tff(8285,plain,
% 217.98/140.52 (v124(constB73, 1)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8284, 8282])).
% 217.98/140.52 tff(8286,plain,
% 217.98/140.52 ((~(v121(constB73, 1) <=> v124(constB73, 1))) | v121(constB73, 1) | (~v124(constB73, 1))),
% 217.98/140.52 inference(tautology,[status(thm)],[])).
% 217.98/140.52 tff(8287,plain,
% 217.98/140.52 ((~(v121(constB73, 1) <=> v124(constB73, 1))) | v121(constB73, 1)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8286, 8285])).
% 217.98/140.52 tff(8288,plain,
% 217.98/140.52 (v121(constB73, 1)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8287, 4989])).
% 217.98/140.52 tff(8289,plain,
% 217.98/140.52 ((~(v123(constB74, 1) <=> v121(constB73, 1))) | v123(constB74, 1) | (~v121(constB73, 1))),
% 217.98/140.52 inference(tautology,[status(thm)],[])).
% 217.98/140.52 tff(8290,plain,
% 217.98/140.52 ((~(v123(constB74, 1) <=> v121(constB73, 1))) | v123(constB74, 1)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8289, 8288])).
% 217.98/140.52 tff(8291,plain,
% 217.98/140.52 (v123(constB74, 1)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8290, 4998])).
% 217.98/140.52 tff(8292,plain,
% 217.98/140.52 ((~(v84(constB74, 1) <=> v123(constB74, 1))) | v84(constB74, 1) | (~v123(constB74, 1))),
% 217.98/140.52 inference(tautology,[status(thm)],[])).
% 217.98/140.52 tff(8293,plain,
% 217.98/140.52 (v84(constB74, 1)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8292, 8291, 8273])).
% 217.98/140.52 tff(8294,assumption,(~(v84(constB75, 1) <=> v84(constB74, 1))), introduced(assumption)).
% 217.98/140.52 tff(8295,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[3914, 3906, 8294])).
% 217.98/140.52 tff(8296,plain,(v84(constB75, 1) <=> v84(constB74, 1)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8297,plain,
% 217.98/140.52 (v84(constB75, 1) | (~v84(constB74, 1))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4104, 8296])).
% 217.98/140.52 tff(8298,plain,
% 217.98/140.52 (v84(constB75, 1)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8297, 8293])).
% 217.98/140.52 tff(8299,plain,
% 217.98/140.52 (v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[6147, 8298])).
% 217.98/140.52 tff(8300,assumption,(~(v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))))), introduced(assumption)).
% 217.98/140.52 tff(8301,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4222, 656, 8300])).
% 217.98/140.52 tff(8302,plain,(v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)))), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8303,plain,
% 217.98/140.52 ((~v117(constB75)) | (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4226, 8302])).
% 217.98/140.52 tff(8304,plain,
% 217.98/140.52 (~v117(constB75)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8303, 8299])).
% 217.98/140.52 tff(8305,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))), introduced(assumption)).
% 217.98/140.52 tff(8306,assumption,(v113(constB75)), introduced(assumption)).
% 217.98/140.52 tff(8307,plain,
% 217.98/140.52 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B))))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8308,plain,
% 217.98/140.52 (((~v113(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B))))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8309,plain,
% 217.98/140.52 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[8308])).
% 217.98/140.52 tff(8310,plain,
% 217.98/140.52 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B))))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8309, 8307])).
% 217.98/140.52 tff(8311,plain,
% 217.98/140.52 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.98/140.52 inference(quant_inst,[status(thm)],[])).
% 217.98/140.52 tff(8312,plain,
% 217.98/140.52 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))),
% 217.98/140.52 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 217.98/140.52 tff(8313,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8312, 2117, 8305, 8306])).
% 217.98/140.52 tff(8314,plain,((~v113(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8315,plain,
% 217.98/140.52 (~v113(constB75)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8314, 8305])).
% 217.98/140.52 tff(8316,plain,
% 217.98/140.52 ((~(v113(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))))) | (v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4656, 8315])).
% 217.98/140.52 tff(8317,plain,
% 217.98/140.52 (v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8316, 4161])).
% 217.98/140.52 tff(8318,assumption,(~v117(constB75)), introduced(assumption)).
% 217.98/140.52 tff(8319,plain,
% 217.98/140.52 ((~(v117(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))))) | (v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4786, 8318])).
% 217.98/140.52 tff(8320,plain,
% 217.98/140.52 (v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8319, 4223])).
% 217.98/140.52 tff(8321,assumption,(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)), introduced(assumption)).
% 217.98/140.52 tff(8322,assumption,(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)), introduced(assumption)).
% 217.98/140.52 tff(8323,plain,
% 217.98/140.52 (v84(constB75, 2)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4658, 4782, 4616, 8322])).
% 217.98/140.52 tff(8324,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4788, 8323, 4782, 4616, 8321])).
% 217.98/140.52 tff(8325,plain,(v84(constB75, 1) | v84(constB75, 0) | (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))) | (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)))), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8326,plain,
% 217.98/140.52 (v84(constB75, 1)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8325, 4616, 8320, 8317])).
% 217.98/140.52 tff(8327,plain,
% 217.98/140.52 (v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4107, 8326])).
% 217.98/140.52 tff(8328,plain,
% 217.98/140.52 ((~(v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))) | (~v118(constB75))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4109, 8327])).
% 217.98/140.52 tff(8329,plain,
% 217.98/140.52 (~v118(constB75)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8328, 3872])).
% 217.98/140.52 tff(8330,assumption,(~v115(constB75)), introduced(assumption)).
% 217.98/140.52 tff(8331,plain,
% 217.98/140.52 ((v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))) | v84(constB75, 0)),
% 217.98/140.52 inference(tautology,[status(thm)],[])).
% 217.98/140.52 tff(8332,plain,
% 217.98/140.52 (v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8331, 4616])).
% 217.98/140.52 tff(8333,plain,
% 217.98/140.52 ((~(v114(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))))) | (~v114(constB75))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4158, 8332])).
% 217.98/140.52 tff(8334,plain,
% 217.98/140.52 (~v114(constB75)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8333, 4155])).
% 217.98/140.52 tff(8335,plain,
% 217.98/140.52 ((~(v115(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))))) | ((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4645, 8330])).
% 217.98/140.52 tff(8336,plain,
% 217.98/140.52 ((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8335, 4202])).
% 217.98/140.52 tff(8337,plain,
% 217.98/140.52 (v84(constB75, 2)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4661, 8326, 4616, 8336])).
% 217.98/140.52 tff(8338,plain,
% 217.98/140.52 ((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4146, 8337])).
% 217.98/140.52 tff(8339,plain,
% 217.98/140.52 ((~(v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))))) | (~v116(constB75))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[4148, 8338])).
% 217.98/140.52 tff(8340,plain,
% 217.98/140.52 (~v116(constB75)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8339, 4121])).
% 217.98/140.52 tff(8341,plain,
% 217.98/140.52 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB75) | v114(constB75) | v115(constB75) | v117(constB75) | v116(constB75) | v118(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB75) | v114(constB75) | v115(constB75) | v117(constB75) | v116(constB75) | v118(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B))))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8342,plain,
% 217.98/140.52 ((v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) <=> (v113(constB75) | v114(constB75) | v115(constB75) | v117(constB75) | v116(constB75) | v118(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B))))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8343,plain,
% 217.98/140.52 (^[B: $int] : rewrite(((v124(constB75, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B))))),
% 217.98/140.52 inference(bind,[status(th)],[])).
% 217.98/140.52 tff(8344,plain,
% 217.98/140.52 (![B: $int] : ((v124(constB75, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))),
% 217.98/140.52 inference(quant_intro,[status(thm)],[8343])).
% 217.98/140.52 tff(8345,plain,
% 217.98/140.52 ((v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | ![B: $int] : ((v124(constB75, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B))))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[8344])).
% 217.98/140.52 tff(8346,plain,
% 217.98/140.52 ((v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | ![B: $int] : ((v124(constB75, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v113(constB75) | v114(constB75) | v115(constB75) | v117(constB75) | v116(constB75) | v118(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B))))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8345, 8342])).
% 217.98/140.52 tff(8347,plain,
% 217.98/140.52 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | ![B: $int] : ((v124(constB75, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB75) | v114(constB75) | v115(constB75) | v117(constB75) | v116(constB75) | v118(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[8346])).
% 217.98/140.52 tff(8348,plain,
% 217.98/140.52 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | ![B: $int] : ((v124(constB75, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB75) | v114(constB75) | v115(constB75) | v117(constB75) | v116(constB75) | v118(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B))))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8347, 8341])).
% 217.98/140.52 tff(8349,plain,
% 217.98/140.52 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | ![B: $int] : ((v124(constB75, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.98/140.52 inference(quant_inst,[status(thm)],[])).
% 217.98/140.52 tff(8350,plain,
% 217.98/140.52 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB75) | v114(constB75) | v115(constB75) | v117(constB75) | v116(constB75) | v118(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))),
% 217.98/140.52 inference(modus_ponens,[status(thm)],[8349, 8348])).
% 217.98/140.52 tff(8351,plain,
% 217.98/140.52 (v114(constB75) | v115(constB75) | v117(constB75) | v116(constB75) | v118(constB75)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8350, 1807, 8305, 8315])).
% 217.98/140.52 tff(8352,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8351, 8340, 8334, 8318, 8330, 8329])).
% 217.98/140.52 tff(8353,plain,(v84(constB75, 0) | v117(constB75) | v115(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8354,plain,
% 217.98/140.52 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8353, 8304, 8269, 8249])).
% 217.98/140.52 tff(8355,assumption,(v124(constB75, 2)), introduced(assumption)).
% 217.98/140.52 tff(8356,plain,
% 217.98/140.52 ((~(v124(constB75, 2) <=> b001(2))) | (~v124(constB75, 2)) | b001(2)),
% 217.98/140.52 inference(tautology,[status(thm)],[])).
% 217.98/140.52 tff(8357,plain,
% 217.98/140.52 (~(v124(constB75, 2) <=> b001(2))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8356, 1831, 8355])).
% 217.98/140.52 tff(8358,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))), introduced(assumption)).
% 217.98/140.52 tff(8359,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 2) <=> b001(2)))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8360,plain,
% 217.98/140.52 (($false | $false | (v124(constB75, 2) <=> b001(2))) <=> (v124(constB75, 2) <=> b001(2))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8361,plain,
% 217.98/140.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b001(2))) <=> ($false | $false | (v124(constB75, 2) <=> b001(2)))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[534, 533])).
% 217.98/140.52 tff(8362,plain,
% 217.98/140.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b001(2))) <=> (v124(constB75, 2) <=> b001(2))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8361, 8360])).
% 217.98/140.52 tff(8363,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 2) <=> b001(2)))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[8362])).
% 217.98/140.52 tff(8364,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 2) <=> b001(2)))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8363, 8359])).
% 217.98/140.52 tff(8365,plain,
% 217.98/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b001(2)))),
% 217.98/140.52 inference(quant_inst,[status(thm)],[])).
% 217.98/140.52 tff(8366,plain,
% 217.98/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 2) <=> b001(2))),
% 217.98/140.52 inference(modus_ponens,[status(thm)],[8365, 8364])).
% 217.98/140.52 tff(8367,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8366, 8358, 8357])).
% 217.98/140.52 tff(8368,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (~v124(constB75, 2))), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8369,plain,
% 217.98/140.52 (~v124(constB75, 2)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8368, 8354])).
% 217.98/140.52 tff(8370,assumption,(~(v121(constB75, 2) <=> v124(constB75, 2))), introduced(assumption)).
% 217.98/140.52 tff(8371,plain,
% 217.98/140.52 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B))))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8372,plain,
% 217.98/140.52 ((v105(constB75) | ![B: $int] : ((v121(constB75, B) <=> v124(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B))))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8373,plain,
% 217.98/140.52 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB75) | ![B: $int] : ((v121(constB75, B) <=> v124(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[8372])).
% 217.98/140.52 tff(8374,plain,
% 217.98/140.52 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB75) | ![B: $int] : ((v121(constB75, B) <=> v124(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B))))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8373, 8371])).
% 217.98/140.52 tff(8375,plain,
% 217.98/140.52 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB75) | ![B: $int] : ((v121(constB75, B) <=> v124(constB75, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.98/140.52 inference(quant_inst,[status(thm)],[])).
% 217.98/140.52 tff(8376,plain,
% 217.98/140.52 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB75) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))),
% 217.98/140.52 inference(modus_ponens,[status(thm)],[8375, 8374])).
% 217.98/140.52 tff(8377,plain,
% 217.98/140.52 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8376, 1562, 4268])).
% 217.98/140.52 tff(8378,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 2) <=> v124(constB75, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 2) <=> v124(constB75, 2)))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8379,plain,
% 217.98/140.52 (($false | $false | (v121(constB75, 2) <=> v124(constB75, 2))) <=> (v121(constB75, 2) <=> v124(constB75, 2))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8380,plain,
% 217.98/140.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB75, 2) <=> v124(constB75, 2))) <=> ($false | $false | (v121(constB75, 2) <=> v124(constB75, 2)))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[534, 533])).
% 217.98/140.52 tff(8381,plain,
% 217.98/140.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB75, 2) <=> v124(constB75, 2))) <=> (v121(constB75, 2) <=> v124(constB75, 2))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8380, 8379])).
% 217.98/140.52 tff(8382,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB75, 2) <=> v124(constB75, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 2) <=> v124(constB75, 2)))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[8381])).
% 217.98/140.52 tff(8383,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB75, 2) <=> v124(constB75, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 2) <=> v124(constB75, 2)))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8382, 8378])).
% 217.98/140.52 tff(8384,plain,
% 217.98/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB75, 2) <=> v124(constB75, 2)))),
% 217.98/140.52 inference(quant_inst,[status(thm)],[])).
% 217.98/140.52 tff(8385,plain,
% 217.98/140.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 2) <=> v124(constB75, 2))),
% 217.98/140.52 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 217.98/140.52 tff(8386,plain,
% 217.98/140.52 ($false),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8385, 8377, 8370])).
% 217.98/140.52 tff(8387,plain,(v121(constB75, 2) <=> v124(constB75, 2)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.52 tff(8388,plain,
% 217.98/140.52 ((~(v121(constB75, 2) <=> v124(constB75, 2))) | (~v121(constB75, 2)) | v124(constB75, 2)),
% 217.98/140.52 inference(tautology,[status(thm)],[])).
% 217.98/140.52 tff(8389,plain,
% 217.98/140.52 ((~v121(constB75, 2)) | v124(constB75, 2)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8388, 8387])).
% 217.98/140.52 tff(8390,plain,
% 217.98/140.52 (~v121(constB75, 2)),
% 217.98/140.52 inference(unit_resolution,[status(thm)],[8389, 8369])).
% 217.98/140.52 tff(8391,assumption,(~(v123(constB76, 2) <=> v121(constB75, 2))), introduced(assumption)).
% 217.98/140.52 tff(8392,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 2) <=> v121(constB75, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 2) <=> v121(constB75, 2)))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8393,plain,
% 217.98/140.52 (($false | $false | (v123(constB76, 2) <=> v121(constB75, 2))) <=> (v123(constB76, 2) <=> v121(constB75, 2))),
% 217.98/140.52 inference(rewrite,[status(thm)],[])).
% 217.98/140.52 tff(8394,plain,
% 217.98/140.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB76, 2) <=> v121(constB75, 2))) <=> ($false | $false | (v123(constB76, 2) <=> v121(constB75, 2)))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[534, 533])).
% 217.98/140.52 tff(8395,plain,
% 217.98/140.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB76, 2) <=> v121(constB75, 2))) <=> (v123(constB76, 2) <=> v121(constB75, 2))),
% 217.98/140.52 inference(transitivity,[status(thm)],[8394, 8393])).
% 217.98/140.52 tff(8396,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB76, 2) <=> v121(constB75, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 2) <=> v121(constB75, 2)))),
% 217.98/140.52 inference(monotonicity,[status(thm)],[8395])).
% 217.98/140.52 tff(8397,plain,
% 217.98/140.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB76, 2) <=> v121(constB75, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 2) <=> v121(constB75, 2)))),
% 217.98/140.53 inference(transitivity,[status(thm)],[8396, 8392])).
% 217.98/140.53 tff(8398,plain,
% 217.98/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB76, 2) <=> v121(constB75, 2)))),
% 217.98/140.53 inference(quant_inst,[status(thm)],[])).
% 217.98/140.53 tff(8399,plain,
% 217.98/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 2) <=> v121(constB75, 2))),
% 217.98/140.53 inference(modus_ponens,[status(thm)],[8398, 8397])).
% 217.98/140.53 tff(8400,plain,
% 217.98/140.53 ($false),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8399, 8158, 8391])).
% 217.98/140.53 tff(8401,plain,(v123(constB76, 2) <=> v121(constB75, 2)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.53 tff(8402,plain,
% 217.98/140.53 ((~(v123(constB76, 2) <=> v121(constB75, 2))) | (~v123(constB76, 2)) | v121(constB75, 2)),
% 217.98/140.53 inference(tautology,[status(thm)],[])).
% 217.98/140.53 tff(8403,plain,
% 217.98/140.53 ((~v123(constB76, 2)) | v121(constB75, 2)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8402, 8401])).
% 217.98/140.53 tff(8404,plain,
% 217.98/140.53 (~v123(constB76, 2)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8403, 8390])).
% 217.98/140.53 tff(8405,plain,
% 217.98/140.53 ((~(v84(constB76, 2) <=> v123(constB76, 2))) | (~v84(constB76, 2)) | v123(constB76, 2)),
% 217.98/140.53 inference(tautology,[status(thm)],[])).
% 217.98/140.53 tff(8406,plain,
% 217.98/140.53 (~v84(constB76, 2)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8405, 8404, 8205])).
% 217.98/140.53 tff(8407,assumption,(~(v84(constB77, 2) <=> v84(constB76, 2))), introduced(assumption)).
% 217.98/140.53 tff(8408,plain,
% 217.98/140.53 ($false),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[1361, 1353, 8407])).
% 217.98/140.53 tff(8409,plain,(v84(constB77, 2) <=> v84(constB76, 2)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.53 tff(8410,plain,
% 217.98/140.53 ((~v84(constB77, 2)) | v84(constB76, 2)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[1438, 8409])).
% 217.98/140.53 tff(8411,plain,
% 217.98/140.53 (~v84(constB77, 2)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8410, 8406])).
% 217.98/140.53 tff(8412,plain,
% 217.98/140.53 ((v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))) | v84(constB77, 2)),
% 217.98/140.53 inference(tautology,[status(thm)],[])).
% 217.98/140.53 tff(8413,plain,
% 217.98/140.53 (v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8412, 8411])).
% 217.98/140.53 tff(8414,plain,
% 217.98/140.53 ((~(v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))))) | (~v118(constB77))),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[2161, 8413])).
% 217.98/140.53 tff(8415,plain,
% 217.98/140.53 (~v118(constB77)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8414, 2158])).
% 217.98/140.53 tff(8416,assumption,(~(v121(constB75, 0) <=> v124(constB75, 0))), introduced(assumption)).
% 217.98/140.53 tff(8417,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 0) <=> v124(constB75, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 0) <=> v124(constB75, 0)))),
% 217.98/140.53 inference(rewrite,[status(thm)],[])).
% 217.98/140.53 tff(8418,plain,
% 217.98/140.53 (($false | $false | (v121(constB75, 0) <=> v124(constB75, 0))) <=> (v121(constB75, 0) <=> v124(constB75, 0))),
% 217.98/140.53 inference(rewrite,[status(thm)],[])).
% 217.98/140.53 tff(8419,plain,
% 217.98/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB75, 0) <=> v124(constB75, 0))) <=> ($false | $false | (v121(constB75, 0) <=> v124(constB75, 0)))),
% 217.98/140.53 inference(monotonicity,[status(thm)],[250, 249])).
% 217.98/140.53 tff(8420,plain,
% 217.98/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB75, 0) <=> v124(constB75, 0))) <=> (v121(constB75, 0) <=> v124(constB75, 0))),
% 217.98/140.53 inference(transitivity,[status(thm)],[8419, 8418])).
% 217.98/140.53 tff(8421,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB75, 0) <=> v124(constB75, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 0) <=> v124(constB75, 0)))),
% 217.98/140.53 inference(monotonicity,[status(thm)],[8420])).
% 217.98/140.53 tff(8422,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB75, 0) <=> v124(constB75, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 0) <=> v124(constB75, 0)))),
% 217.98/140.53 inference(transitivity,[status(thm)],[8421, 8417])).
% 217.98/140.53 tff(8423,plain,
% 217.98/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB75, 0) <=> v124(constB75, 0)))),
% 217.98/140.53 inference(quant_inst,[status(thm)],[])).
% 217.98/140.53 tff(8424,plain,
% 217.98/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 0) <=> v124(constB75, 0))),
% 217.98/140.53 inference(modus_ponens,[status(thm)],[8423, 8422])).
% 217.98/140.53 tff(8425,plain,
% 217.98/140.53 ($false),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8424, 8377, 8416])).
% 217.98/140.53 tff(8426,plain,(v121(constB75, 0) <=> v124(constB75, 0)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.53 tff(8427,assumption,(~(v123(constB76, 0) <=> v121(constB75, 0))), introduced(assumption)).
% 217.98/140.53 tff(8428,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 0) <=> v121(constB75, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 0) <=> v121(constB75, 0)))),
% 217.98/140.53 inference(rewrite,[status(thm)],[])).
% 217.98/140.53 tff(8429,plain,
% 217.98/140.53 (($false | $false | (v123(constB76, 0) <=> v121(constB75, 0))) <=> (v123(constB76, 0) <=> v121(constB75, 0))),
% 217.98/140.53 inference(rewrite,[status(thm)],[])).
% 217.98/140.53 tff(8430,plain,
% 217.98/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB76, 0) <=> v121(constB75, 0))) <=> ($false | $false | (v123(constB76, 0) <=> v121(constB75, 0)))),
% 217.98/140.53 inference(monotonicity,[status(thm)],[250, 249])).
% 217.98/140.53 tff(8431,plain,
% 217.98/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB76, 0) <=> v121(constB75, 0))) <=> (v123(constB76, 0) <=> v121(constB75, 0))),
% 217.98/140.53 inference(transitivity,[status(thm)],[8430, 8429])).
% 217.98/140.53 tff(8432,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB76, 0) <=> v121(constB75, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 0) <=> v121(constB75, 0)))),
% 217.98/140.53 inference(monotonicity,[status(thm)],[8431])).
% 217.98/140.53 tff(8433,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB76, 0) <=> v121(constB75, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 0) <=> v121(constB75, 0)))),
% 217.98/140.53 inference(transitivity,[status(thm)],[8432, 8428])).
% 217.98/140.53 tff(8434,plain,
% 217.98/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB76, 0) <=> v121(constB75, 0)))),
% 217.98/140.53 inference(quant_inst,[status(thm)],[])).
% 217.98/140.53 tff(8435,plain,
% 217.98/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB76, B) <=> v121(constB75, B)))) | (v123(constB76, 0) <=> v121(constB75, 0))),
% 217.98/140.53 inference(modus_ponens,[status(thm)],[8434, 8433])).
% 217.98/140.53 tff(8436,plain,
% 217.98/140.53 ($false),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8435, 8158, 8427])).
% 217.98/140.53 tff(8437,plain,(v123(constB76, 0) <=> v121(constB75, 0)), inference(lemma,lemma(discharge,[]))).
% 217.98/140.53 tff(8438,plain,
% 217.98/140.53 (v107(constB75)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[4812, 4616])).
% 217.98/140.53 tff(8439,plain,
% 217.98/140.53 (~((~v107(constB75)) | (~v120(constB75)))),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[4757, 8438])).
% 217.98/140.53 tff(8440,plain,
% 217.98/140.53 (v106(constB75)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[4749, 8439])).
% 217.98/140.53 tff(8441,plain,
% 217.98/140.53 (v105(constB75) | v106(constB75)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[4746, 8440])).
% 217.98/140.53 tff(8442,plain,
% 217.98/140.53 (v102(constB75)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[4744, 8441])).
% 217.98/140.53 tff(8443,plain,
% 217.98/140.53 (v104(constB76)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[4741, 8442])).
% 217.98/140.53 tff(8444,plain,
% 217.98/140.53 (~((~v95(constB76)) | (~v104(constB76)))),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[4738, 8443])).
% 217.98/140.53 tff(8445,plain,
% 217.98/140.53 (v94(constB76)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[4707, 8444])).
% 217.98/140.53 tff(8446,plain,
% 217.98/140.53 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8182, 8445])).
% 217.98/140.53 tff(8447,assumption,(~(v84(constB76, 0) <=> v123(constB76, 0))), introduced(assumption)).
% 217.98/140.53 tff(8448,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 0) <=> v123(constB76, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 0) <=> v123(constB76, 0)))),
% 217.98/140.53 inference(rewrite,[status(thm)],[])).
% 217.98/140.53 tff(8449,plain,
% 217.98/140.53 (($false | $false | (v84(constB76, 0) <=> v123(constB76, 0))) <=> (v84(constB76, 0) <=> v123(constB76, 0))),
% 217.98/140.53 inference(rewrite,[status(thm)],[])).
% 217.98/140.53 tff(8450,plain,
% 217.98/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB76, 0) <=> v123(constB76, 0))) <=> ($false | $false | (v84(constB76, 0) <=> v123(constB76, 0)))),
% 217.98/140.53 inference(monotonicity,[status(thm)],[250, 249])).
% 217.98/140.53 tff(8451,plain,
% 217.98/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB76, 0) <=> v123(constB76, 0))) <=> (v84(constB76, 0) <=> v123(constB76, 0))),
% 217.98/140.53 inference(transitivity,[status(thm)],[8450, 8449])).
% 217.98/140.53 tff(8452,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB76, 0) <=> v123(constB76, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 0) <=> v123(constB76, 0)))),
% 217.98/140.53 inference(monotonicity,[status(thm)],[8451])).
% 217.98/140.53 tff(8453,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB76, 0) <=> v123(constB76, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 0) <=> v123(constB76, 0)))),
% 217.98/140.53 inference(transitivity,[status(thm)],[8452, 8448])).
% 217.98/140.53 tff(8454,plain,
% 217.98/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB76, 0) <=> v123(constB76, 0)))),
% 217.98/140.53 inference(quant_inst,[status(thm)],[])).
% 217.98/140.53 tff(8455,plain,
% 217.98/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (v84(constB76, 0) <=> v123(constB76, 0))),
% 217.98/140.53 inference(modus_ponens,[status(thm)],[8454, 8453])).
% 217.98/140.53 tff(8456,plain,
% 217.98/140.53 ($false),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8455, 8194, 8447])).
% 217.98/140.53 tff(8457,plain,((v84(constB76, 0) <=> v123(constB76, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B))))), inference(lemma,lemma(discharge,[]))).
% 217.98/140.53 tff(8458,plain,
% 217.98/140.53 (v84(constB76, 0) <=> v123(constB76, 0)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8457, 8446])).
% 217.98/140.53 tff(8459,plain,
% 217.98/140.53 ((~(v84(constB76, 0) <=> v123(constB76, 0))) | v84(constB76, 0) | (~v123(constB76, 0))),
% 217.98/140.53 inference(tautology,[status(thm)],[])).
% 217.98/140.53 tff(8460,plain,
% 217.98/140.53 (~v123(constB76, 0)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8459, 8458, 4701])).
% 217.98/140.53 tff(8461,plain,
% 217.98/140.53 ((~(v123(constB76, 0) <=> v121(constB75, 0))) | v123(constB76, 0) | (~v121(constB75, 0))),
% 217.98/140.53 inference(tautology,[status(thm)],[])).
% 217.98/140.53 tff(8462,plain,
% 217.98/140.53 (~v121(constB75, 0)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8461, 8460, 8437])).
% 217.98/140.53 tff(8463,plain,
% 217.98/140.53 ((~(v121(constB75, 0) <=> v124(constB75, 0))) | v121(constB75, 0) | (~v124(constB75, 0))),
% 217.98/140.53 inference(tautology,[status(thm)],[])).
% 217.98/140.53 tff(8464,plain,
% 217.98/140.53 (~v124(constB75, 0)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8463, 8462, 8426])).
% 217.98/140.53 tff(8465,plain,
% 217.98/140.53 ((~(v124(constB75, 0) <=> b001(0))) | v124(constB75, 0) | (~b001(0))),
% 217.98/140.53 inference(tautology,[status(thm)],[])).
% 217.98/140.53 tff(8466,plain,
% 217.98/140.53 (~(v124(constB75, 0) <=> b001(0))),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8465, 1940, 8464])).
% 217.98/140.53 tff(8467,assumption,(~v118(constB77)), introduced(assumption)).
% 217.98/140.53 tff(8468,plain,
% 217.98/140.53 ((~(v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))))) | v118(constB77) | (v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))),
% 217.98/140.53 inference(tautology,[status(thm)],[])).
% 217.98/140.53 tff(8469,plain,
% 217.98/140.53 ((~(v118(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))))) | (v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8468, 8467])).
% 217.98/140.53 tff(8470,plain,
% 217.98/140.53 (v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8469, 2158])).
% 217.98/140.53 tff(8471,plain,
% 217.98/140.53 (v84(constB76, 0) <=> v123(constB76, 0)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8457, 8194])).
% 217.98/140.53 tff(8472,plain,
% 217.98/140.53 (v123(constB76, 0) <=> v121(constB75, 0)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8435, 8158])).
% 217.98/140.53 tff(8473,plain,
% 217.98/140.53 (v121(constB75, 0) <=> v124(constB75, 0)),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8424, 8377])).
% 217.98/140.53 tff(8474,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))), introduced(assumption)).
% 217.98/140.53 tff(8475,assumption,(~v124(constB75, 0)), introduced(assumption)).
% 217.98/140.53 tff(8476,plain,
% 217.98/140.53 ((~(v124(constB75, 0) <=> b101(0))) | v124(constB75, 0) | (~b101(0))),
% 217.98/140.53 inference(tautology,[status(thm)],[])).
% 217.98/140.53 tff(8477,plain,
% 217.98/140.53 (~(v124(constB75, 0) <=> b101(0))),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8476, 2042, 8475])).
% 217.98/140.53 tff(8478,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 0) <=> b101(0)))),
% 217.98/140.53 inference(rewrite,[status(thm)],[])).
% 217.98/140.53 tff(8479,plain,
% 217.98/140.53 (($false | $false | (v124(constB75, 0) <=> b101(0))) <=> (v124(constB75, 0) <=> b101(0))),
% 217.98/140.53 inference(rewrite,[status(thm)],[])).
% 217.98/140.53 tff(8480,plain,
% 217.98/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b101(0))) <=> ($false | $false | (v124(constB75, 0) <=> b101(0)))),
% 217.98/140.53 inference(monotonicity,[status(thm)],[250, 249])).
% 217.98/140.53 tff(8481,plain,
% 217.98/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b101(0))) <=> (v124(constB75, 0) <=> b101(0))),
% 217.98/140.53 inference(transitivity,[status(thm)],[8480, 8479])).
% 217.98/140.53 tff(8482,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 0) <=> b101(0)))),
% 217.98/140.53 inference(monotonicity,[status(thm)],[8481])).
% 217.98/140.53 tff(8483,plain,
% 217.98/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 0) <=> b101(0)))),
% 217.98/140.53 inference(transitivity,[status(thm)],[8482, 8478])).
% 217.98/140.53 tff(8484,plain,
% 217.98/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b101(0)))),
% 217.98/140.53 inference(quant_inst,[status(thm)],[])).
% 217.98/140.53 tff(8485,plain,
% 217.98/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 0) <=> b101(0))),
% 217.98/140.53 inference(modus_ponens,[status(thm)],[8484, 8483])).
% 217.98/140.53 tff(8486,plain,
% 217.98/140.53 ($false),
% 217.98/140.53 inference(unit_resolution,[status(thm)],[8485, 8474, 8477])).
% 217.98/140.53 tff(8487,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | v124(constB75, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8488,plain,
% 217.99/140.53 (v124(constB75, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8487, 8474])).
% 217.99/140.53 tff(8489,plain,
% 217.99/140.53 ((~(v121(constB75, 0) <=> v124(constB75, 0))) | v121(constB75, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8463, 8488])).
% 217.99/140.53 tff(8490,plain,
% 217.99/140.53 (v121(constB75, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8489, 8473])).
% 217.99/140.53 tff(8491,plain,
% 217.99/140.53 ((~(v123(constB76, 0) <=> v121(constB75, 0))) | v123(constB76, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8461, 8490])).
% 217.99/140.53 tff(8492,plain,
% 217.99/140.53 (v123(constB76, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8491, 8472])).
% 217.99/140.53 tff(8493,plain,
% 217.99/140.53 (v84(constB76, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8459, 8492, 8471])).
% 217.99/140.53 tff(8494,assumption,(~(v84(constB77, 0) <=> v84(constB76, 0))), introduced(assumption)).
% 217.99/140.53 tff(8495,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[4330, 1353, 8494])).
% 217.99/140.53 tff(8496,plain,(v84(constB77, 0) <=> v84(constB76, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8497,plain,
% 217.99/140.53 (v84(constB77, 0) | (~v84(constB76, 0))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[4344, 8496])).
% 217.99/140.53 tff(8498,plain,
% 217.99/140.53 (v84(constB77, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8497, 8493])).
% 217.99/140.53 tff(8499,plain,
% 217.99/140.53 (v84(constB76, 2) <=> v123(constB76, 2)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8204, 8194])).
% 217.99/140.53 tff(8500,assumption,(~v124(constB75, 2)), introduced(assumption)).
% 217.99/140.53 tff(8501,plain,
% 217.99/140.53 ((~(v124(constB75, 2) <=> b101(2))) | v124(constB75, 2) | (~b101(2))),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8502,plain,
% 217.99/140.53 (~(v124(constB75, 2) <=> b101(2))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8501, 2354, 8500])).
% 217.99/140.53 tff(8503,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 2) <=> b101(2)))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8504,plain,
% 217.99/140.53 (($false | $false | (v124(constB75, 2) <=> b101(2))) <=> (v124(constB75, 2) <=> b101(2))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8505,plain,
% 217.99/140.53 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b101(2))) <=> ($false | $false | (v124(constB75, 2) <=> b101(2)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.53 tff(8506,plain,
% 217.99/140.53 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b101(2))) <=> (v124(constB75, 2) <=> b101(2))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8505, 8504])).
% 217.99/140.53 tff(8507,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 2) <=> b101(2)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[8506])).
% 217.99/140.53 tff(8508,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 2) <=> b101(2)))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8507, 8503])).
% 217.99/140.53 tff(8509,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b101(2)))),
% 217.99/140.53 inference(quant_inst,[status(thm)],[])).
% 217.99/140.53 tff(8510,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 2) <=> b101(2))),
% 217.99/140.53 inference(modus_ponens,[status(thm)],[8509, 8508])).
% 217.99/140.53 tff(8511,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8510, 8474, 8502])).
% 217.99/140.53 tff(8512,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | v124(constB75, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8513,plain,
% 217.99/140.53 (v124(constB75, 2)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8512, 8474])).
% 217.99/140.53 tff(8514,plain,
% 217.99/140.53 ((~(v121(constB75, 2) <=> v124(constB75, 2))) | v121(constB75, 2) | (~v124(constB75, 2))),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8515,plain,
% 217.99/140.53 (v121(constB75, 2) | (~v124(constB75, 2))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8514, 8387])).
% 217.99/140.53 tff(8516,plain,
% 217.99/140.53 (v121(constB75, 2)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8515, 8513])).
% 217.99/140.53 tff(8517,plain,
% 217.99/140.53 ((~(v123(constB76, 2) <=> v121(constB75, 2))) | v123(constB76, 2) | (~v121(constB75, 2))),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8518,plain,
% 217.99/140.53 (v123(constB76, 2) | (~v121(constB75, 2))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8517, 8401])).
% 217.99/140.53 tff(8519,plain,
% 217.99/140.53 (v123(constB76, 2)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8518, 8516])).
% 217.99/140.53 tff(8520,plain,
% 217.99/140.53 ((~(v84(constB76, 2) <=> v123(constB76, 2))) | v84(constB76, 2) | (~v123(constB76, 2))),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8521,plain,
% 217.99/140.53 (v84(constB76, 2)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8520, 8519, 8499])).
% 217.99/140.53 tff(8522,plain,
% 217.99/140.53 ((~(v84(constB77, 2) <=> v84(constB76, 2))) | v84(constB77, 2)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[1452, 8521])).
% 217.99/140.53 tff(8523,plain,
% 217.99/140.53 (v84(constB77, 2)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8522, 1362])).
% 217.99/140.53 tff(8524,plain,
% 217.99/140.53 (v84(constB76, 1) <=> v123(constB76, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8191, 8194])).
% 217.99/140.53 tff(8525,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 1) <=> b101(1)))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8526,plain,
% 217.99/140.53 (($false | $false | (v124(constB75, 1) <=> b101(1))) <=> (v124(constB75, 1) <=> b101(1))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8527,plain,
% 217.99/140.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b101(1))) <=> ($false | $false | (v124(constB75, 1) <=> b101(1)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.53 tff(8528,plain,
% 217.99/140.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b101(1))) <=> (v124(constB75, 1) <=> b101(1))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8527, 8526])).
% 217.99/140.53 tff(8529,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 1) <=> b101(1)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[8528])).
% 217.99/140.53 tff(8530,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 1) <=> b101(1)))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8529, 8525])).
% 217.99/140.53 tff(8531,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b101(1)))),
% 217.99/140.53 inference(quant_inst,[status(thm)],[])).
% 217.99/140.53 tff(8532,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | (v124(constB75, 1) <=> b101(1))),
% 217.99/140.53 inference(modus_ponens,[status(thm)],[8531, 8530])).
% 217.99/140.53 tff(8533,plain,
% 217.99/140.53 (v124(constB75, 1) <=> b101(1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8532, 8474])).
% 217.99/140.53 tff(8534,plain,
% 217.99/140.53 ((~(v124(constB75, 1) <=> b101(1))) | (~v124(constB75, 1)) | b101(1)),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8535,plain,
% 217.99/140.53 ((~(v124(constB75, 1) <=> b101(1))) | (~v124(constB75, 1))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8534, 2330])).
% 217.99/140.53 tff(8536,plain,
% 217.99/140.53 (~v124(constB75, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8535, 8533])).
% 217.99/140.53 tff(8537,assumption,(~(v121(constB75, 1) <=> v124(constB75, 1))), introduced(assumption)).
% 217.99/140.53 tff(8538,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 1) <=> v124(constB75, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 1) <=> v124(constB75, 1)))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8539,plain,
% 217.99/140.53 (($false | $false | (v121(constB75, 1) <=> v124(constB75, 1))) <=> (v121(constB75, 1) <=> v124(constB75, 1))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8540,plain,
% 217.99/140.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB75, 1) <=> v124(constB75, 1))) <=> ($false | $false | (v121(constB75, 1) <=> v124(constB75, 1)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.53 tff(8541,plain,
% 217.99/140.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB75, 1) <=> v124(constB75, 1))) <=> (v121(constB75, 1) <=> v124(constB75, 1))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8540, 8539])).
% 217.99/140.53 tff(8542,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB75, 1) <=> v124(constB75, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 1) <=> v124(constB75, 1)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[8541])).
% 217.99/140.53 tff(8543,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB75, 1) <=> v124(constB75, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 1) <=> v124(constB75, 1)))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8542, 8538])).
% 217.99/140.53 tff(8544,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB75, 1) <=> v124(constB75, 1)))),
% 217.99/140.53 inference(quant_inst,[status(thm)],[])).
% 217.99/140.53 tff(8545,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB75, B) <=> v124(constB75, B)))) | (v121(constB75, 1) <=> v124(constB75, 1))),
% 217.99/140.53 inference(modus_ponens,[status(thm)],[8544, 8543])).
% 217.99/140.53 tff(8546,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8545, 8377, 8537])).
% 217.99/140.53 tff(8547,plain,(v121(constB75, 1) <=> v124(constB75, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8548,plain,
% 217.99/140.53 ((~(v121(constB75, 1) <=> v124(constB75, 1))) | (~v121(constB75, 1)) | v124(constB75, 1)),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8549,plain,
% 217.99/140.53 ((~v121(constB75, 1)) | v124(constB75, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8548, 8547])).
% 217.99/140.53 tff(8550,plain,
% 217.99/140.53 (~v121(constB75, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8549, 8536])).
% 217.99/140.53 tff(8551,plain,
% 217.99/140.53 ((~(v123(constB76, 1) <=> v121(constB75, 1))) | (~v123(constB76, 1)) | v121(constB75, 1)),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8552,plain,
% 217.99/140.53 ((~(v123(constB76, 1) <=> v121(constB75, 1))) | (~v123(constB76, 1))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8551, 8550])).
% 217.99/140.53 tff(8553,plain,
% 217.99/140.53 (~v123(constB76, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8552, 8167])).
% 217.99/140.53 tff(8554,plain,
% 217.99/140.53 ((~(v84(constB76, 1) <=> v123(constB76, 1))) | (~v84(constB76, 1)) | v123(constB76, 1)),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8555,plain,
% 217.99/140.53 ((~(v84(constB76, 1) <=> v123(constB76, 1))) | (~v84(constB76, 1))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8554, 8553])).
% 217.99/140.53 tff(8556,plain,
% 217.99/140.53 (~v84(constB76, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8555, 8524])).
% 217.99/140.53 tff(8557,plain,
% 217.99/140.53 ((~(v84(constB77, 1) <=> v84(constB76, 1))) | (~v84(constB77, 1)) | v84(constB76, 1)),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8558,plain,
% 217.99/140.53 ((~(v84(constB77, 1) <=> v84(constB76, 1))) | (~v84(constB77, 1))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8557, 8556])).
% 217.99/140.53 tff(8559,plain,
% 217.99/140.53 (~v84(constB77, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8558, 3861])).
% 217.99/140.53 tff(8560,plain,
% 217.99/140.53 ((~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0)))) | v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8561,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8560, 8559, 8523, 8498, 8470])).
% 217.99/140.53 tff(8562,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))) | v118(constB77) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8563,plain,
% 217.99/140.53 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8562, 8446, 8467])).
% 217.99/140.53 tff(8564,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))), introduced(assumption)).
% 217.99/140.53 tff(8565,assumption,(v117(constB75)), introduced(assumption)).
% 217.99/140.53 tff(8566,plain,
% 217.99/140.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B))))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8567,plain,
% 217.99/140.53 (((~v117(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B))))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8568,plain,
% 217.99/140.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[8567])).
% 217.99/140.53 tff(8569,plain,
% 217.99/140.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B))))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8568, 8566])).
% 217.99/140.53 tff(8570,plain,
% 217.99/140.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.53 inference(quant_inst,[status(thm)],[])).
% 217.99/140.53 tff(8571,plain,
% 217.99/140.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))),
% 217.99/140.53 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 217.99/140.53 tff(8572,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8571, 2090, 8565, 8564])).
% 217.99/140.53 tff(8573,plain,((~v117(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8574,plain,
% 217.99/140.53 (~v117(constB75)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8573, 8563])).
% 217.99/140.53 tff(8575,plain,
% 217.99/140.53 ((~(v124(constB75, 0) <=> b011(0))) | v124(constB75, 0) | (~b011(0))),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8576,plain,
% 217.99/140.53 (~(v124(constB75, 0) <=> b011(0))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8575, 2025, 8475])).
% 217.99/140.53 tff(8577,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))), introduced(assumption)).
% 217.99/140.53 tff(8578,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))) | (v124(constB75, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))) | (v124(constB75, 0) <=> b011(0)))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8579,plain,
% 217.99/140.53 (($false | $false | (v124(constB75, 0) <=> b011(0))) <=> (v124(constB75, 0) <=> b011(0))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8580,plain,
% 217.99/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b011(0))) <=> ($false | $false | (v124(constB75, 0) <=> b011(0)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.53 tff(8581,plain,
% 217.99/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b011(0))) <=> (v124(constB75, 0) <=> b011(0))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8580, 8579])).
% 217.99/140.53 tff(8582,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))) | (v124(constB75, 0) <=> b011(0)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[8581])).
% 217.99/140.53 tff(8583,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))) | (v124(constB75, 0) <=> b011(0)))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8582, 8578])).
% 217.99/140.53 tff(8584,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b011(0)))),
% 217.99/140.53 inference(quant_inst,[status(thm)],[])).
% 217.99/140.53 tff(8585,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))) | (v124(constB75, 0) <=> b011(0))),
% 217.99/140.53 inference(modus_ponens,[status(thm)],[8584, 8583])).
% 217.99/140.53 tff(8586,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8585, 8577, 8576])).
% 217.99/140.53 tff(8587,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))) | v124(constB75, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8588,plain,
% 217.99/140.53 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8587, 8464])).
% 217.99/140.53 tff(8589,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))), introduced(assumption)).
% 217.99/140.53 tff(8590,assumption,(v115(constB75)), introduced(assumption)).
% 217.99/140.53 tff(8591,plain,
% 217.99/140.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B))))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8592,plain,
% 217.99/140.53 (((~v115(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B))))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8593,plain,
% 217.99/140.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[8592])).
% 217.99/140.53 tff(8594,plain,
% 217.99/140.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B))))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8593, 8591])).
% 217.99/140.53 tff(8595,plain,
% 217.99/140.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.53 inference(quant_inst,[status(thm)],[])).
% 217.99/140.53 tff(8596,plain,
% 217.99/140.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))),
% 217.99/140.53 inference(modus_ponens,[status(thm)],[8595, 8594])).
% 217.99/140.53 tff(8597,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8596, 2144, 8590, 8589])).
% 217.99/140.53 tff(8598,plain,((~v115(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8599,plain,
% 217.99/140.53 (~v115(constB75)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8598, 8588])).
% 217.99/140.53 tff(8600,plain,
% 217.99/140.53 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8353, 8599, 4616, 8574])).
% 217.99/140.53 tff(8601,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 0) <=> b001(0)))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8602,plain,
% 217.99/140.53 (($false | $false | (v124(constB75, 0) <=> b001(0))) <=> (v124(constB75, 0) <=> b001(0))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8603,plain,
% 217.99/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b001(0))) <=> ($false | $false | (v124(constB75, 0) <=> b001(0)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.53 tff(8604,plain,
% 217.99/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b001(0))) <=> (v124(constB75, 0) <=> b001(0))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8603, 8602])).
% 217.99/140.53 tff(8605,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 0) <=> b001(0)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[8604])).
% 217.99/140.53 tff(8606,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 0) <=> b001(0)))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8605, 8601])).
% 217.99/140.53 tff(8607,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b001(0)))),
% 217.99/140.53 inference(quant_inst,[status(thm)],[])).
% 217.99/140.53 tff(8608,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 0) <=> b001(0))),
% 217.99/140.53 inference(modus_ponens,[status(thm)],[8607, 8606])).
% 217.99/140.53 tff(8609,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8608, 8600, 8466])).
% 217.99/140.53 tff(8610,plain,(v84(constB75, 0) | v84(constB76, 0) | v118(constB77)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8611,plain,
% 217.99/140.53 (v84(constB76, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8610, 8415, 8269])).
% 217.99/140.53 tff(8612,plain,
% 217.99/140.53 (v84(constB77, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8497, 8611])).
% 217.99/140.53 tff(8613,plain,
% 217.99/140.53 ((~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))) | v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8614,plain,
% 217.99/140.53 (v84(constB77, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8613, 8612, 1205, 8411])).
% 217.99/140.53 tff(8615,assumption,(~(v84(constB77, 1) <=> v84(constB76, 1))), introduced(assumption)).
% 217.99/140.53 tff(8616,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[3860, 1353, 8615])).
% 217.99/140.53 tff(8617,plain,(v84(constB77, 1) <=> v84(constB76, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8618,plain,
% 217.99/140.53 ((~v84(constB77, 1)) | v84(constB76, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8557, 8617])).
% 217.99/140.53 tff(8619,plain,
% 217.99/140.53 (v84(constB76, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8618, 8614])).
% 217.99/140.53 tff(8620,plain,
% 217.99/140.53 ((~(v84(constB76, 1) <=> v123(constB76, 1))) | v123(constB76, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8554, 8619])).
% 217.99/140.53 tff(8621,plain,
% 217.99/140.53 (v123(constB76, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8620, 8192])).
% 217.99/140.53 tff(8622,assumption,(v124(constB75, 1)), introduced(assumption)).
% 217.99/140.53 tff(8623,plain,
% 217.99/140.53 ((~(v124(constB75, 1) <=> b001(1))) | (~v124(constB75, 1)) | b001(1)),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8624,plain,
% 217.99/140.53 (~(v124(constB75, 1) <=> b001(1))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8623, 1885, 8622])).
% 217.99/140.53 tff(8625,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 1) <=> b001(1)))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8626,plain,
% 217.99/140.53 (($false | $false | (v124(constB75, 1) <=> b001(1))) <=> (v124(constB75, 1) <=> b001(1))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8627,plain,
% 217.99/140.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b001(1))) <=> ($false | $false | (v124(constB75, 1) <=> b001(1)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.53 tff(8628,plain,
% 217.99/140.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b001(1))) <=> (v124(constB75, 1) <=> b001(1))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8627, 8626])).
% 217.99/140.53 tff(8629,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 1) <=> b001(1)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[8628])).
% 217.99/140.53 tff(8630,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 1) <=> b001(1)))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8629, 8625])).
% 217.99/140.53 tff(8631,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b001(1)))),
% 217.99/140.53 inference(quant_inst,[status(thm)],[])).
% 217.99/140.53 tff(8632,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (v124(constB75, 1) <=> b001(1))),
% 217.99/140.53 inference(modus_ponens,[status(thm)],[8631, 8630])).
% 217.99/140.53 tff(8633,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8632, 8358, 8624])).
% 217.99/140.53 tff(8634,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b001(B)))) | (~v124(constB75, 1))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8635,plain,
% 217.99/140.53 (~v124(constB75, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8634, 8354])).
% 217.99/140.53 tff(8636,plain,
% 217.99/140.53 (~v121(constB75, 1)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8549, 8635])).
% 217.99/140.53 tff(8637,plain,
% 217.99/140.53 ((~(v123(constB76, 1) <=> v121(constB75, 1))) | (~v123(constB76, 1))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8551, 8636])).
% 217.99/140.53 tff(8638,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8637, 8621, 8167])).
% 217.99/140.53 tff(8639,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))) | (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8640,plain,
% 217.99/140.53 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8639, 4614, 8151])).
% 217.99/140.53 tff(8641,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))), introduced(assumption)).
% 217.99/140.53 tff(8642,assumption,(v118(constB73)), introduced(assumption)).
% 217.99/140.53 tff(8643,plain,
% 217.99/140.53 ($false),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[5108, 1977, 8642, 8641])).
% 217.99/140.53 tff(8644,plain,((~v118(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.53 tff(8645,plain,
% 217.99/140.53 (~v118(constB73)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8644, 8640])).
% 217.99/140.53 tff(8646,plain,
% 217.99/140.53 (v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[3313, 8148])).
% 217.99/140.53 tff(8647,plain,
% 217.99/140.53 (v107(constB79)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[192, 3850])).
% 217.99/140.53 tff(8648,plain,
% 217.99/140.53 (~((~v107(constB79)) | (~v120(constB79)))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[178, 8647])).
% 217.99/140.53 tff(8649,plain,
% 217.99/140.53 (v106(constB79)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[136, 8648])).
% 217.99/140.53 tff(8650,plain,
% 217.99/140.53 (v105(constB79) | v106(constB79)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[121, 8649])).
% 217.99/140.53 tff(8651,plain,
% 217.99/140.53 (v102(constB79)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[119, 8650])).
% 217.99/140.53 tff(8652,plain,
% 217.99/140.53 (v104(constB80)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[107, 8651])).
% 217.99/140.53 tff(8653,plain,
% 217.99/140.53 (~((~v95(constB80)) | (~v104(constB80)))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[90, 8652])).
% 217.99/140.53 tff(8654,plain,
% 217.99/140.53 (v94(constB80)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[23, 8653])).
% 217.99/140.53 tff(8655,plain,
% 217.99/140.53 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[1708, 8654])).
% 217.99/140.53 tff(8656,plain,
% 217.99/140.53 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[3385, 8655, 8646])).
% 217.99/140.53 tff(8657,plain,
% 217.99/140.53 (~v114(constB79)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[3396, 8656])).
% 217.99/140.53 tff(8658,plain,
% 217.99/140.53 (v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[484, 8657])).
% 217.99/140.53 tff(8659,plain,
% 217.99/140.53 (~((~v107(constB75)) | (~v120(constB75)))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[4757, 5128])).
% 217.99/140.53 tff(8660,plain,
% 217.99/140.53 (v106(constB75)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[4749, 8659])).
% 217.99/140.53 tff(8661,plain,
% 217.99/140.53 (v105(constB75) | v106(constB75)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[4746, 8660])).
% 217.99/140.53 tff(8662,plain,
% 217.99/140.53 (v102(constB75)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[4744, 8661])).
% 217.99/140.53 tff(8663,plain,
% 217.99/140.53 (v104(constB76)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[4741, 8662])).
% 217.99/140.53 tff(8664,plain,
% 217.99/140.53 (~((~v95(constB76)) | (~v104(constB76)))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[4738, 8663])).
% 217.99/140.53 tff(8665,plain,
% 217.99/140.53 (v94(constB76)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[4707, 8664])).
% 217.99/140.53 tff(8666,plain,
% 217.99/140.53 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8182, 8665])).
% 217.99/140.53 tff(8667,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))), introduced(assumption)).
% 217.99/140.53 tff(8668,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 0) <=> b110(0)))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8669,plain,
% 217.99/140.53 (($false | $false | (v124(constB75, 0) <=> b110(0))) <=> (v124(constB75, 0) <=> b110(0))),
% 217.99/140.53 inference(rewrite,[status(thm)],[])).
% 217.99/140.53 tff(8670,plain,
% 217.99/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b110(0))) <=> ($false | $false | (v124(constB75, 0) <=> b110(0)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.53 tff(8671,plain,
% 217.99/140.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b110(0))) <=> (v124(constB75, 0) <=> b110(0))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8670, 8669])).
% 217.99/140.53 tff(8672,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 0) <=> b110(0)))),
% 217.99/140.53 inference(monotonicity,[status(thm)],[8671])).
% 217.99/140.53 tff(8673,plain,
% 217.99/140.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 0) <=> b110(0)))),
% 217.99/140.53 inference(transitivity,[status(thm)],[8672, 8668])).
% 217.99/140.53 tff(8674,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b110(0)))),
% 217.99/140.53 inference(quant_inst,[status(thm)],[])).
% 217.99/140.53 tff(8675,plain,
% 217.99/140.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 0) <=> b110(0))),
% 217.99/140.53 inference(modus_ponens,[status(thm)],[8674, 8673])).
% 217.99/140.53 tff(8676,plain,
% 217.99/140.53 (v124(constB75, 0) <=> b110(0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8675, 8667])).
% 217.99/140.53 tff(8677,plain,
% 217.99/140.53 ((~(v124(constB75, 0) <=> b110(0))) | (~v124(constB75, 0)) | b110(0)),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8678,plain,
% 217.99/140.53 ((~(v124(constB75, 0) <=> b110(0))) | (~v124(constB75, 0))),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8677, 3186])).
% 217.99/140.53 tff(8679,plain,
% 217.99/140.53 (~v124(constB75, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8678, 8676])).
% 217.99/140.53 tff(8680,plain,
% 217.99/140.53 ((~(v121(constB75, 0) <=> v124(constB75, 0))) | (~v121(constB75, 0)) | v124(constB75, 0)),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8681,plain,
% 217.99/140.53 ((~v121(constB75, 0)) | v124(constB75, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8680, 8426])).
% 217.99/140.53 tff(8682,plain,
% 217.99/140.53 (~v121(constB75, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8681, 8679])).
% 217.99/140.53 tff(8683,plain,
% 217.99/140.53 ((~(v123(constB76, 0) <=> v121(constB75, 0))) | (~v123(constB76, 0)) | v121(constB75, 0)),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8684,plain,
% 217.99/140.53 ((~v123(constB76, 0)) | v121(constB75, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8683, 8437])).
% 217.99/140.53 tff(8685,plain,
% 217.99/140.53 (~v123(constB76, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8684, 8682])).
% 217.99/140.53 tff(8686,plain,
% 217.99/140.53 ((~(v84(constB76, 0) <=> v123(constB76, 0))) | (~v84(constB76, 0)) | v123(constB76, 0)),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8687,plain,
% 217.99/140.53 (~v84(constB76, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8686, 8685, 8471])).
% 217.99/140.53 tff(8688,plain,
% 217.99/140.53 ((~(v84(constB77, 0) <=> v84(constB76, 0))) | (~v84(constB77, 0)) | v84(constB76, 0)),
% 217.99/140.53 inference(tautology,[status(thm)],[])).
% 217.99/140.53 tff(8689,plain,
% 217.99/140.53 ((~v84(constB77, 0)) | v84(constB76, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8688, 8496])).
% 217.99/140.53 tff(8690,plain,
% 217.99/140.53 (~v84(constB77, 0)),
% 217.99/140.53 inference(unit_resolution,[status(thm)],[8689, 8687])).
% 217.99/140.53 tff(8691,plain,
% 217.99/140.53 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2069, 2022])).
% 217.99/140.54 tff(8692,plain,
% 217.99/140.54 (v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2468, 1425])).
% 217.99/140.54 tff(8693,plain,
% 217.99/140.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2055, 2022])).
% 217.99/140.54 tff(8694,plain,
% 217.99/140.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b011(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2038, 2022])).
% 217.99/140.54 tff(8695,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2193, 8694, 8693, 1425, 8692, 8691])).
% 217.99/140.54 tff(8696,plain,(v124(constB77, 0) | v84(constB77, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8697,plain,
% 217.99/140.54 (v124(constB77, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8696, 8690])).
% 217.99/140.54 tff(8698,plain,
% 217.99/140.54 (v121(constB77, 0) | (~v124(constB77, 0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2019, 3797])).
% 217.99/140.54 tff(8699,plain,
% 217.99/140.54 (v121(constB77, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8698, 8697])).
% 217.99/140.54 tff(8700,plain,
% 217.99/140.54 (v123(constB78, 0) | (~v121(constB77, 0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2016, 3802])).
% 217.99/140.54 tff(8701,plain,
% 217.99/140.54 (v123(constB78, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8700, 8699])).
% 217.99/140.54 tff(8702,assumption,(v123(constB78, 0)), introduced(assumption)).
% 217.99/140.54 tff(8703,plain,
% 217.99/140.54 (~(v84(constB78, 0) <=> v123(constB78, 0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2013, 1204, 8702])).
% 217.99/140.54 tff(8704,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3808, 8703, 1499])).
% 217.99/140.54 tff(8705,plain,(v84(constB78, 0) | (~v123(constB78, 0))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8706,plain,
% 217.99/140.54 (v84(constB78, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8705, 8701])).
% 217.99/140.54 tff(8707,plain,
% 217.99/140.54 (v84(constB79, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1202, 8706])).
% 217.99/140.54 tff(8708,plain,
% 217.99/140.54 ((~(v84(constB78, 0) <=> v84(constB77, 0))) | (~v84(constB78, 0)) | v84(constB77, 0)),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8709,plain,
% 217.99/140.54 (~(v84(constB78, 0) <=> v84(constB77, 0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8708, 3790, 1425])).
% 217.99/140.54 tff(8710,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1382, 1374, 8709])).
% 217.99/140.54 tff(8711,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))) | (~v84(constB78, 0)) | v84(constB77, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8712,plain,
% 217.99/140.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8711, 8706, 8690])).
% 217.99/140.54 tff(8713,plain,
% 217.99/140.54 (v94(constB78)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1369, 8712])).
% 217.99/140.54 tff(8714,plain,
% 217.99/140.54 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1498, 8713])).
% 217.99/140.54 tff(8715,plain,
% 217.99/140.54 (v84(constB78, 2) <=> v123(constB78, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1507, 8714])).
% 217.99/140.54 tff(8716,assumption,(~v124(constB75, 1)), introduced(assumption)).
% 217.99/140.54 tff(8717,plain,
% 217.99/140.54 ((~(v124(constB75, 1) <=> b110(1))) | v124(constB75, 1) | (~b110(1))),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8718,plain,
% 217.99/140.54 (~(v124(constB75, 1) <=> b110(1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8717, 1662, 8716])).
% 217.99/140.54 tff(8719,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 1) <=> b110(1)))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8720,plain,
% 217.99/140.54 (($false | $false | (v124(constB75, 1) <=> b110(1))) <=> (v124(constB75, 1) <=> b110(1))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8721,plain,
% 217.99/140.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b110(1))) <=> ($false | $false | (v124(constB75, 1) <=> b110(1)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.54 tff(8722,plain,
% 217.99/140.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b110(1))) <=> (v124(constB75, 1) <=> b110(1))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8721, 8720])).
% 217.99/140.54 tff(8723,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 1) <=> b110(1)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[8722])).
% 217.99/140.54 tff(8724,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 1) <=> b110(1)))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8723, 8719])).
% 217.99/140.54 tff(8725,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b110(1)))),
% 217.99/140.54 inference(quant_inst,[status(thm)],[])).
% 217.99/140.54 tff(8726,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 1) <=> b110(1))),
% 217.99/140.54 inference(modus_ponens,[status(thm)],[8725, 8724])).
% 217.99/140.54 tff(8727,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8726, 8667, 8718])).
% 217.99/140.54 tff(8728,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | v124(constB75, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8729,plain,
% 217.99/140.54 (v124(constB75, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8728, 8667])).
% 217.99/140.54 tff(8730,plain,
% 217.99/140.54 ((~(v121(constB75, 1) <=> v124(constB75, 1))) | v121(constB75, 1) | (~v124(constB75, 1))),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8731,plain,
% 217.99/140.54 (v121(constB75, 1) | (~v124(constB75, 1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8730, 8547])).
% 217.99/140.54 tff(8732,plain,
% 217.99/140.54 (v121(constB75, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8731, 8729])).
% 217.99/140.54 tff(8733,plain,
% 217.99/140.54 ((~(v123(constB76, 1) <=> v121(constB75, 1))) | v123(constB76, 1) | (~v121(constB75, 1))),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8734,plain,
% 217.99/140.54 ((~(v123(constB76, 1) <=> v121(constB75, 1))) | v123(constB76, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8733, 8732])).
% 217.99/140.54 tff(8735,plain,
% 217.99/140.54 (v123(constB76, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8734, 8167])).
% 217.99/140.54 tff(8736,plain,
% 217.99/140.54 ((~(v84(constB76, 1) <=> v123(constB76, 1))) | v84(constB76, 1) | (~v123(constB76, 1))),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8737,plain,
% 217.99/140.54 ((~(v84(constB76, 1) <=> v123(constB76, 1))) | v84(constB76, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8736, 8735])).
% 217.99/140.54 tff(8738,plain,
% 217.99/140.54 (v84(constB76, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8737, 8524])).
% 217.99/140.54 tff(8739,plain,
% 217.99/140.54 (v84(constB77, 1) | (~v84(constB76, 1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[4316, 8617])).
% 217.99/140.54 tff(8740,plain,
% 217.99/140.54 (v84(constB77, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8739, 8738])).
% 217.99/140.54 tff(8741,plain,
% 217.99/140.54 (v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[4387, 8740])).
% 217.99/140.54 tff(8742,assumption,(~(v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))))), introduced(assumption)).
% 217.99/140.54 tff(8743,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1460, 656, 8742])).
% 217.99/140.54 tff(8744,plain,(v117(constB77) <=> (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8745,plain,
% 217.99/140.54 ((~v117(constB77)) | (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2197, 8744])).
% 217.99/140.54 tff(8746,plain,
% 217.99/140.54 (~v117(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8745, 8741])).
% 217.99/140.54 tff(8747,plain,
% 217.99/140.54 ((v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2)) | (~v84(constB77, 1))),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8748,plain,
% 217.99/140.54 (v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8747, 8740])).
% 217.99/140.54 tff(8749,plain,
% 217.99/140.54 ((~(v113(constB77) <=> (~(v84(constB77, 0) | v84(constB77, 1) | v84(constB77, 2))))) | (~v113(constB77))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2207, 8748])).
% 217.99/140.54 tff(8750,plain,
% 217.99/140.54 (~v113(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8749, 1402])).
% 217.99/140.54 tff(8751,assumption,(v118(constB77)), introduced(assumption)).
% 217.99/140.54 tff(8752,plain,
% 217.99/140.54 ((v109(constB77) | v118(constB77)) | (~v118(constB77))),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8753,plain,
% 217.99/140.54 (v109(constB77) | v118(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8752, 8751])).
% 217.99/140.54 tff(8754,plain,
% 217.99/140.54 (v108(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3827, 8753])).
% 217.99/140.54 tff(8755,plain,
% 217.99/140.54 (v108(constB77) | v119(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1390, 8754])).
% 217.99/140.54 tff(8756,plain,
% 217.99/140.54 (v107(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3830, 8755])).
% 217.99/140.54 tff(8757,plain,
% 217.99/140.54 (~((~v107(constB77)) | (~v120(constB77)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1314, 8756])).
% 217.99/140.54 tff(8758,plain,
% 217.99/140.54 (v106(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1299, 8757])).
% 217.99/140.54 tff(8759,plain,
% 217.99/140.54 (v105(constB77) | v106(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1294, 8758])).
% 217.99/140.54 tff(8760,plain,
% 217.99/140.54 (v102(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1292, 8759])).
% 217.99/140.54 tff(8761,plain,
% 217.99/140.54 (v104(constB78)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1287, 8760])).
% 217.99/140.54 tff(8762,plain,
% 217.99/140.54 (~((~v95(constB78)) | (~v104(constB78)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1280, 8761])).
% 217.99/140.54 tff(8763,plain,
% 217.99/140.54 (v94(constB78)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1246, 8762])).
% 217.99/140.54 tff(8764,plain,
% 217.99/140.54 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1498, 8763])).
% 217.99/140.54 tff(8765,plain,
% 217.99/140.54 (v84(constB78, 0) <=> v123(constB78, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3808, 8764])).
% 217.99/140.54 tff(8766,plain,
% 217.99/140.54 (v123(constB78, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2633, 8765, 3790])).
% 217.99/140.54 tff(8767,plain,
% 217.99/140.54 (v121(constB77, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3803, 8766])).
% 217.99/140.54 tff(8768,plain,
% 217.99/140.54 (v124(constB77, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3798, 8767])).
% 217.99/140.54 tff(8769,plain,
% 217.99/140.54 ((~(v124(constB77, 0) <=> b110(0))) | (~v124(constB77, 0)) | b110(0)),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8770,plain,
% 217.99/140.54 (~(v124(constB77, 0) <=> b110(0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8769, 3186, 8768])).
% 217.99/140.54 tff(8771,plain,
% 217.99/140.54 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1984, 8751])).
% 217.99/140.54 tff(8772,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 0) <=> b110(0)))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8773,plain,
% 217.99/140.54 (($false | $false | (v124(constB77, 0) <=> b110(0))) <=> (v124(constB77, 0) <=> b110(0))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8774,plain,
% 217.99/140.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b110(0))) <=> ($false | $false | (v124(constB77, 0) <=> b110(0)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.54 tff(8775,plain,
% 217.99/140.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b110(0))) <=> (v124(constB77, 0) <=> b110(0))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8774, 8773])).
% 217.99/140.54 tff(8776,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 0) <=> b110(0)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[8775])).
% 217.99/140.54 tff(8777,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 0) <=> b110(0)))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8776, 8772])).
% 217.99/140.54 tff(8778,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB77, 0) <=> b110(0)))),
% 217.99/140.54 inference(quant_inst,[status(thm)],[])).
% 217.99/140.54 tff(8779,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b110(B)))) | (v124(constB77, 0) <=> b110(0))),
% 217.99/140.54 inference(modus_ponens,[status(thm)],[8778, 8777])).
% 217.99/140.54 tff(8780,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8779, 8771, 8770])).
% 217.99/140.54 tff(8781,plain,((~v118(constB77)) | (~v84(constB78, 0))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8782,plain,
% 217.99/140.54 (~v118(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8781, 8706])).
% 217.99/140.54 tff(8783,plain,
% 217.99/140.54 ((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2171, 8690])).
% 217.99/140.54 tff(8784,assumption,(~(v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0)))))), introduced(assumption)).
% 217.99/140.54 tff(8785,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2169, 521, 8784])).
% 217.99/140.54 tff(8786,plain,(v116(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8787,plain,
% 217.99/140.54 ((~v116(constB77)) | (~((~v84(constB77, 1)) | v84(constB77, 2) | (~v84(constB77, 0))))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2173, 8786])).
% 217.99/140.54 tff(8788,plain,
% 217.99/140.54 (~v116(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8787, 8783])).
% 217.99/140.54 tff(8789,plain,
% 217.99/140.54 (v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2468, 8690])).
% 217.99/140.54 tff(8790,plain,
% 217.99/140.54 ((~v114(constB77)) | (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2178, 3787])).
% 217.99/140.54 tff(8791,plain,
% 217.99/140.54 (~v114(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8790, 8789])).
% 217.99/140.54 tff(8792,plain,
% 217.99/140.54 ((~(v124(constB75, 2) <=> b110(2))) | v124(constB75, 2) | (~b110(2))),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8793,plain,
% 217.99/140.54 (~(v124(constB75, 2) <=> b110(2))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8792, 1598, 8500])).
% 217.99/140.54 tff(8794,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 2) <=> b110(2)))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8795,plain,
% 217.99/140.54 (($false | $false | (v124(constB75, 2) <=> b110(2))) <=> (v124(constB75, 2) <=> b110(2))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8796,plain,
% 217.99/140.54 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b110(2))) <=> ($false | $false | (v124(constB75, 2) <=> b110(2)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.54 tff(8797,plain,
% 217.99/140.54 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b110(2))) <=> (v124(constB75, 2) <=> b110(2))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8796, 8795])).
% 217.99/140.54 tff(8798,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 2) <=> b110(2)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[8797])).
% 217.99/140.54 tff(8799,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 2) <=> b110(2)))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8798, 8794])).
% 217.99/140.54 tff(8800,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b110(2)))),
% 217.99/140.54 inference(quant_inst,[status(thm)],[])).
% 217.99/140.54 tff(8801,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (v124(constB75, 2) <=> b110(2))),
% 217.99/140.54 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 217.99/140.54 tff(8802,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8801, 8667, 8793])).
% 217.99/140.54 tff(8803,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | v124(constB75, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8804,plain,
% 217.99/140.54 (v124(constB75, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8803, 8667])).
% 217.99/140.54 tff(8805,plain,
% 217.99/140.54 (v121(constB75, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8515, 8804])).
% 217.99/140.54 tff(8806,plain,
% 217.99/140.54 (v123(constB76, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8518, 8805])).
% 217.99/140.54 tff(8807,plain,
% 217.99/140.54 (v84(constB76, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8520, 8806, 8499])).
% 217.99/140.54 tff(8808,plain,
% 217.99/140.54 ((~(v84(constB77, 2) <=> v84(constB76, 2))) | v84(constB77, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1452, 8807])).
% 217.99/140.54 tff(8809,plain,
% 217.99/140.54 (v84(constB77, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8808, 1362])).
% 217.99/140.54 tff(8810,plain,
% 217.99/140.54 ((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[4369, 8809])).
% 217.99/140.54 tff(8811,assumption,(~(v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0))))), introduced(assumption)).
% 217.99/140.54 tff(8812,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1431, 622, 8811])).
% 217.99/140.54 tff(8813,plain,(v115(constB77) <=> (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8814,plain,
% 217.99/140.54 ((~v115(constB77)) | (~((~v84(constB77, 1)) | v84(constB77, 2) | v84(constB77, 0)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2202, 8813])).
% 217.99/140.54 tff(8815,plain,
% 217.99/140.54 (~v115(constB77)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8814, 8810])).
% 217.99/140.54 tff(8816,plain,
% 217.99/140.54 (v114(constB77) | v113(constB77) | v115(constB77) | v116(constB77) | v117(constB77) | v118(constB77) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2190, 1807])).
% 217.99/140.54 tff(8817,plain,
% 217.99/140.54 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8816, 8815, 8791, 8788, 8782, 8750, 8746])).
% 217.99/140.54 tff(8818,assumption,(v124(constB77, 2)), introduced(assumption)).
% 217.99/140.54 tff(8819,plain,
% 217.99/140.54 ((~(v124(constB77, 2) <=> b001(2))) | (~v124(constB77, 2)) | b001(2)),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8820,plain,
% 217.99/140.54 (~(v124(constB77, 2) <=> b001(2))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8819, 1831, 8818])).
% 217.99/140.54 tff(8821,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 2) <=> b001(2)))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8822,plain,
% 217.99/140.54 (($false | $false | (v124(constB77, 2) <=> b001(2))) <=> (v124(constB77, 2) <=> b001(2))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8823,plain,
% 217.99/140.54 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b001(2))) <=> ($false | $false | (v124(constB77, 2) <=> b001(2)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.54 tff(8824,plain,
% 217.99/140.54 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b001(2))) <=> (v124(constB77, 2) <=> b001(2))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8823, 8822])).
% 217.99/140.54 tff(8825,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 2) <=> b001(2)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[8824])).
% 217.99/140.54 tff(8826,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 2) <=> b001(2)))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8825, 8821])).
% 217.99/140.54 tff(8827,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b001(2)))),
% 217.99/140.54 inference(quant_inst,[status(thm)],[])).
% 217.99/140.54 tff(8828,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 2) <=> b001(2))),
% 217.99/140.54 inference(modus_ponens,[status(thm)],[8827, 8826])).
% 217.99/140.54 tff(8829,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8828, 2059, 8820])).
% 217.99/140.54 tff(8830,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (~v124(constB77, 2))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8831,plain,
% 217.99/140.54 (~v124(constB77, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8830, 8817])).
% 217.99/140.54 tff(8832,assumption,(~(v121(constB77, 2) <=> v124(constB77, 2))), introduced(assumption)).
% 217.99/140.54 tff(8833,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1577, 1569, 8832])).
% 217.99/140.54 tff(8834,plain,(v121(constB77, 2) <=> v124(constB77, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8835,plain,
% 217.99/140.54 ((~v121(constB77, 2)) | v124(constB77, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2489, 8834])).
% 217.99/140.54 tff(8836,plain,
% 217.99/140.54 (~v121(constB77, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8835, 8831])).
% 217.99/140.54 tff(8837,plain,
% 217.99/140.54 ((~(v123(constB78, 2) <=> v121(constB77, 2))) | (~v123(constB78, 2))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2492, 8836])).
% 217.99/140.54 tff(8838,plain,
% 217.99/140.54 (~v123(constB78, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8837, 1543])).
% 217.99/140.54 tff(8839,plain,
% 217.99/140.54 ((~(v84(constB78, 2) <=> v123(constB78, 2))) | (~v84(constB78, 2))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2495, 8838])).
% 217.99/140.54 tff(8840,plain,
% 217.99/140.54 (~v84(constB78, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8839, 8715])).
% 217.99/140.54 tff(8841,assumption,(~(v84(constB79, 2) <=> v84(constB78, 2))), introduced(assumption)).
% 217.99/140.54 tff(8842,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1226, 1190, 8841])).
% 217.99/140.54 tff(8843,plain,(v84(constB79, 2) <=> v84(constB78, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8844,plain,
% 217.99/140.54 ((~v84(constB79, 2)) | v84(constB78, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2498, 8843])).
% 217.99/140.54 tff(8845,plain,
% 217.99/140.54 (~v84(constB79, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8844, 8840])).
% 217.99/140.54 tff(8846,plain,
% 217.99/140.54 (v84(constB78, 1) <=> v123(constB78, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1631, 8714])).
% 217.99/140.54 tff(8847,assumption,(v124(constB77, 1)), introduced(assumption)).
% 217.99/140.54 tff(8848,plain,
% 217.99/140.54 ((~(v124(constB77, 1) <=> b001(1))) | (~v124(constB77, 1)) | b001(1)),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8849,plain,
% 217.99/140.54 (~(v124(constB77, 1) <=> b001(1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8848, 1885, 8847])).
% 217.99/140.54 tff(8850,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 1) <=> b001(1)))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8851,plain,
% 217.99/140.54 (($false | $false | (v124(constB77, 1) <=> b001(1))) <=> (v124(constB77, 1) <=> b001(1))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8852,plain,
% 217.99/140.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b001(1))) <=> ($false | $false | (v124(constB77, 1) <=> b001(1)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.54 tff(8853,plain,
% 217.99/140.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b001(1))) <=> (v124(constB77, 1) <=> b001(1))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8852, 8851])).
% 217.99/140.54 tff(8854,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 1) <=> b001(1)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[8853])).
% 217.99/140.54 tff(8855,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 1) <=> b001(1)))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8854, 8850])).
% 217.99/140.54 tff(8856,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b001(1)))),
% 217.99/140.54 inference(quant_inst,[status(thm)],[])).
% 217.99/140.54 tff(8857,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (v124(constB77, 1) <=> b001(1))),
% 217.99/140.54 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 217.99/140.54 tff(8858,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8857, 2059, 8849])).
% 217.99/140.54 tff(8859,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b001(B)))) | (~v124(constB77, 1))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8860,plain,
% 217.99/140.54 (~v124(constB77, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8859, 8817])).
% 217.99/140.54 tff(8861,plain,
% 217.99/140.54 ((~(v121(constB77, 1) <=> v124(constB77, 1))) | (~v121(constB77, 1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2278, 8860])).
% 217.99/140.54 tff(8862,plain,
% 217.99/140.54 (~v121(constB77, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8861, 1650])).
% 217.99/140.54 tff(8863,assumption,(~(v123(constB78, 1) <=> v121(constB77, 1))), introduced(assumption)).
% 217.99/140.54 tff(8864,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1640, 1534, 8863])).
% 217.99/140.54 tff(8865,plain,(v123(constB78, 1) <=> v121(constB77, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8866,plain,
% 217.99/140.54 ((~v123(constB78, 1)) | v121(constB77, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2281, 8865])).
% 217.99/140.54 tff(8867,plain,
% 217.99/140.54 (~v123(constB78, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8866, 8862])).
% 217.99/140.54 tff(8868,plain,
% 217.99/140.54 ((~(v84(constB78, 1) <=> v123(constB78, 1))) | (~v84(constB78, 1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2284, 8867])).
% 217.99/140.54 tff(8869,plain,
% 217.99/140.54 (~v84(constB78, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8868, 8846])).
% 217.99/140.54 tff(8870,assumption,(~(v84(constB79, 1) <=> v84(constB78, 1))), introduced(assumption)).
% 217.99/140.54 tff(8871,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1622, 1190, 8870])).
% 217.99/140.54 tff(8872,plain,(v84(constB79, 1) <=> v84(constB78, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8873,plain,
% 217.99/140.54 ((~v84(constB79, 1)) | v84(constB78, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2287, 8872])).
% 217.99/140.54 tff(8874,plain,
% 217.99/140.54 (~v84(constB79, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8873, 8869])).
% 217.99/140.54 tff(8875,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[489, 8874, 8845, 488, 8707])).
% 217.99/140.54 tff(8876,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))) | (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8877,plain,
% 217.99/140.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8876, 8666, 8658])).
% 217.99/140.54 tff(8878,assumption,(v118(constB75)), introduced(assumption)).
% 217.99/140.54 tff(8879,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))), introduced(assumption)).
% 217.99/140.54 tff(8880,plain,
% 217.99/140.54 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B))))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8881,plain,
% 217.99/140.54 (((~v118(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B))))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8882,plain,
% 217.99/140.54 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[8881])).
% 217.99/140.54 tff(8883,plain,
% 217.99/140.54 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B))))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8882, 8880])).
% 217.99/140.54 tff(8884,plain,
% 217.99/140.54 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.54 inference(quant_inst,[status(thm)],[])).
% 217.99/140.54 tff(8885,plain,
% 217.99/140.54 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))),
% 217.99/140.54 inference(modus_ponens,[status(thm)],[8884, 8883])).
% 217.99/140.54 tff(8886,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8885, 1977, 8879, 8878])).
% 217.99/140.54 tff(8887,plain,((~v118(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8888,plain,
% 217.99/140.54 (~v118(constB75)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8887, 8877])).
% 217.99/140.54 tff(8889,assumption,(~(v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))), introduced(assumption)).
% 217.99/140.54 tff(8890,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3871, 394, 8889])).
% 217.99/140.54 tff(8891,plain,(v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8892,plain,
% 217.99/140.54 (v118(constB75) | (v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[4776, 8891])).
% 217.99/140.54 tff(8893,plain,
% 217.99/140.54 (v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8892, 8888])).
% 217.99/140.54 tff(8894,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))), introduced(assumption)).
% 217.99/140.54 tff(8895,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 1) <=> b001(1)))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8896,plain,
% 217.99/140.54 (($false | $false | (v124(constB81, 1) <=> b001(1))) <=> (v124(constB81, 1) <=> b001(1))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8897,plain,
% 217.99/140.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b001(1))) <=> ($false | $false | (v124(constB81, 1) <=> b001(1)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.54 tff(8898,plain,
% 217.99/140.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b001(1))) <=> (v124(constB81, 1) <=> b001(1))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8897, 8896])).
% 217.99/140.54 tff(8899,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 1) <=> b001(1)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[8898])).
% 217.99/140.54 tff(8900,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 1) <=> b001(1)))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8899, 8895])).
% 217.99/140.54 tff(8901,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b001(1)))),
% 217.99/140.54 inference(quant_inst,[status(thm)],[])).
% 217.99/140.54 tff(8902,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 1) <=> b001(1))),
% 217.99/140.54 inference(modus_ponens,[status(thm)],[8901, 8900])).
% 217.99/140.54 tff(8903,plain,
% 217.99/140.54 (v124(constB81, 1) <=> b001(1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8902, 8894])).
% 217.99/140.54 tff(8904,plain,
% 217.99/140.54 ((~(v124(constB81, 1) <=> b001(1))) | (~v124(constB81, 1)) | b001(1)),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8905,plain,
% 217.99/140.54 ((~(v124(constB81, 1) <=> b001(1))) | (~v124(constB81, 1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8904, 1885])).
% 217.99/140.54 tff(8906,plain,
% 217.99/140.54 (~v124(constB81, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8905, 8903])).
% 217.99/140.54 tff(8907,assumption,(~v124(constB81, 1)), introduced(assumption)).
% 217.99/140.54 tff(8908,plain,
% 217.99/140.54 ((~(v124(constB81, 1) <=> b110(1))) | v124(constB81, 1) | (~b110(1))),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8909,plain,
% 217.99/140.54 (~(v124(constB81, 1) <=> b110(1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8908, 1662, 8907])).
% 217.99/140.54 tff(8910,plain,
% 217.99/140.54 ((~(v124(constB81, 1) <=> b010(1))) | v124(constB81, 1) | (~b010(1))),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8911,plain,
% 217.99/140.54 (~(v124(constB81, 1) <=> b010(1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8910, 2513, 8907])).
% 217.99/140.54 tff(8912,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))), introduced(assumption)).
% 217.99/140.54 tff(8913,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | (v124(constB81, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | (v124(constB81, 1) <=> b010(1)))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8914,plain,
% 217.99/140.54 (($false | $false | (v124(constB81, 1) <=> b010(1))) <=> (v124(constB81, 1) <=> b010(1))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8915,plain,
% 217.99/140.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b010(1))) <=> ($false | $false | (v124(constB81, 1) <=> b010(1)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.54 tff(8916,plain,
% 217.99/140.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b010(1))) <=> (v124(constB81, 1) <=> b010(1))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8915, 8914])).
% 217.99/140.54 tff(8917,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | (v124(constB81, 1) <=> b010(1)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[8916])).
% 217.99/140.54 tff(8918,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | (v124(constB81, 1) <=> b010(1)))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8917, 8913])).
% 217.99/140.54 tff(8919,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b010(1)))),
% 217.99/140.54 inference(quant_inst,[status(thm)],[])).
% 217.99/140.54 tff(8920,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | (v124(constB81, 1) <=> b010(1))),
% 217.99/140.54 inference(modus_ponens,[status(thm)],[8919, 8918])).
% 217.99/140.54 tff(8921,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8920, 8912, 8911])).
% 217.99/140.54 tff(8922,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))) | v124(constB81, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8923,plain,
% 217.99/140.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b010(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8922, 8907])).
% 217.99/140.54 tff(8924,plain,
% 217.99/140.54 (~v114(constB81)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3147, 8923])).
% 217.99/140.54 tff(8925,plain,
% 217.99/140.54 ((~(v114(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))))) | (v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3084, 8924])).
% 217.99/140.54 tff(8926,plain,
% 217.99/140.54 (v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8925, 580])).
% 217.99/140.54 tff(8927,plain,
% 217.99/140.54 (v84(constB80, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1155, 3227])).
% 217.99/140.54 tff(8928,plain,
% 217.99/140.54 ((~(v84(constB80, 0) <=> v123(constB80, 0))) | v123(constB80, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3378, 8927])).
% 217.99/140.54 tff(8929,plain,
% 217.99/140.54 (v123(constB80, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8928, 3359])).
% 217.99/140.54 tff(8930,plain,
% 217.99/140.54 ((~(v123(constB80, 0) <=> v121(constB79, 0))) | v121(constB79, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3375, 8929])).
% 217.99/140.54 tff(8931,plain,
% 217.99/140.54 (v121(constB79, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8930, 1919])).
% 217.99/140.54 tff(8932,plain,
% 217.99/140.54 ((~(v121(constB79, 0) <=> v124(constB79, 0))) | v124(constB79, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3372, 8931])).
% 217.99/140.54 tff(8933,plain,
% 217.99/140.54 (v124(constB79, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8932, 1928])).
% 217.99/140.54 tff(8934,plain,
% 217.99/140.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b100(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3686, 8933])).
% 217.99/140.54 tff(8935,plain,
% 217.99/140.54 (~v116(constB79)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3608, 8934])).
% 217.99/140.54 tff(8936,plain,
% 217.99/140.54 (v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[630, 3227])).
% 217.99/140.54 tff(8937,plain,
% 217.99/140.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b010(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3385, 3261, 8936])).
% 217.99/140.54 tff(8938,plain,
% 217.99/140.54 (~v114(constB79)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3396, 8937])).
% 217.99/140.54 tff(8939,plain,
% 217.99/140.54 ((~(v124(constB79, 0) <=> b110(0))) | (~v124(constB79, 0)) | b110(0)),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(8940,plain,
% 217.99/140.54 (~(v124(constB79, 0) <=> b110(0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8939, 3186, 3671])).
% 217.99/140.54 tff(8941,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 0) <=> b110(0)))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8942,plain,
% 217.99/140.54 (($false | $false | (v124(constB79, 0) <=> b110(0))) <=> (v124(constB79, 0) <=> b110(0))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8943,plain,
% 217.99/140.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b110(0))) <=> ($false | $false | (v124(constB79, 0) <=> b110(0)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.54 tff(8944,plain,
% 217.99/140.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b110(0))) <=> (v124(constB79, 0) <=> b110(0))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8943, 8942])).
% 217.99/140.54 tff(8945,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 0) <=> b110(0)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[8944])).
% 217.99/140.54 tff(8946,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 0) <=> b110(0)))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8945, 8941])).
% 217.99/140.54 tff(8947,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB79, 0) <=> b110(0)))),
% 217.99/140.54 inference(quant_inst,[status(thm)],[])).
% 217.99/140.54 tff(8948,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 0) <=> b110(0))),
% 217.99/140.54 inference(modus_ponens,[status(thm)],[8947, 8946])).
% 217.99/140.54 tff(8949,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8948, 3285, 8940])).
% 217.99/140.54 tff(8950,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (~v124(constB79, 0))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8951,plain,
% 217.99/140.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8950, 8933])).
% 217.99/140.54 tff(8952,plain,
% 217.99/140.54 (~v118(constB79)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3306, 8951])).
% 217.99/140.54 tff(8953,assumption,(v84(constB80, 1) <=> v123(constB80, 1)), introduced(assumption)).
% 217.99/140.54 tff(8954,plain,
% 217.99/140.54 (v84(constB81, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3233, 1211, 3227, 1579])).
% 217.99/140.54 tff(8955,plain,
% 217.99/140.54 ((~(v84(constB81, 1) <=> v84(constB80, 1))) | v84(constB80, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1898, 8954])).
% 217.99/140.54 tff(8956,plain,
% 217.99/140.54 (v84(constB80, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8955, 409])).
% 217.99/140.54 tff(8957,plain,
% 217.99/140.54 (v123(constB80, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1895, 8956, 8953])).
% 217.99/140.54 tff(8958,plain,
% 217.99/140.54 (v121(constB79, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3627, 8957])).
% 217.99/140.54 tff(8959,assumption,(~v114(constB79)), introduced(assumption)).
% 217.99/140.54 tff(8960,plain,
% 217.99/140.54 (v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[484, 8959])).
% 217.99/140.54 tff(8961,assumption,(~v118(constB79)), introduced(assumption)).
% 217.99/140.54 tff(8962,plain,
% 217.99/140.54 (v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[442, 8961])).
% 217.99/140.54 tff(8963,plain,
% 217.99/140.54 (v84(constB78, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2392, 1211, 1205, 1579])).
% 217.99/140.54 tff(8964,plain,
% 217.99/140.54 (v84(constB79, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1202, 8963])).
% 217.99/140.54 tff(8965,plain,
% 217.99/140.54 (v84(constB79, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[493, 8964, 8962, 8960])).
% 217.99/140.54 tff(8966,plain,
% 217.99/140.54 (v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1757, 8965])).
% 217.99/140.54 tff(8967,plain,
% 217.99/140.54 ((~(v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))))) | (~v117(constB79))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1759, 8966])).
% 217.99/140.54 tff(8968,plain,
% 217.99/140.54 (~v117(constB79)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8967, 1218])).
% 217.99/140.54 tff(8969,assumption,(~v116(constB79)), introduced(assumption)).
% 217.99/140.54 tff(8970,plain,
% 217.99/140.54 ((~(v116(constB79) <=> (~(v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))))) | (v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[560, 8969])).
% 217.99/140.54 tff(8971,plain,
% 217.99/140.54 (v84(constB79, 2) | (~v84(constB79, 0)) | (~v84(constB79, 1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8970, 557])).
% 217.99/140.54 tff(8972,plain,
% 217.99/140.54 (v84(constB79, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[562, 8965, 8964, 8971])).
% 217.99/140.54 tff(8973,plain,
% 217.99/140.54 (v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1768, 8972])).
% 217.99/140.54 tff(8974,plain,
% 217.99/140.54 ((~(v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))) | (~v115(constB79))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1770, 8973])).
% 217.99/140.54 tff(8975,plain,
% 217.99/140.54 (~v115(constB79)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8974, 1767])).
% 217.99/140.54 tff(8976,plain,
% 217.99/140.54 (v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3409, 8964])).
% 217.99/140.54 tff(8977,plain,
% 217.99/140.54 ((~(v113(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 1) | v84(constB79, 2))))) | (~v113(constB79))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1755, 8976])).
% 217.99/140.54 tff(8978,plain,
% 217.99/140.54 (~v113(constB79)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8977, 1752])).
% 217.99/140.54 tff(8979,plain,
% 217.99/140.54 (v113(constB79) | v115(constB79) | v117(constB79) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1817, 1807, 8961, 8959, 8969])).
% 217.99/140.54 tff(8980,plain,
% 217.99/140.54 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8979, 8978, 8975, 8968])).
% 217.99/140.54 tff(8981,plain,
% 217.99/140.54 (~(v124(constB79, 1) <=> b001(1))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1886, 1885, 3610])).
% 217.99/140.54 tff(8982,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))), introduced(assumption)).
% 217.99/140.54 tff(8983,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[1881, 8982, 8981])).
% 217.99/140.54 tff(8984,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b001(B)))) | (~v124(constB79, 1))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8985,plain,
% 217.99/140.54 (~v124(constB79, 1)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8984, 8980])).
% 217.99/140.54 tff(8986,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3625, 8985, 8958])).
% 217.99/140.54 tff(8987,plain,((~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))) | v118(constB79) | v114(constB79) | v116(constB79) | (~(v84(constB80, 1) <=> v123(constB80, 1))) | (~v84(constB81, 0)) | (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))) | (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(8988,plain,
% 217.99/140.54 (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8987, 8952, 8938, 8935, 3265, 3227, 8926, 1205])).
% 217.99/140.54 tff(8989,plain,
% 217.99/140.54 (v118(constB81)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3161, 8988, 396])).
% 217.99/140.54 tff(8990,plain,
% 217.99/140.54 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3173, 8989])).
% 217.99/140.54 tff(8991,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | (v124(constB81, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | (v124(constB81, 1) <=> b110(1)))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8992,plain,
% 217.99/140.54 (($false | $false | (v124(constB81, 1) <=> b110(1))) <=> (v124(constB81, 1) <=> b110(1))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(8993,plain,
% 217.99/140.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b110(1))) <=> ($false | $false | (v124(constB81, 1) <=> b110(1)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.54 tff(8994,plain,
% 217.99/140.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b110(1))) <=> (v124(constB81, 1) <=> b110(1))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8993, 8992])).
% 217.99/140.54 tff(8995,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | (v124(constB81, 1) <=> b110(1)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[8994])).
% 217.99/140.54 tff(8996,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | (v124(constB81, 1) <=> b110(1)))),
% 217.99/140.54 inference(transitivity,[status(thm)],[8995, 8991])).
% 217.99/140.54 tff(8997,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB81, 1) <=> b110(1)))),
% 217.99/140.54 inference(quant_inst,[status(thm)],[])).
% 217.99/140.54 tff(8998,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b110(B)))) | (v124(constB81, 1) <=> b110(1))),
% 217.99/140.54 inference(modus_ponens,[status(thm)],[8997, 8996])).
% 217.99/140.54 tff(8999,plain,
% 217.99/140.54 ($false),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[8998, 8990, 8909])).
% 217.99/140.54 tff(9000,plain,(v124(constB81, 1) | (~v84(constB81, 0)) | (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.54 tff(9001,plain,
% 217.99/140.54 (~v84(constB81, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[9000, 8906, 1205, 3261])).
% 217.99/140.54 tff(9002,assumption,(v117(constB81)), introduced(assumption)).
% 217.99/140.54 tff(9003,plain,
% 217.99/140.54 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3754, 9002])).
% 217.99/140.54 tff(9004,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | (v124(constB81, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | (v124(constB81, 0) <=> b101(0)))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(9005,plain,
% 217.99/140.54 (($false | $false | (v124(constB81, 0) <=> b101(0))) <=> (v124(constB81, 0) <=> b101(0))),
% 217.99/140.54 inference(rewrite,[status(thm)],[])).
% 217.99/140.54 tff(9006,plain,
% 217.99/140.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b101(0))) <=> ($false | $false | (v124(constB81, 0) <=> b101(0)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.54 tff(9007,plain,
% 217.99/140.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b101(0))) <=> (v124(constB81, 0) <=> b101(0))),
% 217.99/140.54 inference(transitivity,[status(thm)],[9006, 9005])).
% 217.99/140.54 tff(9008,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | (v124(constB81, 0) <=> b101(0)))),
% 217.99/140.54 inference(monotonicity,[status(thm)],[9007])).
% 217.99/140.54 tff(9009,plain,
% 217.99/140.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | (v124(constB81, 0) <=> b101(0)))),
% 217.99/140.54 inference(transitivity,[status(thm)],[9008, 9004])).
% 217.99/140.54 tff(9010,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b101(0)))),
% 217.99/140.54 inference(quant_inst,[status(thm)],[])).
% 217.99/140.54 tff(9011,plain,
% 217.99/140.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b101(B)))) | (v124(constB81, 0) <=> b101(0))),
% 217.99/140.54 inference(modus_ponens,[status(thm)],[9010, 9009])).
% 217.99/140.54 tff(9012,plain,
% 217.99/140.54 (v124(constB81, 0) <=> b101(0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[9011, 9003])).
% 217.99/140.54 tff(9013,plain,
% 217.99/140.54 ((~(v124(constB81, 0) <=> b101(0))) | v124(constB81, 0) | (~b101(0))),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(9014,plain,
% 217.99/140.54 ((~(v124(constB81, 0) <=> b101(0))) | v124(constB81, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[9013, 2042])).
% 217.99/140.54 tff(9015,plain,
% 217.99/140.54 (v124(constB81, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[9014, 9012])).
% 217.99/140.54 tff(9016,plain,
% 217.99/140.54 ((~(v121(constB81, 0) <=> v124(constB81, 0))) | v121(constB81, 0) | (~v124(constB81, 0))),
% 217.99/140.54 inference(tautology,[status(thm)],[])).
% 217.99/140.54 tff(9017,plain,
% 217.99/140.54 ((~(v121(constB81, 0) <=> v124(constB81, 0))) | v121(constB81, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[9016, 9015])).
% 217.99/140.54 tff(9018,plain,
% 217.99/140.54 (v121(constB81, 0)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[9017, 3073])).
% 217.99/140.54 tff(9019,plain,
% 217.99/140.54 (v110(constB81) | v117(constB81)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[3493, 9002])).
% 217.99/140.54 tff(9020,plain,
% 217.99/140.54 (v109(constB81)),
% 217.99/140.54 inference(unit_resolution,[status(thm)],[2921, 9019, 506])).
% 217.99/140.54 tff(9021,plain,
% 217.99/140.54 (v109(constB81) | v118(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2923, 9020])).
% 217.99/140.55 tff(9022,plain,
% 217.99/140.55 (v108(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2926, 9021])).
% 217.99/140.55 tff(9023,plain,
% 217.99/140.55 (v108(constB81) | v119(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2928, 9022])).
% 217.99/140.55 tff(9024,plain,
% 217.99/140.55 (v107(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2931, 9023])).
% 217.99/140.55 tff(9025,plain,
% 217.99/140.55 (~((~v107(constB81)) | (~v120(constB81)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2939, 9024])).
% 217.99/140.55 tff(9026,plain,
% 217.99/140.55 (v106(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2942, 9025])).
% 217.99/140.55 tff(9027,plain,
% 217.99/140.55 (v105(constB81) | v106(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2944, 9026])).
% 217.99/140.55 tff(9028,plain,
% 217.99/140.55 (v102(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2947, 9027])).
% 217.99/140.55 tff(9029,plain,
% 217.99/140.55 (v104(constB82)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2950, 9028])).
% 217.99/140.55 tff(9030,plain,
% 217.99/140.55 (~((~v95(constB82)) | (~v104(constB82)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2981, 9029])).
% 217.99/140.55 tff(9031,plain,
% 217.99/140.55 (v94(constB82)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2984, 9030])).
% 217.99/140.55 tff(9032,plain,
% 217.99/140.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2992, 9031])).
% 217.99/140.55 tff(9033,plain,
% 217.99/140.55 (v84(constB82, 0) <=> v123(constB82, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3125, 9032])).
% 217.99/140.55 tff(9034,plain,
% 217.99/140.55 ((~(v84(constB82, 0) <=> v123(constB82, 0))) | v84(constB82, 0) | (~v123(constB82, 0))),
% 217.99/140.55 inference(tautology,[status(thm)],[])).
% 217.99/140.55 tff(9035,plain,
% 217.99/140.55 ((~(v84(constB82, 0) <=> v123(constB82, 0))) | (~v123(constB82, 0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9034, 945])).
% 217.99/140.55 tff(9036,plain,
% 217.99/140.55 (~v123(constB82, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9035, 9033])).
% 217.99/140.55 tff(9037,plain,
% 217.99/140.55 ((~(v123(constB82, 0) <=> v121(constB81, 0))) | v123(constB82, 0) | (~v121(constB81, 0))),
% 217.99/140.55 inference(tautology,[status(thm)],[])).
% 217.99/140.55 tff(9038,plain,
% 217.99/140.55 ((~(v123(constB82, 0) <=> v121(constB81, 0))) | (~v121(constB81, 0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9037, 9036])).
% 217.99/140.55 tff(9039,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9038, 9018, 3082])).
% 217.99/140.55 tff(9040,plain,((~v117(constB81)) | v84(constB82, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9041,plain,
% 217.99/140.55 (~v117(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9040, 945])).
% 217.99/140.55 tff(9042,assumption,(~v94(constB82)), introduced(assumption)).
% 217.99/140.55 tff(9043,plain,
% 217.99/140.55 ((~v95(constB82)) | (~v104(constB82))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2984, 9042])).
% 217.99/140.55 tff(9044,plain,
% 217.99/140.55 (~v104(constB82)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2981, 9043])).
% 217.99/140.55 tff(9045,plain,
% 217.99/140.55 (~v102(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2950, 9044])).
% 217.99/140.55 tff(9046,plain,
% 217.99/140.55 (~(v105(constB81) | v106(constB81))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2947, 9045])).
% 217.99/140.55 tff(9047,plain,
% 217.99/140.55 (~v106(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2944, 9046])).
% 217.99/140.55 tff(9048,plain,
% 217.99/140.55 ((~v107(constB81)) | (~v120(constB81))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2942, 9047])).
% 217.99/140.55 tff(9049,plain,
% 217.99/140.55 (~v107(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2939, 9048])).
% 217.99/140.55 tff(9050,plain,
% 217.99/140.55 (~(v108(constB81) | v119(constB81))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2931, 9049])).
% 217.99/140.55 tff(9051,plain,
% 217.99/140.55 (~v119(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3471, 9050])).
% 217.99/140.55 tff(9052,plain,
% 217.99/140.55 ((~(v119(constB81) <=> (~(v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2)))))) | (v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3473, 9051])).
% 217.99/140.55 tff(9053,plain,
% 217.99/140.55 (v84(constB81, 0) | (~v84(constB81, 1)) | (~v84(constB81, 2))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9052, 320])).
% 217.99/140.55 tff(9054,plain,
% 217.99/140.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v84(constB81, B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[739, 9042])).
% 217.99/140.55 tff(9055,plain,
% 217.99/140.55 (v84(constB82, 0) <=> v84(constB81, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[815, 9054])).
% 217.99/140.55 tff(9056,plain,
% 217.99/140.55 ((~(v84(constB82, 0) <=> v84(constB81, 0))) | (~v84(constB81, 0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[817, 945])).
% 217.99/140.55 tff(9057,plain,
% 217.99/140.55 (~v84(constB81, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9056, 9055])).
% 217.99/140.55 tff(9058,plain,
% 217.99/140.55 (~v108(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2928, 9050])).
% 217.99/140.55 tff(9059,plain,
% 217.99/140.55 (~(v109(constB81) | v118(constB81))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2926, 9058])).
% 217.99/140.55 tff(9060,plain,
% 217.99/140.55 (~v109(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2923, 9059])).
% 217.99/140.55 tff(9061,plain,
% 217.99/140.55 (~(v110(constB81) | v117(constB81))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2921, 9060, 506])).
% 217.99/140.55 tff(9062,plain,
% 217.99/140.55 (~v110(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2919, 9061])).
% 217.99/140.55 tff(9063,plain,
% 217.99/140.55 ((~(v110(constB81) <=> (v111(constB81) | v116(constB81)))) | (~(v111(constB81) | v116(constB81)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2916, 9062])).
% 217.99/140.55 tff(9064,plain,
% 217.99/140.55 (~(v111(constB81) | v116(constB81))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9063, 508])).
% 217.99/140.55 tff(9065,plain,
% 217.99/140.55 (~v111(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3100, 9064])).
% 217.99/140.55 tff(9066,plain,
% 217.99/140.55 ((~(v111(constB81) <=> (v112(constB81) | v115(constB81)))) | (~(v112(constB81) | v115(constB81)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3102, 9065])).
% 217.99/140.55 tff(9067,plain,
% 217.99/140.55 (~(v112(constB81) | v115(constB81))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9066, 576])).
% 217.99/140.55 tff(9068,plain,
% 217.99/140.55 (~v112(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3092, 9067])).
% 217.99/140.55 tff(9069,plain,
% 217.99/140.55 ((~(v112(constB81) <=> (v113(constB81) | v114(constB81)))) | (~(v113(constB81) | v114(constB81)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3089, 9068])).
% 217.99/140.55 tff(9070,plain,
% 217.99/140.55 (~(v113(constB81) | v114(constB81))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9069, 578])).
% 217.99/140.55 tff(9071,plain,
% 217.99/140.55 (~v113(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3488, 9070])).
% 217.99/140.55 tff(9072,plain,
% 217.99/140.55 (v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3490, 9071, 599])).
% 217.99/140.55 tff(9073,plain,
% 217.99/140.55 (~v115(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3483, 9067])).
% 217.99/140.55 tff(9074,plain,
% 217.99/140.55 (v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3467, 9073, 629])).
% 217.99/140.55 tff(9075,plain,
% 217.99/140.55 (v84(constB81, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3465, 9057, 9074, 9072])).
% 217.99/140.55 tff(9076,plain,
% 217.99/140.55 ((~(v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))))) | (v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3495, 9041])).
% 217.99/140.55 tff(9077,plain,
% 217.99/140.55 (v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9076, 663])).
% 217.99/140.55 tff(9078,plain,
% 217.99/140.55 (v84(constB81, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3497, 9075, 9057, 9077])).
% 217.99/140.55 tff(9079,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3500, 9078, 9075, 9057, 9053])).
% 217.99/140.55 tff(9080,plain,(v94(constB82) | v84(constB82, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9081,plain,
% 217.99/140.55 (v94(constB82)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9080, 945])).
% 217.99/140.55 tff(9082,plain,
% 217.99/140.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2992, 9081])).
% 217.99/140.55 tff(9083,plain,
% 217.99/140.55 (v84(constB82, 0) <=> v123(constB82, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3125, 9082])).
% 217.99/140.55 tff(9084,plain,
% 217.99/140.55 (~v123(constB82, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9035, 9083])).
% 217.99/140.55 tff(9085,plain,
% 217.99/140.55 ((~(v123(constB82, 0) <=> v121(constB81, 0))) | (~v121(constB81, 0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9037, 9084])).
% 217.99/140.55 tff(9086,plain,
% 217.99/140.55 (~v121(constB81, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9085, 3082])).
% 217.99/140.55 tff(9087,plain,
% 217.99/140.55 ((~(v121(constB81, 0) <=> v124(constB81, 0))) | (~v124(constB81, 0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9016, 9086])).
% 217.99/140.55 tff(9088,plain,
% 217.99/140.55 (~v124(constB81, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9087, 3073])).
% 217.99/140.55 tff(9089,assumption,(~v124(constB81, 0)), introduced(assumption)).
% 217.99/140.55 tff(9090,plain,
% 217.99/140.55 ((~(v124(constB81, 0) <=> b001(0))) | v124(constB81, 0) | (~b001(0))),
% 217.99/140.55 inference(tautology,[status(thm)],[])).
% 217.99/140.55 tff(9091,plain,
% 217.99/140.55 (~(v124(constB81, 0) <=> b001(0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9090, 1940, 9089])).
% 217.99/140.55 tff(9092,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 0) <=> b001(0)))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9093,plain,
% 217.99/140.55 (($false | $false | (v124(constB81, 0) <=> b001(0))) <=> (v124(constB81, 0) <=> b001(0))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9094,plain,
% 217.99/140.55 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b001(0))) <=> ($false | $false | (v124(constB81, 0) <=> b001(0)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.55 tff(9095,plain,
% 217.99/140.55 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b001(0))) <=> (v124(constB81, 0) <=> b001(0))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9094, 9093])).
% 217.99/140.55 tff(9096,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 0) <=> b001(0)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9095])).
% 217.99/140.55 tff(9097,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 0) <=> b001(0)))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9096, 9092])).
% 217.99/140.55 tff(9098,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b001(0)))),
% 217.99/140.55 inference(quant_inst,[status(thm)],[])).
% 217.99/140.55 tff(9099,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 0) <=> b001(0))),
% 217.99/140.55 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 217.99/140.55 tff(9100,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9099, 8894, 9091])).
% 217.99/140.55 tff(9101,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | v124(constB81, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9102,plain,
% 217.99/140.55 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9101, 9088])).
% 217.99/140.55 tff(9103,plain,
% 217.99/140.55 ((~(v124(constB81, 0) <=> b011(0))) | v124(constB81, 0) | (~b011(0))),
% 217.99/140.55 inference(tautology,[status(thm)],[])).
% 217.99/140.55 tff(9104,plain,
% 217.99/140.55 (~(v124(constB81, 0) <=> b011(0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9103, 2025, 9089])).
% 217.99/140.55 tff(9105,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | (v124(constB81, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | (v124(constB81, 0) <=> b011(0)))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9106,plain,
% 217.99/140.55 (($false | $false | (v124(constB81, 0) <=> b011(0))) <=> (v124(constB81, 0) <=> b011(0))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9107,plain,
% 217.99/140.55 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b011(0))) <=> ($false | $false | (v124(constB81, 0) <=> b011(0)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.55 tff(9108,plain,
% 217.99/140.55 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b011(0))) <=> (v124(constB81, 0) <=> b011(0))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9107, 9106])).
% 217.99/140.55 tff(9109,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | (v124(constB81, 0) <=> b011(0)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9108])).
% 217.99/140.55 tff(9110,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | (v124(constB81, 0) <=> b011(0)))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9109, 9105])).
% 217.99/140.55 tff(9111,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB81, 0) <=> b011(0)))),
% 217.99/140.55 inference(quant_inst,[status(thm)],[])).
% 217.99/140.55 tff(9112,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | (v124(constB81, 0) <=> b011(0))),
% 217.99/140.55 inference(modus_ponens,[status(thm)],[9111, 9110])).
% 217.99/140.55 tff(9113,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9112, 3557, 9104])).
% 217.99/140.55 tff(9114,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))) | v124(constB81, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9115,plain,
% 217.99/140.55 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9114, 9088])).
% 217.99/140.55 tff(9116,plain,
% 217.99/140.55 ((~(v118(constB81) <=> (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2)))))) | (~v118(constB81))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[503, 1210])).
% 217.99/140.55 tff(9117,plain,
% 217.99/140.55 (~v118(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9116, 396])).
% 217.99/140.55 tff(9118,plain,
% 217.99/140.55 ((~(v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1)))))) | (~v116(constB81))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[573, 3632])).
% 217.99/140.55 tff(9119,plain,
% 217.99/140.55 (~v116(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9118, 528])).
% 217.99/140.55 tff(9120,plain,
% 217.99/140.55 ((~(v114(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))))) | (~v114(constB81))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[583, 1208])).
% 217.99/140.55 tff(9121,plain,
% 217.99/140.55 (~v114(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9120, 580])).
% 217.99/140.55 tff(9122,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))), introduced(assumption)).
% 217.99/140.55 tff(9123,plain,
% 217.99/140.55 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9124,plain,
% 217.99/140.55 (((~v113(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9125,plain,
% 217.99/140.55 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9124])).
% 217.99/140.55 tff(9126,plain,
% 217.99/140.55 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9125, 9123])).
% 217.99/140.55 tff(9127,plain,
% 217.99/140.55 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB81)) | ![B: $int] : ((v124(constB81, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.55 inference(quant_inst,[status(thm)],[])).
% 217.99/140.55 tff(9128,plain,
% 217.99/140.55 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB81)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))),
% 217.99/140.55 inference(modus_ponens,[status(thm)],[9127, 9126])).
% 217.99/140.55 tff(9129,plain,
% 217.99/140.55 (~v113(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9128, 2117, 9122])).
% 217.99/140.55 tff(9130,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))), introduced(assumption)).
% 217.99/140.55 tff(9131,plain,
% 217.99/140.55 (~v115(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3574, 2144, 9130])).
% 217.99/140.55 tff(9132,assumption,(~v117(constB81)), introduced(assumption)).
% 217.99/140.55 tff(9133,plain,
% 217.99/140.55 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB81) | v114(constB81) | v115(constB81) | v116(constB81) | v117(constB81) | v118(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB81) | v114(constB81) | v115(constB81) | v116(constB81) | v117(constB81) | v118(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9134,plain,
% 217.99/140.55 ((v118(constB81) | v117(constB81) | v116(constB81) | v115(constB81) | v114(constB81) | v113(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) <=> (v113(constB81) | v114(constB81) | v115(constB81) | v116(constB81) | v117(constB81) | v118(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9135,plain,
% 217.99/140.55 (^[B: $int] : rewrite(((v124(constB81, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))))),
% 217.99/140.55 inference(bind,[status(th)],[])).
% 217.99/140.55 tff(9136,plain,
% 217.99/140.55 (![B: $int] : ((v124(constB81, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))),
% 217.99/140.55 inference(quant_intro,[status(thm)],[9135])).
% 217.99/140.55 tff(9137,plain,
% 217.99/140.55 ((v118(constB81) | v117(constB81) | v116(constB81) | v115(constB81) | v114(constB81) | v113(constB81) | ![B: $int] : ((v124(constB81, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB81) | v117(constB81) | v116(constB81) | v115(constB81) | v114(constB81) | v113(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9136])).
% 217.99/140.55 tff(9138,plain,
% 217.99/140.55 ((v118(constB81) | v117(constB81) | v116(constB81) | v115(constB81) | v114(constB81) | v113(constB81) | ![B: $int] : ((v124(constB81, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v113(constB81) | v114(constB81) | v115(constB81) | v116(constB81) | v117(constB81) | v118(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9137, 9134])).
% 217.99/140.55 tff(9139,plain,
% 217.99/140.55 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB81) | v117(constB81) | v116(constB81) | v115(constB81) | v114(constB81) | v113(constB81) | ![B: $int] : ((v124(constB81, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB81) | v114(constB81) | v115(constB81) | v116(constB81) | v117(constB81) | v118(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9138])).
% 217.99/140.55 tff(9140,plain,
% 217.99/140.55 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB81) | v117(constB81) | v116(constB81) | v115(constB81) | v114(constB81) | v113(constB81) | ![B: $int] : ((v124(constB81, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB81) | v114(constB81) | v115(constB81) | v116(constB81) | v117(constB81) | v118(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9139, 9133])).
% 217.99/140.55 tff(9141,plain,
% 217.99/140.55 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB81) | v117(constB81) | v116(constB81) | v115(constB81) | v114(constB81) | v113(constB81) | ![B: $int] : ((v124(constB81, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.55 inference(quant_inst,[status(thm)],[])).
% 217.99/140.55 tff(9142,plain,
% 217.99/140.55 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB81) | v114(constB81) | v115(constB81) | v116(constB81) | v117(constB81) | v118(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))),
% 217.99/140.55 inference(modus_ponens,[status(thm)],[9141, 9140])).
% 217.99/140.55 tff(9143,plain,
% 217.99/140.55 (v113(constB81) | v114(constB81) | v115(constB81) | v116(constB81) | v118(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9142, 1807, 9132])).
% 217.99/140.55 tff(9144,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9143, 9131, 9129, 9122, 9121, 9119, 9117])).
% 217.99/140.55 tff(9145,plain,(v84(constB81, 0) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))) | v117(constB81) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9146,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9145, 9115, 9102, 1206, 9041])).
% 217.99/140.55 tff(9147,plain,(v84(constB82, 0) | v84(constB81, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9148,plain,
% 217.99/140.55 (v84(constB82, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9147, 9001])).
% 217.99/140.55 tff(9149,plain,
% 217.99/140.55 (v84(constB83, 0) | (~v84(constB82, 0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[971, 3069])).
% 217.99/140.55 tff(9150,plain,
% 217.99/140.55 (v84(constB83, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9149, 9148])).
% 217.99/140.55 tff(9151,plain,
% 217.99/140.55 (~v121(constB81, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3042, 8906])).
% 217.99/140.55 tff(9152,plain,
% 217.99/140.55 (~v123(constB82, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3028, 9151])).
% 217.99/140.55 tff(9153,plain,
% 217.99/140.55 (v108(constB81) | v119(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3503, 9001])).
% 217.99/140.55 tff(9154,plain,
% 217.99/140.55 (v107(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2931, 9153])).
% 217.99/140.55 tff(9155,plain,
% 217.99/140.55 (~((~v107(constB81)) | (~v120(constB81)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2939, 9154])).
% 217.99/140.55 tff(9156,plain,
% 217.99/140.55 (v106(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2942, 9155])).
% 217.99/140.55 tff(9157,plain,
% 217.99/140.55 (v105(constB81) | v106(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2944, 9156])).
% 217.99/140.55 tff(9158,plain,
% 217.99/140.55 (v102(constB81)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2947, 9157])).
% 217.99/140.55 tff(9159,plain,
% 217.99/140.55 (v104(constB82)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2950, 9158])).
% 217.99/140.55 tff(9160,plain,
% 217.99/140.55 (~((~v95(constB82)) | (~v104(constB82)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2981, 9159])).
% 217.99/140.55 tff(9161,plain,
% 217.99/140.55 (v94(constB82)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2984, 9160])).
% 217.99/140.55 tff(9162,plain,
% 217.99/140.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2992, 9161])).
% 217.99/140.55 tff(9163,plain,
% 217.99/140.55 (v84(constB82, 1) <=> v123(constB82, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3005, 9162])).
% 217.99/140.55 tff(9164,plain,
% 217.99/140.55 (~v84(constB82, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3007, 9163, 9152])).
% 217.99/140.55 tff(9165,plain,
% 217.99/140.55 (~v84(constB83, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2910, 9164])).
% 217.99/140.55 tff(9166,plain,
% 217.99/140.55 ((~(v124(constB81, 2) <=> b001(2))) | (~v124(constB81, 2)) | b001(2)),
% 217.99/140.55 inference(tautology,[status(thm)],[])).
% 217.99/140.55 tff(9167,plain,
% 217.99/140.55 (~(v124(constB81, 2) <=> b001(2))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9166, 1831, 3554])).
% 217.99/140.55 tff(9168,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 2) <=> b001(2)))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9169,plain,
% 217.99/140.55 (($false | $false | (v124(constB81, 2) <=> b001(2))) <=> (v124(constB81, 2) <=> b001(2))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9170,plain,
% 217.99/140.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB81, 2) <=> b001(2))) <=> ($false | $false | (v124(constB81, 2) <=> b001(2)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.55 tff(9171,plain,
% 217.99/140.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB81, 2) <=> b001(2))) <=> (v124(constB81, 2) <=> b001(2))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9170, 9169])).
% 217.99/140.55 tff(9172,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB81, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 2) <=> b001(2)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9171])).
% 217.99/140.55 tff(9173,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB81, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 2) <=> b001(2)))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9172, 9168])).
% 217.99/140.55 tff(9174,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB81, 2) <=> b001(2)))),
% 217.99/140.55 inference(quant_inst,[status(thm)],[])).
% 217.99/140.55 tff(9175,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (v124(constB81, 2) <=> b001(2))),
% 217.99/140.55 inference(modus_ponens,[status(thm)],[9174, 9173])).
% 217.99/140.55 tff(9176,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9175, 8894, 9167])).
% 217.99/140.55 tff(9177,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (~v124(constB81, 2))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9178,plain,
% 217.99/140.55 (~v124(constB81, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9177, 8894])).
% 217.99/140.55 tff(9179,plain,
% 217.99/140.55 (~v121(constB81, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3552, 9178])).
% 217.99/140.55 tff(9180,plain,
% 217.99/140.55 (~v123(constB82, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3538, 9179])).
% 217.99/140.55 tff(9181,assumption,(~(v84(constB82, 2) <=> v123(constB82, 2))), introduced(assumption)).
% 217.99/140.55 tff(9182,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3521, 2995, 9181])).
% 217.99/140.55 tff(9183,plain,((v84(constB82, 2) <=> v123(constB82, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB82, B) <=> v123(constB82, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9184,plain,
% 217.99/140.55 (v84(constB82, 2) <=> v123(constB82, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9183, 9162])).
% 217.99/140.55 tff(9185,plain,
% 217.99/140.55 (~v84(constB82, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3523, 9184, 9180])).
% 217.99/140.55 tff(9186,plain,
% 217.99/140.55 (~v84(constB83, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3196, 9185])).
% 217.99/140.55 tff(9187,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2879, 9186, 9165, 994, 9150])).
% 217.99/140.55 tff(9188,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))) | (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0)))) | (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9189,plain,
% 217.99/140.55 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9188, 8655, 994, 8151])).
% 217.99/140.55 tff(9190,plain,
% 217.99/140.55 (v107(constB79)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[192, 3851])).
% 217.99/140.55 tff(9191,plain,
% 217.99/140.55 (~((~v107(constB79)) | (~v120(constB79)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[178, 9190])).
% 217.99/140.55 tff(9192,plain,
% 217.99/140.55 (v106(constB79)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[136, 9191])).
% 217.99/140.55 tff(9193,plain,
% 217.99/140.55 (v105(constB79) | v106(constB79)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[121, 9192])).
% 217.99/140.55 tff(9194,plain,
% 217.99/140.55 (v102(constB79)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[119, 9193])).
% 217.99/140.55 tff(9195,plain,
% 217.99/140.55 (v104(constB80)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[107, 9194])).
% 217.99/140.55 tff(9196,plain,
% 217.99/140.55 (~((~v95(constB80)) | (~v104(constB80)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[90, 9195])).
% 217.99/140.55 tff(9197,plain,
% 217.99/140.55 (v94(constB80)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[23, 9196])).
% 217.99/140.55 tff(9198,plain,
% 217.99/140.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1708, 9197])).
% 217.99/140.55 tff(9199,assumption,(~(v84(constB80, 2) <=> v123(constB80, 2))), introduced(assumption)).
% 217.99/140.55 tff(9200,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1717, 3261, 9199])).
% 217.99/140.55 tff(9201,plain,((v84(constB80, 2) <=> v123(constB80, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9202,plain,
% 217.99/140.55 (v84(constB80, 2) <=> v123(constB80, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9201, 9198])).
% 217.99/140.55 tff(9203,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))), introduced(assumption)).
% 217.99/140.55 tff(9204,assumption,(v124(constB75, 0)), introduced(assumption)).
% 217.99/140.55 tff(9205,plain,
% 217.99/140.55 ((~(v124(constB75, 0) <=> b100(0))) | (~v124(constB75, 0)) | b100(0)),
% 217.99/140.55 inference(tautology,[status(thm)],[])).
% 217.99/140.55 tff(9206,plain,
% 217.99/140.55 (~(v124(constB75, 0) <=> b100(0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9205, 3674, 9204])).
% 217.99/140.55 tff(9207,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 0) <=> b100(0)))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9208,plain,
% 217.99/140.55 (($false | $false | (v124(constB75, 0) <=> b100(0))) <=> (v124(constB75, 0) <=> b100(0))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9209,plain,
% 217.99/140.55 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b100(0))) <=> ($false | $false | (v124(constB75, 0) <=> b100(0)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.55 tff(9210,plain,
% 217.99/140.55 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b100(0))) <=> (v124(constB75, 0) <=> b100(0))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9209, 9208])).
% 217.99/140.55 tff(9211,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 0) <=> b100(0)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9210])).
% 217.99/140.55 tff(9212,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 0) <=> b100(0)))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9211, 9207])).
% 217.99/140.55 tff(9213,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b100(0)))),
% 217.99/140.55 inference(quant_inst,[status(thm)],[])).
% 217.99/140.55 tff(9214,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 0) <=> b100(0))),
% 217.99/140.55 inference(modus_ponens,[status(thm)],[9213, 9212])).
% 217.99/140.55 tff(9215,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9214, 9203, 9206])).
% 217.99/140.55 tff(9216,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (~v124(constB75, 0))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9217,plain,
% 217.99/140.55 (~v124(constB75, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9216, 9203])).
% 217.99/140.55 tff(9218,plain,
% 217.99/140.55 (~v121(constB75, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8681, 9217])).
% 217.99/140.55 tff(9219,plain,
% 217.99/140.55 (~v123(constB76, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8684, 9218])).
% 217.99/140.55 tff(9220,plain,
% 217.99/140.55 (~v84(constB76, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8686, 9219, 8471])).
% 217.99/140.55 tff(9221,plain,
% 217.99/140.55 (~v84(constB77, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8689, 9220])).
% 217.99/140.55 tff(9222,plain,
% 217.99/140.55 (v124(constB77, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8696, 9221])).
% 217.99/140.55 tff(9223,plain,
% 217.99/140.55 (v121(constB77, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8698, 9222])).
% 217.99/140.55 tff(9224,plain,
% 217.99/140.55 (v123(constB78, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8700, 9223])).
% 217.99/140.55 tff(9225,plain,
% 217.99/140.55 (v84(constB78, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8705, 9224])).
% 217.99/140.55 tff(9226,plain,
% 217.99/140.55 ((~(v124(constB75, 2) <=> b100(2))) | v124(constB75, 2) | (~b100(2))),
% 217.99/140.55 inference(tautology,[status(thm)],[])).
% 217.99/140.55 tff(9227,plain,
% 217.99/140.55 (~(v124(constB75, 2) <=> b100(2))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9226, 2250, 8500])).
% 217.99/140.55 tff(9228,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 2) <=> b100(2)))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9229,plain,
% 217.99/140.55 (($false | $false | (v124(constB75, 2) <=> b100(2))) <=> (v124(constB75, 2) <=> b100(2))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9230,plain,
% 217.99/140.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b100(2))) <=> ($false | $false | (v124(constB75, 2) <=> b100(2)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.55 tff(9231,plain,
% 217.99/140.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b100(2))) <=> (v124(constB75, 2) <=> b100(2))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9230, 9229])).
% 217.99/140.55 tff(9232,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 2) <=> b100(2)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9231])).
% 217.99/140.55 tff(9233,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 2) <=> b100(2)))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9232, 9228])).
% 217.99/140.55 tff(9234,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB75, 2) <=> b100(2)))),
% 217.99/140.55 inference(quant_inst,[status(thm)],[])).
% 217.99/140.55 tff(9235,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 2) <=> b100(2))),
% 217.99/140.55 inference(modus_ponens,[status(thm)],[9234, 9233])).
% 217.99/140.55 tff(9236,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9235, 9203, 9227])).
% 217.99/140.55 tff(9237,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | v124(constB75, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9238,plain,
% 217.99/140.55 (v124(constB75, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9237, 9203])).
% 217.99/140.55 tff(9239,plain,
% 217.99/140.55 (v121(constB75, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8515, 9238])).
% 217.99/140.55 tff(9240,plain,
% 217.99/140.55 (v123(constB76, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8518, 9239])).
% 217.99/140.55 tff(9241,plain,
% 217.99/140.55 (v84(constB76, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8520, 9240, 8499])).
% 217.99/140.55 tff(9242,plain,
% 217.99/140.55 (v84(constB77, 2) | (~v84(constB76, 2))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1452, 8409])).
% 217.99/140.55 tff(9243,plain,
% 217.99/140.55 (v84(constB77, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9242, 9241])).
% 217.99/140.55 tff(9244,plain,
% 217.99/140.55 ((~(v124(constB75, 1) <=> b100(1))) | (~v124(constB75, 1)) | b100(1)),
% 217.99/140.55 inference(tautology,[status(thm)],[])).
% 217.99/140.55 tff(9245,plain,
% 217.99/140.55 (~(v124(constB75, 1) <=> b100(1))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9244, 2274, 8622])).
% 217.99/140.55 tff(9246,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 1) <=> b100(1)))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9247,plain,
% 217.99/140.55 (($false | $false | (v124(constB75, 1) <=> b100(1))) <=> (v124(constB75, 1) <=> b100(1))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9248,plain,
% 217.99/140.55 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b100(1))) <=> ($false | $false | (v124(constB75, 1) <=> b100(1)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.55 tff(9249,plain,
% 217.99/140.55 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b100(1))) <=> (v124(constB75, 1) <=> b100(1))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9248, 9247])).
% 217.99/140.55 tff(9250,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 1) <=> b100(1)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9249])).
% 217.99/140.55 tff(9251,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 1) <=> b100(1)))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9250, 9246])).
% 217.99/140.55 tff(9252,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB75, 1) <=> b100(1)))),
% 217.99/140.55 inference(quant_inst,[status(thm)],[])).
% 217.99/140.55 tff(9253,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (v124(constB75, 1) <=> b100(1))),
% 217.99/140.55 inference(modus_ponens,[status(thm)],[9252, 9251])).
% 217.99/140.55 tff(9254,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9253, 9203, 9245])).
% 217.99/140.55 tff(9255,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | (~v124(constB75, 1))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9256,plain,
% 217.99/140.55 (~v124(constB75, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9255, 9203])).
% 217.99/140.55 tff(9257,plain,
% 217.99/140.55 (~v121(constB75, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8549, 9256])).
% 217.99/140.55 tff(9258,plain,
% 217.99/140.55 ((~(v123(constB76, 1) <=> v121(constB75, 1))) | (~v123(constB76, 1))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8551, 9257])).
% 217.99/140.55 tff(9259,plain,
% 217.99/140.55 (~v123(constB76, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9258, 8167])).
% 217.99/140.55 tff(9260,plain,
% 217.99/140.55 ((~(v84(constB76, 1) <=> v123(constB76, 1))) | (~v84(constB76, 1))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8554, 9259])).
% 217.99/140.55 tff(9261,plain,
% 217.99/140.55 (~v84(constB76, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9260, 8524])).
% 217.99/140.55 tff(9262,plain,
% 217.99/140.55 (~v84(constB77, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8618, 9261])).
% 217.99/140.55 tff(9263,plain,
% 217.99/140.55 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8711, 1425, 3790])).
% 217.99/140.55 tff(9264,plain,
% 217.99/140.55 (v94(constB78)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1369, 9263])).
% 217.99/140.55 tff(9265,plain,
% 217.99/140.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1498, 9264])).
% 217.99/140.55 tff(9266,plain,
% 217.99/140.55 (v84(constB78, 1) <=> v123(constB78, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1631, 9265])).
% 217.99/140.55 tff(9267,assumption,(v84(constB78, 1)), introduced(assumption)).
% 217.99/140.55 tff(9268,plain,
% 217.99/140.55 ((~(v84(constB78, 1) <=> v123(constB78, 1))) | v123(constB78, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2284, 9267])).
% 217.99/140.55 tff(9269,plain,
% 217.99/140.55 (v123(constB78, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9268, 9266])).
% 217.99/140.55 tff(9270,plain,
% 217.99/140.55 ((~(v123(constB78, 1) <=> v121(constB77, 1))) | v121(constB77, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2281, 9269])).
% 217.99/140.55 tff(9271,plain,
% 217.99/140.55 (v121(constB77, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9270, 1641])).
% 217.99/140.55 tff(9272,assumption,(~v84(constB77, 1)), introduced(assumption)).
% 217.99/140.55 tff(9273,assumption,(v84(constB77, 2)), introduced(assumption)).
% 217.99/140.55 tff(9274,plain,
% 217.99/140.55 (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1466, 1425, 9273, 9272])).
% 217.99/140.55 tff(9275,plain,
% 217.99/140.55 (v117(constB77) | (v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1464, 8744])).
% 217.99/140.55 tff(9276,plain,
% 217.99/140.55 (v117(constB77)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9275, 9274])).
% 217.99/140.55 tff(9277,plain,
% 217.99/140.55 ((~v117(constB77)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2096, 2090])).
% 217.99/140.55 tff(9278,plain,
% 217.99/140.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9277, 9276])).
% 217.99/140.55 tff(9279,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 1) <=> b101(1)))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9280,plain,
% 217.99/140.55 (($false | $false | (v124(constB77, 1) <=> b101(1))) <=> (v124(constB77, 1) <=> b101(1))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9281,plain,
% 217.99/140.55 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b101(1))) <=> ($false | $false | (v124(constB77, 1) <=> b101(1)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.55 tff(9282,plain,
% 217.99/140.55 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b101(1))) <=> (v124(constB77, 1) <=> b101(1))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9281, 9280])).
% 217.99/140.55 tff(9283,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 1) <=> b101(1)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9282])).
% 217.99/140.55 tff(9284,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 1) <=> b101(1)))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9283, 9279])).
% 217.99/140.55 tff(9285,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB77, 1) <=> b101(1)))),
% 217.99/140.55 inference(quant_inst,[status(thm)],[])).
% 217.99/140.55 tff(9286,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 1) <=> b101(1))),
% 217.99/140.55 inference(modus_ponens,[status(thm)],[9285, 9284])).
% 217.99/140.55 tff(9287,plain,
% 217.99/140.55 (v124(constB77, 1) <=> b101(1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9286, 9278])).
% 217.99/140.55 tff(9288,plain,
% 217.99/140.55 ((~(v124(constB77, 1) <=> b101(1))) | (~v124(constB77, 1)) | b101(1)),
% 217.99/140.55 inference(tautology,[status(thm)],[])).
% 217.99/140.55 tff(9289,plain,
% 217.99/140.55 ((~(v124(constB77, 1) <=> b101(1))) | (~v124(constB77, 1))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9288, 2330])).
% 217.99/140.55 tff(9290,plain,
% 217.99/140.55 (~v124(constB77, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9289, 9287])).
% 217.99/140.55 tff(9291,plain,
% 217.99/140.55 ((~(v121(constB77, 1) <=> v124(constB77, 1))) | (~v121(constB77, 1))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2278, 9290])).
% 217.99/140.55 tff(9292,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9291, 9271, 1650])).
% 217.99/140.55 tff(9293,plain,(v84(constB77, 0) | (~v84(constB78, 1)) | (~v84(constB77, 2)) | v84(constB77, 1) | (~v84(constB78, 0))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9294,plain,
% 217.99/140.55 (~v84(constB78, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9293, 9262, 9243, 9221, 9225])).
% 217.99/140.55 tff(9295,plain,
% 217.99/140.55 (~v84(constB79, 1)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8873, 9294])).
% 217.99/140.55 tff(9296,plain,
% 217.99/140.55 (v84(constB79, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1202, 9225])).
% 217.99/140.55 tff(9297,plain,
% 217.99/140.55 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8711, 9225, 9221])).
% 217.99/140.55 tff(9298,plain,
% 217.99/140.55 (v94(constB78)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1369, 9297])).
% 217.99/140.55 tff(9299,plain,
% 217.99/140.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1498, 9298])).
% 217.99/140.55 tff(9300,plain,
% 217.99/140.55 (v84(constB78, 2) <=> v123(constB78, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1507, 9299])).
% 217.99/140.55 tff(9301,plain,
% 217.99/140.55 (v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2159, 9221])).
% 217.99/140.55 tff(9302,assumption,(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0)), introduced(assumption)).
% 217.99/140.55 tff(9303,assumption,(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))), introduced(assumption)).
% 217.99/140.55 tff(9304,plain,
% 217.99/140.55 (~v84(constB77, 0)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[8560, 9272, 9273, 9303])).
% 217.99/140.55 tff(9305,plain,
% 217.99/140.55 ($false),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1466, 9304, 9272, 9273, 9302])).
% 217.99/140.55 tff(9306,plain,(v84(constB77, 1) | (~v84(constB77, 2)) | (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))) | (~(v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.55 tff(9307,plain,
% 217.99/140.55 (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9306, 9262, 9301, 9243])).
% 217.99/140.55 tff(9308,plain,
% 217.99/140.55 (v117(constB77)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9275, 9307])).
% 217.99/140.55 tff(9309,plain,
% 217.99/140.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9277, 9308])).
% 217.99/140.55 tff(9310,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 2) <=> b101(2)))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9311,plain,
% 217.99/140.55 (($false | $false | (v124(constB77, 2) <=> b101(2))) <=> (v124(constB77, 2) <=> b101(2))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9312,plain,
% 217.99/140.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b101(2))) <=> ($false | $false | (v124(constB77, 2) <=> b101(2)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.55 tff(9313,plain,
% 217.99/140.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b101(2))) <=> (v124(constB77, 2) <=> b101(2))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9312, 9311])).
% 217.99/140.55 tff(9314,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 2) <=> b101(2)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9313])).
% 217.99/140.55 tff(9315,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 2) <=> b101(2)))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9314, 9310])).
% 217.99/140.55 tff(9316,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB77, 2) <=> b101(2)))),
% 217.99/140.55 inference(quant_inst,[status(thm)],[])).
% 217.99/140.55 tff(9317,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))) | (v124(constB77, 2) <=> b101(2))),
% 217.99/140.55 inference(modus_ponens,[status(thm)],[9316, 9315])).
% 217.99/140.55 tff(9318,plain,
% 217.99/140.55 (v124(constB77, 2) <=> b101(2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9317, 9309])).
% 217.99/140.55 tff(9319,plain,
% 217.99/140.55 ((~(v124(constB77, 2) <=> b101(2))) | v124(constB77, 2) | (~b101(2))),
% 217.99/140.55 inference(tautology,[status(thm)],[])).
% 217.99/140.55 tff(9320,plain,
% 217.99/140.55 ((~(v124(constB77, 2) <=> b101(2))) | v124(constB77, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9319, 2354])).
% 217.99/140.55 tff(9321,plain,
% 217.99/140.55 (v124(constB77, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9320, 9318])).
% 217.99/140.55 tff(9322,plain,
% 217.99/140.55 (v121(constB77, 2) | (~v124(constB77, 2))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1602, 8834])).
% 217.99/140.55 tff(9323,plain,
% 217.99/140.55 (v121(constB77, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9322, 9321])).
% 217.99/140.55 tff(9324,plain,
% 217.99/140.55 ((~(v123(constB78, 2) <=> v121(constB77, 2))) | v123(constB78, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1605, 9323])).
% 217.99/140.55 tff(9325,plain,
% 217.99/140.55 (v123(constB78, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9324, 1543])).
% 217.99/140.55 tff(9326,plain,
% 217.99/140.55 ((~(v84(constB78, 2) <=> v123(constB78, 2))) | v84(constB78, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1608, 9325])).
% 217.99/140.55 tff(9327,plain,
% 217.99/140.55 (v84(constB78, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9326, 9300])).
% 217.99/140.55 tff(9328,plain,
% 217.99/140.55 (v84(constB79, 2) | (~v84(constB78, 2))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[1611, 8843])).
% 217.99/140.55 tff(9329,plain,
% 217.99/140.55 (v84(constB79, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9328, 9327])).
% 217.99/140.55 tff(9330,plain,
% 217.99/140.55 (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[491, 9329, 9296, 9295])).
% 217.99/140.55 tff(9331,plain,
% 217.99/140.55 (v118(constB79)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[442, 9330])).
% 217.99/140.55 tff(9332,plain,
% 217.99/140.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[3306, 9331])).
% 217.99/140.55 tff(9333,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 2) <=> b110(2)))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9334,plain,
% 217.99/140.55 (($false | $false | (v124(constB79, 2) <=> b110(2))) <=> (v124(constB79, 2) <=> b110(2))),
% 217.99/140.55 inference(rewrite,[status(thm)],[])).
% 217.99/140.55 tff(9335,plain,
% 217.99/140.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b110(2))) <=> ($false | $false | (v124(constB79, 2) <=> b110(2)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.55 tff(9336,plain,
% 217.99/140.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b110(2))) <=> (v124(constB79, 2) <=> b110(2))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9335, 9334])).
% 217.99/140.55 tff(9337,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 2) <=> b110(2)))),
% 217.99/140.55 inference(monotonicity,[status(thm)],[9336])).
% 217.99/140.55 tff(9338,plain,
% 217.99/140.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 2) <=> b110(2)))),
% 217.99/140.55 inference(transitivity,[status(thm)],[9337, 9333])).
% 217.99/140.55 tff(9339,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB79, 2) <=> b110(2)))),
% 217.99/140.55 inference(quant_inst,[status(thm)],[])).
% 217.99/140.55 tff(9340,plain,
% 217.99/140.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))) | (v124(constB79, 2) <=> b110(2))),
% 217.99/140.55 inference(modus_ponens,[status(thm)],[9339, 9338])).
% 217.99/140.55 tff(9341,plain,
% 217.99/140.55 (v124(constB79, 2) <=> b110(2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9340, 9332])).
% 217.99/140.55 tff(9342,plain,
% 217.99/140.55 ((~(v124(constB79, 2) <=> b110(2))) | v124(constB79, 2) | (~b110(2))),
% 217.99/140.55 inference(tautology,[status(thm)],[])).
% 217.99/140.55 tff(9343,plain,
% 217.99/140.55 ((~(v124(constB79, 2) <=> b110(2))) | v124(constB79, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9342, 1598])).
% 217.99/140.55 tff(9344,plain,
% 217.99/140.55 (v124(constB79, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[9343, 9341])).
% 217.99/140.55 tff(9345,plain,
% 217.99/140.55 ((~(v121(constB79, 2) <=> v124(constB79, 2))) | v121(constB79, 2)),
% 217.99/140.55 inference(unit_resolution,[status(thm)],[2358, 9344])).
% 217.99/140.56 tff(9346,plain,
% 217.99/140.56 (v121(constB79, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9345, 1750])).
% 217.99/140.56 tff(9347,plain,
% 217.99/140.56 ((~(v123(constB80, 2) <=> v121(constB79, 2))) | v123(constB80, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[2361, 9346])).
% 217.99/140.56 tff(9348,plain,
% 217.99/140.56 (v123(constB80, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9347, 1734])).
% 217.99/140.56 tff(9349,plain,
% 217.99/140.56 (v84(constB80, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[2364, 9348, 9202])).
% 217.99/140.56 tff(9350,plain,
% 217.99/140.56 ((~(v84(constB81, 2) <=> v84(constB80, 2))) | v84(constB81, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[568, 9349])).
% 217.99/140.56 tff(9351,plain,
% 217.99/140.56 (v84(constB81, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9350, 541])).
% 217.99/140.56 tff(9352,plain,
% 217.99/140.56 (v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[571, 9351])).
% 217.99/140.56 tff(9353,plain,
% 217.99/140.56 ((~v116(constB81)) | (~(v84(constB81, 2) | (~v84(constB81, 0)) | (~v84(constB81, 1))))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[573, 2663])).
% 217.99/140.56 tff(9354,plain,
% 217.99/140.56 (~v116(constB81)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9353, 9352])).
% 217.99/140.56 tff(9355,plain,
% 217.99/140.56 (v84(constB81, 2) | v84(constB81, 0) | (~v84(constB81, 1))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3578, 9351])).
% 217.99/140.56 tff(9356,plain,
% 217.99/140.56 (~v115(constB81)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[632, 9355, 629])).
% 217.99/140.56 tff(9357,plain,
% 217.99/140.56 (v84(constB79, 0) | (~v84(constB79, 2)) | (~v84(constB79, 1))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3242, 9296])).
% 217.99/140.56 tff(9358,plain,
% 217.99/140.56 (~v119(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3245, 9357])).
% 217.99/140.56 tff(9359,plain,
% 217.99/140.56 (v108(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3255, 9358, 3851])).
% 217.99/140.56 tff(9360,plain,
% 217.99/140.56 (v109(constB79) | v118(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3258, 9359])).
% 217.99/140.56 tff(9361,plain,
% 217.99/140.56 (v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3459, 9360, 9198, 9296])).
% 217.99/140.56 tff(9362,plain,
% 217.99/140.56 ((~(v113(constB81) <=> (~(v84(constB81, 0) | v84(constB81, 1) | v84(constB81, 2))))) | (~v113(constB81))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[602, 9361])).
% 217.99/140.56 tff(9363,plain,
% 217.99/140.56 (~v113(constB81)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9362, 599])).
% 217.99/140.56 tff(9364,plain,
% 217.99/140.56 (v84(constB80, 1) <=> v123(constB80, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3264, 9198])).
% 217.99/140.56 tff(9365,plain,
% 217.99/140.56 (v124(constB79, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3295, 9332])).
% 217.99/140.56 tff(9366,plain,
% 217.99/140.56 (v121(constB79, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3280, 9365])).
% 217.99/140.56 tff(9367,plain,
% 217.99/140.56 (v123(constB80, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3275, 9366])).
% 217.99/140.56 tff(9368,plain,
% 217.99/140.56 (v84(constB80, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[2603, 9367, 9364])).
% 217.99/140.56 tff(9369,plain,
% 217.99/140.56 (v84(constB81, 1) | (~v84(constB80, 1))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[498, 8146])).
% 217.99/140.56 tff(9370,plain,
% 217.99/140.56 (v84(constB81, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9369, 9368])).
% 217.99/140.56 tff(9371,plain,
% 217.99/140.56 ((v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))) | (~v84(constB81, 1))),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9372,plain,
% 217.99/140.56 (v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9371, 9370])).
% 217.99/140.56 tff(9373,assumption,(~(v114(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0)))))), introduced(assumption)).
% 217.99/140.56 tff(9374,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[579, 298, 9373])).
% 217.99/140.56 tff(9375,plain,(v114(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9376,plain,
% 217.99/140.56 ((~v114(constB81)) | (~(v84(constB81, 1) | v84(constB81, 2) | (~v84(constB81, 0))))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[583, 9375])).
% 217.99/140.56 tff(9377,plain,
% 217.99/140.56 (~v114(constB81)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9376, 9372])).
% 217.99/140.56 tff(9378,plain,
% 217.99/140.56 ((v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))) | (~v84(constB81, 1))),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9379,plain,
% 217.99/140.56 (v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9378, 9370])).
% 217.99/140.56 tff(9380,plain,
% 217.99/140.56 ((~(v117(constB81) <=> (~(v84(constB81, 1) | v84(constB81, 0) | (~v84(constB81, 2)))))) | (~v117(constB81))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[666, 9379])).
% 217.99/140.56 tff(9381,plain,
% 217.99/140.56 (~v117(constB81)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9380, 663])).
% 217.99/140.56 tff(9382,plain,
% 217.99/140.56 (v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[501, 9370])).
% 217.99/140.56 tff(9383,plain,
% 217.99/140.56 ((~v118(constB81)) | (~(v84(constB81, 1) | (~v84(constB81, 0)) | (~v84(constB81, 2))))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[503, 3726])).
% 217.99/140.56 tff(9384,plain,
% 217.99/140.56 (~v118(constB81)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9383, 9382])).
% 217.99/140.56 tff(9385,plain,
% 217.99/140.56 (v115(constB81) | v116(constB81)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9142, 1807, 9384, 9381, 9122, 9377, 9363])).
% 217.99/140.56 tff(9386,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9385, 9356, 9354])).
% 217.99/140.56 tff(9387,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))) | (~(v108(constB79) | v119(constB79)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9388,plain,
% 217.99/140.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9387, 8666, 9189, 3850])).
% 217.99/140.56 tff(9389,assumption,(v116(constB75)), introduced(assumption)).
% 217.99/140.56 tff(9390,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))), introduced(assumption)).
% 217.99/140.56 tff(9391,plain,
% 217.99/140.56 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B))))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9392,plain,
% 217.99/140.56 (((~v116(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B))))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9393,plain,
% 217.99/140.56 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))))),
% 217.99/140.56 inference(monotonicity,[status(thm)],[9392])).
% 217.99/140.56 tff(9394,plain,
% 217.99/140.56 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B))))),
% 217.99/140.56 inference(transitivity,[status(thm)],[9393, 9391])).
% 217.99/140.56 tff(9395,plain,
% 217.99/140.56 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.56 inference(quant_inst,[status(thm)],[])).
% 217.99/140.56 tff(9396,plain,
% 217.99/140.56 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))),
% 217.99/140.56 inference(modus_ponens,[status(thm)],[9395, 9394])).
% 217.99/140.56 tff(9397,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9396, 2230, 9390, 9389])).
% 217.99/140.56 tff(9398,plain,((~v116(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9399,plain,
% 217.99/140.56 (~v116(constB75)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9398, 9388])).
% 217.99/140.56 tff(9400,plain,
% 217.99/140.56 (v84(constB76, 0) <=> v123(constB76, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[8457, 8666])).
% 217.99/140.56 tff(9401,plain,
% 217.99/140.56 (v84(constB80, 1) <=> v123(constB80, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3264, 8655])).
% 217.99/140.56 tff(9402,plain,
% 217.99/140.56 (~v123(constB80, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[2603, 9401, 3654])).
% 217.99/140.56 tff(9403,plain,
% 217.99/140.56 (~v121(constB79, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3275, 9402])).
% 217.99/140.56 tff(9404,plain,
% 217.99/140.56 (~v124(constB79, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3280, 9403])).
% 217.99/140.56 tff(9405,plain,
% 217.99/140.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b110(B)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3295, 9404])).
% 217.99/140.56 tff(9406,plain,
% 217.99/140.56 (~v118(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3306, 9405])).
% 217.99/140.56 tff(9407,plain,
% 217.99/140.56 (~(v124(constB79, 1) <=> b011(1))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[2594, 2593, 3282])).
% 217.99/140.56 tff(9408,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))), introduced(assumption)).
% 217.99/140.56 tff(9409,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[2589, 9408, 9407])).
% 217.99/140.56 tff(9410,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))) | v124(constB79, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9411,plain,
% 217.99/140.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9410, 9404])).
% 217.99/140.56 tff(9412,assumption,(v115(constB79)), introduced(assumption)).
% 217.99/140.56 tff(9413,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))), introduced(assumption)).
% 217.99/140.56 tff(9414,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[2555, 2144, 9413, 9412])).
% 217.99/140.56 tff(9415,plain,((~v115(constB79)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB79, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9416,plain,
% 217.99/140.56 (~v115(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9415, 9411])).
% 217.99/140.56 tff(9417,plain,
% 217.99/140.56 ((~v114(constB79)) | (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[1780, 482])).
% 217.99/140.56 tff(9418,plain,
% 217.99/140.56 (~v114(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9417, 488])).
% 217.99/140.56 tff(9419,plain,
% 217.99/140.56 (~(v113(constB79) | v114(constB79))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3413, 9418, 3412])).
% 217.99/140.56 tff(9420,plain,
% 217.99/140.56 ((~(v112(constB79) <=> (v113(constB79) | v114(constB79)))) | (~v112(constB79))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3415, 9419])).
% 217.99/140.56 tff(9421,plain,
% 217.99/140.56 (~v112(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9420, 445])).
% 217.99/140.56 tff(9422,plain,
% 217.99/140.56 (v108(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3255, 3246, 3851])).
% 217.99/140.56 tff(9423,plain,
% 217.99/140.56 (v109(constB79) | v118(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3258, 9422])).
% 217.99/140.56 tff(9424,plain,
% 217.99/140.56 (v109(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3308, 9423, 8961])).
% 217.99/140.56 tff(9425,plain,
% 217.99/140.56 (v110(constB79) | v117(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3310, 9424, 458])).
% 217.99/140.56 tff(9426,plain,
% 217.99/140.56 (v84(constB79, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[493, 321, 488, 8962])).
% 217.99/140.56 tff(9427,plain,
% 217.99/140.56 (v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[1757, 9426])).
% 217.99/140.56 tff(9428,plain,
% 217.99/140.56 ((~(v117(constB79) <=> (~(v84(constB79, 1) | v84(constB79, 0) | (~v84(constB79, 2)))))) | (~v117(constB79))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[1759, 9427])).
% 217.99/140.56 tff(9429,plain,
% 217.99/140.56 (~v117(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9428, 1218])).
% 217.99/140.56 tff(9430,plain,
% 217.99/140.56 (v110(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3404, 9429, 9425])).
% 217.99/140.56 tff(9431,plain,
% 217.99/140.56 (v111(constB79) | v116(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3406, 9430, 449])).
% 217.99/140.56 tff(9432,plain,
% 217.99/140.56 ((~(v111(constB79) | v116(constB79))) | v111(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3427, 8969])).
% 217.99/140.56 tff(9433,plain,
% 217.99/140.56 (v111(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9432, 9431])).
% 217.99/140.56 tff(9434,plain,
% 217.99/140.56 ((~(v111(constB79) <=> (v112(constB79) | v115(constB79)))) | (v112(constB79) | v115(constB79))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3425, 9433])).
% 217.99/140.56 tff(9435,plain,
% 217.99/140.56 (v112(constB79) | v115(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9434, 447])).
% 217.99/140.56 tff(9436,assumption,(~v115(constB79)), introduced(assumption)).
% 217.99/140.56 tff(9437,plain,
% 217.99/140.56 ((~(v112(constB79) | v115(constB79))) | v112(constB79)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3422, 9436])).
% 217.99/140.56 tff(9438,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9437, 9435, 9421])).
% 217.99/140.56 tff(9439,plain,((~v84(constB79, 0)) | v115(constB79) | v116(constB79) | v118(constB79) | (~(v108(constB79) | v119(constB79))) | (~(v84(constB79, 1) | v84(constB79, 2) | (~v84(constB79, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9440,plain,
% 217.99/140.56 (~v84(constB79, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9439, 9416, 8969, 8658, 3850, 9406])).
% 217.99/140.56 tff(9441,plain,
% 217.99/140.56 (~v84(constB78, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[1202, 9440])).
% 217.99/140.56 tff(9442,plain,
% 217.99/140.56 (~v123(constB78, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[8705, 9441])).
% 217.99/140.56 tff(9443,plain,
% 217.99/140.56 (~v121(constB77, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[8700, 9442])).
% 217.99/140.56 tff(9444,plain,
% 217.99/140.56 (~v124(constB77, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[8698, 9443])).
% 217.99/140.56 tff(9445,plain,
% 217.99/140.56 (v84(constB77, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[8696, 9444])).
% 217.99/140.56 tff(9446,plain,
% 217.99/140.56 (v84(constB76, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[8689, 9445])).
% 217.99/140.56 tff(9447,plain,
% 217.99/140.56 (v123(constB76, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[8686, 9446, 9400])).
% 217.99/140.56 tff(9448,plain,
% 217.99/140.56 (v121(constB75, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[8684, 9447])).
% 217.99/140.56 tff(9449,plain,
% 217.99/140.56 (v124(constB75, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[8681, 9448])).
% 217.99/140.56 tff(9450,plain,
% 217.99/140.56 ((~(v124(constB75, 0) <=> b010(0))) | (~v124(constB75, 0)) | b010(0)),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9451,plain,
% 217.99/140.56 (~(v124(constB75, 0) <=> b010(0))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9450, 2437, 9204])).
% 217.99/140.56 tff(9452,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))), introduced(assumption)).
% 217.99/140.56 tff(9453,plain,
% 217.99/140.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))) | (v124(constB75, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))) | (v124(constB75, 0) <=> b010(0)))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9454,plain,
% 217.99/140.56 (($false | $false | (v124(constB75, 0) <=> b010(0))) <=> (v124(constB75, 0) <=> b010(0))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9455,plain,
% 217.99/140.56 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b010(0))) <=> ($false | $false | (v124(constB75, 0) <=> b010(0)))),
% 217.99/140.56 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.56 tff(9456,plain,
% 217.99/140.56 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b010(0))) <=> (v124(constB75, 0) <=> b010(0))),
% 217.99/140.56 inference(transitivity,[status(thm)],[9455, 9454])).
% 217.99/140.56 tff(9457,plain,
% 217.99/140.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))) | (v124(constB75, 0) <=> b010(0)))),
% 217.99/140.56 inference(monotonicity,[status(thm)],[9456])).
% 217.99/140.56 tff(9458,plain,
% 217.99/140.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))) | (v124(constB75, 0) <=> b010(0)))),
% 217.99/140.56 inference(transitivity,[status(thm)],[9457, 9453])).
% 217.99/140.56 tff(9459,plain,
% 217.99/140.56 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB75, 0) <=> b010(0)))),
% 217.99/140.56 inference(quant_inst,[status(thm)],[])).
% 217.99/140.56 tff(9460,plain,
% 217.99/140.56 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))) | (v124(constB75, 0) <=> b010(0))),
% 217.99/140.56 inference(modus_ponens,[status(thm)],[9459, 9458])).
% 217.99/140.56 tff(9461,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9460, 9452, 9451])).
% 217.99/140.56 tff(9462,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))) | (~v124(constB75, 0))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9463,plain,
% 217.99/140.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9462, 9449])).
% 217.99/140.56 tff(9464,assumption,(v114(constB75)), introduced(assumption)).
% 217.99/140.56 tff(9465,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))), introduced(assumption)).
% 217.99/140.56 tff(9466,plain,
% 217.99/140.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B))))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9467,plain,
% 217.99/140.56 (((~v114(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B))))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9468,plain,
% 217.99/140.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))))),
% 217.99/140.56 inference(monotonicity,[status(thm)],[9467])).
% 217.99/140.56 tff(9469,plain,
% 217.99/140.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B))))),
% 217.99/140.56 inference(transitivity,[status(thm)],[9468, 9466])).
% 217.99/140.56 tff(9470,plain,
% 217.99/140.56 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB75)) | ![B: $int] : ((v124(constB75, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.56 inference(quant_inst,[status(thm)],[])).
% 217.99/140.56 tff(9471,plain,
% 217.99/140.56 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))),
% 217.99/140.56 inference(modus_ponens,[status(thm)],[9470, 9469])).
% 217.99/140.56 tff(9472,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9471, 2418, 9465, 9464])).
% 217.99/140.56 tff(9473,plain,((~v114(constB75)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9474,plain,
% 217.99/140.56 (~v114(constB75)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9473, 9463])).
% 217.99/140.56 tff(9475,assumption,(~(v114(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))))), introduced(assumption)).
% 217.99/140.56 tff(9476,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[4154, 298, 9475])).
% 217.99/140.56 tff(9477,plain,(v114(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9478,plain,
% 217.99/140.56 (v114(constB75) | (v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[4693, 9477])).
% 217.99/140.56 tff(9479,plain,
% 217.99/140.56 (v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9478, 9474])).
% 217.99/140.56 tff(9480,assumption,(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))), introduced(assumption)).
% 217.99/140.56 tff(9481,assumption,(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))), introduced(assumption)).
% 217.99/140.56 tff(9482,assumption,(v84(constB75, 0)), introduced(assumption)).
% 217.99/140.56 tff(9483,plain,
% 217.99/140.56 (v84(constB75, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[4685, 4782, 9480, 9482])).
% 217.99/140.56 tff(9484,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[4795, 9483, 4782, 9482, 9481])).
% 217.99/140.56 tff(9485,plain,(v84(constB75, 1) | (~v84(constB75, 0)) | (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))) | (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9486,plain,
% 217.99/140.56 (v84(constB75, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9485, 4837, 9481, 9480])).
% 217.99/140.56 tff(9487,plain,
% 217.99/140.56 ((~(v84(constB75, 1) <=> v84(constB74, 1))) | v84(constB74, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[4822, 9486])).
% 217.99/140.56 tff(9488,plain,
% 217.99/140.56 (v84(constB74, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9487, 3915])).
% 217.99/140.56 tff(9489,plain,
% 217.99/140.56 (~v84(constB74, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5120, 9488, 4814, 4817])).
% 217.99/140.56 tff(9490,assumption,(~v116(constB75)), introduced(assumption)).
% 217.99/140.56 tff(9491,plain,
% 217.99/140.56 ((~(v116(constB75) <=> (~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))))) | ((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[4680, 9490])).
% 217.99/140.56 tff(9492,plain,
% 217.99/140.56 ((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9491, 4121])).
% 217.99/140.56 tff(9493,plain,
% 217.99/140.56 ((~((~v84(constB75, 1)) | v84(constB75, 2) | (~v84(constB75, 0)))) | v84(constB75, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[4682, 9486, 4837])).
% 217.99/140.56 tff(9494,plain,
% 217.99/140.56 (v84(constB75, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9493, 9492])).
% 217.99/140.56 tff(9495,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[4840, 9494, 9489, 8241])).
% 217.99/140.56 tff(9496,plain,((~v84(constB74, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | v116(constB75) | (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))) | (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9497,plain,
% 217.99/140.56 (~v84(constB74, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9496, 9479, 4614, 9399, 8893])).
% 217.99/140.56 tff(9498,assumption,(~v107(constB71)), introduced(assumption)).
% 217.99/140.56 tff(9499,plain,
% 217.99/140.56 ((~v107(constB71)) | (~v120(constB71))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5830, 9498])).
% 217.99/140.56 tff(9500,plain,
% 217.99/140.56 (~v106(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5835, 9499])).
% 217.99/140.56 tff(9501,plain,
% 217.99/140.56 (~(v105(constB71) | v106(constB71))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5845, 9500])).
% 217.99/140.56 tff(9502,plain,
% 217.99/140.56 (~v102(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5850, 9501])).
% 217.99/140.56 tff(9503,plain,
% 217.99/140.56 (v84(constB72, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6017, 9502])).
% 217.99/140.56 tff(9504,plain,
% 217.99/140.56 (v84(constB73, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6031, 9503])).
% 217.99/140.56 tff(9505,plain,
% 217.99/140.56 (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6038, 9504])).
% 217.99/140.56 tff(9506,plain,
% 217.99/140.56 ((~(v114(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))))) | (~v114(constB73))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6040, 9505])).
% 217.99/140.56 tff(9507,plain,
% 217.99/140.56 (~v114(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9506, 4514])).
% 217.99/140.56 tff(9508,plain,
% 217.99/140.56 (v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6043, 9504])).
% 217.99/140.56 tff(9509,plain,
% 217.99/140.56 ((~(v113(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))))) | (~v113(constB73))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6045, 9508])).
% 217.99/140.56 tff(9510,plain,
% 217.99/140.56 (~v113(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9509, 4013])).
% 217.99/140.56 tff(9511,plain,
% 217.99/140.56 (~(v113(constB73) | v114(constB73))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6048, 9510, 9507])).
% 217.99/140.56 tff(9512,plain,
% 217.99/140.56 ((~(v112(constB73) <=> (v113(constB73) | v114(constB73)))) | (~v112(constB73))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6050, 9511])).
% 217.99/140.56 tff(9513,plain,
% 217.99/140.56 (~v112(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9512, 4015])).
% 217.99/140.56 tff(9514,plain,
% 217.99/140.56 (~v104(constB72)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5860, 9502])).
% 217.99/140.56 tff(9515,plain,
% 217.99/140.56 ((~v95(constB72)) | (~v104(constB72))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5862, 9514])).
% 217.99/140.56 tff(9516,plain,
% 217.99/140.56 (~v94(constB72)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5869, 9515])).
% 217.99/140.56 tff(9517,plain,
% 217.99/140.56 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5877, 9516])).
% 217.99/140.56 tff(9518,plain,
% 217.99/140.56 (v84(constB72, 0) <=> v84(constB71, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5886, 9517])).
% 217.99/140.56 tff(9519,plain,
% 217.99/140.56 ((~(v107(constB71) <=> (v108(constB71) | v119(constB71)))) | (~(v108(constB71) | v119(constB71)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5917, 9498])).
% 217.99/140.56 tff(9520,plain,
% 217.99/140.56 (~(v108(constB71) | v119(constB71))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9519, 5172])).
% 217.99/140.56 tff(9521,plain,
% 217.99/140.56 (~v108(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5920, 9520])).
% 217.99/140.56 tff(9522,plain,
% 217.99/140.56 ((~(v108(constB71) <=> (v109(constB71) | v118(constB71)))) | (~(v109(constB71) | v118(constB71)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5922, 9521])).
% 217.99/140.56 tff(9523,plain,
% 217.99/140.56 (~(v109(constB71) | v118(constB71))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9522, 5174])).
% 217.99/140.56 tff(9524,plain,
% 217.99/140.56 (~v109(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5925, 9523])).
% 217.99/140.56 tff(9525,plain,
% 217.99/140.56 ((~(v109(constB71) <=> (v110(constB71) | v117(constB71)))) | (~(v110(constB71) | v117(constB71)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5927, 9524])).
% 217.99/140.56 tff(9526,plain,
% 217.99/140.56 (~(v110(constB71) | v117(constB71))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9525, 5176])).
% 217.99/140.56 tff(9527,plain,
% 217.99/140.56 (~v110(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5930, 9526])).
% 217.99/140.56 tff(9528,plain,
% 217.99/140.56 ((~(v110(constB71) <=> (v111(constB71) | v116(constB71)))) | (~(v111(constB71) | v116(constB71)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5932, 9527])).
% 217.99/140.56 tff(9529,plain,
% 217.99/140.56 (~(v111(constB71) | v116(constB71))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9528, 5178])).
% 217.99/140.56 tff(9530,plain,
% 217.99/140.56 (~v111(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5935, 9529])).
% 217.99/140.56 tff(9531,plain,
% 217.99/140.56 ((~(v111(constB71) <=> (v112(constB71) | v115(constB71)))) | (~(v112(constB71) | v115(constB71)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5937, 9530])).
% 217.99/140.56 tff(9532,plain,
% 217.99/140.56 (~(v112(constB71) | v115(constB71))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9531, 5180])).
% 217.99/140.56 tff(9533,plain,
% 217.99/140.56 (~v115(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5955, 9532])).
% 217.99/140.56 tff(9534,plain,
% 217.99/140.56 ((~(v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))) | (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5957, 9533])).
% 217.99/140.56 tff(9535,plain,
% 217.99/140.56 (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9534, 5713])).
% 217.99/140.56 tff(9536,plain,
% 217.99/140.56 (~v119(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5960, 9520])).
% 217.99/140.56 tff(9537,plain,
% 217.99/140.56 ((~(v119(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))))) | (v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5962, 9536])).
% 217.99/140.56 tff(9538,plain,
% 217.99/140.56 (v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9537, 5819])).
% 217.99/140.56 tff(9539,plain,
% 217.99/140.56 (~v117(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5965, 9526])).
% 217.99/140.56 tff(9540,plain,
% 217.99/140.56 ((~(v117(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))))) | (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5967, 9539])).
% 217.99/140.56 tff(9541,plain,
% 217.99/140.56 (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9540, 5742])).
% 217.99/140.56 tff(9542,plain,
% 217.99/140.56 (~v112(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5940, 9532])).
% 217.99/140.56 tff(9543,plain,
% 217.99/140.56 ((~(v112(constB71) <=> (v113(constB71) | v114(constB71)))) | (~(v113(constB71) | v114(constB71)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5942, 9542])).
% 217.99/140.56 tff(9544,plain,
% 217.99/140.56 (~(v113(constB71) | v114(constB71))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9543, 5182])).
% 217.99/140.56 tff(9545,plain,
% 217.99/140.56 (~v113(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5970, 9544])).
% 217.99/140.56 tff(9546,plain,
% 217.99/140.56 ((~(v113(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))))) | (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5972, 9545])).
% 217.99/140.56 tff(9547,plain,
% 217.99/140.56 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9546, 5696])).
% 217.99/140.56 tff(9548,plain,
% 217.99/140.56 (v84(constB71, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5991, 9547, 9541, 9538, 9535])).
% 217.99/140.56 tff(9549,plain,
% 217.99/140.56 ((~(v84(constB72, 0) <=> v84(constB71, 0))) | v84(constB72, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5888, 9548])).
% 217.99/140.56 tff(9550,plain,
% 217.99/140.56 (v84(constB72, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9549, 9518])).
% 217.99/140.56 tff(9551,plain,
% 217.99/140.56 ((~(v84(constB73, 0) <=> v84(constB72, 0))) | v84(constB73, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5891, 9550])).
% 217.99/140.56 tff(9552,plain,
% 217.99/140.56 (v84(constB73, 0)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9551, 5170])).
% 217.99/140.56 tff(9553,plain,
% 217.99/140.56 (v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6053, 9552])).
% 217.99/140.56 tff(9554,plain,
% 217.99/140.56 ((~(v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))))) | (~v115(constB73))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6055, 9553])).
% 217.99/140.56 tff(9555,plain,
% 217.99/140.56 (~v115(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9554, 4053])).
% 217.99/140.56 tff(9556,plain,
% 217.99/140.56 ((~(v112(constB73) | v115(constB73))) | v112(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6058, 9555])).
% 217.99/140.56 tff(9557,plain,
% 217.99/140.56 (~(v112(constB73) | v115(constB73))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9556, 9513])).
% 217.99/140.56 tff(9558,plain,
% 217.99/140.56 (~v111(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6061, 9557, 4017])).
% 217.99/140.56 tff(9559,assumption,(~v118(constB73)), introduced(assumption)).
% 217.99/140.56 tff(9560,plain,
% 217.99/140.56 (v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5894, 9552])).
% 217.99/140.56 tff(9561,assumption,(~(v119(constB73) <=> (~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2)))))), introduced(assumption)).
% 217.99/140.56 tff(9562,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[4040, 318, 9561])).
% 217.99/140.56 tff(9563,plain,(v119(constB73) <=> (~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9564,plain,
% 217.99/140.56 ((~v119(constB73)) | (~(v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5896, 9563])).
% 217.99/140.56 tff(9565,plain,
% 217.99/140.56 (~v119(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9564, 9560])).
% 217.99/140.56 tff(9566,assumption,(~v84(constB74, 0)), introduced(assumption)).
% 217.99/140.56 tff(9567,plain,
% 217.99/140.56 (~(v84(constB74, 0) <=> v84(constB73, 0))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[4180, 4091, 9566])).
% 217.99/140.56 tff(9568,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))), introduced(assumption)).
% 217.99/140.56 tff(9569,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[4178, 9568, 9567])).
% 217.99/140.56 tff(9570,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))) | (~v84(constB73, 0)) | v84(constB74, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9571,plain,
% 217.99/140.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v84(constB73, B)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9570, 9552, 9566])).
% 217.99/140.56 tff(9572,plain,
% 217.99/140.56 (v94(constB74)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3963, 9571])).
% 217.99/140.56 tff(9573,plain,
% 217.99/140.56 (~((~v95(constB74)) | (~v104(constB74)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3955, 9572])).
% 217.99/140.56 tff(9574,plain,
% 217.99/140.56 (v104(constB74)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3948, 9573])).
% 217.99/140.56 tff(9575,plain,
% 217.99/140.56 (v102(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3946, 9574])).
% 217.99/140.56 tff(9576,plain,
% 217.99/140.56 (v105(constB73) | v106(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3936, 9575])).
% 217.99/140.56 tff(9577,plain,
% 217.99/140.56 (v106(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3931, 9576])).
% 217.99/140.56 tff(9578,plain,
% 217.99/140.56 (~((~v107(constB73)) | (~v120(constB73)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3921, 9577])).
% 217.99/140.56 tff(9579,plain,
% 217.99/140.56 (v107(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[3916, 9578])).
% 217.99/140.56 tff(9580,plain,
% 217.99/140.56 (v108(constB73) | v119(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6115, 9579])).
% 217.99/140.56 tff(9581,plain,
% 217.99/140.56 (v108(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6112, 9580, 9565])).
% 217.99/140.56 tff(9582,plain,
% 217.99/140.56 (v109(constB73) | v118(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6110, 9581])).
% 217.99/140.56 tff(9583,plain,
% 217.99/140.56 (v109(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6107, 9582, 9559])).
% 217.99/140.56 tff(9584,plain,
% 217.99/140.56 ((~(v109(constB73) <=> (v110(constB73) | v117(constB73)))) | (v110(constB73) | v117(constB73))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6105, 9583])).
% 217.99/140.56 tff(9585,plain,
% 217.99/140.56 (v110(constB73) | v117(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9584, 4001])).
% 217.99/140.56 tff(9586,plain,
% 217.99/140.56 (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6097, 9504])).
% 217.99/140.56 tff(9587,plain,
% 217.99/140.56 ((~(v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))) | (~v117(constB73))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6099, 9586])).
% 217.99/140.56 tff(9588,plain,
% 217.99/140.56 (~v117(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9587, 3999])).
% 217.99/140.56 tff(9589,plain,
% 217.99/140.56 ((~(v110(constB73) | v117(constB73))) | v110(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6102, 9588])).
% 217.99/140.56 tff(9590,plain,
% 217.99/140.56 (v110(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9589, 9585])).
% 217.99/140.56 tff(9591,plain,
% 217.99/140.56 (v111(constB73) | v116(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6095, 9590, 4019])).
% 217.99/140.56 tff(9592,plain,
% 217.99/140.56 (v84(constB72, 2) <=> v84(constB71, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6079, 9517])).
% 217.99/140.56 tff(9593,plain,
% 217.99/140.56 ((v111(constB71) | v116(constB71)) | (~v116(constB71))),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9594,plain,
% 217.99/140.56 (~v116(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9593, 9529])).
% 217.99/140.56 tff(9595,plain,
% 217.99/140.56 ((~(v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))))) | v116(constB71) | ((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9596,plain,
% 217.99/140.56 ((~(v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))))) | ((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9595, 9594])).
% 217.99/140.56 tff(9597,plain,
% 217.99/140.56 ((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9596, 5730])).
% 217.99/140.56 tff(9598,plain,
% 217.99/140.56 (~v114(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5945, 9544])).
% 217.99/140.56 tff(9599,plain,
% 217.99/140.56 ((~(v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5947, 9598])).
% 217.99/140.56 tff(9600,plain,
% 217.99/140.56 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9599, 5184])).
% 217.99/140.56 tff(9601,plain,
% 217.99/140.56 (~v118(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5950, 9523])).
% 217.99/140.56 tff(9602,plain,
% 217.99/140.56 ((~(v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))))) | (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5952, 9601])).
% 217.99/140.56 tff(9603,plain,
% 217.99/140.56 (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9602, 5783])).
% 217.99/140.56 tff(9604,plain,
% 217.99/140.56 (v84(constB71, 1)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6000, 9548, 9603, 9600])).
% 217.99/140.56 tff(9605,plain,
% 217.99/140.56 ((~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))) | (~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9606,plain,
% 217.99/140.56 (v84(constB71, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9605, 9604, 9548, 9597])).
% 217.99/140.56 tff(9607,plain,
% 217.99/140.56 ((~(v84(constB72, 2) <=> v84(constB71, 2))) | v84(constB72, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6081, 9606])).
% 217.99/140.56 tff(9608,plain,
% 217.99/140.56 (v84(constB72, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9607, 9592])).
% 217.99/140.56 tff(9609,plain,
% 217.99/140.56 ((~(v84(constB73, 2) <=> v84(constB72, 2))) | v84(constB73, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6084, 9608])).
% 217.99/140.56 tff(9610,plain,
% 217.99/140.56 (v84(constB73, 2)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9609, 6071])).
% 217.99/140.56 tff(9611,plain,
% 217.99/140.56 (v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6087, 9610])).
% 217.99/140.56 tff(9612,plain,
% 217.99/140.56 ((~(v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))))) | (~v116(constB73))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6089, 9611])).
% 217.99/140.56 tff(9613,plain,
% 217.99/140.56 (~v116(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9612, 4084])).
% 217.99/140.56 tff(9614,plain,
% 217.99/140.56 ((~(v111(constB73) | v116(constB73))) | v111(constB73)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[6092, 9613])).
% 217.99/140.56 tff(9615,plain,
% 217.99/140.56 ($false),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9614, 9591, 9558])).
% 217.99/140.56 tff(9616,plain,(v107(constB71) | v118(constB73) | v84(constB74, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.56 tff(9617,plain,
% 217.99/140.56 (v107(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9616, 9497, 8645])).
% 217.99/140.56 tff(9618,plain,
% 217.99/140.56 (~((~v107(constB71)) | (~v120(constB71)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5915, 9617])).
% 217.99/140.56 tff(9619,plain,
% 217.99/140.56 (v106(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5907, 9618])).
% 217.99/140.56 tff(9620,plain,
% 217.99/140.56 (v105(constB71) | v106(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5904, 9619])).
% 217.99/140.56 tff(9621,plain,
% 217.99/140.56 (v102(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[5902, 9620])).
% 217.99/140.56 tff(9622,plain,
% 217.99/140.56 ((~(v104(constB72) <=> v102(constB71))) | v104(constB72) | (~v102(constB71))),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9623,plain,
% 217.99/140.56 (v104(constB72) | (~v102(constB71))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9622, 5858])).
% 217.99/140.56 tff(9624,plain,
% 217.99/140.56 (v104(constB72)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9623, 9621])).
% 217.99/140.56 tff(9625,plain,
% 217.99/140.56 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9626,plain,
% 217.99/140.56 (((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72)))))) <=> ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9627,plain,
% 217.99/140.56 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72)))))))),
% 217.99/140.56 inference(monotonicity,[status(thm)],[9626])).
% 217.99/140.56 tff(9628,plain,
% 217.99/140.56 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))),
% 217.99/140.56 inference(transitivity,[status(thm)],[9627, 9625])).
% 217.99/140.56 tff(9629,plain,
% 217.99/140.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72))))))),
% 217.99/140.56 inference(quant_inst,[status(thm)],[])).
% 217.99/140.56 tff(9630,plain,
% 217.99/140.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72)))))),
% 217.99/140.56 inference(modus_ponens,[status(thm)],[9629, 9628])).
% 217.99/140.56 tff(9631,plain,
% 217.99/140.56 (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9630, 5854, 37])).
% 217.99/140.56 tff(9632,plain,
% 217.99/140.56 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72)))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9633,plain,
% 217.99/140.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72)))),
% 217.99/140.56 inference(quant_inst,[status(thm)],[])).
% 217.99/140.56 tff(9634,plain,
% 217.99/140.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72))),
% 217.99/140.56 inference(modus_ponens,[status(thm)],[9633, 9632])).
% 217.99/140.56 tff(9635,plain,
% 217.99/140.56 ((~v96(constB72)) <=> v98(constB72)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9634, 5854, 54])).
% 217.99/140.56 tff(9636,plain,
% 217.99/140.56 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71)))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9637,plain,
% 217.99/140.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71)))),
% 217.99/140.56 inference(quant_inst,[status(thm)],[])).
% 217.99/140.56 tff(9638,plain,
% 217.99/140.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71))),
% 217.99/140.56 inference(modus_ponens,[status(thm)],[9637, 9636])).
% 217.99/140.56 tff(9639,plain,
% 217.99/140.56 (v98(constB72) <=> v1(constB71)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9638, 5854, 68])).
% 217.99/140.56 tff(9640,plain,
% 217.99/140.56 ((~(v98(constB72) <=> v1(constB71))) | (~v98(constB72)) | v1(constB71)),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9641,plain,
% 217.99/140.56 ((~(v98(constB72) <=> v1(constB71))) | (~v98(constB72))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9640, 5201])).
% 217.99/140.56 tff(9642,plain,
% 217.99/140.56 (~v98(constB72)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9641, 9639])).
% 217.99/140.56 tff(9643,plain,
% 217.99/140.56 ((~((~v96(constB72)) <=> v98(constB72))) | v96(constB72) | v98(constB72)),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9644,plain,
% 217.99/140.56 (v96(constB72)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9643, 9642, 9635])).
% 217.99/140.56 tff(9645,plain,
% 217.99/140.56 (v1(constB72) <=> v1(constB72)),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9646,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72')).
% 217.99/140.56 tff(9647,plain,
% 217.99/140.56 (v1(constB72)),
% 217.99/140.56 inference(modus_ponens,[status(thm)],[9646, 9645])).
% 217.99/140.56 tff(9648,plain,
% 217.99/140.56 ((~((~v1(constB72)) | (~v96(constB72)))) | (~v1(constB72)) | (~v96(constB72))),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9649,plain,
% 217.99/140.56 ((~((~v1(constB72)) | (~v96(constB72)))) | (~v96(constB72))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9648, 9647])).
% 217.99/140.56 tff(9650,plain,
% 217.99/140.56 (~((~v1(constB72)) | (~v96(constB72)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9649, 9644])).
% 217.99/140.56 tff(9651,plain,
% 217.99/140.56 ((~(v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72)))))) | v95(constB72) | ((~v1(constB72)) | (~v96(constB72)))),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9652,plain,
% 217.99/140.56 (v95(constB72)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9651, 9650, 9631])).
% 217.99/140.56 tff(9653,plain,
% 217.99/140.56 ((~((~v95(constB72)) | (~v104(constB72)))) | (~v95(constB72)) | (~v104(constB72))),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9654,plain,
% 217.99/140.56 ((~((~v95(constB72)) | (~v104(constB72)))) | (~v104(constB72))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9653, 9652])).
% 217.99/140.56 tff(9655,plain,
% 217.99/140.56 (~((~v95(constB72)) | (~v104(constB72)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9654, 9624])).
% 217.99/140.56 tff(9656,plain,
% 217.99/140.56 ((~(v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72)))))) | v94(constB72) | ((~v95(constB72)) | (~v104(constB72)))),
% 217.99/140.56 inference(tautology,[status(thm)],[])).
% 217.99/140.56 tff(9657,plain,
% 217.99/140.56 (v94(constB72) | ((~v95(constB72)) | (~v104(constB72)))),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9656, 5867])).
% 217.99/140.56 tff(9658,plain,
% 217.99/140.56 (v94(constB72)),
% 217.99/140.56 inference(unit_resolution,[status(thm)],[9657, 9655])).
% 217.99/140.56 tff(9659,plain,
% 217.99/140.56 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B))))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.56 tff(9660,plain,
% 217.99/140.56 (((~v94(constB72)) | ![B: $int] : ((v84(constB72, B) <=> v123(constB72, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B))))),
% 217.99/140.56 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9661,plain,
% 217.99/140.57 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB72)) | ![B: $int] : ((v84(constB72, B) <=> v123(constB72, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9660])).
% 217.99/140.57 tff(9662,plain,
% 217.99/140.57 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB72)) | ![B: $int] : ((v84(constB72, B) <=> v123(constB72, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B))))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9661, 9659])).
% 217.99/140.57 tff(9663,plain,
% 217.99/140.57 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB72)) | ![B: $int] : ((v84(constB72, B) <=> v123(constB72, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9664,plain,
% 217.99/140.57 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9663, 9662])).
% 217.99/140.57 tff(9665,plain,
% 217.99/140.57 ((~v94(constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9664, 1491])).
% 217.99/140.57 tff(9666,plain,
% 217.99/140.57 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9665, 9658])).
% 217.99/140.57 tff(9667,assumption,(~(v84(constB72, 2) <=> v123(constB72, 2))), introduced(assumption)).
% 217.99/140.57 tff(9668,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))), introduced(assumption)).
% 217.99/140.57 tff(9669,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 2) <=> v123(constB72, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 2) <=> v123(constB72, 2)))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9670,plain,
% 217.99/140.57 (($false | $false | (v84(constB72, 2) <=> v123(constB72, 2))) <=> (v84(constB72, 2) <=> v123(constB72, 2))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9671,plain,
% 217.99/140.57 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB72, 2) <=> v123(constB72, 2))) <=> ($false | $false | (v84(constB72, 2) <=> v123(constB72, 2)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.57 tff(9672,plain,
% 217.99/140.57 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB72, 2) <=> v123(constB72, 2))) <=> (v84(constB72, 2) <=> v123(constB72, 2))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9671, 9670])).
% 217.99/140.57 tff(9673,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB72, 2) <=> v123(constB72, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 2) <=> v123(constB72, 2)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9672])).
% 217.99/140.57 tff(9674,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB72, 2) <=> v123(constB72, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 2) <=> v123(constB72, 2)))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9673, 9669])).
% 217.99/140.57 tff(9675,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB72, 2) <=> v123(constB72, 2)))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9676,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 2) <=> v123(constB72, 2))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9675, 9674])).
% 217.99/140.57 tff(9677,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9676, 9668, 9667])).
% 217.99/140.57 tff(9678,plain,((v84(constB72, 2) <=> v123(constB72, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9679,plain,
% 217.99/140.57 (v84(constB72, 2) <=> v123(constB72, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9678, 9666])).
% 217.99/140.57 tff(9680,assumption,(~(v84(constB72, 1) <=> v123(constB72, 1))), introduced(assumption)).
% 217.99/140.57 tff(9681,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 1) <=> v123(constB72, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 1) <=> v123(constB72, 1)))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9682,plain,
% 217.99/140.57 (($false | $false | (v84(constB72, 1) <=> v123(constB72, 1))) <=> (v84(constB72, 1) <=> v123(constB72, 1))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9683,plain,
% 217.99/140.57 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB72, 1) <=> v123(constB72, 1))) <=> ($false | $false | (v84(constB72, 1) <=> v123(constB72, 1)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.57 tff(9684,plain,
% 217.99/140.57 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB72, 1) <=> v123(constB72, 1))) <=> (v84(constB72, 1) <=> v123(constB72, 1))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9683, 9682])).
% 217.99/140.57 tff(9685,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB72, 1) <=> v123(constB72, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 1) <=> v123(constB72, 1)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9684])).
% 217.99/140.57 tff(9686,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB72, 1) <=> v123(constB72, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 1) <=> v123(constB72, 1)))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9685, 9681])).
% 217.99/140.57 tff(9687,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB72, 1) <=> v123(constB72, 1)))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9688,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 1) <=> v123(constB72, 1))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9687, 9686])).
% 217.99/140.57 tff(9689,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9688, 9668, 9680])).
% 217.99/140.57 tff(9690,plain,((v84(constB72, 1) <=> v123(constB72, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9691,plain,
% 217.99/140.57 (v84(constB72, 1) <=> v123(constB72, 1)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9690, 9666])).
% 217.99/140.57 tff(9692,assumption,(v84(constB72, 2) <=> v123(constB72, 2)), introduced(assumption)).
% 217.99/140.57 tff(9693,assumption,(v84(constB72, 1) <=> v123(constB72, 1)), introduced(assumption)).
% 217.99/140.57 tff(9694,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))), introduced(assumption)).
% 217.99/140.57 tff(9695,assumption,(~(v118(constB73) <=> (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))))), introduced(assumption)).
% 217.99/140.57 tff(9696,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[3974, 394, 9695])).
% 217.99/140.57 tff(9697,plain,(v118(constB73) <=> (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9698,plain,
% 217.99/140.57 (v118(constB73) | (v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[3990, 9697])).
% 217.99/140.57 tff(9699,plain,
% 217.99/140.57 (v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9698, 9559])).
% 217.99/140.57 tff(9700,assumption,(~(v84(constB74, 0) <=> v123(constB74, 0))), introduced(assumption)).
% 217.99/140.57 tff(9701,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[4882, 4814, 9700])).
% 217.99/140.57 tff(9702,plain,((v84(constB74, 0) <=> v123(constB74, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9703,plain,
% 217.99/140.57 (v84(constB74, 0) <=> v123(constB74, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9702, 4814])).
% 217.99/140.57 tff(9704,assumption,(~v124(constB71, 2)), introduced(assumption)).
% 217.99/140.57 tff(9705,plain,
% 217.99/140.57 ((~(v124(constB71, 2) <=> b101(2))) | v124(constB71, 2) | (~b101(2))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9706,plain,
% 217.99/140.57 (~(v124(constB71, 2) <=> b101(2))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9705, 2354, 9704])).
% 217.99/140.57 tff(9707,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 2) <=> b101(2)))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9708,plain,
% 217.99/140.57 (($false | $false | (v124(constB71, 2) <=> b101(2))) <=> (v124(constB71, 2) <=> b101(2))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9709,plain,
% 217.99/140.57 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b101(2))) <=> ($false | $false | (v124(constB71, 2) <=> b101(2)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.57 tff(9710,plain,
% 217.99/140.57 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b101(2))) <=> (v124(constB71, 2) <=> b101(2))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9709, 9708])).
% 217.99/140.57 tff(9711,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 2) <=> b101(2)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9710])).
% 217.99/140.57 tff(9712,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 2) <=> b101(2)))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9711, 9707])).
% 217.99/140.57 tff(9713,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b101(2)))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9714,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 2) <=> b101(2))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9713, 9712])).
% 217.99/140.57 tff(9715,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9714, 9694, 9706])).
% 217.99/140.57 tff(9716,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | v124(constB71, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9717,plain,
% 217.99/140.57 (v124(constB71, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9716, 9694])).
% 217.99/140.57 tff(9718,assumption,(~(v121(constB71, 2) <=> v124(constB71, 2))), introduced(assumption)).
% 217.99/140.57 tff(9719,plain,
% 217.99/140.57 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B))))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9720,plain,
% 217.99/140.57 ((v105(constB71) | ![B: $int] : ((v121(constB71, B) <=> v124(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B))))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9721,plain,
% 217.99/140.57 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB71) | ![B: $int] : ((v121(constB71, B) <=> v124(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9720])).
% 217.99/140.57 tff(9722,plain,
% 217.99/140.57 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB71) | ![B: $int] : ((v121(constB71, B) <=> v124(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B))))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9721, 9719])).
% 217.99/140.57 tff(9723,plain,
% 217.99/140.57 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB71) | ![B: $int] : ((v121(constB71, B) <=> v124(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9724,plain,
% 217.99/140.57 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9723, 9722])).
% 217.99/140.57 tff(9725,plain,
% 217.99/140.57 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9724, 1562, 5843])).
% 217.99/140.57 tff(9726,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 2) <=> v124(constB71, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 2) <=> v124(constB71, 2)))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9727,plain,
% 217.99/140.57 (($false | $false | (v121(constB71, 2) <=> v124(constB71, 2))) <=> (v121(constB71, 2) <=> v124(constB71, 2))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9728,plain,
% 217.99/140.57 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB71, 2) <=> v124(constB71, 2))) <=> ($false | $false | (v121(constB71, 2) <=> v124(constB71, 2)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.57 tff(9729,plain,
% 217.99/140.57 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB71, 2) <=> v124(constB71, 2))) <=> (v121(constB71, 2) <=> v124(constB71, 2))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9728, 9727])).
% 217.99/140.57 tff(9730,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB71, 2) <=> v124(constB71, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 2) <=> v124(constB71, 2)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9729])).
% 217.99/140.57 tff(9731,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB71, 2) <=> v124(constB71, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 2) <=> v124(constB71, 2)))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9730, 9726])).
% 217.99/140.57 tff(9732,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB71, 2) <=> v124(constB71, 2)))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9733,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 2) <=> v124(constB71, 2))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9732, 9731])).
% 217.99/140.57 tff(9734,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9733, 9725, 9718])).
% 217.99/140.57 tff(9735,plain,(v121(constB71, 2) <=> v124(constB71, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9736,plain,
% 217.99/140.57 ((~(v121(constB71, 2) <=> v124(constB71, 2))) | v121(constB71, 2) | (~v124(constB71, 2))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9737,plain,
% 217.99/140.57 (v121(constB71, 2) | (~v124(constB71, 2))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9736, 9735])).
% 217.99/140.57 tff(9738,plain,
% 217.99/140.57 (v121(constB71, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9737, 9717])).
% 217.99/140.57 tff(9739,assumption,(~(v123(constB72, 2) <=> v121(constB71, 2))), introduced(assumption)).
% 217.99/140.57 tff(9740,plain,
% 217.99/140.57 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B))))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9741,plain,
% 217.99/140.57 (((~nextState(constB71, constB72)) | ![B: $int] : ((v123(constB72, B) <=> v121(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B))))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9742,plain,
% 217.99/140.57 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB71, constB72)) | ![B: $int] : ((v123(constB72, B) <=> v121(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9741])).
% 217.99/140.57 tff(9743,plain,
% 217.99/140.57 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB71, constB72)) | ![B: $int] : ((v123(constB72, B) <=> v121(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B))))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9742, 9740])).
% 217.99/140.57 tff(9744,plain,
% 217.99/140.57 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB71, constB72)) | ![B: $int] : ((v123(constB72, B) <=> v121(constB71, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9745,plain,
% 217.99/140.57 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB71, constB72)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9744, 9743])).
% 217.99/140.57 tff(9746,plain,
% 217.99/140.57 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9745, 5854, 1527])).
% 217.99/140.57 tff(9747,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 2) <=> v121(constB71, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 2) <=> v121(constB71, 2)))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9748,plain,
% 217.99/140.57 (($false | $false | (v123(constB72, 2) <=> v121(constB71, 2))) <=> (v123(constB72, 2) <=> v121(constB71, 2))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9749,plain,
% 217.99/140.57 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB72, 2) <=> v121(constB71, 2))) <=> ($false | $false | (v123(constB72, 2) <=> v121(constB71, 2)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.57 tff(9750,plain,
% 217.99/140.57 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB72, 2) <=> v121(constB71, 2))) <=> (v123(constB72, 2) <=> v121(constB71, 2))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9749, 9748])).
% 217.99/140.57 tff(9751,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB72, 2) <=> v121(constB71, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 2) <=> v121(constB71, 2)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9750])).
% 217.99/140.57 tff(9752,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB72, 2) <=> v121(constB71, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 2) <=> v121(constB71, 2)))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9751, 9747])).
% 217.99/140.57 tff(9753,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB72, 2) <=> v121(constB71, 2)))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9754,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 2) <=> v121(constB71, 2))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9753, 9752])).
% 217.99/140.57 tff(9755,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9754, 9746, 9739])).
% 217.99/140.57 tff(9756,plain,(v123(constB72, 2) <=> v121(constB71, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9757,plain,
% 217.99/140.57 ((~(v123(constB72, 2) <=> v121(constB71, 2))) | v123(constB72, 2) | (~v121(constB71, 2))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9758,plain,
% 217.99/140.57 (v123(constB72, 2) | (~v121(constB71, 2))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9757, 9756])).
% 217.99/140.57 tff(9759,plain,
% 217.99/140.57 (v123(constB72, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9758, 9738])).
% 217.99/140.57 tff(9760,plain,
% 217.99/140.57 ((~(v84(constB72, 2) <=> v123(constB72, 2))) | v84(constB72, 2) | (~v123(constB72, 2))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9761,plain,
% 217.99/140.57 (v84(constB72, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9760, 9759, 9692])).
% 217.99/140.57 tff(9762,assumption,(~(v84(constB73, 2) <=> v84(constB72, 2))), introduced(assumption)).
% 217.99/140.57 tff(9763,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[6070, 5161, 9762])).
% 217.99/140.57 tff(9764,plain,(v84(constB73, 2) <=> v84(constB72, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9765,plain,
% 217.99/140.57 (v84(constB73, 2) | (~v84(constB72, 2))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[6084, 9764])).
% 217.99/140.57 tff(9766,plain,
% 217.99/140.57 (v84(constB73, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9765, 9761])).
% 217.99/140.57 tff(9767,plain,
% 217.99/140.57 (v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[6087, 9766])).
% 217.99/140.57 tff(9768,plain,
% 217.99/140.57 ((~(v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))))) | (~v116(constB73))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[6089, 9767])).
% 217.99/140.57 tff(9769,plain,
% 217.99/140.57 (~v116(constB73)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9768, 4084])).
% 217.99/140.57 tff(9770,plain,
% 217.99/140.57 ((v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))) | (~v84(constB73, 2))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9771,plain,
% 217.99/140.57 (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9770, 9766])).
% 217.99/140.57 tff(9772,assumption,(~(v114(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))))), introduced(assumption)).
% 217.99/140.57 tff(9773,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[4513, 298, 9772])).
% 217.99/140.57 tff(9774,plain,(v114(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9775,plain,
% 217.99/140.57 ((~v114(constB73)) | (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[6040, 9774])).
% 217.99/140.57 tff(9776,plain,
% 217.99/140.57 (~v114(constB73)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9775, 9771])).
% 217.99/140.57 tff(9777,plain,
% 217.99/140.57 ((v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))) | (~v84(constB73, 2))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9778,plain,
% 217.99/140.57 (v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9777, 9766])).
% 217.99/140.57 tff(9779,assumption,(~(v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))))), introduced(assumption)).
% 217.99/140.57 tff(9780,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[4052, 622, 9779])).
% 217.99/140.57 tff(9781,plain,(v115(constB73) <=> (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9782,plain,
% 217.99/140.57 ((~v115(constB73)) | (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[6055, 9781])).
% 217.99/140.57 tff(9783,plain,
% 217.99/140.57 (~v115(constB73)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9782, 9778])).
% 217.99/140.57 tff(9784,assumption,(~v117(constB73)), introduced(assumption)).
% 217.99/140.57 tff(9785,plain,
% 217.99/140.57 ((v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)) | (~v84(constB73, 2))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9786,plain,
% 217.99/140.57 (v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9785, 9766])).
% 217.99/140.57 tff(9787,assumption,(~(v113(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))))), introduced(assumption)).
% 217.99/140.57 tff(9788,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[4012, 597, 9787])).
% 217.99/140.57 tff(9789,plain,(v113(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9790,plain,
% 217.99/140.57 ((~v113(constB73)) | (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[6045, 9789])).
% 217.99/140.57 tff(9791,plain,
% 217.99/140.57 (~v113(constB73)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9790, 9786])).
% 217.99/140.57 tff(9792,plain,
% 217.99/140.57 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5100, 1807, 9559, 9791, 9784, 9783, 9776, 9769])).
% 217.99/140.57 tff(9793,assumption,(~v124(constB73, 0)), introduced(assumption)).
% 217.99/140.57 tff(9794,plain,
% 217.99/140.57 ((~(v124(constB73, 0) <=> b001(0))) | v124(constB73, 0) | (~b001(0))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9795,plain,
% 217.99/140.57 (~(v124(constB73, 0) <=> b001(0))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9794, 1940, 9793])).
% 217.99/140.57 tff(9796,assumption,(~(v124(constB73, 0) <=> b001(0))), introduced(assumption)).
% 217.99/140.57 tff(9797,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | (v124(constB73, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | (v124(constB73, 0) <=> b001(0)))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9798,plain,
% 217.99/140.57 (($false | $false | (v124(constB73, 0) <=> b001(0))) <=> (v124(constB73, 0) <=> b001(0))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9799,plain,
% 217.99/140.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b001(0))) <=> ($false | $false | (v124(constB73, 0) <=> b001(0)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.57 tff(9800,plain,
% 217.99/140.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b001(0))) <=> (v124(constB73, 0) <=> b001(0))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9799, 9798])).
% 217.99/140.57 tff(9801,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | (v124(constB73, 0) <=> b001(0)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9800])).
% 217.99/140.57 tff(9802,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | (v124(constB73, 0) <=> b001(0)))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9801, 9797])).
% 217.99/140.57 tff(9803,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b001(0)))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9804,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | (v124(constB73, 0) <=> b001(0))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9803, 9802])).
% 217.99/140.57 tff(9805,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9804, 5068, 9796])).
% 217.99/140.57 tff(9806,plain,((v124(constB73, 0) <=> b001(0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9807,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9806, 9795, 5068])).
% 217.99/140.57 tff(9808,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))) | v124(constB73, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9809,plain,
% 217.99/140.57 (v124(constB73, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9808, 9792])).
% 217.99/140.57 tff(9810,plain,
% 217.99/140.57 ((~(v121(constB73, 0) <=> v124(constB73, 0))) | v121(constB73, 0) | (~v124(constB73, 0))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9811,plain,
% 217.99/140.57 (v121(constB73, 0) | (~v124(constB73, 0))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9810, 8256])).
% 217.99/140.57 tff(9812,plain,
% 217.99/140.57 (v121(constB73, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9811, 9809])).
% 217.99/140.57 tff(9813,plain,
% 217.99/140.57 ((~(v123(constB74, 0) <=> v121(constB73, 0))) | v123(constB74, 0) | (~v121(constB73, 0))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9814,plain,
% 217.99/140.57 (v123(constB74, 0) | (~v121(constB73, 0))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9813, 8261])).
% 217.99/140.57 tff(9815,plain,
% 217.99/140.57 (v123(constB74, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9814, 9812])).
% 217.99/140.57 tff(9816,plain,
% 217.99/140.57 ((~(v84(constB74, 0) <=> v123(constB74, 0))) | v84(constB74, 0) | (~v123(constB74, 0))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9817,plain,
% 217.99/140.57 (v84(constB74, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9816, 9815, 9703])).
% 217.99/140.57 tff(9818,plain,
% 217.99/140.57 (v84(constB75, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[4836, 9817])).
% 217.99/140.57 tff(9819,plain,
% 217.99/140.57 ((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[4203, 9818])).
% 217.99/140.57 tff(9820,plain,
% 217.99/140.57 (v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[4224, 9818])).
% 217.99/140.57 tff(9821,plain,
% 217.99/140.57 (~v117(constB75)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[8303, 9820])).
% 217.99/140.57 tff(9822,assumption,(~(v84(constB72, 0) <=> v123(constB72, 0))), introduced(assumption)).
% 217.99/140.57 tff(9823,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 0) <=> v123(constB72, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 0) <=> v123(constB72, 0)))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9824,plain,
% 217.99/140.57 (($false | $false | (v84(constB72, 0) <=> v123(constB72, 0))) <=> (v84(constB72, 0) <=> v123(constB72, 0))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9825,plain,
% 217.99/140.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB72, 0) <=> v123(constB72, 0))) <=> ($false | $false | (v84(constB72, 0) <=> v123(constB72, 0)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.57 tff(9826,plain,
% 217.99/140.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB72, 0) <=> v123(constB72, 0))) <=> (v84(constB72, 0) <=> v123(constB72, 0))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9825, 9824])).
% 217.99/140.57 tff(9827,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB72, 0) <=> v123(constB72, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 0) <=> v123(constB72, 0)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9826])).
% 217.99/140.57 tff(9828,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB72, 0) <=> v123(constB72, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 0) <=> v123(constB72, 0)))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9827, 9823])).
% 217.99/140.57 tff(9829,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB72, 0) <=> v123(constB72, 0)))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9830,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))) | (v84(constB72, 0) <=> v123(constB72, 0))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9829, 9828])).
% 217.99/140.57 tff(9831,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9830, 9668, 9822])).
% 217.99/140.57 tff(9832,plain,((v84(constB72, 0) <=> v123(constB72, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9833,plain,
% 217.99/140.57 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9832, 9822])).
% 217.99/140.57 tff(9834,plain,
% 217.99/140.57 (~v94(constB72)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9665, 9833])).
% 217.99/140.57 tff(9835,plain,
% 217.99/140.57 ((~v95(constB72)) | (~v104(constB72))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9657, 9834])).
% 217.99/140.57 tff(9836,plain,
% 217.99/140.57 (~v104(constB72)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9654, 9835])).
% 217.99/140.57 tff(9837,plain,
% 217.99/140.57 (~v102(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9623, 9836])).
% 217.99/140.57 tff(9838,plain,
% 217.99/140.57 (v84(constB72, 1)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[6017, 9837])).
% 217.99/140.57 tff(9839,plain,
% 217.99/140.57 (~(v105(constB71) | v106(constB71))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5902, 9837])).
% 217.99/140.57 tff(9840,plain,
% 217.99/140.57 (~v106(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5904, 9839])).
% 217.99/140.57 tff(9841,plain,
% 217.99/140.57 ((~v107(constB71)) | (~v120(constB71))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5907, 9840])).
% 217.99/140.57 tff(9842,plain,
% 217.99/140.57 (~v107(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5915, 9841])).
% 217.99/140.57 tff(9843,plain,
% 217.99/140.57 ((~(v107(constB71) <=> (v108(constB71) | v119(constB71)))) | (~(v108(constB71) | v119(constB71)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5917, 9842])).
% 217.99/140.57 tff(9844,plain,
% 217.99/140.57 (~(v108(constB71) | v119(constB71))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9843, 5172])).
% 217.99/140.57 tff(9845,plain,
% 217.99/140.57 (~v108(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5920, 9844])).
% 217.99/140.57 tff(9846,plain,
% 217.99/140.57 ((~(v108(constB71) <=> (v109(constB71) | v118(constB71)))) | (~(v109(constB71) | v118(constB71)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5922, 9845])).
% 217.99/140.57 tff(9847,plain,
% 217.99/140.57 (~(v109(constB71) | v118(constB71))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9846, 5174])).
% 217.99/140.57 tff(9848,plain,
% 217.99/140.57 (~v109(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5925, 9847])).
% 217.99/140.57 tff(9849,plain,
% 217.99/140.57 ((~(v109(constB71) <=> (v110(constB71) | v117(constB71)))) | (~(v110(constB71) | v117(constB71)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5927, 9848])).
% 217.99/140.57 tff(9850,plain,
% 217.99/140.57 (~(v110(constB71) | v117(constB71))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9849, 5176])).
% 217.99/140.57 tff(9851,plain,
% 217.99/140.57 (~v110(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5930, 9850])).
% 217.99/140.57 tff(9852,plain,
% 217.99/140.57 ((~(v110(constB71) <=> (v111(constB71) | v116(constB71)))) | (~(v111(constB71) | v116(constB71)))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5932, 9851])).
% 217.99/140.57 tff(9853,plain,
% 217.99/140.57 (~(v111(constB71) | v116(constB71))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9852, 5178])).
% 217.99/140.57 tff(9854,assumption,(~(v111(constB71) | v116(constB71))), introduced(assumption)).
% 217.99/140.57 tff(9855,plain,
% 217.99/140.57 (~v116(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9593, 9854])).
% 217.99/140.57 tff(9856,plain,
% 217.99/140.57 ((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9595, 9855, 5730])).
% 217.99/140.57 tff(9857,plain,
% 217.99/140.57 (~v111(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5935, 9854])).
% 217.99/140.57 tff(9858,plain,
% 217.99/140.57 (~(v112(constB71) | v115(constB71))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5937, 9857, 5180])).
% 217.99/140.57 tff(9859,plain,
% 217.99/140.57 (~v115(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5955, 9858])).
% 217.99/140.57 tff(9860,plain,
% 217.99/140.57 (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5957, 9859, 5713])).
% 217.99/140.57 tff(9861,assumption,(~v84(constB71, 2)), introduced(assumption)).
% 217.99/140.57 tff(9862,plain,
% 217.99/140.57 ((v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))) | v84(constB71, 2)),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9863,plain,
% 217.99/140.57 (v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9862, 9861])).
% 217.99/140.57 tff(9864,plain,
% 217.99/140.57 ((v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))) | v84(constB71, 2)),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9865,plain,
% 217.99/140.57 (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9864, 9861])).
% 217.99/140.57 tff(9866,plain,
% 217.99/140.57 (~v112(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5940, 9858])).
% 217.99/140.57 tff(9867,plain,
% 217.99/140.57 (~(v113(constB71) | v114(constB71))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5942, 9866, 5182])).
% 217.99/140.57 tff(9868,plain,
% 217.99/140.57 (~v113(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5970, 9867])).
% 217.99/140.57 tff(9869,plain,
% 217.99/140.57 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5972, 9868, 5696])).
% 217.99/140.57 tff(9870,plain,
% 217.99/140.57 (v84(constB71, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5991, 9869, 9865, 9863, 9860])).
% 217.99/140.57 tff(9871,plain,
% 217.99/140.57 (~v114(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5945, 9867])).
% 217.99/140.57 tff(9872,plain,
% 217.99/140.57 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5947, 9871, 5184])).
% 217.99/140.57 tff(9873,plain,
% 217.99/140.57 ((v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))) | v84(constB71, 2)),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9874,plain,
% 217.99/140.57 (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9873, 9861])).
% 217.99/140.57 tff(9875,plain,
% 217.99/140.57 (v84(constB71, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5982, 5979, 5978, 9861])).
% 217.99/140.57 tff(9876,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[6000, 9875, 5979, 5995, 9874])).
% 217.99/140.57 tff(9877,plain,(v84(constB71, 1) | (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))) | (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))) | v84(constB71, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9878,plain,
% 217.99/140.57 (v84(constB71, 1)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9877, 9872, 9861, 9869])).
% 217.99/140.57 tff(9879,plain,
% 217.99/140.57 ((~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))) | (~v84(constB71, 1)) | (~v84(constB71, 0))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9605, 9861])).
% 217.99/140.57 tff(9880,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9879, 9878, 9870, 9856])).
% 217.99/140.57 tff(9881,plain,((v111(constB71) | v116(constB71)) | v84(constB71, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9882,plain,
% 217.99/140.57 (v84(constB71, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9881, 9853])).
% 217.99/140.57 tff(9883,assumption,(v84(constB72, 0)), introduced(assumption)).
% 217.99/140.57 tff(9884,plain,
% 217.99/140.57 ((v84(constB72, 0) <=> v123(constB72, 0)) | (~v84(constB72, 0)) | (~v123(constB72, 0))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9885,plain,
% 217.99/140.57 (~v123(constB72, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9884, 9822, 9883])).
% 217.99/140.57 tff(9886,assumption,(~(v123(constB72, 0) <=> v121(constB71, 0))), introduced(assumption)).
% 217.99/140.57 tff(9887,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 0) <=> v121(constB71, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 0) <=> v121(constB71, 0)))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9888,plain,
% 217.99/140.57 (($false | $false | (v123(constB72, 0) <=> v121(constB71, 0))) <=> (v123(constB72, 0) <=> v121(constB71, 0))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9889,plain,
% 217.99/140.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB72, 0) <=> v121(constB71, 0))) <=> ($false | $false | (v123(constB72, 0) <=> v121(constB71, 0)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.57 tff(9890,plain,
% 217.99/140.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB72, 0) <=> v121(constB71, 0))) <=> (v123(constB72, 0) <=> v121(constB71, 0))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9889, 9888])).
% 217.99/140.57 tff(9891,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB72, 0) <=> v121(constB71, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 0) <=> v121(constB71, 0)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9890])).
% 217.99/140.57 tff(9892,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB72, 0) <=> v121(constB71, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 0) <=> v121(constB71, 0)))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9891, 9887])).
% 217.99/140.57 tff(9893,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB72, 0) <=> v121(constB71, 0)))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9894,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 0) <=> v121(constB71, 0))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9893, 9892])).
% 217.99/140.57 tff(9895,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9894, 9746, 9886])).
% 217.99/140.57 tff(9896,plain,(v123(constB72, 0) <=> v121(constB71, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9897,plain,
% 217.99/140.57 ((~(v123(constB72, 0) <=> v121(constB71, 0))) | v123(constB72, 0) | (~v121(constB71, 0))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9898,plain,
% 217.99/140.57 (v123(constB72, 0) | (~v121(constB71, 0))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9897, 9896])).
% 217.99/140.57 tff(9899,plain,
% 217.99/140.57 (~v121(constB71, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9898, 9885])).
% 217.99/140.57 tff(9900,assumption,(~(v121(constB71, 0) <=> v124(constB71, 0))), introduced(assumption)).
% 217.99/140.57 tff(9901,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 0) <=> v124(constB71, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 0) <=> v124(constB71, 0)))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9902,plain,
% 217.99/140.57 (($false | $false | (v121(constB71, 0) <=> v124(constB71, 0))) <=> (v121(constB71, 0) <=> v124(constB71, 0))),
% 217.99/140.57 inference(rewrite,[status(thm)],[])).
% 217.99/140.57 tff(9903,plain,
% 217.99/140.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB71, 0) <=> v124(constB71, 0))) <=> ($false | $false | (v121(constB71, 0) <=> v124(constB71, 0)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.57 tff(9904,plain,
% 217.99/140.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB71, 0) <=> v124(constB71, 0))) <=> (v121(constB71, 0) <=> v124(constB71, 0))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9903, 9902])).
% 217.99/140.57 tff(9905,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB71, 0) <=> v124(constB71, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 0) <=> v124(constB71, 0)))),
% 217.99/140.57 inference(monotonicity,[status(thm)],[9904])).
% 217.99/140.57 tff(9906,plain,
% 217.99/140.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB71, 0) <=> v124(constB71, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 0) <=> v124(constB71, 0)))),
% 217.99/140.57 inference(transitivity,[status(thm)],[9905, 9901])).
% 217.99/140.57 tff(9907,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB71, 0) <=> v124(constB71, 0)))),
% 217.99/140.57 inference(quant_inst,[status(thm)],[])).
% 217.99/140.57 tff(9908,plain,
% 217.99/140.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 0) <=> v124(constB71, 0))),
% 217.99/140.57 inference(modus_ponens,[status(thm)],[9907, 9906])).
% 217.99/140.57 tff(9909,plain,
% 217.99/140.57 ($false),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9908, 9725, 9900])).
% 217.99/140.57 tff(9910,plain,(v121(constB71, 0) <=> v124(constB71, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.57 tff(9911,plain,
% 217.99/140.57 ((~(v121(constB71, 0) <=> v124(constB71, 0))) | v121(constB71, 0) | (~v124(constB71, 0))),
% 217.99/140.57 inference(tautology,[status(thm)],[])).
% 217.99/140.57 tff(9912,plain,
% 217.99/140.57 (v121(constB71, 0) | (~v124(constB71, 0))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9911, 9910])).
% 217.99/140.57 tff(9913,plain,
% 217.99/140.57 (~v124(constB71, 0)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9912, 9899])).
% 217.99/140.57 tff(9914,assumption,(v84(constB71, 2)), introduced(assumption)).
% 217.99/140.57 tff(9915,plain,
% 217.99/140.57 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5697, 9914])).
% 217.99/140.57 tff(9916,plain,
% 217.99/140.57 ((~(v113(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))))) | (~v113(constB71))),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5699, 9915])).
% 217.99/140.57 tff(9917,plain,
% 217.99/140.57 (~v113(constB71)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[9916, 5696])).
% 217.99/140.57 tff(9918,plain,
% 217.99/140.57 (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)),
% 217.99/140.57 inference(unit_resolution,[status(thm)],[5714, 9914])).
% 217.99/140.58 tff(9919,plain,
% 217.99/140.58 ((~(v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))) | (~v115(constB71))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5716, 9918])).
% 217.99/140.58 tff(9920,plain,
% 217.99/140.58 (~v115(constB71)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9919, 5713])).
% 217.99/140.58 tff(9921,plain,
% 217.99/140.58 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5690, 9914])).
% 217.99/140.58 tff(9922,plain,
% 217.99/140.58 ((~(v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (~v114(constB71))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5692, 9921])).
% 217.99/140.58 tff(9923,plain,
% 217.99/140.58 (~v114(constB71)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9922, 5184])).
% 217.99/140.58 tff(9924,assumption,(~v94(constB72)), introduced(assumption)).
% 217.99/140.58 tff(9925,plain,
% 217.99/140.58 ((~v95(constB72)) | (~v104(constB72))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9657, 9924])).
% 217.99/140.58 tff(9926,plain,
% 217.99/140.58 (~v104(constB72)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9654, 9925])).
% 217.99/140.58 tff(9927,plain,
% 217.99/140.58 (~v102(constB71)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9623, 9926])).
% 217.99/140.58 tff(9928,plain,
% 217.99/140.58 (v84(constB72, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[6017, 9927])).
% 217.99/140.58 tff(9929,plain,
% 217.99/140.58 ((~(v84(constB72, 1) <=> v84(constB71, 1))) | (~v84(constB72, 1)) | v84(constB71, 1)),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(9930,plain,
% 217.99/140.58 (~(v84(constB72, 1) <=> v84(constB71, 1))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9929, 5979, 9928])).
% 217.99/140.58 tff(9931,plain,
% 217.99/140.58 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5877, 9924])).
% 217.99/140.58 tff(9932,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[6015, 9931, 9930])).
% 217.99/140.58 tff(9933,plain,(v94(constB72) | v84(constB71, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(9934,plain,
% 217.99/140.58 (v84(constB71, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9933, 9834])).
% 217.99/140.58 tff(9935,plain,
% 217.99/140.58 ((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5731, 9914])).
% 217.99/140.58 tff(9936,plain,
% 217.99/140.58 ((~(v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (~v116(constB71))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5733, 9935])).
% 217.99/140.58 tff(9937,plain,
% 217.99/140.58 (~v116(constB71)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9936, 5730])).
% 217.99/140.58 tff(9938,assumption,(v84(constB71, 1)), introduced(assumption)).
% 217.99/140.58 tff(9939,plain,
% 217.99/140.58 (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5808, 9938])).
% 217.99/140.58 tff(9940,assumption,(~(v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))))), introduced(assumption)).
% 217.99/140.58 tff(9941,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5782, 394, 9940])).
% 217.99/140.58 tff(9942,plain,(v118(constB71) <=> (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(9943,plain,
% 217.99/140.58 ((~v118(constB71)) | (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5810, 9942])).
% 217.99/140.58 tff(9944,plain,
% 217.99/140.58 (~v118(constB71)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9943, 9939])).
% 217.99/140.58 tff(9945,plain,
% 217.99/140.58 ((v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))) | (~v84(constB71, 1))),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(9946,plain,
% 217.99/140.58 (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9945, 9938])).
% 217.99/140.58 tff(9947,assumption,(~(v117(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))))), introduced(assumption)).
% 217.99/140.58 tff(9948,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5741, 656, 9947])).
% 217.99/140.58 tff(9949,plain,(v117(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(9950,plain,
% 217.99/140.58 ((~v117(constB71)) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5769, 9949])).
% 217.99/140.58 tff(9951,plain,
% 217.99/140.58 (~v117(constB71)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9950, 9946])).
% 217.99/140.58 tff(9952,assumption,(~v115(constB71)), introduced(assumption)).
% 217.99/140.58 tff(9953,assumption,(~v113(constB71)), introduced(assumption)).
% 217.99/140.58 tff(9954,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))), introduced(assumption)).
% 217.99/140.58 tff(9955,assumption,(~v114(constB71)), introduced(assumption)).
% 217.99/140.58 tff(9956,plain,
% 217.99/140.58 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(9957,plain,
% 217.99/140.58 ((v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) <=> (v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(9958,plain,
% 217.99/140.58 (^[B: $int] : rewrite(((v124(constB71, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))))),
% 217.99/140.58 inference(bind,[status(th)],[])).
% 217.99/140.58 tff(9959,plain,
% 217.99/140.58 (![B: $int] : ((v124(constB71, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))),
% 217.99/140.58 inference(quant_intro,[status(thm)],[9958])).
% 217.99/140.58 tff(9960,plain,
% 217.99/140.58 ((v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ((v124(constB71, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[9959])).
% 217.99/140.58 tff(9961,plain,
% 217.99/140.58 ((v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ((v124(constB71, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))))),
% 217.99/140.58 inference(transitivity,[status(thm)],[9960, 9957])).
% 217.99/140.58 tff(9962,plain,
% 217.99/140.58 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ((v124(constB71, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[9961])).
% 217.99/140.58 tff(9963,plain,
% 217.99/140.58 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ((v124(constB71, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))))),
% 217.99/140.58 inference(transitivity,[status(thm)],[9962, 9956])).
% 217.99/140.58 tff(9964,plain,
% 217.99/140.58 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ((v124(constB71, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.58 inference(quant_inst,[status(thm)],[])).
% 217.99/140.58 tff(9965,plain,
% 217.99/140.58 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB71) | v117(constB71) | v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))),
% 217.99/140.58 inference(modus_ponens,[status(thm)],[9964, 9963])).
% 217.99/140.58 tff(9966,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9965, 1807, 9955, 9954, 9953, 9952, 9951, 9944, 9937])).
% 217.99/140.58 tff(9967,plain,((~v84(constB71, 1)) | v114(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))) | v113(constB71) | v115(constB71) | (~v84(constB71, 2))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(9968,plain,
% 217.99/140.58 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9967, 9934, 9914, 9923, 9920, 9917])).
% 217.99/140.58 tff(9969,assumption,(~v124(constB71, 0)), introduced(assumption)).
% 217.99/140.58 tff(9970,plain,
% 217.99/140.58 ((~(v124(constB71, 0) <=> b001(0))) | v124(constB71, 0) | (~b001(0))),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(9971,plain,
% 217.99/140.58 (~(v124(constB71, 0) <=> b001(0))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9970, 1940, 9969])).
% 217.99/140.58 tff(9972,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))), introduced(assumption)).
% 217.99/140.58 tff(9973,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | (v124(constB71, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | (v124(constB71, 0) <=> b001(0)))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(9974,plain,
% 217.99/140.58 (($false | $false | (v124(constB71, 0) <=> b001(0))) <=> (v124(constB71, 0) <=> b001(0))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(9975,plain,
% 217.99/140.58 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b001(0))) <=> ($false | $false | (v124(constB71, 0) <=> b001(0)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.58 tff(9976,plain,
% 217.99/140.58 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b001(0))) <=> (v124(constB71, 0) <=> b001(0))),
% 217.99/140.58 inference(transitivity,[status(thm)],[9975, 9974])).
% 217.99/140.58 tff(9977,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | (v124(constB71, 0) <=> b001(0)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[9976])).
% 217.99/140.58 tff(9978,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | (v124(constB71, 0) <=> b001(0)))),
% 217.99/140.58 inference(transitivity,[status(thm)],[9977, 9973])).
% 217.99/140.58 tff(9979,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b001(0)))),
% 217.99/140.58 inference(quant_inst,[status(thm)],[])).
% 217.99/140.58 tff(9980,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | (v124(constB71, 0) <=> b001(0))),
% 217.99/140.58 inference(modus_ponens,[status(thm)],[9979, 9978])).
% 217.99/140.58 tff(9981,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9980, 9972, 9971])).
% 217.99/140.58 tff(9982,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | v124(constB71, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(9983,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9982, 9968, 9913])).
% 217.99/140.58 tff(9984,plain,((v84(constB72, 0) <=> v123(constB72, 0)) | (~v84(constB71, 2)) | (~v84(constB72, 0))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(9985,plain,
% 217.99/140.58 (~v84(constB72, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9984, 9882, 9822])).
% 217.99/140.58 tff(9986,plain,
% 217.99/140.58 (v84(constB72, 0) <=> v84(constB71, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5886, 6007])).
% 217.99/140.58 tff(9987,assumption,(~v84(constB72, 0)), introduced(assumption)).
% 217.99/140.58 tff(9988,plain,
% 217.99/140.58 ((~(v84(constB72, 0) <=> v84(constB71, 0))) | (~v84(constB71, 0))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5888, 9987])).
% 217.99/140.58 tff(9989,plain,
% 217.99/140.58 (~v84(constB71, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9988, 9986])).
% 217.99/140.58 tff(9990,plain,
% 217.99/140.58 (v84(constB72, 1) <=> v84(constB71, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[6015, 6007])).
% 217.99/140.58 tff(9991,assumption,(v84(constB72, 1)), introduced(assumption)).
% 217.99/140.58 tff(9992,plain,
% 217.99/140.58 ((~(v84(constB72, 1) <=> v84(constB71, 1))) | v84(constB71, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9929, 9991])).
% 217.99/140.58 tff(9993,plain,
% 217.99/140.58 (v84(constB71, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9992, 9990])).
% 217.99/140.58 tff(9994,plain,
% 217.99/140.58 (v84(constB72, 2) <=> v84(constB71, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[6079, 6007])).
% 217.99/140.58 tff(9995,assumption,(v84(constB72, 2)), introduced(assumption)).
% 217.99/140.58 tff(9996,plain,
% 217.99/140.58 ((~(v84(constB72, 2) <=> v84(constB71, 2))) | (~v84(constB72, 2)) | v84(constB71, 2)),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(9997,plain,
% 217.99/140.58 ((~(v84(constB72, 2) <=> v84(constB71, 2))) | v84(constB71, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9996, 9995])).
% 217.99/140.58 tff(9998,plain,
% 217.99/140.58 (v84(constB71, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9997, 9994])).
% 217.99/140.58 tff(9999,plain,
% 217.99/140.58 (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5987, 9998, 9993, 9989])).
% 217.99/140.58 tff(10000,assumption,(~(v119(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))))), introduced(assumption)).
% 217.99/140.58 tff(10001,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5818, 318, 10000])).
% 217.99/140.58 tff(10002,plain,(v119(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10003,plain,
% 217.99/140.58 (v119(constB71) | (v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5962, 10002])).
% 217.99/140.58 tff(10004,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10003, 9999, 5961])).
% 217.99/140.58 tff(10005,plain,(v102(constB71) | (~v84(constB72, 2)) | v84(constB72, 0) | (~v84(constB72, 1))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10006,plain,
% 217.99/140.58 (~v84(constB72, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10005, 9985, 9837, 9838])).
% 217.99/140.58 tff(10007,plain,
% 217.99/140.58 (~(v84(constB72, 2) <=> v84(constB71, 2))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[6081, 9882, 10006])).
% 217.99/140.58 tff(10008,plain,
% 217.99/140.58 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5877, 9834])).
% 217.99/140.58 tff(10009,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[6079, 10008, 10007])).
% 217.99/140.58 tff(10010,plain,(v84(constB72, 0) <=> v123(constB72, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10011,assumption,((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)), introduced(assumption)).
% 217.99/140.58 tff(10012,assumption,(v84(constB72, 0) <=> v123(constB72, 0)), introduced(assumption)).
% 217.99/140.58 tff(10013,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 0) <=> b101(0)))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10014,plain,
% 217.99/140.58 (($false | $false | (v124(constB71, 0) <=> b101(0))) <=> (v124(constB71, 0) <=> b101(0))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10015,plain,
% 217.99/140.58 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b101(0))) <=> ($false | $false | (v124(constB71, 0) <=> b101(0)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.58 tff(10016,plain,
% 217.99/140.58 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b101(0))) <=> (v124(constB71, 0) <=> b101(0))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10015, 10014])).
% 217.99/140.58 tff(10017,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 0) <=> b101(0)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[10016])).
% 217.99/140.58 tff(10018,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 0) <=> b101(0)))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10017, 10013])).
% 217.99/140.58 tff(10019,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b101(0)))),
% 217.99/140.58 inference(quant_inst,[status(thm)],[])).
% 217.99/140.58 tff(10020,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 0) <=> b101(0))),
% 217.99/140.58 inference(modus_ponens,[status(thm)],[10019, 10018])).
% 217.99/140.58 tff(10021,plain,
% 217.99/140.58 (v124(constB71, 0) <=> b101(0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10020, 9694])).
% 217.99/140.58 tff(10022,plain,
% 217.99/140.58 ((~(v124(constB71, 0) <=> b101(0))) | v124(constB71, 0) | (~b101(0))),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10023,plain,
% 217.99/140.58 ((~(v124(constB71, 0) <=> b101(0))) | v124(constB71, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10022, 2042])).
% 217.99/140.58 tff(10024,plain,
% 217.99/140.58 (v124(constB71, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10023, 10021])).
% 217.99/140.58 tff(10025,plain,
% 217.99/140.58 (v121(constB71, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9912, 10024])).
% 217.99/140.58 tff(10026,plain,
% 217.99/140.58 (v123(constB72, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9898, 10025])).
% 217.99/140.58 tff(10027,plain,
% 217.99/140.58 ((~(v84(constB72, 0) <=> v123(constB72, 0))) | v84(constB72, 0) | (~v123(constB72, 0))),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10028,plain,
% 217.99/140.58 (v84(constB72, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10027, 10026, 10012])).
% 217.99/140.58 tff(10029,assumption,(~(v84(constB73, 0) <=> v84(constB72, 0))), introduced(assumption)).
% 217.99/140.58 tff(10030,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5169, 5161, 10029])).
% 217.99/140.58 tff(10031,plain,(v84(constB73, 0) <=> v84(constB72, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10032,plain,
% 217.99/140.58 (v84(constB73, 0) | (~v84(constB72, 0))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5891, 10031])).
% 217.99/140.58 tff(10033,plain,
% 217.99/140.58 (v84(constB73, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10032, 10028])).
% 217.99/140.58 tff(10034,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 1) <=> b101(1)))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10035,plain,
% 217.99/140.58 (($false | $false | (v124(constB71, 1) <=> b101(1))) <=> (v124(constB71, 1) <=> b101(1))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10036,plain,
% 217.99/140.58 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b101(1))) <=> ($false | $false | (v124(constB71, 1) <=> b101(1)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.58 tff(10037,plain,
% 217.99/140.58 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b101(1))) <=> (v124(constB71, 1) <=> b101(1))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10036, 10035])).
% 217.99/140.58 tff(10038,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 1) <=> b101(1)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[10037])).
% 217.99/140.58 tff(10039,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 1) <=> b101(1)))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10038, 10034])).
% 217.99/140.58 tff(10040,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b101(1)))),
% 217.99/140.58 inference(quant_inst,[status(thm)],[])).
% 217.99/140.58 tff(10041,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (v124(constB71, 1) <=> b101(1))),
% 217.99/140.58 inference(modus_ponens,[status(thm)],[10040, 10039])).
% 217.99/140.58 tff(10042,plain,
% 217.99/140.58 (v124(constB71, 1) <=> b101(1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10041, 9694])).
% 217.99/140.58 tff(10043,plain,
% 217.99/140.58 ((~(v124(constB71, 1) <=> b101(1))) | (~v124(constB71, 1)) | b101(1)),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10044,plain,
% 217.99/140.58 ((~(v124(constB71, 1) <=> b101(1))) | (~v124(constB71, 1))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10043, 2330])).
% 217.99/140.58 tff(10045,plain,
% 217.99/140.58 (~v124(constB71, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10044, 10042])).
% 217.99/140.58 tff(10046,assumption,(~(v121(constB71, 1) <=> v124(constB71, 1))), introduced(assumption)).
% 217.99/140.58 tff(10047,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 1) <=> v124(constB71, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 1) <=> v124(constB71, 1)))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10048,plain,
% 217.99/140.58 (($false | $false | (v121(constB71, 1) <=> v124(constB71, 1))) <=> (v121(constB71, 1) <=> v124(constB71, 1))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10049,plain,
% 217.99/140.58 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB71, 1) <=> v124(constB71, 1))) <=> ($false | $false | (v121(constB71, 1) <=> v124(constB71, 1)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.58 tff(10050,plain,
% 217.99/140.58 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB71, 1) <=> v124(constB71, 1))) <=> (v121(constB71, 1) <=> v124(constB71, 1))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10049, 10048])).
% 217.99/140.58 tff(10051,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB71, 1) <=> v124(constB71, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 1) <=> v124(constB71, 1)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[10050])).
% 217.99/140.58 tff(10052,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB71, 1) <=> v124(constB71, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 1) <=> v124(constB71, 1)))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10051, 10047])).
% 217.99/140.58 tff(10053,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB71, 1) <=> v124(constB71, 1)))),
% 217.99/140.58 inference(quant_inst,[status(thm)],[])).
% 217.99/140.58 tff(10054,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB71, B) <=> v124(constB71, B)))) | (v121(constB71, 1) <=> v124(constB71, 1))),
% 217.99/140.58 inference(modus_ponens,[status(thm)],[10053, 10052])).
% 217.99/140.58 tff(10055,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10054, 9725, 10046])).
% 217.99/140.58 tff(10056,plain,(v121(constB71, 1) <=> v124(constB71, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10057,plain,
% 217.99/140.58 ((~(v121(constB71, 1) <=> v124(constB71, 1))) | (~v121(constB71, 1)) | v124(constB71, 1)),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10058,plain,
% 217.99/140.58 ((~v121(constB71, 1)) | v124(constB71, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10057, 10056])).
% 217.99/140.58 tff(10059,plain,
% 217.99/140.58 (~v121(constB71, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10058, 10045])).
% 217.99/140.58 tff(10060,assumption,(~(v123(constB72, 1) <=> v121(constB71, 1))), introduced(assumption)).
% 217.99/140.58 tff(10061,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 1) <=> v121(constB71, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 1) <=> v121(constB71, 1)))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10062,plain,
% 217.99/140.58 (($false | $false | (v123(constB72, 1) <=> v121(constB71, 1))) <=> (v123(constB72, 1) <=> v121(constB71, 1))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10063,plain,
% 217.99/140.58 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB72, 1) <=> v121(constB71, 1))) <=> ($false | $false | (v123(constB72, 1) <=> v121(constB71, 1)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.58 tff(10064,plain,
% 217.99/140.58 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB72, 1) <=> v121(constB71, 1))) <=> (v123(constB72, 1) <=> v121(constB71, 1))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10063, 10062])).
% 217.99/140.58 tff(10065,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB72, 1) <=> v121(constB71, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 1) <=> v121(constB71, 1)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[10064])).
% 217.99/140.58 tff(10066,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB72, 1) <=> v121(constB71, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 1) <=> v121(constB71, 1)))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10065, 10061])).
% 217.99/140.58 tff(10067,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB72, 1) <=> v121(constB71, 1)))),
% 217.99/140.58 inference(quant_inst,[status(thm)],[])).
% 217.99/140.58 tff(10068,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB72, B) <=> v121(constB71, B)))) | (v123(constB72, 1) <=> v121(constB71, 1))),
% 217.99/140.58 inference(modus_ponens,[status(thm)],[10067, 10066])).
% 217.99/140.58 tff(10069,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10068, 9746, 10060])).
% 217.99/140.58 tff(10070,plain,(v123(constB72, 1) <=> v121(constB71, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10071,plain,
% 217.99/140.58 ((~(v123(constB72, 1) <=> v121(constB71, 1))) | (~v123(constB72, 1)) | v121(constB71, 1)),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10072,plain,
% 217.99/140.58 ((~v123(constB72, 1)) | v121(constB71, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10071, 10070])).
% 217.99/140.58 tff(10073,plain,
% 217.99/140.58 (~v123(constB72, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10072, 10059])).
% 217.99/140.58 tff(10074,plain,
% 217.99/140.58 ((~(v84(constB72, 1) <=> v123(constB72, 1))) | (~v84(constB72, 1)) | v123(constB72, 1)),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10075,plain,
% 217.99/140.58 (~v84(constB72, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10074, 10073, 9693])).
% 217.99/140.58 tff(10076,plain,
% 217.99/140.58 ((~(v84(constB73, 1) <=> v84(constB72, 1))) | (~v84(constB73, 1)) | v84(constB72, 1)),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10077,plain,
% 217.99/140.58 ((~v84(constB73, 1)) | v84(constB72, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10076, 6029])).
% 217.99/140.58 tff(10078,plain,
% 217.99/140.58 (~v84(constB73, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10077, 10075])).
% 217.99/140.58 tff(10079,assumption,(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))), introduced(assumption)).
% 217.99/140.58 tff(10080,plain,
% 217.99/140.58 (~v84(constB73, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4099, 10033, 10079, 10078])).
% 217.99/140.58 tff(10081,plain,
% 217.99/140.58 (v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[6053, 4091])).
% 217.99/140.58 tff(10082,plain,
% 217.99/140.58 (~v115(constB73)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9782, 10081])).
% 217.99/140.58 tff(10083,plain,
% 217.99/140.58 ((v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))) | (~v84(constB73, 0))),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10084,plain,
% 217.99/140.58 (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10083, 4091])).
% 217.99/140.58 tff(10085,assumption,(~(v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))), introduced(assumption)).
% 217.99/140.58 tff(10086,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[3998, 656, 10085])).
% 217.99/140.58 tff(10087,plain,(v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10088,plain,
% 217.99/140.58 ((~v117(constB73)) | (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[6099, 10087])).
% 217.99/140.58 tff(10089,plain,
% 217.99/140.58 (~v117(constB73)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10088, 10084])).
% 217.99/140.58 tff(10090,plain,
% 217.99/140.58 ((v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)) | (~v84(constB73, 0))),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10091,plain,
% 217.99/140.58 (v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10090, 4091])).
% 217.99/140.58 tff(10092,plain,
% 217.99/140.58 (~v113(constB73)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9790, 10091])).
% 217.99/140.58 tff(10093,plain,
% 217.99/140.58 ((v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))) | v84(constB73, 2)),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10094,plain,
% 217.99/140.58 (v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10093, 4092])).
% 217.99/140.58 tff(10095,plain,
% 217.99/140.58 ((~v118(constB73)) | (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[6035, 9697])).
% 217.99/140.58 tff(10096,plain,
% 217.99/140.58 (~v118(constB73)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10095, 10094])).
% 217.99/140.58 tff(10097,plain,
% 217.99/140.58 (~v84(constB75, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5125, 9566])).
% 217.99/140.58 tff(10098,assumption,(~v115(constB73)), introduced(assumption)).
% 217.99/140.58 tff(10099,assumption,(~v113(constB73)), introduced(assumption)).
% 217.99/140.58 tff(10100,plain,
% 217.99/140.58 ((~(v84(constB74, 0) <=> v123(constB74, 0))) | (~v123(constB74, 0))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9816, 9566])).
% 217.99/140.58 tff(10101,plain,
% 217.99/140.58 (~v123(constB74, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10100, 4883])).
% 217.99/140.58 tff(10102,plain,
% 217.99/140.58 (~v121(constB73, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9814, 10101])).
% 217.99/140.58 tff(10103,plain,
% 217.99/140.58 (~v124(constB73, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9811, 10102])).
% 217.99/140.58 tff(10104,plain,
% 217.99/140.58 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[9808, 10103])).
% 217.99/140.58 tff(10105,plain,
% 217.99/140.58 (~v84(constB75, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4788, 4782, 4616, 8321])).
% 217.99/140.58 tff(10106,plain,
% 217.99/140.58 ((~(v84(constB75, 2) <=> v84(constB74, 2))) | (~v84(constB74, 2))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4143, 10105])).
% 217.99/140.58 tff(10107,plain,
% 217.99/140.58 (~v84(constB74, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10106, 4130])).
% 217.99/140.58 tff(10108,plain,
% 217.99/140.58 ((~(v84(constB74, 2) <=> v123(constB74, 2))) | (~v123(constB74, 2))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[8237, 10107])).
% 217.99/140.58 tff(10109,plain,
% 217.99/140.58 (~v123(constB74, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10108, 4944])).
% 217.99/140.58 tff(10110,plain,
% 217.99/140.58 ((~(v123(constB74, 2) <=> v121(constB73, 2))) | (~v121(constB73, 2))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[8234, 10109])).
% 217.99/140.58 tff(10111,plain,
% 217.99/140.58 (~v121(constB73, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10110, 4935])).
% 217.99/140.58 tff(10112,plain,
% 217.99/140.58 ((~(v121(constB73, 2) <=> v124(constB73, 2))) | (~v124(constB73, 2))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[8228, 10111])).
% 217.99/140.58 tff(10113,plain,
% 217.99/140.58 (~v124(constB73, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10112, 4926])).
% 217.99/140.58 tff(10114,plain,
% 217.99/140.58 ((~(v124(constB73, 2) <=> b100(2))) | v124(constB73, 2) | (~b100(2))),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10115,plain,
% 217.99/140.58 (~(v124(constB73, 2) <=> b100(2))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10114, 2250, 10113])).
% 217.99/140.58 tff(10116,plain,
% 217.99/140.58 ((~(v84(constB75, 1) <=> v84(constB74, 1))) | (~v84(constB74, 1))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4104, 4782])).
% 217.99/140.58 tff(10117,plain,
% 217.99/140.58 (~v84(constB74, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10116, 3915])).
% 217.99/140.58 tff(10118,plain,
% 217.99/140.58 ((~(v84(constB74, 1) <=> v123(constB74, 1))) | (~v123(constB74, 1))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[8292, 10117])).
% 217.99/140.58 tff(10119,plain,
% 217.99/140.58 (~v123(constB74, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10118, 5007])).
% 217.99/140.58 tff(10120,plain,
% 217.99/140.58 ((~(v123(constB74, 1) <=> v121(constB73, 1))) | (~v121(constB73, 1))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[8289, 10119])).
% 217.99/140.58 tff(10121,plain,
% 217.99/140.58 (~v121(constB73, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10120, 4998])).
% 217.99/140.58 tff(10122,plain,
% 217.99/140.58 ((~(v121(constB73, 1) <=> v124(constB73, 1))) | (~v124(constB73, 1))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[8286, 10121])).
% 217.99/140.58 tff(10123,plain,
% 217.99/140.58 (~v124(constB73, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10122, 4989])).
% 217.99/140.58 tff(10124,assumption,(~v124(constB73, 1)), introduced(assumption)).
% 217.99/140.58 tff(10125,plain,
% 217.99/140.58 ((~(v124(constB73, 1) <=> b010(1))) | v124(constB73, 1) | (~b010(1))),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10126,plain,
% 217.99/140.58 (~(v124(constB73, 1) <=> b010(1))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10125, 2513, 10124])).
% 217.99/140.58 tff(10127,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 1) <=> b010(1)))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10128,plain,
% 217.99/140.58 (($false | $false | (v124(constB73, 1) <=> b010(1))) <=> (v124(constB73, 1) <=> b010(1))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10129,plain,
% 217.99/140.58 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b010(1))) <=> ($false | $false | (v124(constB73, 1) <=> b010(1)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.58 tff(10130,plain,
% 217.99/140.58 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b010(1))) <=> (v124(constB73, 1) <=> b010(1))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10129, 10128])).
% 217.99/140.58 tff(10131,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 1) <=> b010(1)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[10130])).
% 217.99/140.58 tff(10132,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 1) <=> b010(1)))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10131, 10127])).
% 217.99/140.58 tff(10133,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b010(1)))),
% 217.99/140.58 inference(quant_inst,[status(thm)],[])).
% 217.99/140.58 tff(10134,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 1) <=> b010(1))),
% 217.99/140.58 inference(modus_ponens,[status(thm)],[10133, 10132])).
% 217.99/140.58 tff(10135,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10134, 4898, 10126])).
% 217.99/140.58 tff(10136,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | v124(constB73, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10137,plain,
% 217.99/140.58 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10136, 10123])).
% 217.99/140.58 tff(10138,assumption,(v114(constB73)), introduced(assumption)).
% 217.99/140.58 tff(10139,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))), introduced(assumption)).
% 217.99/140.58 tff(10140,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4915, 2418, 10139, 10138])).
% 217.99/140.58 tff(10141,plain,((~v114(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10142,plain,
% 217.99/140.58 (~v114(constB73)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10141, 10137])).
% 217.99/140.58 tff(10143,plain,
% 217.99/140.58 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))) | v114(constB73) | v116(constB73) | v118(constB73)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5100, 1807, 10099, 9784, 10098])).
% 217.99/140.58 tff(10144,plain,
% 217.99/140.58 (v116(constB73)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10143, 10142, 9559, 5081])).
% 217.99/140.58 tff(10145,assumption,(v116(constB73)), introduced(assumption)).
% 217.99/140.58 tff(10146,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))), introduced(assumption)).
% 217.99/140.58 tff(10147,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5063, 2230, 10146, 10145])).
% 217.99/140.58 tff(10148,plain,((~v116(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10149,plain,
% 217.99/140.58 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10148, 10144])).
% 217.99/140.58 tff(10150,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 2) <=> b100(2)))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10151,plain,
% 217.99/140.58 (($false | $false | (v124(constB73, 2) <=> b100(2))) <=> (v124(constB73, 2) <=> b100(2))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10152,plain,
% 217.99/140.58 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b100(2))) <=> ($false | $false | (v124(constB73, 2) <=> b100(2)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.58 tff(10153,plain,
% 217.99/140.58 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b100(2))) <=> (v124(constB73, 2) <=> b100(2))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10152, 10151])).
% 217.99/140.58 tff(10154,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 2) <=> b100(2)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[10153])).
% 217.99/140.58 tff(10155,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 2) <=> b100(2)))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10154, 10150])).
% 217.99/140.58 tff(10156,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b100(2)))),
% 217.99/140.58 inference(quant_inst,[status(thm)],[])).
% 217.99/140.58 tff(10157,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 2) <=> b100(2))),
% 217.99/140.58 inference(modus_ponens,[status(thm)],[10156, 10155])).
% 217.99/140.58 tff(10158,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10157, 10149, 10115])).
% 217.99/140.58 tff(10159,plain,(v84(constB75, 1) | v118(constB73) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B))) | v113(constB73) | v117(constB73) | v115(constB73) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | v84(constB75, 0) | (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10160,plain,
% 217.99/140.58 (v84(constB75, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10159, 10104, 9559, 10099, 9784, 10098, 4814, 10097, 8320])).
% 217.99/140.58 tff(10161,plain,
% 217.99/140.58 (v84(constB75, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4661, 10160, 10011, 10097])).
% 217.99/140.58 tff(10162,plain,
% 217.99/140.58 ((~(v84(constB75, 2) <=> v84(constB74, 2))) | v84(constB74, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4840, 10161])).
% 217.99/140.58 tff(10163,plain,
% 217.99/140.58 (v84(constB74, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10162, 4130])).
% 217.99/140.58 tff(10164,plain,
% 217.99/140.58 ((~(v84(constB74, 2) <=> v123(constB74, 2))) | v123(constB74, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4946, 10163])).
% 217.99/140.58 tff(10165,plain,
% 217.99/140.58 (v123(constB74, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10164, 4944])).
% 217.99/140.58 tff(10166,plain,
% 217.99/140.58 ((~(v123(constB74, 2) <=> v121(constB73, 2))) | v121(constB73, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4949, 10165])).
% 217.99/140.58 tff(10167,plain,
% 217.99/140.58 (v121(constB73, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10166, 4935])).
% 217.99/140.58 tff(10168,plain,
% 217.99/140.58 ((~(v121(constB73, 2) <=> v124(constB73, 2))) | v124(constB73, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4952, 10167])).
% 217.99/140.58 tff(10169,plain,
% 217.99/140.58 (v124(constB73, 2)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10168, 4926])).
% 217.99/140.58 tff(10170,plain,
% 217.99/140.58 ((~(v124(constB73, 2) <=> b010(2))) | (~v124(constB73, 2)) | b010(2)),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10171,plain,
% 217.99/140.58 (~(v124(constB73, 2) <=> b010(2))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10170, 2485, 10169])).
% 217.99/140.58 tff(10172,plain,
% 217.99/140.58 ((~(v84(constB75, 1) <=> v84(constB74, 1))) | v84(constB74, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4822, 10160])).
% 217.99/140.58 tff(10173,plain,
% 217.99/140.58 (v84(constB74, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10172, 3915])).
% 217.99/140.58 tff(10174,plain,
% 217.99/140.58 ((~(v84(constB74, 1) <=> v123(constB74, 1))) | v123(constB74, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5009, 10173])).
% 217.99/140.58 tff(10175,plain,
% 217.99/140.58 (v123(constB74, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10174, 5007])).
% 217.99/140.58 tff(10176,plain,
% 217.99/140.58 ((~(v123(constB74, 1) <=> v121(constB73, 1))) | v121(constB73, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5012, 10175])).
% 217.99/140.58 tff(10177,plain,
% 217.99/140.58 (v121(constB73, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10176, 4998])).
% 217.99/140.58 tff(10178,plain,
% 217.99/140.58 ((~(v121(constB73, 1) <=> v124(constB73, 1))) | v124(constB73, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5015, 10177])).
% 217.99/140.58 tff(10179,plain,
% 217.99/140.58 (v124(constB73, 1)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10178, 4989])).
% 217.99/140.58 tff(10180,plain,
% 217.99/140.58 ((~(v124(constB73, 1) <=> b100(1))) | (~v124(constB73, 1)) | b100(1)),
% 217.99/140.58 inference(tautology,[status(thm)],[])).
% 217.99/140.58 tff(10181,plain,
% 217.99/140.58 (~(v124(constB73, 1) <=> b100(1))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10180, 2274, 5018])).
% 217.99/140.58 tff(10182,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 1) <=> b100(1)))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10183,plain,
% 217.99/140.58 (($false | $false | (v124(constB73, 1) <=> b100(1))) <=> (v124(constB73, 1) <=> b100(1))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10184,plain,
% 217.99/140.58 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b100(1))) <=> ($false | $false | (v124(constB73, 1) <=> b100(1)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.58 tff(10185,plain,
% 217.99/140.58 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b100(1))) <=> (v124(constB73, 1) <=> b100(1))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10184, 10183])).
% 217.99/140.58 tff(10186,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 1) <=> b100(1)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[10185])).
% 217.99/140.58 tff(10187,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 1) <=> b100(1)))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10186, 10182])).
% 217.99/140.58 tff(10188,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b100(1)))),
% 217.99/140.58 inference(quant_inst,[status(thm)],[])).
% 217.99/140.58 tff(10189,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (v124(constB73, 1) <=> b100(1))),
% 217.99/140.58 inference(modus_ponens,[status(thm)],[10188, 10187])).
% 217.99/140.58 tff(10190,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10189, 5046, 10181])).
% 217.99/140.58 tff(10191,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))) | (~v124(constB73, 1))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10192,plain,
% 217.99/140.58 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10191, 10179])).
% 217.99/140.58 tff(10193,plain,
% 217.99/140.58 (~v116(constB73)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10148, 10192])).
% 217.99/140.58 tff(10194,plain,
% 217.99/140.58 (v114(constB73)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10143, 10193, 9559, 10104])).
% 217.99/140.58 tff(10195,plain,
% 217.99/140.58 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10141, 10194])).
% 217.99/140.58 tff(10196,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 2) <=> b010(2)))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10197,plain,
% 217.99/140.58 (($false | $false | (v124(constB73, 2) <=> b010(2))) <=> (v124(constB73, 2) <=> b010(2))),
% 217.99/140.58 inference(rewrite,[status(thm)],[])).
% 217.99/140.58 tff(10198,plain,
% 217.99/140.58 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b010(2))) <=> ($false | $false | (v124(constB73, 2) <=> b010(2)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.58 tff(10199,plain,
% 217.99/140.58 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b010(2))) <=> (v124(constB73, 2) <=> b010(2))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10198, 10197])).
% 217.99/140.58 tff(10200,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 2) <=> b010(2)))),
% 217.99/140.58 inference(monotonicity,[status(thm)],[10199])).
% 217.99/140.58 tff(10201,plain,
% 217.99/140.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 2) <=> b010(2)))),
% 217.99/140.58 inference(transitivity,[status(thm)],[10200, 10196])).
% 217.99/140.58 tff(10202,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b010(2)))),
% 217.99/140.58 inference(quant_inst,[status(thm)],[])).
% 217.99/140.58 tff(10203,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))) | (v124(constB73, 2) <=> b010(2))),
% 217.99/140.58 inference(modus_ponens,[status(thm)],[10202, 10201])).
% 217.99/140.58 tff(10204,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10203, 10195, 10171])).
% 217.99/140.58 tff(10205,plain,(v84(constB74, 0) | v118(constB73) | v113(constB73) | v117(constB73) | v115(constB73) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))) | v117(constB75)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10206,plain,
% 217.99/140.58 (v84(constB74, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10205, 10096, 10092, 10089, 10082, 4814, 10011, 8318])).
% 217.99/140.58 tff(10207,plain,
% 217.99/140.58 (v123(constB74, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[8267, 10206, 4814])).
% 217.99/140.58 tff(10208,plain,
% 217.99/140.58 (v121(constB73, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[8262, 10207])).
% 217.99/140.58 tff(10209,plain,
% 217.99/140.58 (v124(constB73, 0)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[8257, 10208])).
% 217.99/140.58 tff(10210,plain,
% 217.99/140.58 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b010(B)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4908, 10209])).
% 217.99/140.58 tff(10211,plain,
% 217.99/140.58 (~v114(constB73)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10141, 10210])).
% 217.99/140.58 tff(10212,plain,
% 217.99/140.58 (v114(constB73) | (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4516, 9774])).
% 217.99/140.58 tff(10213,plain,
% 217.99/140.58 (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10212, 10211])).
% 217.99/140.58 tff(10214,plain,
% 217.99/140.58 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[5056, 10209])).
% 217.99/140.58 tff(10215,plain,
% 217.99/140.58 (~v116(constB73)),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10148, 10214])).
% 217.99/140.58 tff(10216,plain,
% 217.99/140.58 (v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4087, 10215, 4084])).
% 217.99/140.58 tff(10217,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[4097, 10216, 10213, 4091, 4092])).
% 217.99/140.58 tff(10218,plain,(v84(constB73, 2) | (~v84(constB73, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))) | v117(constB75)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10219,plain,
% 217.99/140.58 ($false),
% 217.99/140.58 inference(unit_resolution,[status(thm)],[10218, 10080, 10033, 8318, 10011, 4814])).
% 217.99/140.58 tff(10220,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | v117(constB75) | (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))) | (~(v84(constB72, 0) <=> v123(constB72, 0))) | (~(v84(constB72, 1) <=> v123(constB72, 1)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.58 tff(10221,plain,
% 217.99/140.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | v117(constB75) | (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~(v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2)))) | (~(v84(constB72, 1) <=> v123(constB72, 1)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10220, 10010])).
% 217.99/140.59 tff(10222,plain,
% 217.99/140.59 ($false),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10221, 9821, 9819, 9699, 9693, 9694, 4814])).
% 217.99/140.59 tff(10223,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (~(v84(constB72, 1) <=> v123(constB72, 1))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | v118(constB73) | v117(constB73) | (~(v84(constB72, 2) <=> v123(constB72, 2)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.59 tff(10224,plain,
% 217.99/140.59 (v117(constB73)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10223, 9694, 4814, 9559, 9693, 9692])).
% 217.99/140.59 tff(10225,plain,
% 217.99/140.59 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[5042, 10224])).
% 217.99/140.59 tff(10226,plain,
% 217.99/140.59 ((~(v124(constB73, 0) <=> b101(0))) | v124(constB73, 0) | (~b101(0))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10227,plain,
% 217.99/140.59 (~(v124(constB73, 0) <=> b101(0))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10226, 2042, 9793])).
% 217.99/140.59 tff(10228,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 0) <=> b101(0)))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10229,plain,
% 217.99/140.59 (($false | $false | (v124(constB73, 0) <=> b101(0))) <=> (v124(constB73, 0) <=> b101(0))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10230,plain,
% 217.99/140.59 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b101(0))) <=> ($false | $false | (v124(constB73, 0) <=> b101(0)))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.59 tff(10231,plain,
% 217.99/140.59 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b101(0))) <=> (v124(constB73, 0) <=> b101(0))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10230, 10229])).
% 217.99/140.59 tff(10232,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 0) <=> b101(0)))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[10231])).
% 217.99/140.59 tff(10233,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 0) <=> b101(0)))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10232, 10228])).
% 217.99/140.59 tff(10234,plain,
% 217.99/140.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b101(0)))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10235,plain,
% 217.99/140.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 0) <=> b101(0))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10234, 10233])).
% 217.99/140.59 tff(10236,plain,
% 217.99/140.59 ($false),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10235, 5021, 10227])).
% 217.99/140.59 tff(10237,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | v124(constB73, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.59 tff(10238,plain,
% 217.99/140.59 (v124(constB73, 0)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10237, 5021])).
% 217.99/140.59 tff(10239,plain,
% 217.99/140.59 (v121(constB73, 0)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[9811, 10238])).
% 217.99/140.59 tff(10240,plain,
% 217.99/140.59 (v123(constB74, 0)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[9814, 10239])).
% 217.99/140.59 tff(10241,plain,
% 217.99/140.59 (v84(constB74, 0)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[9816, 10240, 9703])).
% 217.99/140.59 tff(10242,plain,
% 217.99/140.59 ((~(v124(constB73, 2) <=> b101(2))) | v124(constB73, 2) | (~b101(2))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10243,plain,
% 217.99/140.59 (~(v124(constB73, 2) <=> b101(2))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10242, 2354, 8211])).
% 217.99/140.59 tff(10244,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 2) <=> b101(2)))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10245,plain,
% 217.99/140.59 (($false | $false | (v124(constB73, 2) <=> b101(2))) <=> (v124(constB73, 2) <=> b101(2))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10246,plain,
% 217.99/140.59 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b101(2))) <=> ($false | $false | (v124(constB73, 2) <=> b101(2)))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.59 tff(10247,plain,
% 217.99/140.59 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b101(2))) <=> (v124(constB73, 2) <=> b101(2))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10246, 10245])).
% 217.99/140.59 tff(10248,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 2) <=> b101(2)))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[10247])).
% 217.99/140.59 tff(10249,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 2) <=> b101(2)))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10248, 10244])).
% 217.99/140.59 tff(10250,plain,
% 217.99/140.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB73, 2) <=> b101(2)))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10251,plain,
% 217.99/140.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (v124(constB73, 2) <=> b101(2))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10250, 10249])).
% 217.99/140.59 tff(10252,plain,
% 217.99/140.59 ($false),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10251, 5021, 10243])).
% 217.99/140.59 tff(10253,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | v124(constB73, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.59 tff(10254,plain,
% 217.99/140.59 (v124(constB73, 2)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10253, 5021])).
% 217.99/140.59 tff(10255,plain,
% 217.99/140.59 ((~(v121(constB73, 2) <=> v124(constB73, 2))) | v121(constB73, 2)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[8228, 10254])).
% 217.99/140.59 tff(10256,plain,
% 217.99/140.59 (v121(constB73, 2)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10255, 4926])).
% 217.99/140.59 tff(10257,plain,
% 217.99/140.59 (v123(constB74, 2)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[8235, 10256])).
% 217.99/140.59 tff(10258,plain,
% 217.99/140.59 (v84(constB74, 2)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[8237, 10257, 8209])).
% 217.99/140.59 tff(10259,plain,
% 217.99/140.59 (~v84(constB74, 1)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[5120, 10258, 4814, 10241])).
% 217.99/140.59 tff(10260,plain,
% 217.99/140.59 (v84(constB75, 0)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[4836, 10241])).
% 217.99/140.59 tff(10261,plain,
% 217.99/140.59 (v84(constB75, 2)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[8242, 10258])).
% 217.99/140.59 tff(10262,plain,
% 217.99/140.59 (v84(constB75, 1)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[4795, 10261, 9481, 10260])).
% 217.99/140.59 tff(10263,plain,
% 217.99/140.59 ((~v84(constB75, 1)) | v84(constB74, 1)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[4822, 8296])).
% 217.99/140.59 tff(10264,plain,
% 217.99/140.59 ($false),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10263, 10262, 10259])).
% 217.99/140.59 tff(10265,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))) | (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.59 tff(10266,plain,
% 217.99/140.59 (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10265, 10225, 4814])).
% 217.99/140.59 tff(10267,plain,
% 217.99/140.59 (v117(constB75)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10221, 9694, 9699, 4814, 9693, 10011])).
% 217.99/140.59 tff(10268,plain,
% 217.99/140.59 (~(v84(constB75, 1) | (~v84(constB75, 2)) | v84(constB75, 0))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[8303, 10267])).
% 217.99/140.59 tff(10269,plain,
% 217.99/140.59 (~v84(constB75, 0)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[4224, 10268])).
% 217.99/140.59 tff(10270,plain,
% 217.99/140.59 ((v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))) | v84(constB75, 0)),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10271,plain,
% 217.99/140.59 ($false),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10270, 10269, 10266])).
% 217.99/140.59 tff(10272,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~(v84(constB72, 1) <=> v123(constB72, 1))) | (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))) | v118(constB73) | (~(v84(constB72, 2) <=> v123(constB72, 2)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.59 tff(10273,plain,
% 217.99/140.59 (~((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10272, 9694, 9559, 4814, 9693, 9692])).
% 217.99/140.59 tff(10274,plain,
% 217.99/140.59 (((~v84(constB75, 1)) | v84(constB75, 2) | v84(constB75, 0)) | v84(constB75, 1)),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10275,plain,
% 217.99/140.59 (v84(constB75, 1)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10274, 10273])).
% 217.99/140.59 tff(10276,plain,
% 217.99/140.59 ($false),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[4107, 10266, 10275])).
% 217.99/140.59 tff(10277,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))) | v118(constB73) | (~(v84(constB72, 1) <=> v123(constB72, 1))) | (~(v84(constB72, 2) <=> v123(constB72, 2)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.59 tff(10278,plain,
% 217.99/140.59 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10277, 9691, 4614, 8645, 9679])).
% 217.99/140.59 tff(10279,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))), introduced(assumption)).
% 217.99/140.59 tff(10280,assumption,(v117(constB71)), introduced(assumption)).
% 217.99/140.59 tff(10281,plain,
% 217.99/140.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B))))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10282,plain,
% 217.99/140.59 (((~v117(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B))))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10283,plain,
% 217.99/140.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[10282])).
% 217.99/140.59 tff(10284,plain,
% 217.99/140.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B))))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10283, 10281])).
% 217.99/140.59 tff(10285,plain,
% 217.99/140.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10286,plain,
% 217.99/140.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10285, 10284])).
% 217.99/140.59 tff(10287,plain,
% 217.99/140.59 ($false),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10286, 2090, 10280, 10279])).
% 217.99/140.59 tff(10288,plain,((~v117(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.59 tff(10289,plain,
% 217.99/140.59 (~v117(constB71)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10288, 10278])).
% 217.99/140.59 tff(10290,plain,
% 217.99/140.59 (v117(constB71) | (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[5967, 9949])).
% 217.99/140.59 tff(10291,plain,
% 217.99/140.59 (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10290, 10289])).
% 217.99/140.59 tff(10292,plain,
% 217.99/140.59 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10293,plain,
% 217.99/140.59 (((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68)))))) <=> ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10294,plain,
% 217.99/140.59 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68)))))))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[10293])).
% 217.99/140.59 tff(10295,plain,
% 217.99/140.59 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10294, 10292])).
% 217.99/140.59 tff(10296,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68))))))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10297,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68)))))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10296, 10295])).
% 217.99/140.59 tff(10298,plain,
% 217.99/140.59 (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10297, 5280, 37])).
% 217.99/140.59 tff(10299,plain,
% 217.99/140.59 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68)))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10300,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68)))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10301,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10300, 10299])).
% 217.99/140.59 tff(10302,plain,
% 217.99/140.59 ((~v96(constB68)) <=> v98(constB68)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10301, 5280, 54])).
% 217.99/140.59 tff(10303,plain,
% 217.99/140.59 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67)))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10304,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67)))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10305,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10304, 10303])).
% 217.99/140.59 tff(10306,plain,
% 217.99/140.59 (v98(constB68) <=> v1(constB67)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10305, 5280, 68])).
% 217.99/140.59 tff(10307,plain,
% 217.99/140.59 ((~(v98(constB68) <=> v1(constB67))) | (~v98(constB68)) | v1(constB67)),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10308,plain,
% 217.99/140.59 ((~(v98(constB68) <=> v1(constB67))) | (~v98(constB68))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10307, 6219])).
% 217.99/140.59 tff(10309,plain,
% 217.99/140.59 (~v98(constB68)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10308, 10306])).
% 217.99/140.59 tff(10310,plain,
% 217.99/140.59 ((~((~v96(constB68)) <=> v98(constB68))) | v96(constB68) | v98(constB68)),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10311,plain,
% 217.99/140.59 (v96(constB68)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10310, 10309, 10302])).
% 217.99/140.59 tff(10312,plain,
% 217.99/140.59 (v1(constB68) <=> v1(constB68)),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10313,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68')).
% 217.99/140.59 tff(10314,plain,
% 217.99/140.59 (v1(constB68)),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10313, 10312])).
% 217.99/140.59 tff(10315,plain,
% 217.99/140.59 ((~((~v1(constB68)) | (~v96(constB68)))) | (~v1(constB68)) | (~v96(constB68))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10316,plain,
% 217.99/140.59 ((~((~v1(constB68)) | (~v96(constB68)))) | (~v96(constB68))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10315, 10314])).
% 217.99/140.59 tff(10317,plain,
% 217.99/140.59 (~((~v1(constB68)) | (~v96(constB68)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10316, 10311])).
% 217.99/140.59 tff(10318,plain,
% 217.99/140.59 ((~(v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68)))))) | v95(constB68) | ((~v1(constB68)) | (~v96(constB68)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10319,plain,
% 217.99/140.59 (v95(constB68)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10318, 10317, 10298])).
% 217.99/140.59 tff(10320,plain,
% 217.99/140.59 ((~((~v95(constB68)) | (~v104(constB68)))) | (~v95(constB68)) | (~v104(constB68))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10321,plain,
% 217.99/140.59 ((~((~v95(constB68)) | (~v104(constB68)))) | (~v104(constB68))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10320, 10319])).
% 217.99/140.59 tff(10322,plain,
% 217.99/140.59 (~((~v95(constB68)) | (~v104(constB68)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10321, 6182])).
% 217.99/140.59 tff(10323,plain,
% 217.99/140.59 ((~(v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68)))))) | v94(constB68) | ((~v95(constB68)) | (~v104(constB68)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10324,plain,
% 217.99/140.59 (v94(constB68) | ((~v95(constB68)) | (~v104(constB68)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10323, 5284])).
% 217.99/140.59 tff(10325,plain,
% 217.99/140.59 (v94(constB68)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10324, 10322])).
% 217.99/140.59 tff(10326,plain,
% 217.99/140.59 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B))))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10327,plain,
% 217.99/140.59 (((~v94(constB68)) | ![B: $int] : ((v84(constB68, B) <=> v123(constB68, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B))))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10328,plain,
% 217.99/140.59 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB68)) | ![B: $int] : ((v84(constB68, B) <=> v123(constB68, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[10327])).
% 217.99/140.59 tff(10329,plain,
% 217.99/140.59 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB68)) | ![B: $int] : ((v84(constB68, B) <=> v123(constB68, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B))))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10328, 10326])).
% 217.99/140.59 tff(10330,plain,
% 217.99/140.59 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB68)) | ![B: $int] : ((v84(constB68, B) <=> v123(constB68, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10331,plain,
% 217.99/140.59 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10330, 10329])).
% 217.99/140.59 tff(10332,plain,
% 217.99/140.59 ((~v94(constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10331, 1491])).
% 217.99/140.59 tff(10333,plain,
% 217.99/140.59 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10332, 10325])).
% 217.99/140.59 tff(10334,assumption,(~(v84(constB68, 0) <=> v123(constB68, 0))), introduced(assumption)).
% 217.99/140.59 tff(10335,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))), introduced(assumption)).
% 217.99/140.59 tff(10336,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 0) <=> v123(constB68, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 0) <=> v123(constB68, 0)))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10337,plain,
% 217.99/140.59 (($false | $false | (v84(constB68, 0) <=> v123(constB68, 0))) <=> (v84(constB68, 0) <=> v123(constB68, 0))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10338,plain,
% 217.99/140.59 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB68, 0) <=> v123(constB68, 0))) <=> ($false | $false | (v84(constB68, 0) <=> v123(constB68, 0)))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.59 tff(10339,plain,
% 217.99/140.59 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB68, 0) <=> v123(constB68, 0))) <=> (v84(constB68, 0) <=> v123(constB68, 0))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10338, 10337])).
% 217.99/140.59 tff(10340,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB68, 0) <=> v123(constB68, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 0) <=> v123(constB68, 0)))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[10339])).
% 217.99/140.59 tff(10341,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB68, 0) <=> v123(constB68, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 0) <=> v123(constB68, 0)))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10340, 10336])).
% 217.99/140.59 tff(10342,plain,
% 217.99/140.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB68, 0) <=> v123(constB68, 0)))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10343,plain,
% 217.99/140.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 0) <=> v123(constB68, 0))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10342, 10341])).
% 217.99/140.59 tff(10344,plain,
% 217.99/140.59 ($false),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10343, 10335, 10334])).
% 217.99/140.59 tff(10345,plain,((v84(constB68, 0) <=> v123(constB68, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.59 tff(10346,plain,
% 217.99/140.59 (v84(constB68, 0) <=> v123(constB68, 0)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10345, 10333])).
% 217.99/140.59 tff(10347,assumption,(~(v84(constB68, 1) <=> v123(constB68, 1))), introduced(assumption)).
% 217.99/140.59 tff(10348,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 1) <=> v123(constB68, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 1) <=> v123(constB68, 1)))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10349,plain,
% 217.99/140.59 (($false | $false | (v84(constB68, 1) <=> v123(constB68, 1))) <=> (v84(constB68, 1) <=> v123(constB68, 1))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10350,plain,
% 217.99/140.59 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB68, 1) <=> v123(constB68, 1))) <=> ($false | $false | (v84(constB68, 1) <=> v123(constB68, 1)))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.59 tff(10351,plain,
% 217.99/140.59 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB68, 1) <=> v123(constB68, 1))) <=> (v84(constB68, 1) <=> v123(constB68, 1))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10350, 10349])).
% 217.99/140.59 tff(10352,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB68, 1) <=> v123(constB68, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 1) <=> v123(constB68, 1)))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[10351])).
% 217.99/140.59 tff(10353,plain,
% 217.99/140.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB68, 1) <=> v123(constB68, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 1) <=> v123(constB68, 1)))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10352, 10348])).
% 217.99/140.59 tff(10354,plain,
% 217.99/140.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB68, 1) <=> v123(constB68, 1)))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10355,plain,
% 217.99/140.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 1) <=> v123(constB68, 1))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10354, 10353])).
% 217.99/140.59 tff(10356,plain,
% 217.99/140.59 ($false),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10355, 10335, 10347])).
% 217.99/140.59 tff(10357,plain,((v84(constB68, 1) <=> v123(constB68, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.59 tff(10358,plain,
% 217.99/140.59 (v84(constB68, 1) <=> v123(constB68, 1)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10357, 10333])).
% 217.99/140.59 tff(10359,plain,
% 217.99/140.59 (v108(constB73) | v119(constB73)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[6115, 4550])).
% 217.99/140.59 tff(10360,assumption,(~v94(constB70)), introduced(assumption)).
% 217.99/140.59 tff(10361,assumption,(~v84(constB70, 2)), introduced(assumption)).
% 217.99/140.59 tff(10362,plain,
% 217.99/140.59 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[5673, 10360])).
% 217.99/140.59 tff(10363,plain,
% 217.99/140.59 (v84(constB70, 0) <=> v84(constB69, 0)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[5759, 10362])).
% 217.99/140.59 tff(10364,assumption,(~v84(constB69, 1)), introduced(assumption)).
% 217.99/140.59 tff(10365,plain,
% 217.99/140.59 ((~(v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70)))))) | v94(constB70) | ((~v95(constB70)) | (~v104(constB70)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10366,plain,
% 217.99/140.59 (v94(constB70) | ((~v95(constB70)) | (~v104(constB70)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10365, 5663])).
% 217.99/140.59 tff(10367,plain,
% 217.99/140.59 ((~v95(constB70)) | (~v104(constB70))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10366, 10360])).
% 217.99/140.59 tff(10368,plain,
% 217.99/140.59 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10369,plain,
% 217.99/140.59 (((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70)))))) <=> ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10370,plain,
% 217.99/140.59 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70)))))))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[10369])).
% 217.99/140.59 tff(10371,plain,
% 217.99/140.59 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10370, 10368])).
% 217.99/140.59 tff(10372,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70))))))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10373,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70)))))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10372, 10371])).
% 217.99/140.59 tff(10374,plain,
% 217.99/140.59 (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10373, 5650, 37])).
% 217.99/140.59 tff(10375,plain,
% 217.99/140.59 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70)))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10376,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70)))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10377,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10376, 10375])).
% 217.99/140.59 tff(10378,plain,
% 217.99/140.59 ((~v96(constB70)) <=> v98(constB70)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10377, 5650, 54])).
% 217.99/140.59 tff(10379,plain,
% 217.99/140.59 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69)))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10380,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69)))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10381,plain,
% 217.99/140.59 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69))),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10380, 10379])).
% 217.99/140.59 tff(10382,plain,
% 217.99/140.59 (v98(constB70) <=> v1(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10381, 5650, 68])).
% 217.99/140.59 tff(10383,plain,
% 217.99/140.59 ((~(v98(constB70) <=> v1(constB69))) | (~v98(constB70)) | v1(constB69)),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10384,plain,
% 217.99/140.59 ((~(v98(constB70) <=> v1(constB69))) | (~v98(constB70))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10383, 5248])).
% 217.99/140.59 tff(10385,plain,
% 217.99/140.59 (~v98(constB70)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10384, 10382])).
% 217.99/140.59 tff(10386,plain,
% 217.99/140.59 ((~((~v96(constB70)) <=> v98(constB70))) | v96(constB70) | v98(constB70)),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10387,plain,
% 217.99/140.59 (v96(constB70)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10386, 10385, 10378])).
% 217.99/140.59 tff(10388,plain,
% 217.99/140.59 (v1(constB70) <=> v1(constB70)),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10389,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70')).
% 217.99/140.59 tff(10390,plain,
% 217.99/140.59 (v1(constB70)),
% 217.99/140.59 inference(modus_ponens,[status(thm)],[10389, 10388])).
% 217.99/140.59 tff(10391,plain,
% 217.99/140.59 ((~((~v1(constB70)) | (~v96(constB70)))) | (~v1(constB70)) | (~v96(constB70))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10392,plain,
% 217.99/140.59 ((~((~v1(constB70)) | (~v96(constB70)))) | (~v96(constB70))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10391, 10390])).
% 217.99/140.59 tff(10393,plain,
% 217.99/140.59 (~((~v1(constB70)) | (~v96(constB70)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10392, 10387])).
% 217.99/140.59 tff(10394,plain,
% 217.99/140.59 ((~(v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70)))))) | v95(constB70) | ((~v1(constB70)) | (~v96(constB70)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10395,plain,
% 217.99/140.59 (v95(constB70)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10394, 10393, 10374])).
% 217.99/140.59 tff(10396,plain,
% 217.99/140.59 ((~((~v95(constB70)) | (~v104(constB70)))) | (~v95(constB70)) | (~v104(constB70))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10397,plain,
% 217.99/140.59 ((~((~v95(constB70)) | (~v104(constB70)))) | (~v104(constB70))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10396, 10395])).
% 217.99/140.59 tff(10398,plain,
% 217.99/140.59 (~v104(constB70)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10397, 10367])).
% 217.99/140.59 tff(10399,plain,
% 217.99/140.59 ((~(v104(constB70) <=> v102(constB69))) | v104(constB70) | (~v102(constB69))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10400,plain,
% 217.99/140.59 (v104(constB70) | (~v102(constB69))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10399, 5654])).
% 217.99/140.59 tff(10401,plain,
% 217.99/140.59 (~v102(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10400, 10398])).
% 217.99/140.59 tff(10402,assumption,(~(v108(constB69) <=> (v109(constB69) | v118(constB69)))), introduced(assumption)).
% 217.99/140.59 tff(10403,plain,
% 217.99/140.59 ($false),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[5485, 428, 10402])).
% 217.99/140.59 tff(10404,plain,(v108(constB69) <=> (v109(constB69) | v118(constB69))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.59 tff(10405,assumption,(~v84(constB69, 0)), introduced(assumption)).
% 217.99/140.59 tff(10406,assumption,(~v102(constB69)), introduced(assumption)).
% 217.99/140.59 tff(10407,plain,
% 217.99/140.59 (~v104(constB70)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[5656, 10406])).
% 217.99/140.59 tff(10408,plain,
% 217.99/140.59 ((~v95(constB70)) | (~v104(constB70))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[5658, 10407])).
% 217.99/140.59 tff(10409,plain,
% 217.99/140.59 (~v94(constB70)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[5665, 10408])).
% 217.99/140.59 tff(10410,plain,
% 217.99/140.59 (v84(constB70, 1) <=> v84(constB69, 1)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[5800, 10362])).
% 217.99/140.59 tff(10411,plain,
% 217.99/140.59 ((~(v84(constB70, 1) <=> v84(constB69, 1))) | (~v84(constB70, 1)) | v84(constB69, 1)),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10412,plain,
% 217.99/140.59 ((~(v84(constB70, 1) <=> v84(constB69, 1))) | (~v84(constB70, 1))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10411, 10364])).
% 217.99/140.59 tff(10413,plain,
% 217.99/140.59 (~v84(constB70, 1)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10412, 10410])).
% 217.99/140.59 tff(10414,assumption,(~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))), introduced(assumption)).
% 217.99/140.59 tff(10415,plain,
% 217.99/140.59 ((~(v113(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))))) | v113(constB69) | (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10416,plain,
% 217.99/140.59 ((~(v113(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))))) | v113(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10415, 10414])).
% 217.99/140.59 tff(10417,plain,
% 217.99/140.59 (v113(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10416, 5531])).
% 217.99/140.59 tff(10418,assumption,(v84(constB70, 2)), introduced(assumption)).
% 217.99/140.59 tff(10419,assumption,(v113(constB69)), introduced(assumption)).
% 217.99/140.59 tff(10420,plain,
% 217.99/140.59 ((v113(constB69) | v114(constB69)) | (~v113(constB69))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10421,plain,
% 217.99/140.59 (v113(constB69) | v114(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10420, 10419])).
% 217.99/140.59 tff(10422,plain,
% 217.99/140.59 ((~(v112(constB69) <=> (v113(constB69) | v114(constB69)))) | v112(constB69) | (~(v113(constB69) | v114(constB69)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10423,plain,
% 217.99/140.59 ((~(v112(constB69) <=> (v113(constB69) | v114(constB69)))) | v112(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10422, 10421])).
% 217.99/140.59 tff(10424,plain,
% 217.99/140.59 (v112(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10423, 5529])).
% 217.99/140.59 tff(10425,plain,
% 217.99/140.59 ((v112(constB69) | v115(constB69)) | (~v112(constB69))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10426,plain,
% 217.99/140.59 (v112(constB69) | v115(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10425, 10424])).
% 217.99/140.59 tff(10427,plain,
% 217.99/140.59 ((~(v111(constB69) <=> (v112(constB69) | v115(constB69)))) | v111(constB69) | (~(v112(constB69) | v115(constB69)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10428,plain,
% 217.99/140.59 (v111(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10427, 10426, 5527])).
% 217.99/140.59 tff(10429,plain,
% 217.99/140.59 ((v111(constB69) | v116(constB69)) | (~v111(constB69))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10430,plain,
% 217.99/140.59 (v111(constB69) | v116(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10429, 10428])).
% 217.99/140.59 tff(10431,plain,
% 217.99/140.59 ((~(v110(constB69) <=> (v111(constB69) | v116(constB69)))) | v110(constB69) | (~(v111(constB69) | v116(constB69)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10432,plain,
% 217.99/140.59 (v110(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10431, 10430, 5490])).
% 217.99/140.59 tff(10433,plain,
% 217.99/140.59 ((v110(constB69) | v117(constB69)) | (~v110(constB69))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10434,plain,
% 217.99/140.59 (v110(constB69) | v117(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10433, 10432])).
% 217.99/140.59 tff(10435,plain,
% 217.99/140.59 ((~(v109(constB69) <=> (v110(constB69) | v117(constB69)))) | v109(constB69) | (~(v110(constB69) | v117(constB69)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10436,plain,
% 217.99/140.59 (v109(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10435, 10434, 5488])).
% 217.99/140.59 tff(10437,plain,
% 217.99/140.59 ((v109(constB69) | v118(constB69)) | (~v109(constB69))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10438,plain,
% 217.99/140.59 (v109(constB69) | v118(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10437, 10436])).
% 217.99/140.59 tff(10439,plain,
% 217.99/140.59 ((~(v108(constB69) <=> (v109(constB69) | v118(constB69)))) | v108(constB69) | (~(v109(constB69) | v118(constB69)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10440,plain,
% 217.99/140.59 (v108(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10439, 10438, 5486])).
% 217.99/140.59 tff(10441,plain,
% 217.99/140.59 ((v108(constB69) | v119(constB69)) | (~v108(constB69))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10442,plain,
% 217.99/140.59 (v108(constB69) | v119(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10441, 10440])).
% 217.99/140.59 tff(10443,plain,
% 217.99/140.59 ((~(v107(constB69) <=> (v108(constB69) | v119(constB69)))) | v107(constB69) | (~(v108(constB69) | v119(constB69)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10444,plain,
% 217.99/140.59 (v107(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10443, 10442, 5229])).
% 217.99/140.59 tff(10445,plain,
% 217.99/140.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB69)) <=> v105(constB69))),
% 217.99/140.59 inference(quant_inst,[status(thm)],[])).
% 217.99/140.59 tff(10446,plain,
% 217.99/140.59 ((~v120(constB69)) <=> v105(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10445, 144])).
% 217.99/140.59 tff(10447,plain,
% 217.99/140.59 ((~((~v120(constB69)) <=> v105(constB69))) | v120(constB69) | v105(constB69)),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10448,plain,
% 217.99/140.59 ((~((~v120(constB69)) <=> v105(constB69))) | v120(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10447, 5639])).
% 217.99/140.59 tff(10449,plain,
% 217.99/140.59 (v120(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10448, 10446])).
% 217.99/140.59 tff(10450,plain,
% 217.99/140.59 ((~((~v107(constB69)) | (~v120(constB69)))) | (~v107(constB69)) | (~v120(constB69))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10451,plain,
% 217.99/140.59 ((~((~v107(constB69)) | (~v120(constB69)))) | (~v107(constB69))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10450, 10449])).
% 217.99/140.59 tff(10452,plain,
% 217.99/140.59 (~((~v107(constB69)) | (~v120(constB69)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10451, 10444])).
% 217.99/140.59 tff(10453,plain,
% 217.99/140.59 ((~(v106(constB69) <=> (~((~v107(constB69)) | (~v120(constB69)))))) | v106(constB69) | ((~v107(constB69)) | (~v120(constB69)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10454,plain,
% 217.99/140.59 (v106(constB69) | ((~v107(constB69)) | (~v120(constB69)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10453, 5629])).
% 217.99/140.59 tff(10455,plain,
% 217.99/140.59 (v106(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10454, 10452])).
% 217.99/140.59 tff(10456,plain,
% 217.99/140.59 ((v105(constB69) | v106(constB69)) | (~v106(constB69))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10457,plain,
% 217.99/140.59 (v105(constB69) | v106(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10456, 10455])).
% 217.99/140.59 tff(10458,plain,
% 217.99/140.59 ((~(v102(constB69) <=> (v105(constB69) | v106(constB69)))) | v102(constB69) | (~(v105(constB69) | v106(constB69)))),
% 217.99/140.59 inference(tautology,[status(thm)],[])).
% 217.99/140.59 tff(10459,plain,
% 217.99/140.59 (v102(constB69) | (~(v105(constB69) | v106(constB69)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10458, 5644])).
% 217.99/140.59 tff(10460,plain,
% 217.99/140.59 (v102(constB69)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10459, 10457])).
% 217.99/140.59 tff(10461,plain,
% 217.99/140.59 (v104(constB70)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10400, 10460])).
% 217.99/140.59 tff(10462,plain,
% 217.99/140.59 (~((~v95(constB70)) | (~v104(constB70)))),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10397, 10461])).
% 217.99/140.59 tff(10463,plain,
% 217.99/140.59 (v94(constB70)),
% 217.99/140.59 inference(unit_resolution,[status(thm)],[10366, 10462])).
% 217.99/140.59 tff(10464,plain,
% 217.99/140.59 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B))))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10465,plain,
% 217.99/140.59 (((~v94(constB70)) | ![B: $int] : ((v84(constB70, B) <=> v123(constB70, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B))))),
% 217.99/140.59 inference(rewrite,[status(thm)],[])).
% 217.99/140.59 tff(10466,plain,
% 217.99/140.59 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB70)) | ![B: $int] : ((v84(constB70, B) <=> v123(constB70, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))))),
% 217.99/140.59 inference(monotonicity,[status(thm)],[10465])).
% 217.99/140.59 tff(10467,plain,
% 217.99/140.59 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB70)) | ![B: $int] : ((v84(constB70, B) <=> v123(constB70, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B))))),
% 217.99/140.59 inference(transitivity,[status(thm)],[10466, 10464])).
% 217.99/140.59 tff(10468,plain,
% 217.99/140.59 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB70)) | ![B: $int] : ((v84(constB70, B) <=> v123(constB70, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10469,plain,
% 217.99/140.60 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10468, 10467])).
% 217.99/140.60 tff(10470,plain,
% 217.99/140.60 ((~v94(constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10469, 1491])).
% 217.99/140.60 tff(10471,plain,
% 217.99/140.60 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10470, 10463])).
% 217.99/140.60 tff(10472,assumption,(~(v84(constB70, 2) <=> v123(constB70, 2))), introduced(assumption)).
% 217.99/140.60 tff(10473,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))), introduced(assumption)).
% 217.99/140.60 tff(10474,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 2) <=> v123(constB70, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 2) <=> v123(constB70, 2)))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10475,plain,
% 217.99/140.60 (($false | $false | (v84(constB70, 2) <=> v123(constB70, 2))) <=> (v84(constB70, 2) <=> v123(constB70, 2))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10476,plain,
% 217.99/140.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB70, 2) <=> v123(constB70, 2))) <=> ($false | $false | (v84(constB70, 2) <=> v123(constB70, 2)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.60 tff(10477,plain,
% 217.99/140.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB70, 2) <=> v123(constB70, 2))) <=> (v84(constB70, 2) <=> v123(constB70, 2))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10476, 10475])).
% 217.99/140.60 tff(10478,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB70, 2) <=> v123(constB70, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 2) <=> v123(constB70, 2)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[10477])).
% 217.99/140.60 tff(10479,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB70, 2) <=> v123(constB70, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 2) <=> v123(constB70, 2)))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10478, 10474])).
% 217.99/140.60 tff(10480,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB70, 2) <=> v123(constB70, 2)))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10481,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 2) <=> v123(constB70, 2))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10480, 10479])).
% 217.99/140.60 tff(10482,plain,
% 217.99/140.60 ($false),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10481, 10473, 10472])).
% 217.99/140.60 tff(10483,plain,((v84(constB70, 2) <=> v123(constB70, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.60 tff(10484,plain,
% 217.99/140.60 (v84(constB70, 2) <=> v123(constB70, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10483, 10471])).
% 217.99/140.60 tff(10485,plain,
% 217.99/140.60 ((~(v84(constB70, 2) <=> v123(constB70, 2))) | (~v84(constB70, 2)) | v123(constB70, 2)),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10486,plain,
% 217.99/140.60 (v123(constB70, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10485, 10484, 10418])).
% 217.99/140.60 tff(10487,assumption,(~(v123(constB70, 2) <=> v121(constB69, 2))), introduced(assumption)).
% 217.99/140.60 tff(10488,plain,
% 217.99/140.60 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B))))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10489,plain,
% 217.99/140.60 (((~nextState(constB69, constB70)) | ![B: $int] : ((v123(constB70, B) <=> v121(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B))))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10490,plain,
% 217.99/140.60 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB69, constB70)) | ![B: $int] : ((v123(constB70, B) <=> v121(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[10489])).
% 217.99/140.60 tff(10491,plain,
% 217.99/140.60 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB69, constB70)) | ![B: $int] : ((v123(constB70, B) <=> v121(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B))))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10490, 10488])).
% 217.99/140.60 tff(10492,plain,
% 217.99/140.60 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB69, constB70)) | ![B: $int] : ((v123(constB70, B) <=> v121(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10493,plain,
% 217.99/140.60 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB69, constB70)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10492, 10491])).
% 217.99/140.60 tff(10494,plain,
% 217.99/140.60 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10493, 5650, 1527])).
% 217.99/140.60 tff(10495,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 2) <=> v121(constB69, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 2) <=> v121(constB69, 2)))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10496,plain,
% 217.99/140.60 (($false | $false | (v123(constB70, 2) <=> v121(constB69, 2))) <=> (v123(constB70, 2) <=> v121(constB69, 2))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10497,plain,
% 217.99/140.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB70, 2) <=> v121(constB69, 2))) <=> ($false | $false | (v123(constB70, 2) <=> v121(constB69, 2)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.60 tff(10498,plain,
% 217.99/140.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB70, 2) <=> v121(constB69, 2))) <=> (v123(constB70, 2) <=> v121(constB69, 2))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10497, 10496])).
% 217.99/140.60 tff(10499,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB70, 2) <=> v121(constB69, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 2) <=> v121(constB69, 2)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[10498])).
% 217.99/140.60 tff(10500,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB70, 2) <=> v121(constB69, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 2) <=> v121(constB69, 2)))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10499, 10495])).
% 217.99/140.60 tff(10501,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB70, 2) <=> v121(constB69, 2)))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10502,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 2) <=> v121(constB69, 2))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10501, 10500])).
% 217.99/140.60 tff(10503,plain,
% 217.99/140.60 ($false),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10502, 10494, 10487])).
% 217.99/140.60 tff(10504,plain,(v123(constB70, 2) <=> v121(constB69, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.60 tff(10505,plain,
% 217.99/140.60 ((~(v123(constB70, 2) <=> v121(constB69, 2))) | (~v123(constB70, 2)) | v121(constB69, 2)),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10506,plain,
% 217.99/140.60 ((~v123(constB70, 2)) | v121(constB69, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10505, 10504])).
% 217.99/140.60 tff(10507,plain,
% 217.99/140.60 (v121(constB69, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10506, 10486])).
% 217.99/140.60 tff(10508,assumption,(~(v121(constB69, 2) <=> v124(constB69, 2))), introduced(assumption)).
% 217.99/140.60 tff(10509,plain,
% 217.99/140.60 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB69) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB69) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B))))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10510,plain,
% 217.99/140.60 ((v105(constB69) | ![B: $int] : ((v121(constB69, B) <=> v124(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB69) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B))))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10511,plain,
% 217.99/140.60 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB69) | ![B: $int] : ((v121(constB69, B) <=> v124(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB69) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[10510])).
% 217.99/140.60 tff(10512,plain,
% 217.99/140.60 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB69) | ![B: $int] : ((v121(constB69, B) <=> v124(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB69) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B))))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10511, 10509])).
% 217.99/140.60 tff(10513,plain,
% 217.99/140.60 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB69) | ![B: $int] : ((v121(constB69, B) <=> v124(constB69, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10514,plain,
% 217.99/140.60 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB69) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 217.99/140.60 tff(10515,plain,
% 217.99/140.60 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10514, 1562, 5639])).
% 217.99/140.60 tff(10516,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 2) <=> v124(constB69, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 2) <=> v124(constB69, 2)))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10517,plain,
% 217.99/140.60 (($false | $false | (v121(constB69, 2) <=> v124(constB69, 2))) <=> (v121(constB69, 2) <=> v124(constB69, 2))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10518,plain,
% 217.99/140.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB69, 2) <=> v124(constB69, 2))) <=> ($false | $false | (v121(constB69, 2) <=> v124(constB69, 2)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.60 tff(10519,plain,
% 217.99/140.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB69, 2) <=> v124(constB69, 2))) <=> (v121(constB69, 2) <=> v124(constB69, 2))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10518, 10517])).
% 217.99/140.60 tff(10520,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB69, 2) <=> v124(constB69, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 2) <=> v124(constB69, 2)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[10519])).
% 217.99/140.60 tff(10521,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB69, 2) <=> v124(constB69, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 2) <=> v124(constB69, 2)))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10520, 10516])).
% 217.99/140.60 tff(10522,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB69, 2) <=> v124(constB69, 2)))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10523,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 2) <=> v124(constB69, 2))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10522, 10521])).
% 217.99/140.60 tff(10524,plain,
% 217.99/140.60 ($false),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10523, 10515, 10508])).
% 217.99/140.60 tff(10525,plain,(v121(constB69, 2) <=> v124(constB69, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.60 tff(10526,plain,
% 217.99/140.60 ((~(v121(constB69, 2) <=> v124(constB69, 2))) | (~v121(constB69, 2)) | v124(constB69, 2)),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10527,plain,
% 217.99/140.60 ((~v121(constB69, 2)) | v124(constB69, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10526, 10525])).
% 217.99/140.60 tff(10528,plain,
% 217.99/140.60 (v124(constB69, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10527, 10507])).
% 217.99/140.60 tff(10529,plain,
% 217.99/140.60 ((~(v124(constB69, 2) <=> b001(2))) | (~v124(constB69, 2)) | b001(2)),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10530,plain,
% 217.99/140.60 (~(v124(constB69, 2) <=> b001(2))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10529, 1831, 10528])).
% 217.99/140.60 tff(10531,plain,
% 217.99/140.60 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10532,plain,
% 217.99/140.60 (((~v113(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10533,plain,
% 217.99/140.60 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[10532])).
% 217.99/140.60 tff(10534,plain,
% 217.99/140.60 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10533, 10531])).
% 217.99/140.60 tff(10535,plain,
% 217.99/140.60 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10536,plain,
% 217.99/140.60 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10535, 10534])).
% 217.99/140.60 tff(10537,plain,
% 217.99/140.60 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10536, 2117, 10419])).
% 217.99/140.60 tff(10538,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 2) <=> b001(2)))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10539,plain,
% 217.99/140.60 (($false | $false | (v124(constB69, 2) <=> b001(2))) <=> (v124(constB69, 2) <=> b001(2))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10540,plain,
% 217.99/140.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b001(2))) <=> ($false | $false | (v124(constB69, 2) <=> b001(2)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.60 tff(10541,plain,
% 217.99/140.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b001(2))) <=> (v124(constB69, 2) <=> b001(2))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10540, 10539])).
% 217.99/140.60 tff(10542,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 2) <=> b001(2)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[10541])).
% 217.99/140.60 tff(10543,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 2) <=> b001(2)))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10542, 10538])).
% 217.99/140.60 tff(10544,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b001(2)))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10545,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 2) <=> b001(2))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10544, 10543])).
% 217.99/140.60 tff(10546,plain,
% 217.99/140.60 ($false),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10545, 10537, 10530])).
% 217.99/140.60 tff(10547,plain,((~v113(constB69)) | (~v84(constB70, 2))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.60 tff(10548,plain,
% 217.99/140.60 (~v84(constB70, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10547, 10417])).
% 217.99/140.60 tff(10549,plain,
% 217.99/140.60 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v84(constB69, B)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[5673, 10409])).
% 217.99/140.60 tff(10550,plain,
% 217.99/140.60 (v84(constB70, 1) <=> v84(constB69, 1)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[5800, 10549])).
% 217.99/140.60 tff(10551,assumption,(~v84(constB70, 1)), introduced(assumption)).
% 217.99/140.60 tff(10552,plain,
% 217.99/140.60 ((~(v84(constB70, 1) <=> v84(constB69, 1))) | (~v84(constB69, 1))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[5802, 10551])).
% 217.99/140.60 tff(10553,plain,
% 217.99/140.60 (~v84(constB69, 1)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10552, 10550])).
% 217.99/140.60 tff(10554,plain,
% 217.99/140.60 (v84(constB70, 2) <=> v84(constB69, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[5682, 10549])).
% 217.99/140.60 tff(10555,plain,
% 217.99/140.60 ((~(v84(constB70, 2) <=> v84(constB69, 2))) | (~v84(constB69, 2))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[5684, 10361])).
% 217.99/140.60 tff(10556,plain,
% 217.99/140.60 (~v84(constB69, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10555, 10554])).
% 217.99/140.60 tff(10557,plain,
% 217.99/140.60 (v84(constB70, 0) <=> v84(constB69, 0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[5759, 10549])).
% 217.99/140.60 tff(10558,assumption,(~v84(constB70, 0)), introduced(assumption)).
% 217.99/140.60 tff(10559,plain,
% 217.99/140.60 ((~(v84(constB70, 0) <=> v84(constB69, 0))) | (~v84(constB69, 0))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[5761, 10558])).
% 217.99/140.60 tff(10560,plain,
% 217.99/140.60 (~v84(constB69, 0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10559, 10557])).
% 217.99/140.60 tff(10561,plain,
% 217.99/140.60 ((~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))) | v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10562,plain,
% 217.99/140.60 (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10561, 10560, 10556, 10553])).
% 217.99/140.60 tff(10563,plain,
% 217.99/140.60 ((~(v113(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))))) | v113(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10415, 10562])).
% 217.99/140.60 tff(10564,plain,
% 217.99/140.60 (v113(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10563, 5531])).
% 217.99/140.60 tff(10565,plain,
% 217.99/140.60 (v113(constB69) | v114(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10420, 10564])).
% 217.99/140.60 tff(10566,plain,
% 217.99/140.60 ((~(v112(constB69) <=> (v113(constB69) | v114(constB69)))) | v112(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10422, 10565])).
% 217.99/140.60 tff(10567,plain,
% 217.99/140.60 (v112(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10566, 5529])).
% 217.99/140.60 tff(10568,plain,
% 217.99/140.60 (v112(constB69) | v115(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10425, 10567])).
% 217.99/140.60 tff(10569,plain,
% 217.99/140.60 (v111(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10427, 10568, 5527])).
% 217.99/140.60 tff(10570,plain,
% 217.99/140.60 (~(v105(constB69) | v106(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10459, 10406])).
% 217.99/140.60 tff(10571,plain,
% 217.99/140.60 (~v106(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10456, 10570])).
% 217.99/140.60 tff(10572,plain,
% 217.99/140.60 ((~v107(constB69)) | (~v120(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10454, 10571])).
% 217.99/140.60 tff(10573,plain,
% 217.99/140.60 (~v107(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10451, 10572])).
% 217.99/140.60 tff(10574,plain,
% 217.99/140.60 ((~(v107(constB69) <=> (v108(constB69) | v119(constB69)))) | (~(v108(constB69) | v119(constB69)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10443, 10573])).
% 217.99/140.60 tff(10575,plain,
% 217.99/140.60 (~(v108(constB69) | v119(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10574, 5229])).
% 217.99/140.60 tff(10576,plain,
% 217.99/140.60 (~v108(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10441, 10575])).
% 217.99/140.60 tff(10577,plain,
% 217.99/140.60 ((~(v108(constB69) <=> (v109(constB69) | v118(constB69)))) | (~(v109(constB69) | v118(constB69)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10439, 10576])).
% 217.99/140.60 tff(10578,plain,
% 217.99/140.60 (~(v109(constB69) | v118(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10577, 5486])).
% 217.99/140.60 tff(10579,plain,
% 217.99/140.60 (~v109(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10437, 10578])).
% 217.99/140.60 tff(10580,plain,
% 217.99/140.60 ((~(v109(constB69) <=> (v110(constB69) | v117(constB69)))) | (~(v110(constB69) | v117(constB69)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10435, 10579])).
% 217.99/140.60 tff(10581,plain,
% 217.99/140.60 (~(v110(constB69) | v117(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10580, 5488])).
% 217.99/140.60 tff(10582,plain,
% 217.99/140.60 (~v110(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10433, 10581])).
% 217.99/140.60 tff(10583,plain,
% 217.99/140.60 (~(v111(constB69) | v116(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10431, 10582, 5490])).
% 217.99/140.60 tff(10584,plain,
% 217.99/140.60 ($false),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10429, 10583, 10569])).
% 217.99/140.60 tff(10585,plain,(v102(constB69) | v84(constB70, 1) | v84(constB70, 2) | v84(constB70, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.60 tff(10586,plain,
% 217.99/140.60 (v84(constB70, 0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10585, 10548, 10401, 10413])).
% 217.99/140.60 tff(10587,plain,
% 217.99/140.60 ((~(v84(constB70, 0) <=> v84(constB69, 0))) | (~v84(constB70, 0)) | v84(constB69, 0)),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10588,plain,
% 217.99/140.60 (~(v84(constB70, 0) <=> v84(constB69, 0))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10587, 10586, 10405])).
% 217.99/140.60 tff(10589,plain,
% 217.99/140.60 ($false),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[5759, 10362, 10588])).
% 217.99/140.60 tff(10590,plain,(v94(constB70) | v84(constB69, 0) | (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)) | v84(constB69, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.60 tff(10591,plain,
% 217.99/140.60 (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10590, 10409, 10405, 10364])).
% 217.99/140.60 tff(10592,plain,
% 217.99/140.60 (v84(constB69, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10561, 10591, 10364, 10405])).
% 217.99/140.60 tff(10593,assumption,(v84(constB69, 2)), introduced(assumption)).
% 217.99/140.60 tff(10594,plain,
% 217.99/140.60 ((v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)) | (~v84(constB69, 2))),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10595,plain,
% 217.99/140.60 (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10594, 10593])).
% 217.99/140.60 tff(10596,assumption,(~(v109(constB69) | v118(constB69))), introduced(assumption)).
% 217.99/140.60 tff(10597,plain,
% 217.99/140.60 ((v109(constB69) | v118(constB69)) | (~v118(constB69))),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10598,plain,
% 217.99/140.60 (~v118(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10597, 10596])).
% 217.99/140.60 tff(10599,plain,
% 217.99/140.60 ((~(v118(constB69) <=> (~(v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2)))))) | v118(constB69) | (v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2)))),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10600,plain,
% 217.99/140.60 (v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10599, 10598, 5611])).
% 217.99/140.60 tff(10601,plain,
% 217.99/140.60 ((~(v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2)))) | v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10602,plain,
% 217.99/140.60 (~v84(constB69, 0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10601, 10600, 10364, 10593])).
% 217.99/140.60 tff(10603,plain,
% 217.99/140.60 (~v109(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10437, 10596])).
% 217.99/140.60 tff(10604,plain,
% 217.99/140.60 (~(v110(constB69) | v117(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10435, 10603, 5488])).
% 217.99/140.60 tff(10605,plain,
% 217.99/140.60 ((v110(constB69) | v117(constB69)) | (~v117(constB69))),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10606,plain,
% 217.99/140.60 (~v117(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10605, 10604])).
% 217.99/140.60 tff(10607,plain,
% 217.99/140.60 ((~(v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))))) | v117(constB69) | (v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10608,plain,
% 217.99/140.60 (v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10607, 10606, 5599])).
% 217.99/140.60 tff(10609,assumption,(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)), introduced(assumption)).
% 217.99/140.60 tff(10610,assumption,(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))), introduced(assumption)).
% 217.99/140.60 tff(10611,plain,
% 217.99/140.60 ((~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))) | v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10612,plain,
% 217.99/140.60 (~v84(constB69, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10611, 10364, 10405, 10610])).
% 217.99/140.60 tff(10613,plain,
% 217.99/140.60 ($false),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10561, 10612, 10364, 10405, 10609])).
% 217.99/140.60 tff(10614,plain,(v84(constB69, 1) | v84(constB69, 0) | (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))) | (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.60 tff(10615,plain,
% 217.99/140.60 ($false),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10614, 10608, 10602, 10364, 10595])).
% 217.99/140.60 tff(10616,plain,((v109(constB69) | v118(constB69)) | v84(constB69, 1) | (~v84(constB69, 2))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.60 tff(10617,plain,
% 217.99/140.60 (v109(constB69) | v118(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10616, 10592, 10364])).
% 217.99/140.60 tff(10618,assumption,(~(v107(constB69) <=> (v108(constB69) | v119(constB69)))), introduced(assumption)).
% 217.99/140.60 tff(10619,plain,
% 217.99/140.60 ($false),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[5228, 187, 10618])).
% 217.99/140.60 tff(10620,plain,(v107(constB69) <=> (v108(constB69) | v119(constB69))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.60 tff(10621,plain,
% 217.99/140.60 (~(v108(constB69) | v119(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10443, 10573, 10620])).
% 217.99/140.60 tff(10622,plain,
% 217.99/140.60 (~v108(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10441, 10621])).
% 217.99/140.60 tff(10623,plain,
% 217.99/140.60 ($false),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10439, 10622, 10617, 10404])).
% 217.99/140.60 tff(10624,plain,(v102(constB69) | v84(constB69, 1) | v84(constB69, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.60 tff(10625,plain,
% 217.99/140.60 (v84(constB69, 0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10624, 10401, 10364])).
% 217.99/140.60 tff(10626,plain,
% 217.99/140.60 ((~(v84(constB70, 0) <=> v84(constB69, 0))) | v84(constB70, 0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[5761, 10625])).
% 217.99/140.60 tff(10627,plain,
% 217.99/140.60 (v84(constB70, 0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10626, 10363])).
% 217.99/140.60 tff(10628,plain,
% 217.99/140.60 ((v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))) | v84(constB69, 1)),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10629,plain,
% 217.99/140.60 (v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10628, 10364])).
% 217.99/140.60 tff(10630,plain,
% 217.99/140.60 (~(v105(constB69) | v106(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10459, 10401])).
% 217.99/140.60 tff(10631,plain,
% 217.99/140.60 (~v106(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10456, 10630])).
% 217.99/140.60 tff(10632,plain,
% 217.99/140.60 ((~v107(constB69)) | (~v120(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10454, 10631])).
% 217.99/140.60 tff(10633,plain,
% 217.99/140.60 (~v107(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10451, 10632])).
% 217.99/140.60 tff(10634,plain,
% 217.99/140.60 (v107(constB69) | (~(v108(constB69) | v119(constB69)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10443, 10620])).
% 217.99/140.60 tff(10635,plain,
% 217.99/140.60 (~(v108(constB69) | v119(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10634, 10633])).
% 217.99/140.60 tff(10636,plain,
% 217.99/140.60 (~v108(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10441, 10635])).
% 217.99/140.60 tff(10637,plain,
% 217.99/140.60 (v108(constB69) | (~(v109(constB69) | v118(constB69)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10439, 10404])).
% 217.99/140.60 tff(10638,plain,
% 217.99/140.60 (~(v109(constB69) | v118(constB69))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10637, 10636])).
% 217.99/140.60 tff(10639,plain,
% 217.99/140.60 (~v84(constB69, 2)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10616, 10638, 10364])).
% 217.99/140.60 tff(10640,assumption,(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))), introduced(assumption)).
% 217.99/140.60 tff(10641,assumption,(v84(constB69, 0)), introduced(assumption)).
% 217.99/140.60 tff(10642,assumption,(~v84(constB69, 2)), introduced(assumption)).
% 217.99/140.60 tff(10643,assumption,(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))), introduced(assumption)).
% 217.99/140.60 tff(10644,plain,
% 217.99/140.60 ((~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))) | v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10645,plain,
% 217.99/140.60 (v84(constB69, 1)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10644, 10642, 10643, 10641])).
% 217.99/140.60 tff(10646,plain,
% 217.99/140.60 ((~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))) | v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10647,plain,
% 217.99/140.60 ($false),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10646, 10645, 10642, 10641, 10640])).
% 217.99/140.60 tff(10648,plain,(v84(constB69, 2) | (~v84(constB69, 0)) | (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))) | (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.60 tff(10649,plain,
% 217.99/140.60 (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10648, 10639, 10629, 10625])).
% 217.99/140.60 tff(10650,plain,
% 217.99/140.60 ((~(v114(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))))) | v114(constB69) | (v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10651,plain,
% 217.99/140.60 ((~(v114(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))))) | v114(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10650, 10649])).
% 217.99/140.60 tff(10652,plain,
% 217.99/140.60 (v114(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10651, 5563])).
% 217.99/140.60 tff(10653,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 0) <=> v121(constB69, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 0) <=> v121(constB69, 0)))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10654,plain,
% 217.99/140.60 (($false | $false | (v123(constB70, 0) <=> v121(constB69, 0))) <=> (v123(constB70, 0) <=> v121(constB69, 0))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10655,plain,
% 217.99/140.60 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB70, 0) <=> v121(constB69, 0))) <=> ($false | $false | (v123(constB70, 0) <=> v121(constB69, 0)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.60 tff(10656,plain,
% 217.99/140.60 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB70, 0) <=> v121(constB69, 0))) <=> (v123(constB70, 0) <=> v121(constB69, 0))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10655, 10654])).
% 217.99/140.60 tff(10657,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB70, 0) <=> v121(constB69, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 0) <=> v121(constB69, 0)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[10656])).
% 217.99/140.60 tff(10658,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB70, 0) <=> v121(constB69, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 0) <=> v121(constB69, 0)))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10657, 10653])).
% 217.99/140.60 tff(10659,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB70, 0) <=> v121(constB69, 0)))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10660,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 0) <=> v121(constB69, 0))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10659, 10658])).
% 217.99/140.60 tff(10661,plain,
% 217.99/140.60 (v123(constB70, 0) <=> v121(constB69, 0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10660, 10494])).
% 217.99/140.60 tff(10662,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 0) <=> v124(constB69, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 0) <=> v124(constB69, 0)))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10663,plain,
% 217.99/140.60 (($false | $false | (v121(constB69, 0) <=> v124(constB69, 0))) <=> (v121(constB69, 0) <=> v124(constB69, 0))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10664,plain,
% 217.99/140.60 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB69, 0) <=> v124(constB69, 0))) <=> ($false | $false | (v121(constB69, 0) <=> v124(constB69, 0)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.60 tff(10665,plain,
% 217.99/140.60 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB69, 0) <=> v124(constB69, 0))) <=> (v121(constB69, 0) <=> v124(constB69, 0))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10664, 10663])).
% 217.99/140.60 tff(10666,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB69, 0) <=> v124(constB69, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 0) <=> v124(constB69, 0)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[10665])).
% 217.99/140.60 tff(10667,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB69, 0) <=> v124(constB69, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 0) <=> v124(constB69, 0)))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10666, 10662])).
% 217.99/140.60 tff(10668,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB69, 0) <=> v124(constB69, 0)))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10669,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 0) <=> v124(constB69, 0))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 217.99/140.60 tff(10670,plain,
% 217.99/140.60 (v121(constB69, 0) <=> v124(constB69, 0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10669, 10515])).
% 217.99/140.60 tff(10671,assumption,(v114(constB69)), introduced(assumption)).
% 217.99/140.60 tff(10672,plain,
% 217.99/140.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B))))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10673,plain,
% 217.99/140.60 (((~v114(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B))))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10674,plain,
% 217.99/140.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[10673])).
% 217.99/140.60 tff(10675,plain,
% 217.99/140.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B))))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10674, 10672])).
% 217.99/140.60 tff(10676,plain,
% 217.99/140.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10677,plain,
% 217.99/140.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10676, 10675])).
% 217.99/140.60 tff(10678,plain,
% 217.99/140.60 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10677, 2418, 10671])).
% 217.99/140.60 tff(10679,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | (v124(constB69, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | (v124(constB69, 0) <=> b010(0)))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10680,plain,
% 217.99/140.60 (($false | $false | (v124(constB69, 0) <=> b010(0))) <=> (v124(constB69, 0) <=> b010(0))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10681,plain,
% 217.99/140.60 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b010(0))) <=> ($false | $false | (v124(constB69, 0) <=> b010(0)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.60 tff(10682,plain,
% 217.99/140.60 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b010(0))) <=> (v124(constB69, 0) <=> b010(0))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10681, 10680])).
% 217.99/140.60 tff(10683,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | (v124(constB69, 0) <=> b010(0)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[10682])).
% 217.99/140.60 tff(10684,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | (v124(constB69, 0) <=> b010(0)))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10683, 10679])).
% 217.99/140.60 tff(10685,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b010(0)))),
% 217.99/140.60 inference(quant_inst,[status(thm)],[])).
% 217.99/140.60 tff(10686,plain,
% 217.99/140.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | (v124(constB69, 0) <=> b010(0))),
% 217.99/140.60 inference(modus_ponens,[status(thm)],[10685, 10684])).
% 217.99/140.60 tff(10687,plain,
% 217.99/140.60 (v124(constB69, 0) <=> b010(0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10686, 10678])).
% 217.99/140.60 tff(10688,plain,
% 217.99/140.60 ((~(v124(constB69, 0) <=> b010(0))) | (~v124(constB69, 0)) | b010(0)),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10689,plain,
% 217.99/140.60 ((~(v124(constB69, 0) <=> b010(0))) | (~v124(constB69, 0))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10688, 2437])).
% 217.99/140.60 tff(10690,plain,
% 217.99/140.60 (~v124(constB69, 0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10689, 10687])).
% 217.99/140.60 tff(10691,plain,
% 217.99/140.60 ((~(v121(constB69, 0) <=> v124(constB69, 0))) | (~v121(constB69, 0)) | v124(constB69, 0)),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10692,plain,
% 217.99/140.60 ((~(v121(constB69, 0) <=> v124(constB69, 0))) | (~v121(constB69, 0))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10691, 10690])).
% 217.99/140.60 tff(10693,plain,
% 217.99/140.60 (~v121(constB69, 0)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10692, 10670])).
% 217.99/140.60 tff(10694,plain,
% 217.99/140.60 ((v113(constB69) | v114(constB69)) | (~v114(constB69))),
% 217.99/140.60 inference(tautology,[status(thm)],[])).
% 217.99/140.60 tff(10695,plain,
% 217.99/140.60 (v113(constB69) | v114(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10694, 10671])).
% 217.99/140.60 tff(10696,plain,
% 217.99/140.60 ((~(v112(constB69) <=> (v113(constB69) | v114(constB69)))) | v112(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10422, 10695])).
% 217.99/140.60 tff(10697,plain,
% 217.99/140.60 (v112(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10696, 5529])).
% 217.99/140.60 tff(10698,plain,
% 217.99/140.60 (v112(constB69) | v115(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10425, 10697])).
% 217.99/140.60 tff(10699,plain,
% 217.99/140.60 (v111(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10427, 10698, 5527])).
% 217.99/140.60 tff(10700,plain,
% 217.99/140.60 (v111(constB69) | v116(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10429, 10699])).
% 217.99/140.60 tff(10701,plain,
% 217.99/140.60 (v110(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10431, 10700, 5490])).
% 217.99/140.60 tff(10702,plain,
% 217.99/140.60 (v110(constB69) | v117(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10433, 10701])).
% 217.99/140.60 tff(10703,plain,
% 217.99/140.60 (v109(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10435, 10702, 5488])).
% 217.99/140.60 tff(10704,plain,
% 217.99/140.60 (v109(constB69) | v118(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10437, 10703])).
% 217.99/140.60 tff(10705,plain,
% 217.99/140.60 (v108(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10439, 10704, 5486])).
% 217.99/140.60 tff(10706,plain,
% 217.99/140.60 (v108(constB69) | v119(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10441, 10705])).
% 217.99/140.60 tff(10707,plain,
% 217.99/140.60 (v107(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10443, 10706, 5229])).
% 217.99/140.60 tff(10708,plain,
% 217.99/140.60 (~((~v107(constB69)) | (~v120(constB69)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10451, 10707])).
% 217.99/140.60 tff(10709,plain,
% 217.99/140.60 (v106(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10454, 10708])).
% 217.99/140.60 tff(10710,plain,
% 217.99/140.60 (v105(constB69) | v106(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10456, 10709])).
% 217.99/140.60 tff(10711,plain,
% 217.99/140.60 (v102(constB69)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10459, 10710])).
% 217.99/140.60 tff(10712,plain,
% 217.99/140.60 (v104(constB70)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10400, 10711])).
% 217.99/140.60 tff(10713,plain,
% 217.99/140.60 (~((~v95(constB70)) | (~v104(constB70)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10397, 10712])).
% 217.99/140.60 tff(10714,plain,
% 217.99/140.60 (v94(constB70)),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10366, 10713])).
% 217.99/140.60 tff(10715,plain,
% 217.99/140.60 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 217.99/140.60 inference(unit_resolution,[status(thm)],[10470, 10714])).
% 217.99/140.60 tff(10716,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 0) <=> v123(constB70, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 0) <=> v123(constB70, 0)))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10717,plain,
% 217.99/140.60 (($false | $false | (v84(constB70, 0) <=> v123(constB70, 0))) <=> (v84(constB70, 0) <=> v123(constB70, 0))),
% 217.99/140.60 inference(rewrite,[status(thm)],[])).
% 217.99/140.60 tff(10718,plain,
% 217.99/140.60 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB70, 0) <=> v123(constB70, 0))) <=> ($false | $false | (v84(constB70, 0) <=> v123(constB70, 0)))),
% 217.99/140.60 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.60 tff(10719,plain,
% 217.99/140.60 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB70, 0) <=> v123(constB70, 0))) <=> (v84(constB70, 0) <=> v123(constB70, 0))),
% 217.99/140.60 inference(transitivity,[status(thm)],[10718, 10717])).
% 217.99/140.60 tff(10720,plain,
% 217.99/140.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB70, 0) <=> v123(constB70, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 0) <=> v123(constB70, 0)))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[10719])).
% 217.99/140.61 tff(10721,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB70, 0) <=> v123(constB70, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 0) <=> v123(constB70, 0)))),
% 217.99/140.61 inference(transitivity,[status(thm)],[10720, 10716])).
% 217.99/140.61 tff(10722,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB70, 0) <=> v123(constB70, 0)))),
% 217.99/140.61 inference(quant_inst,[status(thm)],[])).
% 217.99/140.61 tff(10723,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 0) <=> v123(constB70, 0))),
% 217.99/140.61 inference(modus_ponens,[status(thm)],[10722, 10721])).
% 217.99/140.61 tff(10724,plain,
% 217.99/140.61 (v84(constB70, 0) <=> v123(constB70, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10723, 10715])).
% 217.99/140.61 tff(10725,assumption,(v84(constB70, 0)), introduced(assumption)).
% 217.99/140.61 tff(10726,plain,
% 217.99/140.61 ((~(v84(constB70, 0) <=> v123(constB70, 0))) | (~v84(constB70, 0)) | v123(constB70, 0)),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10727,plain,
% 217.99/140.61 ((~(v84(constB70, 0) <=> v123(constB70, 0))) | v123(constB70, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10726, 10725])).
% 217.99/140.61 tff(10728,plain,
% 217.99/140.61 (v123(constB70, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10727, 10724])).
% 217.99/140.61 tff(10729,plain,
% 217.99/140.61 ((~(v123(constB70, 0) <=> v121(constB69, 0))) | (~v123(constB70, 0)) | v121(constB69, 0)),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10730,plain,
% 217.99/140.61 ((~(v123(constB70, 0) <=> v121(constB69, 0))) | v121(constB69, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10729, 10728])).
% 217.99/140.61 tff(10731,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10730, 10693, 10661])).
% 217.99/140.61 tff(10732,plain,((~v114(constB69)) | (~v84(constB70, 0))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10733,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10732, 10652, 10627])).
% 217.99/140.61 tff(10734,plain,(v94(constB70) | v84(constB69, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10735,plain,
% 217.99/140.61 (v84(constB69, 1)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10734, 10360])).
% 217.99/140.61 tff(10736,plain,
% 217.99/140.61 (~v109(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10437, 10638])).
% 217.99/140.61 tff(10737,plain,
% 217.99/140.61 (~(v110(constB69) | v117(constB69))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10435, 10736, 5488])).
% 217.99/140.61 tff(10738,plain,
% 217.99/140.61 (~v110(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10433, 10737])).
% 217.99/140.61 tff(10739,plain,
% 217.99/140.61 (~(v111(constB69) | v116(constB69))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10431, 10738, 5490])).
% 217.99/140.61 tff(10740,plain,
% 217.99/140.61 ((v111(constB69) | v116(constB69)) | (~v116(constB69))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10741,plain,
% 217.99/140.61 (~v116(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10740, 10739])).
% 217.99/140.61 tff(10742,plain,
% 217.99/140.61 ((~(v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))))) | v116(constB69) | (v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10743,plain,
% 217.99/140.61 (v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10742, 10741, 5497])).
% 217.99/140.61 tff(10744,assumption,(v84(constB69, 1)), introduced(assumption)).
% 217.99/140.61 tff(10745,plain,
% 217.99/140.61 ((v108(constB69) | v119(constB69)) | (~v119(constB69))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10746,plain,
% 217.99/140.61 (~v119(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10745, 10635])).
% 217.99/140.61 tff(10747,assumption,(~(v119(constB69) <=> (~(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2)))))), introduced(assumption)).
% 217.99/140.61 tff(10748,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5230, 318, 10747])).
% 217.99/140.61 tff(10749,plain,(v119(constB69) <=> (~(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10750,plain,
% 217.99/140.61 ((~(v119(constB69) <=> (~(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2)))))) | v119(constB69) | (v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2)))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10751,plain,
% 217.99/140.61 (v119(constB69) | (v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10750, 10749])).
% 217.99/140.61 tff(10752,plain,
% 217.99/140.61 (v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10751, 10746])).
% 217.99/140.61 tff(10753,assumption,(v117(constB69)), introduced(assumption)).
% 217.99/140.61 tff(10754,plain,
% 217.99/140.61 (v110(constB69) | v117(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10605, 10753])).
% 217.99/140.61 tff(10755,plain,
% 217.99/140.61 (v109(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10435, 10754, 5488])).
% 217.99/140.61 tff(10756,plain,
% 217.99/140.61 (v109(constB69) | v118(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10437, 10755])).
% 217.99/140.61 tff(10757,plain,
% 217.99/140.61 (v108(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10439, 10756, 5486])).
% 217.99/140.61 tff(10758,plain,
% 217.99/140.61 (v108(constB69) | v119(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10441, 10757])).
% 217.99/140.61 tff(10759,plain,
% 217.99/140.61 (v107(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10443, 10758, 5229])).
% 217.99/140.61 tff(10760,plain,
% 217.99/140.61 (~((~v107(constB69)) | (~v120(constB69)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10451, 10759])).
% 217.99/140.61 tff(10761,plain,
% 217.99/140.61 (v106(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10454, 10760])).
% 217.99/140.61 tff(10762,plain,
% 217.99/140.61 (v105(constB69) | v106(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10456, 10761])).
% 217.99/140.61 tff(10763,plain,
% 217.99/140.61 (v102(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10459, 10762])).
% 217.99/140.61 tff(10764,plain,
% 217.99/140.61 (v104(constB70)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10400, 10763])).
% 217.99/140.61 tff(10765,plain,
% 217.99/140.61 (~((~v95(constB70)) | (~v104(constB70)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10397, 10764])).
% 217.99/140.61 tff(10766,plain,
% 217.99/140.61 (v94(constB70)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10366, 10765])).
% 217.99/140.61 tff(10767,plain,
% 217.99/140.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10470, 10766])).
% 217.99/140.61 tff(10768,plain,
% 217.99/140.61 (v84(constB70, 2) <=> v123(constB70, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10483, 10767])).
% 217.99/140.61 tff(10769,plain,
% 217.99/140.61 ((~(v84(constB70, 2) <=> v123(constB70, 2))) | v84(constB70, 2) | (~v123(constB70, 2))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10770,plain,
% 217.99/140.61 (~v123(constB70, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10769, 10768, 10361])).
% 217.99/140.61 tff(10771,plain,
% 217.99/140.61 ((~(v123(constB70, 2) <=> v121(constB69, 2))) | v123(constB70, 2) | (~v121(constB69, 2))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10772,plain,
% 217.99/140.61 (v123(constB70, 2) | (~v121(constB69, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10771, 10504])).
% 217.99/140.61 tff(10773,plain,
% 217.99/140.61 (~v121(constB69, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10772, 10770])).
% 217.99/140.61 tff(10774,plain,
% 217.99/140.61 ((~(v121(constB69, 2) <=> v124(constB69, 2))) | v121(constB69, 2) | (~v124(constB69, 2))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10775,plain,
% 217.99/140.61 (v121(constB69, 2) | (~v124(constB69, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10774, 10525])).
% 217.99/140.61 tff(10776,plain,
% 217.99/140.61 (~v124(constB69, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10775, 10773])).
% 217.99/140.61 tff(10777,plain,
% 217.99/140.61 ((~(v124(constB69, 2) <=> b101(2))) | v124(constB69, 2) | (~b101(2))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10778,plain,
% 217.99/140.61 (~(v124(constB69, 2) <=> b101(2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10777, 2354, 10776])).
% 217.99/140.61 tff(10779,plain,
% 217.99/140.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B))))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(10780,plain,
% 217.99/140.61 (((~v117(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B))))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(10781,plain,
% 217.99/140.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[10780])).
% 217.99/140.61 tff(10782,plain,
% 217.99/140.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B))))),
% 217.99/140.61 inference(transitivity,[status(thm)],[10781, 10779])).
% 217.99/140.61 tff(10783,plain,
% 217.99/140.61 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.61 inference(quant_inst,[status(thm)],[])).
% 217.99/140.61 tff(10784,plain,
% 217.99/140.61 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))),
% 217.99/140.61 inference(modus_ponens,[status(thm)],[10783, 10782])).
% 217.99/140.61 tff(10785,plain,
% 217.99/140.61 ((~v117(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10784, 2090])).
% 217.99/140.61 tff(10786,plain,
% 217.99/140.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10785, 10753])).
% 217.99/140.61 tff(10787,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | (v124(constB69, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | (v124(constB69, 2) <=> b101(2)))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(10788,plain,
% 217.99/140.61 (($false | $false | (v124(constB69, 2) <=> b101(2))) <=> (v124(constB69, 2) <=> b101(2))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(10789,plain,
% 217.99/140.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b101(2))) <=> ($false | $false | (v124(constB69, 2) <=> b101(2)))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.61 tff(10790,plain,
% 217.99/140.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b101(2))) <=> (v124(constB69, 2) <=> b101(2))),
% 217.99/140.61 inference(transitivity,[status(thm)],[10789, 10788])).
% 217.99/140.61 tff(10791,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | (v124(constB69, 2) <=> b101(2)))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[10790])).
% 217.99/140.61 tff(10792,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | (v124(constB69, 2) <=> b101(2)))),
% 217.99/140.61 inference(transitivity,[status(thm)],[10791, 10787])).
% 217.99/140.61 tff(10793,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b101(2)))),
% 217.99/140.61 inference(quant_inst,[status(thm)],[])).
% 217.99/140.61 tff(10794,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | (v124(constB69, 2) <=> b101(2))),
% 217.99/140.61 inference(modus_ponens,[status(thm)],[10793, 10792])).
% 217.99/140.61 tff(10795,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10794, 10786, 10778])).
% 217.99/140.61 tff(10796,plain,((~v117(constB69)) | v84(constB70, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10797,plain,
% 217.99/140.61 (~v117(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10796, 10361])).
% 217.99/140.61 tff(10798,plain,
% 217.99/140.61 (v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10607, 10797, 5599])).
% 217.99/140.61 tff(10799,plain,
% 217.99/140.61 (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5557, 10744])).
% 217.99/140.61 tff(10800,plain,
% 217.99/140.61 (~v111(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10429, 10739])).
% 217.99/140.61 tff(10801,plain,
% 217.99/140.61 (~(v112(constB69) | v115(constB69))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10427, 10800, 5527])).
% 217.99/140.61 tff(10802,plain,
% 217.99/140.61 ((v112(constB69) | v115(constB69)) | (~v115(constB69))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10803,plain,
% 217.99/140.61 (~v115(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10802, 10801])).
% 217.99/140.61 tff(10804,plain,
% 217.99/140.61 ((~(v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))) | v115(constB69) | (v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10805,plain,
% 217.99/140.61 (v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10804, 10803, 5580])).
% 217.99/140.61 tff(10806,assumption,(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))), introduced(assumption)).
% 217.99/140.61 tff(10807,plain,
% 217.99/140.61 (v84(constB69, 1)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10614, 10405, 10609, 10610])).
% 217.99/140.61 tff(10808,assumption,(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))), introduced(assumption)).
% 217.99/140.61 tff(10809,plain,
% 217.99/140.61 ((~(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2)))) | v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10810,plain,
% 217.99/140.61 (~v84(constB69, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10809, 10807, 10405, 10808])).
% 217.99/140.61 tff(10811,plain,
% 217.99/140.61 ((~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))) | v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10812,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10811, 10810, 10807, 10405, 10806])).
% 217.99/140.61 tff(10813,plain,(v84(constB69, 0) | (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))) | (~(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2)))) | (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))) | (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10814,plain,
% 217.99/140.61 (v84(constB69, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10813, 10805, 10799, 10798, 10752])).
% 217.99/140.61 tff(10815,plain,
% 217.99/140.61 (v84(constB69, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10646, 10814, 10744, 10743])).
% 217.99/140.61 tff(10816,plain,
% 217.99/140.61 (~(v84(constB70, 2) <=> v84(constB69, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5684, 10361, 10815])).
% 217.99/140.61 tff(10817,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5682, 10362, 10816])).
% 217.99/140.61 tff(10818,plain,(v94(constB70) | v84(constB70, 2) | (~v84(constB69, 1))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10819,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10818, 10735, 10360, 10361])).
% 217.99/140.61 tff(10820,plain,(v94(constB70) | v84(constB70, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10821,plain,
% 217.99/140.61 (v84(constB70, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10820, 10360])).
% 217.99/140.61 tff(10822,assumption,(~(v84(constB71, 2) <=> v84(constB70, 2))), introduced(assumption)).
% 217.99/140.61 tff(10823,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5226, 5218, 10822])).
% 217.99/140.61 tff(10824,plain,(v84(constB71, 2) <=> v84(constB70, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10825,plain,
% 217.99/140.61 (v84(constB71, 2) | (~v84(constB70, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5687, 10824])).
% 217.99/140.61 tff(10826,plain,
% 217.99/140.61 (v84(constB71, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10825, 10821])).
% 217.99/140.61 tff(10827,plain,
% 217.99/140.61 ((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5731, 10826])).
% 217.99/140.61 tff(10828,plain,
% 217.99/140.61 ((~(v116(constB71) <=> (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (~v116(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5733, 10827])).
% 217.99/140.61 tff(10829,plain,
% 217.99/140.61 (~v116(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10828, 5730])).
% 217.99/140.61 tff(10830,plain,
% 217.99/140.61 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5697, 10826])).
% 217.99/140.61 tff(10831,plain,
% 217.99/140.61 ((~(v113(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))))) | (~v113(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5699, 10830])).
% 217.99/140.61 tff(10832,plain,
% 217.99/140.61 (~v113(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10831, 5696])).
% 217.99/140.61 tff(10833,plain,
% 217.99/140.61 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5690, 10826])).
% 217.99/140.61 tff(10834,plain,
% 217.99/140.61 ((~(v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (~v114(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5692, 10833])).
% 217.99/140.61 tff(10835,plain,
% 217.99/140.61 (~v114(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10834, 5184])).
% 217.99/140.61 tff(10836,plain,
% 217.99/140.61 (~(v113(constB71) | v114(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5702, 10835, 10832])).
% 217.99/140.61 tff(10837,plain,
% 217.99/140.61 ((~(v112(constB71) <=> (v113(constB71) | v114(constB71)))) | (~v112(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5704, 10836])).
% 217.99/140.61 tff(10838,plain,
% 217.99/140.61 (~v112(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10837, 5182])).
% 217.99/140.61 tff(10839,plain,
% 217.99/140.61 (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5714, 10826])).
% 217.99/140.61 tff(10840,plain,
% 217.99/140.61 ((~(v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))) | (~v115(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5716, 10839])).
% 217.99/140.61 tff(10841,plain,
% 217.99/140.61 (~v115(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10840, 5713])).
% 217.99/140.61 tff(10842,plain,
% 217.99/140.61 ((~(v112(constB71) | v115(constB71))) | v112(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5719, 10841])).
% 217.99/140.61 tff(10843,plain,
% 217.99/140.61 (~(v112(constB71) | v115(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10842, 10838])).
% 217.99/140.61 tff(10844,plain,
% 217.99/140.61 (~v111(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5722, 10843, 5180])).
% 217.99/140.61 tff(10845,plain,
% 217.99/140.61 (~(v111(constB71) | v116(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5736, 10844, 10829])).
% 217.99/140.61 tff(10846,plain,
% 217.99/140.61 (~v110(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5739, 10845, 5178])).
% 217.99/140.61 tff(10847,plain,
% 217.99/140.61 (~v84(constB69, 1)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10552, 10410])).
% 217.99/140.61 tff(10848,plain,
% 217.99/140.61 (v84(constB70, 2) <=> v84(constB69, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5682, 10362])).
% 217.99/140.61 tff(10849,plain,
% 217.99/140.61 ((~(v84(constB70, 2) <=> v84(constB69, 2))) | (~v84(constB70, 2)) | v84(constB69, 2)),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10850,plain,
% 217.99/140.61 ((~(v84(constB70, 2) <=> v84(constB69, 2))) | v84(constB69, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10849, 10418])).
% 217.99/140.61 tff(10851,plain,
% 217.99/140.61 (v84(constB69, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10850, 10848])).
% 217.99/140.61 tff(10852,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10616, 10851, 10847, 10638])).
% 217.99/140.61 tff(10853,plain,(v94(constB70) | (~v84(constB70, 2)) | v84(constB70, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10854,plain,
% 217.99/140.61 (v84(constB70, 1)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10853, 10360, 10821])).
% 217.99/140.61 tff(10855,assumption,(~(v84(constB71, 1) <=> v84(constB70, 1))), introduced(assumption)).
% 217.99/140.61 tff(10856,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5791, 5218, 10855])).
% 217.99/140.61 tff(10857,plain,(v84(constB71, 1) <=> v84(constB70, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10858,plain,
% 217.99/140.61 (v84(constB71, 1) | (~v84(constB70, 1))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5805, 10857])).
% 217.99/140.61 tff(10859,plain,
% 217.99/140.61 (v84(constB71, 1)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10858, 10854])).
% 217.99/140.61 tff(10860,plain,
% 217.99/140.61 (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[9945, 10859])).
% 217.99/140.61 tff(10861,plain,
% 217.99/140.61 (~v117(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[9950, 10860])).
% 217.99/140.61 tff(10862,plain,
% 217.99/140.61 ((~(v110(constB71) | v117(constB71))) | v110(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5772, 10861])).
% 217.99/140.61 tff(10863,plain,
% 217.99/140.61 (~(v110(constB71) | v117(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10862, 10846])).
% 217.99/140.61 tff(10864,plain,
% 217.99/140.61 (~v109(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5775, 10863, 5176])).
% 217.99/140.61 tff(10865,plain,
% 217.99/140.61 (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5808, 10859])).
% 217.99/140.61 tff(10866,plain,
% 217.99/140.61 (~v118(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[9943, 10865])).
% 217.99/140.61 tff(10867,plain,
% 217.99/140.61 ((~(v109(constB71) | v118(constB71))) | v109(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5813, 10866])).
% 217.99/140.61 tff(10868,plain,
% 217.99/140.61 (~(v109(constB71) | v118(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10867, 10864])).
% 217.99/140.61 tff(10869,plain,
% 217.99/140.61 (~v108(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5816, 10868, 5174])).
% 217.99/140.61 tff(10870,plain,
% 217.99/140.61 (v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5600, 10735])).
% 217.99/140.61 tff(10871,plain,
% 217.99/140.61 (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5557, 10735])).
% 217.99/140.61 tff(10872,assumption,(v115(constB69)), introduced(assumption)).
% 217.99/140.61 tff(10873,plain,
% 217.99/140.61 (v112(constB69) | v115(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10802, 10872])).
% 217.99/140.61 tff(10874,plain,
% 217.99/140.61 ((~(v111(constB69) <=> (v112(constB69) | v115(constB69)))) | v111(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10427, 10873])).
% 217.99/140.61 tff(10875,plain,
% 217.99/140.61 (v111(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10874, 5527])).
% 217.99/140.61 tff(10876,plain,
% 217.99/140.61 (v111(constB69) | v116(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10429, 10875])).
% 217.99/140.61 tff(10877,plain,
% 217.99/140.61 (v110(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10431, 10876, 5490])).
% 217.99/140.61 tff(10878,plain,
% 217.99/140.61 (v110(constB69) | v117(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10433, 10877])).
% 217.99/140.61 tff(10879,plain,
% 217.99/140.61 (v109(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10435, 10878, 5488])).
% 217.99/140.61 tff(10880,plain,
% 217.99/140.61 (v109(constB69) | v118(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10437, 10879])).
% 217.99/140.61 tff(10881,plain,
% 217.99/140.61 (v108(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10637, 10880])).
% 217.99/140.61 tff(10882,plain,
% 217.99/140.61 (v108(constB69) | v119(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10441, 10881])).
% 217.99/140.61 tff(10883,plain,
% 217.99/140.61 (v107(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10634, 10882])).
% 217.99/140.61 tff(10884,plain,
% 217.99/140.61 (~((~v107(constB69)) | (~v120(constB69)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10451, 10883])).
% 217.99/140.61 tff(10885,plain,
% 217.99/140.61 (v106(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10454, 10884])).
% 217.99/140.61 tff(10886,plain,
% 217.99/140.61 (v105(constB69) | v106(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10456, 10885])).
% 217.99/140.61 tff(10887,plain,
% 217.99/140.61 (v102(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10459, 10886])).
% 217.99/140.61 tff(10888,plain,
% 217.99/140.61 (v104(constB70)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10400, 10887])).
% 217.99/140.61 tff(10889,plain,
% 217.99/140.61 (~((~v95(constB70)) | (~v104(constB70)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10397, 10888])).
% 217.99/140.61 tff(10890,plain,
% 217.99/140.61 (v94(constB70)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10366, 10889])).
% 217.99/140.61 tff(10891,plain,
% 217.99/140.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10470, 10890])).
% 217.99/140.61 tff(10892,plain,
% 217.99/140.61 (v84(constB70, 2) <=> v123(constB70, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10483, 10891])).
% 217.99/140.61 tff(10893,plain,
% 217.99/140.61 (v123(constB70, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10485, 10892, 10418])).
% 217.99/140.61 tff(10894,plain,
% 217.99/140.61 (v121(constB69, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10506, 10893])).
% 217.99/140.61 tff(10895,plain,
% 217.99/140.61 (v124(constB69, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10527, 10894])).
% 217.99/140.61 tff(10896,plain,
% 217.99/140.61 ((~(v124(constB69, 2) <=> b011(2))) | (~v124(constB69, 2)) | b011(2)),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(10897,plain,
% 217.99/140.61 (~(v124(constB69, 2) <=> b011(2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10896, 2569, 10895])).
% 217.99/140.61 tff(10898,plain,
% 217.99/140.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B))))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(10899,plain,
% 217.99/140.61 (((~v115(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B))))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(10900,plain,
% 217.99/140.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[10899])).
% 217.99/140.61 tff(10901,plain,
% 217.99/140.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B))))),
% 217.99/140.61 inference(transitivity,[status(thm)],[10900, 10898])).
% 217.99/140.61 tff(10902,plain,
% 217.99/140.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.61 inference(quant_inst,[status(thm)],[])).
% 217.99/140.61 tff(10903,plain,
% 217.99/140.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))),
% 217.99/140.61 inference(modus_ponens,[status(thm)],[10902, 10901])).
% 217.99/140.61 tff(10904,plain,
% 217.99/140.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10903, 2144, 10872])).
% 217.99/140.61 tff(10905,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 2) <=> b011(2)))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(10906,plain,
% 217.99/140.61 (($false | $false | (v124(constB69, 2) <=> b011(2))) <=> (v124(constB69, 2) <=> b011(2))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(10907,plain,
% 217.99/140.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b011(2))) <=> ($false | $false | (v124(constB69, 2) <=> b011(2)))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.61 tff(10908,plain,
% 217.99/140.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b011(2))) <=> (v124(constB69, 2) <=> b011(2))),
% 217.99/140.61 inference(transitivity,[status(thm)],[10907, 10906])).
% 217.99/140.61 tff(10909,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 2) <=> b011(2)))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[10908])).
% 217.99/140.61 tff(10910,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 2) <=> b011(2)))),
% 217.99/140.61 inference(transitivity,[status(thm)],[10909, 10905])).
% 217.99/140.61 tff(10911,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b011(2)))),
% 217.99/140.61 inference(quant_inst,[status(thm)],[])).
% 217.99/140.61 tff(10912,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 2) <=> b011(2))),
% 217.99/140.61 inference(modus_ponens,[status(thm)],[10911, 10910])).
% 217.99/140.61 tff(10913,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10912, 10904, 10897])).
% 217.99/140.61 tff(10914,plain,((~v115(constB69)) | (~v84(constB70, 2))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10915,plain,
% 217.99/140.61 (~v115(constB69)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10914, 10821])).
% 217.99/140.61 tff(10916,plain,
% 217.99/140.61 ((~(v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))) | (v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10804, 10915])).
% 217.99/140.61 tff(10917,plain,
% 217.99/140.61 (v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10916, 5580])).
% 217.99/140.61 tff(10918,plain,
% 217.99/140.61 (v84(constB69, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10813, 10917, 10871, 10870, 10752])).
% 217.99/140.61 tff(10919,plain,
% 217.99/140.61 ((~(v84(constB70, 0) <=> v84(constB69, 0))) | v84(constB70, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5761, 10918])).
% 217.99/140.61 tff(10920,plain,
% 217.99/140.61 (v84(constB70, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10919, 10363])).
% 217.99/140.61 tff(10921,assumption,(~(v84(constB71, 0) <=> v84(constB70, 0))), introduced(assumption)).
% 217.99/140.61 tff(10922,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5750, 5218, 10921])).
% 217.99/140.61 tff(10923,plain,(v84(constB71, 0) <=> v84(constB70, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10924,plain,
% 217.99/140.61 (v84(constB71, 0) | (~v84(constB70, 0))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5764, 10923])).
% 217.99/140.61 tff(10925,plain,
% 217.99/140.61 (v84(constB71, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10924, 10920])).
% 217.99/140.61 tff(10926,plain,
% 217.99/140.61 (v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5820, 10925])).
% 217.99/140.61 tff(10927,plain,
% 217.99/140.61 ((~v119(constB71)) | (~(v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5822, 10002])).
% 217.99/140.61 tff(10928,plain,
% 217.99/140.61 (~v119(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10927, 10926])).
% 217.99/140.61 tff(10929,plain,
% 217.99/140.61 (~(v108(constB71) | v119(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5825, 10928, 10869])).
% 217.99/140.61 tff(10930,plain,
% 217.99/140.61 (~v107(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5828, 10929, 5172])).
% 217.99/140.61 tff(10931,plain,
% 217.99/140.61 ((~v107(constB71)) | (~v120(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5830, 10930])).
% 217.99/140.61 tff(10932,plain,
% 217.99/140.61 (~v106(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5835, 10931])).
% 217.99/140.61 tff(10933,plain,
% 217.99/140.61 (~(v105(constB71) | v106(constB71))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5845, 10932])).
% 217.99/140.61 tff(10934,plain,
% 217.99/140.61 (~v102(constB71)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5850, 10933])).
% 217.99/140.61 tff(10935,plain,
% 217.99/140.61 (v84(constB72, 1)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6017, 10934])).
% 217.99/140.61 tff(10936,plain,
% 217.99/140.61 (v84(constB73, 1)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6031, 10935])).
% 217.99/140.61 tff(10937,plain,
% 217.99/140.61 (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6038, 10936])).
% 217.99/140.61 tff(10938,plain,
% 217.99/140.61 (~v114(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[9775, 10937])).
% 217.99/140.61 tff(10939,plain,
% 217.99/140.61 (v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6043, 10936])).
% 217.99/140.61 tff(10940,plain,
% 217.99/140.61 (~v113(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[9790, 10939])).
% 217.99/140.61 tff(10941,plain,
% 217.99/140.61 (~(v113(constB73) | v114(constB73))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6048, 10940, 10938])).
% 217.99/140.61 tff(10942,plain,
% 217.99/140.61 ((~(v112(constB73) <=> (v113(constB73) | v114(constB73)))) | (~v112(constB73))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6050, 10941])).
% 217.99/140.61 tff(10943,plain,
% 217.99/140.61 (~v112(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10942, 4015])).
% 217.99/140.61 tff(10944,plain,
% 217.99/140.61 (~v104(constB72)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5860, 10934])).
% 217.99/140.61 tff(10945,plain,
% 217.99/140.61 ((~v95(constB72)) | (~v104(constB72))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5862, 10944])).
% 217.99/140.61 tff(10946,plain,
% 217.99/140.61 (~v94(constB72)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5869, 10945])).
% 217.99/140.61 tff(10947,plain,
% 217.99/140.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5877, 10946])).
% 217.99/140.61 tff(10948,plain,
% 217.99/140.61 (v84(constB72, 0) <=> v84(constB71, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5886, 10947])).
% 217.99/140.61 tff(10949,plain,
% 217.99/140.61 ((~(v84(constB72, 0) <=> v84(constB71, 0))) | v84(constB72, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5888, 10925])).
% 217.99/140.61 tff(10950,plain,
% 217.99/140.61 (v84(constB72, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10949, 10948])).
% 217.99/140.61 tff(10951,plain,
% 217.99/140.61 (v84(constB73, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10032, 10950])).
% 217.99/140.61 tff(10952,plain,
% 217.99/140.61 (v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6053, 10951])).
% 217.99/140.61 tff(10953,plain,
% 217.99/140.61 (~v115(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[9782, 10952])).
% 217.99/140.61 tff(10954,plain,
% 217.99/140.61 ((~(v112(constB73) | v115(constB73))) | v112(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6058, 10953])).
% 217.99/140.61 tff(10955,plain,
% 217.99/140.61 (~(v112(constB73) | v115(constB73))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10954, 10943])).
% 217.99/140.61 tff(10956,plain,
% 217.99/140.61 (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6097, 10936])).
% 217.99/140.61 tff(10957,plain,
% 217.99/140.61 (~v117(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10088, 10956])).
% 217.99/140.61 tff(10958,plain,
% 217.99/140.61 (v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6033, 10936])).
% 217.99/140.61 tff(10959,plain,
% 217.99/140.61 (~v118(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10095, 10958])).
% 217.99/140.61 tff(10960,assumption,(v108(constB73) | v119(constB73)), introduced(assumption)).
% 217.99/140.61 tff(10961,plain,
% 217.99/140.61 (v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5894, 10951])).
% 217.99/140.61 tff(10962,plain,
% 217.99/140.61 (~v119(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[9564, 10961])).
% 217.99/140.61 tff(10963,plain,
% 217.99/140.61 (v108(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6112, 10962, 10960])).
% 217.99/140.61 tff(10964,plain,
% 217.99/140.61 (v109(constB73) | v118(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6110, 10963])).
% 217.99/140.61 tff(10965,plain,
% 217.99/140.61 (v109(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6107, 10964, 10959])).
% 217.99/140.61 tff(10966,plain,
% 217.99/140.61 ((~v109(constB73)) | (v110(constB73) | v117(constB73))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6105, 4546])).
% 217.99/140.61 tff(10967,plain,
% 217.99/140.61 (v110(constB73) | v117(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10966, 10965])).
% 217.99/140.61 tff(10968,plain,
% 217.99/140.61 (v110(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6102, 10967, 10957])).
% 217.99/140.61 tff(10969,plain,
% 217.99/140.61 ((~(v110(constB73) <=> (v111(constB73) | v116(constB73)))) | (v111(constB73) | v116(constB73))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6095, 10968])).
% 217.99/140.61 tff(10970,plain,
% 217.99/140.61 (v111(constB73) | v116(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10969, 4019])).
% 217.99/140.61 tff(10971,plain,
% 217.99/140.61 (v84(constB74, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[9616, 10959, 10930])).
% 217.99/140.61 tff(10972,plain,
% 217.99/140.61 (v123(constB74, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[8267, 10971, 4814])).
% 217.99/140.61 tff(10973,plain,
% 217.99/140.61 (v121(constB73, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[8262, 10972])).
% 217.99/140.61 tff(10974,plain,
% 217.99/140.61 (v124(constB73, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[8257, 10973])).
% 217.99/140.61 tff(10975,plain,
% 217.99/140.61 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5056, 10974])).
% 217.99/140.61 tff(10976,plain,
% 217.99/140.61 (~v116(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10148, 10975])).
% 217.99/140.61 tff(10977,plain,
% 217.99/140.61 ((~(v111(constB73) | v116(constB73))) | v111(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6092, 10976])).
% 217.99/140.61 tff(10978,plain,
% 217.99/140.61 (v111(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10977, 10970])).
% 217.99/140.61 tff(10979,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[6061, 10978, 10955, 4017])).
% 217.99/140.61 tff(10980,plain,(v94(constB70) | (~(v108(constB73) | v119(constB73))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10981,plain,
% 217.99/140.61 (v94(constB70)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10980, 4614, 10359])).
% 217.99/140.61 tff(10982,plain,
% 217.99/140.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10470, 10981])).
% 217.99/140.61 tff(10983,assumption,(~(v84(constB70, 0) <=> v123(constB70, 0))), introduced(assumption)).
% 217.99/140.61 tff(10984,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10723, 10473, 10983])).
% 217.99/140.61 tff(10985,plain,((v84(constB70, 0) <=> v123(constB70, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10986,plain,
% 217.99/140.61 (v84(constB70, 0) <=> v123(constB70, 0)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10985, 10982])).
% 217.99/140.61 tff(10987,assumption,(~(v84(constB68, 2) <=> v123(constB68, 2))), introduced(assumption)).
% 217.99/140.61 tff(10988,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 2) <=> v123(constB68, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 2) <=> v123(constB68, 2)))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(10989,plain,
% 217.99/140.61 (($false | $false | (v84(constB68, 2) <=> v123(constB68, 2))) <=> (v84(constB68, 2) <=> v123(constB68, 2))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(10990,plain,
% 217.99/140.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB68, 2) <=> v123(constB68, 2))) <=> ($false | $false | (v84(constB68, 2) <=> v123(constB68, 2)))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.61 tff(10991,plain,
% 217.99/140.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB68, 2) <=> v123(constB68, 2))) <=> (v84(constB68, 2) <=> v123(constB68, 2))),
% 217.99/140.61 inference(transitivity,[status(thm)],[10990, 10989])).
% 217.99/140.61 tff(10992,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB68, 2) <=> v123(constB68, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 2) <=> v123(constB68, 2)))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[10991])).
% 217.99/140.61 tff(10993,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB68, 2) <=> v123(constB68, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 2) <=> v123(constB68, 2)))),
% 217.99/140.61 inference(transitivity,[status(thm)],[10992, 10988])).
% 217.99/140.61 tff(10994,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB68, 2) <=> v123(constB68, 2)))),
% 217.99/140.61 inference(quant_inst,[status(thm)],[])).
% 217.99/140.61 tff(10995,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))) | (v84(constB68, 2) <=> v123(constB68, 2))),
% 217.99/140.61 inference(modus_ponens,[status(thm)],[10994, 10993])).
% 217.99/140.61 tff(10996,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10995, 10335, 10987])).
% 217.99/140.61 tff(10997,plain,((v84(constB68, 2) <=> v123(constB68, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(10998,plain,
% 217.99/140.61 (v84(constB68, 2) <=> v123(constB68, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10997, 10333])).
% 217.99/140.61 tff(10999,plain,
% 217.99/140.61 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b101(B)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[10265, 8893, 4614])).
% 217.99/140.61 tff(11000,plain,
% 217.99/140.61 (~v117(constB73)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[5042, 10999])).
% 217.99/140.61 tff(11001,assumption,(v84(constB70, 0) <=> v123(constB70, 0)), introduced(assumption)).
% 217.99/140.61 tff(11002,assumption,(v84(constB68, 1) <=> v123(constB68, 1)), introduced(assumption)).
% 217.99/140.61 tff(11003,assumption,(v84(constB68, 2) <=> v123(constB68, 2)), introduced(assumption)).
% 217.99/140.61 tff(11004,assumption,(v84(constB68, 0) <=> v123(constB68, 0)), introduced(assumption)).
% 217.99/140.61 tff(11005,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))), introduced(assumption)).
% 217.99/140.61 tff(11006,assumption,(v124(constB67, 2)), introduced(assumption)).
% 217.99/140.61 tff(11007,plain,
% 217.99/140.61 ((~(v124(constB67, 2) <=> b010(2))) | (~v124(constB67, 2)) | b010(2)),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(11008,plain,
% 217.99/140.61 (~(v124(constB67, 2) <=> b010(2))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[11007, 2485, 11006])).
% 217.99/140.61 tff(11009,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 2) <=> b010(2)))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(11010,plain,
% 217.99/140.61 (($false | $false | (v124(constB67, 2) <=> b010(2))) <=> (v124(constB67, 2) <=> b010(2))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(11011,plain,
% 217.99/140.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b010(2))) <=> ($false | $false | (v124(constB67, 2) <=> b010(2)))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.61 tff(11012,plain,
% 217.99/140.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b010(2))) <=> (v124(constB67, 2) <=> b010(2))),
% 217.99/140.61 inference(transitivity,[status(thm)],[11011, 11010])).
% 217.99/140.61 tff(11013,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 2) <=> b010(2)))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[11012])).
% 217.99/140.61 tff(11014,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 2) <=> b010(2)))),
% 217.99/140.61 inference(transitivity,[status(thm)],[11013, 11009])).
% 217.99/140.61 tff(11015,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b010(2)))),
% 217.99/140.61 inference(quant_inst,[status(thm)],[])).
% 217.99/140.61 tff(11016,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 2) <=> b010(2))),
% 217.99/140.61 inference(modus_ponens,[status(thm)],[11015, 11014])).
% 217.99/140.61 tff(11017,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[11016, 11005, 11008])).
% 217.99/140.61 tff(11018,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (~v124(constB67, 2))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(11019,plain,
% 217.99/140.61 (~v124(constB67, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[11018, 11005])).
% 217.99/140.61 tff(11020,assumption,(~(v121(constB67, 2) <=> v124(constB67, 2))), introduced(assumption)).
% 217.99/140.61 tff(11021,plain,
% 217.99/140.61 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB67) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB67) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B))))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(11022,plain,
% 217.99/140.61 ((v105(constB67) | ![B: $int] : ((v121(constB67, B) <=> v124(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB67) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B))))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(11023,plain,
% 217.99/140.61 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB67) | ![B: $int] : ((v121(constB67, B) <=> v124(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB67) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[11022])).
% 217.99/140.61 tff(11024,plain,
% 217.99/140.61 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB67) | ![B: $int] : ((v121(constB67, B) <=> v124(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB67) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B))))),
% 217.99/140.61 inference(transitivity,[status(thm)],[11023, 11021])).
% 217.99/140.61 tff(11025,plain,
% 217.99/140.61 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB67) | ![B: $int] : ((v121(constB67, B) <=> v124(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.61 inference(quant_inst,[status(thm)],[])).
% 217.99/140.61 tff(11026,plain,
% 217.99/140.61 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB67) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))),
% 217.99/140.61 inference(modus_ponens,[status(thm)],[11025, 11024])).
% 217.99/140.61 tff(11027,plain,
% 217.99/140.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[11026, 1562, 5336])).
% 217.99/140.61 tff(11028,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 2) <=> v124(constB67, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 2) <=> v124(constB67, 2)))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(11029,plain,
% 217.99/140.61 (($false | $false | (v121(constB67, 2) <=> v124(constB67, 2))) <=> (v121(constB67, 2) <=> v124(constB67, 2))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(11030,plain,
% 217.99/140.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB67, 2) <=> v124(constB67, 2))) <=> ($false | $false | (v121(constB67, 2) <=> v124(constB67, 2)))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.61 tff(11031,plain,
% 217.99/140.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB67, 2) <=> v124(constB67, 2))) <=> (v121(constB67, 2) <=> v124(constB67, 2))),
% 217.99/140.61 inference(transitivity,[status(thm)],[11030, 11029])).
% 217.99/140.61 tff(11032,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB67, 2) <=> v124(constB67, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 2) <=> v124(constB67, 2)))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[11031])).
% 217.99/140.61 tff(11033,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB67, 2) <=> v124(constB67, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 2) <=> v124(constB67, 2)))),
% 217.99/140.61 inference(transitivity,[status(thm)],[11032, 11028])).
% 217.99/140.61 tff(11034,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB67, 2) <=> v124(constB67, 2)))),
% 217.99/140.61 inference(quant_inst,[status(thm)],[])).
% 217.99/140.61 tff(11035,plain,
% 217.99/140.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 2) <=> v124(constB67, 2))),
% 217.99/140.61 inference(modus_ponens,[status(thm)],[11034, 11033])).
% 217.99/140.61 tff(11036,plain,
% 217.99/140.61 ($false),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[11035, 11027, 11020])).
% 217.99/140.61 tff(11037,plain,(v121(constB67, 2) <=> v124(constB67, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.61 tff(11038,plain,
% 217.99/140.61 ((~(v121(constB67, 2) <=> v124(constB67, 2))) | (~v121(constB67, 2)) | v124(constB67, 2)),
% 217.99/140.61 inference(tautology,[status(thm)],[])).
% 217.99/140.61 tff(11039,plain,
% 217.99/140.61 ((~v121(constB67, 2)) | v124(constB67, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[11038, 11037])).
% 217.99/140.61 tff(11040,plain,
% 217.99/140.61 (~v121(constB67, 2)),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[11039, 11019])).
% 217.99/140.61 tff(11041,assumption,(~(v123(constB68, 2) <=> v121(constB67, 2))), introduced(assumption)).
% 217.99/140.61 tff(11042,plain,
% 217.99/140.61 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B))))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(11043,plain,
% 217.99/140.61 (((~nextState(constB67, constB68)) | ![B: $int] : ((v123(constB68, B) <=> v121(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B))))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(11044,plain,
% 217.99/140.61 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB67, constB68)) | ![B: $int] : ((v123(constB68, B) <=> v121(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))))),
% 217.99/140.61 inference(monotonicity,[status(thm)],[11043])).
% 217.99/140.61 tff(11045,plain,
% 217.99/140.61 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB67, constB68)) | ![B: $int] : ((v123(constB68, B) <=> v121(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B))))),
% 217.99/140.61 inference(transitivity,[status(thm)],[11044, 11042])).
% 217.99/140.61 tff(11046,plain,
% 217.99/140.61 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB67, constB68)) | ![B: $int] : ((v123(constB68, B) <=> v121(constB67, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 217.99/140.61 inference(quant_inst,[status(thm)],[])).
% 217.99/140.61 tff(11047,plain,
% 217.99/140.61 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB67, constB68)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))),
% 217.99/140.61 inference(modus_ponens,[status(thm)],[11046, 11045])).
% 217.99/140.61 tff(11048,plain,
% 217.99/140.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))),
% 217.99/140.61 inference(unit_resolution,[status(thm)],[11047, 5280, 1527])).
% 217.99/140.61 tff(11049,plain,
% 217.99/140.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 2) <=> v121(constB67, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 2) <=> v121(constB67, 2)))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(11050,plain,
% 217.99/140.61 (($false | $false | (v123(constB68, 2) <=> v121(constB67, 2))) <=> (v123(constB68, 2) <=> v121(constB67, 2))),
% 217.99/140.61 inference(rewrite,[status(thm)],[])).
% 217.99/140.61 tff(11051,plain,
% 217.99/140.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB68, 2) <=> v121(constB67, 2))) <=> ($false | $false | (v123(constB68, 2) <=> v121(constB67, 2)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.62 tff(11052,plain,
% 217.99/140.62 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB68, 2) <=> v121(constB67, 2))) <=> (v123(constB68, 2) <=> v121(constB67, 2))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11051, 11050])).
% 217.99/140.62 tff(11053,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB68, 2) <=> v121(constB67, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 2) <=> v121(constB67, 2)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[11052])).
% 217.99/140.62 tff(11054,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB68, 2) <=> v121(constB67, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 2) <=> v121(constB67, 2)))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11053, 11049])).
% 217.99/140.62 tff(11055,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB68, 2) <=> v121(constB67, 2)))),
% 217.99/140.62 inference(quant_inst,[status(thm)],[])).
% 217.99/140.62 tff(11056,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 2) <=> v121(constB67, 2))),
% 217.99/140.62 inference(modus_ponens,[status(thm)],[11055, 11054])).
% 217.99/140.62 tff(11057,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11056, 11048, 11041])).
% 217.99/140.62 tff(11058,plain,(v123(constB68, 2) <=> v121(constB67, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11059,plain,
% 217.99/140.62 ((~(v123(constB68, 2) <=> v121(constB67, 2))) | (~v123(constB68, 2)) | v121(constB67, 2)),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11060,plain,
% 217.99/140.62 ((~v123(constB68, 2)) | v121(constB67, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11059, 11058])).
% 217.99/140.62 tff(11061,plain,
% 217.99/140.62 (~v123(constB68, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11060, 11040])).
% 217.99/140.62 tff(11062,plain,
% 217.99/140.62 ((~(v84(constB68, 2) <=> v123(constB68, 2))) | (~v84(constB68, 2)) | v123(constB68, 2)),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11063,plain,
% 217.99/140.62 (~v84(constB68, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11062, 11061, 11003])).
% 217.99/140.62 tff(11064,assumption,(~(v84(constB69, 2) <=> v84(constB68, 2))), introduced(assumption)).
% 217.99/140.62 tff(11065,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5505, 5265, 11064])).
% 217.99/140.62 tff(11066,plain,(v84(constB69, 2) <=> v84(constB68, 2)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11067,plain,
% 217.99/140.62 ((~(v84(constB69, 2) <=> v84(constB68, 2))) | (~v84(constB69, 2)) | v84(constB68, 2)),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11068,plain,
% 217.99/140.62 ((~v84(constB69, 2)) | v84(constB68, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11067, 11066])).
% 217.99/140.62 tff(11069,plain,
% 217.99/140.62 (~v84(constB69, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11068, 11063])).
% 217.99/140.62 tff(11070,assumption,(~v124(constB67, 1)), introduced(assumption)).
% 217.99/140.62 tff(11071,plain,
% 217.99/140.62 ((~(v124(constB67, 1) <=> b010(1))) | v124(constB67, 1) | (~b010(1))),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11072,plain,
% 217.99/140.62 (~(v124(constB67, 1) <=> b010(1))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11071, 2513, 11070])).
% 217.99/140.62 tff(11073,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 1) <=> b010(1)))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11074,plain,
% 217.99/140.62 (($false | $false | (v124(constB67, 1) <=> b010(1))) <=> (v124(constB67, 1) <=> b010(1))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11075,plain,
% 217.99/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b010(1))) <=> ($false | $false | (v124(constB67, 1) <=> b010(1)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.62 tff(11076,plain,
% 217.99/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b010(1))) <=> (v124(constB67, 1) <=> b010(1))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11075, 11074])).
% 217.99/140.62 tff(11077,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 1) <=> b010(1)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[11076])).
% 217.99/140.62 tff(11078,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 1) <=> b010(1)))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11077, 11073])).
% 217.99/140.62 tff(11079,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b010(1)))),
% 217.99/140.62 inference(quant_inst,[status(thm)],[])).
% 217.99/140.62 tff(11080,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 1) <=> b010(1))),
% 217.99/140.62 inference(modus_ponens,[status(thm)],[11079, 11078])).
% 217.99/140.62 tff(11081,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11080, 11005, 11072])).
% 217.99/140.62 tff(11082,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | v124(constB67, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11083,plain,
% 217.99/140.62 (v124(constB67, 1)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11082, 11005])).
% 217.99/140.62 tff(11084,assumption,(~(v121(constB67, 1) <=> v124(constB67, 1))), introduced(assumption)).
% 217.99/140.62 tff(11085,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 1) <=> v124(constB67, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 1) <=> v124(constB67, 1)))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11086,plain,
% 217.99/140.62 (($false | $false | (v121(constB67, 1) <=> v124(constB67, 1))) <=> (v121(constB67, 1) <=> v124(constB67, 1))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11087,plain,
% 217.99/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB67, 1) <=> v124(constB67, 1))) <=> ($false | $false | (v121(constB67, 1) <=> v124(constB67, 1)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.62 tff(11088,plain,
% 217.99/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB67, 1) <=> v124(constB67, 1))) <=> (v121(constB67, 1) <=> v124(constB67, 1))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11087, 11086])).
% 217.99/140.62 tff(11089,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB67, 1) <=> v124(constB67, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 1) <=> v124(constB67, 1)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[11088])).
% 217.99/140.62 tff(11090,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB67, 1) <=> v124(constB67, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 1) <=> v124(constB67, 1)))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11089, 11085])).
% 217.99/140.62 tff(11091,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB67, 1) <=> v124(constB67, 1)))),
% 217.99/140.62 inference(quant_inst,[status(thm)],[])).
% 217.99/140.62 tff(11092,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 1) <=> v124(constB67, 1))),
% 217.99/140.62 inference(modus_ponens,[status(thm)],[11091, 11090])).
% 217.99/140.62 tff(11093,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11092, 11027, 11084])).
% 217.99/140.62 tff(11094,plain,(v121(constB67, 1) <=> v124(constB67, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11095,plain,
% 217.99/140.62 ((~(v121(constB67, 1) <=> v124(constB67, 1))) | v121(constB67, 1) | (~v124(constB67, 1))),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11096,plain,
% 217.99/140.62 (v121(constB67, 1) | (~v124(constB67, 1))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11095, 11094])).
% 217.99/140.62 tff(11097,plain,
% 217.99/140.62 (v121(constB67, 1)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11096, 11083])).
% 217.99/140.62 tff(11098,assumption,(~(v123(constB68, 1) <=> v121(constB67, 1))), introduced(assumption)).
% 217.99/140.62 tff(11099,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 1) <=> v121(constB67, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 1) <=> v121(constB67, 1)))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11100,plain,
% 217.99/140.62 (($false | $false | (v123(constB68, 1) <=> v121(constB67, 1))) <=> (v123(constB68, 1) <=> v121(constB67, 1))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11101,plain,
% 217.99/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB68, 1) <=> v121(constB67, 1))) <=> ($false | $false | (v123(constB68, 1) <=> v121(constB67, 1)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[402, 401])).
% 217.99/140.62 tff(11102,plain,
% 217.99/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB68, 1) <=> v121(constB67, 1))) <=> (v123(constB68, 1) <=> v121(constB67, 1))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11101, 11100])).
% 217.99/140.62 tff(11103,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB68, 1) <=> v121(constB67, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 1) <=> v121(constB67, 1)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[11102])).
% 217.99/140.62 tff(11104,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB68, 1) <=> v121(constB67, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 1) <=> v121(constB67, 1)))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11103, 11099])).
% 217.99/140.62 tff(11105,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB68, 1) <=> v121(constB67, 1)))),
% 217.99/140.62 inference(quant_inst,[status(thm)],[])).
% 217.99/140.62 tff(11106,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 1) <=> v121(constB67, 1))),
% 217.99/140.62 inference(modus_ponens,[status(thm)],[11105, 11104])).
% 217.99/140.62 tff(11107,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11106, 11048, 11098])).
% 217.99/140.62 tff(11108,plain,(v123(constB68, 1) <=> v121(constB67, 1)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11109,plain,
% 217.99/140.62 ((~(v123(constB68, 1) <=> v121(constB67, 1))) | v123(constB68, 1) | (~v121(constB67, 1))),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11110,plain,
% 217.99/140.62 (v123(constB68, 1) | (~v121(constB67, 1))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11109, 11108])).
% 217.99/140.62 tff(11111,plain,
% 217.99/140.62 (v123(constB68, 1)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11110, 11097])).
% 217.99/140.62 tff(11112,plain,
% 217.99/140.62 ((~(v84(constB68, 1) <=> v123(constB68, 1))) | v84(constB68, 1) | (~v123(constB68, 1))),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11113,plain,
% 217.99/140.62 (v84(constB68, 1)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11112, 11111, 11002])).
% 217.99/140.62 tff(11114,plain,
% 217.99/140.62 (v84(constB69, 1) | (~v84(constB68, 1))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5555, 5542])).
% 217.99/140.62 tff(11115,plain,
% 217.99/140.62 (v84(constB69, 1)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11114, 11113])).
% 217.99/140.62 tff(11116,assumption,(~v115(constB69)), introduced(assumption)).
% 217.99/140.62 tff(11117,plain,
% 217.99/140.62 ((~(v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))) | (v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10804, 11116])).
% 217.99/140.62 tff(11118,plain,
% 217.99/140.62 (v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11117, 5580])).
% 217.99/140.62 tff(11119,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 0) <=> v121(constB67, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 0) <=> v121(constB67, 0)))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11120,plain,
% 217.99/140.62 (($false | $false | (v123(constB68, 0) <=> v121(constB67, 0))) <=> (v123(constB68, 0) <=> v121(constB67, 0))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11121,plain,
% 217.99/140.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB68, 0) <=> v121(constB67, 0))) <=> ($false | $false | (v123(constB68, 0) <=> v121(constB67, 0)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.62 tff(11122,plain,
% 217.99/140.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB68, 0) <=> v121(constB67, 0))) <=> (v123(constB68, 0) <=> v121(constB67, 0))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11121, 11120])).
% 217.99/140.62 tff(11123,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB68, 0) <=> v121(constB67, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 0) <=> v121(constB67, 0)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[11122])).
% 217.99/140.62 tff(11124,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB68, 0) <=> v121(constB67, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 0) <=> v121(constB67, 0)))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11123, 11119])).
% 217.99/140.62 tff(11125,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB68, 0) <=> v121(constB67, 0)))),
% 217.99/140.62 inference(quant_inst,[status(thm)],[])).
% 217.99/140.62 tff(11126,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB68, B) <=> v121(constB67, B)))) | (v123(constB68, 0) <=> v121(constB67, 0))),
% 217.99/140.62 inference(modus_ponens,[status(thm)],[11125, 11124])).
% 217.99/140.62 tff(11127,plain,
% 217.99/140.62 (v123(constB68, 0) <=> v121(constB67, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11126, 11048])).
% 217.99/140.62 tff(11128,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 0) <=> v124(constB67, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 0) <=> v124(constB67, 0)))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11129,plain,
% 217.99/140.62 (($false | $false | (v121(constB67, 0) <=> v124(constB67, 0))) <=> (v121(constB67, 0) <=> v124(constB67, 0))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11130,plain,
% 217.99/140.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB67, 0) <=> v124(constB67, 0))) <=> ($false | $false | (v121(constB67, 0) <=> v124(constB67, 0)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.62 tff(11131,plain,
% 217.99/140.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB67, 0) <=> v124(constB67, 0))) <=> (v121(constB67, 0) <=> v124(constB67, 0))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11130, 11129])).
% 217.99/140.62 tff(11132,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB67, 0) <=> v124(constB67, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 0) <=> v124(constB67, 0)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[11131])).
% 217.99/140.62 tff(11133,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB67, 0) <=> v124(constB67, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 0) <=> v124(constB67, 0)))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11132, 11128])).
% 217.99/140.62 tff(11134,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB67, 0) <=> v124(constB67, 0)))),
% 217.99/140.62 inference(quant_inst,[status(thm)],[])).
% 217.99/140.62 tff(11135,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB67, B) <=> v124(constB67, B)))) | (v121(constB67, 0) <=> v124(constB67, 0))),
% 217.99/140.62 inference(modus_ponens,[status(thm)],[11134, 11133])).
% 217.99/140.62 tff(11136,plain,
% 217.99/140.62 (v121(constB67, 0) <=> v124(constB67, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11135, 11027])).
% 217.99/140.62 tff(11137,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 0) <=> b010(0)))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11138,plain,
% 217.99/140.62 (($false | $false | (v124(constB67, 0) <=> b010(0))) <=> (v124(constB67, 0) <=> b010(0))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11139,plain,
% 217.99/140.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b010(0))) <=> ($false | $false | (v124(constB67, 0) <=> b010(0)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.62 tff(11140,plain,
% 217.99/140.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b010(0))) <=> (v124(constB67, 0) <=> b010(0))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11139, 11138])).
% 217.99/140.62 tff(11141,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 0) <=> b010(0)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[11140])).
% 217.99/140.62 tff(11142,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 0) <=> b010(0)))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11141, 11137])).
% 217.99/140.62 tff(11143,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b010(0)))),
% 217.99/140.62 inference(quant_inst,[status(thm)],[])).
% 217.99/140.62 tff(11144,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (v124(constB67, 0) <=> b010(0))),
% 217.99/140.62 inference(modus_ponens,[status(thm)],[11143, 11142])).
% 217.99/140.62 tff(11145,plain,
% 217.99/140.62 (v124(constB67, 0) <=> b010(0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11144, 11005])).
% 217.99/140.62 tff(11146,plain,
% 217.99/140.62 ((~(v124(constB67, 0) <=> b010(0))) | (~v124(constB67, 0)) | b010(0)),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11147,plain,
% 217.99/140.62 ((~(v124(constB67, 0) <=> b010(0))) | (~v124(constB67, 0))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11146, 2437])).
% 217.99/140.62 tff(11148,plain,
% 217.99/140.62 (~v124(constB67, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11147, 11145])).
% 217.99/140.62 tff(11149,plain,
% 217.99/140.62 ((~(v121(constB67, 0) <=> v124(constB67, 0))) | (~v121(constB67, 0)) | v124(constB67, 0)),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11150,plain,
% 217.99/140.62 ((~(v121(constB67, 0) <=> v124(constB67, 0))) | (~v121(constB67, 0))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11149, 11148])).
% 217.99/140.62 tff(11151,plain,
% 217.99/140.62 (~v121(constB67, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11150, 11136])).
% 217.99/140.62 tff(11152,plain,
% 217.99/140.62 ((~(v123(constB68, 0) <=> v121(constB67, 0))) | (~v123(constB68, 0)) | v121(constB67, 0)),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11153,plain,
% 217.99/140.62 ((~(v123(constB68, 0) <=> v121(constB67, 0))) | (~v123(constB68, 0))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11152, 11151])).
% 217.99/140.62 tff(11154,plain,
% 217.99/140.62 (~v123(constB68, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11153, 11127])).
% 217.99/140.62 tff(11155,plain,
% 217.99/140.62 ((~(v84(constB68, 0) <=> v123(constB68, 0))) | (~v84(constB68, 0)) | v123(constB68, 0)),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11156,plain,
% 217.99/140.62 (~v84(constB68, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11155, 11154, 11004])).
% 217.99/140.62 tff(11157,plain,
% 217.99/140.62 ((~(v84(constB69, 0) <=> v84(constB68, 0))) | (~v84(constB69, 0)) | v84(constB68, 0)),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11158,plain,
% 217.99/140.62 ((~(v84(constB69, 0) <=> v84(constB68, 0))) | (~v84(constB69, 0))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11157, 11156])).
% 217.99/140.62 tff(11159,plain,
% 217.99/140.62 (~v84(constB69, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11158, 5274])).
% 217.99/140.62 tff(11160,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10811, 11159, 11118, 11115, 11069])).
% 217.99/140.62 tff(11161,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | v115(constB69) | (~(v84(constB68, 0) <=> v123(constB68, 0))) | (~(v84(constB68, 2) <=> v123(constB68, 2))) | (~(v84(constB68, 1) <=> v123(constB68, 1)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11162,plain,
% 217.99/140.62 (v115(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11161, 11005, 11004, 11003, 11002])).
% 217.99/140.62 tff(11163,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))), introduced(assumption)).
% 217.99/140.62 tff(11164,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10903, 2144, 10872, 11163])).
% 217.99/140.62 tff(11165,plain,((~v115(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11166,plain,
% 217.99/140.62 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11165, 11162])).
% 217.99/140.62 tff(11167,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 0) <=> b011(0)))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11168,plain,
% 217.99/140.62 (($false | $false | (v124(constB69, 0) <=> b011(0))) <=> (v124(constB69, 0) <=> b011(0))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11169,plain,
% 217.99/140.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b011(0))) <=> ($false | $false | (v124(constB69, 0) <=> b011(0)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[250, 249])).
% 217.99/140.62 tff(11170,plain,
% 217.99/140.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b011(0))) <=> (v124(constB69, 0) <=> b011(0))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11169, 11168])).
% 217.99/140.62 tff(11171,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 0) <=> b011(0)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[11170])).
% 217.99/140.62 tff(11172,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 0) <=> b011(0)))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11171, 11167])).
% 217.99/140.62 tff(11173,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b011(0)))),
% 217.99/140.62 inference(quant_inst,[status(thm)],[])).
% 217.99/140.62 tff(11174,plain,
% 217.99/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 0) <=> b011(0))),
% 217.99/140.62 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 217.99/140.62 tff(11175,plain,
% 217.99/140.62 (v124(constB69, 0) <=> b011(0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11174, 11166])).
% 217.99/140.62 tff(11176,plain,
% 217.99/140.62 ((~(v124(constB69, 0) <=> b011(0))) | v124(constB69, 0) | (~b011(0))),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11177,plain,
% 217.99/140.62 ((~(v124(constB69, 0) <=> b011(0))) | v124(constB69, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11176, 2025])).
% 217.99/140.62 tff(11178,plain,
% 217.99/140.62 (v124(constB69, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11177, 11175])).
% 217.99/140.62 tff(11179,assumption,(~(v121(constB69, 0) <=> v124(constB69, 0))), introduced(assumption)).
% 217.99/140.62 tff(11180,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10669, 10515, 11179])).
% 217.99/140.62 tff(11181,plain,(v121(constB69, 0) <=> v124(constB69, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11182,plain,
% 217.99/140.62 ((~(v121(constB69, 0) <=> v124(constB69, 0))) | v121(constB69, 0) | (~v124(constB69, 0))),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11183,plain,
% 217.99/140.62 (v121(constB69, 0) | (~v124(constB69, 0))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11182, 11181])).
% 217.99/140.62 tff(11184,plain,
% 217.99/140.62 (v121(constB69, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11183, 11178])).
% 217.99/140.62 tff(11185,assumption,(~(v123(constB70, 0) <=> v121(constB69, 0))), introduced(assumption)).
% 217.99/140.62 tff(11186,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10660, 10494, 11185])).
% 217.99/140.62 tff(11187,plain,(v123(constB70, 0) <=> v121(constB69, 0)), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11188,plain,
% 217.99/140.62 ((~(v123(constB70, 0) <=> v121(constB69, 0))) | v123(constB70, 0) | (~v121(constB69, 0))),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11189,plain,
% 217.99/140.62 (v123(constB70, 0) | (~v121(constB69, 0))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11188, 11187])).
% 217.99/140.62 tff(11190,plain,
% 217.99/140.62 (v123(constB70, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11189, 11184])).
% 217.99/140.62 tff(11191,plain,
% 217.99/140.62 ((~(v84(constB70, 0) <=> v123(constB70, 0))) | v84(constB70, 0) | (~v123(constB70, 0))),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11192,plain,
% 217.99/140.62 (v84(constB70, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11191, 11190, 11001])).
% 217.99/140.62 tff(11193,plain,
% 217.99/140.62 (v84(constB71, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10924, 11192])).
% 217.99/140.62 tff(11194,plain,
% 217.99/140.62 ((v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))) | v84(constB69, 2)),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11195,plain,
% 217.99/140.62 (v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11194, 11069])).
% 217.99/140.62 tff(11196,plain,
% 217.99/140.62 ((~v119(constB69)) | (~(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5483, 10749])).
% 217.99/140.62 tff(11197,plain,
% 217.99/140.62 (~v119(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11196, 11195])).
% 217.99/140.62 tff(11198,plain,
% 217.99/140.62 (~v84(constB70, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10914, 11162])).
% 217.99/140.62 tff(11199,plain,
% 217.99/140.62 ((~(v84(constB71, 2) <=> v84(constB70, 2))) | (~v84(constB71, 2)) | v84(constB70, 2)),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11200,plain,
% 217.99/140.62 ((~v84(constB71, 2)) | v84(constB70, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11199, 10824])).
% 217.99/140.62 tff(11201,plain,
% 217.99/140.62 (~v84(constB71, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11200, 11198])).
% 217.99/140.62 tff(11202,plain,
% 217.99/140.62 (v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[9864, 11201])).
% 217.99/140.62 tff(11203,plain,
% 217.99/140.62 ((v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)) | (~v84(constB71, 0))),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11204,plain,
% 217.99/140.62 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11203, 11193])).
% 217.99/140.62 tff(11205,plain,
% 217.99/140.62 (~v113(constB71)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5699, 11204, 5696])).
% 217.99/140.62 tff(11206,assumption,(~(v112(constB69) <=> (v113(constB69) | v114(constB69)))), introduced(assumption)).
% 217.99/140.62 tff(11207,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5528, 283, 11206])).
% 217.99/140.62 tff(11208,plain,(v112(constB69) <=> (v113(constB69) | v114(constB69))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11209,assumption,(~(v113(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))))), introduced(assumption)).
% 217.99/140.62 tff(11210,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5530, 597, 11209])).
% 217.99/140.62 tff(11211,plain,(v113(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11212,plain,
% 217.99/140.62 (~v113(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5559, 10799, 11211])).
% 217.99/140.62 tff(11213,plain,
% 217.99/140.62 ((~(v113(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))))) | (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5972, 9953])).
% 217.99/140.62 tff(11214,plain,
% 217.99/140.62 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11213, 5696])).
% 217.99/140.62 tff(11215,plain,
% 217.99/140.62 (v84(constB71, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5984, 11214, 5977, 5979])).
% 217.99/140.62 tff(11216,plain,
% 217.99/140.62 ((~(v84(constB71, 0) <=> v84(constB70, 0))) | (~v84(constB71, 0)) | v84(constB70, 0)),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11217,plain,
% 217.99/140.62 ((~v84(constB71, 0)) | v84(constB70, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11216, 10923])).
% 217.99/140.62 tff(11218,plain,
% 217.99/140.62 (v84(constB70, 0)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11217, 11215])).
% 217.99/140.62 tff(11219,plain,
% 217.99/140.62 (~v114(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10732, 11218])).
% 217.99/140.62 tff(11220,plain,
% 217.99/140.62 (~(v113(constB69) | v114(constB69))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5569, 11219, 11212])).
% 217.99/140.62 tff(11221,plain,
% 217.99/140.62 (~v112(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5571, 11220, 11208])).
% 217.99/140.62 tff(11222,assumption,(~(v111(constB69) <=> (v112(constB69) | v115(constB69)))), introduced(assumption)).
% 217.99/140.62 tff(11223,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5526, 274, 11222])).
% 217.99/140.62 tff(11224,plain,(v111(constB69) <=> (v112(constB69) | v115(constB69))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11225,plain,
% 217.99/140.62 (v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5612, 10744])).
% 217.99/140.62 tff(11226,assumption,(~(v118(constB69) <=> (~(v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2)))))), introduced(assumption)).
% 217.99/140.62 tff(11227,plain,
% 217.99/140.62 ($false),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5610, 394, 11226])).
% 217.99/140.62 tff(11228,plain,(v118(constB69) <=> (~(v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))))), inference(lemma,lemma(discharge,[]))).
% 217.99/140.62 tff(11229,plain,
% 217.99/140.62 ((~v118(constB69)) | (~(v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5614, 11228])).
% 217.99/140.62 tff(11230,plain,
% 217.99/140.62 (~v118(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11229, 11225])).
% 217.99/140.62 tff(11231,assumption,(~v119(constB69)), introduced(assumption)).
% 217.99/140.62 tff(11232,plain,
% 217.99/140.62 (v94(constB70)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10818, 10361, 10744])).
% 217.99/140.62 tff(11233,plain,
% 217.99/140.62 (~((~v95(constB70)) | (~v104(constB70)))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5665, 11232])).
% 217.99/140.62 tff(11234,plain,
% 217.99/140.62 (v104(constB70)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5658, 11233])).
% 217.99/140.62 tff(11235,plain,
% 217.99/140.62 (v102(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5656, 11234])).
% 217.99/140.62 tff(11236,plain,
% 217.99/140.62 (v105(constB69) | v106(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5646, 11235])).
% 217.99/140.62 tff(11237,plain,
% 217.99/140.62 (v106(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5641, 11236])).
% 217.99/140.62 tff(11238,plain,
% 217.99/140.62 (~((~v107(constB69)) | (~v120(constB69)))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5631, 11237])).
% 217.99/140.62 tff(11239,plain,
% 217.99/140.62 (v107(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5626, 11238])).
% 217.99/140.62 tff(11240,plain,
% 217.99/140.62 ((~v107(constB69)) | (v108(constB69) | v119(constB69))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5624, 10620])).
% 217.99/140.62 tff(11241,plain,
% 217.99/140.62 (v108(constB69) | v119(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11240, 11239])).
% 217.99/140.62 tff(11242,plain,
% 217.99/140.62 (v108(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5622, 11241, 11231])).
% 217.99/140.62 tff(11243,plain,
% 217.99/140.62 ((~v108(constB69)) | (v109(constB69) | v118(constB69))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5620, 10404])).
% 217.99/140.62 tff(11244,plain,
% 217.99/140.62 (v109(constB69) | v118(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11243, 11242])).
% 217.99/140.62 tff(11245,plain,
% 217.99/140.62 (v109(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5617, 11244, 11230])).
% 217.99/140.62 tff(11246,plain,
% 217.99/140.62 ((~(v109(constB69) <=> (v110(constB69) | v117(constB69)))) | (v110(constB69) | v117(constB69))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5608, 11245])).
% 217.99/140.62 tff(11247,plain,
% 217.99/140.62 (v110(constB69) | v117(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11246, 5488])).
% 217.99/140.62 tff(11248,plain,
% 217.99/140.62 ((~(v110(constB69) | v117(constB69))) | v110(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5605, 10797])).
% 217.99/140.62 tff(11249,plain,
% 217.99/140.62 (v110(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11248, 11247])).
% 217.99/140.62 tff(11250,plain,
% 217.99/140.62 ((~(v110(constB69) <=> (v111(constB69) | v116(constB69)))) | (v111(constB69) | v116(constB69))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[5591, 11249])).
% 217.99/140.62 tff(11251,plain,
% 217.99/140.62 (v111(constB69) | v116(constB69)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11250, 5490])).
% 217.99/140.62 tff(11252,plain,
% 217.99/140.62 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10470, 11232])).
% 217.99/140.62 tff(11253,plain,
% 217.99/140.62 (v84(constB70, 2) <=> v123(constB70, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10483, 11252])).
% 217.99/140.62 tff(11254,plain,
% 217.99/140.62 (~v123(constB70, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10769, 11253, 10361])).
% 217.99/140.62 tff(11255,plain,
% 217.99/140.62 (~v121(constB69, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10772, 11254])).
% 217.99/140.62 tff(11256,plain,
% 217.99/140.62 (~v124(constB69, 2)),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[10775, 11255])).
% 217.99/140.62 tff(11257,assumption,(~v124(constB69, 2)), introduced(assumption)).
% 217.99/140.62 tff(11258,plain,
% 217.99/140.62 ((~(v124(constB69, 2) <=> b100(2))) | v124(constB69, 2) | (~b100(2))),
% 217.99/140.62 inference(tautology,[status(thm)],[])).
% 217.99/140.62 tff(11259,plain,
% 217.99/140.62 (~(v124(constB69, 2) <=> b100(2))),
% 217.99/140.62 inference(unit_resolution,[status(thm)],[11258, 2250, 11257])).
% 217.99/140.62 tff(11260,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))), introduced(assumption)).
% 217.99/140.62 tff(11261,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 2) <=> b100(2)))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11262,plain,
% 217.99/140.62 (($false | $false | (v124(constB69, 2) <=> b100(2))) <=> (v124(constB69, 2) <=> b100(2))),
% 217.99/140.62 inference(rewrite,[status(thm)],[])).
% 217.99/140.62 tff(11263,plain,
% 217.99/140.62 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b100(2))) <=> ($false | $false | (v124(constB69, 2) <=> b100(2)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[534, 533])).
% 217.99/140.62 tff(11264,plain,
% 217.99/140.62 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b100(2))) <=> (v124(constB69, 2) <=> b100(2))),
% 217.99/140.62 inference(transitivity,[status(thm)],[11263, 11262])).
% 217.99/140.62 tff(11265,plain,
% 217.99/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 2) <=> b100(2)))),
% 217.99/140.62 inference(monotonicity,[status(thm)],[11264])).
% 218.08/140.62 tff(11266,plain,
% 218.08/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 2) <=> b100(2)))),
% 218.08/140.62 inference(transitivity,[status(thm)],[11265, 11261])).
% 218.08/140.62 tff(11267,plain,
% 218.08/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b100(2)))),
% 218.08/140.62 inference(quant_inst,[status(thm)],[])).
% 218.08/140.62 tff(11268,plain,
% 218.08/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 2) <=> b100(2))),
% 218.08/140.62 inference(modus_ponens,[status(thm)],[11267, 11266])).
% 218.08/140.62 tff(11269,plain,
% 218.08/140.62 ($false),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[11268, 11260, 11259])).
% 218.08/140.62 tff(11270,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | v124(constB69, 2)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.62 tff(11271,plain,
% 218.08/140.62 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[11270, 11256])).
% 218.08/140.62 tff(11272,assumption,(v116(constB69)), introduced(assumption)).
% 218.08/140.62 tff(11273,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))), introduced(assumption)).
% 218.08/140.62 tff(11274,plain,
% 218.08/140.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B))))),
% 218.08/140.62 inference(rewrite,[status(thm)],[])).
% 218.08/140.62 tff(11275,plain,
% 218.08/140.62 (((~v116(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B))))),
% 218.08/140.62 inference(rewrite,[status(thm)],[])).
% 218.08/140.62 tff(11276,plain,
% 218.08/140.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))))),
% 218.08/140.62 inference(monotonicity,[status(thm)],[11275])).
% 218.08/140.62 tff(11277,plain,
% 218.08/140.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B))))),
% 218.08/140.62 inference(transitivity,[status(thm)],[11276, 11274])).
% 218.08/140.62 tff(11278,plain,
% 218.08/140.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.62 inference(quant_inst,[status(thm)],[])).
% 218.08/140.62 tff(11279,plain,
% 218.08/140.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))),
% 218.08/140.62 inference(modus_ponens,[status(thm)],[11278, 11277])).
% 218.08/140.62 tff(11280,plain,
% 218.08/140.62 ($false),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[11279, 2230, 11273, 11272])).
% 218.08/140.62 tff(11281,plain,((~v116(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.62 tff(11282,plain,
% 218.08/140.62 (~v116(constB69)),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[11281, 11271])).
% 218.08/140.62 tff(11283,plain,
% 218.08/140.62 ((~(v111(constB69) | v116(constB69))) | v111(constB69)),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[5589, 11282])).
% 218.08/140.62 tff(11284,plain,
% 218.08/140.62 (v111(constB69)),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[11283, 11251])).
% 218.08/140.62 tff(11285,plain,
% 218.08/140.62 (v112(constB69) | v115(constB69)),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[5587, 11284, 11224])).
% 218.08/140.62 tff(11286,plain,
% 218.08/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 1) <=> v121(constB69, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 1) <=> v121(constB69, 1)))),
% 218.08/140.62 inference(rewrite,[status(thm)],[])).
% 218.08/140.62 tff(11287,plain,
% 218.08/140.62 (($false | $false | (v123(constB70, 1) <=> v121(constB69, 1))) <=> (v123(constB70, 1) <=> v121(constB69, 1))),
% 218.08/140.62 inference(rewrite,[status(thm)],[])).
% 218.08/140.62 tff(11288,plain,
% 218.08/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB70, 1) <=> v121(constB69, 1))) <=> ($false | $false | (v123(constB70, 1) <=> v121(constB69, 1)))),
% 218.08/140.62 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.62 tff(11289,plain,
% 218.08/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB70, 1) <=> v121(constB69, 1))) <=> (v123(constB70, 1) <=> v121(constB69, 1))),
% 218.08/140.62 inference(transitivity,[status(thm)],[11288, 11287])).
% 218.08/140.62 tff(11290,plain,
% 218.08/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB70, 1) <=> v121(constB69, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 1) <=> v121(constB69, 1)))),
% 218.08/140.62 inference(monotonicity,[status(thm)],[11289])).
% 218.08/140.62 tff(11291,plain,
% 218.08/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB70, 1) <=> v121(constB69, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 1) <=> v121(constB69, 1)))),
% 218.08/140.62 inference(transitivity,[status(thm)],[11290, 11286])).
% 218.08/140.62 tff(11292,plain,
% 218.08/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB70, 1) <=> v121(constB69, 1)))),
% 218.08/140.62 inference(quant_inst,[status(thm)],[])).
% 218.08/140.62 tff(11293,plain,
% 218.08/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB70, B) <=> v121(constB69, B)))) | (v123(constB70, 1) <=> v121(constB69, 1))),
% 218.08/140.62 inference(modus_ponens,[status(thm)],[11292, 11291])).
% 218.08/140.62 tff(11294,plain,
% 218.08/140.62 (v123(constB70, 1) <=> v121(constB69, 1)),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[11293, 10494])).
% 218.08/140.62 tff(11295,plain,
% 218.08/140.62 (~v84(constB70, 1)),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[10858, 5979])).
% 218.08/140.62 tff(11296,assumption,(~(v84(constB70, 1) <=> v123(constB70, 1))), introduced(assumption)).
% 218.08/140.62 tff(11297,plain,
% 218.08/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 1) <=> v123(constB70, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 1) <=> v123(constB70, 1)))),
% 218.08/140.62 inference(rewrite,[status(thm)],[])).
% 218.08/140.62 tff(11298,plain,
% 218.08/140.62 (($false | $false | (v84(constB70, 1) <=> v123(constB70, 1))) <=> (v84(constB70, 1) <=> v123(constB70, 1))),
% 218.08/140.62 inference(rewrite,[status(thm)],[])).
% 218.08/140.62 tff(11299,plain,
% 218.08/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB70, 1) <=> v123(constB70, 1))) <=> ($false | $false | (v84(constB70, 1) <=> v123(constB70, 1)))),
% 218.08/140.62 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.62 tff(11300,plain,
% 218.08/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB70, 1) <=> v123(constB70, 1))) <=> (v84(constB70, 1) <=> v123(constB70, 1))),
% 218.08/140.62 inference(transitivity,[status(thm)],[11299, 11298])).
% 218.08/140.62 tff(11301,plain,
% 218.08/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB70, 1) <=> v123(constB70, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 1) <=> v123(constB70, 1)))),
% 218.08/140.62 inference(monotonicity,[status(thm)],[11300])).
% 218.08/140.62 tff(11302,plain,
% 218.08/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB70, 1) <=> v123(constB70, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 1) <=> v123(constB70, 1)))),
% 218.08/140.62 inference(transitivity,[status(thm)],[11301, 11297])).
% 218.08/140.62 tff(11303,plain,
% 218.08/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB70, 1) <=> v123(constB70, 1)))),
% 218.08/140.62 inference(quant_inst,[status(thm)],[])).
% 218.08/140.62 tff(11304,plain,
% 218.08/140.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))) | (v84(constB70, 1) <=> v123(constB70, 1))),
% 218.08/140.62 inference(modus_ponens,[status(thm)],[11303, 11302])).
% 218.08/140.62 tff(11305,plain,
% 218.08/140.62 ($false),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[11304, 10473, 11296])).
% 218.08/140.62 tff(11306,plain,((v84(constB70, 1) <=> v123(constB70, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B))))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.62 tff(11307,plain,
% 218.08/140.62 (v84(constB70, 1) <=> v123(constB70, 1)),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[11306, 11252])).
% 218.08/140.62 tff(11308,plain,
% 218.08/140.62 ((~(v84(constB70, 1) <=> v123(constB70, 1))) | v84(constB70, 1) | (~v123(constB70, 1))),
% 218.08/140.62 inference(tautology,[status(thm)],[])).
% 218.08/140.62 tff(11309,plain,
% 218.08/140.62 (~v123(constB70, 1)),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[11308, 11307, 11295])).
% 218.08/140.62 tff(11310,plain,
% 218.08/140.62 ((~(v123(constB70, 1) <=> v121(constB69, 1))) | v123(constB70, 1) | (~v121(constB69, 1))),
% 218.08/140.62 inference(tautology,[status(thm)],[])).
% 218.08/140.62 tff(11311,plain,
% 218.08/140.62 ((~(v123(constB70, 1) <=> v121(constB69, 1))) | (~v121(constB69, 1))),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[11310, 11309])).
% 218.08/140.62 tff(11312,plain,
% 218.08/140.62 (~v121(constB69, 1)),
% 218.08/140.62 inference(unit_resolution,[status(thm)],[11311, 11294])).
% 218.08/140.62 tff(11313,assumption,(~(v121(constB69, 1) <=> v124(constB69, 1))), introduced(assumption)).
% 218.08/140.62 tff(11314,plain,
% 218.08/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 1) <=> v124(constB69, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 1) <=> v124(constB69, 1)))),
% 218.08/140.62 inference(rewrite,[status(thm)],[])).
% 218.08/140.62 tff(11315,plain,
% 218.08/140.62 (($false | $false | (v121(constB69, 1) <=> v124(constB69, 1))) <=> (v121(constB69, 1) <=> v124(constB69, 1))),
% 218.08/140.62 inference(rewrite,[status(thm)],[])).
% 218.08/140.62 tff(11316,plain,
% 218.08/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB69, 1) <=> v124(constB69, 1))) <=> ($false | $false | (v121(constB69, 1) <=> v124(constB69, 1)))),
% 218.08/140.62 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.62 tff(11317,plain,
% 218.08/140.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB69, 1) <=> v124(constB69, 1))) <=> (v121(constB69, 1) <=> v124(constB69, 1))),
% 218.08/140.62 inference(transitivity,[status(thm)],[11316, 11315])).
% 218.08/140.62 tff(11318,plain,
% 218.08/140.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB69, 1) <=> v124(constB69, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 1) <=> v124(constB69, 1)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[11317])).
% 218.08/140.63 tff(11319,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB69, 1) <=> v124(constB69, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 1) <=> v124(constB69, 1)))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11318, 11314])).
% 218.08/140.63 tff(11320,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB69, 1) <=> v124(constB69, 1)))),
% 218.08/140.63 inference(quant_inst,[status(thm)],[])).
% 218.08/140.63 tff(11321,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB69, B) <=> v124(constB69, B)))) | (v121(constB69, 1) <=> v124(constB69, 1))),
% 218.08/140.63 inference(modus_ponens,[status(thm)],[11320, 11319])).
% 218.08/140.63 tff(11322,plain,
% 218.08/140.63 ($false),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11321, 10515, 11313])).
% 218.08/140.63 tff(11323,plain,(v121(constB69, 1) <=> v124(constB69, 1)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.63 tff(11324,plain,
% 218.08/140.63 ((~(v121(constB69, 1) <=> v124(constB69, 1))) | v121(constB69, 1) | (~v124(constB69, 1))),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11325,plain,
% 218.08/140.63 (v121(constB69, 1) | (~v124(constB69, 1))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11324, 11323])).
% 218.08/140.63 tff(11326,plain,
% 218.08/140.63 (~v124(constB69, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11325, 11312])).
% 218.08/140.63 tff(11327,assumption,(~v124(constB69, 1)), introduced(assumption)).
% 218.08/140.63 tff(11328,plain,
% 218.08/140.63 ((~(v124(constB69, 1) <=> b011(1))) | v124(constB69, 1) | (~b011(1))),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11329,plain,
% 218.08/140.63 (~(v124(constB69, 1) <=> b011(1))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11328, 2593, 11327])).
% 218.08/140.63 tff(11330,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))), introduced(assumption)).
% 218.08/140.63 tff(11331,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 1) <=> b011(1)))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11332,plain,
% 218.08/140.63 (($false | $false | (v124(constB69, 1) <=> b011(1))) <=> (v124(constB69, 1) <=> b011(1))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11333,plain,
% 218.08/140.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b011(1))) <=> ($false | $false | (v124(constB69, 1) <=> b011(1)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.63 tff(11334,plain,
% 218.08/140.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b011(1))) <=> (v124(constB69, 1) <=> b011(1))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11333, 11332])).
% 218.08/140.63 tff(11335,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 1) <=> b011(1)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[11334])).
% 218.08/140.63 tff(11336,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 1) <=> b011(1)))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11335, 11331])).
% 218.08/140.63 tff(11337,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b011(1)))),
% 218.08/140.63 inference(quant_inst,[status(thm)],[])).
% 218.08/140.63 tff(11338,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | (v124(constB69, 1) <=> b011(1))),
% 218.08/140.63 inference(modus_ponens,[status(thm)],[11337, 11336])).
% 218.08/140.63 tff(11339,plain,
% 218.08/140.63 ($false),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11338, 11330, 11329])).
% 218.08/140.63 tff(11340,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))) | v124(constB69, 1)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.63 tff(11341,plain,
% 218.08/140.63 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b011(B)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11340, 11326])).
% 218.08/140.63 tff(11342,plain,
% 218.08/140.63 (~v115(constB69)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11165, 11341])).
% 218.08/140.63 tff(11343,plain,
% 218.08/140.63 ($false),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5585, 11342, 11285, 11221])).
% 218.08/140.63 tff(11344,plain,(v84(constB70, 2) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))) | v84(constB71, 1) | v113(constB71) | v119(constB69) | (~v84(constB69, 1))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.63 tff(11345,plain,
% 218.08/140.63 (v84(constB71, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11344, 11205, 11198, 11202, 11197, 11115])).
% 218.08/140.63 tff(11346,plain,
% 218.08/140.63 ((~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))) | (~v84(constB71, 1)) | (~v84(constB71, 0))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9605, 11201])).
% 218.08/140.63 tff(11347,plain,
% 218.08/140.63 (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11346, 11345, 11193])).
% 218.08/140.63 tff(11348,plain,
% 218.08/140.63 (v116(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9595, 11347, 5730])).
% 218.08/140.63 tff(11349,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B))))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11350,plain,
% 218.08/140.63 (((~v116(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B))))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11351,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[11350])).
% 218.08/140.63 tff(11352,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B))))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11351, 11349])).
% 218.08/140.63 tff(11353,plain,
% 218.08/140.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.63 inference(quant_inst,[status(thm)],[])).
% 218.08/140.63 tff(11354,plain,
% 218.08/140.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))),
% 218.08/140.63 inference(modus_ponens,[status(thm)],[11353, 11352])).
% 218.08/140.63 tff(11355,plain,
% 218.08/140.63 ((~v116(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11354, 2230])).
% 218.08/140.63 tff(11356,plain,
% 218.08/140.63 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11355, 11348])).
% 218.08/140.63 tff(11357,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 0) <=> b100(0)))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11358,plain,
% 218.08/140.63 (($false | $false | (v124(constB71, 0) <=> b100(0))) <=> (v124(constB71, 0) <=> b100(0))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11359,plain,
% 218.08/140.63 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b100(0))) <=> ($false | $false | (v124(constB71, 0) <=> b100(0)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.63 tff(11360,plain,
% 218.08/140.63 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b100(0))) <=> (v124(constB71, 0) <=> b100(0))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11359, 11358])).
% 218.08/140.63 tff(11361,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 0) <=> b100(0)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[11360])).
% 218.08/140.63 tff(11362,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 0) <=> b100(0)))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11361, 11357])).
% 218.08/140.63 tff(11363,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b100(0)))),
% 218.08/140.63 inference(quant_inst,[status(thm)],[])).
% 218.08/140.63 tff(11364,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 0) <=> b100(0))),
% 218.08/140.63 inference(modus_ponens,[status(thm)],[11363, 11362])).
% 218.08/140.63 tff(11365,plain,
% 218.08/140.63 (v124(constB71, 0) <=> b100(0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11364, 11356])).
% 218.08/140.63 tff(11366,plain,
% 218.08/140.63 ((~(v124(constB71, 0) <=> b100(0))) | (~v124(constB71, 0)) | b100(0)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11367,plain,
% 218.08/140.63 ((~(v124(constB71, 0) <=> b100(0))) | (~v124(constB71, 0))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11366, 3674])).
% 218.08/140.63 tff(11368,plain,
% 218.08/140.63 (~v124(constB71, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11367, 11365])).
% 218.08/140.63 tff(11369,plain,
% 218.08/140.63 ((~(v121(constB71, 0) <=> v124(constB71, 0))) | (~v121(constB71, 0)) | v124(constB71, 0)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11370,plain,
% 218.08/140.63 ((~v121(constB71, 0)) | v124(constB71, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11369, 9910])).
% 218.08/140.63 tff(11371,plain,
% 218.08/140.63 (~v121(constB71, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11370, 11368])).
% 218.08/140.63 tff(11372,plain,
% 218.08/140.63 ((~(v123(constB72, 0) <=> v121(constB71, 0))) | (~v123(constB72, 0)) | v121(constB71, 0)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11373,plain,
% 218.08/140.63 ((~v123(constB72, 0)) | v121(constB71, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11372, 9896])).
% 218.08/140.63 tff(11374,plain,
% 218.08/140.63 (~v123(constB72, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11373, 11371])).
% 218.08/140.63 tff(11375,plain,
% 218.08/140.63 ((~(v84(constB72, 0) <=> v123(constB72, 0))) | (~v84(constB72, 0)) | v123(constB72, 0)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11376,plain,
% 218.08/140.63 (~v84(constB72, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11375, 11374, 10012])).
% 218.08/140.63 tff(11377,plain,
% 218.08/140.63 ((~(v84(constB73, 0) <=> v84(constB72, 0))) | (~v84(constB73, 0)) | v84(constB72, 0)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11378,plain,
% 218.08/140.63 ((~v84(constB73, 0)) | v84(constB72, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11377, 10031])).
% 218.08/140.63 tff(11379,plain,
% 218.08/140.63 (~v84(constB73, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11378, 11376])).
% 218.08/140.63 tff(11380,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 1) <=> b100(1)))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11381,plain,
% 218.08/140.63 (($false | $false | (v124(constB71, 1) <=> b100(1))) <=> (v124(constB71, 1) <=> b100(1))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11382,plain,
% 218.08/140.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b100(1))) <=> ($false | $false | (v124(constB71, 1) <=> b100(1)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.63 tff(11383,plain,
% 218.08/140.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b100(1))) <=> (v124(constB71, 1) <=> b100(1))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11382, 11381])).
% 218.08/140.63 tff(11384,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 1) <=> b100(1)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[11383])).
% 218.08/140.63 tff(11385,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 1) <=> b100(1)))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11384, 11380])).
% 218.08/140.63 tff(11386,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b100(1)))),
% 218.08/140.63 inference(quant_inst,[status(thm)],[])).
% 218.08/140.63 tff(11387,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 1) <=> b100(1))),
% 218.08/140.63 inference(modus_ponens,[status(thm)],[11386, 11385])).
% 218.08/140.63 tff(11388,plain,
% 218.08/140.63 (v124(constB71, 1) <=> b100(1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11387, 11356])).
% 218.08/140.63 tff(11389,plain,
% 218.08/140.63 ((~(v124(constB71, 1) <=> b100(1))) | (~v124(constB71, 1)) | b100(1)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11390,plain,
% 218.08/140.63 ((~(v124(constB71, 1) <=> b100(1))) | (~v124(constB71, 1))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11389, 2274])).
% 218.08/140.63 tff(11391,plain,
% 218.08/140.63 (~v124(constB71, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11390, 11388])).
% 218.08/140.63 tff(11392,plain,
% 218.08/140.63 (~v121(constB71, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10058, 11391])).
% 218.08/140.63 tff(11393,plain,
% 218.08/140.63 (~v123(constB72, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10072, 11392])).
% 218.08/140.63 tff(11394,plain,
% 218.08/140.63 (~v84(constB72, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10074, 11393, 9693])).
% 218.08/140.63 tff(11395,plain,
% 218.08/140.63 (~v84(constB73, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10077, 11394])).
% 218.08/140.63 tff(11396,plain,
% 218.08/140.63 ((v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))) | v84(constB73, 1)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11397,plain,
% 218.08/140.63 (v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11396, 11395])).
% 218.08/140.63 tff(11398,plain,
% 218.08/140.63 (~v115(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9782, 11397])).
% 218.08/140.63 tff(11399,plain,
% 218.08/140.63 ((v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))) | v84(constB73, 0)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11400,plain,
% 218.08/140.63 (v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11399, 4060])).
% 218.08/140.63 tff(11401,plain,
% 218.08/140.63 (~v118(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10095, 11400])).
% 218.08/140.63 tff(11402,plain,
% 218.08/140.63 ((v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))) | v84(constB73, 0)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11403,plain,
% 218.08/140.63 (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11402, 4060])).
% 218.08/140.63 tff(11404,plain,
% 218.08/140.63 ((~(v114(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))))) | (~v114(constB73))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6040, 11403])).
% 218.08/140.63 tff(11405,plain,
% 218.08/140.63 (~v114(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11404, 4514])).
% 218.08/140.63 tff(11406,plain,
% 218.08/140.63 ((v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))) | v84(constB73, 0)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11407,plain,
% 218.08/140.63 (v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11406, 4060])).
% 218.08/140.63 tff(11408,plain,
% 218.08/140.63 ((~(v116(constB73) <=> (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))))) | (~v116(constB73))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6089, 11407])).
% 218.08/140.63 tff(11409,plain,
% 218.08/140.63 (~v116(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11408, 4084])).
% 218.08/140.63 tff(11410,plain,
% 218.08/140.63 (~v113(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5089, 5081])).
% 218.08/140.63 tff(11411,plain,
% 218.08/140.63 (v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5100, 1807, 5081, 11410])).
% 218.08/140.63 tff(11412,plain,
% 218.08/140.63 ($false),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11411, 11409, 11405, 9784, 10098, 11401])).
% 218.08/140.63 tff(11413,plain,(v84(constB73, 0) | v117(constB73) | v115(constB73) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.63 tff(11414,plain,
% 218.08/140.63 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11413, 11398, 9784, 11379])).
% 218.08/140.63 tff(11415,plain,
% 218.08/140.63 (v124(constB73, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9808, 11414])).
% 218.08/140.63 tff(11416,plain,
% 218.08/140.63 (~v117(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9950, 11202])).
% 218.08/140.63 tff(11417,plain,
% 218.08/140.63 (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11402, 11379])).
% 218.08/140.63 tff(11418,plain,
% 218.08/140.63 (~v114(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9775, 11417])).
% 218.08/140.63 tff(11419,plain,
% 218.08/140.63 (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9873, 11201])).
% 218.08/140.63 tff(11420,plain,
% 218.08/140.63 (~v118(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9943, 11419])).
% 218.08/140.63 tff(11421,plain,
% 218.08/140.63 (v117(constB73) | (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[4009, 10087])).
% 218.08/140.63 tff(11422,plain,
% 218.08/140.63 (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11421, 9784])).
% 218.08/140.63 tff(11423,plain,
% 218.08/140.63 (~v84(constB73, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[4064, 11395, 11422, 11379])).
% 218.08/140.63 tff(11424,plain,
% 218.08/140.63 (~v84(constB72, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9765, 11423])).
% 218.08/140.63 tff(11425,plain,
% 218.08/140.63 (v121(constB71, 2) <=> v124(constB71, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9733, 9725])).
% 218.08/140.63 tff(11426,plain,
% 218.08/140.63 (v123(constB72, 2) <=> v121(constB71, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9754, 9746])).
% 218.08/140.63 tff(11427,assumption,(~v84(constB72, 2)), introduced(assumption)).
% 218.08/140.63 tff(11428,plain,
% 218.08/140.63 ((~(v84(constB73, 2) <=> v84(constB72, 2))) | (~v84(constB73, 2)) | v84(constB72, 2)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11429,plain,
% 218.08/140.63 ((~v84(constB73, 2)) | v84(constB72, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11428, 9764])).
% 218.08/140.63 tff(11430,plain,
% 218.08/140.63 (~v84(constB73, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11429, 11427])).
% 218.08/140.63 tff(11431,plain,
% 218.08/140.63 ((v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))) | v84(constB73, 2)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11432,plain,
% 218.08/140.63 (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11431, 11430])).
% 218.08/140.63 tff(11433,plain,
% 218.08/140.63 (~v117(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10088, 11432])).
% 218.08/140.63 tff(11434,plain,
% 218.08/140.63 (v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10093, 11430])).
% 218.08/140.63 tff(11435,plain,
% 218.08/140.63 (~v118(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10095, 11434])).
% 218.08/140.63 tff(11436,plain,
% 218.08/140.63 ((v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))) | v84(constB73, 2)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11437,plain,
% 218.08/140.63 (v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11436, 11430])).
% 218.08/140.63 tff(11438,plain,
% 218.08/140.63 (~v119(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9564, 11437])).
% 218.08/140.63 tff(11439,plain,
% 218.08/140.63 (v108(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6112, 11438, 10960])).
% 218.08/140.63 tff(11440,plain,
% 218.08/140.63 (v109(constB73) | v118(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6110, 11439])).
% 218.08/140.63 tff(11441,plain,
% 218.08/140.63 (v109(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6107, 11440, 11435])).
% 218.08/140.63 tff(11442,plain,
% 218.08/140.63 (v110(constB73) | v117(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10966, 11441])).
% 218.08/140.63 tff(11443,plain,
% 218.08/140.63 (v110(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6102, 11442, 11433])).
% 218.08/140.63 tff(11444,plain,
% 218.08/140.63 ((~(v110(constB73) <=> (v111(constB73) | v116(constB73)))) | (v111(constB73) | v116(constB73))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6095, 11443])).
% 218.08/140.63 tff(11445,plain,
% 218.08/140.63 (v111(constB73) | v116(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11444, 4019])).
% 218.08/140.63 tff(11446,assumption,(~v116(constB73)), introduced(assumption)).
% 218.08/140.63 tff(11447,plain,
% 218.08/140.63 ((~(v111(constB73) | v116(constB73))) | v111(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6092, 11446])).
% 218.08/140.63 tff(11448,plain,
% 218.08/140.63 (v111(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11447, 11445])).
% 218.08/140.63 tff(11449,plain,
% 218.08/140.63 ((~(v111(constB73) <=> (v112(constB73) | v115(constB73)))) | (v112(constB73) | v115(constB73))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6061, 11448])).
% 218.08/140.63 tff(11450,plain,
% 218.08/140.63 (v112(constB73) | v115(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11449, 4017])).
% 218.08/140.63 tff(11451,plain,
% 218.08/140.63 ((~(v112(constB73) | v115(constB73))) | v112(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6058, 10098])).
% 218.08/140.63 tff(11452,plain,
% 218.08/140.63 (v112(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11451, 11450])).
% 218.08/140.63 tff(11453,plain,
% 218.08/140.63 ((~(v112(constB73) <=> (v113(constB73) | v114(constB73)))) | (v113(constB73) | v114(constB73))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6050, 11452])).
% 218.08/140.63 tff(11454,plain,
% 218.08/140.63 (v113(constB73) | v114(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11453, 4015])).
% 218.08/140.63 tff(11455,assumption,(~v114(constB73)), introduced(assumption)).
% 218.08/140.63 tff(11456,plain,
% 218.08/140.63 ((~(v113(constB73) | v114(constB73))) | v113(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6048, 11455])).
% 218.08/140.63 tff(11457,plain,
% 218.08/140.63 (v113(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11456, 11454])).
% 218.08/140.63 tff(11458,plain,
% 218.08/140.63 (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9790, 11457])).
% 218.08/140.63 tff(11459,plain,
% 218.08/140.63 (~v84(constB73, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6043, 11458])).
% 218.08/140.63 tff(11460,plain,
% 218.08/140.63 (~v84(constB72, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6031, 11459])).
% 218.08/140.63 tff(11461,plain,
% 218.08/140.63 (v102(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6017, 11460])).
% 218.08/140.63 tff(11462,plain,
% 218.08/140.63 (v104(constB72)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9623, 11461])).
% 218.08/140.63 tff(11463,plain,
% 218.08/140.63 (~((~v95(constB72)) | (~v104(constB72)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9654, 11462])).
% 218.08/140.63 tff(11464,plain,
% 218.08/140.63 (v94(constB72)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9657, 11463])).
% 218.08/140.63 tff(11465,plain,
% 218.08/140.63 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9665, 11464])).
% 218.08/140.63 tff(11466,plain,
% 218.08/140.63 (v84(constB72, 2) <=> v123(constB72, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9676, 11465])).
% 218.08/140.63 tff(11467,plain,
% 218.08/140.63 ((~(v84(constB72, 2) <=> v123(constB72, 2))) | (~v123(constB72, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9760, 11427])).
% 218.08/140.63 tff(11468,plain,
% 218.08/140.63 (~v123(constB72, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11467, 11466])).
% 218.08/140.63 tff(11469,plain,
% 218.08/140.63 ((~(v123(constB72, 2) <=> v121(constB71, 2))) | (~v121(constB71, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9757, 11468])).
% 218.08/140.63 tff(11470,plain,
% 218.08/140.63 (~v121(constB71, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11469, 11426])).
% 218.08/140.63 tff(11471,plain,
% 218.08/140.63 ((~(v121(constB71, 2) <=> v124(constB71, 2))) | (~v124(constB71, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9736, 11470])).
% 218.08/140.63 tff(11472,plain,
% 218.08/140.63 (~v124(constB71, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11471, 11425])).
% 218.08/140.63 tff(11473,plain,
% 218.08/140.63 ((~(v124(constB71, 2) <=> b100(2))) | v124(constB71, 2) | (~b100(2))),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11474,plain,
% 218.08/140.63 (~(v124(constB71, 2) <=> b100(2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11473, 2250, 11472])).
% 218.08/140.63 tff(11475,plain,
% 218.08/140.63 (v121(constB71, 0) <=> v124(constB71, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9908, 9725])).
% 218.08/140.63 tff(11476,plain,
% 218.08/140.63 (v84(constB72, 0) <=> v123(constB72, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9830, 11465])).
% 218.08/140.63 tff(11477,plain,
% 218.08/140.63 (~v84(constB73, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10090, 11458])).
% 218.08/140.63 tff(11478,plain,
% 218.08/140.63 ((~(v84(constB73, 0) <=> v84(constB72, 0))) | (~v84(constB72, 0))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5891, 11477])).
% 218.08/140.63 tff(11479,plain,
% 218.08/140.63 (~v84(constB72, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11478, 5170])).
% 218.08/140.63 tff(11480,plain,
% 218.08/140.63 ((~(v84(constB72, 0) <=> v123(constB72, 0))) | (~v123(constB72, 0))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10027, 11479])).
% 218.08/140.63 tff(11481,plain,
% 218.08/140.63 (~v123(constB72, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11480, 11476])).
% 218.08/140.63 tff(11482,plain,
% 218.08/140.63 (~v121(constB71, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9898, 11481])).
% 218.08/140.63 tff(11483,plain,
% 218.08/140.63 ((~(v121(constB71, 0) <=> v124(constB71, 0))) | (~v124(constB71, 0))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9911, 11482])).
% 218.08/140.63 tff(11484,plain,
% 218.08/140.63 (~v124(constB71, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11483, 11475])).
% 218.08/140.63 tff(11485,plain,
% 218.08/140.63 ((~(v124(constB71, 0) <=> b011(0))) | v124(constB71, 0) | (~b011(0))),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11486,plain,
% 218.08/140.63 (~(v124(constB71, 0) <=> b011(0))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11485, 2025, 9969])).
% 218.08/140.63 tff(11487,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))), introduced(assumption)).
% 218.08/140.63 tff(11488,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | (v124(constB71, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | (v124(constB71, 0) <=> b011(0)))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11489,plain,
% 218.08/140.63 (($false | $false | (v124(constB71, 0) <=> b011(0))) <=> (v124(constB71, 0) <=> b011(0))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11490,plain,
% 218.08/140.63 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b011(0))) <=> ($false | $false | (v124(constB71, 0) <=> b011(0)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.63 tff(11491,plain,
% 218.08/140.63 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b011(0))) <=> (v124(constB71, 0) <=> b011(0))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11490, 11489])).
% 218.08/140.63 tff(11492,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | (v124(constB71, 0) <=> b011(0)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[11491])).
% 218.08/140.63 tff(11493,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | (v124(constB71, 0) <=> b011(0)))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11492, 11488])).
% 218.08/140.63 tff(11494,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b011(0)))),
% 218.08/140.63 inference(quant_inst,[status(thm)],[])).
% 218.08/140.63 tff(11495,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | (v124(constB71, 0) <=> b011(0))),
% 218.08/140.63 inference(modus_ponens,[status(thm)],[11494, 11493])).
% 218.08/140.63 tff(11496,plain,
% 218.08/140.63 ($false),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11495, 11487, 11486])).
% 218.08/140.63 tff(11497,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | v124(constB71, 0)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.63 tff(11498,plain,
% 218.08/140.63 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11497, 11484])).
% 218.08/140.63 tff(11499,assumption,(v115(constB71)), introduced(assumption)).
% 218.08/140.63 tff(11500,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))), introduced(assumption)).
% 218.08/140.63 tff(11501,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B))))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11502,plain,
% 218.08/140.63 (((~v115(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B))))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11503,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[11502])).
% 218.08/140.63 tff(11504,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B))))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11503, 11501])).
% 218.08/140.63 tff(11505,plain,
% 218.08/140.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.63 inference(quant_inst,[status(thm)],[])).
% 218.08/140.63 tff(11506,plain,
% 218.08/140.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))),
% 218.08/140.63 inference(modus_ponens,[status(thm)],[11505, 11504])).
% 218.08/140.63 tff(11507,plain,
% 218.08/140.63 ($false),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11506, 2144, 11500, 11499])).
% 218.08/140.63 tff(11508,plain,((~v115(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.63 tff(11509,plain,
% 218.08/140.63 (~v115(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11508, 11498])).
% 218.08/140.63 tff(11510,plain,
% 218.08/140.63 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9982, 11484])).
% 218.08/140.63 tff(11511,assumption,(v113(constB71)), introduced(assumption)).
% 218.08/140.63 tff(11512,plain,
% 218.08/140.63 (v113(constB71) | v114(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5970, 11511])).
% 218.08/140.63 tff(11513,plain,
% 218.08/140.63 (v112(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5942, 11512, 5182])).
% 218.08/140.63 tff(11514,plain,
% 218.08/140.63 (v112(constB71) | v115(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5940, 11513])).
% 218.08/140.63 tff(11515,plain,
% 218.08/140.63 (v111(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5937, 11514, 5180])).
% 218.08/140.63 tff(11516,plain,
% 218.08/140.63 (v111(constB71) | v116(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5935, 11515])).
% 218.08/140.63 tff(11517,plain,
% 218.08/140.63 (v110(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5932, 11516, 5178])).
% 218.08/140.63 tff(11518,plain,
% 218.08/140.63 (v110(constB71) | v117(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5930, 11517])).
% 218.08/140.63 tff(11519,plain,
% 218.08/140.63 (v109(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5927, 11518, 5176])).
% 218.08/140.63 tff(11520,plain,
% 218.08/140.63 (v109(constB71) | v118(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5925, 11519])).
% 218.08/140.63 tff(11521,plain,
% 218.08/140.63 (v108(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5922, 11520, 5174])).
% 218.08/140.63 tff(11522,plain,
% 218.08/140.63 (v108(constB71) | v119(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5920, 11521])).
% 218.08/140.63 tff(11523,plain,
% 218.08/140.63 (v107(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5917, 11522, 5172])).
% 218.08/140.63 tff(11524,plain,
% 218.08/140.63 (~((~v107(constB71)) | (~v120(constB71)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5915, 11523])).
% 218.08/140.63 tff(11525,plain,
% 218.08/140.63 (v106(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5907, 11524])).
% 218.08/140.63 tff(11526,plain,
% 218.08/140.63 (v105(constB71) | v106(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5904, 11525])).
% 218.08/140.63 tff(11527,plain,
% 218.08/140.63 (v102(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5902, 11526])).
% 218.08/140.63 tff(11528,plain,
% 218.08/140.63 (v104(constB72)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9623, 11527])).
% 218.08/140.63 tff(11529,plain,
% 218.08/140.63 (~((~v95(constB72)) | (~v104(constB72)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9654, 11528])).
% 218.08/140.63 tff(11530,plain,
% 218.08/140.63 (v94(constB72)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9657, 11529])).
% 218.08/140.63 tff(11531,plain,
% 218.08/140.63 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9665, 11530])).
% 218.08/140.63 tff(11532,plain,
% 218.08/140.63 (v84(constB72, 0) <=> v123(constB72, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9830, 11531])).
% 218.08/140.63 tff(11533,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11534,plain,
% 218.08/140.63 (((~v113(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11535,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[11534])).
% 218.08/140.63 tff(11536,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11535, 11533])).
% 218.08/140.63 tff(11537,plain,
% 218.08/140.63 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.63 inference(quant_inst,[status(thm)],[])).
% 218.08/140.63 tff(11538,plain,
% 218.08/140.63 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))),
% 218.08/140.63 inference(modus_ponens,[status(thm)],[11537, 11536])).
% 218.08/140.63 tff(11539,plain,
% 218.08/140.63 ($false),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11538, 2117, 9954, 11511])).
% 218.08/140.63 tff(11540,plain,((~v113(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.63 tff(11541,plain,
% 218.08/140.63 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11540, 11511])).
% 218.08/140.63 tff(11542,plain,
% 218.08/140.63 (v124(constB71, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9982, 11541])).
% 218.08/140.63 tff(11543,plain,
% 218.08/140.63 ((~(v121(constB71, 0) <=> v124(constB71, 0))) | v121(constB71, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9911, 11542])).
% 218.08/140.63 tff(11544,plain,
% 218.08/140.63 (v121(constB71, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11543, 11475])).
% 218.08/140.63 tff(11545,plain,
% 218.08/140.63 (v123(constB72, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9898, 11544])).
% 218.08/140.63 tff(11546,plain,
% 218.08/140.63 ((~(v84(constB72, 0) <=> v123(constB72, 0))) | v84(constB72, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10027, 11545])).
% 218.08/140.63 tff(11547,plain,
% 218.08/140.63 (v84(constB72, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11546, 11532])).
% 218.08/140.63 tff(11548,plain,
% 218.08/140.63 ((~(v84(constB73, 0) <=> v84(constB72, 0))) | v84(constB73, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[5891, 11547])).
% 218.08/140.63 tff(11549,plain,
% 218.08/140.63 (v84(constB73, 0)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11548, 5170])).
% 218.08/140.63 tff(11550,plain,
% 218.08/140.63 (v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10090, 11549])).
% 218.08/140.63 tff(11551,plain,
% 218.08/140.63 (v84(constB72, 2) <=> v123(constB72, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9676, 11531])).
% 218.08/140.63 tff(11552,plain,
% 218.08/140.63 ((~(v84(constB72, 2) <=> v123(constB72, 2))) | (~v84(constB72, 2)) | v123(constB72, 2)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11553,plain,
% 218.08/140.63 ((~(v84(constB72, 2) <=> v123(constB72, 2))) | v123(constB72, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11552, 9995])).
% 218.08/140.63 tff(11554,plain,
% 218.08/140.63 (v123(constB72, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11553, 11551])).
% 218.08/140.63 tff(11555,plain,
% 218.08/140.63 ((~(v123(constB72, 2) <=> v121(constB71, 2))) | (~v123(constB72, 2)) | v121(constB71, 2)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11556,plain,
% 218.08/140.63 ((~(v123(constB72, 2) <=> v121(constB71, 2))) | v121(constB71, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11555, 11554])).
% 218.08/140.63 tff(11557,plain,
% 218.08/140.63 (v121(constB71, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11556, 11426])).
% 218.08/140.63 tff(11558,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | (v124(constB71, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | (v124(constB71, 2) <=> b001(2)))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11559,plain,
% 218.08/140.63 (($false | $false | (v124(constB71, 2) <=> b001(2))) <=> (v124(constB71, 2) <=> b001(2))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11560,plain,
% 218.08/140.63 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b001(2))) <=> ($false | $false | (v124(constB71, 2) <=> b001(2)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.63 tff(11561,plain,
% 218.08/140.63 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b001(2))) <=> (v124(constB71, 2) <=> b001(2))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11560, 11559])).
% 218.08/140.63 tff(11562,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | (v124(constB71, 2) <=> b001(2)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[11561])).
% 218.08/140.63 tff(11563,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | (v124(constB71, 2) <=> b001(2)))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11562, 11558])).
% 218.08/140.63 tff(11564,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b001(2)))),
% 218.08/140.63 inference(quant_inst,[status(thm)],[])).
% 218.08/140.63 tff(11565,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))) | (v124(constB71, 2) <=> b001(2))),
% 218.08/140.63 inference(modus_ponens,[status(thm)],[11564, 11563])).
% 218.08/140.63 tff(11566,plain,
% 218.08/140.63 (v124(constB71, 2) <=> b001(2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11565, 11541])).
% 218.08/140.63 tff(11567,plain,
% 218.08/140.63 ((~(v124(constB71, 2) <=> b001(2))) | (~v124(constB71, 2)) | b001(2)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11568,plain,
% 218.08/140.63 ((~(v124(constB71, 2) <=> b001(2))) | (~v124(constB71, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11567, 1831])).
% 218.08/140.63 tff(11569,plain,
% 218.08/140.63 (~v124(constB71, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11568, 11566])).
% 218.08/140.63 tff(11570,plain,
% 218.08/140.63 ((~(v121(constB71, 2) <=> v124(constB71, 2))) | (~v121(constB71, 2)) | v124(constB71, 2)),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11571,plain,
% 218.08/140.63 ((~(v121(constB71, 2) <=> v124(constB71, 2))) | (~v121(constB71, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11570, 11569])).
% 218.08/140.63 tff(11572,plain,
% 218.08/140.63 ($false),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11571, 11557, 11425])).
% 218.08/140.63 tff(11573,plain,((~v113(constB71)) | (~v84(constB72, 2))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.63 tff(11574,plain,
% 218.08/140.63 (~v84(constB72, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11573, 11511])).
% 218.08/140.63 tff(11575,plain,
% 218.08/140.63 (~v84(constB73, 2)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11429, 11574])).
% 218.08/140.63 tff(11576,plain,
% 218.08/140.63 (v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11436, 11575])).
% 218.08/140.63 tff(11577,plain,
% 218.08/140.63 (~v119(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9564, 11576])).
% 218.08/140.63 tff(11578,plain,
% 218.08/140.63 (v108(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6112, 11577, 10960])).
% 218.08/140.63 tff(11579,plain,
% 218.08/140.63 (v109(constB73) | v118(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6110, 11578])).
% 218.08/140.63 tff(11580,plain,
% 218.08/140.63 (v109(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6107, 11579, 9559])).
% 218.08/140.63 tff(11581,plain,
% 218.08/140.63 (v110(constB73) | v117(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10966, 11580])).
% 218.08/140.63 tff(11582,plain,
% 218.08/140.63 (v110(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6102, 11581, 9784])).
% 218.08/140.63 tff(11583,plain,
% 218.08/140.63 ((~(v110(constB73) <=> (v111(constB73) | v116(constB73)))) | (v111(constB73) | v116(constB73))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6095, 11582])).
% 218.08/140.63 tff(11584,plain,
% 218.08/140.63 (v111(constB73) | v116(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11583, 4019])).
% 218.08/140.63 tff(11585,plain,
% 218.08/140.63 (v111(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11447, 11584])).
% 218.08/140.63 tff(11586,plain,
% 218.08/140.63 ((~(v111(constB73) <=> (v112(constB73) | v115(constB73)))) | (v112(constB73) | v115(constB73))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6061, 11585])).
% 218.08/140.63 tff(11587,plain,
% 218.08/140.63 (v112(constB73) | v115(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11586, 4017])).
% 218.08/140.63 tff(11588,plain,
% 218.08/140.63 (v112(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11451, 11587])).
% 218.08/140.63 tff(11589,plain,
% 218.08/140.63 ((~(v112(constB73) <=> (v113(constB73) | v114(constB73)))) | (v113(constB73) | v114(constB73))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[6050, 11588])).
% 218.08/140.63 tff(11590,plain,
% 218.08/140.63 (v113(constB73) | v114(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11589, 4015])).
% 218.08/140.63 tff(11591,plain,
% 218.08/140.63 (v113(constB73)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11456, 11590])).
% 218.08/140.63 tff(11592,plain,
% 218.08/140.63 ($false),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9790, 11591, 11550])).
% 218.08/140.63 tff(11593,plain,((~v113(constB71)) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73) | (~(v108(constB73) | v119(constB73)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.63 tff(11594,plain,
% 218.08/140.63 (~v113(constB71)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11593, 11435, 11455, 11446, 10098, 10960, 11433])).
% 218.08/140.63 tff(11595,plain,
% 218.08/140.63 (v121(constB71, 1) <=> v124(constB71, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10054, 9725])).
% 218.08/140.63 tff(11596,plain,
% 218.08/140.63 (v123(constB72, 1) <=> v121(constB71, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[10068, 9746])).
% 218.08/140.63 tff(11597,plain,
% 218.08/140.63 (v84(constB72, 1) <=> v123(constB72, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[9688, 11465])).
% 218.08/140.63 tff(11598,plain,
% 218.08/140.63 ((~(v84(constB72, 1) <=> v123(constB72, 1))) | v84(constB72, 1) | (~v123(constB72, 1))),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11599,plain,
% 218.08/140.63 ((~(v84(constB72, 1) <=> v123(constB72, 1))) | (~v123(constB72, 1))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11598, 11460])).
% 218.08/140.63 tff(11600,plain,
% 218.08/140.63 (~v123(constB72, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11599, 11597])).
% 218.08/140.63 tff(11601,plain,
% 218.08/140.63 ((~(v123(constB72, 1) <=> v121(constB71, 1))) | v123(constB72, 1) | (~v121(constB71, 1))),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11602,plain,
% 218.08/140.63 ((~(v123(constB72, 1) <=> v121(constB71, 1))) | (~v121(constB71, 1))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11601, 11600])).
% 218.08/140.63 tff(11603,plain,
% 218.08/140.63 (~v121(constB71, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11602, 11596])).
% 218.08/140.63 tff(11604,plain,
% 218.08/140.63 ((~(v121(constB71, 1) <=> v124(constB71, 1))) | v121(constB71, 1) | (~v124(constB71, 1))),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11605,plain,
% 218.08/140.63 ((~(v121(constB71, 1) <=> v124(constB71, 1))) | (~v124(constB71, 1))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11604, 11603])).
% 218.08/140.63 tff(11606,plain,
% 218.08/140.63 (~v124(constB71, 1)),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11605, 11595])).
% 218.08/140.63 tff(11607,plain,
% 218.08/140.63 ((~(v124(constB71, 1) <=> b010(1))) | v124(constB71, 1) | (~b010(1))),
% 218.08/140.63 inference(tautology,[status(thm)],[])).
% 218.08/140.63 tff(11608,plain,
% 218.08/140.63 (~(v124(constB71, 1) <=> b010(1))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11607, 2513, 11606])).
% 218.08/140.63 tff(11609,assumption,(~(v124(constB71, 1) <=> b010(1))), introduced(assumption)).
% 218.08/140.63 tff(11610,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))), introduced(assumption)).
% 218.08/140.63 tff(11611,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 1) <=> b010(1)))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11612,plain,
% 218.08/140.63 (($false | $false | (v124(constB71, 1) <=> b010(1))) <=> (v124(constB71, 1) <=> b010(1))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11613,plain,
% 218.08/140.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b010(1))) <=> ($false | $false | (v124(constB71, 1) <=> b010(1)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.63 tff(11614,plain,
% 218.08/140.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b010(1))) <=> (v124(constB71, 1) <=> b010(1))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11613, 11612])).
% 218.08/140.63 tff(11615,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 1) <=> b010(1)))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[11614])).
% 218.08/140.63 tff(11616,plain,
% 218.08/140.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 1) <=> b010(1)))),
% 218.08/140.63 inference(transitivity,[status(thm)],[11615, 11611])).
% 218.08/140.63 tff(11617,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB71, 1) <=> b010(1)))),
% 218.08/140.63 inference(quant_inst,[status(thm)],[])).
% 218.08/140.63 tff(11618,plain,
% 218.08/140.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 1) <=> b010(1))),
% 218.08/140.63 inference(modus_ponens,[status(thm)],[11617, 11616])).
% 218.08/140.63 tff(11619,plain,
% 218.08/140.63 ($false),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11618, 11610, 11609])).
% 218.08/140.63 tff(11620,plain,((v124(constB71, 1) <=> b010(1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B))))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.63 tff(11621,plain,
% 218.08/140.63 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))),
% 218.08/140.63 inference(unit_resolution,[status(thm)],[11620, 11608])).
% 218.08/140.63 tff(11622,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B))))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11623,plain,
% 218.08/140.63 (((~v114(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B))))),
% 218.08/140.63 inference(rewrite,[status(thm)],[])).
% 218.08/140.63 tff(11624,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))))),
% 218.08/140.63 inference(monotonicity,[status(thm)],[11623])).
% 218.08/140.63 tff(11625,plain,
% 218.08/140.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B))))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11624, 11622])).
% 218.08/140.64 tff(11626,plain,
% 218.08/140.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.64 inference(quant_inst,[status(thm)],[])).
% 218.08/140.64 tff(11627,plain,
% 218.08/140.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))),
% 218.08/140.64 inference(modus_ponens,[status(thm)],[11626, 11625])).
% 218.08/140.64 tff(11628,plain,
% 218.08/140.64 ((~v114(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11627, 2418])).
% 218.08/140.64 tff(11629,plain,
% 218.08/140.64 (~v114(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11628, 11621])).
% 218.08/140.64 tff(11630,assumption,(~v118(constB71)), introduced(assumption)).
% 218.08/140.64 tff(11631,assumption,(~v117(constB71)), introduced(assumption)).
% 218.08/140.64 tff(11632,plain,
% 218.08/140.64 (v116(constB71) | v115(constB71) | v114(constB71) | v113(constB71) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9965, 1807, 11631, 11630])).
% 218.08/140.64 tff(11633,plain,
% 218.08/140.64 (v116(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11632, 11629, 11594, 11510, 11509])).
% 218.08/140.64 tff(11634,plain,
% 218.08/140.64 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11355, 11633])).
% 218.08/140.64 tff(11635,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 2) <=> b100(2)))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11636,plain,
% 218.08/140.64 (($false | $false | (v124(constB71, 2) <=> b100(2))) <=> (v124(constB71, 2) <=> b100(2))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11637,plain,
% 218.08/140.64 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b100(2))) <=> ($false | $false | (v124(constB71, 2) <=> b100(2)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.64 tff(11638,plain,
% 218.08/140.64 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b100(2))) <=> (v124(constB71, 2) <=> b100(2))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11637, 11636])).
% 218.08/140.64 tff(11639,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 2) <=> b100(2)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[11638])).
% 218.08/140.64 tff(11640,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 2) <=> b100(2)))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11639, 11635])).
% 218.08/140.64 tff(11641,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b100(2)))),
% 218.08/140.64 inference(quant_inst,[status(thm)],[])).
% 218.08/140.64 tff(11642,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))) | (v124(constB71, 2) <=> b100(2))),
% 218.08/140.64 inference(modus_ponens,[status(thm)],[11641, 11640])).
% 218.08/140.64 tff(11643,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11642, 11634, 11474])).
% 218.08/140.64 tff(11644,plain,(v84(constB72, 2) | v117(constB71) | v118(constB71) | v114(constB73) | v115(constB73) | v116(constB73) | (~(v108(constB73) | v119(constB73)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11645,plain,
% 218.08/140.64 (v116(constB73)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11644, 11424, 11420, 11418, 11416, 10960, 11398])).
% 218.08/140.64 tff(11646,plain,
% 218.08/140.64 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b100(B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10148, 11645])).
% 218.08/140.64 tff(11647,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5056, 11646, 11415])).
% 218.08/140.64 tff(11648,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (~(v108(constB73) | v119(constB73))) | v117(constB73) | (~(v84(constB72, 0) <=> v123(constB72, 0))) | (~(v84(constB72, 1) <=> v123(constB72, 1))) | (~(v84(constB70, 0) <=> v123(constB70, 0))) | (~(v84(constB68, 2) <=> v123(constB68, 2))) | (~(v84(constB68, 1) <=> v123(constB68, 1))) | (~(v84(constB68, 0) <=> v123(constB68, 0)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11649,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))) | (~(v108(constB73) | v119(constB73))) | v117(constB73) | (~(v84(constB72, 1) <=> v123(constB72, 1))) | (~(v84(constB70, 0) <=> v123(constB70, 0))) | (~(v84(constB68, 2) <=> v123(constB68, 2))) | (~(v84(constB68, 1) <=> v123(constB68, 1))) | (~(v84(constB68, 0) <=> v123(constB68, 0)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11648, 10010])).
% 218.08/140.64 tff(11650,plain,
% 218.08/140.64 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11649, 9691, 11000, 10998, 10986, 10359, 10358, 10346])).
% 218.08/140.64 tff(11651,plain,
% 218.08/140.64 (v84(constB74, 0) <=> v123(constB74, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9702, 4614])).
% 218.08/140.64 tff(11652,plain,
% 218.08/140.64 (~v123(constB74, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9816, 9497, 11651])).
% 218.08/140.64 tff(11653,plain,
% 218.08/140.64 (~v121(constB73, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9814, 11652])).
% 218.08/140.64 tff(11654,plain,
% 218.08/140.64 (~v124(constB73, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9811, 11653])).
% 218.08/140.64 tff(11655,plain,
% 218.08/140.64 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b001(B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9808, 11654])).
% 218.08/140.64 tff(11656,plain,
% 218.08/140.64 ((~(v124(constB73, 0) <=> b011(0))) | v124(constB73, 0) | (~b011(0))),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11657,plain,
% 218.08/140.64 (~(v124(constB73, 0) <=> b011(0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11656, 2025, 9793])).
% 218.08/140.64 tff(11658,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 0) <=> b011(0)))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11659,plain,
% 218.08/140.64 (($false | $false | (v124(constB73, 0) <=> b011(0))) <=> (v124(constB73, 0) <=> b011(0))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11660,plain,
% 218.08/140.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b011(0))) <=> ($false | $false | (v124(constB73, 0) <=> b011(0)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.64 tff(11661,plain,
% 218.08/140.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b011(0))) <=> (v124(constB73, 0) <=> b011(0))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11660, 11659])).
% 218.08/140.64 tff(11662,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 0) <=> b011(0)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[11661])).
% 218.08/140.64 tff(11663,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 0) <=> b011(0)))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11662, 11658])).
% 218.08/140.64 tff(11664,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB73, 0) <=> b011(0)))),
% 218.08/140.64 inference(quant_inst,[status(thm)],[])).
% 218.08/140.64 tff(11665,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 0) <=> b011(0))),
% 218.08/140.64 inference(modus_ponens,[status(thm)],[11664, 11663])).
% 218.08/140.64 tff(11666,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11665, 4958, 11657])).
% 218.08/140.64 tff(11667,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | v124(constB73, 0)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11668,plain,
% 218.08/140.64 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11667, 11654])).
% 218.08/140.64 tff(11669,plain,
% 218.08/140.64 (~v115(constB73)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[4979, 11668])).
% 218.08/140.64 tff(11670,plain,
% 218.08/140.64 (v84(constB73, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11413, 11669, 11000, 11655])).
% 218.08/140.64 tff(11671,plain,
% 218.08/140.64 (v84(constB72, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11378, 11670])).
% 218.08/140.64 tff(11672,assumption,(v118(constB71)), introduced(assumption)).
% 218.08/140.64 tff(11673,plain,
% 218.08/140.64 (v109(constB71) | v118(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5950, 11672])).
% 218.08/140.64 tff(11674,plain,
% 218.08/140.64 ((~(v108(constB71) <=> (v109(constB71) | v118(constB71)))) | v108(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5922, 11673])).
% 218.08/140.64 tff(11675,plain,
% 218.08/140.64 (v108(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11674, 5174])).
% 218.08/140.64 tff(11676,plain,
% 218.08/140.64 (v108(constB71) | v119(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5920, 11675])).
% 218.08/140.64 tff(11677,plain,
% 218.08/140.64 (v107(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5917, 11676, 5172])).
% 218.08/140.64 tff(11678,plain,
% 218.08/140.64 (~((~v107(constB71)) | (~v120(constB71)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5915, 11677])).
% 218.08/140.64 tff(11679,plain,
% 218.08/140.64 (v106(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5907, 11678])).
% 218.08/140.64 tff(11680,plain,
% 218.08/140.64 (v105(constB71) | v106(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5904, 11679])).
% 218.08/140.64 tff(11681,plain,
% 218.08/140.64 (v102(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5902, 11680])).
% 218.08/140.64 tff(11682,plain,
% 218.08/140.64 (v104(constB72)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9623, 11681])).
% 218.08/140.64 tff(11683,plain,
% 218.08/140.64 (~((~v95(constB72)) | (~v104(constB72)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9654, 11682])).
% 218.08/140.64 tff(11684,plain,
% 218.08/140.64 (v94(constB72)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9657, 11683])).
% 218.08/140.64 tff(11685,plain,
% 218.08/140.64 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9665, 11684])).
% 218.08/140.64 tff(11686,plain,
% 218.08/140.64 (v84(constB72, 0) <=> v123(constB72, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9830, 11685])).
% 218.08/140.64 tff(11687,plain,
% 218.08/140.64 ((~(v84(constB72, 0) <=> v123(constB72, 0))) | v123(constB72, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11375, 9883])).
% 218.08/140.64 tff(11688,plain,
% 218.08/140.64 (v123(constB72, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11687, 11686])).
% 218.08/140.64 tff(11689,plain,
% 218.08/140.64 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B))))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11690,plain,
% 218.08/140.64 (((~v118(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B))))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11691,plain,
% 218.08/140.64 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B)))))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[11690])).
% 218.08/140.64 tff(11692,plain,
% 218.08/140.64 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B))))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11691, 11689])).
% 218.08/140.64 tff(11693,plain,
% 218.08/140.64 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB71)) | ![B: $int] : ((v124(constB71, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.64 inference(quant_inst,[status(thm)],[])).
% 218.08/140.64 tff(11694,plain,
% 218.08/140.64 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B)))),
% 218.08/140.64 inference(modus_ponens,[status(thm)],[11693, 11692])).
% 218.08/140.64 tff(11695,plain,
% 218.08/140.64 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11694, 1977, 11672])).
% 218.08/140.64 tff(11696,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B)))) | (v124(constB71, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B)))) | (v124(constB71, 0) <=> b110(0)))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11697,plain,
% 218.08/140.64 (($false | $false | (v124(constB71, 0) <=> b110(0))) <=> (v124(constB71, 0) <=> b110(0))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11698,plain,
% 218.08/140.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b110(0))) <=> ($false | $false | (v124(constB71, 0) <=> b110(0)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.64 tff(11699,plain,
% 218.08/140.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b110(0))) <=> (v124(constB71, 0) <=> b110(0))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11698, 11697])).
% 218.08/140.64 tff(11700,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B)))) | (v124(constB71, 0) <=> b110(0)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[11699])).
% 218.08/140.64 tff(11701,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B)))) | (v124(constB71, 0) <=> b110(0)))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11700, 11696])).
% 218.08/140.64 tff(11702,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b110(0)))),
% 218.08/140.64 inference(quant_inst,[status(thm)],[])).
% 218.08/140.64 tff(11703,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b110(B)))) | (v124(constB71, 0) <=> b110(0))),
% 218.08/140.64 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 218.08/140.64 tff(11704,plain,
% 218.08/140.64 (v124(constB71, 0) <=> b110(0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11703, 11695])).
% 218.08/140.64 tff(11705,plain,
% 218.08/140.64 ((~(v124(constB71, 0) <=> b110(0))) | (~v124(constB71, 0)) | b110(0)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11706,plain,
% 218.08/140.64 ((~(v124(constB71, 0) <=> b110(0))) | (~v124(constB71, 0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11705, 3186])).
% 218.08/140.64 tff(11707,plain,
% 218.08/140.64 (~v124(constB71, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11706, 11704])).
% 218.08/140.64 tff(11708,plain,
% 218.08/140.64 (~v121(constB71, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11369, 11707, 9910])).
% 218.08/140.64 tff(11709,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11373, 11708, 11688])).
% 218.08/140.64 tff(11710,plain,((~v118(constB71)) | (~v84(constB72, 0))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11711,plain,
% 218.08/140.64 (~v118(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11710, 11671])).
% 218.08/140.64 tff(11712,plain,
% 218.08/140.64 (v118(constB71) | (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5952, 9942])).
% 218.08/140.64 tff(11713,plain,
% 218.08/140.64 (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11712, 11711])).
% 218.08/140.64 tff(11714,plain,
% 218.08/140.64 (~((~v95(constB70)) | (~v104(constB70)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5665, 10981])).
% 218.08/140.64 tff(11715,plain,
% 218.08/140.64 (v104(constB70)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5658, 11714])).
% 218.08/140.64 tff(11716,plain,
% 218.08/140.64 (v102(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5656, 11715])).
% 218.08/140.64 tff(11717,plain,
% 218.08/140.64 (v105(constB69) | v106(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5646, 11716])).
% 218.08/140.64 tff(11718,plain,
% 218.08/140.64 (v106(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5641, 11717])).
% 218.08/140.64 tff(11719,plain,
% 218.08/140.64 (~((~v107(constB69)) | (~v120(constB69)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5631, 11718])).
% 218.08/140.64 tff(11720,plain,
% 218.08/140.64 (v107(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5626, 11719])).
% 218.08/140.64 tff(11721,plain,
% 218.08/140.64 (v108(constB69) | v119(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11240, 11720])).
% 218.08/140.64 tff(11722,plain,
% 218.08/140.64 (v84(constB70, 2) <=> v123(constB70, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10483, 10982])).
% 218.08/140.64 tff(11723,plain,
% 218.08/140.64 (v84(constB70, 1) <=> v123(constB70, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11306, 10982])).
% 218.08/140.64 tff(11724,assumption,(v84(constB70, 2) <=> v123(constB70, 2)), introduced(assumption)).
% 218.08/140.64 tff(11725,assumption,(v84(constB70, 1) <=> v123(constB70, 1)), introduced(assumption)).
% 218.08/140.64 tff(11726,plain,
% 218.08/140.64 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11281, 11272])).
% 218.08/140.64 tff(11727,plain,
% 218.08/140.64 (v124(constB69, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11270, 11260])).
% 218.08/140.64 tff(11728,plain,
% 218.08/140.64 (v121(constB69, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10775, 11727])).
% 218.08/140.64 tff(11729,plain,
% 218.08/140.64 (v123(constB70, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10772, 11728])).
% 218.08/140.64 tff(11730,plain,
% 218.08/140.64 (v84(constB70, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10769, 11729, 11724])).
% 218.08/140.64 tff(11731,plain,
% 218.08/140.64 (v84(constB71, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10825, 11730])).
% 218.08/140.64 tff(11732,plain,
% 218.08/140.64 (~v84(constB71, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5998, 9914, 5993, 5979])).
% 218.08/140.64 tff(11733,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5980, 11732, 9914, 5977, 5979])).
% 218.08/140.64 tff(11734,plain,((~v84(constB71, 2)) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))) | v84(constB71, 1) | (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11735,plain,
% 218.08/140.64 (v84(constB71, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11734, 11731, 5993, 5977])).
% 218.08/140.64 tff(11736,plain,
% 218.08/140.64 ((~(v84(constB71, 1) <=> v84(constB70, 1))) | (~v84(constB71, 1)) | v84(constB70, 1)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11737,plain,
% 218.08/140.64 ((~v84(constB71, 1)) | v84(constB70, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11736, 10857])).
% 218.08/140.64 tff(11738,plain,
% 218.08/140.64 (v84(constB70, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11737, 11735])).
% 218.08/140.64 tff(11739,plain,
% 218.08/140.64 ((~(v84(constB70, 1) <=> v123(constB70, 1))) | (~v84(constB70, 1)) | v123(constB70, 1)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11740,plain,
% 218.08/140.64 (v123(constB70, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11739, 11738, 11725])).
% 218.08/140.64 tff(11741,plain,
% 218.08/140.64 ((~(v123(constB70, 1) <=> v121(constB69, 1))) | (~v123(constB70, 1)) | v121(constB69, 1)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11742,plain,
% 218.08/140.64 ((~(v123(constB70, 1) <=> v121(constB69, 1))) | v121(constB69, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11741, 11740])).
% 218.08/140.64 tff(11743,plain,
% 218.08/140.64 (v121(constB69, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11742, 11294])).
% 218.08/140.64 tff(11744,plain,
% 218.08/140.64 ((~(v121(constB69, 1) <=> v124(constB69, 1))) | (~v121(constB69, 1)) | v124(constB69, 1)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11745,plain,
% 218.08/140.64 ((~v121(constB69, 1)) | v124(constB69, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11744, 11323])).
% 218.08/140.64 tff(11746,plain,
% 218.08/140.64 (v124(constB69, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11745, 11743])).
% 218.08/140.64 tff(11747,plain,
% 218.08/140.64 ((~(v124(constB69, 1) <=> b100(1))) | (~v124(constB69, 1)) | b100(1)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11748,plain,
% 218.08/140.64 (~(v124(constB69, 1) <=> b100(1))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11747, 2274, 11746])).
% 218.08/140.64 tff(11749,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 1) <=> b100(1)))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11750,plain,
% 218.08/140.64 (($false | $false | (v124(constB69, 1) <=> b100(1))) <=> (v124(constB69, 1) <=> b100(1))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11751,plain,
% 218.08/140.64 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b100(1))) <=> ($false | $false | (v124(constB69, 1) <=> b100(1)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.64 tff(11752,plain,
% 218.08/140.64 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b100(1))) <=> (v124(constB69, 1) <=> b100(1))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11751, 11750])).
% 218.08/140.64 tff(11753,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 1) <=> b100(1)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[11752])).
% 218.08/140.64 tff(11754,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 1) <=> b100(1)))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11753, 11749])).
% 218.08/140.64 tff(11755,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b100(1)))),
% 218.08/140.64 inference(quant_inst,[status(thm)],[])).
% 218.08/140.64 tff(11756,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 1) <=> b100(1))),
% 218.08/140.64 inference(modus_ponens,[status(thm)],[11755, 11754])).
% 218.08/140.64 tff(11757,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11756, 11260, 11748])).
% 218.08/140.64 tff(11758,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (~(v84(constB70, 1) <=> v123(constB70, 1))) | (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))) | (~(v84(constB70, 2) <=> v123(constB70, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11759,plain,
% 218.08/140.64 (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11758, 11726, 11725, 5977, 11724])).
% 218.08/140.64 tff(11760,plain,
% 218.08/140.64 (v118(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11712, 11759])).
% 218.08/140.64 tff(11761,plain,
% 218.08/140.64 (~v84(constB72, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11710, 11760])).
% 218.08/140.64 tff(11762,plain,
% 218.08/140.64 (~v113(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11540, 9954])).
% 218.08/140.64 tff(11763,plain,
% 218.08/140.64 (v124(constB69, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11270, 11726])).
% 218.08/140.64 tff(11764,plain,
% 218.08/140.64 (v121(constB69, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10775, 11763])).
% 218.08/140.64 tff(11765,plain,
% 218.08/140.64 (v123(constB70, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10772, 11764])).
% 218.08/140.64 tff(11766,plain,
% 218.08/140.64 (v84(constB70, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10769, 11765, 11724])).
% 218.08/140.64 tff(11767,plain,
% 218.08/140.64 (v84(constB71, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10825, 11766])).
% 218.08/140.64 tff(11768,plain,
% 218.08/140.64 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5690, 11767])).
% 218.08/140.64 tff(11769,plain,
% 218.08/140.64 ((~(v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (~v114(constB71))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5692, 11768])).
% 218.08/140.64 tff(11770,plain,
% 218.08/140.64 (~v114(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11769, 5184])).
% 218.08/140.64 tff(11771,plain,
% 218.08/140.64 (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5714, 11767])).
% 218.08/140.64 tff(11772,plain,
% 218.08/140.64 ((~(v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))) | (~v115(constB71))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5716, 11771])).
% 218.08/140.64 tff(11773,plain,
% 218.08/140.64 (~v115(constB71)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11772, 5713])).
% 218.08/140.64 tff(11774,plain,
% 218.08/140.64 (v111(constB69) | v116(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10740, 11272])).
% 218.08/140.64 tff(11775,plain,
% 218.08/140.64 ((~(v110(constB69) <=> (v111(constB69) | v116(constB69)))) | v110(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10431, 11774])).
% 218.08/140.64 tff(11776,plain,
% 218.08/140.64 (v110(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11775, 5490])).
% 218.08/140.64 tff(11777,plain,
% 218.08/140.64 (v110(constB69) | v117(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10433, 11776])).
% 218.08/140.64 tff(11778,plain,
% 218.08/140.64 (v109(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10435, 11777, 5488])).
% 218.08/140.64 tff(11779,plain,
% 218.08/140.64 (v109(constB69) | v118(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10437, 11778])).
% 218.08/140.64 tff(11780,plain,
% 218.08/140.64 (v108(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10637, 11779])).
% 218.08/140.64 tff(11781,plain,
% 218.08/140.64 (v108(constB69) | v119(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10441, 11780])).
% 218.08/140.64 tff(11782,plain,
% 218.08/140.64 (v107(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10634, 11781])).
% 218.08/140.64 tff(11783,plain,
% 218.08/140.64 (~((~v107(constB69)) | (~v120(constB69)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10451, 11782])).
% 218.08/140.64 tff(11784,plain,
% 218.08/140.64 (v106(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10454, 11783])).
% 218.08/140.64 tff(11785,plain,
% 218.08/140.64 (v105(constB69) | v106(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10456, 11784])).
% 218.08/140.64 tff(11786,plain,
% 218.08/140.64 (v102(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10459, 11785])).
% 218.08/140.64 tff(11787,plain,
% 218.08/140.64 (v104(constB70)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10400, 11786])).
% 218.08/140.64 tff(11788,plain,
% 218.08/140.64 (~((~v95(constB70)) | (~v104(constB70)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10397, 11787])).
% 218.08/140.64 tff(11789,plain,
% 218.08/140.64 (v94(constB70)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10366, 11788])).
% 218.08/140.64 tff(11790,plain,
% 218.08/140.64 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10470, 11789])).
% 218.08/140.64 tff(11791,plain,
% 218.08/140.64 (v84(constB70, 0) <=> v123(constB70, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10985, 11790])).
% 218.08/140.64 tff(11792,plain,
% 218.08/140.64 (v84(constB70, 2) <=> v123(constB70, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10483, 11790])).
% 218.08/140.64 tff(11793,plain,
% 218.08/140.64 (v84(constB70, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10769, 11792, 11765])).
% 218.08/140.64 tff(11794,plain,
% 218.08/140.64 (v84(constB71, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10825, 11793])).
% 218.08/140.64 tff(11795,plain,
% 218.08/140.64 (~v84(constB71, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9967, 11794, 9954, 9955, 9952, 9953])).
% 218.08/140.64 tff(11796,plain,
% 218.08/140.64 (v84(constB71, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5980, 11795, 5977, 11794])).
% 218.08/140.64 tff(11797,plain,
% 218.08/140.64 (v84(constB70, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11217, 11796])).
% 218.08/140.64 tff(11798,plain,
% 218.08/140.64 (v123(constB70, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10726, 11797, 11791])).
% 218.08/140.64 tff(11799,plain,
% 218.08/140.64 ((~v123(constB70, 0)) | v121(constB69, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10729, 11187])).
% 218.08/140.64 tff(11800,plain,
% 218.08/140.64 (v121(constB69, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11799, 11798])).
% 218.08/140.64 tff(11801,plain,
% 218.08/140.64 ((~v121(constB69, 0)) | v124(constB69, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10691, 11181])).
% 218.08/140.64 tff(11802,plain,
% 218.08/140.64 (v124(constB69, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11801, 11800])).
% 218.08/140.64 tff(11803,plain,
% 218.08/140.64 ((~(v124(constB69, 0) <=> b100(0))) | (~v124(constB69, 0)) | b100(0)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11804,plain,
% 218.08/140.64 (~(v124(constB69, 0) <=> b100(0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11803, 3674, 11802])).
% 218.08/140.64 tff(11805,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 0) <=> b100(0)))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11806,plain,
% 218.08/140.64 (($false | $false | (v124(constB69, 0) <=> b100(0))) <=> (v124(constB69, 0) <=> b100(0))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11807,plain,
% 218.08/140.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b100(0))) <=> ($false | $false | (v124(constB69, 0) <=> b100(0)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.64 tff(11808,plain,
% 218.08/140.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b100(0))) <=> (v124(constB69, 0) <=> b100(0))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11807, 11806])).
% 218.08/140.64 tff(11809,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 0) <=> b100(0)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[11808])).
% 218.08/140.64 tff(11810,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 0) <=> b100(0)))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11809, 11805])).
% 218.08/140.64 tff(11811,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b100(0)))),
% 218.08/140.64 inference(quant_inst,[status(thm)],[])).
% 218.08/140.64 tff(11812,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b100(B)))) | (v124(constB69, 0) <=> b100(0))),
% 218.08/140.64 inference(modus_ponens,[status(thm)],[11811, 11810])).
% 218.08/140.64 tff(11813,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11812, 11726, 11804])).
% 218.08/140.64 tff(11814,plain,((~v116(constB69)) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))) | v114(constB71) | v115(constB71) | v113(constB71)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11815,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11814, 11773, 11770, 9954, 5977, 11272, 11762])).
% 218.08/140.64 tff(11816,plain,((~v116(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))) | (~(v84(constB70, 2) <=> v123(constB70, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11817,plain,
% 218.08/140.64 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11816, 11272, 5977, 11724])).
% 218.08/140.64 tff(11818,plain,
% 218.08/140.64 (v124(constB71, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9982, 11817])).
% 218.08/140.64 tff(11819,plain,
% 218.08/140.64 (v121(constB71, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9912, 11818])).
% 218.08/140.64 tff(11820,plain,
% 218.08/140.64 (v123(constB72, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[9898, 11819])).
% 218.08/140.64 tff(11821,plain,
% 218.08/140.64 (v84(constB72, 0) | (~v123(constB72, 0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10027, 10010])).
% 218.08/140.64 tff(11822,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11821, 11820, 11761])).
% 218.08/140.64 tff(11823,plain,((~v116(constB69)) | (~(v84(constB70, 1) <=> v123(constB70, 1))) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))) | (~(v84(constB70, 2) <=> v123(constB70, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11824,plain,
% 218.08/140.64 (~v116(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11823, 10291, 11723, 11722])).
% 218.08/140.64 tff(11825,assumption,(~(v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))))), introduced(assumption)).
% 218.08/140.64 tff(11826,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5598, 656, 11825])).
% 218.08/140.64 tff(11827,plain,(v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11828,assumption,(~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))), introduced(assumption)).
% 218.08/140.64 tff(11829,plain,
% 218.08/140.64 (~v84(constB69, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5522, 11828])).
% 218.08/140.64 tff(11830,plain,
% 218.08/140.64 ((v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))) | v84(constB69, 2)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11831,plain,
% 218.08/140.64 (v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11830, 11829])).
% 218.08/140.64 tff(11832,plain,
% 218.08/140.64 (~v117(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5602, 11831, 11827])).
% 218.08/140.64 tff(11833,assumption,(~(v109(constB69) <=> (v110(constB69) | v117(constB69)))), introduced(assumption)).
% 218.08/140.64 tff(11834,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5487, 456, 11833])).
% 218.08/140.64 tff(11835,plain,(v109(constB69) <=> (v110(constB69) | v117(constB69))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11836,plain,
% 218.08/140.64 ((v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))) | v84(constB69, 2)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11837,plain,
% 218.08/140.64 (v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11836, 11829])).
% 218.08/140.64 tff(11838,plain,
% 218.08/140.64 (~v118(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11229, 11837])).
% 218.08/140.64 tff(11839,assumption,(v108(constB69) | v119(constB69)), introduced(assumption)).
% 218.08/140.64 tff(11840,plain,
% 218.08/140.64 (v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11194, 11829])).
% 218.08/140.64 tff(11841,plain,
% 218.08/140.64 (~v119(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11196, 11840])).
% 218.08/140.64 tff(11842,plain,
% 218.08/140.64 (v108(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5622, 11841, 11839])).
% 218.08/140.64 tff(11843,plain,
% 218.08/140.64 (v109(constB69) | v118(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11243, 11842])).
% 218.08/140.64 tff(11844,plain,
% 218.08/140.64 (v109(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5617, 11843, 11838])).
% 218.08/140.64 tff(11845,plain,
% 218.08/140.64 (v110(constB69) | v117(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5608, 11844, 11835])).
% 218.08/140.64 tff(11846,plain,
% 218.08/140.64 (v110(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5605, 11845, 11832])).
% 218.08/140.64 tff(11847,assumption,(~v116(constB69)), introduced(assumption)).
% 218.08/140.64 tff(11848,plain,
% 218.08/140.64 ((v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))) | v84(constB69, 0)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11849,plain,
% 218.08/140.64 (v84(constB69, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11848, 11828])).
% 218.08/140.64 tff(11850,plain,
% 218.08/140.64 ((v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))) | (~v84(constB69, 0))),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11851,plain,
% 218.08/140.64 (v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11850, 11849])).
% 218.08/140.64 tff(11852,assumption,(~(v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))), introduced(assumption)).
% 218.08/140.64 tff(11853,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5579, 622, 11852])).
% 218.08/140.64 tff(11854,plain,(v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11855,plain,
% 218.08/140.64 ((~v115(constB69)) | (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5583, 11854])).
% 218.08/140.64 tff(11856,plain,
% 218.08/140.64 (~v115(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11855, 11851])).
% 218.08/140.64 tff(11857,plain,
% 218.08/140.64 ((v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)) | (~v84(constB69, 0))),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11858,plain,
% 218.08/140.64 (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11857, 11849])).
% 218.08/140.64 tff(11859,plain,
% 218.08/140.64 ((~v113(constB69)) | (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5559, 11211])).
% 218.08/140.64 tff(11860,plain,
% 218.08/140.64 (~v113(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11859, 11858])).
% 218.08/140.64 tff(11861,plain,
% 218.08/140.64 (v84(constB69, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10628, 11828])).
% 218.08/140.64 tff(11862,plain,
% 218.08/140.64 (v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5564, 11861])).
% 218.08/140.64 tff(11863,assumption,(~(v114(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))))), introduced(assumption)).
% 218.08/140.64 tff(11864,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5562, 298, 11863])).
% 218.08/140.64 tff(11865,plain,(v114(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11866,plain,
% 218.08/140.64 ((~v114(constB69)) | (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5566, 11865])).
% 218.08/140.64 tff(11867,plain,
% 218.08/140.64 (~v114(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11866, 11862])).
% 218.08/140.64 tff(11868,plain,
% 218.08/140.64 (~(v113(constB69) | v114(constB69))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5569, 11867, 11860])).
% 218.08/140.64 tff(11869,plain,
% 218.08/140.64 ((~v112(constB69)) | (v113(constB69) | v114(constB69))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5571, 11208])).
% 218.08/140.64 tff(11870,plain,
% 218.08/140.64 (~v112(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11869, 11868])).
% 218.08/140.64 tff(11871,plain,
% 218.08/140.64 (~(v112(constB69) | v115(constB69))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5585, 11870, 11856])).
% 218.08/140.64 tff(11872,plain,
% 218.08/140.64 ((~v111(constB69)) | (v112(constB69) | v115(constB69))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5587, 11224])).
% 218.08/140.64 tff(11873,plain,
% 218.08/140.64 (~v111(constB69)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11872, 11871])).
% 218.08/140.64 tff(11874,plain,
% 218.08/140.64 (~(v111(constB69) | v116(constB69))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5589, 11873, 11847])).
% 218.08/140.64 tff(11875,assumption,(~(v110(constB69) <=> (v111(constB69) | v116(constB69)))), introduced(assumption)).
% 218.08/140.64 tff(11876,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5489, 265, 11875])).
% 218.08/140.64 tff(11877,plain,(v110(constB69) <=> (v111(constB69) | v116(constB69))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11878,plain,
% 218.08/140.64 ((~v110(constB69)) | (v111(constB69) | v116(constB69))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5591, 11877])).
% 218.08/140.64 tff(11879,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11878, 11874, 11846])).
% 218.08/140.64 tff(11880,plain,((v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))) | v116(constB69) | (~(v108(constB69) | v119(constB69)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11881,plain,
% 218.08/140.64 (v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11880, 11824, 11721])).
% 218.08/140.64 tff(11882,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))), introduced(assumption)).
% 218.08/140.64 tff(11883,plain,
% 218.08/140.64 ((~(v124(constB67, 2) <=> b011(2))) | (~v124(constB67, 2)) | b011(2)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11884,plain,
% 218.08/140.64 (~(v124(constB67, 2) <=> b011(2))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11883, 2569, 11006])).
% 218.08/140.64 tff(11885,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 2) <=> b011(2)))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11886,plain,
% 218.08/140.64 (($false | $false | (v124(constB67, 2) <=> b011(2))) <=> (v124(constB67, 2) <=> b011(2))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11887,plain,
% 218.08/140.64 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b011(2))) <=> ($false | $false | (v124(constB67, 2) <=> b011(2)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.64 tff(11888,plain,
% 218.08/140.64 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b011(2))) <=> (v124(constB67, 2) <=> b011(2))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11887, 11886])).
% 218.08/140.64 tff(11889,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 2) <=> b011(2)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[11888])).
% 218.08/140.64 tff(11890,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 2) <=> b011(2)))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11889, 11885])).
% 218.08/140.64 tff(11891,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b011(2)))),
% 218.08/140.64 inference(quant_inst,[status(thm)],[])).
% 218.08/140.64 tff(11892,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 2) <=> b011(2))),
% 218.08/140.64 inference(modus_ponens,[status(thm)],[11891, 11890])).
% 218.08/140.64 tff(11893,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11892, 11882, 11884])).
% 218.08/140.64 tff(11894,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (~v124(constB67, 2))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11895,plain,
% 218.08/140.64 (~v124(constB67, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11894, 11882])).
% 218.08/140.64 tff(11896,plain,
% 218.08/140.64 (~v121(constB67, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11039, 11895])).
% 218.08/140.64 tff(11897,plain,
% 218.08/140.64 (~v123(constB68, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11060, 11896])).
% 218.08/140.64 tff(11898,plain,
% 218.08/140.64 (~v84(constB68, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11062, 11897, 11003])).
% 218.08/140.64 tff(11899,plain,
% 218.08/140.64 (~v84(constB69, 2)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11068, 11898])).
% 218.08/140.64 tff(11900,plain,
% 218.08/140.64 ((~(v124(constB67, 1) <=> b011(1))) | v124(constB67, 1) | (~b011(1))),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11901,plain,
% 218.08/140.64 (~(v124(constB67, 1) <=> b011(1))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11900, 2593, 11070])).
% 218.08/140.64 tff(11902,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 1) <=> b011(1)))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11903,plain,
% 218.08/140.64 (($false | $false | (v124(constB67, 1) <=> b011(1))) <=> (v124(constB67, 1) <=> b011(1))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11904,plain,
% 218.08/140.64 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b011(1))) <=> ($false | $false | (v124(constB67, 1) <=> b011(1)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.64 tff(11905,plain,
% 218.08/140.64 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b011(1))) <=> (v124(constB67, 1) <=> b011(1))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11904, 11903])).
% 218.08/140.64 tff(11906,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 1) <=> b011(1)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[11905])).
% 218.08/140.64 tff(11907,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 1) <=> b011(1)))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11906, 11902])).
% 218.08/140.64 tff(11908,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b011(1)))),
% 218.08/140.64 inference(quant_inst,[status(thm)],[])).
% 218.08/140.64 tff(11909,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 1) <=> b011(1))),
% 218.08/140.64 inference(modus_ponens,[status(thm)],[11908, 11907])).
% 218.08/140.64 tff(11910,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11909, 11882, 11901])).
% 218.08/140.64 tff(11911,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | v124(constB67, 1)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11912,plain,
% 218.08/140.64 (v124(constB67, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11911, 11882])).
% 218.08/140.64 tff(11913,plain,
% 218.08/140.64 (v121(constB67, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11096, 11912])).
% 218.08/140.64 tff(11914,plain,
% 218.08/140.64 (v123(constB68, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11110, 11913])).
% 218.08/140.64 tff(11915,plain,
% 218.08/140.64 (v84(constB68, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11112, 11914, 11002])).
% 218.08/140.64 tff(11916,plain,
% 218.08/140.64 (v84(constB69, 1)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11114, 11915])).
% 218.08/140.64 tff(11917,assumption,(~v124(constB67, 0)), introduced(assumption)).
% 218.08/140.64 tff(11918,plain,
% 218.08/140.64 ((~(v124(constB67, 0) <=> b011(0))) | v124(constB67, 0) | (~b011(0))),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11919,plain,
% 218.08/140.64 (~(v124(constB67, 0) <=> b011(0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11918, 2025, 11917])).
% 218.08/140.64 tff(11920,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 0) <=> b011(0)))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11921,plain,
% 218.08/140.64 (($false | $false | (v124(constB67, 0) <=> b011(0))) <=> (v124(constB67, 0) <=> b011(0))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11922,plain,
% 218.08/140.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b011(0))) <=> ($false | $false | (v124(constB67, 0) <=> b011(0)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.64 tff(11923,plain,
% 218.08/140.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b011(0))) <=> (v124(constB67, 0) <=> b011(0))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11922, 11921])).
% 218.08/140.64 tff(11924,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 0) <=> b011(0)))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[11923])).
% 218.08/140.64 tff(11925,plain,
% 218.08/140.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 0) <=> b011(0)))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11924, 11920])).
% 218.08/140.64 tff(11926,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b011(0)))),
% 218.08/140.64 inference(quant_inst,[status(thm)],[])).
% 218.08/140.64 tff(11927,plain,
% 218.08/140.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (v124(constB67, 0) <=> b011(0))),
% 218.08/140.64 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 218.08/140.64 tff(11928,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11927, 11882, 11919])).
% 218.08/140.64 tff(11929,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | v124(constB67, 0)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11930,plain,
% 218.08/140.64 (v124(constB67, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11929, 11882])).
% 218.08/140.64 tff(11931,assumption,(~(v121(constB67, 0) <=> v124(constB67, 0))), introduced(assumption)).
% 218.08/140.64 tff(11932,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11135, 11027, 11931])).
% 218.08/140.64 tff(11933,plain,(v121(constB67, 0) <=> v124(constB67, 0)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11934,plain,
% 218.08/140.64 ((~(v121(constB67, 0) <=> v124(constB67, 0))) | v121(constB67, 0) | (~v124(constB67, 0))),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11935,plain,
% 218.08/140.64 (v121(constB67, 0) | (~v124(constB67, 0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11934, 11933])).
% 218.08/140.64 tff(11936,plain,
% 218.08/140.64 (v121(constB67, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11935, 11930])).
% 218.08/140.64 tff(11937,assumption,(~(v123(constB68, 0) <=> v121(constB67, 0))), introduced(assumption)).
% 218.08/140.64 tff(11938,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11126, 11048, 11937])).
% 218.08/140.64 tff(11939,plain,(v123(constB68, 0) <=> v121(constB67, 0)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11940,plain,
% 218.08/140.64 ((~(v123(constB68, 0) <=> v121(constB67, 0))) | v123(constB68, 0) | (~v121(constB67, 0))),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11941,plain,
% 218.08/140.64 (v123(constB68, 0) | (~v121(constB67, 0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11940, 11939])).
% 218.08/140.64 tff(11942,plain,
% 218.08/140.64 (v123(constB68, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11941, 11936])).
% 218.08/140.64 tff(11943,plain,
% 218.08/140.64 ((~(v84(constB68, 0) <=> v123(constB68, 0))) | v84(constB68, 0) | (~v123(constB68, 0))),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11944,plain,
% 218.08/140.64 (v84(constB68, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11943, 11942, 11004])).
% 218.08/140.64 tff(11945,assumption,(~(v84(constB69, 0) <=> v84(constB68, 0))), introduced(assumption)).
% 218.08/140.64 tff(11946,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5273, 5265, 11945])).
% 218.08/140.64 tff(11947,plain,(v84(constB69, 0) <=> v84(constB68, 0)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11948,plain,
% 218.08/140.64 (v84(constB69, 0) | (~v84(constB68, 0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5478, 11947])).
% 218.08/140.64 tff(11949,plain,
% 218.08/140.64 (v84(constB69, 0)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11948, 11944])).
% 218.08/140.64 tff(11950,plain,
% 218.08/140.64 ($false),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[10646, 11949, 11916, 10640, 11899])).
% 218.08/140.64 tff(11951,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))) | (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))) | (~(v84(constB68, 2) <=> v123(constB68, 2))) | (~(v84(constB68, 0) <=> v123(constB68, 0))) | (~(v84(constB68, 1) <=> v123(constB68, 1)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.64 tff(11952,plain,
% 218.08/140.64 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11951, 11881, 10998, 10346, 10358])).
% 218.08/140.64 tff(11953,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))), introduced(assumption)).
% 218.08/140.64 tff(11954,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))), introduced(assumption)).
% 218.08/140.64 tff(11955,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))), introduced(assumption)).
% 218.08/140.64 tff(11956,plain,
% 218.08/140.64 ((v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))) | v84(constB67, 2)),
% 218.08/140.64 inference(tautology,[status(thm)],[])).
% 218.08/140.64 tff(11957,plain,
% 218.08/140.64 (v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11956, 5465])).
% 218.08/140.64 tff(11958,plain,
% 218.08/140.64 (~v117(constB67)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[7365, 11957])).
% 218.08/140.64 tff(11959,plain,
% 218.08/140.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B))))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11960,plain,
% 218.08/140.64 (((~v114(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B))))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11961,plain,
% 218.08/140.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))))),
% 218.08/140.64 inference(monotonicity,[status(thm)],[11960])).
% 218.08/140.64 tff(11962,plain,
% 218.08/140.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B))))),
% 218.08/140.64 inference(transitivity,[status(thm)],[11961, 11959])).
% 218.08/140.64 tff(11963,plain,
% 218.08/140.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.64 inference(quant_inst,[status(thm)],[])).
% 218.08/140.64 tff(11964,plain,
% 218.08/140.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))),
% 218.08/140.64 inference(modus_ponens,[status(thm)],[11963, 11962])).
% 218.08/140.64 tff(11965,plain,
% 218.08/140.64 (~v114(constB67)),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[11964, 2418, 11953])).
% 218.08/140.64 tff(11966,plain,
% 218.08/140.64 (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 218.08/140.64 inference(unit_resolution,[status(thm)],[5418, 11965, 5415])).
% 218.08/140.64 tff(11967,plain,
% 218.08/140.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B))))),
% 218.08/140.64 inference(rewrite,[status(thm)],[])).
% 218.08/140.64 tff(11968,plain,
% 218.08/140.64 (((~v115(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B))))),
% 218.08/140.65 inference(rewrite,[status(thm)],[])).
% 218.08/140.65 tff(11969,plain,
% 218.08/140.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))))),
% 218.08/140.65 inference(monotonicity,[status(thm)],[11968])).
% 218.08/140.65 tff(11970,plain,
% 218.08/140.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B))))),
% 218.08/140.65 inference(transitivity,[status(thm)],[11969, 11967])).
% 218.08/140.65 tff(11971,plain,
% 218.08/140.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.65 inference(quant_inst,[status(thm)],[])).
% 218.08/140.65 tff(11972,plain,
% 218.08/140.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))),
% 218.08/140.65 inference(modus_ponens,[status(thm)],[11971, 11970])).
% 218.08/140.65 tff(11973,plain,
% 218.08/140.65 (~v115(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[11972, 2144, 11954])).
% 218.08/140.65 tff(11974,plain,
% 218.08/140.65 (v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5460, 11973, 5457])).
% 218.08/140.65 tff(11975,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))), introduced(assumption)).
% 218.08/140.65 tff(11976,plain,
% 218.08/140.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B))))),
% 218.08/140.65 inference(rewrite,[status(thm)],[])).
% 218.08/140.65 tff(11977,plain,
% 218.08/140.65 (((~v116(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B))))),
% 218.08/140.65 inference(rewrite,[status(thm)],[])).
% 218.08/140.65 tff(11978,plain,
% 218.08/140.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))))),
% 218.08/140.65 inference(monotonicity,[status(thm)],[11977])).
% 218.08/140.65 tff(11979,plain,
% 218.08/140.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B))))),
% 218.08/140.65 inference(transitivity,[status(thm)],[11978, 11976])).
% 218.08/140.65 tff(11980,plain,
% 218.08/140.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.65 inference(quant_inst,[status(thm)],[])).
% 218.08/140.65 tff(11981,plain,
% 218.08/140.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))),
% 218.08/140.65 inference(modus_ponens,[status(thm)],[11980, 11979])).
% 218.08/140.65 tff(11982,plain,
% 218.08/140.65 (~v116(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[11981, 2230, 11975])).
% 218.08/140.65 tff(11983,plain,
% 218.08/140.65 (v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5448, 11982, 5445])).
% 218.08/140.65 tff(11984,plain,
% 218.08/140.65 (~v84(constB67, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5471, 11983, 5465, 11974])).
% 218.08/140.65 tff(11985,plain,
% 218.08/140.65 (~v84(constB67, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5426, 5422, 5423, 5425])).
% 218.08/140.65 tff(11986,plain,
% 218.08/140.65 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B))))),
% 218.08/140.65 inference(rewrite,[status(thm)],[])).
% 218.08/140.65 tff(11987,plain,
% 218.08/140.65 ((v105(constB65) | ![B: $int] : ((v121(constB65, B) <=> v124(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B))))),
% 218.08/140.65 inference(rewrite,[status(thm)],[])).
% 218.08/140.65 tff(11988,plain,
% 218.08/140.65 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB65) | ![B: $int] : ((v121(constB65, B) <=> v124(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))))),
% 218.08/140.65 inference(monotonicity,[status(thm)],[11987])).
% 218.08/140.65 tff(11989,plain,
% 218.08/140.65 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB65) | ![B: $int] : ((v121(constB65, B) <=> v124(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B))))),
% 218.08/140.65 inference(transitivity,[status(thm)],[11988, 11986])).
% 218.08/140.65 tff(11990,plain,
% 218.08/140.65 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB65) | ![B: $int] : ((v121(constB65, B) <=> v124(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.65 inference(quant_inst,[status(thm)],[])).
% 218.08/140.65 tff(11991,plain,
% 218.08/140.65 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))),
% 218.08/140.65 inference(modus_ponens,[status(thm)],[11990, 11989])).
% 218.08/140.65 tff(11992,plain,
% 218.08/140.65 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[11991, 1562, 7209])).
% 218.08/140.65 tff(11993,plain,
% 218.08/140.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 2) <=> v124(constB65, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 2) <=> v124(constB65, 2)))),
% 218.08/140.65 inference(rewrite,[status(thm)],[])).
% 218.08/140.65 tff(11994,plain,
% 218.08/140.65 (($false | $false | (v121(constB65, 2) <=> v124(constB65, 2))) <=> (v121(constB65, 2) <=> v124(constB65, 2))),
% 218.08/140.65 inference(rewrite,[status(thm)],[])).
% 218.08/140.65 tff(11995,plain,
% 218.08/140.65 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB65, 2) <=> v124(constB65, 2))) <=> ($false | $false | (v121(constB65, 2) <=> v124(constB65, 2)))),
% 218.08/140.65 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.65 tff(11996,plain,
% 218.08/140.65 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB65, 2) <=> v124(constB65, 2))) <=> (v121(constB65, 2) <=> v124(constB65, 2))),
% 218.08/140.65 inference(transitivity,[status(thm)],[11995, 11994])).
% 218.08/140.65 tff(11997,plain,
% 218.08/140.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB65, 2) <=> v124(constB65, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 2) <=> v124(constB65, 2)))),
% 218.08/140.65 inference(monotonicity,[status(thm)],[11996])).
% 218.08/140.65 tff(11998,plain,
% 218.08/140.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB65, 2) <=> v124(constB65, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 2) <=> v124(constB65, 2)))),
% 218.08/140.65 inference(transitivity,[status(thm)],[11997, 11993])).
% 218.08/140.65 tff(11999,plain,
% 218.08/140.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB65, 2) <=> v124(constB65, 2)))),
% 218.08/140.65 inference(quant_inst,[status(thm)],[])).
% 218.08/140.65 tff(12000,plain,
% 218.08/140.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 2) <=> v124(constB65, 2))),
% 218.08/140.65 inference(modus_ponens,[status(thm)],[11999, 11998])).
% 218.08/140.65 tff(12001,plain,
% 218.08/140.65 (v121(constB65, 2) <=> v124(constB65, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12000, 11992])).
% 218.08/140.65 tff(12002,plain,
% 218.08/140.65 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B))))),
% 218.08/140.65 inference(rewrite,[status(thm)],[])).
% 218.08/140.65 tff(12003,plain,
% 218.08/140.65 (((~nextState(constB65, constB66)) | ![B: $int] : ((v123(constB66, B) <=> v121(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B))))),
% 218.08/140.65 inference(rewrite,[status(thm)],[])).
% 218.08/140.65 tff(12004,plain,
% 218.08/140.65 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB65, constB66)) | ![B: $int] : ((v123(constB66, B) <=> v121(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))))),
% 218.08/140.65 inference(monotonicity,[status(thm)],[12003])).
% 218.08/140.65 tff(12005,plain,
% 218.08/140.65 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB65, constB66)) | ![B: $int] : ((v123(constB66, B) <=> v121(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B))))),
% 218.08/140.65 inference(transitivity,[status(thm)],[12004, 12002])).
% 218.08/140.65 tff(12006,plain,
% 218.08/140.65 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB65, constB66)) | ![B: $int] : ((v123(constB66, B) <=> v121(constB65, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.65 inference(quant_inst,[status(thm)],[])).
% 218.08/140.65 tff(12007,plain,
% 218.08/140.65 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB65, constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))),
% 218.08/140.65 inference(modus_ponens,[status(thm)],[12006, 12005])).
% 218.08/140.65 tff(12008,plain,
% 218.08/140.65 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12007, 7220, 1527])).
% 218.08/140.65 tff(12009,plain,
% 218.08/140.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 2) <=> v121(constB65, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 2) <=> v121(constB65, 2)))),
% 218.08/140.65 inference(rewrite,[status(thm)],[])).
% 218.08/140.65 tff(12010,plain,
% 218.08/140.65 (($false | $false | (v123(constB66, 2) <=> v121(constB65, 2))) <=> (v123(constB66, 2) <=> v121(constB65, 2))),
% 218.08/140.65 inference(rewrite,[status(thm)],[])).
% 218.08/140.65 tff(12011,plain,
% 218.08/140.65 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB66, 2) <=> v121(constB65, 2))) <=> ($false | $false | (v123(constB66, 2) <=> v121(constB65, 2)))),
% 218.08/140.65 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.65 tff(12012,plain,
% 218.08/140.65 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB66, 2) <=> v121(constB65, 2))) <=> (v123(constB66, 2) <=> v121(constB65, 2))),
% 218.08/140.65 inference(transitivity,[status(thm)],[12011, 12010])).
% 218.08/140.65 tff(12013,plain,
% 218.08/140.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB66, 2) <=> v121(constB65, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 2) <=> v121(constB65, 2)))),
% 218.08/140.65 inference(monotonicity,[status(thm)],[12012])).
% 218.08/140.65 tff(12014,plain,
% 218.08/140.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB66, 2) <=> v121(constB65, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 2) <=> v121(constB65, 2)))),
% 218.08/140.65 inference(transitivity,[status(thm)],[12013, 12009])).
% 218.08/140.65 tff(12015,plain,
% 218.08/140.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB66, 2) <=> v121(constB65, 2)))),
% 218.08/140.65 inference(quant_inst,[status(thm)],[])).
% 218.08/140.65 tff(12016,plain,
% 218.08/140.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 2) <=> v121(constB65, 2))),
% 218.08/140.65 inference(modus_ponens,[status(thm)],[12015, 12014])).
% 218.08/140.65 tff(12017,plain,
% 218.08/140.65 (v123(constB66, 2) <=> v121(constB65, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12016, 12008])).
% 218.08/140.65 tff(12018,plain,
% 218.08/140.65 (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5428, 5425, 5422, 5465])).
% 218.08/140.65 tff(12019,plain,
% 218.08/140.65 (v113(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5404, 12018, 5380])).
% 218.08/140.65 tff(12020,plain,
% 218.08/140.65 (v113(constB67) | v114(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5402, 12019])).
% 218.08/140.65 tff(12021,plain,
% 218.08/140.65 (v112(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5399, 12020, 5382])).
% 218.08/140.65 tff(12022,plain,
% 218.08/140.65 (v112(constB67) | v115(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5397, 12021])).
% 218.08/140.65 tff(12023,plain,
% 218.08/140.65 (v111(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5394, 12022, 5384])).
% 218.08/140.65 tff(12024,plain,
% 218.08/140.65 (v111(constB67) | v116(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5392, 12023])).
% 218.08/140.65 tff(12025,plain,
% 218.08/140.65 (v110(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5389, 12024, 5386])).
% 218.08/140.65 tff(12026,plain,
% 218.08/140.65 (v110(constB67) | v117(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5387, 12025])).
% 218.08/140.65 tff(12027,plain,
% 218.08/140.65 (v109(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5362, 12026, 5352])).
% 218.08/140.65 tff(12028,plain,
% 218.08/140.65 (v109(constB67) | v118(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5360, 12027])).
% 218.08/140.65 tff(12029,plain,
% 218.08/140.65 (v108(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5357, 12028, 5354])).
% 218.08/140.65 tff(12030,plain,
% 218.08/140.65 (v108(constB67) | v119(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[5355, 12029])).
% 218.08/140.65 tff(12031,assumption,(~v107(constB65)), introduced(assumption)).
% 218.08/140.65 tff(12032,plain,
% 218.08/140.65 ((~v107(constB65)) | (~v120(constB65))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7196, 12031])).
% 218.08/140.65 tff(12033,plain,
% 218.08/140.65 (~v106(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7201, 12032])).
% 218.08/140.65 tff(12034,plain,
% 218.08/140.65 (~(v105(constB65) | v106(constB65))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7211, 12033])).
% 218.08/140.65 tff(12035,plain,
% 218.08/140.65 (~v102(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7216, 12034])).
% 218.08/140.65 tff(12036,plain,
% 218.08/140.65 (~v104(constB66)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7226, 12035])).
% 218.08/140.65 tff(12037,plain,
% 218.08/140.65 ((~v95(constB66)) | (~v104(constB66))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7228, 12036])).
% 218.08/140.65 tff(12038,plain,
% 218.08/140.65 (~v94(constB66)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7235, 12037])).
% 218.08/140.65 tff(12039,plain,
% 218.08/140.65 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7243, 12038])).
% 218.08/140.65 tff(12040,plain,
% 218.08/140.65 (v84(constB66, 0) <=> v84(constB65, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7281, 12039])).
% 218.08/140.65 tff(12041,plain,
% 218.08/140.65 ((~(v107(constB65) <=> (v108(constB65) | v119(constB65)))) | v107(constB65) | (~(v108(constB65) | v119(constB65)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12042,plain,
% 218.08/140.65 ((~(v107(constB65) <=> (v108(constB65) | v119(constB65)))) | (~(v108(constB65) | v119(constB65)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12041, 12031])).
% 218.08/140.65 tff(12043,plain,
% 218.08/140.65 (~(v108(constB65) | v119(constB65))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12042, 6247])).
% 218.08/140.65 tff(12044,plain,
% 218.08/140.65 ((v108(constB65) | v119(constB65)) | (~v108(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12045,plain,
% 218.08/140.65 (~v108(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12044, 12043])).
% 218.08/140.65 tff(12046,plain,
% 218.08/140.65 ((~(v108(constB65) <=> (v109(constB65) | v118(constB65)))) | v108(constB65) | (~(v109(constB65) | v118(constB65)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12047,plain,
% 218.08/140.65 ((~(v108(constB65) <=> (v109(constB65) | v118(constB65)))) | (~(v109(constB65) | v118(constB65)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12046, 12045])).
% 218.08/140.65 tff(12048,plain,
% 218.08/140.65 (~(v109(constB65) | v118(constB65))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12047, 6249])).
% 218.08/140.65 tff(12049,plain,
% 218.08/140.65 ((v109(constB65) | v118(constB65)) | (~v109(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12050,plain,
% 218.08/140.65 (~v109(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12049, 12048])).
% 218.08/140.65 tff(12051,plain,
% 218.08/140.65 ((~(v109(constB65) <=> (v110(constB65) | v117(constB65)))) | v109(constB65) | (~(v110(constB65) | v117(constB65)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12052,plain,
% 218.08/140.65 ((~(v109(constB65) <=> (v110(constB65) | v117(constB65)))) | (~(v110(constB65) | v117(constB65)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12051, 12050])).
% 218.08/140.65 tff(12053,plain,
% 218.08/140.65 (~(v110(constB65) | v117(constB65))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12052, 6251])).
% 218.08/140.65 tff(12054,plain,
% 218.08/140.65 ((v110(constB65) | v117(constB65)) | (~v117(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12055,plain,
% 218.08/140.65 (~v117(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12054, 12053])).
% 218.08/140.65 tff(12056,plain,
% 218.08/140.65 ((~(v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))))) | v117(constB65) | (v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12057,plain,
% 218.08/140.65 ((~(v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))))) | (v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12056, 12055])).
% 218.08/140.65 tff(12058,plain,
% 218.08/140.65 (v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12057, 7128])).
% 218.08/140.65 tff(12059,plain,
% 218.08/140.65 ((v108(constB65) | v119(constB65)) | (~v119(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12060,plain,
% 218.08/140.65 (~v119(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12059, 12043])).
% 218.08/140.65 tff(12061,plain,
% 218.08/140.65 ((~(v119(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))))) | v119(constB65) | (v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12062,plain,
% 218.08/140.65 ((~(v119(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))))) | (v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12061, 12060])).
% 218.08/140.65 tff(12063,plain,
% 218.08/140.65 (v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12062, 7185])).
% 218.08/140.65 tff(12064,plain,
% 218.08/140.65 ((v110(constB65) | v117(constB65)) | (~v110(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12065,plain,
% 218.08/140.65 (~v110(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12064, 12053])).
% 218.08/140.65 tff(12066,plain,
% 218.08/140.65 ((~(v110(constB65) <=> (v111(constB65) | v116(constB65)))) | v110(constB65) | (~(v111(constB65) | v116(constB65)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12067,plain,
% 218.08/140.65 ((~(v110(constB65) <=> (v111(constB65) | v116(constB65)))) | (~(v111(constB65) | v116(constB65)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12066, 12065])).
% 218.08/140.65 tff(12068,plain,
% 218.08/140.65 (~(v111(constB65) | v116(constB65))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12067, 6253])).
% 218.08/140.65 tff(12069,plain,
% 218.08/140.65 ((v111(constB65) | v116(constB65)) | (~v111(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12070,plain,
% 218.08/140.65 (~v111(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12069, 12068])).
% 218.08/140.65 tff(12071,plain,
% 218.08/140.65 ((~(v111(constB65) <=> (v112(constB65) | v115(constB65)))) | v111(constB65) | (~(v112(constB65) | v115(constB65)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12072,plain,
% 218.08/140.65 ((~(v111(constB65) <=> (v112(constB65) | v115(constB65)))) | (~(v112(constB65) | v115(constB65)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12071, 12070])).
% 218.08/140.65 tff(12073,plain,
% 218.08/140.65 (~(v112(constB65) | v115(constB65))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12072, 6255])).
% 218.08/140.65 tff(12074,plain,
% 218.08/140.65 ((v112(constB65) | v115(constB65)) | (~v112(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12075,plain,
% 218.08/140.65 (~v112(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12074, 12073])).
% 218.08/140.65 tff(12076,plain,
% 218.08/140.65 ((~(v112(constB65) <=> (v113(constB65) | v114(constB65)))) | v112(constB65) | (~(v113(constB65) | v114(constB65)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12077,plain,
% 218.08/140.65 ((~(v112(constB65) <=> (v113(constB65) | v114(constB65)))) | (~(v113(constB65) | v114(constB65)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12076, 12075])).
% 218.08/140.65 tff(12078,plain,
% 218.08/140.65 (~(v113(constB65) | v114(constB65))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12077, 6257])).
% 218.08/140.65 tff(12079,plain,
% 218.08/140.65 ((v113(constB65) | v114(constB65)) | (~v114(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12080,plain,
% 218.08/140.65 (~v114(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12079, 12078])).
% 218.08/140.65 tff(12081,plain,
% 218.08/140.65 ((~(v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))))) | v114(constB65) | (v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12082,plain,
% 218.08/140.65 ((~(v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))))) | (v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12081, 12080])).
% 218.08/140.65 tff(12083,plain,
% 218.08/140.65 (v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12082, 6259])).
% 218.08/140.65 tff(12084,plain,
% 218.08/140.65 ((v113(constB65) | v114(constB65)) | (~v113(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12085,plain,
% 218.08/140.65 (~v113(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12084, 12078])).
% 218.08/140.65 tff(12086,plain,
% 218.08/140.65 ((~(v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))))) | v113(constB65) | (v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12087,plain,
% 218.08/140.65 ((~(v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))))) | (v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12086, 12085])).
% 218.08/140.65 tff(12088,plain,
% 218.08/140.65 (v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12087, 7034])).
% 218.08/140.65 tff(12089,plain,
% 218.08/140.65 ((v111(constB65) | v116(constB65)) | (~v116(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12090,plain,
% 218.08/140.65 (~v116(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12089, 12068])).
% 218.08/140.65 tff(12091,plain,
% 218.08/140.65 ((~(v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))))) | v116(constB65) | ((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12092,plain,
% 218.08/140.65 ((~(v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))))) | ((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12091, 12090])).
% 218.08/140.65 tff(12093,plain,
% 218.08/140.65 ((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12092, 7092])).
% 218.08/140.65 tff(12094,plain,
% 218.08/140.65 ((v112(constB65) | v115(constB65)) | (~v115(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12095,plain,
% 218.08/140.65 (~v115(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12094, 12073])).
% 218.08/140.65 tff(12096,plain,
% 218.08/140.65 ((~(v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))))) | v115(constB65) | (v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12097,plain,
% 218.08/140.65 ((~(v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))))) | (v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12096, 12095])).
% 218.08/140.65 tff(12098,plain,
% 218.08/140.65 (v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12097, 7075])).
% 218.08/140.65 tff(12099,assumption,(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)), introduced(assumption)).
% 218.08/140.65 tff(12100,assumption,(~v84(constB65, 2)), introduced(assumption)).
% 218.08/140.65 tff(12101,assumption,(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))), introduced(assumption)).
% 218.08/140.65 tff(12102,assumption,(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)), introduced(assumption)).
% 218.08/140.65 tff(12103,assumption,(~v84(constB65, 1)), introduced(assumption)).
% 218.08/140.65 tff(12104,plain,
% 218.08/140.65 ((~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))) | v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12105,plain,
% 218.08/140.65 (~v84(constB65, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12104, 12103, 12100, 12101])).
% 218.08/140.65 tff(12106,plain,
% 218.08/140.65 ((~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))) | v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12107,plain,
% 218.08/140.65 ($false),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12106, 12105, 12103, 12100, 12102])).
% 218.08/140.65 tff(12108,plain,(v84(constB65, 1) | v84(constB65, 2) | (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.65 tff(12109,plain,
% 218.08/140.65 (v84(constB65, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12108, 12100, 12102, 12101])).
% 218.08/140.65 tff(12110,assumption,((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))), introduced(assumption)).
% 218.08/140.65 tff(12111,plain,
% 218.08/140.65 ((~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))) | (~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12112,plain,
% 218.08/140.65 (~v84(constB65, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12111, 12109, 12100, 12110])).
% 218.08/140.65 tff(12113,plain,
% 218.08/140.65 ((~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))) | v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12114,plain,
% 218.08/140.65 ($false),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12113, 12112, 12109, 12100, 12099])).
% 218.08/140.65 tff(12115,plain,(v84(constB65, 2) | (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))) | (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))) | (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.65 tff(12116,plain,
% 218.08/140.65 (v84(constB65, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12115, 12098, 12093, 12088, 12083])).
% 218.08/140.65 tff(12117,assumption,(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2))), introduced(assumption)).
% 218.08/140.65 tff(12118,assumption,(v84(constB65, 2)), introduced(assumption)).
% 218.08/140.65 tff(12119,assumption,(~v84(constB65, 0)), introduced(assumption)).
% 218.08/140.65 tff(12120,assumption,(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))), introduced(assumption)).
% 218.08/140.65 tff(12121,plain,
% 218.08/140.65 ((~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))) | v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12122,plain,
% 218.08/140.65 (v84(constB65, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12121, 12119, 12118, 12120])).
% 218.08/140.65 tff(12123,plain,
% 218.08/140.65 ((~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))) | v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12124,plain,
% 218.08/140.65 ($false),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12123, 12122, 12119, 12118, 12117])).
% 218.08/140.65 tff(12125,plain,(v84(constB65, 0) | (~v84(constB65, 2)) | (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))) | (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.65 tff(12126,plain,
% 218.08/140.65 (v84(constB65, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12125, 12116, 12063, 12058])).
% 218.08/140.65 tff(12127,plain,
% 218.08/140.65 ((~(v84(constB66, 0) <=> v84(constB65, 0))) | v84(constB66, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7283, 12126])).
% 218.08/140.65 tff(12128,plain,
% 218.08/140.65 (v84(constB66, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12127, 12040])).
% 218.08/140.65 tff(12129,plain,
% 218.08/140.65 ((~(v84(constB67, 0) <=> v84(constB66, 0))) | v84(constB67, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7286, 12128])).
% 218.08/140.65 tff(12130,plain,
% 218.08/140.65 (v84(constB67, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12129, 7273])).
% 218.08/140.65 tff(12131,plain,
% 218.08/140.65 (v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7342, 12130])).
% 218.08/140.65 tff(12132,plain,
% 218.08/140.65 (~v119(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7344, 12131, 5306])).
% 218.08/140.65 tff(12133,plain,
% 218.08/140.65 (v108(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7347, 12132, 7341])).
% 218.08/140.65 tff(12134,plain,
% 218.08/140.65 (v84(constB66, 2) <=> v84(constB65, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7315, 12039])).
% 218.08/140.65 tff(12135,plain,
% 218.08/140.65 ((~(v84(constB66, 2) <=> v84(constB65, 2))) | v84(constB66, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7317, 12116])).
% 218.08/140.65 tff(12136,plain,
% 218.08/140.65 (v84(constB66, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12135, 12134])).
% 218.08/140.65 tff(12137,plain,
% 218.08/140.65 ((~(v84(constB67, 2) <=> v84(constB66, 2))) | v84(constB67, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7320, 12136])).
% 218.08/140.65 tff(12138,plain,
% 218.08/140.65 (v84(constB67, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12137, 7307])).
% 218.08/140.65 tff(12139,plain,
% 218.08/140.65 ((v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))) | (~v84(constB67, 2))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12140,plain,
% 218.08/140.65 (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12139, 12138])).
% 218.08/140.65 tff(12141,plain,
% 218.08/140.65 ((~(v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))))) | (~v114(constB67))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7262, 12140])).
% 218.08/140.65 tff(12142,plain,
% 218.08/140.65 (~v114(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12141, 5415])).
% 218.08/140.65 tff(12143,plain,
% 218.08/140.65 ((v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)) | (~v84(constB67, 2))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12144,plain,
% 218.08/140.65 (v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12143, 12138])).
% 218.08/140.65 tff(12145,plain,
% 218.08/140.65 ((~(v113(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))))) | (~v113(constB67))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7291, 12144])).
% 218.08/140.65 tff(12146,plain,
% 218.08/140.65 (~v113(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12145, 5380])).
% 218.08/140.65 tff(12147,plain,
% 218.08/140.65 (~(v113(constB67) | v114(constB67))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7294, 12146, 12142])).
% 218.08/140.65 tff(12148,plain,
% 218.08/140.65 ((~(v112(constB67) <=> (v113(constB67) | v114(constB67)))) | (~v112(constB67))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7296, 12147])).
% 218.08/140.65 tff(12149,plain,
% 218.08/140.65 (~v112(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12148, 5382])).
% 218.08/140.65 tff(12150,plain,
% 218.08/140.65 (v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7323, 12138])).
% 218.08/140.65 tff(12151,plain,
% 218.08/140.65 ((~(v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))))) | (~v115(constB67))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7325, 12150])).
% 218.08/140.65 tff(12152,plain,
% 218.08/140.65 (~v115(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12151, 5457])).
% 218.08/140.65 tff(12153,plain,
% 218.08/140.65 ((~(v112(constB67) | v115(constB67))) | v112(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7328, 12152])).
% 218.08/140.65 tff(12154,plain,
% 218.08/140.65 (~(v112(constB67) | v115(constB67))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12153, 12149])).
% 218.08/140.65 tff(12155,plain,
% 218.08/140.65 (~v111(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7331, 12154, 5384])).
% 218.08/140.65 tff(12156,plain,
% 218.08/140.65 (v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7333, 12138])).
% 218.08/140.65 tff(12157,plain,
% 218.08/140.65 ((~(v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))))) | (~v116(constB67))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7335, 12156])).
% 218.08/140.65 tff(12158,plain,
% 218.08/140.65 (~v116(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12157, 5445])).
% 218.08/140.65 tff(12159,plain,
% 218.08/140.65 ((~(v111(constB67) | v116(constB67))) | v111(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7338, 12158])).
% 218.08/140.65 tff(12160,plain,
% 218.08/140.65 (~(v111(constB67) | v116(constB67))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12159, 12155])).
% 218.08/140.65 tff(12161,plain,
% 218.08/140.65 (~v110(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7370, 12160, 5386])).
% 218.08/140.65 tff(12162,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))), introduced(assumption)).
% 218.08/140.65 tff(12163,plain,
% 218.08/140.65 (v84(constB66, 2) <=> v84(constB65, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7315, 12162])).
% 218.08/140.65 tff(12164,assumption,(~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))), introduced(assumption)).
% 218.08/140.65 tff(12165,plain,
% 218.08/140.65 (v84(constB67, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[11956, 12164])).
% 218.08/140.65 tff(12166,plain,
% 218.08/140.65 ((~(v84(constB67, 2) <=> v84(constB66, 2))) | (~v84(constB67, 2)) | v84(constB66, 2)),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12167,plain,
% 218.08/140.65 ((~(v84(constB67, 2) <=> v84(constB66, 2))) | v84(constB66, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12166, 12165])).
% 218.08/140.65 tff(12168,plain,
% 218.08/140.65 (v84(constB66, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12167, 7307])).
% 218.08/140.65 tff(12169,plain,
% 218.08/140.65 ((~(v84(constB66, 2) <=> v84(constB65, 2))) | (~v84(constB66, 2)) | v84(constB65, 2)),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12170,plain,
% 218.08/140.65 ((~(v84(constB66, 2) <=> v84(constB65, 2))) | v84(constB65, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12169, 12168])).
% 218.08/140.65 tff(12171,plain,
% 218.08/140.65 (v84(constB65, 2)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12170, 12163])).
% 218.08/140.65 tff(12172,plain,
% 218.08/140.65 (v84(constB66, 0) <=> v84(constB65, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7281, 12162])).
% 218.08/140.65 tff(12173,plain,
% 218.08/140.65 (~v84(constB67, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7362, 12164])).
% 218.08/140.65 tff(12174,plain,
% 218.08/140.65 ((~(v84(constB67, 0) <=> v84(constB66, 0))) | (~v84(constB66, 0))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7286, 12173])).
% 218.08/140.65 tff(12175,plain,
% 218.08/140.65 (~v84(constB66, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12174, 7273])).
% 218.08/140.65 tff(12176,plain,
% 218.08/140.65 ((~(v84(constB66, 0) <=> v84(constB65, 0))) | (~v84(constB65, 0))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7283, 12175])).
% 218.08/140.65 tff(12177,plain,
% 218.08/140.65 (~v84(constB65, 0)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12176, 12172])).
% 218.08/140.65 tff(12178,plain,
% 218.08/140.65 (v84(constB66, 1) <=> v84(constB65, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7252, 12162])).
% 218.08/140.65 tff(12179,plain,
% 218.08/140.65 ((v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))) | (~v84(constB67, 1))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12180,plain,
% 218.08/140.65 (~v84(constB67, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12179, 12164])).
% 218.08/140.65 tff(12181,plain,
% 218.08/140.65 ((~(v84(constB67, 1) <=> v84(constB66, 1))) | (~v84(constB66, 1))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7257, 12180])).
% 218.08/140.65 tff(12182,plain,
% 218.08/140.65 (~v84(constB66, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12181, 6245])).
% 218.08/140.65 tff(12183,plain,
% 218.08/140.65 ((~(v84(constB66, 1) <=> v84(constB65, 1))) | (~v84(constB65, 1))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7254, 12182])).
% 218.08/140.65 tff(12184,plain,
% 218.08/140.65 (~v84(constB65, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12183, 12178])).
% 218.08/140.65 tff(12185,plain,
% 218.08/140.65 ($false),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12121, 12184, 12177, 12171, 12120])).
% 218.08/140.65 tff(12186,plain,((v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))) | (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B))))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.65 tff(12187,plain,
% 218.08/140.65 (v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12186, 12058, 12039])).
% 218.08/140.65 tff(12188,plain,
% 218.08/140.65 (~v117(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7365, 12187])).
% 218.08/140.65 tff(12189,plain,
% 218.08/140.65 ((~(v110(constB67) | v117(constB67))) | v110(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7367, 12188])).
% 218.08/140.65 tff(12190,plain,
% 218.08/140.65 (~(v110(constB67) | v117(constB67))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12189, 12161])).
% 218.08/140.65 tff(12191,plain,
% 218.08/140.65 (~v109(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7360, 12190, 5352])).
% 218.08/140.65 tff(12192,plain,
% 218.08/140.65 (v84(constB66, 1) <=> v84(constB65, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7252, 12039])).
% 218.08/140.65 tff(12193,plain,
% 218.08/140.65 ((v109(constB65) | v118(constB65)) | (~v118(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12194,plain,
% 218.08/140.65 (~v118(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12193, 12048])).
% 218.08/140.65 tff(12195,plain,
% 218.08/140.65 ((~(v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))) | v118(constB65) | (v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12196,plain,
% 218.08/140.65 ((~(v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))) | (v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12195, 12194])).
% 218.08/140.65 tff(12197,plain,
% 218.08/140.65 (v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12196, 7173])).
% 218.08/140.65 tff(12198,plain,
% 218.08/140.65 ((~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))) | v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12199,plain,
% 218.08/140.65 (v84(constB65, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12198, 12126, 12116, 12197])).
% 218.08/140.65 tff(12200,plain,
% 218.08/140.65 ((~(v84(constB66, 1) <=> v84(constB65, 1))) | v84(constB66, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7254, 12199])).
% 218.08/140.65 tff(12201,plain,
% 218.08/140.65 (v84(constB66, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12200, 12192])).
% 218.08/140.65 tff(12202,plain,
% 218.08/140.65 ((~(v84(constB67, 1) <=> v84(constB66, 1))) | v84(constB67, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7257, 12201])).
% 218.08/140.65 tff(12203,plain,
% 218.08/140.65 (v84(constB67, 1)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12202, 6245])).
% 218.08/140.65 tff(12204,plain,
% 218.08/140.65 (v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7352, 12203])).
% 218.08/140.65 tff(12205,plain,
% 218.08/140.65 (~v118(constB67)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7354, 12204, 5408])).
% 218.08/140.65 tff(12206,plain,
% 218.08/140.65 (~(v109(constB67) | v118(constB67))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7357, 12205, 12191])).
% 218.08/140.65 tff(12207,plain,
% 218.08/140.65 ($false),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[7349, 12206, 12133, 5354])).
% 218.08/140.65 tff(12208,plain,(v107(constB65) | (~(v108(constB67) | v119(constB67)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.65 tff(12209,plain,
% 218.08/140.65 (v107(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12208, 12030])).
% 218.08/140.65 tff(12210,plain,
% 218.08/140.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB65)) <=> v105(constB65))),
% 218.08/140.65 inference(quant_inst,[status(thm)],[])).
% 218.08/140.65 tff(12211,plain,
% 218.08/140.65 ((~v120(constB65)) <=> v105(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12210, 144])).
% 218.08/140.65 tff(12212,plain,
% 218.08/140.65 ((~((~v120(constB65)) <=> v105(constB65))) | v120(constB65) | v105(constB65)),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12213,plain,
% 218.08/140.65 ((~((~v120(constB65)) <=> v105(constB65))) | v120(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12212, 7209])).
% 218.08/140.65 tff(12214,plain,
% 218.08/140.65 (v120(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12213, 12211])).
% 218.08/140.65 tff(12215,plain,
% 218.08/140.65 ((~((~v107(constB65)) | (~v120(constB65)))) | (~v107(constB65)) | (~v120(constB65))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12216,plain,
% 218.08/140.65 ((~((~v107(constB65)) | (~v120(constB65)))) | (~v107(constB65))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12215, 12214])).
% 218.08/140.65 tff(12217,plain,
% 218.08/140.65 (~((~v107(constB65)) | (~v120(constB65)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12216, 12209])).
% 218.08/140.65 tff(12218,plain,
% 218.08/140.65 ((~(v106(constB65) <=> (~((~v107(constB65)) | (~v120(constB65)))))) | v106(constB65) | ((~v107(constB65)) | (~v120(constB65)))),
% 218.08/140.65 inference(tautology,[status(thm)],[])).
% 218.08/140.65 tff(12219,plain,
% 218.08/140.65 (v106(constB65) | ((~v107(constB65)) | (~v120(constB65)))),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12218, 7199])).
% 218.08/140.65 tff(12220,plain,
% 218.08/140.65 (v106(constB65)),
% 218.08/140.65 inference(unit_resolution,[status(thm)],[12219, 12217])).
% 218.08/140.66 tff(12221,plain,
% 218.08/140.66 ((v105(constB65) | v106(constB65)) | (~v106(constB65))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12222,plain,
% 218.08/140.66 (v105(constB65) | v106(constB65)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12221, 12220])).
% 218.08/140.66 tff(12223,plain,
% 218.08/140.66 ((~(v102(constB65) <=> (v105(constB65) | v106(constB65)))) | v102(constB65) | (~(v105(constB65) | v106(constB65)))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12224,plain,
% 218.08/140.66 (v102(constB65) | (~(v105(constB65) | v106(constB65)))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12223, 7214])).
% 218.08/140.66 tff(12225,plain,
% 218.08/140.66 (v102(constB65)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12224, 12222])).
% 218.08/140.66 tff(12226,plain,
% 218.08/140.66 ((~(v104(constB66) <=> v102(constB65))) | v104(constB66) | (~v102(constB65))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12227,plain,
% 218.08/140.66 (v104(constB66) | (~v102(constB65))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12226, 7224])).
% 218.08/140.66 tff(12228,plain,
% 218.08/140.66 (v104(constB66)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12227, 12225])).
% 218.08/140.66 tff(12229,plain,
% 218.08/140.66 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12230,plain,
% 218.08/140.66 (((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66)))))) <=> ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12231,plain,
% 218.08/140.66 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66)))))))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12230])).
% 218.08/140.66 tff(12232,plain,
% 218.08/140.66 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12231, 12229])).
% 218.08/140.66 tff(12233,plain,
% 218.08/140.66 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66))))))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12234,plain,
% 218.08/140.66 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66)))))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12233, 12232])).
% 218.08/140.66 tff(12235,plain,
% 218.08/140.66 (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12234, 7220, 37])).
% 218.08/140.66 tff(12236,plain,
% 218.08/140.66 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12237,plain,
% 218.08/140.66 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12238,plain,
% 218.08/140.66 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12237, 12236])).
% 218.08/140.66 tff(12239,plain,
% 218.08/140.66 ((~v96(constB66)) <=> v98(constB66)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12238, 7220, 54])).
% 218.08/140.66 tff(12240,plain,
% 218.08/140.66 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12241,plain,
% 218.08/140.66 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12242,plain,
% 218.08/140.66 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12241, 12240])).
% 218.08/140.66 tff(12243,plain,
% 218.08/140.66 (v98(constB66) <=> v1(constB65)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12242, 7220, 68])).
% 218.08/140.66 tff(12244,plain,
% 218.08/140.66 ((~(v98(constB66) <=> v1(constB65))) | (~v98(constB66)) | v1(constB65)),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12245,plain,
% 218.08/140.66 ((~(v98(constB66) <=> v1(constB65))) | (~v98(constB66))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12244, 6276])).
% 218.08/140.66 tff(12246,plain,
% 218.08/140.66 (~v98(constB66)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12245, 12243])).
% 218.08/140.66 tff(12247,plain,
% 218.08/140.66 ((~((~v96(constB66)) <=> v98(constB66))) | v96(constB66) | v98(constB66)),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12248,plain,
% 218.08/140.66 (v96(constB66)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12247, 12246, 12239])).
% 218.08/140.66 tff(12249,plain,
% 218.08/140.66 (v1(constB66) <=> v1(constB66)),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12250,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66')).
% 218.08/140.66 tff(12251,plain,
% 218.08/140.66 (v1(constB66)),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12250, 12249])).
% 218.08/140.66 tff(12252,plain,
% 218.08/140.66 ((~((~v1(constB66)) | (~v96(constB66)))) | (~v1(constB66)) | (~v96(constB66))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12253,plain,
% 218.08/140.66 ((~((~v1(constB66)) | (~v96(constB66)))) | (~v96(constB66))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12252, 12251])).
% 218.08/140.66 tff(12254,plain,
% 218.08/140.66 (~((~v1(constB66)) | (~v96(constB66)))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12253, 12248])).
% 218.08/140.66 tff(12255,plain,
% 218.08/140.66 ((~(v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66)))))) | v95(constB66) | ((~v1(constB66)) | (~v96(constB66)))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12256,plain,
% 218.08/140.66 (v95(constB66)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12255, 12254, 12235])).
% 218.08/140.66 tff(12257,plain,
% 218.08/140.66 ((~((~v95(constB66)) | (~v104(constB66)))) | (~v95(constB66)) | (~v104(constB66))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12258,plain,
% 218.08/140.66 ((~((~v95(constB66)) | (~v104(constB66)))) | (~v104(constB66))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12257, 12256])).
% 218.08/140.66 tff(12259,plain,
% 218.08/140.66 (~((~v95(constB66)) | (~v104(constB66)))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12258, 12228])).
% 218.08/140.66 tff(12260,plain,
% 218.08/140.66 ((~(v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66)))))) | v94(constB66) | ((~v95(constB66)) | (~v104(constB66)))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12261,plain,
% 218.08/140.66 (v94(constB66) | ((~v95(constB66)) | (~v104(constB66)))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12260, 7233])).
% 218.08/140.66 tff(12262,plain,
% 218.08/140.66 (v94(constB66)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12261, 12259])).
% 218.08/140.66 tff(12263,plain,
% 218.08/140.66 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B))))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12264,plain,
% 218.08/140.66 (((~v94(constB66)) | ![B: $int] : ((v84(constB66, B) <=> v123(constB66, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B))))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12265,plain,
% 218.08/140.66 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB66)) | ![B: $int] : ((v84(constB66, B) <=> v123(constB66, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12264])).
% 218.08/140.66 tff(12266,plain,
% 218.08/140.66 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB66)) | ![B: $int] : ((v84(constB66, B) <=> v123(constB66, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B))))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12265, 12263])).
% 218.08/140.66 tff(12267,plain,
% 218.08/140.66 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB66)) | ![B: $int] : ((v84(constB66, B) <=> v123(constB66, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12268,plain,
% 218.08/140.66 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12267, 12266])).
% 218.08/140.66 tff(12269,plain,
% 218.08/140.66 ((~v94(constB66)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12268, 1491])).
% 218.08/140.66 tff(12270,plain,
% 218.08/140.66 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12269, 12262])).
% 218.08/140.66 tff(12271,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 2) <=> v123(constB66, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 2) <=> v123(constB66, 2)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12272,plain,
% 218.08/140.66 (($false | $false | (v84(constB66, 2) <=> v123(constB66, 2))) <=> (v84(constB66, 2) <=> v123(constB66, 2))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12273,plain,
% 218.08/140.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB66, 2) <=> v123(constB66, 2))) <=> ($false | $false | (v84(constB66, 2) <=> v123(constB66, 2)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.66 tff(12274,plain,
% 218.08/140.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB66, 2) <=> v123(constB66, 2))) <=> (v84(constB66, 2) <=> v123(constB66, 2))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12273, 12272])).
% 218.08/140.66 tff(12275,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB66, 2) <=> v123(constB66, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 2) <=> v123(constB66, 2)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12274])).
% 218.08/140.66 tff(12276,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB66, 2) <=> v123(constB66, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 2) <=> v123(constB66, 2)))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12275, 12271])).
% 218.08/140.66 tff(12277,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB66, 2) <=> v123(constB66, 2)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12278,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 2) <=> v123(constB66, 2))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12277, 12276])).
% 218.08/140.66 tff(12279,plain,
% 218.08/140.66 (v84(constB66, 2) <=> v123(constB66, 2)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12278, 12270])).
% 218.08/140.66 tff(12280,plain,
% 218.08/140.66 ((~(v84(constB67, 2) <=> v84(constB66, 2))) | (~v84(constB66, 2))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[7320, 5465])).
% 218.08/140.66 tff(12281,plain,
% 218.08/140.66 (~v84(constB66, 2)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12280, 7307])).
% 218.08/140.66 tff(12282,plain,
% 218.08/140.66 ((~(v84(constB66, 2) <=> v123(constB66, 2))) | v84(constB66, 2) | (~v123(constB66, 2))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12283,plain,
% 218.08/140.66 ((~(v84(constB66, 2) <=> v123(constB66, 2))) | (~v123(constB66, 2))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12282, 12281])).
% 218.08/140.66 tff(12284,plain,
% 218.08/140.66 (~v123(constB66, 2)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12283, 12279])).
% 218.08/140.66 tff(12285,plain,
% 218.08/140.66 ((~(v123(constB66, 2) <=> v121(constB65, 2))) | v123(constB66, 2) | (~v121(constB65, 2))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12286,plain,
% 218.08/140.66 ((~(v123(constB66, 2) <=> v121(constB65, 2))) | (~v121(constB65, 2))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12285, 12284])).
% 218.08/140.66 tff(12287,plain,
% 218.08/140.66 (~v121(constB65, 2)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12286, 12017])).
% 218.08/140.66 tff(12288,plain,
% 218.08/140.66 ((~(v121(constB65, 2) <=> v124(constB65, 2))) | v121(constB65, 2) | (~v124(constB65, 2))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12289,plain,
% 218.08/140.66 ((~(v121(constB65, 2) <=> v124(constB65, 2))) | (~v124(constB65, 2))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12288, 12287])).
% 218.08/140.66 tff(12290,plain,
% 218.08/140.66 (~v124(constB65, 2)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12289, 12001])).
% 218.08/140.66 tff(12291,plain,
% 218.08/140.66 ((~(v124(constB65, 2) <=> b100(2))) | v124(constB65, 2) | (~b100(2))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12292,plain,
% 218.08/140.66 (~(v124(constB65, 2) <=> b100(2))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12291, 2250, 12290])).
% 218.08/140.66 tff(12293,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 1) <=> v124(constB65, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 1) <=> v124(constB65, 1)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12294,plain,
% 218.08/140.66 (($false | $false | (v121(constB65, 1) <=> v124(constB65, 1))) <=> (v121(constB65, 1) <=> v124(constB65, 1))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12295,plain,
% 218.08/140.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB65, 1) <=> v124(constB65, 1))) <=> ($false | $false | (v121(constB65, 1) <=> v124(constB65, 1)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.66 tff(12296,plain,
% 218.08/140.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB65, 1) <=> v124(constB65, 1))) <=> (v121(constB65, 1) <=> v124(constB65, 1))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12295, 12294])).
% 218.08/140.66 tff(12297,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB65, 1) <=> v124(constB65, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 1) <=> v124(constB65, 1)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12296])).
% 218.08/140.66 tff(12298,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB65, 1) <=> v124(constB65, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 1) <=> v124(constB65, 1)))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12297, 12293])).
% 218.08/140.66 tff(12299,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB65, 1) <=> v124(constB65, 1)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12300,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 1) <=> v124(constB65, 1))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12299, 12298])).
% 218.08/140.66 tff(12301,plain,
% 218.08/140.66 (v121(constB65, 1) <=> v124(constB65, 1)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12300, 11992])).
% 218.08/140.66 tff(12302,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 1) <=> v121(constB65, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 1) <=> v121(constB65, 1)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12303,plain,
% 218.08/140.66 (($false | $false | (v123(constB66, 1) <=> v121(constB65, 1))) <=> (v123(constB66, 1) <=> v121(constB65, 1))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12304,plain,
% 218.08/140.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB66, 1) <=> v121(constB65, 1))) <=> ($false | $false | (v123(constB66, 1) <=> v121(constB65, 1)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.66 tff(12305,plain,
% 218.08/140.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB66, 1) <=> v121(constB65, 1))) <=> (v123(constB66, 1) <=> v121(constB65, 1))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12304, 12303])).
% 218.08/140.66 tff(12306,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB66, 1) <=> v121(constB65, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 1) <=> v121(constB65, 1)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12305])).
% 218.08/140.66 tff(12307,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB66, 1) <=> v121(constB65, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 1) <=> v121(constB65, 1)))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12306, 12302])).
% 218.08/140.66 tff(12308,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB66, 1) <=> v121(constB65, 1)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12309,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 1) <=> v121(constB65, 1))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12308, 12307])).
% 218.08/140.66 tff(12310,plain,
% 218.08/140.66 (v123(constB66, 1) <=> v121(constB65, 1)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12309, 12008])).
% 218.08/140.66 tff(12311,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 1) <=> v123(constB66, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 1) <=> v123(constB66, 1)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12312,plain,
% 218.08/140.66 (($false | $false | (v84(constB66, 1) <=> v123(constB66, 1))) <=> (v84(constB66, 1) <=> v123(constB66, 1))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12313,plain,
% 218.08/140.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB66, 1) <=> v123(constB66, 1))) <=> ($false | $false | (v84(constB66, 1) <=> v123(constB66, 1)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.66 tff(12314,plain,
% 218.08/140.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB66, 1) <=> v123(constB66, 1))) <=> (v84(constB66, 1) <=> v123(constB66, 1))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12313, 12312])).
% 218.08/140.66 tff(12315,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB66, 1) <=> v123(constB66, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 1) <=> v123(constB66, 1)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12314])).
% 218.08/140.66 tff(12316,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB66, 1) <=> v123(constB66, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 1) <=> v123(constB66, 1)))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12315, 12311])).
% 218.08/140.66 tff(12317,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB66, 1) <=> v123(constB66, 1)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12318,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 1) <=> v123(constB66, 1))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12317, 12316])).
% 218.08/140.66 tff(12319,plain,
% 218.08/140.66 (v84(constB66, 1) <=> v123(constB66, 1)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12318, 12270])).
% 218.08/140.66 tff(12320,plain,
% 218.08/140.66 ((~(v84(constB67, 1) <=> v84(constB66, 1))) | (~v84(constB66, 1))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[7257, 5422])).
% 218.08/140.66 tff(12321,plain,
% 218.08/140.66 (~v84(constB66, 1)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12320, 6245])).
% 218.08/140.66 tff(12322,plain,
% 218.08/140.66 ((~(v84(constB66, 1) <=> v123(constB66, 1))) | v84(constB66, 1) | (~v123(constB66, 1))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12323,plain,
% 218.08/140.66 ((~(v84(constB66, 1) <=> v123(constB66, 1))) | (~v123(constB66, 1))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12322, 12321])).
% 218.08/140.66 tff(12324,plain,
% 218.08/140.66 (~v123(constB66, 1)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12323, 12319])).
% 218.08/140.66 tff(12325,plain,
% 218.08/140.66 ((~(v123(constB66, 1) <=> v121(constB65, 1))) | v123(constB66, 1) | (~v121(constB65, 1))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12326,plain,
% 218.08/140.66 ((~(v123(constB66, 1) <=> v121(constB65, 1))) | (~v121(constB65, 1))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12325, 12324])).
% 218.08/140.66 tff(12327,plain,
% 218.08/140.66 (~v121(constB65, 1)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12326, 12310])).
% 218.08/140.66 tff(12328,plain,
% 218.08/140.66 ((~(v121(constB65, 1) <=> v124(constB65, 1))) | v121(constB65, 1) | (~v124(constB65, 1))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12329,plain,
% 218.08/140.66 ((~(v121(constB65, 1) <=> v124(constB65, 1))) | (~v124(constB65, 1))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12328, 12327])).
% 218.08/140.66 tff(12330,plain,
% 218.08/140.66 (~v124(constB65, 1)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12329, 12301])).
% 218.08/140.66 tff(12331,assumption,(~v124(constB65, 1)), introduced(assumption)).
% 218.08/140.66 tff(12332,plain,
% 218.08/140.66 ((~(v124(constB65, 1) <=> b010(1))) | v124(constB65, 1) | (~b010(1))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12333,plain,
% 218.08/140.66 (~(v124(constB65, 1) <=> b010(1))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12332, 2513, 12331])).
% 218.08/140.66 tff(12334,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))), introduced(assumption)).
% 218.08/140.66 tff(12335,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 1) <=> b010(1)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12336,plain,
% 218.08/140.66 (($false | $false | (v124(constB65, 1) <=> b010(1))) <=> (v124(constB65, 1) <=> b010(1))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12337,plain,
% 218.08/140.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b010(1))) <=> ($false | $false | (v124(constB65, 1) <=> b010(1)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.66 tff(12338,plain,
% 218.08/140.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b010(1))) <=> (v124(constB65, 1) <=> b010(1))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12337, 12336])).
% 218.08/140.66 tff(12339,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 1) <=> b010(1)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12338])).
% 218.08/140.66 tff(12340,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 1) <=> b010(1)))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12339, 12335])).
% 218.08/140.66 tff(12341,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b010(1)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12342,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 1) <=> b010(1))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12341, 12340])).
% 218.08/140.66 tff(12343,plain,
% 218.08/140.66 ($false),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12342, 12334, 12333])).
% 218.08/140.66 tff(12344,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | v124(constB65, 1)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.66 tff(12345,plain,
% 218.08/140.66 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12344, 12330])).
% 218.08/140.66 tff(12346,plain,
% 218.08/140.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B))))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12347,plain,
% 218.08/140.66 (((~v114(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B))))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12348,plain,
% 218.08/140.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12347])).
% 218.08/140.66 tff(12349,plain,
% 218.08/140.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B))))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12348, 12346])).
% 218.08/140.66 tff(12350,plain,
% 218.08/140.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12351,plain,
% 218.08/140.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12350, 12349])).
% 218.08/140.66 tff(12352,plain,
% 218.08/140.66 ((~v114(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12351, 2418])).
% 218.08/140.66 tff(12353,plain,
% 218.08/140.66 (~v114(constB65)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12352, 12345])).
% 218.08/140.66 tff(12354,assumption,(~v124(constB65, 2)), introduced(assumption)).
% 218.08/140.66 tff(12355,plain,
% 218.08/140.66 ((~(v124(constB65, 2) <=> b110(2))) | v124(constB65, 2) | (~b110(2))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12356,plain,
% 218.08/140.66 (~(v124(constB65, 2) <=> b110(2))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12355, 1598, 12354])).
% 218.08/140.66 tff(12357,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))), introduced(assumption)).
% 218.08/140.66 tff(12358,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))) | (v124(constB65, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))) | (v124(constB65, 2) <=> b110(2)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12359,plain,
% 218.08/140.66 (($false | $false | (v124(constB65, 2) <=> b110(2))) <=> (v124(constB65, 2) <=> b110(2))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12360,plain,
% 218.08/140.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b110(2))) <=> ($false | $false | (v124(constB65, 2) <=> b110(2)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.66 tff(12361,plain,
% 218.08/140.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b110(2))) <=> (v124(constB65, 2) <=> b110(2))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12360, 12359])).
% 218.08/140.66 tff(12362,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))) | (v124(constB65, 2) <=> b110(2)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12361])).
% 218.08/140.66 tff(12363,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))) | (v124(constB65, 2) <=> b110(2)))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12362, 12358])).
% 218.08/140.66 tff(12364,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b110(2)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12365,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))) | (v124(constB65, 2) <=> b110(2))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12364, 12363])).
% 218.08/140.66 tff(12366,plain,
% 218.08/140.66 ($false),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12365, 12357, 12356])).
% 218.08/140.66 tff(12367,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))) | v124(constB65, 2)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.66 tff(12368,plain,
% 218.08/140.66 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12367, 12290])).
% 218.08/140.66 tff(12369,plain,
% 218.08/140.66 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B))))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12370,plain,
% 218.08/140.66 (((~v118(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B))))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12371,plain,
% 218.08/140.66 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12370])).
% 218.08/140.66 tff(12372,plain,
% 218.08/140.66 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B))))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12371, 12369])).
% 218.08/140.66 tff(12373,plain,
% 218.08/140.66 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12374,plain,
% 218.08/140.66 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12373, 12372])).
% 218.08/140.66 tff(12375,plain,
% 218.08/140.66 ((~v118(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b110(B)))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12374, 1977])).
% 218.08/140.66 tff(12376,plain,
% 218.08/140.66 (~v118(constB65)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12375, 12368])).
% 218.08/140.66 tff(12377,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 0) <=> v124(constB65, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 0) <=> v124(constB65, 0)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12378,plain,
% 218.08/140.66 (($false | $false | (v121(constB65, 0) <=> v124(constB65, 0))) <=> (v121(constB65, 0) <=> v124(constB65, 0))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12379,plain,
% 218.08/140.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB65, 0) <=> v124(constB65, 0))) <=> ($false | $false | (v121(constB65, 0) <=> v124(constB65, 0)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.66 tff(12380,plain,
% 218.08/140.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB65, 0) <=> v124(constB65, 0))) <=> (v121(constB65, 0) <=> v124(constB65, 0))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12379, 12378])).
% 218.08/140.66 tff(12381,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB65, 0) <=> v124(constB65, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 0) <=> v124(constB65, 0)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12380])).
% 218.08/140.66 tff(12382,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB65, 0) <=> v124(constB65, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 0) <=> v124(constB65, 0)))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12381, 12377])).
% 218.08/140.66 tff(12383,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB65, 0) <=> v124(constB65, 0)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12384,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB65, B) <=> v124(constB65, B)))) | (v121(constB65, 0) <=> v124(constB65, 0))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12383, 12382])).
% 218.08/140.66 tff(12385,plain,
% 218.08/140.66 (v121(constB65, 0) <=> v124(constB65, 0)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12384, 11992])).
% 218.08/140.66 tff(12386,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 0) <=> v121(constB65, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 0) <=> v121(constB65, 0)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12387,plain,
% 218.08/140.66 (($false | $false | (v123(constB66, 0) <=> v121(constB65, 0))) <=> (v123(constB66, 0) <=> v121(constB65, 0))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12388,plain,
% 218.08/140.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB66, 0) <=> v121(constB65, 0))) <=> ($false | $false | (v123(constB66, 0) <=> v121(constB65, 0)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.66 tff(12389,plain,
% 218.08/140.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB66, 0) <=> v121(constB65, 0))) <=> (v123(constB66, 0) <=> v121(constB65, 0))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12388, 12387])).
% 218.08/140.66 tff(12390,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB66, 0) <=> v121(constB65, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 0) <=> v121(constB65, 0)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12389])).
% 218.08/140.66 tff(12391,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB66, 0) <=> v121(constB65, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 0) <=> v121(constB65, 0)))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12390, 12386])).
% 218.08/140.66 tff(12392,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB66, 0) <=> v121(constB65, 0)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12393,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB66, B) <=> v121(constB65, B)))) | (v123(constB66, 0) <=> v121(constB65, 0))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12392, 12391])).
% 218.08/140.66 tff(12394,plain,
% 218.08/140.66 (v123(constB66, 0) <=> v121(constB65, 0)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12393, 12008])).
% 218.08/140.66 tff(12395,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 0) <=> v123(constB66, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 0) <=> v123(constB66, 0)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12396,plain,
% 218.08/140.66 (($false | $false | (v84(constB66, 0) <=> v123(constB66, 0))) <=> (v84(constB66, 0) <=> v123(constB66, 0))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12397,plain,
% 218.08/140.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB66, 0) <=> v123(constB66, 0))) <=> ($false | $false | (v84(constB66, 0) <=> v123(constB66, 0)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.66 tff(12398,plain,
% 218.08/140.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB66, 0) <=> v123(constB66, 0))) <=> (v84(constB66, 0) <=> v123(constB66, 0))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12397, 12396])).
% 218.08/140.66 tff(12399,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB66, 0) <=> v123(constB66, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 0) <=> v123(constB66, 0)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12398])).
% 218.08/140.66 tff(12400,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB66, 0) <=> v123(constB66, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 0) <=> v123(constB66, 0)))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12399, 12395])).
% 218.08/140.66 tff(12401,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB66, 0) <=> v123(constB66, 0)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12402,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))) | (v84(constB66, 0) <=> v123(constB66, 0))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12401, 12400])).
% 218.08/140.66 tff(12403,plain,
% 218.08/140.66 (v84(constB66, 0) <=> v123(constB66, 0)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12402, 12270])).
% 218.08/140.66 tff(12404,plain,
% 218.08/140.66 ((~(v84(constB67, 0) <=> v84(constB66, 0))) | (~v84(constB66, 0))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[7286, 5425])).
% 218.08/140.66 tff(12405,plain,
% 218.08/140.66 (~v84(constB66, 0)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12404, 7273])).
% 218.08/140.66 tff(12406,plain,
% 218.08/140.66 ((~(v84(constB66, 0) <=> v123(constB66, 0))) | v84(constB66, 0) | (~v123(constB66, 0))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12407,plain,
% 218.08/140.66 ((~(v84(constB66, 0) <=> v123(constB66, 0))) | (~v123(constB66, 0))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12406, 12405])).
% 218.08/140.66 tff(12408,plain,
% 218.08/140.66 (~v123(constB66, 0)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12407, 12403])).
% 218.08/140.66 tff(12409,plain,
% 218.08/140.66 ((~(v123(constB66, 0) <=> v121(constB65, 0))) | v123(constB66, 0) | (~v121(constB65, 0))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12410,plain,
% 218.08/140.66 ((~(v123(constB66, 0) <=> v121(constB65, 0))) | (~v121(constB65, 0))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12409, 12408])).
% 218.08/140.66 tff(12411,plain,
% 218.08/140.66 (~v121(constB65, 0)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12410, 12394])).
% 218.08/140.66 tff(12412,plain,
% 218.08/140.66 ((~(v121(constB65, 0) <=> v124(constB65, 0))) | v121(constB65, 0) | (~v124(constB65, 0))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12413,plain,
% 218.08/140.66 ((~(v121(constB65, 0) <=> v124(constB65, 0))) | (~v124(constB65, 0))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12412, 12411])).
% 218.08/140.66 tff(12414,plain,
% 218.08/140.66 (~v124(constB65, 0)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12413, 12385])).
% 218.08/140.66 tff(12415,assumption,(~v124(constB65, 0)), introduced(assumption)).
% 218.08/140.66 tff(12416,plain,
% 218.08/140.66 ((~(v124(constB65, 0) <=> b011(0))) | v124(constB65, 0) | (~b011(0))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12417,plain,
% 218.08/140.66 (~(v124(constB65, 0) <=> b011(0))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12416, 2025, 12415])).
% 218.08/140.66 tff(12418,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))), introduced(assumption)).
% 218.08/140.66 tff(12419,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | (v124(constB65, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | (v124(constB65, 0) <=> b011(0)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12420,plain,
% 218.08/140.66 (($false | $false | (v124(constB65, 0) <=> b011(0))) <=> (v124(constB65, 0) <=> b011(0))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12421,plain,
% 218.08/140.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b011(0))) <=> ($false | $false | (v124(constB65, 0) <=> b011(0)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.66 tff(12422,plain,
% 218.08/140.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b011(0))) <=> (v124(constB65, 0) <=> b011(0))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12421, 12420])).
% 218.08/140.66 tff(12423,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | (v124(constB65, 0) <=> b011(0)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12422])).
% 218.08/140.66 tff(12424,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | (v124(constB65, 0) <=> b011(0)))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12423, 12419])).
% 218.08/140.66 tff(12425,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b011(0)))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12426,plain,
% 218.08/140.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | (v124(constB65, 0) <=> b011(0))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12425, 12424])).
% 218.08/140.66 tff(12427,plain,
% 218.08/140.66 ($false),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12426, 12418, 12417])).
% 218.08/140.66 tff(12428,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | v124(constB65, 0)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.66 tff(12429,plain,
% 218.08/140.66 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12428, 12414])).
% 218.08/140.66 tff(12430,assumption,(v115(constB65)), introduced(assumption)).
% 218.08/140.66 tff(12431,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))), introduced(assumption)).
% 218.08/140.66 tff(12432,plain,
% 218.08/140.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B))))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12433,plain,
% 218.08/140.66 (((~v115(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B))))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12434,plain,
% 218.08/140.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12433])).
% 218.08/140.66 tff(12435,plain,
% 218.08/140.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B))))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12434, 12432])).
% 218.08/140.66 tff(12436,plain,
% 218.08/140.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.66 inference(quant_inst,[status(thm)],[])).
% 218.08/140.66 tff(12437,plain,
% 218.08/140.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))),
% 218.08/140.66 inference(modus_ponens,[status(thm)],[12436, 12435])).
% 218.08/140.66 tff(12438,plain,
% 218.08/140.66 ($false),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12437, 2144, 12431, 12430])).
% 218.08/140.66 tff(12439,plain,((~v115(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.66 tff(12440,plain,
% 218.08/140.66 (~v115(constB65)),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12439, 12429])).
% 218.08/140.66 tff(12441,plain,
% 218.08/140.66 ((~(v124(constB65, 0) <=> b101(0))) | v124(constB65, 0) | (~b101(0))),
% 218.08/140.66 inference(tautology,[status(thm)],[])).
% 218.08/140.66 tff(12442,plain,
% 218.08/140.66 (~(v124(constB65, 0) <=> b101(0))),
% 218.08/140.66 inference(unit_resolution,[status(thm)],[12441, 2042, 12415])).
% 218.08/140.66 tff(12443,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))), introduced(assumption)).
% 218.08/140.66 tff(12444,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 0) <=> b101(0)))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12445,plain,
% 218.08/140.66 (($false | $false | (v124(constB65, 0) <=> b101(0))) <=> (v124(constB65, 0) <=> b101(0))),
% 218.08/140.66 inference(rewrite,[status(thm)],[])).
% 218.08/140.66 tff(12446,plain,
% 218.08/140.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b101(0))) <=> ($false | $false | (v124(constB65, 0) <=> b101(0)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.66 tff(12447,plain,
% 218.08/140.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b101(0))) <=> (v124(constB65, 0) <=> b101(0))),
% 218.08/140.66 inference(transitivity,[status(thm)],[12446, 12445])).
% 218.08/140.66 tff(12448,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 0) <=> b101(0)))),
% 218.08/140.66 inference(monotonicity,[status(thm)],[12447])).
% 218.08/140.66 tff(12449,plain,
% 218.08/140.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 0) <=> b101(0)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12448, 12444])).
% 218.08/140.67 tff(12450,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b101(0)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12451,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 0) <=> b101(0))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12450, 12449])).
% 218.08/140.67 tff(12452,plain,
% 218.08/140.67 ($false),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12451, 12443, 12442])).
% 218.08/140.67 tff(12453,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | v124(constB65, 0)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.67 tff(12454,plain,
% 218.08/140.67 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12453, 12414])).
% 218.08/140.67 tff(12455,assumption,(v117(constB65)), introduced(assumption)).
% 218.08/140.67 tff(12456,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))), introduced(assumption)).
% 218.08/140.67 tff(12457,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B))))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12458,plain,
% 218.08/140.67 (((~v117(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B))))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12459,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12458])).
% 218.08/140.67 tff(12460,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B))))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12459, 12457])).
% 218.08/140.67 tff(12461,plain,
% 218.08/140.67 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12462,plain,
% 218.08/140.67 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12461, 12460])).
% 218.08/140.67 tff(12463,plain,
% 218.08/140.67 ($false),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12462, 2090, 12456, 12455])).
% 218.08/140.67 tff(12464,plain,((~v117(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.67 tff(12465,plain,
% 218.08/140.67 (~v117(constB65)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12464, 12454])).
% 218.08/140.67 tff(12466,assumption,(~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))), introduced(assumption)).
% 218.08/140.67 tff(12467,plain,
% 218.08/140.67 ((v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)) | (~v84(constB65, 2))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12468,plain,
% 218.08/140.67 (~v84(constB65, 2)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12467, 12466])).
% 218.08/140.67 tff(12469,plain,
% 218.08/140.67 ((~(v84(constB65, 2) <=> v84(constB64, 2))) | (~v84(constB64, 2))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[7114, 12468])).
% 218.08/140.67 tff(12470,plain,
% 218.08/140.67 (~v84(constB64, 2)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12469, 7101])).
% 218.08/140.67 tff(12471,plain,
% 218.08/140.67 ((v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)) | (~v84(constB65, 1))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12472,plain,
% 218.08/140.67 (~v84(constB65, 1)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12471, 12466])).
% 218.08/140.67 tff(12473,plain,
% 218.08/140.67 ((~(v84(constB65, 1) <=> v84(constB64, 1))) | (~v84(constB64, 1))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[7025, 12472])).
% 218.08/140.67 tff(12474,plain,
% 218.08/140.67 (~v84(constB64, 1)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12473, 6302])).
% 218.08/140.67 tff(12475,plain,
% 218.08/140.67 (~v84(constB65, 0)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[7059, 12466])).
% 218.08/140.67 tff(12476,plain,
% 218.08/140.67 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | (~v84(constB64, 0))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[7056, 12475])).
% 218.08/140.67 tff(12477,plain,
% 218.08/140.67 (~v84(constB64, 0)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12476, 7043])).
% 218.08/140.67 tff(12478,assumption,(~v84(constB64, 2)), introduced(assumption)).
% 218.08/140.67 tff(12479,assumption,(~v84(constB64, 0)), introduced(assumption)).
% 218.08/140.67 tff(12480,assumption,(~v84(constB64, 1)), introduced(assumption)).
% 218.08/140.67 tff(12481,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B))))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12482,plain,
% 218.08/140.67 ((v105(constB63) | ![B: $int] : ((v121(constB63, B) <=> v124(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B))))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12483,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB63) | ![B: $int] : ((v121(constB63, B) <=> v124(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12482])).
% 218.08/140.67 tff(12484,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB63) | ![B: $int] : ((v121(constB63, B) <=> v124(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B))))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12483, 12481])).
% 218.08/140.67 tff(12485,plain,
% 218.08/140.67 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB63) | ![B: $int] : ((v121(constB63, B) <=> v124(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12486,plain,
% 218.08/140.67 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12485, 12484])).
% 218.08/140.67 tff(12487,plain,
% 218.08/140.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12486, 1562, 6977])).
% 218.08/140.67 tff(12488,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 2) <=> v124(constB63, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 2) <=> v124(constB63, 2)))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12489,plain,
% 218.08/140.67 (($false | $false | (v121(constB63, 2) <=> v124(constB63, 2))) <=> (v121(constB63, 2) <=> v124(constB63, 2))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12490,plain,
% 218.08/140.67 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB63, 2) <=> v124(constB63, 2))) <=> ($false | $false | (v121(constB63, 2) <=> v124(constB63, 2)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.67 tff(12491,plain,
% 218.08/140.67 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB63, 2) <=> v124(constB63, 2))) <=> (v121(constB63, 2) <=> v124(constB63, 2))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12490, 12489])).
% 218.08/140.67 tff(12492,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB63, 2) <=> v124(constB63, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 2) <=> v124(constB63, 2)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12491])).
% 218.08/140.67 tff(12493,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB63, 2) <=> v124(constB63, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 2) <=> v124(constB63, 2)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12492, 12488])).
% 218.08/140.67 tff(12494,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB63, 2) <=> v124(constB63, 2)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12495,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 2) <=> v124(constB63, 2))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12494, 12493])).
% 218.08/140.67 tff(12496,plain,
% 218.08/140.67 (v121(constB63, 2) <=> v124(constB63, 2)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12495, 12487])).
% 218.08/140.67 tff(12497,plain,
% 218.08/140.67 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B))))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12498,plain,
% 218.08/140.67 (((~nextState(constB63, constB64)) | ![B: $int] : ((v123(constB64, B) <=> v121(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B))))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12499,plain,
% 218.08/140.67 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB63, constB64)) | ![B: $int] : ((v123(constB64, B) <=> v121(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12498])).
% 218.08/140.67 tff(12500,plain,
% 218.08/140.67 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB63, constB64)) | ![B: $int] : ((v123(constB64, B) <=> v121(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B))))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12499, 12497])).
% 218.08/140.67 tff(12501,plain,
% 218.08/140.67 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB63, constB64)) | ![B: $int] : ((v123(constB64, B) <=> v121(constB63, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12502,plain,
% 218.08/140.67 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB63, constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12501, 12500])).
% 218.08/140.67 tff(12503,plain,
% 218.08/140.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12502, 6988, 1527])).
% 218.08/140.67 tff(12504,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 2) <=> v121(constB63, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 2) <=> v121(constB63, 2)))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12505,plain,
% 218.08/140.67 (($false | $false | (v123(constB64, 2) <=> v121(constB63, 2))) <=> (v123(constB64, 2) <=> v121(constB63, 2))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12506,plain,
% 218.08/140.67 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB64, 2) <=> v121(constB63, 2))) <=> ($false | $false | (v123(constB64, 2) <=> v121(constB63, 2)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.67 tff(12507,plain,
% 218.08/140.67 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB64, 2) <=> v121(constB63, 2))) <=> (v123(constB64, 2) <=> v121(constB63, 2))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12506, 12505])).
% 218.08/140.67 tff(12508,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB64, 2) <=> v121(constB63, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 2) <=> v121(constB63, 2)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12507])).
% 218.08/140.67 tff(12509,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB64, 2) <=> v121(constB63, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 2) <=> v121(constB63, 2)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12508, 12504])).
% 218.08/140.67 tff(12510,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB64, 2) <=> v121(constB63, 2)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12511,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 2) <=> v121(constB63, 2))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12510, 12509])).
% 218.08/140.67 tff(12512,plain,
% 218.08/140.67 (v123(constB64, 2) <=> v121(constB63, 2)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12511, 12503])).
% 218.08/140.67 tff(12513,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))), introduced(assumption)).
% 218.08/140.67 tff(12514,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 2) <=> v123(constB64, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 2) <=> v123(constB64, 2)))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12515,plain,
% 218.08/140.67 (($false | $false | (v84(constB64, 2) <=> v123(constB64, 2))) <=> (v84(constB64, 2) <=> v123(constB64, 2))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12516,plain,
% 218.08/140.67 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB64, 2) <=> v123(constB64, 2))) <=> ($false | $false | (v84(constB64, 2) <=> v123(constB64, 2)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.67 tff(12517,plain,
% 218.08/140.67 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB64, 2) <=> v123(constB64, 2))) <=> (v84(constB64, 2) <=> v123(constB64, 2))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12516, 12515])).
% 218.08/140.67 tff(12518,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB64, 2) <=> v123(constB64, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 2) <=> v123(constB64, 2)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12517])).
% 218.08/140.67 tff(12519,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB64, 2) <=> v123(constB64, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 2) <=> v123(constB64, 2)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12518, 12514])).
% 218.08/140.67 tff(12520,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB64, 2) <=> v123(constB64, 2)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12521,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 2) <=> v123(constB64, 2))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12520, 12519])).
% 218.08/140.67 tff(12522,plain,
% 218.08/140.67 (v84(constB64, 2) <=> v123(constB64, 2)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12521, 12513])).
% 218.08/140.67 tff(12523,plain,
% 218.08/140.67 ((~(v84(constB64, 2) <=> v123(constB64, 2))) | v84(constB64, 2) | (~v123(constB64, 2))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12524,plain,
% 218.08/140.67 ((~(v84(constB64, 2) <=> v123(constB64, 2))) | (~v123(constB64, 2))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12523, 12478])).
% 218.08/140.67 tff(12525,plain,
% 218.08/140.67 (~v123(constB64, 2)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12524, 12522])).
% 218.08/140.67 tff(12526,plain,
% 218.08/140.67 ((~(v123(constB64, 2) <=> v121(constB63, 2))) | v123(constB64, 2) | (~v121(constB63, 2))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12527,plain,
% 218.08/140.67 ((~(v123(constB64, 2) <=> v121(constB63, 2))) | (~v121(constB63, 2))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12526, 12525])).
% 218.08/140.67 tff(12528,plain,
% 218.08/140.67 (~v121(constB63, 2)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12527, 12512])).
% 218.08/140.67 tff(12529,plain,
% 218.08/140.67 ((~(v121(constB63, 2) <=> v124(constB63, 2))) | v121(constB63, 2) | (~v124(constB63, 2))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12530,plain,
% 218.08/140.67 ((~(v121(constB63, 2) <=> v124(constB63, 2))) | (~v124(constB63, 2))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12529, 12528])).
% 218.08/140.67 tff(12531,plain,
% 218.08/140.67 (~v124(constB63, 2)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12530, 12496])).
% 218.08/140.67 tff(12532,plain,
% 218.08/140.67 ((~(v124(constB63, 2) <=> b110(2))) | v124(constB63, 2) | (~b110(2))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12533,plain,
% 218.08/140.67 (~(v124(constB63, 2) <=> b110(2))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12532, 1598, 12531])).
% 218.08/140.67 tff(12534,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 1) <=> v124(constB63, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 1) <=> v124(constB63, 1)))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12535,plain,
% 218.08/140.67 (($false | $false | (v121(constB63, 1) <=> v124(constB63, 1))) <=> (v121(constB63, 1) <=> v124(constB63, 1))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12536,plain,
% 218.08/140.67 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB63, 1) <=> v124(constB63, 1))) <=> ($false | $false | (v121(constB63, 1) <=> v124(constB63, 1)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.67 tff(12537,plain,
% 218.08/140.67 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB63, 1) <=> v124(constB63, 1))) <=> (v121(constB63, 1) <=> v124(constB63, 1))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12536, 12535])).
% 218.08/140.67 tff(12538,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB63, 1) <=> v124(constB63, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 1) <=> v124(constB63, 1)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12537])).
% 218.08/140.67 tff(12539,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB63, 1) <=> v124(constB63, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 1) <=> v124(constB63, 1)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12538, 12534])).
% 218.08/140.67 tff(12540,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB63, 1) <=> v124(constB63, 1)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12541,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 1) <=> v124(constB63, 1))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12540, 12539])).
% 218.08/140.67 tff(12542,plain,
% 218.08/140.67 (v121(constB63, 1) <=> v124(constB63, 1)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12541, 12487])).
% 218.08/140.67 tff(12543,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 1) <=> v121(constB63, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 1) <=> v121(constB63, 1)))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12544,plain,
% 218.08/140.67 (($false | $false | (v123(constB64, 1) <=> v121(constB63, 1))) <=> (v123(constB64, 1) <=> v121(constB63, 1))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12545,plain,
% 218.08/140.67 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB64, 1) <=> v121(constB63, 1))) <=> ($false | $false | (v123(constB64, 1) <=> v121(constB63, 1)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.67 tff(12546,plain,
% 218.08/140.67 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB64, 1) <=> v121(constB63, 1))) <=> (v123(constB64, 1) <=> v121(constB63, 1))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12545, 12544])).
% 218.08/140.67 tff(12547,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB64, 1) <=> v121(constB63, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 1) <=> v121(constB63, 1)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12546])).
% 218.08/140.67 tff(12548,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB64, 1) <=> v121(constB63, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 1) <=> v121(constB63, 1)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12547, 12543])).
% 218.08/140.67 tff(12549,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB64, 1) <=> v121(constB63, 1)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12550,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 1) <=> v121(constB63, 1))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12549, 12548])).
% 218.08/140.67 tff(12551,plain,
% 218.08/140.67 (v123(constB64, 1) <=> v121(constB63, 1)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12550, 12503])).
% 218.08/140.67 tff(12552,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 1) <=> v123(constB64, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 1) <=> v123(constB64, 1)))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12553,plain,
% 218.08/140.67 (($false | $false | (v84(constB64, 1) <=> v123(constB64, 1))) <=> (v84(constB64, 1) <=> v123(constB64, 1))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12554,plain,
% 218.08/140.67 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB64, 1) <=> v123(constB64, 1))) <=> ($false | $false | (v84(constB64, 1) <=> v123(constB64, 1)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.67 tff(12555,plain,
% 218.08/140.67 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB64, 1) <=> v123(constB64, 1))) <=> (v84(constB64, 1) <=> v123(constB64, 1))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12554, 12553])).
% 218.08/140.67 tff(12556,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB64, 1) <=> v123(constB64, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 1) <=> v123(constB64, 1)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12555])).
% 218.08/140.67 tff(12557,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB64, 1) <=> v123(constB64, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 1) <=> v123(constB64, 1)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12556, 12552])).
% 218.08/140.67 tff(12558,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB64, 1) <=> v123(constB64, 1)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12559,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 1) <=> v123(constB64, 1))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12558, 12557])).
% 218.08/140.67 tff(12560,plain,
% 218.08/140.67 (v84(constB64, 1) <=> v123(constB64, 1)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12559, 12513])).
% 218.08/140.67 tff(12561,plain,
% 218.08/140.67 ((~(v84(constB64, 1) <=> v123(constB64, 1))) | v84(constB64, 1) | (~v123(constB64, 1))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12562,plain,
% 218.08/140.67 ((~(v84(constB64, 1) <=> v123(constB64, 1))) | (~v123(constB64, 1))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12561, 12480])).
% 218.08/140.67 tff(12563,plain,
% 218.08/140.67 (~v123(constB64, 1)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12562, 12560])).
% 218.08/140.67 tff(12564,plain,
% 218.08/140.67 ((~(v123(constB64, 1) <=> v121(constB63, 1))) | v123(constB64, 1) | (~v121(constB63, 1))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12565,plain,
% 218.08/140.67 ((~(v123(constB64, 1) <=> v121(constB63, 1))) | (~v121(constB63, 1))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12564, 12563])).
% 218.08/140.67 tff(12566,plain,
% 218.08/140.67 (~v121(constB63, 1)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12565, 12551])).
% 218.08/140.67 tff(12567,plain,
% 218.08/140.67 ((~(v121(constB63, 1) <=> v124(constB63, 1))) | v121(constB63, 1) | (~v124(constB63, 1))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12568,plain,
% 218.08/140.67 ((~(v121(constB63, 1) <=> v124(constB63, 1))) | (~v124(constB63, 1))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12567, 12566])).
% 218.08/140.67 tff(12569,plain,
% 218.08/140.67 (~v124(constB63, 1)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12568, 12542])).
% 218.08/140.67 tff(12570,assumption,(~v124(constB63, 1)), introduced(assumption)).
% 218.08/140.67 tff(12571,plain,
% 218.08/140.67 ((~(v124(constB63, 1) <=> b010(1))) | v124(constB63, 1) | (~b010(1))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12572,plain,
% 218.08/140.67 (~(v124(constB63, 1) <=> b010(1))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12571, 2513, 12570])).
% 218.08/140.67 tff(12573,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))), introduced(assumption)).
% 218.08/140.67 tff(12574,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 1) <=> b010(1)))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12575,plain,
% 218.08/140.67 (($false | $false | (v124(constB63, 1) <=> b010(1))) <=> (v124(constB63, 1) <=> b010(1))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12576,plain,
% 218.08/140.67 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b010(1))) <=> ($false | $false | (v124(constB63, 1) <=> b010(1)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.67 tff(12577,plain,
% 218.08/140.67 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b010(1))) <=> (v124(constB63, 1) <=> b010(1))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12576, 12575])).
% 218.08/140.67 tff(12578,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 1) <=> b010(1)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12577])).
% 218.08/140.67 tff(12579,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 1) <=> b010(1)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12578, 12574])).
% 218.08/140.67 tff(12580,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b010(1)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12581,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 1) <=> b010(1))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12580, 12579])).
% 218.08/140.67 tff(12582,plain,
% 218.08/140.67 ($false),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12581, 12573, 12572])).
% 218.08/140.67 tff(12583,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | v124(constB63, 1)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.67 tff(12584,plain,
% 218.08/140.67 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12583, 12569])).
% 218.08/140.67 tff(12585,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))), introduced(assumption)).
% 218.08/140.67 tff(12586,assumption,(v114(constB63)), introduced(assumption)).
% 218.08/140.67 tff(12587,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B))))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12588,plain,
% 218.08/140.67 (((~v114(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B))))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12589,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12588])).
% 218.08/140.67 tff(12590,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B))))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12589, 12587])).
% 218.08/140.67 tff(12591,plain,
% 218.08/140.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12592,plain,
% 218.08/140.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12591, 12590])).
% 218.08/140.67 tff(12593,plain,
% 218.08/140.67 ($false),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12592, 2418, 12586, 12585])).
% 218.08/140.67 tff(12594,plain,((~v114(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.67 tff(12595,plain,
% 218.08/140.67 (~v114(constB63)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12594, 12584])).
% 218.08/140.67 tff(12596,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 0) <=> v124(constB63, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 0) <=> v124(constB63, 0)))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12597,plain,
% 218.08/140.67 (($false | $false | (v121(constB63, 0) <=> v124(constB63, 0))) <=> (v121(constB63, 0) <=> v124(constB63, 0))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12598,plain,
% 218.08/140.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB63, 0) <=> v124(constB63, 0))) <=> ($false | $false | (v121(constB63, 0) <=> v124(constB63, 0)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.67 tff(12599,plain,
% 218.08/140.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB63, 0) <=> v124(constB63, 0))) <=> (v121(constB63, 0) <=> v124(constB63, 0))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12598, 12597])).
% 218.08/140.67 tff(12600,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB63, 0) <=> v124(constB63, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 0) <=> v124(constB63, 0)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12599])).
% 218.08/140.67 tff(12601,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB63, 0) <=> v124(constB63, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 0) <=> v124(constB63, 0)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12600, 12596])).
% 218.08/140.67 tff(12602,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB63, 0) <=> v124(constB63, 0)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12603,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB63, B) <=> v124(constB63, B)))) | (v121(constB63, 0) <=> v124(constB63, 0))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12602, 12601])).
% 218.08/140.67 tff(12604,plain,
% 218.08/140.67 (v121(constB63, 0) <=> v124(constB63, 0)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12603, 12487])).
% 218.08/140.67 tff(12605,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 0) <=> v121(constB63, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 0) <=> v121(constB63, 0)))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12606,plain,
% 218.08/140.67 (($false | $false | (v123(constB64, 0) <=> v121(constB63, 0))) <=> (v123(constB64, 0) <=> v121(constB63, 0))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12607,plain,
% 218.08/140.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB64, 0) <=> v121(constB63, 0))) <=> ($false | $false | (v123(constB64, 0) <=> v121(constB63, 0)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.67 tff(12608,plain,
% 218.08/140.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB64, 0) <=> v121(constB63, 0))) <=> (v123(constB64, 0) <=> v121(constB63, 0))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12607, 12606])).
% 218.08/140.67 tff(12609,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB64, 0) <=> v121(constB63, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 0) <=> v121(constB63, 0)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12608])).
% 218.08/140.67 tff(12610,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB64, 0) <=> v121(constB63, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 0) <=> v121(constB63, 0)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12609, 12605])).
% 218.08/140.67 tff(12611,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB64, 0) <=> v121(constB63, 0)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12612,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB64, B) <=> v121(constB63, B)))) | (v123(constB64, 0) <=> v121(constB63, 0))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12611, 12610])).
% 218.08/140.67 tff(12613,plain,
% 218.08/140.67 (v123(constB64, 0) <=> v121(constB63, 0)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12612, 12503])).
% 218.08/140.67 tff(12614,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 0) <=> v123(constB64, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 0) <=> v123(constB64, 0)))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12615,plain,
% 218.08/140.67 (($false | $false | (v84(constB64, 0) <=> v123(constB64, 0))) <=> (v84(constB64, 0) <=> v123(constB64, 0))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12616,plain,
% 218.08/140.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB64, 0) <=> v123(constB64, 0))) <=> ($false | $false | (v84(constB64, 0) <=> v123(constB64, 0)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.67 tff(12617,plain,
% 218.08/140.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB64, 0) <=> v123(constB64, 0))) <=> (v84(constB64, 0) <=> v123(constB64, 0))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12616, 12615])).
% 218.08/140.67 tff(12618,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB64, 0) <=> v123(constB64, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 0) <=> v123(constB64, 0)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12617])).
% 218.08/140.67 tff(12619,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB64, 0) <=> v123(constB64, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 0) <=> v123(constB64, 0)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12618, 12614])).
% 218.08/140.67 tff(12620,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB64, 0) <=> v123(constB64, 0)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12621,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (v84(constB64, 0) <=> v123(constB64, 0))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12620, 12619])).
% 218.08/140.67 tff(12622,plain,
% 218.08/140.67 (v84(constB64, 0) <=> v123(constB64, 0)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12621, 12513])).
% 218.08/140.67 tff(12623,plain,
% 218.08/140.67 ((~(v84(constB64, 0) <=> v123(constB64, 0))) | v84(constB64, 0) | (~v123(constB64, 0))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12624,plain,
% 218.08/140.67 ((~(v84(constB64, 0) <=> v123(constB64, 0))) | (~v123(constB64, 0))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12623, 12479])).
% 218.08/140.67 tff(12625,plain,
% 218.08/140.67 (~v123(constB64, 0)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12624, 12622])).
% 218.08/140.67 tff(12626,plain,
% 218.08/140.67 ((~(v123(constB64, 0) <=> v121(constB63, 0))) | v123(constB64, 0) | (~v121(constB63, 0))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12627,plain,
% 218.08/140.67 ((~(v123(constB64, 0) <=> v121(constB63, 0))) | (~v121(constB63, 0))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12626, 12625])).
% 218.08/140.67 tff(12628,plain,
% 218.08/140.67 (~v121(constB63, 0)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12627, 12613])).
% 218.08/140.67 tff(12629,plain,
% 218.08/140.67 ((~(v121(constB63, 0) <=> v124(constB63, 0))) | v121(constB63, 0) | (~v124(constB63, 0))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12630,plain,
% 218.08/140.67 ((~(v121(constB63, 0) <=> v124(constB63, 0))) | (~v124(constB63, 0))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12629, 12628])).
% 218.08/140.67 tff(12631,plain,
% 218.08/140.67 (~v124(constB63, 0)),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12630, 12604])).
% 218.08/140.67 tff(12632,assumption,(~v124(constB63, 0)), introduced(assumption)).
% 218.08/140.67 tff(12633,plain,
% 218.08/140.67 ((~(v124(constB63, 0) <=> b011(0))) | v124(constB63, 0) | (~b011(0))),
% 218.08/140.67 inference(tautology,[status(thm)],[])).
% 218.08/140.67 tff(12634,plain,
% 218.08/140.67 (~(v124(constB63, 0) <=> b011(0))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12633, 2025, 12632])).
% 218.08/140.67 tff(12635,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))), introduced(assumption)).
% 218.08/140.67 tff(12636,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 0) <=> b011(0)))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12637,plain,
% 218.08/140.67 (($false | $false | (v124(constB63, 0) <=> b011(0))) <=> (v124(constB63, 0) <=> b011(0))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12638,plain,
% 218.08/140.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b011(0))) <=> ($false | $false | (v124(constB63, 0) <=> b011(0)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.67 tff(12639,plain,
% 218.08/140.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b011(0))) <=> (v124(constB63, 0) <=> b011(0))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12638, 12637])).
% 218.08/140.67 tff(12640,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 0) <=> b011(0)))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12639])).
% 218.08/140.67 tff(12641,plain,
% 218.08/140.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 0) <=> b011(0)))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12640, 12636])).
% 218.08/140.67 tff(12642,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b011(0)))),
% 218.08/140.67 inference(quant_inst,[status(thm)],[])).
% 218.08/140.67 tff(12643,plain,
% 218.08/140.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 0) <=> b011(0))),
% 218.08/140.67 inference(modus_ponens,[status(thm)],[12642, 12641])).
% 218.08/140.67 tff(12644,plain,
% 218.08/140.67 ($false),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12643, 12635, 12634])).
% 218.08/140.67 tff(12645,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | v124(constB63, 0)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.67 tff(12646,plain,
% 218.08/140.67 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))),
% 218.08/140.67 inference(unit_resolution,[status(thm)],[12645, 12631])).
% 218.08/140.67 tff(12647,assumption,(v115(constB63)), introduced(assumption)).
% 218.08/140.67 tff(12648,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))), introduced(assumption)).
% 218.08/140.67 tff(12649,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B))))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12650,plain,
% 218.08/140.67 (((~v115(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B))))),
% 218.08/140.67 inference(rewrite,[status(thm)],[])).
% 218.08/140.67 tff(12651,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))))),
% 218.08/140.67 inference(monotonicity,[status(thm)],[12650])).
% 218.08/140.67 tff(12652,plain,
% 218.08/140.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B))))),
% 218.08/140.67 inference(transitivity,[status(thm)],[12651, 12649])).
% 218.08/140.67 tff(12653,plain,
% 218.08/140.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12654,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12653, 12652])).
% 218.08/140.68 tff(12655,plain,
% 218.08/140.68 ($false),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12654, 2144, 12648, 12647])).
% 218.08/140.68 tff(12656,plain,((~v115(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.68 tff(12657,plain,
% 218.08/140.68 (~v115(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12656, 12646])).
% 218.08/140.68 tff(12658,assumption,(~v124(constB63, 2)), introduced(assumption)).
% 218.08/140.68 tff(12659,plain,
% 218.08/140.68 ((~(v124(constB63, 2) <=> b101(2))) | v124(constB63, 2) | (~b101(2))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12660,plain,
% 218.08/140.68 (~(v124(constB63, 2) <=> b101(2))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12659, 2354, 12658])).
% 218.08/140.68 tff(12661,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))), introduced(assumption)).
% 218.08/140.68 tff(12662,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))) | (v124(constB63, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))) | (v124(constB63, 2) <=> b101(2)))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12663,plain,
% 218.08/140.68 (($false | $false | (v124(constB63, 2) <=> b101(2))) <=> (v124(constB63, 2) <=> b101(2))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12664,plain,
% 218.08/140.68 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b101(2))) <=> ($false | $false | (v124(constB63, 2) <=> b101(2)))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.68 tff(12665,plain,
% 218.08/140.68 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b101(2))) <=> (v124(constB63, 2) <=> b101(2))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12664, 12663])).
% 218.08/140.68 tff(12666,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))) | (v124(constB63, 2) <=> b101(2)))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12665])).
% 218.08/140.68 tff(12667,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))) | (v124(constB63, 2) <=> b101(2)))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12666, 12662])).
% 218.08/140.68 tff(12668,plain,
% 218.08/140.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b101(2)))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12669,plain,
% 218.08/140.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))) | (v124(constB63, 2) <=> b101(2))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12668, 12667])).
% 218.08/140.68 tff(12670,plain,
% 218.08/140.68 ($false),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12669, 12661, 12660])).
% 218.08/140.68 tff(12671,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))) | v124(constB63, 2)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.68 tff(12672,plain,
% 218.08/140.68 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12671, 12531])).
% 218.08/140.68 tff(12673,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))), introduced(assumption)).
% 218.08/140.68 tff(12674,assumption,(v117(constB63)), introduced(assumption)).
% 218.08/140.68 tff(12675,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12676,plain,
% 218.08/140.68 (((~v117(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12677,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12676])).
% 218.08/140.68 tff(12678,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B))))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12677, 12675])).
% 218.08/140.68 tff(12679,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12680,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 218.08/140.68 tff(12681,plain,
% 218.08/140.68 ($false),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12680, 2090, 12674, 12673])).
% 218.08/140.68 tff(12682,plain,((~v117(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.68 tff(12683,plain,
% 218.08/140.68 (~v117(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12682, 12672])).
% 218.08/140.68 tff(12684,plain,
% 218.08/140.68 ((~(v124(constB63, 0) <=> b001(0))) | v124(constB63, 0) | (~b001(0))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12685,plain,
% 218.08/140.68 (~(v124(constB63, 0) <=> b001(0))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12684, 1940, 12632])).
% 218.08/140.68 tff(12686,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))), introduced(assumption)).
% 218.08/140.68 tff(12687,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 0) <=> b001(0)))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12688,plain,
% 218.08/140.68 (($false | $false | (v124(constB63, 0) <=> b001(0))) <=> (v124(constB63, 0) <=> b001(0))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12689,plain,
% 218.08/140.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b001(0))) <=> ($false | $false | (v124(constB63, 0) <=> b001(0)))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.68 tff(12690,plain,
% 218.08/140.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b001(0))) <=> (v124(constB63, 0) <=> b001(0))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12689, 12688])).
% 218.08/140.68 tff(12691,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 0) <=> b001(0)))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12690])).
% 218.08/140.68 tff(12692,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 0) <=> b001(0)))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12691, 12687])).
% 218.08/140.68 tff(12693,plain,
% 218.08/140.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b001(0)))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12694,plain,
% 218.08/140.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 0) <=> b001(0))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12693, 12692])).
% 218.08/140.68 tff(12695,plain,
% 218.08/140.68 ($false),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12694, 12686, 12685])).
% 218.08/140.68 tff(12696,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | v124(constB63, 0)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.68 tff(12697,plain,
% 218.08/140.68 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12696, 12631])).
% 218.08/140.68 tff(12698,assumption,(v113(constB63)), introduced(assumption)).
% 218.08/140.68 tff(12699,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))), introduced(assumption)).
% 218.08/140.68 tff(12700,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12701,plain,
% 218.08/140.68 (((~v113(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12702,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12701])).
% 218.08/140.68 tff(12703,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12702, 12700])).
% 218.08/140.68 tff(12704,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12705,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12704, 12703])).
% 218.08/140.68 tff(12706,plain,
% 218.08/140.68 ($false),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12705, 2117, 12699, 12698])).
% 218.08/140.68 tff(12707,plain,((~v113(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.68 tff(12708,plain,
% 218.08/140.68 (~v113(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12707, 12697])).
% 218.08/140.68 tff(12709,plain,
% 218.08/140.68 ((~(v124(constB63, 2) <=> b100(2))) | v124(constB63, 2) | (~b100(2))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12710,plain,
% 218.08/140.68 (~(v124(constB63, 2) <=> b100(2))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12709, 2250, 12658])).
% 218.08/140.68 tff(12711,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))), introduced(assumption)).
% 218.08/140.68 tff(12712,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 2) <=> b100(2)))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12713,plain,
% 218.08/140.68 (($false | $false | (v124(constB63, 2) <=> b100(2))) <=> (v124(constB63, 2) <=> b100(2))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12714,plain,
% 218.08/140.68 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b100(2))) <=> ($false | $false | (v124(constB63, 2) <=> b100(2)))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.68 tff(12715,plain,
% 218.08/140.68 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b100(2))) <=> (v124(constB63, 2) <=> b100(2))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12714, 12713])).
% 218.08/140.68 tff(12716,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 2) <=> b100(2)))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12715])).
% 218.08/140.68 tff(12717,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 2) <=> b100(2)))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12716, 12712])).
% 218.08/140.68 tff(12718,plain,
% 218.08/140.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b100(2)))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12719,plain,
% 218.08/140.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 2) <=> b100(2))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12718, 12717])).
% 218.08/140.68 tff(12720,plain,
% 218.08/140.68 ($false),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12719, 12711, 12710])).
% 218.08/140.68 tff(12721,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | v124(constB63, 2)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.68 tff(12722,plain,
% 218.08/140.68 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12721, 12531])).
% 218.08/140.68 tff(12723,assumption,(v116(constB63)), introduced(assumption)).
% 218.08/140.68 tff(12724,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))), introduced(assumption)).
% 218.08/140.68 tff(12725,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12726,plain,
% 218.08/140.68 (((~v116(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12727,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12726])).
% 218.08/140.68 tff(12728,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B))))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12727, 12725])).
% 218.08/140.68 tff(12729,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12730,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12729, 12728])).
% 218.08/140.68 tff(12731,plain,
% 218.08/140.68 ($false),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12730, 2230, 12724, 12723])).
% 218.08/140.68 tff(12732,plain,((~v116(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.68 tff(12733,plain,
% 218.08/140.68 (~v116(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12732, 12722])).
% 218.08/140.68 tff(12734,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12735,plain,
% 218.08/140.68 ((v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) <=> (v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12736,plain,
% 218.08/140.68 (^[B: $int] : rewrite(((v124(constB63, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))))),
% 218.08/140.68 inference(bind,[status(th)],[])).
% 218.08/140.68 tff(12737,plain,
% 218.08/140.68 (![B: $int] : ((v124(constB63, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))),
% 218.08/140.68 inference(quant_intro,[status(thm)],[12736])).
% 218.08/140.68 tff(12738,plain,
% 218.08/140.68 ((v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ((v124(constB63, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12737])).
% 218.08/140.68 tff(12739,plain,
% 218.08/140.68 ((v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ((v124(constB63, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12738, 12735])).
% 218.08/140.68 tff(12740,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ((v124(constB63, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12739])).
% 218.08/140.68 tff(12741,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ((v124(constB63, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12740, 12734])).
% 218.08/140.68 tff(12742,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ((v124(constB63, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12743,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB63) | v117(constB63) | v116(constB63) | v115(constB63) | v114(constB63) | v113(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12742, 12741])).
% 218.08/140.68 tff(12744,plain,
% 218.08/140.68 (v118(constB63) | v117(constB63) | v115(constB63) | v114(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12743, 1807, 12733, 12697, 12708])).
% 218.08/140.68 tff(12745,plain,
% 218.08/140.68 (v118(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12744, 12683, 12657, 12595])).
% 218.08/140.68 tff(12746,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12747,plain,
% 218.08/140.68 (((~v118(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12748,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12747])).
% 218.08/140.68 tff(12749,plain,
% 218.08/140.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B))))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12748, 12746])).
% 218.08/140.68 tff(12750,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB63)) | ![B: $int] : ((v124(constB63, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12751,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12750, 12749])).
% 218.08/140.68 tff(12752,plain,
% 218.08/140.68 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12751, 1977, 12745])).
% 218.08/140.68 tff(12753,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | (v124(constB63, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | (v124(constB63, 2) <=> b110(2)))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12754,plain,
% 218.08/140.68 (($false | $false | (v124(constB63, 2) <=> b110(2))) <=> (v124(constB63, 2) <=> b110(2))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12755,plain,
% 218.08/140.68 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b110(2))) <=> ($false | $false | (v124(constB63, 2) <=> b110(2)))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.68 tff(12756,plain,
% 218.08/140.68 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b110(2))) <=> (v124(constB63, 2) <=> b110(2))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12755, 12754])).
% 218.08/140.68 tff(12757,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | (v124(constB63, 2) <=> b110(2)))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12756])).
% 218.08/140.68 tff(12758,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | (v124(constB63, 2) <=> b110(2)))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12757, 12753])).
% 218.08/140.68 tff(12759,plain,
% 218.08/140.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b110(2)))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12760,plain,
% 218.08/140.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | (v124(constB63, 2) <=> b110(2))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12759, 12758])).
% 218.08/140.68 tff(12761,plain,
% 218.08/140.68 ($false),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12760, 12752, 12533])).
% 218.08/140.68 tff(12762,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | v84(constB64, 1) | v84(constB64, 0) | v84(constB64, 2)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.68 tff(12763,plain,
% 218.08/140.68 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12762, 12480, 12479, 12478])).
% 218.08/140.68 tff(12764,plain,
% 218.08/140.68 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12765,plain,
% 218.08/140.68 (((~v94(constB64)) | ![B: $int] : ((v84(constB64, B) <=> v123(constB64, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12766,plain,
% 218.08/140.68 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB64)) | ![B: $int] : ((v84(constB64, B) <=> v123(constB64, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12765])).
% 218.08/140.68 tff(12767,plain,
% 218.08/140.68 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB64)) | ![B: $int] : ((v84(constB64, B) <=> v123(constB64, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B))))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12766, 12764])).
% 218.08/140.68 tff(12768,plain,
% 218.08/140.68 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB64)) | ![B: $int] : ((v84(constB64, B) <=> v123(constB64, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12769,plain,
% 218.08/140.68 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12768, 12767])).
% 218.08/140.68 tff(12770,plain,
% 218.08/140.68 ((~v94(constB64)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12769, 1491])).
% 218.08/140.68 tff(12771,plain,
% 218.08/140.68 (~v94(constB64)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12770, 12763])).
% 218.08/140.68 tff(12772,plain,
% 218.08/140.68 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[7011, 12771])).
% 218.08/140.68 tff(12773,plain,
% 218.08/140.68 (v84(constB64, 0) <=> v84(constB63, 0)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[7051, 12772])).
% 218.08/140.68 tff(12774,plain,
% 218.08/140.68 ((~(v84(constB64, 0) <=> v84(constB63, 0))) | (~v84(constB63, 0))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[7053, 12479])).
% 218.08/140.68 tff(12775,plain,
% 218.08/140.68 (~v84(constB63, 0)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12774, 12773])).
% 218.08/140.68 tff(12776,plain,
% 218.08/140.68 (v84(constB64, 2) <=> v84(constB63, 2)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[7109, 12772])).
% 218.08/140.68 tff(12777,plain,
% 218.08/140.68 ((~(v84(constB64, 2) <=> v84(constB63, 2))) | (~v84(constB63, 2))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[7111, 12478])).
% 218.08/140.68 tff(12778,plain,
% 218.08/140.68 (~v84(constB63, 2)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12777, 12776])).
% 218.08/140.68 tff(12779,plain,
% 218.08/140.68 (v84(constB64, 1) <=> v84(constB63, 1)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[7020, 12772])).
% 218.08/140.68 tff(12780,plain,
% 218.08/140.68 ((~(v84(constB64, 1) <=> v84(constB63, 1))) | (~v84(constB63, 1))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[7022, 12480])).
% 218.08/140.68 tff(12781,plain,
% 218.08/140.68 (~v84(constB63, 1)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12780, 12779])).
% 218.08/140.68 tff(12782,plain,
% 218.08/140.68 ((~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))) | v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12783,plain,
% 218.08/140.68 (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12782, 12781, 12778, 12775])).
% 218.08/140.68 tff(12784,plain,
% 218.08/140.68 ((~(v113(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))))) | v113(constB63) | (v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12785,plain,
% 218.08/140.68 ((~(v113(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))))) | v113(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12784, 12783])).
% 218.08/140.68 tff(12786,plain,
% 218.08/140.68 (v113(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12785, 6825])).
% 218.08/140.68 tff(12787,plain,
% 218.08/140.68 ((v113(constB63) | v114(constB63)) | (~v113(constB63))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12788,plain,
% 218.08/140.68 (v113(constB63) | v114(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12787, 12786])).
% 218.08/140.68 tff(12789,plain,
% 218.08/140.68 ((~(v112(constB63) <=> (v113(constB63) | v114(constB63)))) | v112(constB63) | (~(v113(constB63) | v114(constB63)))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12790,plain,
% 218.08/140.68 ((~(v112(constB63) <=> (v113(constB63) | v114(constB63)))) | v112(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12789, 12788])).
% 218.08/140.68 tff(12791,plain,
% 218.08/140.68 (v112(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12790, 6314])).
% 218.08/140.68 tff(12792,plain,
% 218.08/140.68 ((v112(constB63) | v115(constB63)) | (~v112(constB63))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12793,plain,
% 218.08/140.68 (v112(constB63) | v115(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12792, 12791])).
% 218.08/140.68 tff(12794,plain,
% 218.08/140.68 ((~(v111(constB63) <=> (v112(constB63) | v115(constB63)))) | v111(constB63) | (~(v112(constB63) | v115(constB63)))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12795,plain,
% 218.08/140.68 (v111(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12794, 12793, 6312])).
% 218.08/140.68 tff(12796,plain,
% 218.08/140.68 ((~(v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64)))))) | v94(constB64) | ((~v95(constB64)) | (~v104(constB64)))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12797,plain,
% 218.08/140.68 (v94(constB64) | ((~v95(constB64)) | (~v104(constB64)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12796, 7001])).
% 218.08/140.68 tff(12798,plain,
% 218.08/140.68 ((~v95(constB64)) | (~v104(constB64))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12797, 12771])).
% 218.08/140.68 tff(12799,plain,
% 218.08/140.68 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12800,plain,
% 218.08/140.68 (((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64)))))) <=> ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12801,plain,
% 218.08/140.68 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64)))))))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[12800])).
% 218.08/140.68 tff(12802,plain,
% 218.08/140.68 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12801, 12799])).
% 218.08/140.68 tff(12803,plain,
% 218.08/140.68 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64))))))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12804,plain,
% 218.08/140.68 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64)))))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12803, 12802])).
% 218.08/140.68 tff(12805,plain,
% 218.08/140.68 (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12804, 6988, 37])).
% 218.08/140.68 tff(12806,plain,
% 218.08/140.68 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64)))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12807,plain,
% 218.08/140.68 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64)))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12808,plain,
% 218.08/140.68 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12807, 12806])).
% 218.08/140.68 tff(12809,plain,
% 218.08/140.68 ((~v96(constB64)) <=> v98(constB64)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12808, 6988, 54])).
% 218.08/140.68 tff(12810,plain,
% 218.08/140.68 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63)))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12811,plain,
% 218.08/140.68 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63)))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12812,plain,
% 218.08/140.68 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63))),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12811, 12810])).
% 218.08/140.68 tff(12813,plain,
% 218.08/140.68 (v98(constB64) <=> v1(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12812, 6988, 68])).
% 218.08/140.68 tff(12814,plain,
% 218.08/140.68 ((~(v98(constB64) <=> v1(constB63))) | (~v98(constB64)) | v1(constB63)),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12815,plain,
% 218.08/140.68 ((~(v98(constB64) <=> v1(constB63))) | (~v98(constB64))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12814, 6333])).
% 218.08/140.68 tff(12816,plain,
% 218.08/140.68 (~v98(constB64)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12815, 12813])).
% 218.08/140.68 tff(12817,plain,
% 218.08/140.68 ((~((~v96(constB64)) <=> v98(constB64))) | v96(constB64) | v98(constB64)),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12818,plain,
% 218.08/140.68 (v96(constB64)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12817, 12816, 12809])).
% 218.08/140.68 tff(12819,plain,
% 218.08/140.68 (v1(constB64) <=> v1(constB64)),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12820,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64')).
% 218.08/140.68 tff(12821,plain,
% 218.08/140.68 (v1(constB64)),
% 218.08/140.68 inference(modus_ponens,[status(thm)],[12820, 12819])).
% 218.08/140.68 tff(12822,plain,
% 218.08/140.68 ((~((~v1(constB64)) | (~v96(constB64)))) | (~v1(constB64)) | (~v96(constB64))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12823,plain,
% 218.08/140.68 ((~((~v1(constB64)) | (~v96(constB64)))) | (~v96(constB64))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12822, 12821])).
% 218.08/140.68 tff(12824,plain,
% 218.08/140.68 (~((~v1(constB64)) | (~v96(constB64)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12823, 12818])).
% 218.08/140.68 tff(12825,plain,
% 218.08/140.68 ((~(v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64)))))) | v95(constB64) | ((~v1(constB64)) | (~v96(constB64)))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12826,plain,
% 218.08/140.68 (v95(constB64)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12825, 12824, 12805])).
% 218.08/140.68 tff(12827,plain,
% 218.08/140.68 ((~((~v95(constB64)) | (~v104(constB64)))) | (~v95(constB64)) | (~v104(constB64))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12828,plain,
% 218.08/140.68 ((~((~v95(constB64)) | (~v104(constB64)))) | (~v104(constB64))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12827, 12826])).
% 218.08/140.68 tff(12829,plain,
% 218.08/140.68 (~v104(constB64)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12828, 12798])).
% 218.08/140.68 tff(12830,plain,
% 218.08/140.68 ((~(v104(constB64) <=> v102(constB63))) | v104(constB64) | (~v102(constB63))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12831,plain,
% 218.08/140.68 (v104(constB64) | (~v102(constB63))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12830, 6992])).
% 218.08/140.68 tff(12832,plain,
% 218.08/140.68 (~v102(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12831, 12829])).
% 218.08/140.68 tff(12833,plain,
% 218.08/140.68 ((~(v102(constB63) <=> (v105(constB63) | v106(constB63)))) | v102(constB63) | (~(v105(constB63) | v106(constB63)))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12834,plain,
% 218.08/140.68 (v102(constB63) | (~(v105(constB63) | v106(constB63)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12833, 6982])).
% 218.08/140.68 tff(12835,plain,
% 218.08/140.68 (~(v105(constB63) | v106(constB63))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12834, 12832])).
% 218.08/140.68 tff(12836,plain,
% 218.08/140.68 ((v105(constB63) | v106(constB63)) | (~v106(constB63))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12837,plain,
% 218.08/140.68 (~v106(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12836, 12835])).
% 218.08/140.68 tff(12838,plain,
% 218.08/140.68 ((~(v106(constB63) <=> (~((~v107(constB63)) | (~v120(constB63)))))) | v106(constB63) | ((~v107(constB63)) | (~v120(constB63)))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12839,plain,
% 218.08/140.68 (v106(constB63) | ((~v107(constB63)) | (~v120(constB63)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12838, 6967])).
% 218.08/140.68 tff(12840,plain,
% 218.08/140.68 ((~v107(constB63)) | (~v120(constB63))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12839, 12837])).
% 218.08/140.68 tff(12841,plain,
% 218.08/140.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB63)) <=> v105(constB63))),
% 218.08/140.68 inference(quant_inst,[status(thm)],[])).
% 218.08/140.68 tff(12842,plain,
% 218.08/140.68 ((~v120(constB63)) <=> v105(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12841, 144])).
% 218.08/140.68 tff(12843,plain,
% 218.08/140.68 ((~((~v120(constB63)) <=> v105(constB63))) | v120(constB63) | v105(constB63)),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12844,plain,
% 218.08/140.68 ((~((~v120(constB63)) <=> v105(constB63))) | v120(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12843, 6977])).
% 218.08/140.68 tff(12845,plain,
% 218.08/140.68 (v120(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12844, 12842])).
% 218.08/140.68 tff(12846,plain,
% 218.08/140.68 ((~((~v107(constB63)) | (~v120(constB63)))) | (~v107(constB63)) | (~v120(constB63))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12847,plain,
% 218.08/140.68 ((~((~v107(constB63)) | (~v120(constB63)))) | (~v107(constB63))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12846, 12845])).
% 218.08/140.68 tff(12848,plain,
% 218.08/140.68 (~v107(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12847, 12840])).
% 218.08/140.68 tff(12849,plain,
% 218.08/140.68 ((~(v107(constB63) <=> (v108(constB63) | v119(constB63)))) | v107(constB63) | (~(v108(constB63) | v119(constB63)))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12850,plain,
% 218.08/140.68 ((~(v107(constB63) <=> (v108(constB63) | v119(constB63)))) | (~(v108(constB63) | v119(constB63)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12849, 12848])).
% 218.08/140.68 tff(12851,plain,
% 218.08/140.68 (~(v108(constB63) | v119(constB63))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12850, 6304])).
% 218.08/140.68 tff(12852,plain,
% 218.08/140.68 ((v108(constB63) | v119(constB63)) | (~v108(constB63))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12853,plain,
% 218.08/140.68 (~v108(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12852, 12851])).
% 218.08/140.68 tff(12854,plain,
% 218.08/140.68 ((~(v108(constB63) <=> (v109(constB63) | v118(constB63)))) | v108(constB63) | (~(v109(constB63) | v118(constB63)))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12855,plain,
% 218.08/140.68 ((~(v108(constB63) <=> (v109(constB63) | v118(constB63)))) | (~(v109(constB63) | v118(constB63)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12854, 12853])).
% 218.08/140.68 tff(12856,plain,
% 218.08/140.68 (~(v109(constB63) | v118(constB63))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12855, 6306])).
% 218.08/140.68 tff(12857,plain,
% 218.08/140.68 ((v109(constB63) | v118(constB63)) | (~v109(constB63))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12858,plain,
% 218.08/140.68 (~v109(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12857, 12856])).
% 218.08/140.68 tff(12859,plain,
% 218.08/140.68 ((~(v109(constB63) <=> (v110(constB63) | v117(constB63)))) | v109(constB63) | (~(v110(constB63) | v117(constB63)))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12860,plain,
% 218.08/140.68 ((~(v109(constB63) <=> (v110(constB63) | v117(constB63)))) | (~(v110(constB63) | v117(constB63)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12859, 12858])).
% 218.08/140.68 tff(12861,plain,
% 218.08/140.68 (~(v110(constB63) | v117(constB63))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12860, 6308])).
% 218.08/140.68 tff(12862,plain,
% 218.08/140.68 ((v110(constB63) | v117(constB63)) | (~v110(constB63))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12863,plain,
% 218.08/140.68 (~v110(constB63)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12862, 12861])).
% 218.08/140.68 tff(12864,plain,
% 218.08/140.68 ((~(v110(constB63) <=> (v111(constB63) | v116(constB63)))) | v110(constB63) | (~(v111(constB63) | v116(constB63)))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12865,plain,
% 218.08/140.68 (~(v111(constB63) | v116(constB63))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12864, 12863, 6310])).
% 218.08/140.68 tff(12866,plain,
% 218.08/140.68 ((v111(constB63) | v116(constB63)) | (~v111(constB63))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12867,plain,
% 218.08/140.68 ($false),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12866, 12865, 12795])).
% 218.08/140.68 tff(12868,plain,(v84(constB64, 1) | v84(constB64, 0) | v84(constB64, 2)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.68 tff(12869,plain,
% 218.08/140.68 ($false),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12868, 12477, 12474, 12470])).
% 218.08/140.68 tff(12870,plain,(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.68 tff(12871,assumption,(~(v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))))), introduced(assumption)).
% 218.08/140.68 tff(12872,plain,
% 218.08/140.68 ($false),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[7033, 597, 12871])).
% 218.08/140.68 tff(12873,plain,(v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.68 tff(12874,plain,
% 218.08/140.68 ((~v113(constB65)) | (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[7061, 12873])).
% 218.08/140.68 tff(12875,plain,
% 218.08/140.68 (~v113(constB65)),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12874, 12870])).
% 218.08/140.68 tff(12876,plain,
% 218.08/140.68 ((~(v124(constB65, 0) <=> b001(0))) | v124(constB65, 0) | (~b001(0))),
% 218.08/140.68 inference(tautology,[status(thm)],[])).
% 218.08/140.68 tff(12877,plain,
% 218.08/140.68 (~(v124(constB65, 0) <=> b001(0))),
% 218.08/140.68 inference(unit_resolution,[status(thm)],[12876, 1940, 12415])).
% 218.08/140.68 tff(12878,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))), introduced(assumption)).
% 218.08/140.68 tff(12879,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 0) <=> b001(0)))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12880,plain,
% 218.08/140.68 (($false | $false | (v124(constB65, 0) <=> b001(0))) <=> (v124(constB65, 0) <=> b001(0))),
% 218.08/140.68 inference(rewrite,[status(thm)],[])).
% 218.08/140.68 tff(12881,plain,
% 218.08/140.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b001(0))) <=> ($false | $false | (v124(constB65, 0) <=> b001(0)))),
% 218.08/140.68 inference(monotonicity,[status(thm)],[250, 249])).
% 218.08/140.68 tff(12882,plain,
% 218.08/140.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b001(0))) <=> (v124(constB65, 0) <=> b001(0))),
% 218.08/140.68 inference(transitivity,[status(thm)],[12881, 12880])).
% 218.08/140.68 tff(12883,plain,
% 218.08/140.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 0) <=> b001(0)))),
% 218.08/140.69 inference(monotonicity,[status(thm)],[12882])).
% 218.08/140.69 tff(12884,plain,
% 218.08/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 0) <=> b001(0)))),
% 218.08/140.69 inference(transitivity,[status(thm)],[12883, 12879])).
% 218.08/140.69 tff(12885,plain,
% 218.08/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b001(0)))),
% 218.08/140.69 inference(quant_inst,[status(thm)],[])).
% 218.08/140.69 tff(12886,plain,
% 218.08/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 0) <=> b001(0))),
% 218.08/140.69 inference(modus_ponens,[status(thm)],[12885, 12884])).
% 218.08/140.69 tff(12887,plain,
% 218.08/140.69 ($false),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12886, 12878, 12877])).
% 218.08/140.69 tff(12888,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | v124(constB65, 0)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.69 tff(12889,plain,
% 218.08/140.69 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12888, 12414])).
% 218.08/140.69 tff(12890,plain,
% 218.08/140.69 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))) | v113(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))) | v113(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12891,plain,
% 218.08/140.69 ((v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) <=> (v118(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))) | v113(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12892,plain,
% 218.08/140.69 (^[B: $int] : rewrite(((v124(constB65, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))))),
% 218.08/140.69 inference(bind,[status(th)],[])).
% 218.08/140.69 tff(12893,plain,
% 218.08/140.69 (![B: $int] : ((v124(constB65, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))),
% 218.08/140.69 inference(quant_intro,[status(thm)],[12892])).
% 218.08/140.69 tff(12894,plain,
% 218.08/140.69 ((v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | ![B: $int] : ((v124(constB65, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))))),
% 218.08/140.69 inference(monotonicity,[status(thm)],[12893])).
% 218.08/140.69 tff(12895,plain,
% 218.08/140.69 ((v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | ![B: $int] : ((v124(constB65, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))) | v113(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65))),
% 218.08/140.69 inference(transitivity,[status(thm)],[12894, 12891])).
% 218.08/140.69 tff(12896,plain,
% 218.08/140.69 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | ![B: $int] : ((v124(constB65, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))) | v113(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65)))),
% 218.08/140.69 inference(monotonicity,[status(thm)],[12895])).
% 218.08/140.69 tff(12897,plain,
% 218.08/140.69 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | ![B: $int] : ((v124(constB65, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))) | v113(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65))),
% 218.08/140.69 inference(transitivity,[status(thm)],[12896, 12890])).
% 218.08/140.69 tff(12898,plain,
% 218.08/140.69 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | ![B: $int] : ((v124(constB65, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.69 inference(quant_inst,[status(thm)],[])).
% 218.08/140.69 tff(12899,plain,
% 218.08/140.69 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))) | v113(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65)),
% 218.08/140.69 inference(modus_ponens,[status(thm)],[12898, 12897])).
% 218.08/140.69 tff(12900,plain,
% 218.08/140.69 (v118(constB65) | v116(constB65) | v114(constB65)),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12899, 1807, 12889, 12875, 12465, 12440])).
% 218.08/140.69 tff(12901,plain,
% 218.08/140.69 (v116(constB65)),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12900, 12376, 12353])).
% 218.08/140.69 tff(12902,plain,
% 218.08/140.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B))))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12903,plain,
% 218.08/140.69 (((~v116(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B))))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12904,plain,
% 218.08/140.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))))),
% 218.08/140.69 inference(monotonicity,[status(thm)],[12903])).
% 218.08/140.69 tff(12905,plain,
% 218.08/140.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B))))),
% 218.08/140.69 inference(transitivity,[status(thm)],[12904, 12902])).
% 218.08/140.69 tff(12906,plain,
% 218.08/140.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.69 inference(quant_inst,[status(thm)],[])).
% 218.08/140.69 tff(12907,plain,
% 218.08/140.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))),
% 218.08/140.69 inference(modus_ponens,[status(thm)],[12906, 12905])).
% 218.08/140.69 tff(12908,plain,
% 218.08/140.69 ((~v116(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12907, 2230])).
% 218.08/140.69 tff(12909,plain,
% 218.08/140.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12908, 12901])).
% 218.08/140.69 tff(12910,plain,
% 218.08/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | (v124(constB65, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | (v124(constB65, 2) <=> b100(2)))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12911,plain,
% 218.08/140.69 (($false | $false | (v124(constB65, 2) <=> b100(2))) <=> (v124(constB65, 2) <=> b100(2))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12912,plain,
% 218.08/140.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b100(2))) <=> ($false | $false | (v124(constB65, 2) <=> b100(2)))),
% 218.08/140.69 inference(monotonicity,[status(thm)],[534, 533])).
% 218.08/140.69 tff(12913,plain,
% 218.08/140.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b100(2))) <=> (v124(constB65, 2) <=> b100(2))),
% 218.08/140.69 inference(transitivity,[status(thm)],[12912, 12911])).
% 218.08/140.69 tff(12914,plain,
% 218.08/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | (v124(constB65, 2) <=> b100(2)))),
% 218.08/140.69 inference(monotonicity,[status(thm)],[12913])).
% 218.08/140.69 tff(12915,plain,
% 218.08/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | (v124(constB65, 2) <=> b100(2)))),
% 218.08/140.69 inference(transitivity,[status(thm)],[12914, 12910])).
% 218.08/140.69 tff(12916,plain,
% 218.08/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b100(2)))),
% 218.08/140.69 inference(quant_inst,[status(thm)],[])).
% 218.08/140.69 tff(12917,plain,
% 218.08/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | (v124(constB65, 2) <=> b100(2))),
% 218.08/140.69 inference(modus_ponens,[status(thm)],[12916, 12915])).
% 218.08/140.69 tff(12918,plain,
% 218.08/140.69 ($false),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12917, 12909, 12292])).
% 218.08/140.69 tff(12919,plain,(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.69 tff(12920,plain,
% 218.08/140.69 ($false),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12919, 11985, 5422, 5425])).
% 218.08/140.69 tff(12921,plain,(v84(constB67, 1) | v84(constB67, 0) | (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.69 tff(12922,plain,
% 218.08/140.69 (v84(constB67, 0)),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12921, 11984, 5423])).
% 218.08/140.69 tff(12923,plain,
% 218.08/140.69 ($false),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[5435, 12922, 11984, 5465, 11966])).
% 218.08/140.69 tff(12924,plain,(v84(constB67, 2) | (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.69 tff(12925,plain,
% 218.08/140.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12924, 5465, 11953, 11954, 11957])).
% 218.08/140.69 tff(12926,assumption,(v124(constB67, 1)), introduced(assumption)).
% 218.08/140.69 tff(12927,plain,
% 218.08/140.69 ((~(v124(constB67, 1) <=> b100(1))) | (~v124(constB67, 1)) | b100(1)),
% 218.08/140.69 inference(tautology,[status(thm)],[])).
% 218.08/140.69 tff(12928,plain,
% 218.08/140.69 (~(v124(constB67, 1) <=> b100(1))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12927, 2274, 12926])).
% 218.08/140.69 tff(12929,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))), introduced(assumption)).
% 218.08/140.69 tff(12930,plain,
% 218.08/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 1) <=> b100(1)))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12931,plain,
% 218.08/140.69 (($false | $false | (v124(constB67, 1) <=> b100(1))) <=> (v124(constB67, 1) <=> b100(1))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12932,plain,
% 218.08/140.69 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b100(1))) <=> ($false | $false | (v124(constB67, 1) <=> b100(1)))),
% 218.08/140.69 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.69 tff(12933,plain,
% 218.08/140.69 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b100(1))) <=> (v124(constB67, 1) <=> b100(1))),
% 218.08/140.69 inference(transitivity,[status(thm)],[12932, 12931])).
% 218.08/140.69 tff(12934,plain,
% 218.08/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 1) <=> b100(1)))),
% 218.08/140.69 inference(monotonicity,[status(thm)],[12933])).
% 218.08/140.69 tff(12935,plain,
% 218.08/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 1) <=> b100(1)))),
% 218.08/140.69 inference(transitivity,[status(thm)],[12934, 12930])).
% 218.08/140.69 tff(12936,plain,
% 218.08/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b100(1)))),
% 218.08/140.69 inference(quant_inst,[status(thm)],[])).
% 218.08/140.69 tff(12937,plain,
% 218.08/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 1) <=> b100(1))),
% 218.08/140.69 inference(modus_ponens,[status(thm)],[12936, 12935])).
% 218.08/140.69 tff(12938,plain,
% 218.08/140.69 ($false),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12937, 12929, 12928])).
% 218.08/140.69 tff(12939,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (~v124(constB67, 1))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.69 tff(12940,plain,
% 218.08/140.69 (~v124(constB67, 1)),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12939, 12925])).
% 218.08/140.69 tff(12941,assumption,(~v117(constB67)), introduced(assumption)).
% 218.08/140.69 tff(12942,plain,
% 218.08/140.69 ((~(v124(constB67, 1) <=> b110(1))) | v124(constB67, 1) | (~b110(1))),
% 218.08/140.69 inference(tautology,[status(thm)],[])).
% 218.08/140.69 tff(12943,plain,
% 218.08/140.69 (~(v124(constB67, 1) <=> b110(1))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12942, 1662, 11070])).
% 218.08/140.69 tff(12944,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))), introduced(assumption)).
% 218.08/140.69 tff(12945,plain,
% 218.08/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 1) <=> b110(1)))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12946,plain,
% 218.08/140.69 (($false | $false | (v124(constB67, 1) <=> b110(1))) <=> (v124(constB67, 1) <=> b110(1))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12947,plain,
% 218.08/140.69 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b110(1))) <=> ($false | $false | (v124(constB67, 1) <=> b110(1)))),
% 218.08/140.69 inference(monotonicity,[status(thm)],[402, 401])).
% 218.08/140.69 tff(12948,plain,
% 218.08/140.69 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b110(1))) <=> (v124(constB67, 1) <=> b110(1))),
% 218.08/140.69 inference(transitivity,[status(thm)],[12947, 12946])).
% 218.08/140.69 tff(12949,plain,
% 218.08/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 1) <=> b110(1)))),
% 218.08/140.69 inference(monotonicity,[status(thm)],[12948])).
% 218.08/140.69 tff(12950,plain,
% 218.08/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 1) <=> b110(1)))),
% 218.08/140.69 inference(transitivity,[status(thm)],[12949, 12945])).
% 218.08/140.69 tff(12951,plain,
% 218.08/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b110(1)))),
% 218.08/140.69 inference(quant_inst,[status(thm)],[])).
% 218.08/140.69 tff(12952,plain,
% 218.08/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 1) <=> b110(1))),
% 218.08/140.69 inference(modus_ponens,[status(thm)],[12951, 12950])).
% 218.08/140.69 tff(12953,plain,
% 218.08/140.69 ($false),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12952, 12944, 12943])).
% 218.08/140.69 tff(12954,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | v124(constB67, 1)), inference(lemma,lemma(discharge,[]))).
% 218.08/140.69 tff(12955,plain,
% 218.08/140.69 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12954, 11070])).
% 218.08/140.69 tff(12956,assumption,(v118(constB67)), introduced(assumption)).
% 218.08/140.69 tff(12957,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))), introduced(assumption)).
% 218.08/140.69 tff(12958,plain,
% 218.08/140.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B))))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12959,plain,
% 218.08/140.69 (((~v118(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B))))),
% 218.08/140.69 inference(rewrite,[status(thm)],[])).
% 218.08/140.69 tff(12960,plain,
% 218.08/140.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))))),
% 218.08/140.69 inference(monotonicity,[status(thm)],[12959])).
% 218.08/140.69 tff(12961,plain,
% 218.08/140.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B))))),
% 218.08/140.69 inference(transitivity,[status(thm)],[12960, 12958])).
% 218.08/140.69 tff(12962,plain,
% 218.08/140.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB67)) | ![B: $int] : ((v124(constB67, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.08/140.69 inference(quant_inst,[status(thm)],[])).
% 218.08/140.69 tff(12963,plain,
% 218.08/140.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))),
% 218.08/140.69 inference(modus_ponens,[status(thm)],[12962, 12961])).
% 218.08/140.69 tff(12964,plain,
% 218.08/140.69 ($false),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12963, 1977, 12957, 12956])).
% 218.08/140.69 tff(12965,plain,((~v118(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 218.08/140.69 tff(12966,plain,
% 218.08/140.69 (~v118(constB67)),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12965, 12955])).
% 218.08/140.69 tff(12967,assumption,(v84(constB67, 2)), introduced(assumption)).
% 218.08/140.69 tff(12968,plain,
% 218.08/140.69 (v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[7323, 12967])).
% 218.08/140.69 tff(12969,plain,
% 218.08/140.69 ((~(v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))))) | (~v115(constB67))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[7325, 12968])).
% 218.08/140.69 tff(12970,plain,
% 218.08/140.69 (~v115(constB67)),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12969, 5457])).
% 218.08/140.69 tff(12971,plain,
% 218.08/140.69 (v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[7333, 12967])).
% 218.08/140.69 tff(12972,plain,
% 218.08/140.69 ((~(v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))))) | (~v116(constB67))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[7335, 12971])).
% 218.08/140.69 tff(12973,plain,
% 218.08/140.69 (~v116(constB67)),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12972, 5445])).
% 218.08/140.69 tff(12974,assumption,(~v118(constB67)), introduced(assumption)).
% 218.08/140.69 tff(12975,plain,
% 218.08/140.69 (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12139, 12967])).
% 218.08/140.69 tff(12976,plain,
% 218.08/140.69 ((~(v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))))) | (~v114(constB67))),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[7262, 12975])).
% 218.08/140.69 tff(12977,plain,
% 218.08/140.69 (~v114(constB67)),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12976, 5415])).
% 218.08/140.69 tff(12978,plain,
% 218.08/140.69 (v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)),
% 218.08/140.69 inference(unit_resolution,[status(thm)],[12143, 12967])).
% 218.08/140.69 tff(12979,plain,
% 218.08/140.69 ((~(v113(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))))) | (~v113(constB67))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[7291, 12978])).
% 218.15/140.69 tff(12980,plain,
% 218.15/140.69 (~v113(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[12979, 5380])).
% 218.15/140.69 tff(12981,plain,
% 218.15/140.69 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))) | v113(constB67) | v114(constB67) | v115(constB67) | v116(constB67) | v117(constB67) | v118(constB67))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))) | v113(constB67) | v114(constB67) | v115(constB67) | v116(constB67) | v117(constB67) | v118(constB67))),
% 218.15/140.69 inference(rewrite,[status(thm)],[])).
% 218.15/140.69 tff(12982,plain,
% 218.15/140.69 ((v118(constB67) | v117(constB67) | v116(constB67) | v115(constB67) | v114(constB67) | v113(constB67) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))) | v113(constB67) | v114(constB67) | v115(constB67) | v116(constB67) | v117(constB67) | v118(constB67))),
% 218.15/140.69 inference(rewrite,[status(thm)],[])).
% 218.15/140.69 tff(12983,plain,
% 218.15/140.69 (^[B: $int] : rewrite(((v124(constB67, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))))),
% 218.15/140.69 inference(bind,[status(th)],[])).
% 218.15/140.69 tff(12984,plain,
% 218.15/140.69 (![B: $int] : ((v124(constB67, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))),
% 218.15/140.69 inference(quant_intro,[status(thm)],[12983])).
% 218.15/140.69 tff(12985,plain,
% 218.15/140.69 ((v118(constB67) | v117(constB67) | v116(constB67) | v115(constB67) | v114(constB67) | v113(constB67) | ![B: $int] : ((v124(constB67, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB67) | v117(constB67) | v116(constB67) | v115(constB67) | v114(constB67) | v113(constB67) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))))),
% 218.15/140.69 inference(monotonicity,[status(thm)],[12984])).
% 218.15/140.69 tff(12986,plain,
% 218.15/140.69 ((v118(constB67) | v117(constB67) | v116(constB67) | v115(constB67) | v114(constB67) | v113(constB67) | ![B: $int] : ((v124(constB67, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))) | v113(constB67) | v114(constB67) | v115(constB67) | v116(constB67) | v117(constB67) | v118(constB67))),
% 218.15/140.69 inference(transitivity,[status(thm)],[12985, 12982])).
% 218.15/140.69 tff(12987,plain,
% 218.15/140.69 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB67) | v117(constB67) | v116(constB67) | v115(constB67) | v114(constB67) | v113(constB67) | ![B: $int] : ((v124(constB67, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))) | v113(constB67) | v114(constB67) | v115(constB67) | v116(constB67) | v117(constB67) | v118(constB67)))),
% 218.15/140.69 inference(monotonicity,[status(thm)],[12986])).
% 218.15/140.69 tff(12988,plain,
% 218.15/140.69 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB67) | v117(constB67) | v116(constB67) | v115(constB67) | v114(constB67) | v113(constB67) | ![B: $int] : ((v124(constB67, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))) | v113(constB67) | v114(constB67) | v115(constB67) | v116(constB67) | v117(constB67) | v118(constB67))),
% 218.15/140.69 inference(transitivity,[status(thm)],[12987, 12981])).
% 218.15/140.69 tff(12989,plain,
% 218.15/140.69 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB67) | v117(constB67) | v116(constB67) | v115(constB67) | v114(constB67) | v113(constB67) | ![B: $int] : ((v124(constB67, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.15/140.69 inference(quant_inst,[status(thm)],[])).
% 218.15/140.69 tff(12990,plain,
% 218.15/140.69 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))) | v113(constB67) | v114(constB67) | v115(constB67) | v116(constB67) | v117(constB67) | v118(constB67)),
% 218.15/140.69 inference(modus_ponens,[status(thm)],[12989, 12988])).
% 218.15/140.69 tff(12991,plain,
% 218.15/140.69 ($false),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[12990, 1807, 12941, 12980, 12977, 11955, 12974, 12973, 12970])).
% 218.15/140.69 tff(12992,plain,((~v84(constB67, 2)) | v117(constB67) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))) | v118(constB67)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.69 tff(12993,plain,
% 218.15/140.69 (~v84(constB67, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[12992, 12966, 12941, 11955])).
% 218.15/140.69 tff(12994,assumption,(~v108(constB67)), introduced(assumption)).
% 218.15/140.69 tff(12995,plain,
% 218.15/140.69 (~(v109(constB67) | v118(constB67))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5357, 12994, 5354])).
% 218.15/140.69 tff(12996,plain,
% 218.15/140.69 (~v109(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5360, 12995])).
% 218.15/140.69 tff(12997,plain,
% 218.15/140.69 (~(v110(constB67) | v117(constB67))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5362, 12996, 5352])).
% 218.15/140.69 tff(12998,plain,
% 218.15/140.69 (~v110(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5387, 12997])).
% 218.15/140.69 tff(12999,plain,
% 218.15/140.69 (~(v111(constB67) | v116(constB67))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5389, 12998, 5386])).
% 218.15/140.69 tff(13000,plain,
% 218.15/140.69 (~v111(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5392, 12999])).
% 218.15/140.69 tff(13001,plain,
% 218.15/140.69 (~(v112(constB67) | v115(constB67))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5394, 13000, 5384])).
% 218.15/140.69 tff(13002,plain,
% 218.15/140.69 (~v115(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5458, 13001])).
% 218.15/140.69 tff(13003,assumption,(v113(constB67) | v114(constB67)), introduced(assumption)).
% 218.15/140.69 tff(13004,plain,
% 218.15/140.69 ((~(v112(constB67) <=> (v113(constB67) | v114(constB67)))) | v112(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5399, 13003])).
% 218.15/140.69 tff(13005,plain,
% 218.15/140.69 (v112(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13004, 5382])).
% 218.15/140.69 tff(13006,plain,
% 218.15/140.69 (v112(constB67) | v115(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5397, 13005])).
% 218.15/140.69 tff(13007,plain,
% 218.15/140.69 (v111(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5394, 13006, 5384])).
% 218.15/140.69 tff(13008,plain,
% 218.15/140.69 (v111(constB67) | v116(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5392, 13007])).
% 218.15/140.69 tff(13009,plain,
% 218.15/140.69 ((~(v108(constB67) <=> (v109(constB67) | v118(constB67)))) | (~(v109(constB67) | v118(constB67)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5357, 12994])).
% 218.15/140.69 tff(13010,plain,
% 218.15/140.69 (~(v109(constB67) | v118(constB67))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13009, 5354])).
% 218.15/140.69 tff(13011,plain,
% 218.15/140.69 (~v109(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5360, 13010])).
% 218.15/140.69 tff(13012,plain,
% 218.15/140.69 (~(v110(constB67) | v117(constB67))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5362, 13011, 5352])).
% 218.15/140.69 tff(13013,plain,
% 218.15/140.69 (~v110(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5387, 13012])).
% 218.15/140.69 tff(13014,plain,
% 218.15/140.69 ($false),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5389, 13013, 13008, 5386])).
% 218.15/140.69 tff(13015,plain,((~(v113(constB67) | v114(constB67))) | v108(constB67)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.69 tff(13016,plain,
% 218.15/140.69 (~(v113(constB67) | v114(constB67))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13015, 12994])).
% 218.15/140.69 tff(13017,plain,
% 218.15/140.69 (~v113(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5402, 13016])).
% 218.15/140.69 tff(13018,plain,
% 218.15/140.69 (v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5404, 13017, 5380])).
% 218.15/140.69 tff(13019,plain,
% 218.15/140.69 ((v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))) | v84(constB67, 2)),
% 218.15/140.69 inference(tautology,[status(thm)],[])).
% 218.15/140.69 tff(13020,plain,
% 218.15/140.69 (v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13019, 5465])).
% 218.15/140.69 tff(13021,plain,
% 218.15/140.69 (~v114(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5416, 13016])).
% 218.15/140.69 tff(13022,plain,
% 218.15/140.69 (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5418, 13021, 5415])).
% 218.15/140.69 tff(13023,plain,
% 218.15/140.69 (v84(constB67, 1)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5437, 13022, 13020, 11957, 13018])).
% 218.15/140.69 tff(13024,plain,
% 218.15/140.69 (~v116(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5446, 12999])).
% 218.15/140.69 tff(13025,plain,
% 218.15/140.69 (v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5448, 13024, 5445])).
% 218.15/140.69 tff(13026,plain,
% 218.15/140.69 (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5471, 13025, 5465, 13023])).
% 218.15/140.69 tff(13027,plain,
% 218.15/140.69 ($false),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5460, 13026, 13002, 5457])).
% 218.15/140.69 tff(13028,plain,(v108(constB67) | v84(constB67, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.69 tff(13029,plain,
% 218.15/140.69 (v108(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13028, 5465])).
% 218.15/140.69 tff(13030,plain,
% 218.15/140.69 (v108(constB67) | v119(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5355, 13029])).
% 218.15/140.69 tff(13031,plain,
% 218.15/140.69 (v107(constB67) | (~(v108(constB67) | v119(constB67)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5343, 6199])).
% 218.15/140.69 tff(13032,plain,
% 218.15/140.69 (v107(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13031, 13030])).
% 218.15/140.69 tff(13033,plain,
% 218.15/140.69 (~((~v107(constB67)) | (~v120(constB67)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5341, 13032])).
% 218.15/140.69 tff(13034,plain,
% 218.15/140.69 (v106(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5326, 13033])).
% 218.15/140.69 tff(13035,plain,
% 218.15/140.69 (v105(constB67) | v106(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5321, 13034])).
% 218.15/140.69 tff(13036,plain,
% 218.15/140.69 (v102(constB67)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5319, 13035])).
% 218.15/140.69 tff(13037,plain,
% 218.15/140.69 (v104(constB68)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5314, 13036])).
% 218.15/140.69 tff(13038,plain,
% 218.15/140.69 (~((~v95(constB68)) | (~v104(constB68)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10321, 13037])).
% 218.15/140.69 tff(13039,plain,
% 218.15/140.69 (v94(constB68)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10324, 13038])).
% 218.15/140.69 tff(13040,plain,
% 218.15/140.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10332, 13039])).
% 218.15/140.69 tff(13041,plain,
% 218.15/140.69 (v84(constB68, 1) <=> v123(constB68, 1)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10357, 13040])).
% 218.15/140.69 tff(13042,plain,
% 218.15/140.69 ((~(v121(constB67, 1) <=> v124(constB67, 1))) | (~v121(constB67, 1)) | v124(constB67, 1)),
% 218.15/140.69 inference(tautology,[status(thm)],[])).
% 218.15/140.69 tff(13043,plain,
% 218.15/140.69 ((~v121(constB67, 1)) | v124(constB67, 1)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13042, 11094])).
% 218.15/140.69 tff(13044,plain,
% 218.15/140.69 (~v121(constB67, 1)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13043, 11070])).
% 218.15/140.69 tff(13045,plain,
% 218.15/140.69 ((~(v123(constB68, 1) <=> v121(constB67, 1))) | (~v123(constB68, 1)) | v121(constB67, 1)),
% 218.15/140.69 inference(tautology,[status(thm)],[])).
% 218.15/140.69 tff(13046,plain,
% 218.15/140.69 ((~v123(constB68, 1)) | v121(constB67, 1)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13045, 11108])).
% 218.15/140.69 tff(13047,plain,
% 218.15/140.69 (~v123(constB68, 1)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13046, 13044])).
% 218.15/140.69 tff(13048,plain,
% 218.15/140.69 ((~(v84(constB68, 1) <=> v123(constB68, 1))) | (~v84(constB68, 1)) | v123(constB68, 1)),
% 218.15/140.69 inference(tautology,[status(thm)],[])).
% 218.15/140.69 tff(13049,plain,
% 218.15/140.69 (~v84(constB68, 1)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13048, 13047, 13041])).
% 218.15/140.69 tff(13050,plain,
% 218.15/140.69 ((~(v84(constB69, 1) <=> v84(constB68, 1))) | (~v84(constB69, 1)) | v84(constB68, 1)),
% 218.15/140.69 inference(tautology,[status(thm)],[])).
% 218.15/140.69 tff(13051,plain,
% 218.15/140.69 ((~v84(constB69, 1)) | v84(constB68, 1)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13050, 5542])).
% 218.15/140.69 tff(13052,plain,
% 218.15/140.69 (~v84(constB69, 1)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13051, 13049])).
% 218.15/140.69 tff(13053,plain,
% 218.15/140.69 (v84(constB69, 0)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10611, 10798, 10364, 10593])).
% 218.15/140.69 tff(13054,plain,
% 218.15/140.69 (~(v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10601, 13053, 10364, 10593])).
% 218.15/140.69 tff(13055,plain,
% 218.15/140.69 (v118(constB69)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10599, 13054, 5611])).
% 218.15/140.69 tff(13056,plain,
% 218.15/140.69 (v109(constB69) | v118(constB69)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10597, 13055])).
% 218.15/140.69 tff(13057,plain,
% 218.15/140.69 (v108(constB69)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10439, 13056, 5486])).
% 218.15/140.69 tff(13058,plain,
% 218.15/140.69 (v108(constB69) | v119(constB69)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10441, 13057])).
% 218.15/140.69 tff(13059,plain,
% 218.15/140.69 (v107(constB69)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10443, 13058, 5229])).
% 218.15/140.69 tff(13060,plain,
% 218.15/140.69 (~((~v107(constB69)) | (~v120(constB69)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10451, 13059])).
% 218.15/140.69 tff(13061,plain,
% 218.15/140.69 (v106(constB69)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10454, 13060])).
% 218.15/140.69 tff(13062,plain,
% 218.15/140.69 (v105(constB69) | v106(constB69)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10456, 13061])).
% 218.15/140.69 tff(13063,plain,
% 218.15/140.69 (v102(constB69)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10459, 13062])).
% 218.15/140.69 tff(13064,plain,
% 218.15/140.69 (v104(constB70)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10400, 13063])).
% 218.15/140.69 tff(13065,plain,
% 218.15/140.69 (~((~v95(constB70)) | (~v104(constB70)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10397, 13064])).
% 218.15/140.69 tff(13066,plain,
% 218.15/140.69 (v94(constB70)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10366, 13065])).
% 218.15/140.69 tff(13067,plain,
% 218.15/140.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10470, 13066])).
% 218.15/140.69 tff(13068,plain,
% 218.15/140.69 (v84(constB70, 2) <=> v123(constB70, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10483, 13067])).
% 218.15/140.69 tff(13069,plain,
% 218.15/140.69 (~v123(constB70, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10769, 13068, 10361])).
% 218.15/140.69 tff(13070,plain,
% 218.15/140.69 (~v121(constB69, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10772, 13069])).
% 218.15/140.69 tff(13071,plain,
% 218.15/140.69 (~v124(constB69, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10775, 13070])).
% 218.15/140.69 tff(13072,plain,
% 218.15/140.69 ((~(v124(constB69, 2) <=> b110(2))) | v124(constB69, 2) | (~b110(2))),
% 218.15/140.69 inference(tautology,[status(thm)],[])).
% 218.15/140.69 tff(13073,plain,
% 218.15/140.69 (~(v124(constB69, 2) <=> b110(2))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13072, 1598, 13071])).
% 218.15/140.69 tff(13074,plain,
% 218.15/140.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B))))),
% 218.15/140.69 inference(rewrite,[status(thm)],[])).
% 218.15/140.69 tff(13075,plain,
% 218.15/140.69 (((~v118(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B))))),
% 218.15/140.69 inference(rewrite,[status(thm)],[])).
% 218.15/140.69 tff(13076,plain,
% 218.15/140.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))))),
% 218.15/140.69 inference(monotonicity,[status(thm)],[13075])).
% 218.15/140.69 tff(13077,plain,
% 218.15/140.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B))))),
% 218.15/140.69 inference(transitivity,[status(thm)],[13076, 13074])).
% 218.15/140.69 tff(13078,plain,
% 218.15/140.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB69)) | ![B: $int] : ((v124(constB69, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.15/140.69 inference(quant_inst,[status(thm)],[])).
% 218.15/140.69 tff(13079,plain,
% 218.15/140.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))),
% 218.15/140.69 inference(modus_ponens,[status(thm)],[13078, 13077])).
% 218.15/140.69 tff(13080,plain,
% 218.15/140.69 ((~v118(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13079, 1977])).
% 218.15/140.69 tff(13081,plain,
% 218.15/140.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13080, 13055])).
% 218.15/140.69 tff(13082,plain,
% 218.15/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))) | (v124(constB69, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))) | (v124(constB69, 2) <=> b110(2)))),
% 218.15/140.69 inference(rewrite,[status(thm)],[])).
% 218.15/140.69 tff(13083,plain,
% 218.15/140.69 (($false | $false | (v124(constB69, 2) <=> b110(2))) <=> (v124(constB69, 2) <=> b110(2))),
% 218.15/140.69 inference(rewrite,[status(thm)],[])).
% 218.15/140.69 tff(13084,plain,
% 218.15/140.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b110(2))) <=> ($false | $false | (v124(constB69, 2) <=> b110(2)))),
% 218.15/140.69 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.69 tff(13085,plain,
% 218.15/140.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b110(2))) <=> (v124(constB69, 2) <=> b110(2))),
% 218.15/140.69 inference(transitivity,[status(thm)],[13084, 13083])).
% 218.15/140.69 tff(13086,plain,
% 218.15/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))) | (v124(constB69, 2) <=> b110(2)))),
% 218.15/140.69 inference(monotonicity,[status(thm)],[13085])).
% 218.15/140.69 tff(13087,plain,
% 218.15/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))) | (v124(constB69, 2) <=> b110(2)))),
% 218.15/140.69 inference(transitivity,[status(thm)],[13086, 13082])).
% 218.15/140.69 tff(13088,plain,
% 218.15/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b110(2)))),
% 218.15/140.69 inference(quant_inst,[status(thm)],[])).
% 218.15/140.69 tff(13089,plain,
% 218.15/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b110(B)))) | (v124(constB69, 2) <=> b110(2))),
% 218.15/140.69 inference(modus_ponens,[status(thm)],[13088, 13087])).
% 218.15/140.69 tff(13090,plain,
% 218.15/140.69 ($false),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13089, 13081, 13073])).
% 218.15/140.69 tff(13091,plain,(v84(constB70, 2) | v84(constB69, 1) | (~v84(constB69, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.69 tff(13092,plain,
% 218.15/140.69 (~v84(constB69, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13091, 13052, 10361])).
% 218.15/140.69 tff(13093,plain,
% 218.15/140.69 (v84(constB68, 2) <=> v123(constB68, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10997, 13040])).
% 218.15/140.69 tff(13094,plain,
% 218.15/140.69 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[11911, 11070])).
% 218.15/140.69 tff(13095,plain,
% 218.15/140.69 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[11082, 11070])).
% 218.15/140.69 tff(13096,plain,
% 218.15/140.69 ($false),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[12924, 13095, 13094, 11975, 5423, 5465])).
% 218.15/140.69 tff(13097,plain,(v124(constB67, 1) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B))) | (~(v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2)))) | v84(constB67, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.69 tff(13098,plain,
% 218.15/140.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13097, 11070, 11957, 5465])).
% 218.15/140.69 tff(13099,assumption,(~v124(constB67, 2)), introduced(assumption)).
% 218.15/140.69 tff(13100,plain,
% 218.15/140.69 ((~(v124(constB67, 2) <=> b100(2))) | v124(constB67, 2) | (~b100(2))),
% 218.15/140.69 inference(tautology,[status(thm)],[])).
% 218.15/140.69 tff(13101,plain,
% 218.15/140.69 (~(v124(constB67, 2) <=> b100(2))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13100, 2250, 13099])).
% 218.15/140.69 tff(13102,plain,
% 218.15/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 2) <=> b100(2)))),
% 218.15/140.69 inference(rewrite,[status(thm)],[])).
% 218.15/140.69 tff(13103,plain,
% 218.15/140.69 (($false | $false | (v124(constB67, 2) <=> b100(2))) <=> (v124(constB67, 2) <=> b100(2))),
% 218.15/140.69 inference(rewrite,[status(thm)],[])).
% 218.15/140.69 tff(13104,plain,
% 218.15/140.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b100(2))) <=> ($false | $false | (v124(constB67, 2) <=> b100(2)))),
% 218.15/140.69 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.69 tff(13105,plain,
% 218.15/140.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b100(2))) <=> (v124(constB67, 2) <=> b100(2))),
% 218.15/140.69 inference(transitivity,[status(thm)],[13104, 13103])).
% 218.15/140.69 tff(13106,plain,
% 218.15/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 2) <=> b100(2)))),
% 218.15/140.69 inference(monotonicity,[status(thm)],[13105])).
% 218.15/140.69 tff(13107,plain,
% 218.15/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 2) <=> b100(2)))),
% 218.15/140.69 inference(transitivity,[status(thm)],[13106, 13102])).
% 218.15/140.69 tff(13108,plain,
% 218.15/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b100(2)))),
% 218.15/140.69 inference(quant_inst,[status(thm)],[])).
% 218.15/140.69 tff(13109,plain,
% 218.15/140.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 2) <=> b100(2))),
% 218.15/140.69 inference(modus_ponens,[status(thm)],[13108, 13107])).
% 218.15/140.69 tff(13110,plain,
% 218.15/140.69 ($false),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13109, 12929, 13101])).
% 218.15/140.69 tff(13111,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | v124(constB67, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.69 tff(13112,plain,
% 218.15/140.69 (v124(constB67, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13111, 13098])).
% 218.15/140.69 tff(13113,plain,
% 218.15/140.69 ((~(v121(constB67, 2) <=> v124(constB67, 2))) | v121(constB67, 2) | (~v124(constB67, 2))),
% 218.15/140.69 inference(tautology,[status(thm)],[])).
% 218.15/140.69 tff(13114,plain,
% 218.15/140.69 (v121(constB67, 2) | (~v124(constB67, 2))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13113, 11037])).
% 218.15/140.69 tff(13115,plain,
% 218.15/140.69 (v121(constB67, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13114, 13112])).
% 218.15/140.69 tff(13116,plain,
% 218.15/140.69 ((~(v123(constB68, 2) <=> v121(constB67, 2))) | v123(constB68, 2) | (~v121(constB67, 2))),
% 218.15/140.69 inference(tautology,[status(thm)],[])).
% 218.15/140.69 tff(13117,plain,
% 218.15/140.69 (v123(constB68, 2) | (~v121(constB67, 2))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13116, 11058])).
% 218.15/140.69 tff(13118,plain,
% 218.15/140.69 (v123(constB68, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13117, 13115])).
% 218.15/140.69 tff(13119,plain,
% 218.15/140.69 ((~(v84(constB68, 2) <=> v123(constB68, 2))) | v84(constB68, 2) | (~v123(constB68, 2))),
% 218.15/140.69 inference(tautology,[status(thm)],[])).
% 218.15/140.69 tff(13120,plain,
% 218.15/140.69 (v84(constB68, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13119, 13118, 13093])).
% 218.15/140.69 tff(13121,plain,
% 218.15/140.69 (v84(constB69, 2) | (~v84(constB68, 2))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5519, 11066])).
% 218.15/140.69 tff(13122,plain,
% 218.15/140.69 ($false),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13121, 13120, 13092])).
% 218.15/140.69 tff(13123,plain,(v124(constB67, 1) | v84(constB70, 2) | v84(constB67, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.69 tff(13124,plain,
% 218.15/140.69 (v84(constB70, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13123, 12993, 11070])).
% 218.15/140.69 tff(13125,plain,
% 218.15/140.69 (v84(constB71, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10825, 13124])).
% 218.15/140.69 tff(13126,plain,
% 218.15/140.69 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5690, 13125])).
% 218.15/140.69 tff(13127,plain,
% 218.15/140.69 (~v113(constB69)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[10547, 13124])).
% 218.15/140.69 tff(13128,plain,
% 218.15/140.69 (v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[5377, 12941])).
% 218.15/140.69 tff(13129,plain,
% 218.15/140.69 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13111, 13099])).
% 218.15/140.69 tff(13130,plain,
% 218.15/140.69 (v84(constB67, 2)),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13097, 13129, 11070, 13128])).
% 218.15/140.69 tff(13131,plain,
% 218.15/140.69 ((~(v124(constB67, 2) <=> b110(2))) | v124(constB67, 2) | (~b110(2))),
% 218.15/140.69 inference(tautology,[status(thm)],[])).
% 218.15/140.69 tff(13132,plain,
% 218.15/140.69 (~(v124(constB67, 2) <=> b110(2))),
% 218.15/140.69 inference(unit_resolution,[status(thm)],[13131, 1598, 13099])).
% 218.15/140.69 tff(13133,plain,
% 218.15/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 2) <=> b110(2)))),
% 218.15/140.69 inference(rewrite,[status(thm)],[])).
% 218.15/140.69 tff(13134,plain,
% 218.15/140.69 (($false | $false | (v124(constB67, 2) <=> b110(2))) <=> (v124(constB67, 2) <=> b110(2))),
% 218.15/140.69 inference(rewrite,[status(thm)],[])).
% 218.15/140.69 tff(13135,plain,
% 218.15/140.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b110(2))) <=> ($false | $false | (v124(constB67, 2) <=> b110(2)))),
% 218.15/140.69 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.69 tff(13136,plain,
% 218.15/140.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b110(2))) <=> (v124(constB67, 2) <=> b110(2))),
% 218.15/140.69 inference(transitivity,[status(thm)],[13135, 13134])).
% 218.15/140.69 tff(13137,plain,
% 218.15/140.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 2) <=> b110(2)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[13136])).
% 218.15/140.70 tff(13138,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 2) <=> b110(2)))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13137, 13133])).
% 218.15/140.70 tff(13139,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b110(2)))),
% 218.15/140.70 inference(quant_inst,[status(thm)],[])).
% 218.15/140.70 tff(13140,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 2) <=> b110(2))),
% 218.15/140.70 inference(modus_ponens,[status(thm)],[13139, 13138])).
% 218.15/140.70 tff(13141,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13140, 12944, 13132])).
% 218.15/140.70 tff(13142,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | v124(constB67, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13143,plain,
% 218.15/140.70 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13142, 13099])).
% 218.15/140.70 tff(13144,plain,
% 218.15/140.70 (~v118(constB67)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12965, 13143])).
% 218.15/140.70 tff(13145,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12992, 13144, 13130, 11955, 12941])).
% 218.15/140.70 tff(13146,plain,(v124(constB67, 2) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))) | v117(constB67) | v124(constB67, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13147,plain,
% 218.15/140.70 (v124(constB67, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13146, 11070, 12941, 11955])).
% 218.15/140.70 tff(13148,plain,
% 218.15/140.70 (v121(constB67, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13114, 13147])).
% 218.15/140.70 tff(13149,plain,
% 218.15/140.70 (v123(constB68, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13117, 13148])).
% 218.15/140.70 tff(13150,plain,
% 218.15/140.70 (v84(constB68, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13119, 13149, 11003])).
% 218.15/140.70 tff(13151,plain,
% 218.15/140.70 (v84(constB69, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13121, 13150])).
% 218.15/140.70 tff(13152,plain,
% 218.15/140.70 ((v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))) | (~v84(constB69, 2))),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13153,plain,
% 218.15/140.70 (v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13152, 13151])).
% 218.15/140.70 tff(13154,plain,
% 218.15/140.70 ((~(v114(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))))) | (~v114(constB69))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[5566, 13153])).
% 218.15/140.70 tff(13155,plain,
% 218.15/140.70 (~v114(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13154, 5563])).
% 218.15/140.70 tff(13156,plain,
% 218.15/140.70 (~(v113(constB69) | v114(constB69))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[5569, 13155, 13127])).
% 218.15/140.70 tff(13157,assumption,(v84(constB70, 1)), introduced(assumption)).
% 218.15/140.70 tff(13158,assumption,(~(v113(constB69) | v114(constB69))), introduced(assumption)).
% 218.15/140.70 tff(13159,plain,
% 218.15/140.70 (~v114(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10694, 13158])).
% 218.15/140.70 tff(13160,plain,
% 218.15/140.70 (v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10650, 13159, 5563])).
% 218.15/140.70 tff(13161,plain,
% 218.15/140.70 (v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11830, 10642])).
% 218.15/140.70 tff(13162,plain,
% 218.15/140.70 (~v113(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10420, 13158])).
% 218.15/140.70 tff(13163,plain,
% 218.15/140.70 (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10415, 13162, 5531])).
% 218.15/140.70 tff(13164,plain,
% 218.15/140.70 (v84(constB69, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10614, 13163, 10364, 13161])).
% 218.15/140.70 tff(13165,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10648, 13164, 13160, 10629, 10642])).
% 218.15/140.70 tff(13166,plain,((v113(constB69) | v114(constB69)) | v84(constB69, 2) | v84(constB69, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13167,plain,
% 218.15/140.70 (v84(constB69, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13166, 13052, 13158])).
% 218.15/140.70 tff(13168,plain,
% 218.15/140.70 (v109(constB69) | v118(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10616, 13167, 13052])).
% 218.15/140.70 tff(13169,plain,
% 218.15/140.70 (v108(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10637, 13168])).
% 218.15/140.70 tff(13170,plain,
% 218.15/140.70 (v108(constB69) | v119(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10441, 13169])).
% 218.15/140.70 tff(13171,plain,
% 218.15/140.70 (v107(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10634, 13170])).
% 218.15/140.70 tff(13172,plain,
% 218.15/140.70 (~((~v107(constB69)) | (~v120(constB69)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10451, 13171])).
% 218.15/140.70 tff(13173,plain,
% 218.15/140.70 (v106(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10454, 13172])).
% 218.15/140.70 tff(13174,plain,
% 218.15/140.70 (v105(constB69) | v106(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10456, 13173])).
% 218.15/140.70 tff(13175,plain,
% 218.15/140.70 (v102(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10459, 13174])).
% 218.15/140.70 tff(13176,plain,
% 218.15/140.70 (v104(constB70)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10400, 13175])).
% 218.15/140.70 tff(13177,plain,
% 218.15/140.70 (~((~v95(constB70)) | (~v104(constB70)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10397, 13176])).
% 218.15/140.70 tff(13178,plain,
% 218.15/140.70 (v94(constB70)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10366, 13177])).
% 218.15/140.70 tff(13179,plain,
% 218.15/140.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10470, 13178])).
% 218.15/140.70 tff(13180,plain,
% 218.15/140.70 (v84(constB70, 1) <=> v123(constB70, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11306, 13179])).
% 218.15/140.70 tff(13181,plain,
% 218.15/140.70 (v123(constB70, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11739, 13180, 13157])).
% 218.15/140.70 tff(13182,plain,
% 218.15/140.70 ((~(v123(constB70, 1) <=> v121(constB69, 1))) | v121(constB69, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11741, 13181])).
% 218.15/140.70 tff(13183,plain,
% 218.15/140.70 (v121(constB69, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13182, 11294])).
% 218.15/140.70 tff(13184,plain,
% 218.15/140.70 (v124(constB69, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11745, 13183])).
% 218.15/140.70 tff(13185,plain,
% 218.15/140.70 ((~(v124(constB69, 1) <=> b101(1))) | (~v124(constB69, 1)) | b101(1)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13186,plain,
% 218.15/140.70 (~(v124(constB69, 1) <=> b101(1))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13185, 2330, 13184])).
% 218.15/140.70 tff(13187,plain,
% 218.15/140.70 (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10594, 13167])).
% 218.15/140.70 tff(13188,plain,
% 218.15/140.70 (v84(constB68, 0) <=> v123(constB68, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10345, 13040])).
% 218.15/140.70 tff(13189,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 0) <=> b100(0)))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13190,plain,
% 218.15/140.70 (($false | $false | (v124(constB67, 0) <=> b100(0))) <=> (v124(constB67, 0) <=> b100(0))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13191,plain,
% 218.15/140.70 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b100(0))) <=> ($false | $false | (v124(constB67, 0) <=> b100(0)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[250, 249])).
% 218.15/140.70 tff(13192,plain,
% 218.15/140.70 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b100(0))) <=> (v124(constB67, 0) <=> b100(0))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13191, 13190])).
% 218.15/140.70 tff(13193,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 0) <=> b100(0)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[13192])).
% 218.15/140.70 tff(13194,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 0) <=> b100(0)))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13193, 13189])).
% 218.15/140.70 tff(13195,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b100(0)))),
% 218.15/140.70 inference(quant_inst,[status(thm)],[])).
% 218.15/140.70 tff(13196,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b100(B)))) | (v124(constB67, 0) <=> b100(0))),
% 218.15/140.70 inference(modus_ponens,[status(thm)],[13195, 13194])).
% 218.15/140.70 tff(13197,plain,
% 218.15/140.70 (v124(constB67, 0) <=> b100(0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13196, 13098])).
% 218.15/140.70 tff(13198,plain,
% 218.15/140.70 ((~(v124(constB67, 0) <=> b100(0))) | (~v124(constB67, 0)) | b100(0)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13199,plain,
% 218.15/140.70 ((~(v124(constB67, 0) <=> b100(0))) | (~v124(constB67, 0))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13198, 3674])).
% 218.15/140.70 tff(13200,plain,
% 218.15/140.70 (~v124(constB67, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13199, 13197])).
% 218.15/140.70 tff(13201,plain,
% 218.15/140.70 ((~(v121(constB67, 0) <=> v124(constB67, 0))) | (~v121(constB67, 0))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11149, 13200])).
% 218.15/140.70 tff(13202,plain,
% 218.15/140.70 (~v121(constB67, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13201, 11136])).
% 218.15/140.70 tff(13203,plain,
% 218.15/140.70 ((~(v123(constB68, 0) <=> v121(constB67, 0))) | (~v123(constB68, 0))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11152, 13202])).
% 218.15/140.70 tff(13204,plain,
% 218.15/140.70 (~v123(constB68, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13203, 11127])).
% 218.15/140.70 tff(13205,plain,
% 218.15/140.70 (~v84(constB68, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11155, 13204, 13188])).
% 218.15/140.70 tff(13206,plain,
% 218.15/140.70 ((~(v84(constB69, 0) <=> v84(constB68, 0))) | (~v84(constB69, 0))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11157, 13205])).
% 218.15/140.70 tff(13207,plain,
% 218.15/140.70 (~v84(constB69, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13206, 5274])).
% 218.15/140.70 tff(13208,plain,
% 218.15/140.70 (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10614, 13207, 13052, 13187])).
% 218.15/140.70 tff(13209,plain,
% 218.15/140.70 (v117(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10607, 13208, 5599])).
% 218.15/140.70 tff(13210,plain,
% 218.15/140.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10784, 2090, 13209])).
% 218.15/140.70 tff(13211,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | (v124(constB69, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | (v124(constB69, 1) <=> b101(1)))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13212,plain,
% 218.15/140.70 (($false | $false | (v124(constB69, 1) <=> b101(1))) <=> (v124(constB69, 1) <=> b101(1))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13213,plain,
% 218.15/140.70 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b101(1))) <=> ($false | $false | (v124(constB69, 1) <=> b101(1)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[402, 401])).
% 218.15/140.70 tff(13214,plain,
% 218.15/140.70 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b101(1))) <=> (v124(constB69, 1) <=> b101(1))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13213, 13212])).
% 218.15/140.70 tff(13215,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | (v124(constB69, 1) <=> b101(1)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[13214])).
% 218.15/140.70 tff(13216,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | (v124(constB69, 1) <=> b101(1)))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13215, 13211])).
% 218.15/140.70 tff(13217,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b101(1)))),
% 218.15/140.70 inference(quant_inst,[status(thm)],[])).
% 218.15/140.70 tff(13218,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b101(B)))) | (v124(constB69, 1) <=> b101(1))),
% 218.15/140.70 inference(modus_ponens,[status(thm)],[13217, 13216])).
% 218.15/140.70 tff(13219,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13218, 13210, 13186])).
% 218.15/140.70 tff(13220,plain,(v124(constB67, 1) | (~v84(constB70, 1)) | (v113(constB69) | v114(constB69)) | v84(constB67, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13221,plain,
% 218.15/140.70 (~v84(constB70, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13220, 13156, 11070, 12993])).
% 218.15/140.70 tff(13222,plain,
% 218.15/140.70 (~v84(constB71, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11737, 13221])).
% 218.15/140.70 tff(13223,plain,
% 218.15/140.70 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[5697, 13125])).
% 218.15/140.70 tff(13224,plain,
% 218.15/140.70 (v84(constB71, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[5984, 13222, 5977, 13223])).
% 218.15/140.70 tff(13225,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[6000, 13224, 13222, 5993, 13126])).
% 218.15/140.70 tff(13226,plain,(v124(constB67, 1) | (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))) | (~(v84(constB68, 2) <=> v123(constB68, 2))) | v117(constB67) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13227,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13226, 12940, 11958, 5993, 5977, 11955, 11003])).
% 218.15/140.70 tff(13228,plain,(v84(constB67, 2) | (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0)))) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B))) | (~(v84(constB68, 2) <=> v123(constB68, 2))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13229,plain,
% 218.15/140.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13228, 5465, 5977, 5993, 11954, 11003, 11953])).
% 218.15/140.70 tff(13230,plain,
% 218.15/140.70 (v124(constB67, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13123, 5465, 10361])).
% 218.15/140.70 tff(13231,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12939, 13230, 12925])).
% 218.15/140.70 tff(13232,plain,(v84(constB67, 2) | v84(constB70, 2) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13233,plain,
% 218.15/140.70 (v84(constB70, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13232, 5465, 11954, 11953])).
% 218.15/140.70 tff(13234,plain,
% 218.15/140.70 (v84(constB71, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10825, 13233])).
% 218.15/140.70 tff(13235,plain,
% 218.15/140.70 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[5697, 13234])).
% 218.15/140.70 tff(13236,plain,
% 218.15/140.70 (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[5714, 13234])).
% 218.15/140.70 tff(13237,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))), introduced(assumption)).
% 218.15/140.70 tff(13238,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 1) <=> b001(1)))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13239,plain,
% 218.15/140.70 (($false | $false | (v124(constB67, 1) <=> b001(1))) <=> (v124(constB67, 1) <=> b001(1))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13240,plain,
% 218.15/140.70 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b001(1))) <=> ($false | $false | (v124(constB67, 1) <=> b001(1)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[402, 401])).
% 218.15/140.70 tff(13241,plain,
% 218.15/140.70 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b001(1))) <=> (v124(constB67, 1) <=> b001(1))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13240, 13239])).
% 218.15/140.70 tff(13242,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 1) <=> b001(1)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[13241])).
% 218.15/140.70 tff(13243,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 1) <=> b001(1)))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13242, 13238])).
% 218.15/140.70 tff(13244,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB67, 1) <=> b001(1)))),
% 218.15/140.70 inference(quant_inst,[status(thm)],[])).
% 218.15/140.70 tff(13245,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 1) <=> b001(1))),
% 218.15/140.70 inference(modus_ponens,[status(thm)],[13244, 13243])).
% 218.15/140.70 tff(13246,plain,
% 218.15/140.70 (v124(constB67, 1) <=> b001(1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13245, 13237])).
% 218.15/140.70 tff(13247,plain,
% 218.15/140.70 ((~(v124(constB67, 1) <=> b001(1))) | (~v124(constB67, 1)) | b001(1)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13248,plain,
% 218.15/140.70 ((~(v124(constB67, 1) <=> b001(1))) | (~v124(constB67, 1))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13247, 1885])).
% 218.15/140.70 tff(13249,plain,
% 218.15/140.70 (~v124(constB67, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13248, 13246])).
% 218.15/140.70 tff(13250,plain,
% 218.15/140.70 (~v121(constB67, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13043, 13249])).
% 218.15/140.70 tff(13251,plain,
% 218.15/140.70 (~v123(constB68, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13046, 13250])).
% 218.15/140.70 tff(13252,plain,
% 218.15/140.70 (~v84(constB68, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13048, 13251, 11002])).
% 218.15/140.70 tff(13253,plain,
% 218.15/140.70 (~v84(constB69, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13051, 13252])).
% 218.15/140.70 tff(13254,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 2) <=> b001(2)))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13255,plain,
% 218.15/140.70 (($false | $false | (v124(constB67, 2) <=> b001(2))) <=> (v124(constB67, 2) <=> b001(2))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13256,plain,
% 218.15/140.70 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b001(2))) <=> ($false | $false | (v124(constB67, 2) <=> b001(2)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.70 tff(13257,plain,
% 218.15/140.70 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b001(2))) <=> (v124(constB67, 2) <=> b001(2))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13256, 13255])).
% 218.15/140.70 tff(13258,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 2) <=> b001(2)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[13257])).
% 218.15/140.70 tff(13259,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 2) <=> b001(2)))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13258, 13254])).
% 218.15/140.70 tff(13260,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB67, 2) <=> b001(2)))),
% 218.15/140.70 inference(quant_inst,[status(thm)],[])).
% 218.15/140.70 tff(13261,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 2) <=> b001(2))),
% 218.15/140.70 inference(modus_ponens,[status(thm)],[13260, 13259])).
% 218.15/140.70 tff(13262,plain,
% 218.15/140.70 (v124(constB67, 2) <=> b001(2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13261, 13237])).
% 218.15/140.70 tff(13263,plain,
% 218.15/140.70 ((~(v124(constB67, 2) <=> b001(2))) | (~v124(constB67, 2)) | b001(2)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13264,plain,
% 218.15/140.70 ((~(v124(constB67, 2) <=> b001(2))) | (~v124(constB67, 2))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13263, 1831])).
% 218.15/140.70 tff(13265,plain,
% 218.15/140.70 (~v124(constB67, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13264, 13262])).
% 218.15/140.70 tff(13266,plain,
% 218.15/140.70 (~v121(constB67, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11039, 13265])).
% 218.15/140.70 tff(13267,plain,
% 218.15/140.70 (~v123(constB68, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11060, 13266])).
% 218.15/140.70 tff(13268,plain,
% 218.15/140.70 (~v84(constB68, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11062, 13267, 11003])).
% 218.15/140.70 tff(13269,plain,
% 218.15/140.70 (~v84(constB69, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11068, 13268])).
% 218.15/140.70 tff(13270,plain,
% 218.15/140.70 ((~(v124(constB67, 0) <=> b001(0))) | v124(constB67, 0) | (~b001(0))),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13271,plain,
% 218.15/140.70 (~(v124(constB67, 0) <=> b001(0))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13270, 1940, 11917])).
% 218.15/140.70 tff(13272,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 0) <=> b001(0)))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13273,plain,
% 218.15/140.70 (($false | $false | (v124(constB67, 0) <=> b001(0))) <=> (v124(constB67, 0) <=> b001(0))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13274,plain,
% 218.15/140.70 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b001(0))) <=> ($false | $false | (v124(constB67, 0) <=> b001(0)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[250, 249])).
% 218.15/140.70 tff(13275,plain,
% 218.15/140.70 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b001(0))) <=> (v124(constB67, 0) <=> b001(0))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13274, 13273])).
% 218.15/140.70 tff(13276,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 0) <=> b001(0)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[13275])).
% 218.15/140.70 tff(13277,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 0) <=> b001(0)))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13276, 13272])).
% 218.15/140.70 tff(13278,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b001(0)))),
% 218.15/140.70 inference(quant_inst,[status(thm)],[])).
% 218.15/140.70 tff(13279,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (v124(constB67, 0) <=> b001(0))),
% 218.15/140.70 inference(modus_ponens,[status(thm)],[13278, 13277])).
% 218.15/140.70 tff(13280,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13279, 13237, 13271])).
% 218.15/140.70 tff(13281,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | v124(constB67, 0)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13282,plain,
% 218.15/140.70 (v124(constB67, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13281, 13237])).
% 218.15/140.70 tff(13283,plain,
% 218.15/140.70 ((~(v121(constB67, 0) <=> v124(constB67, 0))) | v121(constB67, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11934, 13282])).
% 218.15/140.70 tff(13284,plain,
% 218.15/140.70 (v121(constB67, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13283, 11136])).
% 218.15/140.70 tff(13285,plain,
% 218.15/140.70 ((~(v123(constB68, 0) <=> v121(constB67, 0))) | v123(constB68, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11940, 13284])).
% 218.15/140.70 tff(13286,plain,
% 218.15/140.70 (v123(constB68, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13285, 11127])).
% 218.15/140.70 tff(13287,plain,
% 218.15/140.70 (v84(constB68, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11943, 13286, 11004])).
% 218.15/140.70 tff(13288,plain,
% 218.15/140.70 ((~(v84(constB69, 0) <=> v84(constB68, 0))) | v84(constB69, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[5478, 13287])).
% 218.15/140.70 tff(13289,plain,
% 218.15/140.70 (v84(constB69, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13288, 5274])).
% 218.15/140.70 tff(13290,plain,
% 218.15/140.70 (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10644, 13289, 13269, 13253])).
% 218.15/140.70 tff(13291,plain,
% 218.15/140.70 (v114(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10650, 13290, 5563])).
% 218.15/140.70 tff(13292,plain,
% 218.15/140.70 (~v84(constB70, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10732, 13291])).
% 218.15/140.70 tff(13293,plain,
% 218.15/140.70 (~v84(constB71, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11217, 13292])).
% 218.15/140.70 tff(13294,plain,
% 218.15/140.70 (v113(constB69) | v114(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13166, 13253, 13269])).
% 218.15/140.70 tff(13295,plain,
% 218.15/140.70 ((~(v112(constB69) <=> (v113(constB69) | v114(constB69)))) | v112(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10422, 13294])).
% 218.15/140.70 tff(13296,plain,
% 218.15/140.70 (v112(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13295, 5529])).
% 218.15/140.70 tff(13297,plain,
% 218.15/140.70 (v112(constB69) | v115(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10425, 13296])).
% 218.15/140.70 tff(13298,plain,
% 218.15/140.70 (v111(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10427, 13297, 5527])).
% 218.15/140.70 tff(13299,plain,
% 218.15/140.70 (v111(constB69) | v116(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10429, 13298])).
% 218.15/140.70 tff(13300,plain,
% 218.15/140.70 (v110(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10431, 13299, 5490])).
% 218.15/140.70 tff(13301,plain,
% 218.15/140.70 (v110(constB69) | v117(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10433, 13300])).
% 218.15/140.70 tff(13302,plain,
% 218.15/140.70 (v109(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10435, 13301, 5488])).
% 218.15/140.70 tff(13303,plain,
% 218.15/140.70 (v109(constB69) | v118(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10437, 13302])).
% 218.15/140.70 tff(13304,plain,
% 218.15/140.70 (v108(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10637, 13303])).
% 218.15/140.70 tff(13305,plain,
% 218.15/140.70 (v108(constB69) | v119(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10441, 13304])).
% 218.15/140.70 tff(13306,plain,
% 218.15/140.70 (v107(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10634, 13305])).
% 218.15/140.70 tff(13307,plain,
% 218.15/140.70 (~((~v107(constB69)) | (~v120(constB69)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10451, 13306])).
% 218.15/140.70 tff(13308,plain,
% 218.15/140.70 (v106(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10454, 13307])).
% 218.15/140.70 tff(13309,plain,
% 218.15/140.70 (v105(constB69) | v106(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10456, 13308])).
% 218.15/140.70 tff(13310,plain,
% 218.15/140.70 (v102(constB69)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10459, 13309])).
% 218.15/140.70 tff(13311,plain,
% 218.15/140.70 (v104(constB70)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10400, 13310])).
% 218.15/140.70 tff(13312,plain,
% 218.15/140.70 (~((~v95(constB70)) | (~v104(constB70)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10397, 13311])).
% 218.15/140.70 tff(13313,plain,
% 218.15/140.70 (v94(constB70)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10366, 13312])).
% 218.15/140.70 tff(13314,plain,
% 218.15/140.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10470, 13313])).
% 218.15/140.70 tff(13315,plain,
% 218.15/140.70 (v84(constB70, 2) <=> v123(constB70, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10483, 13314])).
% 218.15/140.70 tff(13316,plain,
% 218.15/140.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10677, 2418, 13291])).
% 218.15/140.70 tff(13317,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | (v124(constB69, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | (v124(constB69, 2) <=> b010(2)))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13318,plain,
% 218.15/140.70 (($false | $false | (v124(constB69, 2) <=> b010(2))) <=> (v124(constB69, 2) <=> b010(2))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13319,plain,
% 218.15/140.70 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b010(2))) <=> ($false | $false | (v124(constB69, 2) <=> b010(2)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.70 tff(13320,plain,
% 218.15/140.70 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b010(2))) <=> (v124(constB69, 2) <=> b010(2))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13319, 13318])).
% 218.15/140.70 tff(13321,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | (v124(constB69, 2) <=> b010(2)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[13320])).
% 218.15/140.70 tff(13322,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | (v124(constB69, 2) <=> b010(2)))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13321, 13317])).
% 218.15/140.70 tff(13323,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB69, 2) <=> b010(2)))),
% 218.15/140.70 inference(quant_inst,[status(thm)],[])).
% 218.15/140.70 tff(13324,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b010(B)))) | (v124(constB69, 2) <=> b010(2))),
% 218.15/140.70 inference(modus_ponens,[status(thm)],[13323, 13322])).
% 218.15/140.70 tff(13325,plain,
% 218.15/140.70 (v124(constB69, 2) <=> b010(2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13324, 13316])).
% 218.15/140.70 tff(13326,plain,
% 218.15/140.70 ((~(v124(constB69, 2) <=> b010(2))) | (~v124(constB69, 2)) | b010(2)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13327,plain,
% 218.15/140.70 ((~(v124(constB69, 2) <=> b010(2))) | (~v124(constB69, 2))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13326, 2485])).
% 218.15/140.70 tff(13328,plain,
% 218.15/140.70 (~v124(constB69, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13327, 13325])).
% 218.15/140.70 tff(13329,plain,
% 218.15/140.70 (~v121(constB69, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10527, 13328])).
% 218.15/140.70 tff(13330,plain,
% 218.15/140.70 (~v123(constB70, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10506, 13329])).
% 218.15/140.70 tff(13331,plain,
% 218.15/140.70 (~v84(constB70, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[10485, 13330, 13315])).
% 218.15/140.70 tff(13332,plain,
% 218.15/140.70 (~v84(constB71, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[11200, 13331])).
% 218.15/140.70 tff(13333,plain,
% 218.15/140.70 ((v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))) | v84(constB71, 0)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13334,plain,
% 218.15/140.70 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13333, 13293])).
% 218.15/140.70 tff(13335,plain,
% 218.15/140.70 (v84(constB71, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[9877, 13332, 5978, 13334])).
% 218.15/140.70 tff(13336,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[5989, 13335, 13332, 5975, 13293])).
% 218.15/140.70 tff(13337,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b001(B)))) | (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))) | (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))) | (~(v84(constB68, 0) <=> v123(constB68, 0))) | (~(v84(constB68, 1) <=> v123(constB68, 1))) | (~(v84(constB68, 2) <=> v123(constB68, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13338,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13337, 13236, 13235, 11003, 11002, 13229, 11004])).
% 218.15/140.70 tff(13339,plain,(v84(constB67, 2) | (~(v84(constB68, 2) <=> v123(constB68, 2))) | (~(v84(constB68, 1) <=> v123(constB68, 1))) | (~(v84(constB68, 0) <=> v123(constB68, 0))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B))) | (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))) | (~(v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13340,plain,
% 218.15/140.70 (v84(constB67, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13339, 11952, 11713, 10346, 10358, 10998, 11650, 10291])).
% 218.15/140.70 tff(13341,assumption,(~(v84(constB67, 2) <=> v84(constB66, 2))), introduced(assumption)).
% 218.15/140.70 tff(13342,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[7306, 6236, 13341])).
% 218.15/140.70 tff(13343,plain,(v84(constB67, 2) <=> v84(constB66, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13344,plain,
% 218.15/140.70 ((~v84(constB67, 2)) | v84(constB66, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12166, 13343])).
% 218.15/140.70 tff(13345,plain,
% 218.15/140.70 (v84(constB66, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13344, 13340])).
% 218.15/140.70 tff(13346,assumption,(v84(constB66, 2)), introduced(assumption)).
% 218.15/140.70 tff(13347,plain,
% 218.15/140.70 ((v113(constB63) | v114(constB63)) | (~v114(constB63))),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13348,plain,
% 218.15/140.70 (v113(constB63) | v114(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13347, 12586])).
% 218.15/140.70 tff(13349,assumption,(v113(constB63) | v114(constB63)), introduced(assumption)).
% 218.15/140.70 tff(13350,plain,
% 218.15/140.70 ((~(v112(constB63) <=> (v113(constB63) | v114(constB63)))) | v112(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12789, 13349])).
% 218.15/140.70 tff(13351,plain,
% 218.15/140.70 (v112(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13350, 6314])).
% 218.15/140.70 tff(13352,plain,
% 218.15/140.70 (v112(constB63) | v115(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12792, 13351])).
% 218.15/140.70 tff(13353,assumption,(~v110(constB63)), introduced(assumption)).
% 218.15/140.70 tff(13354,plain,
% 218.15/140.70 ((~(v110(constB63) <=> (v111(constB63) | v116(constB63)))) | (~(v111(constB63) | v116(constB63)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12864, 13353])).
% 218.15/140.70 tff(13355,plain,
% 218.15/140.70 (~(v111(constB63) | v116(constB63))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13354, 6310])).
% 218.15/140.70 tff(13356,plain,
% 218.15/140.70 (~v111(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12866, 13355])).
% 218.15/140.70 tff(13357,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12794, 13356, 13352, 6312])).
% 218.15/140.70 tff(13358,plain,((~(v113(constB63) | v114(constB63))) | v110(constB63)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13359,plain,
% 218.15/140.70 (v110(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13358, 13348])).
% 218.15/140.70 tff(13360,plain,
% 218.15/140.70 (v110(constB63) | v117(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12862, 13359])).
% 218.15/140.70 tff(13361,assumption,(~(v109(constB63) <=> (v110(constB63) | v117(constB63)))), introduced(assumption)).
% 218.15/140.70 tff(13362,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[6307, 456, 13361])).
% 218.15/140.70 tff(13363,plain,(v109(constB63) <=> (v110(constB63) | v117(constB63))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13364,plain,
% 218.15/140.70 (v109(constB63) | (~(v110(constB63) | v117(constB63)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12859, 13363])).
% 218.15/140.70 tff(13365,plain,
% 218.15/140.70 (v109(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13364, 13360])).
% 218.15/140.70 tff(13366,plain,
% 218.15/140.70 (v109(constB63) | v118(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12857, 13365])).
% 218.15/140.70 tff(13367,assumption,(~(v108(constB63) <=> (v109(constB63) | v118(constB63)))), introduced(assumption)).
% 218.15/140.70 tff(13368,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[6305, 428, 13367])).
% 218.15/140.70 tff(13369,plain,(v108(constB63) <=> (v109(constB63) | v118(constB63))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13370,plain,
% 218.15/140.70 (v108(constB63) | (~(v109(constB63) | v118(constB63)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12854, 13369])).
% 218.15/140.70 tff(13371,plain,
% 218.15/140.70 (v108(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13370, 13366])).
% 218.15/140.70 tff(13372,plain,
% 218.15/140.70 (v108(constB63) | v119(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12852, 13371])).
% 218.15/140.70 tff(13373,assumption,(~(v107(constB63) <=> (v108(constB63) | v119(constB63)))), introduced(assumption)).
% 218.15/140.70 tff(13374,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[6303, 187, 13373])).
% 218.15/140.70 tff(13375,plain,(v107(constB63) <=> (v108(constB63) | v119(constB63))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13376,plain,
% 218.15/140.70 (v107(constB63) | (~(v108(constB63) | v119(constB63)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12849, 13375])).
% 218.15/140.70 tff(13377,plain,
% 218.15/140.70 (v107(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13376, 13372])).
% 218.15/140.70 tff(13378,plain,
% 218.15/140.70 (~((~v107(constB63)) | (~v120(constB63)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12847, 13377])).
% 218.15/140.70 tff(13379,plain,
% 218.15/140.70 (v106(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12839, 13378])).
% 218.15/140.70 tff(13380,plain,
% 218.15/140.70 (v105(constB63) | v106(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12836, 13379])).
% 218.15/140.70 tff(13381,plain,
% 218.15/140.70 (v102(constB63)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12834, 13380])).
% 218.15/140.70 tff(13382,plain,
% 218.15/140.70 (v104(constB64)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12831, 13381])).
% 218.15/140.70 tff(13383,plain,
% 218.15/140.70 (~((~v95(constB64)) | (~v104(constB64)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12828, 13382])).
% 218.15/140.70 tff(13384,plain,
% 218.15/140.70 (v94(constB64)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12797, 13383])).
% 218.15/140.70 tff(13385,plain,
% 218.15/140.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12770, 13384])).
% 218.15/140.70 tff(13386,plain,
% 218.15/140.70 (v84(constB64, 1) <=> v123(constB64, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12559, 13385])).
% 218.15/140.70 tff(13387,plain,
% 218.15/140.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12594, 12586])).
% 218.15/140.70 tff(13388,plain,
% 218.15/140.70 (v124(constB63, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12583, 13387])).
% 218.15/140.70 tff(13389,assumption,(~(v121(constB63, 1) <=> v124(constB63, 1))), introduced(assumption)).
% 218.15/140.70 tff(13390,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12541, 12487, 13389])).
% 218.15/140.70 tff(13391,plain,(v121(constB63, 1) <=> v124(constB63, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13392,plain,
% 218.15/140.70 (v121(constB63, 1) | (~v124(constB63, 1))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12567, 13391])).
% 218.15/140.70 tff(13393,plain,
% 218.15/140.70 (v121(constB63, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13392, 13388])).
% 218.15/140.70 tff(13394,assumption,(~(v123(constB64, 1) <=> v121(constB63, 1))), introduced(assumption)).
% 218.15/140.70 tff(13395,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12550, 12503, 13394])).
% 218.15/140.70 tff(13396,plain,(v123(constB64, 1) <=> v121(constB63, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13397,plain,
% 218.15/140.70 (v123(constB64, 1) | (~v121(constB63, 1))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12564, 13396])).
% 218.15/140.70 tff(13398,plain,
% 218.15/140.70 (v123(constB64, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13397, 13393])).
% 218.15/140.70 tff(13399,plain,
% 218.15/140.70 ((~(v84(constB64, 1) <=> v123(constB64, 1))) | v84(constB64, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12561, 13398])).
% 218.15/140.70 tff(13400,plain,
% 218.15/140.70 (v84(constB64, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13399, 13386])).
% 218.15/140.70 tff(13401,plain,
% 218.15/140.70 ((~(v84(constB65, 1) <=> v84(constB64, 1))) | v84(constB65, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[7025, 13400])).
% 218.15/140.70 tff(13402,plain,
% 218.15/140.70 (v84(constB65, 1)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13401, 6302])).
% 218.15/140.70 tff(13403,assumption,(v124(constB63, 2)), introduced(assumption)).
% 218.15/140.70 tff(13404,plain,
% 218.15/140.70 ((~(v124(constB63, 2) <=> b010(2))) | (~v124(constB63, 2)) | b010(2)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13405,plain,
% 218.15/140.70 (~(v124(constB63, 2) <=> b010(2))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13404, 2485, 13403])).
% 218.15/140.70 tff(13406,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 2) <=> b010(2)))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13407,plain,
% 218.15/140.70 (($false | $false | (v124(constB63, 2) <=> b010(2))) <=> (v124(constB63, 2) <=> b010(2))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13408,plain,
% 218.15/140.70 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b010(2))) <=> ($false | $false | (v124(constB63, 2) <=> b010(2)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.70 tff(13409,plain,
% 218.15/140.70 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b010(2))) <=> (v124(constB63, 2) <=> b010(2))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13408, 13407])).
% 218.15/140.70 tff(13410,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 2) <=> b010(2)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[13409])).
% 218.15/140.70 tff(13411,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 2) <=> b010(2)))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13410, 13406])).
% 218.15/140.70 tff(13412,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b010(2)))),
% 218.15/140.70 inference(quant_inst,[status(thm)],[])).
% 218.15/140.70 tff(13413,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 2) <=> b010(2))),
% 218.15/140.70 inference(modus_ponens,[status(thm)],[13412, 13411])).
% 218.15/140.70 tff(13414,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13413, 12573, 13405])).
% 218.15/140.70 tff(13415,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (~v124(constB63, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13416,plain,
% 218.15/140.70 (~v124(constB63, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13415, 13387])).
% 218.15/140.70 tff(13417,assumption,(~(v121(constB63, 2) <=> v124(constB63, 2))), introduced(assumption)).
% 218.15/140.70 tff(13418,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12495, 12487, 13417])).
% 218.15/140.70 tff(13419,plain,(v121(constB63, 2) <=> v124(constB63, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13420,plain,
% 218.15/140.70 ((~(v121(constB63, 2) <=> v124(constB63, 2))) | (~v121(constB63, 2)) | v124(constB63, 2)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13421,plain,
% 218.15/140.70 ((~v121(constB63, 2)) | v124(constB63, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13420, 13419])).
% 218.15/140.70 tff(13422,plain,
% 218.15/140.70 (~v121(constB63, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13421, 13416])).
% 218.15/140.70 tff(13423,assumption,(~(v123(constB64, 2) <=> v121(constB63, 2))), introduced(assumption)).
% 218.15/140.70 tff(13424,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12511, 12503, 13423])).
% 218.15/140.70 tff(13425,plain,(v123(constB64, 2) <=> v121(constB63, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13426,plain,
% 218.15/140.70 ((~(v123(constB64, 2) <=> v121(constB63, 2))) | (~v123(constB64, 2)) | v121(constB63, 2)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13427,plain,
% 218.15/140.70 ((~v123(constB64, 2)) | v121(constB63, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13426, 13425])).
% 218.15/140.70 tff(13428,plain,
% 218.15/140.70 (~v123(constB64, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13427, 13422])).
% 218.15/140.70 tff(13429,assumption,(~(v84(constB64, 2) <=> v123(constB64, 2))), introduced(assumption)).
% 218.15/140.70 tff(13430,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12521, 12513, 13429])).
% 218.15/140.70 tff(13431,plain,((v84(constB64, 2) <=> v123(constB64, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13432,plain,
% 218.15/140.70 (v84(constB64, 2) <=> v123(constB64, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13431, 13385])).
% 218.15/140.70 tff(13433,plain,
% 218.15/140.70 ((~(v84(constB64, 2) <=> v123(constB64, 2))) | (~v84(constB64, 2)) | v123(constB64, 2)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13434,plain,
% 218.15/140.70 (~v84(constB64, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13433, 13432, 13428])).
% 218.15/140.70 tff(13435,assumption,(~(v84(constB65, 2) <=> v84(constB64, 2))), introduced(assumption)).
% 218.15/140.70 tff(13436,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[7100, 6293, 13435])).
% 218.15/140.70 tff(13437,plain,(v84(constB65, 2) <=> v84(constB64, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13438,plain,
% 218.15/140.70 ((~v84(constB65, 2)) | v84(constB64, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[7149, 13437])).
% 218.15/140.70 tff(13439,plain,
% 218.15/140.70 (~v84(constB65, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13438, 13434])).
% 218.15/140.70 tff(13440,plain,
% 218.15/140.70 (v84(constB64, 0) <=> v123(constB64, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12621, 13385])).
% 218.15/140.70 tff(13441,assumption,(v124(constB63, 0)), introduced(assumption)).
% 218.15/140.70 tff(13442,plain,
% 218.15/140.70 ((~(v124(constB63, 0) <=> b010(0))) | (~v124(constB63, 0)) | b010(0)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13443,plain,
% 218.15/140.70 (~(v124(constB63, 0) <=> b010(0))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13442, 2437, 13441])).
% 218.15/140.70 tff(13444,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 0) <=> b010(0)))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13445,plain,
% 218.15/140.70 (($false | $false | (v124(constB63, 0) <=> b010(0))) <=> (v124(constB63, 0) <=> b010(0))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13446,plain,
% 218.15/140.70 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b010(0))) <=> ($false | $false | (v124(constB63, 0) <=> b010(0)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[250, 249])).
% 218.15/140.70 tff(13447,plain,
% 218.15/140.70 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b010(0))) <=> (v124(constB63, 0) <=> b010(0))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13446, 13445])).
% 218.15/140.70 tff(13448,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 0) <=> b010(0)))),
% 218.15/140.70 inference(monotonicity,[status(thm)],[13447])).
% 218.15/140.70 tff(13449,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 0) <=> b010(0)))),
% 218.15/140.70 inference(transitivity,[status(thm)],[13448, 13444])).
% 218.15/140.70 tff(13450,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b010(0)))),
% 218.15/140.70 inference(quant_inst,[status(thm)],[])).
% 218.15/140.70 tff(13451,plain,
% 218.15/140.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (v124(constB63, 0) <=> b010(0))),
% 218.15/140.70 inference(modus_ponens,[status(thm)],[13450, 13449])).
% 218.15/140.70 tff(13452,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13451, 12573, 13443])).
% 218.15/140.70 tff(13453,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b010(B)))) | (~v124(constB63, 0))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13454,plain,
% 218.15/140.70 (~v124(constB63, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13453, 13387])).
% 218.15/140.70 tff(13455,assumption,(~(v121(constB63, 0) <=> v124(constB63, 0))), introduced(assumption)).
% 218.15/140.70 tff(13456,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12603, 12487, 13455])).
% 218.15/140.70 tff(13457,plain,(v121(constB63, 0) <=> v124(constB63, 0)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13458,plain,
% 218.15/140.70 ((~(v121(constB63, 0) <=> v124(constB63, 0))) | (~v121(constB63, 0)) | v124(constB63, 0)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13459,plain,
% 218.15/140.70 ((~v121(constB63, 0)) | v124(constB63, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13458, 13457])).
% 218.15/140.70 tff(13460,plain,
% 218.15/140.70 (~v121(constB63, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13459, 13454])).
% 218.15/140.70 tff(13461,assumption,(~(v123(constB64, 0) <=> v121(constB63, 0))), introduced(assumption)).
% 218.15/140.70 tff(13462,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12612, 12503, 13461])).
% 218.15/140.70 tff(13463,plain,(v123(constB64, 0) <=> v121(constB63, 0)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13464,plain,
% 218.15/140.70 ((~(v123(constB64, 0) <=> v121(constB63, 0))) | (~v123(constB64, 0)) | v121(constB63, 0)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13465,plain,
% 218.15/140.70 ((~v123(constB64, 0)) | v121(constB63, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13464, 13463])).
% 218.15/140.70 tff(13466,plain,
% 218.15/140.70 (~v123(constB64, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13465, 13460])).
% 218.15/140.70 tff(13467,plain,
% 218.15/140.70 ((~(v84(constB64, 0) <=> v123(constB64, 0))) | (~v84(constB64, 0)) | v123(constB64, 0)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13468,plain,
% 218.15/140.70 ((~(v84(constB64, 0) <=> v123(constB64, 0))) | (~v84(constB64, 0))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13467, 13466])).
% 218.15/140.70 tff(13469,plain,
% 218.15/140.70 (~v84(constB64, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13468, 13440])).
% 218.15/140.70 tff(13470,plain,
% 218.15/140.70 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | (~v84(constB65, 0)) | v84(constB64, 0)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13471,plain,
% 218.15/140.70 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | (~v84(constB65, 0))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13470, 13469])).
% 218.15/140.70 tff(13472,plain,
% 218.15/140.70 (~v84(constB65, 0)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13471, 7043])).
% 218.15/140.70 tff(13473,plain,
% 218.15/140.70 (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12113, 13472, 13439, 13402])).
% 218.15/140.70 tff(13474,assumption,(~(v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))))), introduced(assumption)).
% 218.15/140.70 tff(13475,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[7074, 622, 13474])).
% 218.15/140.70 tff(13476,plain,(v115(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13477,plain,
% 218.15/140.70 (v115(constB65) | (v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12096, 13476])).
% 218.15/140.70 tff(13478,plain,
% 218.15/140.70 (v115(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13477, 13473])).
% 218.15/140.70 tff(13479,plain,
% 218.15/140.70 (v112(constB65) | v115(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12094, 13478])).
% 218.15/140.70 tff(13480,plain,
% 218.15/140.70 (v111(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12071, 13479, 6255])).
% 218.15/140.70 tff(13481,plain,
% 218.15/140.70 (v111(constB65) | v116(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12069, 13480])).
% 218.15/140.70 tff(13482,plain,
% 218.15/140.70 (v110(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12066, 13481, 6253])).
% 218.15/140.70 tff(13483,plain,
% 218.15/140.70 (v110(constB65) | v117(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12064, 13482])).
% 218.15/140.70 tff(13484,plain,
% 218.15/140.70 (v109(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12051, 13483, 6251])).
% 218.15/140.70 tff(13485,plain,
% 218.15/140.70 (v109(constB65) | v118(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12049, 13484])).
% 218.15/140.70 tff(13486,plain,
% 218.15/140.70 (v108(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12046, 13485, 6249])).
% 218.15/140.70 tff(13487,plain,
% 218.15/140.70 (v108(constB65) | v119(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12044, 13486])).
% 218.15/140.70 tff(13488,plain,
% 218.15/140.70 (v107(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12041, 13487, 6247])).
% 218.15/140.70 tff(13489,plain,
% 218.15/140.70 (~((~v107(constB65)) | (~v120(constB65)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12216, 13488])).
% 218.15/140.70 tff(13490,plain,
% 218.15/140.70 (v106(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12219, 13489])).
% 218.15/140.70 tff(13491,plain,
% 218.15/140.70 (v105(constB65) | v106(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12221, 13490])).
% 218.15/140.70 tff(13492,plain,
% 218.15/140.70 (v102(constB65)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12224, 13491])).
% 218.15/140.70 tff(13493,plain,
% 218.15/140.70 (v104(constB66)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12227, 13492])).
% 218.15/140.70 tff(13494,plain,
% 218.15/140.70 (~((~v95(constB66)) | (~v104(constB66)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12258, 13493])).
% 218.15/140.70 tff(13495,plain,
% 218.15/140.70 (v94(constB66)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12261, 13494])).
% 218.15/140.70 tff(13496,plain,
% 218.15/140.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12269, 13495])).
% 218.15/140.70 tff(13497,assumption,(~(v84(constB66, 2) <=> v123(constB66, 2))), introduced(assumption)).
% 218.15/140.70 tff(13498,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))), introduced(assumption)).
% 218.15/140.70 tff(13499,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12278, 13498, 13497])).
% 218.15/140.70 tff(13500,plain,((v84(constB66, 2) <=> v123(constB66, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13501,plain,
% 218.15/140.70 (v84(constB66, 2) <=> v123(constB66, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13500, 13496])).
% 218.15/140.70 tff(13502,plain,
% 218.15/140.70 ((~(v84(constB66, 2) <=> v123(constB66, 2))) | (~v84(constB66, 2)) | v123(constB66, 2)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13503,plain,
% 218.15/140.70 (v123(constB66, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13502, 13501, 13346])).
% 218.15/140.70 tff(13504,assumption,(~(v123(constB66, 2) <=> v121(constB65, 2))), introduced(assumption)).
% 218.15/140.70 tff(13505,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12016, 12008, 13504])).
% 218.15/140.70 tff(13506,plain,(v123(constB66, 2) <=> v121(constB65, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13507,plain,
% 218.15/140.70 ((~(v123(constB66, 2) <=> v121(constB65, 2))) | (~v123(constB66, 2)) | v121(constB65, 2)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13508,plain,
% 218.15/140.70 ((~v123(constB66, 2)) | v121(constB65, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13507, 13506])).
% 218.15/140.70 tff(13509,plain,
% 218.15/140.70 (v121(constB65, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13508, 13503])).
% 218.15/140.70 tff(13510,assumption,(~(v121(constB65, 2) <=> v124(constB65, 2))), introduced(assumption)).
% 218.15/140.70 tff(13511,plain,
% 218.15/140.70 ($false),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12000, 11992, 13510])).
% 218.15/140.70 tff(13512,plain,(v121(constB65, 2) <=> v124(constB65, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.70 tff(13513,plain,
% 218.15/140.70 ((~(v121(constB65, 2) <=> v124(constB65, 2))) | (~v121(constB65, 2)) | v124(constB65, 2)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13514,plain,
% 218.15/140.70 ((~v121(constB65, 2)) | v124(constB65, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13513, 13512])).
% 218.15/140.70 tff(13515,plain,
% 218.15/140.70 (v124(constB65, 2)),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13514, 13509])).
% 218.15/140.70 tff(13516,plain,
% 218.15/140.70 ((~(v124(constB65, 2) <=> b011(2))) | (~v124(constB65, 2)) | b011(2)),
% 218.15/140.70 inference(tautology,[status(thm)],[])).
% 218.15/140.70 tff(13517,plain,
% 218.15/140.70 (~(v124(constB65, 2) <=> b011(2))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[13516, 2569, 13515])).
% 218.15/140.70 tff(13518,plain,
% 218.15/140.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))),
% 218.15/140.70 inference(unit_resolution,[status(thm)],[12439, 13478])).
% 218.15/140.70 tff(13519,plain,
% 218.15/140.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | (v124(constB65, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | (v124(constB65, 2) <=> b011(2)))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13520,plain,
% 218.15/140.70 (($false | $false | (v124(constB65, 2) <=> b011(2))) <=> (v124(constB65, 2) <=> b011(2))),
% 218.15/140.70 inference(rewrite,[status(thm)],[])).
% 218.15/140.70 tff(13521,plain,
% 218.15/140.71 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b011(2))) <=> ($false | $false | (v124(constB65, 2) <=> b011(2)))),
% 218.15/140.71 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.71 tff(13522,plain,
% 218.15/140.71 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b011(2))) <=> (v124(constB65, 2) <=> b011(2))),
% 218.15/140.71 inference(transitivity,[status(thm)],[13521, 13520])).
% 218.15/140.71 tff(13523,plain,
% 218.15/140.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | (v124(constB65, 2) <=> b011(2)))),
% 218.15/140.71 inference(monotonicity,[status(thm)],[13522])).
% 218.15/140.71 tff(13524,plain,
% 218.15/140.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | (v124(constB65, 2) <=> b011(2)))),
% 218.15/140.71 inference(transitivity,[status(thm)],[13523, 13519])).
% 218.15/140.71 tff(13525,plain,
% 218.15/140.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b011(2)))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13526,plain,
% 218.15/140.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))) | (v124(constB65, 2) <=> b011(2))),
% 218.15/140.71 inference(modus_ponens,[status(thm)],[13525, 13524])).
% 218.15/140.71 tff(13527,plain,
% 218.15/140.71 ($false),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13526, 13518, 13517])).
% 218.15/140.71 tff(13528,plain,((~v114(constB63)) | (~v84(constB66, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.71 tff(13529,plain,
% 218.15/140.71 (~v114(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13528, 13345])).
% 218.15/140.71 tff(13530,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB66) <=> (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB66) <=> (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2)))))),
% 218.15/140.71 inference(rewrite,[status(thm)],[])).
% 218.15/140.71 tff(13531,plain,
% 218.15/140.71 ((v116(constB66) <=> (~(v84(constB66, 2) | (~v84(constB66, 1)) | (~v84(constB66, 0))))) <=> (v116(constB66) <=> (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2))))),
% 218.15/140.71 inference(rewrite,[status(thm)],[])).
% 218.15/140.71 tff(13532,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB66) <=> (~(v84(constB66, 2) | (~v84(constB66, 1)) | (~v84(constB66, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB66) <=> (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2)))))),
% 218.15/140.71 inference(monotonicity,[status(thm)],[13531])).
% 218.15/140.71 tff(13533,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB66) <=> (~(v84(constB66, 2) | (~v84(constB66, 1)) | (~v84(constB66, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB66) <=> (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2)))))),
% 218.15/140.71 inference(transitivity,[status(thm)],[13532, 13530])).
% 218.15/140.71 tff(13534,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB66) <=> (~(v84(constB66, 2) | (~v84(constB66, 1)) | (~v84(constB66, 0)))))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13535,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB66) <=> (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2))))),
% 218.15/140.71 inference(modus_ponens,[status(thm)],[13534, 13533])).
% 218.15/140.71 tff(13536,plain,
% 218.15/140.71 (v116(constB66) <=> (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13535, 521])).
% 218.15/140.71 tff(13537,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB66) <=> (v111(constB66) | v116(constB66)))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13538,plain,
% 218.15/140.71 (v110(constB66) <=> (v111(constB66) | v116(constB66))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13537, 265])).
% 218.15/140.71 tff(13539,assumption,(~(v108(constB66) | v119(constB66))), introduced(assumption)).
% 218.15/140.71 tff(13540,plain,
% 218.15/140.71 ((v108(constB66) | v119(constB66)) | (~v108(constB66))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13541,plain,
% 218.15/140.71 (~v108(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13540, 13539])).
% 218.15/140.71 tff(13542,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB66) <=> (v110(constB66) | v117(constB66)))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13543,plain,
% 218.15/140.71 (v109(constB66) <=> (v110(constB66) | v117(constB66))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13542, 456])).
% 218.15/140.71 tff(13544,assumption,(v110(constB66) | v117(constB66)), introduced(assumption)).
% 218.15/140.71 tff(13545,plain,
% 218.15/140.71 ((~(v109(constB66) <=> (v110(constB66) | v117(constB66)))) | v109(constB66) | (~(v110(constB66) | v117(constB66)))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13546,plain,
% 218.15/140.71 ((~(v109(constB66) <=> (v110(constB66) | v117(constB66)))) | v109(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13545, 13544])).
% 218.15/140.71 tff(13547,plain,
% 218.15/140.71 (v109(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13546, 13543])).
% 218.15/140.71 tff(13548,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB66) <=> (v109(constB66) | v118(constB66)))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13549,plain,
% 218.15/140.71 (v108(constB66) <=> (v109(constB66) | v118(constB66))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13548, 428])).
% 218.15/140.71 tff(13550,assumption,(~v108(constB66)), introduced(assumption)).
% 218.15/140.71 tff(13551,plain,
% 218.15/140.71 ((~(v108(constB66) <=> (v109(constB66) | v118(constB66)))) | v108(constB66) | (~(v109(constB66) | v118(constB66)))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13552,plain,
% 218.15/140.71 ((~(v108(constB66) <=> (v109(constB66) | v118(constB66)))) | (~(v109(constB66) | v118(constB66)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13551, 13550])).
% 218.15/140.71 tff(13553,plain,
% 218.15/140.71 (~(v109(constB66) | v118(constB66))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13552, 13549])).
% 218.15/140.71 tff(13554,plain,
% 218.15/140.71 ((v109(constB66) | v118(constB66)) | (~v109(constB66))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13555,plain,
% 218.15/140.71 ($false),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13554, 13553, 13547])).
% 218.15/140.71 tff(13556,plain,((~(v110(constB66) | v117(constB66))) | v108(constB66)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.71 tff(13557,plain,
% 218.15/140.71 (~(v110(constB66) | v117(constB66))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13556, 13541])).
% 218.15/140.71 tff(13558,plain,
% 218.15/140.71 ((v110(constB66) | v117(constB66)) | (~v110(constB66))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13559,plain,
% 218.15/140.71 (~v110(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13558, 13557])).
% 218.15/140.71 tff(13560,plain,
% 218.15/140.71 ((~(v110(constB66) <=> (v111(constB66) | v116(constB66)))) | v110(constB66) | (~(v111(constB66) | v116(constB66)))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13561,plain,
% 218.15/140.71 ((~(v110(constB66) <=> (v111(constB66) | v116(constB66)))) | (~(v111(constB66) | v116(constB66)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13560, 13559])).
% 218.15/140.71 tff(13562,plain,
% 218.15/140.71 (~(v111(constB66) | v116(constB66))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13561, 13538])).
% 218.15/140.71 tff(13563,plain,
% 218.15/140.71 ((v111(constB66) | v116(constB66)) | (~v116(constB66))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13564,plain,
% 218.15/140.71 (~v116(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13563, 13562])).
% 218.15/140.71 tff(13565,plain,
% 218.15/140.71 ((~(v116(constB66) <=> (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2))))) | v116(constB66) | ((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13566,plain,
% 218.15/140.71 ((~(v116(constB66) <=> (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2))))) | ((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13565, 13564])).
% 218.15/140.71 tff(13567,plain,
% 218.15/140.71 ((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13566, 13536])).
% 218.15/140.71 tff(13568,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2)))))),
% 218.15/140.71 inference(rewrite,[status(thm)],[])).
% 218.15/140.71 tff(13569,plain,
% 218.15/140.71 ((v115(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 2) | (~v84(constB66, 1))))) <=> (v115(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2))))),
% 218.15/140.71 inference(rewrite,[status(thm)],[])).
% 218.15/140.71 tff(13570,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 2) | (~v84(constB66, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2)))))),
% 218.15/140.71 inference(monotonicity,[status(thm)],[13569])).
% 218.15/140.71 tff(13571,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 2) | (~v84(constB66, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2)))))),
% 218.15/140.71 inference(transitivity,[status(thm)],[13570, 13568])).
% 218.15/140.71 tff(13572,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 2) | (~v84(constB66, 1)))))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13573,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2))))),
% 218.15/140.71 inference(modus_ponens,[status(thm)],[13572, 13571])).
% 218.15/140.71 tff(13574,plain,
% 218.15/140.71 (v115(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13573, 622])).
% 218.15/140.71 tff(13575,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB66) <=> (v112(constB66) | v115(constB66)))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13576,plain,
% 218.15/140.71 (v111(constB66) <=> (v112(constB66) | v115(constB66))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13575, 274])).
% 218.15/140.71 tff(13577,plain,
% 218.15/140.71 ((v111(constB66) | v116(constB66)) | (~v111(constB66))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13578,plain,
% 218.15/140.71 (~v111(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13577, 13562])).
% 218.15/140.71 tff(13579,plain,
% 218.15/140.71 ((~(v111(constB66) <=> (v112(constB66) | v115(constB66)))) | v111(constB66) | (~(v112(constB66) | v115(constB66)))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13580,plain,
% 218.15/140.71 ((~(v111(constB66) <=> (v112(constB66) | v115(constB66)))) | (~(v112(constB66) | v115(constB66)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13579, 13578])).
% 218.15/140.71 tff(13581,plain,
% 218.15/140.71 (~(v112(constB66) | v115(constB66))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13580, 13576])).
% 218.15/140.71 tff(13582,plain,
% 218.15/140.71 ((v112(constB66) | v115(constB66)) | (~v115(constB66))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13583,plain,
% 218.15/140.71 (~v115(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13582, 13581])).
% 218.15/140.71 tff(13584,plain,
% 218.15/140.71 ((~(v115(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2))))) | v115(constB66) | (v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13585,plain,
% 218.15/140.71 ((~(v115(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2))))) | (v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13584, 13583])).
% 218.15/140.71 tff(13586,plain,
% 218.15/140.71 (v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13585, 13574])).
% 218.15/140.71 tff(13587,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2)))))),
% 218.15/140.71 inference(rewrite,[status(thm)],[])).
% 218.15/140.71 tff(13588,plain,
% 218.15/140.71 ((v114(constB66) <=> (~(v84(constB66, 1) | v84(constB66, 2) | (~v84(constB66, 0))))) <=> (v114(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2))))),
% 218.15/140.71 inference(rewrite,[status(thm)],[])).
% 218.15/140.71 tff(13589,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB66) <=> (~(v84(constB66, 1) | v84(constB66, 2) | (~v84(constB66, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2)))))),
% 218.15/140.71 inference(monotonicity,[status(thm)],[13588])).
% 218.15/140.71 tff(13590,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB66) <=> (~(v84(constB66, 1) | v84(constB66, 2) | (~v84(constB66, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2)))))),
% 218.15/140.71 inference(transitivity,[status(thm)],[13589, 13587])).
% 218.15/140.71 tff(13591,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB66) <=> (~(v84(constB66, 1) | v84(constB66, 2) | (~v84(constB66, 0)))))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13592,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2))))),
% 218.15/140.71 inference(modus_ponens,[status(thm)],[13591, 13590])).
% 218.15/140.71 tff(13593,plain,
% 218.15/140.71 (v114(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13592, 298])).
% 218.15/140.71 tff(13594,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB66) <=> (v113(constB66) | v114(constB66)))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13595,plain,
% 218.15/140.71 (v112(constB66) <=> (v113(constB66) | v114(constB66))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13594, 283])).
% 218.15/140.71 tff(13596,plain,
% 218.15/140.71 ((v112(constB66) | v115(constB66)) | (~v112(constB66))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13597,plain,
% 218.15/140.71 (~v112(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13596, 13581])).
% 218.15/140.71 tff(13598,plain,
% 218.15/140.71 ((~(v112(constB66) <=> (v113(constB66) | v114(constB66)))) | v112(constB66) | (~(v113(constB66) | v114(constB66)))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13599,plain,
% 218.15/140.71 ((~(v112(constB66) <=> (v113(constB66) | v114(constB66)))) | (~(v113(constB66) | v114(constB66)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13598, 13597])).
% 218.15/140.71 tff(13600,plain,
% 218.15/140.71 (~(v113(constB66) | v114(constB66))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13599, 13595])).
% 218.15/140.71 tff(13601,plain,
% 218.15/140.71 ((v113(constB66) | v114(constB66)) | (~v114(constB66))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13602,plain,
% 218.15/140.71 (~v114(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13601, 13600])).
% 218.15/140.71 tff(13603,plain,
% 218.15/140.71 ((~(v114(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2))))) | v114(constB66) | ((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13604,plain,
% 218.15/140.71 ((~(v114(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2))))) | ((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13603, 13602])).
% 218.15/140.71 tff(13605,plain,
% 218.15/140.71 ((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13604, 13593])).
% 218.15/140.71 tff(13606,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2)))))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13607,plain,
% 218.15/140.71 (v117(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2))))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13606, 656])).
% 218.15/140.71 tff(13608,plain,
% 218.15/140.71 ((v110(constB66) | v117(constB66)) | (~v117(constB66))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13609,plain,
% 218.15/140.71 (~v117(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13608, 13557])).
% 218.15/140.71 tff(13610,plain,
% 218.15/140.71 ((~(v117(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2)))))) | v117(constB66) | (v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2)))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13611,plain,
% 218.15/140.71 ((~(v117(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2)))))) | (v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13610, 13609])).
% 218.15/140.71 tff(13612,plain,
% 218.15/140.71 (v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13611, 13607])).
% 218.15/140.71 tff(13613,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2))))))),
% 218.15/140.71 inference(rewrite,[status(thm)],[])).
% 218.15/140.71 tff(13614,plain,
% 218.15/140.71 ((v118(constB66) <=> (~(v84(constB66, 1) | (~v84(constB66, 0)) | (~v84(constB66, 2))))) <=> (v118(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2)))))),
% 218.15/140.71 inference(rewrite,[status(thm)],[])).
% 218.15/140.71 tff(13615,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB66) <=> (~(v84(constB66, 1) | (~v84(constB66, 0)) | (~v84(constB66, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2))))))),
% 218.15/140.71 inference(monotonicity,[status(thm)],[13614])).
% 218.15/140.71 tff(13616,plain,
% 218.15/140.71 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB66) <=> (~(v84(constB66, 1) | (~v84(constB66, 0)) | (~v84(constB66, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2))))))),
% 218.15/140.71 inference(transitivity,[status(thm)],[13615, 13613])).
% 218.15/140.71 tff(13617,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB66) <=> (~(v84(constB66, 1) | (~v84(constB66, 0)) | (~v84(constB66, 2)))))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13618,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2)))))),
% 218.15/140.71 inference(modus_ponens,[status(thm)],[13617, 13616])).
% 218.15/140.71 tff(13619,plain,
% 218.15/140.71 (v118(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2))))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13618, 394])).
% 218.15/140.71 tff(13620,plain,
% 218.15/140.71 ((~(v108(constB66) <=> (v109(constB66) | v118(constB66)))) | (~(v109(constB66) | v118(constB66)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13551, 13541])).
% 218.15/140.71 tff(13621,plain,
% 218.15/140.71 (~(v109(constB66) | v118(constB66))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13620, 13549])).
% 218.15/140.71 tff(13622,plain,
% 218.15/140.71 ((v109(constB66) | v118(constB66)) | (~v118(constB66))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13623,plain,
% 218.15/140.71 (~v118(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13622, 13621])).
% 218.15/140.71 tff(13624,plain,
% 218.15/140.71 ((~(v118(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2)))))) | v118(constB66) | ((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2)))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13625,plain,
% 218.15/140.71 ((~(v118(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2)))))) | ((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13624, 13623])).
% 218.15/140.71 tff(13626,plain,
% 218.15/140.71 ((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13625, 13619])).
% 218.15/140.71 tff(13627,assumption,((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2))), introduced(assumption)).
% 218.15/140.71 tff(13628,assumption,((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2)), introduced(assumption)).
% 218.15/140.71 tff(13629,plain,
% 218.15/140.71 (v84(constB67, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12919, 5465, 5422])).
% 218.15/140.71 tff(13630,plain,
% 218.15/140.71 ((~(v84(constB67, 0) <=> v84(constB66, 0))) | (~v84(constB67, 0)) | v84(constB66, 0)),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13631,plain,
% 218.15/140.71 ((~(v84(constB67, 0) <=> v84(constB66, 0))) | v84(constB66, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13630, 13629])).
% 218.15/140.71 tff(13632,plain,
% 218.15/140.71 (v84(constB66, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13631, 7273])).
% 218.15/140.71 tff(13633,plain,
% 218.15/140.71 ((~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2))) | (~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2)),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13634,plain,
% 218.15/140.71 ($false),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13633, 12321, 12281, 13632, 13628])).
% 218.15/140.71 tff(13635,plain,(v84(constB67, 2) | (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2))) | v84(constB67, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.71 tff(13636,plain,
% 218.15/140.71 (v84(constB67, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13635, 5422, 13628])).
% 218.15/140.71 tff(13637,plain,
% 218.15/140.71 ((~(v84(constB67, 2) <=> v84(constB66, 2))) | v84(constB66, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12166, 13636])).
% 218.15/140.71 tff(13638,plain,
% 218.15/140.71 (v84(constB66, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13637, 7307])).
% 218.15/140.71 tff(13639,assumption,(v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2))), introduced(assumption)).
% 218.15/140.71 tff(13640,plain,
% 218.15/140.71 ((~(v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2)))) | v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13641,plain,
% 218.15/140.71 (v84(constB66, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13640, 12321, 13638, 13639])).
% 218.15/140.71 tff(13642,plain,
% 218.15/140.71 ((~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2)))) | (~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13643,plain,
% 218.15/140.71 ($false),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13642, 13641, 12321, 13638, 13627])).
% 218.15/140.71 tff(13644,plain,(v84(constB67, 1) | (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2)))) | (~(v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2)))) | (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.71 tff(13645,plain,
% 218.15/140.71 (v84(constB67, 1)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13644, 13626, 13612, 13605])).
% 218.15/140.71 tff(13646,plain,
% 218.15/140.71 ((~(v84(constB67, 1) <=> v84(constB66, 1))) | (~v84(constB67, 1)) | v84(constB66, 1)),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13647,plain,
% 218.15/140.71 ((~(v84(constB67, 1) <=> v84(constB66, 1))) | v84(constB66, 1)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13646, 13645])).
% 218.15/140.71 tff(13648,plain,
% 218.15/140.71 (v84(constB66, 1)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13647, 6245])).
% 218.15/140.71 tff(13649,assumption,(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2)), introduced(assumption)).
% 218.15/140.71 tff(13650,assumption,(v84(constB66, 1)), introduced(assumption)).
% 218.15/140.71 tff(13651,assumption,(~v84(constB66, 2)), introduced(assumption)).
% 218.15/140.71 tff(13652,assumption,((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2)), introduced(assumption)).
% 218.15/140.71 tff(13653,plain,
% 218.15/140.71 ((~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2))) | (~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2)),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13654,plain,
% 218.15/140.71 (~v84(constB66, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13653, 13651, 13650, 13652])).
% 218.15/140.71 tff(13655,plain,
% 218.15/140.71 ((~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2))) | v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2)),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13656,plain,
% 218.15/140.71 ($false),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13655, 13654, 13651, 13650, 13649])).
% 218.15/140.71 tff(13657,plain,(v84(constB66, 2) | (~v84(constB66, 1)) | (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2))) | (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.71 tff(13658,plain,
% 218.15/140.71 (v84(constB66, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13657, 13648, 13586, 13567])).
% 218.15/140.71 tff(13659,plain,
% 218.15/140.71 ((~(v84(constB67, 2) <=> v84(constB66, 2))) | v84(constB67, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7320, 13658])).
% 218.15/140.71 tff(13660,plain,
% 218.15/140.71 (v84(constB67, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13659, 7307])).
% 218.15/140.71 tff(13661,plain,
% 218.15/140.71 (v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7333, 13660])).
% 218.15/140.71 tff(13662,plain,
% 218.15/140.71 (~v116(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7335, 13661, 5445])).
% 218.15/140.71 tff(13663,plain,
% 218.15/140.71 (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7260, 13645])).
% 218.15/140.71 tff(13664,plain,
% 218.15/140.71 ((~(v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))))) | (~v114(constB67))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7262, 13663])).
% 218.15/140.71 tff(13665,plain,
% 218.15/140.71 (~v114(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13664, 5415])).
% 218.15/140.71 tff(13666,plain,
% 218.15/140.71 ((v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)) | (~v84(constB67, 1))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13667,plain,
% 218.15/140.71 (v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13666, 13645])).
% 218.15/140.71 tff(13668,plain,
% 218.15/140.71 ((~(v113(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))))) | (~v113(constB67))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7291, 13667])).
% 218.15/140.71 tff(13669,plain,
% 218.15/140.71 (~v113(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13668, 5380])).
% 218.15/140.71 tff(13670,plain,
% 218.15/140.71 (~(v113(constB67) | v114(constB67))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7294, 13669, 13665])).
% 218.15/140.71 tff(13671,plain,
% 218.15/140.71 ((~(v112(constB67) <=> (v113(constB67) | v114(constB67)))) | (~v112(constB67))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7296, 13670])).
% 218.15/140.71 tff(13672,plain,
% 218.15/140.71 (~v112(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13671, 5382])).
% 218.15/140.71 tff(13673,plain,
% 218.15/140.71 (v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7323, 13660])).
% 218.15/140.71 tff(13674,plain,
% 218.15/140.71 (~v115(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7325, 13673, 5457])).
% 218.15/140.71 tff(13675,plain,
% 218.15/140.71 (~(v112(constB67) | v115(constB67))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7328, 13674, 13672])).
% 218.15/140.71 tff(13676,plain,
% 218.15/140.71 (~v111(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7331, 13675, 5384])).
% 218.15/140.71 tff(13677,plain,
% 218.15/140.71 (~(v111(constB67) | v116(constB67))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7338, 13676, 13662])).
% 218.15/140.71 tff(13678,plain,
% 218.15/140.71 (~v110(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7370, 13677, 5386])).
% 218.15/140.71 tff(13679,plain,
% 218.15/140.71 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2)))))),
% 218.15/140.71 inference(quant_inst,[status(thm)],[])).
% 218.15/140.71 tff(13680,plain,
% 218.15/140.71 (v119(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2))))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13679, 318])).
% 218.15/140.71 tff(13681,plain,
% 218.15/140.71 ((v108(constB66) | v119(constB66)) | (~v119(constB66))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13682,plain,
% 218.15/140.71 (~v119(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13681, 13539])).
% 218.15/140.71 tff(13683,plain,
% 218.15/140.71 ((~(v119(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2)))))) | v119(constB66) | (v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2)))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13684,plain,
% 218.15/140.71 ((~(v119(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2)))))) | (v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13683, 13682])).
% 218.15/140.71 tff(13685,plain,
% 218.15/140.71 (v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13684, 13680])).
% 218.15/140.71 tff(13686,plain,
% 218.15/140.71 ((~(v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2)))) | v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13687,plain,
% 218.15/140.71 (v84(constB66, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13686, 13658, 13648, 13685])).
% 218.15/140.71 tff(13688,plain,
% 218.15/140.71 ((~(v84(constB67, 0) <=> v84(constB66, 0))) | v84(constB67, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7286, 13687])).
% 218.15/140.71 tff(13689,plain,
% 218.15/140.71 (v84(constB67, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13688, 7273])).
% 218.15/140.71 tff(13690,plain,
% 218.15/140.71 (v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7342, 13689])).
% 218.15/140.71 tff(13691,plain,
% 218.15/140.71 (~v119(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7344, 13690, 5306])).
% 218.15/140.71 tff(13692,plain,
% 218.15/140.71 (v108(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7347, 13691, 7341])).
% 218.15/140.71 tff(13693,plain,
% 218.15/140.71 (v109(constB67) | v118(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7349, 13692, 5354])).
% 218.15/140.71 tff(13694,plain,
% 218.15/140.71 (v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7352, 13645])).
% 218.15/140.71 tff(13695,plain,
% 218.15/140.71 ((~(v118(constB67) <=> (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))))) | (~v118(constB67))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7354, 13694])).
% 218.15/140.71 tff(13696,plain,
% 218.15/140.71 (~v118(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13695, 5408])).
% 218.15/140.71 tff(13697,plain,
% 218.15/140.71 ((~(v109(constB67) | v118(constB67))) | v109(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7357, 13696])).
% 218.15/140.71 tff(13698,plain,
% 218.15/140.71 (v109(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13697, 13693])).
% 218.15/140.71 tff(13699,plain,
% 218.15/140.71 (v110(constB67) | v117(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7360, 13698, 5352])).
% 218.15/140.71 tff(13700,plain,
% 218.15/140.71 (v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12179, 13645])).
% 218.15/140.71 tff(13701,plain,
% 218.15/140.71 (~v117(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7365, 13700])).
% 218.15/140.71 tff(13702,plain,
% 218.15/140.71 ((~(v110(constB67) | v117(constB67))) | v110(constB67)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7367, 13701])).
% 218.15/140.71 tff(13703,plain,
% 218.15/140.71 ($false),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13702, 13699, 13678])).
% 218.15/140.71 tff(13704,plain,((v108(constB66) | v119(constB66)) | (~(v108(constB67) | v119(constB67)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.71 tff(13705,plain,
% 218.15/140.71 (v108(constB66) | v119(constB66)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13704, 6202])).
% 218.15/140.71 tff(13706,assumption,(~v102(constB63)), introduced(assumption)).
% 218.15/140.71 tff(13707,plain,
% 218.15/140.71 (~v104(constB64)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[6994, 13706])).
% 218.15/140.71 tff(13708,plain,
% 218.15/140.71 ((~v95(constB64)) | (~v104(constB64))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[6996, 13707])).
% 218.15/140.71 tff(13709,plain,
% 218.15/140.71 (~v94(constB64)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7003, 13708])).
% 218.15/140.71 tff(13710,plain,
% 218.15/140.71 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7011, 13709])).
% 218.15/140.71 tff(13711,assumption,(v108(constB66) | v119(constB66)), introduced(assumption)).
% 218.15/140.71 tff(13712,assumption,(~v94(constB64)), introduced(assumption)).
% 218.15/140.71 tff(13713,plain,
% 218.15/140.71 ((~v95(constB64)) | (~v104(constB64))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12797, 13712])).
% 218.15/140.71 tff(13714,plain,
% 218.15/140.71 (~v104(constB64)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12828, 13713])).
% 218.15/140.71 tff(13715,plain,
% 218.15/140.71 (~v102(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12831, 13714])).
% 218.15/140.71 tff(13716,plain,
% 218.15/140.71 (~(v105(constB63) | v106(constB63))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12834, 13715])).
% 218.15/140.71 tff(13717,plain,
% 218.15/140.71 (~v106(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12836, 13716])).
% 218.15/140.71 tff(13718,plain,
% 218.15/140.71 ((~v107(constB63)) | (~v120(constB63))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12839, 13717])).
% 218.15/140.71 tff(13719,plain,
% 218.15/140.71 (~v107(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12847, 13718])).
% 218.15/140.71 tff(13720,plain,
% 218.15/140.71 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7011, 13712])).
% 218.15/140.71 tff(13721,plain,
% 218.15/140.71 (v84(constB64, 0) <=> v84(constB63, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7051, 13720])).
% 218.15/140.71 tff(13722,plain,
% 218.15/140.71 ((~(v107(constB63) <=> (v108(constB63) | v119(constB63)))) | (~(v108(constB63) | v119(constB63)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12849, 13719])).
% 218.15/140.71 tff(13723,plain,
% 218.15/140.71 (~(v108(constB63) | v119(constB63))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13722, 6304])).
% 218.15/140.71 tff(13724,plain,
% 218.15/140.71 ((v108(constB63) | v119(constB63)) | (~v119(constB63))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13725,plain,
% 218.15/140.71 (~v119(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13724, 13723])).
% 218.15/140.71 tff(13726,plain,
% 218.15/140.71 ((~(v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))))) | v119(constB63) | (v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13727,plain,
% 218.15/140.71 ((~(v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))))) | (v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13726, 13725])).
% 218.15/140.71 tff(13728,plain,
% 218.15/140.71 (v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13727, 6929])).
% 218.15/140.71 tff(13729,plain,
% 218.15/140.71 (~v108(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12852, 13723])).
% 218.15/140.71 tff(13730,plain,
% 218.15/140.71 ((~(v108(constB63) <=> (v109(constB63) | v118(constB63)))) | (~(v109(constB63) | v118(constB63)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12854, 13729])).
% 218.15/140.71 tff(13731,plain,
% 218.15/140.71 (~(v109(constB63) | v118(constB63))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13730, 6306])).
% 218.15/140.71 tff(13732,plain,
% 218.15/140.71 (~v109(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12857, 13731])).
% 218.15/140.71 tff(13733,plain,
% 218.15/140.71 ((~(v109(constB63) <=> (v110(constB63) | v117(constB63)))) | (~(v110(constB63) | v117(constB63)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12859, 13732])).
% 218.15/140.71 tff(13734,plain,
% 218.15/140.71 (~(v110(constB63) | v117(constB63))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13733, 6308])).
% 218.15/140.71 tff(13735,plain,
% 218.15/140.71 (~v110(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12862, 13734])).
% 218.15/140.71 tff(13736,plain,
% 218.15/140.71 ((~(v110(constB63) <=> (v111(constB63) | v116(constB63)))) | (~(v111(constB63) | v116(constB63)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12864, 13735])).
% 218.15/140.71 tff(13737,plain,
% 218.15/140.71 (~(v111(constB63) | v116(constB63))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13736, 6310])).
% 218.15/140.71 tff(13738,plain,
% 218.15/140.71 (~v111(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12866, 13737])).
% 218.15/140.71 tff(13739,plain,
% 218.15/140.71 ((~(v111(constB63) <=> (v112(constB63) | v115(constB63)))) | (~(v112(constB63) | v115(constB63)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12794, 13738])).
% 218.15/140.71 tff(13740,plain,
% 218.15/140.71 (~(v112(constB63) | v115(constB63))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13739, 6312])).
% 218.15/140.71 tff(13741,plain,
% 218.15/140.71 (~v112(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12792, 13740])).
% 218.15/140.71 tff(13742,plain,
% 218.15/140.71 ((~(v112(constB63) <=> (v113(constB63) | v114(constB63)))) | (~(v113(constB63) | v114(constB63)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12789, 13741])).
% 218.15/140.71 tff(13743,plain,
% 218.15/140.71 (~(v113(constB63) | v114(constB63))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13742, 6314])).
% 218.15/140.71 tff(13744,plain,
% 218.15/140.71 (~v113(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12787, 13743])).
% 218.15/140.71 tff(13745,plain,
% 218.15/140.71 ((~(v113(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))))) | (v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12784, 13744])).
% 218.15/140.71 tff(13746,plain,
% 218.15/140.71 (v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13745, 6825])).
% 218.15/140.71 tff(13747,plain,
% 218.15/140.71 (v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7157, 13720, 7129])).
% 218.15/140.71 tff(13748,plain,
% 218.15/140.71 ((v109(constB63) | v118(constB63)) | (~v118(constB63))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13749,plain,
% 218.15/140.71 (~v118(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13748, 13731])).
% 218.15/140.71 tff(13750,plain,
% 218.15/140.71 ((~(v118(constB63) <=> (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))))) | v118(constB63) | (v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13751,plain,
% 218.15/140.71 ((~(v118(constB63) <=> (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))))) | (v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13750, 13749])).
% 218.15/140.71 tff(13752,plain,
% 218.15/140.71 (v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13751, 6912])).
% 218.15/140.71 tff(13753,assumption,(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2))), introduced(assumption)).
% 218.15/140.71 tff(13754,assumption,(~v84(constB63, 1)), introduced(assumption)).
% 218.15/140.71 tff(13755,assumption,(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)), introduced(assumption)).
% 218.15/140.71 tff(13756,plain,
% 218.15/140.71 ((~(v84(constB65, 2) <=> v84(constB64, 2))) | (~v84(constB64, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7114, 12100])).
% 218.15/140.71 tff(13757,plain,
% 218.15/140.71 (~v84(constB64, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13756, 7101])).
% 218.15/140.71 tff(13758,plain,
% 218.15/140.71 ((~(v84(constB64, 2) <=> v84(constB63, 2))) | (~v84(constB63, 2))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7111, 13757])).
% 218.15/140.71 tff(13759,plain,
% 218.15/140.71 (~v84(constB63, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13758, 7146])).
% 218.15/140.71 tff(13760,plain,
% 218.15/140.71 ((~(v84(constB64, 1) <=> v84(constB63, 1))) | (~v84(constB64, 1)) | v84(constB63, 1)),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13761,plain,
% 218.15/140.71 ((~(v84(constB64, 1) <=> v84(constB63, 1))) | (~v84(constB64, 1))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13760, 13754])).
% 218.15/140.71 tff(13762,plain,
% 218.15/140.71 (~v84(constB64, 1)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13761, 7139])).
% 218.15/140.71 tff(13763,plain,
% 218.15/140.71 ((~(v84(constB65, 1) <=> v84(constB64, 1))) | (~v84(constB65, 1)) | v84(constB64, 1)),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13764,plain,
% 218.15/140.71 ((~(v84(constB65, 1) <=> v84(constB64, 1))) | (~v84(constB65, 1))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13763, 13762])).
% 218.15/140.71 tff(13765,plain,
% 218.15/140.71 (~v84(constB65, 1)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13764, 6302])).
% 218.15/140.71 tff(13766,plain,
% 218.15/140.71 (~v84(constB65, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12104, 12100, 13765, 12101])).
% 218.15/140.71 tff(13767,plain,
% 218.15/140.71 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | (~v84(constB64, 0))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7056, 13766])).
% 218.15/140.71 tff(13768,plain,
% 218.15/140.71 (~v84(constB64, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13767, 7043])).
% 218.15/140.71 tff(13769,plain,
% 218.15/140.71 ((~(v84(constB64, 0) <=> v84(constB63, 0))) | (~v84(constB63, 0))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7053, 13768])).
% 218.15/140.71 tff(13770,plain,
% 218.15/140.71 (~v84(constB63, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13769, 7131])).
% 218.15/140.71 tff(13771,plain,
% 218.15/140.71 ($false),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12782, 13770, 13759, 13754, 13755])).
% 218.15/140.71 tff(13772,plain,(v84(constB65, 2) | v84(constB63, 1) | (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.71 tff(13773,plain,
% 218.15/140.71 (v84(constB65, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13772, 13754, 13755, 7130, 12101])).
% 218.15/140.71 tff(13774,plain,
% 218.15/140.71 ((~(v84(constB65, 2) <=> v84(constB64, 2))) | v84(constB64, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7149, 13773])).
% 218.15/140.71 tff(13775,plain,
% 218.15/140.71 (v84(constB64, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13774, 7101])).
% 218.15/140.71 tff(13776,plain,
% 218.15/140.71 ((~(v84(constB64, 2) <=> v84(constB63, 2))) | v84(constB63, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[7152, 13775])).
% 218.15/140.71 tff(13777,plain,
% 218.15/140.71 (v84(constB63, 2)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13776, 7146])).
% 218.15/140.71 tff(13778,plain,
% 218.15/140.71 (v84(constB65, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[12121, 13773, 13765, 12120])).
% 218.15/140.71 tff(13779,plain,
% 218.15/140.71 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | v84(constB64, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13470, 13778])).
% 218.15/140.71 tff(13780,plain,
% 218.15/140.71 (v84(constB64, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13779, 7043])).
% 218.15/140.71 tff(13781,plain,
% 218.15/140.71 ((~(v84(constB64, 0) <=> v84(constB63, 0))) | (~v84(constB64, 0)) | v84(constB63, 0)),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13782,plain,
% 218.15/140.71 ((~(v84(constB64, 0) <=> v84(constB63, 0))) | v84(constB63, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13781, 13780])).
% 218.15/140.71 tff(13783,plain,
% 218.15/140.71 (v84(constB63, 0)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13782, 7131])).
% 218.15/140.71 tff(13784,plain,
% 218.15/140.71 ((~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))) | v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13785,plain,
% 218.15/140.71 ($false),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13784, 13783, 13777, 13754, 13753])).
% 218.15/140.71 tff(13786,plain,(v84(constB63, 1) | (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B)))) | (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))) | (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.71 tff(13787,plain,
% 218.15/140.71 (v84(constB63, 1)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13786, 13752, 13720, 13747, 13746, 12101])).
% 218.15/140.71 tff(13788,plain,
% 218.15/140.71 ((v111(constB63) | v116(constB63)) | (~v116(constB63))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13789,plain,
% 218.15/140.71 (~v116(constB63)),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13788, 13737])).
% 218.15/140.71 tff(13790,plain,
% 218.15/140.71 ((~(v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))))) | v116(constB63) | (v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))),
% 218.15/140.71 inference(tautology,[status(thm)],[])).
% 218.15/140.71 tff(13791,plain,
% 218.15/140.71 ((~(v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))))) | (v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))),
% 218.15/140.71 inference(unit_resolution,[status(thm)],[13790, 13789])).
% 218.15/140.71 tff(13792,plain,
% 218.15/140.71 (v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13791, 6883])).
% 218.15/140.72 tff(13793,plain,
% 218.15/140.72 ((v112(constB63) | v115(constB63)) | (~v115(constB63))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13794,plain,
% 218.15/140.72 (~v115(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13793, 13740])).
% 218.15/140.72 tff(13795,plain,
% 218.15/140.72 ((~(v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))))) | v115(constB63) | (v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13796,plain,
% 218.15/140.72 ((~(v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))))) | (v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13795, 13794])).
% 218.15/140.72 tff(13797,plain,
% 218.15/140.72 (v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13796, 6842])).
% 218.15/140.72 tff(13798,assumption,(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))), introduced(assumption)).
% 218.15/140.72 tff(13799,assumption,(v84(constB63, 1)), introduced(assumption)).
% 218.15/140.72 tff(13800,assumption,(~v84(constB63, 2)), introduced(assumption)).
% 218.15/140.72 tff(13801,assumption,(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))), introduced(assumption)).
% 218.15/140.72 tff(13802,plain,
% 218.15/140.72 ((~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))) | v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13803,plain,
% 218.15/140.72 (~v84(constB63, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13802, 13800, 13799, 13801])).
% 218.15/140.72 tff(13804,plain,
% 218.15/140.72 ((~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))) | v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13805,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13804, 13803, 13800, 13799, 13798])).
% 218.15/140.72 tff(13806,plain,(v84(constB63, 2) | (~v84(constB63, 1)) | (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))) | (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(13807,plain,
% 218.15/140.72 (v84(constB63, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13806, 13787, 13797, 13792])).
% 218.15/140.72 tff(13808,plain,
% 218.15/140.72 ((~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))) | v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13809,plain,
% 218.15/140.72 (v84(constB63, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13808, 13807, 13787, 13728])).
% 218.15/140.72 tff(13810,plain,
% 218.15/140.72 ((~(v84(constB64, 0) <=> v84(constB63, 0))) | v84(constB64, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7053, 13809])).
% 218.15/140.72 tff(13811,plain,
% 218.15/140.72 (v84(constB64, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13810, 13721])).
% 218.15/140.72 tff(13812,plain,
% 218.15/140.72 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | v84(constB65, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7056, 13811])).
% 218.15/140.72 tff(13813,plain,
% 218.15/140.72 (v84(constB65, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13812, 7043])).
% 218.15/140.72 tff(13814,plain,
% 218.15/140.72 (v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7186, 13813])).
% 218.15/140.72 tff(13815,plain,
% 218.15/140.72 (~v119(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7188, 13814, 7185])).
% 218.15/140.72 tff(13816,plain,
% 218.15/140.72 (v84(constB64, 2) <=> v84(constB63, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7109, 13720])).
% 218.15/140.72 tff(13817,plain,
% 218.15/140.72 ((~(v84(constB64, 2) <=> v84(constB63, 2))) | v84(constB64, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7111, 13807])).
% 218.15/140.72 tff(13818,plain,
% 218.15/140.72 (v84(constB64, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13817, 13816])).
% 218.15/140.72 tff(13819,plain,
% 218.15/140.72 ((~(v84(constB65, 2) <=> v84(constB64, 2))) | v84(constB65, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7114, 13818])).
% 218.15/140.72 tff(13820,plain,
% 218.15/140.72 (v84(constB65, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13819, 7101])).
% 218.15/140.72 tff(13821,plain,
% 218.15/140.72 ((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7117, 13820])).
% 218.15/140.72 tff(13822,plain,
% 218.15/140.72 (~v116(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7119, 13821, 7092])).
% 218.15/140.72 tff(13823,plain,
% 218.15/140.72 ((~(v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))))) | (~v114(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7030, 12101])).
% 218.15/140.72 tff(13824,plain,
% 218.15/140.72 (~v114(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13823, 6259])).
% 218.15/140.72 tff(13825,plain,
% 218.15/140.72 (v84(constB64, 1) <=> v84(constB63, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7020, 13720])).
% 218.15/140.72 tff(13826,plain,
% 218.15/140.72 ((~(v84(constB64, 1) <=> v84(constB63, 1))) | v84(constB64, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7022, 13787])).
% 218.15/140.72 tff(13827,plain,
% 218.15/140.72 (v84(constB64, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13826, 13825])).
% 218.15/140.72 tff(13828,plain,
% 218.15/140.72 ((~(v84(constB65, 1) <=> v84(constB64, 1))) | v84(constB65, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7025, 13827])).
% 218.15/140.72 tff(13829,plain,
% 218.15/140.72 (v84(constB65, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13828, 6302])).
% 218.15/140.72 tff(13830,plain,
% 218.15/140.72 (v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12471, 13829])).
% 218.15/140.72 tff(13831,plain,
% 218.15/140.72 ((~(v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))))) | (~v113(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7061, 13830])).
% 218.15/140.72 tff(13832,plain,
% 218.15/140.72 (~v113(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13831, 7034])).
% 218.15/140.72 tff(13833,plain,
% 218.15/140.72 (~(v113(constB65) | v114(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7064, 13832, 13824])).
% 218.15/140.72 tff(13834,plain,
% 218.15/140.72 ((~(v112(constB65) <=> (v113(constB65) | v114(constB65)))) | (~v112(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7066, 13833])).
% 218.15/140.72 tff(13835,plain,
% 218.15/140.72 (~v112(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13834, 6257])).
% 218.15/140.72 tff(13836,plain,
% 218.15/140.72 ((v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)) | (~v84(constB65, 2))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13837,plain,
% 218.15/140.72 (v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13836, 13820])).
% 218.15/140.72 tff(13838,plain,
% 218.15/140.72 (~v115(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7078, 13837, 7075])).
% 218.15/140.72 tff(13839,plain,
% 218.15/140.72 (~(v112(constB65) | v115(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7081, 13838, 13835])).
% 218.15/140.72 tff(13840,plain,
% 218.15/140.72 (~v111(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7084, 13839, 6255])).
% 218.15/140.72 tff(13841,plain,
% 218.15/140.72 (~(v111(constB65) | v116(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7122, 13840, 13822])).
% 218.15/140.72 tff(13842,plain,
% 218.15/140.72 (~v110(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7125, 13841, 6253])).
% 218.15/140.72 tff(13843,plain,
% 218.15/140.72 ((~(v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))))) | (~v117(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7159, 13747])).
% 218.15/140.72 tff(13844,plain,
% 218.15/140.72 (~v117(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13843, 7128])).
% 218.15/140.72 tff(13845,plain,
% 218.15/140.72 ((~(v110(constB65) | v117(constB65))) | v110(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7162, 13844])).
% 218.15/140.72 tff(13846,plain,
% 218.15/140.72 (~(v110(constB65) | v117(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13845, 13842])).
% 218.15/140.72 tff(13847,plain,
% 218.15/140.72 (~v109(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7165, 13846, 6251])).
% 218.15/140.72 tff(13848,plain,
% 218.15/140.72 (v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7174, 13829])).
% 218.15/140.72 tff(13849,plain,
% 218.15/140.72 ((~(v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))) | (~v118(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7176, 13848])).
% 218.15/140.72 tff(13850,plain,
% 218.15/140.72 (~v118(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13849, 7173])).
% 218.15/140.72 tff(13851,plain,
% 218.15/140.72 ((~(v109(constB65) | v118(constB65))) | v109(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7179, 13850])).
% 218.15/140.72 tff(13852,plain,
% 218.15/140.72 (~(v109(constB65) | v118(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13851, 13847])).
% 218.15/140.72 tff(13853,plain,
% 218.15/140.72 (~v108(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7182, 13852, 6249])).
% 218.15/140.72 tff(13854,plain,
% 218.15/140.72 (~(v108(constB65) | v119(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7191, 13853, 13815])).
% 218.15/140.72 tff(13855,plain,
% 218.15/140.72 (~v107(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7194, 13854, 6247])).
% 218.15/140.72 tff(13856,plain,
% 218.15/140.72 ((~v107(constB65)) | (~v120(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7196, 13855])).
% 218.15/140.72 tff(13857,plain,
% 218.15/140.72 (~v106(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7201, 13856])).
% 218.15/140.72 tff(13858,plain,
% 218.15/140.72 (~(v105(constB65) | v106(constB65))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7211, 13857])).
% 218.15/140.72 tff(13859,plain,
% 218.15/140.72 (~v102(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7216, 13858])).
% 218.15/140.72 tff(13860,plain,
% 218.15/140.72 (~v104(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7226, 13859])).
% 218.15/140.72 tff(13861,plain,
% 218.15/140.72 ((~v95(constB66)) | (~v104(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7228, 13860])).
% 218.15/140.72 tff(13862,plain,
% 218.15/140.72 (~v94(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7235, 13861])).
% 218.15/140.72 tff(13863,plain,
% 218.15/140.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7243, 13862])).
% 218.15/140.72 tff(13864,plain,
% 218.15/140.72 (v84(constB66, 1) <=> v84(constB65, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7252, 13863])).
% 218.15/140.72 tff(13865,plain,
% 218.15/140.72 ((~(v84(constB66, 1) <=> v84(constB65, 1))) | v84(constB66, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7254, 13829])).
% 218.15/140.72 tff(13866,plain,
% 218.15/140.72 (v84(constB66, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13865, 13864])).
% 218.15/140.72 tff(13867,plain,
% 218.15/140.72 (((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2)) | (~v84(constB66, 1))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13868,plain,
% 218.15/140.72 ((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13867, 13866])).
% 218.15/140.72 tff(13869,plain,
% 218.15/140.72 ((~(v114(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2))))) | (~v114(constB66)) | (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2)))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13870,plain,
% 218.15/140.72 ((~(v114(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | v84(constB66, 2))))) | (~v114(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13869, 13868])).
% 218.15/140.72 tff(13871,plain,
% 218.15/140.72 (~v114(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13870, 13593])).
% 218.15/140.72 tff(13872,plain,
% 218.15/140.72 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 1) | v84(constB66, 2))))),
% 218.15/140.72 inference(quant_inst,[status(thm)],[])).
% 218.15/140.72 tff(13873,plain,
% 218.15/140.72 (v113(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 1) | v84(constB66, 2)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13872, 597])).
% 218.15/140.72 tff(13874,plain,
% 218.15/140.72 (v84(constB66, 0) <=> v84(constB65, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7281, 13863])).
% 218.15/140.72 tff(13875,plain,
% 218.15/140.72 ((~(v84(constB66, 0) <=> v84(constB65, 0))) | v84(constB66, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7283, 13813])).
% 218.15/140.72 tff(13876,plain,
% 218.15/140.72 (v84(constB66, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13875, 13874])).
% 218.15/140.72 tff(13877,plain,
% 218.15/140.72 ((v84(constB66, 0) | v84(constB66, 1) | v84(constB66, 2)) | (~v84(constB66, 0))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13878,plain,
% 218.15/140.72 (v84(constB66, 0) | v84(constB66, 1) | v84(constB66, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13877, 13876])).
% 218.15/140.72 tff(13879,plain,
% 218.15/140.72 ((~(v113(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 1) | v84(constB66, 2))))) | (~v113(constB66)) | (~(v84(constB66, 0) | v84(constB66, 1) | v84(constB66, 2)))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13880,plain,
% 218.15/140.72 ((~(v113(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 1) | v84(constB66, 2))))) | (~v113(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13879, 13878])).
% 218.15/140.72 tff(13881,plain,
% 218.15/140.72 (~v113(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13880, 13873])).
% 218.15/140.72 tff(13882,plain,
% 218.15/140.72 ((~(v113(constB66) | v114(constB66))) | v113(constB66) | v114(constB66)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13883,plain,
% 218.15/140.72 (~(v113(constB66) | v114(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13882, 13881, 13871])).
% 218.15/140.72 tff(13884,plain,
% 218.15/140.72 ((~(v112(constB66) <=> (v113(constB66) | v114(constB66)))) | (~v112(constB66)) | (v113(constB66) | v114(constB66))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13885,plain,
% 218.15/140.72 ((~(v112(constB66) <=> (v113(constB66) | v114(constB66)))) | (~v112(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13884, 13883])).
% 218.15/140.72 tff(13886,plain,
% 218.15/140.72 (~v112(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13885, 13595])).
% 218.15/140.72 tff(13887,plain,
% 218.15/140.72 ((v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2)) | (~v84(constB66, 0))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13888,plain,
% 218.15/140.72 (v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13887, 13876])).
% 218.15/140.72 tff(13889,plain,
% 218.15/140.72 ((~(v115(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2))))) | (~v115(constB66)) | (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2)))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13890,plain,
% 218.15/140.72 ((~(v115(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | v84(constB66, 2))))) | (~v115(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13889, 13888])).
% 218.15/140.72 tff(13891,plain,
% 218.15/140.72 (~v115(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13890, 13574])).
% 218.15/140.72 tff(13892,plain,
% 218.15/140.72 ((~(v112(constB66) | v115(constB66))) | v112(constB66) | v115(constB66)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13893,plain,
% 218.15/140.72 ((~(v112(constB66) | v115(constB66))) | v112(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13892, 13891])).
% 218.15/140.72 tff(13894,plain,
% 218.15/140.72 (~(v112(constB66) | v115(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13893, 13886])).
% 218.15/140.72 tff(13895,plain,
% 218.15/140.72 ((~(v111(constB66) <=> (v112(constB66) | v115(constB66)))) | (~v111(constB66)) | (v112(constB66) | v115(constB66))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13896,plain,
% 218.15/140.72 (~v111(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13895, 13894, 13576])).
% 218.15/140.72 tff(13897,plain,
% 218.15/140.72 (v84(constB66, 2) <=> v84(constB65, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7315, 13863])).
% 218.15/140.72 tff(13898,plain,
% 218.15/140.72 ((~(v84(constB66, 2) <=> v84(constB65, 2))) | v84(constB66, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7317, 13820])).
% 218.15/140.72 tff(13899,plain,
% 218.15/140.72 (v84(constB66, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13898, 13897])).
% 218.15/140.72 tff(13900,plain,
% 218.15/140.72 (((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2)) | (~v84(constB66, 2))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13901,plain,
% 218.15/140.72 ((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13900, 13899])).
% 218.15/140.72 tff(13902,plain,
% 218.15/140.72 ((~(v116(constB66) <=> (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2))))) | (~v116(constB66)) | (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2)))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13903,plain,
% 218.15/140.72 ((~(v116(constB66) <=> (~((~v84(constB66, 0)) | (~v84(constB66, 1)) | v84(constB66, 2))))) | (~v116(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13902, 13901])).
% 218.15/140.72 tff(13904,plain,
% 218.15/140.72 (~v116(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13903, 13536])).
% 218.15/140.72 tff(13905,plain,
% 218.15/140.72 ((~(v111(constB66) | v116(constB66))) | v111(constB66) | v116(constB66)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13906,plain,
% 218.15/140.72 ((~(v111(constB66) | v116(constB66))) | v111(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13905, 13904])).
% 218.15/140.72 tff(13907,plain,
% 218.15/140.72 (~(v111(constB66) | v116(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13906, 13896])).
% 218.15/140.72 tff(13908,plain,
% 218.15/140.72 ((v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2))) | (~v84(constB66, 0))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13909,plain,
% 218.15/140.72 (v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13908, 13876])).
% 218.15/140.72 tff(13910,plain,
% 218.15/140.72 ((~(v119(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2)))))) | (~v119(constB66)) | (~(v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2))))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13911,plain,
% 218.15/140.72 ((~(v119(constB66) <=> (~(v84(constB66, 0) | (~v84(constB66, 1)) | (~v84(constB66, 2)))))) | (~v119(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13910, 13909])).
% 218.15/140.72 tff(13912,plain,
% 218.15/140.72 (~v119(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13911, 13680])).
% 218.15/140.72 tff(13913,plain,
% 218.15/140.72 ((~(v108(constB66) | v119(constB66))) | v108(constB66) | v119(constB66)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13914,plain,
% 218.15/140.72 (v108(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13913, 13912, 13711])).
% 218.15/140.72 tff(13915,plain,
% 218.15/140.72 ((~(v108(constB66) <=> (v109(constB66) | v118(constB66)))) | (~v108(constB66)) | (v109(constB66) | v118(constB66))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13916,plain,
% 218.15/140.72 ((~(v108(constB66) <=> (v109(constB66) | v118(constB66)))) | (v109(constB66) | v118(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13915, 13914])).
% 218.15/140.72 tff(13917,plain,
% 218.15/140.72 (v109(constB66) | v118(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13916, 13549])).
% 218.15/140.72 tff(13918,plain,
% 218.15/140.72 (((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2))) | (~v84(constB66, 1))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13919,plain,
% 218.15/140.72 ((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13918, 13866])).
% 218.15/140.72 tff(13920,plain,
% 218.15/140.72 ((~(v118(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2)))))) | (~v118(constB66)) | (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2))))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13921,plain,
% 218.15/140.72 ((~(v118(constB66) <=> (~((~v84(constB66, 0)) | v84(constB66, 1) | (~v84(constB66, 2)))))) | (~v118(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13920, 13919])).
% 218.15/140.72 tff(13922,plain,
% 218.15/140.72 (~v118(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13921, 13619])).
% 218.15/140.72 tff(13923,plain,
% 218.15/140.72 ((~(v109(constB66) | v118(constB66))) | v109(constB66) | v118(constB66)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13924,plain,
% 218.15/140.72 ((~(v109(constB66) | v118(constB66))) | v109(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13923, 13922])).
% 218.15/140.72 tff(13925,plain,
% 218.15/140.72 (v109(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13924, 13917])).
% 218.15/140.72 tff(13926,plain,
% 218.15/140.72 ((~(v109(constB66) <=> (v110(constB66) | v117(constB66)))) | (~v109(constB66)) | (v110(constB66) | v117(constB66))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13927,plain,
% 218.15/140.72 (v110(constB66) | v117(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13926, 13925, 13543])).
% 218.15/140.72 tff(13928,plain,
% 218.15/140.72 ((v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2))) | (~v84(constB66, 0))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13929,plain,
% 218.15/140.72 (v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13928, 13876])).
% 218.15/140.72 tff(13930,plain,
% 218.15/140.72 ((~(v117(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2)))))) | (~v117(constB66)) | (~(v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2))))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13931,plain,
% 218.15/140.72 ((~(v117(constB66) <=> (~(v84(constB66, 0) | v84(constB66, 1) | (~v84(constB66, 2)))))) | (~v117(constB66))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13930, 13929])).
% 218.15/140.72 tff(13932,plain,
% 218.15/140.72 (~v117(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13931, 13607])).
% 218.15/140.72 tff(13933,plain,
% 218.15/140.72 ((~(v110(constB66) | v117(constB66))) | v110(constB66) | v117(constB66)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13934,plain,
% 218.15/140.72 ((~(v110(constB66) | v117(constB66))) | v110(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13933, 13932])).
% 218.15/140.72 tff(13935,plain,
% 218.15/140.72 (v110(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13934, 13927])).
% 218.15/140.72 tff(13936,plain,
% 218.15/140.72 ((~(v110(constB66) <=> (v111(constB66) | v116(constB66)))) | (~v110(constB66)) | (v111(constB66) | v116(constB66))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13937,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13936, 13935, 13907, 13538])).
% 218.15/140.72 tff(13938,plain,(v94(constB64) | (~(v108(constB66) | v119(constB66))) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))) | (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(13939,plain,
% 218.15/140.72 (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13938, 13712, 13711, 12101])).
% 218.15/140.72 tff(13940,assumption,(~(v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))), introduced(assumption)).
% 218.15/140.72 tff(13941,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[6899, 656, 13940])).
% 218.15/140.72 tff(13942,plain,(v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(13943,plain,
% 218.15/140.72 ((~(v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))) | v117(constB63) | (v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13944,plain,
% 218.15/140.72 (v117(constB63) | (v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13943, 13942])).
% 218.15/140.72 tff(13945,plain,
% 218.15/140.72 (v117(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13944, 13939])).
% 218.15/140.72 tff(13946,plain,
% 218.15/140.72 ((v110(constB63) | v117(constB63)) | (~v117(constB63))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13947,plain,
% 218.15/140.72 (v110(constB63) | v117(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13946, 13945])).
% 218.15/140.72 tff(13948,plain,
% 218.15/140.72 (v109(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12859, 13947, 13363])).
% 218.15/140.72 tff(13949,plain,
% 218.15/140.72 (v109(constB63) | v118(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12857, 13948])).
% 218.15/140.72 tff(13950,plain,
% 218.15/140.72 (v108(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12854, 13949, 13369])).
% 218.15/140.72 tff(13951,plain,
% 218.15/140.72 (v108(constB63) | v119(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12852, 13950])).
% 218.15/140.72 tff(13952,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12849, 13951, 13719, 13375])).
% 218.15/140.72 tff(13953,plain,(v94(constB64) | (~(v108(constB66) | v119(constB66))) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(13954,plain,
% 218.15/140.72 (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13953, 13709, 13711])).
% 218.15/140.72 tff(13955,assumption,(~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))), introduced(assumption)).
% 218.15/140.72 tff(13956,plain,
% 218.15/140.72 ((v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))) | v84(constB65, 0)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13957,plain,
% 218.15/140.72 (v84(constB65, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13956, 13955])).
% 218.15/140.72 tff(13958,plain,
% 218.15/140.72 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | v84(constB64, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13470, 13957])).
% 218.15/140.72 tff(13959,plain,
% 218.15/140.72 (v84(constB64, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13958, 7043])).
% 218.15/140.72 tff(13960,plain,
% 218.15/140.72 ((~(v84(constB64, 0) <=> v84(constB63, 0))) | v84(constB63, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13781, 13959])).
% 218.15/140.72 tff(13961,plain,
% 218.15/140.72 (v84(constB63, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13960, 7131])).
% 218.15/140.72 tff(13962,assumption,(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))), introduced(assumption)).
% 218.15/140.72 tff(13963,plain,
% 218.15/140.72 ((v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))) | (~v84(constB65, 2))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13964,plain,
% 218.15/140.72 (~v84(constB65, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13963, 13955])).
% 218.15/140.72 tff(13965,plain,
% 218.15/140.72 (~v84(constB64, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7114, 13964, 13437])).
% 218.15/140.72 tff(13966,plain,
% 218.15/140.72 ((~(v84(constB64, 2) <=> v84(constB63, 2))) | (~v84(constB63, 2))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7111, 13965])).
% 218.15/140.72 tff(13967,plain,
% 218.15/140.72 (~v84(constB63, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13966, 7146])).
% 218.15/140.72 tff(13968,plain,
% 218.15/140.72 (~v84(constB65, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7028, 13955])).
% 218.15/140.72 tff(13969,plain,
% 218.15/140.72 ((~(v84(constB65, 1) <=> v84(constB64, 1))) | (~v84(constB64, 1))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7025, 13968])).
% 218.15/140.72 tff(13970,plain,
% 218.15/140.72 (~v84(constB64, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13969, 6302])).
% 218.15/140.72 tff(13971,plain,
% 218.15/140.72 ((~(v84(constB64, 1) <=> v84(constB63, 1))) | (~v84(constB63, 1))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7022, 13970])).
% 218.15/140.72 tff(13972,plain,
% 218.15/140.72 (~v84(constB63, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13971, 7139])).
% 218.15/140.72 tff(13973,plain,
% 218.15/140.72 ((~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))) | v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13974,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13973, 13972, 13967, 13962, 13961])).
% 218.15/140.72 tff(13975,plain,((v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))) | (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v84(constB63, B))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(13976,plain,
% 218.15/140.72 (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13975, 13954, 13710])).
% 218.15/140.72 tff(13977,assumption,(~(v114(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))))), introduced(assumption)).
% 218.15/140.72 tff(13978,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[6315, 298, 13977])).
% 218.15/140.72 tff(13979,plain,(v114(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(13980,plain,
% 218.15/140.72 ((~(v114(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))))) | v114(constB63) | (v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(13981,plain,
% 218.15/140.72 (v114(constB63) | (v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13980, 13979])).
% 218.15/140.72 tff(13982,plain,
% 218.15/140.72 (v114(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13981, 13976])).
% 218.15/140.72 tff(13983,plain,
% 218.15/140.72 (v113(constB63) | v114(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13347, 13982])).
% 218.15/140.72 tff(13984,plain,
% 218.15/140.72 ((~(v112(constB63) <=> (v113(constB63) | v114(constB63)))) | v112(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12789, 13983])).
% 218.15/140.72 tff(13985,plain,
% 218.15/140.72 (v112(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13984, 6314])).
% 218.15/140.72 tff(13986,plain,
% 218.15/140.72 (v112(constB63) | v115(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12792, 13985])).
% 218.15/140.72 tff(13987,plain,
% 218.15/140.72 (~(v105(constB63) | v106(constB63))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12834, 13706])).
% 218.15/140.72 tff(13988,plain,
% 218.15/140.72 (~v106(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12836, 13987])).
% 218.15/140.72 tff(13989,plain,
% 218.15/140.72 ((~v107(constB63)) | (~v120(constB63))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12839, 13988])).
% 218.15/140.72 tff(13990,plain,
% 218.15/140.72 (~v107(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12847, 13989])).
% 218.15/140.72 tff(13991,plain,
% 218.15/140.72 (~(v108(constB63) | v119(constB63))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13376, 13990])).
% 218.15/140.72 tff(13992,plain,
% 218.15/140.72 (~v108(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12852, 13991])).
% 218.15/140.72 tff(13993,plain,
% 218.15/140.72 (~(v109(constB63) | v118(constB63))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13370, 13992])).
% 218.15/140.72 tff(13994,plain,
% 218.15/140.72 (~v109(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12857, 13993])).
% 218.15/140.72 tff(13995,plain,
% 218.15/140.72 (~(v110(constB63) | v117(constB63))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13364, 13994])).
% 218.15/140.72 tff(13996,plain,
% 218.15/140.72 (~v110(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12862, 13995])).
% 218.15/140.72 tff(13997,plain,
% 218.15/140.72 ((~(v110(constB63) <=> (v111(constB63) | v116(constB63)))) | (~(v111(constB63) | v116(constB63)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12864, 13996])).
% 218.15/140.72 tff(13998,plain,
% 218.15/140.72 (~(v111(constB63) | v116(constB63))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13997, 6310])).
% 218.15/140.72 tff(13999,plain,
% 218.15/140.72 (~v111(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12866, 13998])).
% 218.15/140.72 tff(14000,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12794, 13999, 13986, 6312])).
% 218.15/140.72 tff(14001,plain,(v102(constB63) | (~(v108(constB66) | v119(constB66)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14002,plain,
% 218.15/140.72 (v102(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14001, 13705])).
% 218.15/140.72 tff(14003,plain,
% 218.15/140.72 (v104(constB64)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12831, 14002])).
% 218.15/140.72 tff(14004,plain,
% 218.15/140.72 (~((~v95(constB64)) | (~v104(constB64)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12828, 14003])).
% 218.15/140.72 tff(14005,plain,
% 218.15/140.72 (v94(constB64)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12797, 14004])).
% 218.15/140.72 tff(14006,plain,
% 218.15/140.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12770, 14005])).
% 218.15/140.72 tff(14007,plain,
% 218.15/140.72 (v107(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12208, 6202])).
% 218.15/140.72 tff(14008,plain,
% 218.15/140.72 (~((~v107(constB65)) | (~v120(constB65)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12216, 14007])).
% 218.15/140.72 tff(14009,plain,
% 218.15/140.72 (v106(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12219, 14008])).
% 218.15/140.72 tff(14010,plain,
% 218.15/140.72 (v105(constB65) | v106(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12221, 14009])).
% 218.15/140.72 tff(14011,plain,
% 218.15/140.72 (v102(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12224, 14010])).
% 218.15/140.72 tff(14012,plain,
% 218.15/140.72 (v104(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12227, 14011])).
% 218.15/140.72 tff(14013,plain,
% 218.15/140.72 (~((~v95(constB66)) | (~v104(constB66)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12258, 14012])).
% 218.15/140.72 tff(14014,plain,
% 218.15/140.72 (v94(constB66)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12261, 14013])).
% 218.15/140.72 tff(14015,plain,
% 218.15/140.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12269, 14014])).
% 218.15/140.72 tff(14016,assumption,(~(v84(constB66, 1) <=> v123(constB66, 1))), introduced(assumption)).
% 218.15/140.72 tff(14017,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12318, 13498, 14016])).
% 218.15/140.72 tff(14018,plain,((v84(constB66, 1) <=> v123(constB66, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14019,plain,
% 218.15/140.72 (v84(constB66, 1) <=> v123(constB66, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14018, 14015])).
% 218.15/140.72 tff(14020,plain,
% 218.15/140.72 (v84(constB66, 2) <=> v123(constB66, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13500, 14015])).
% 218.15/140.72 tff(14021,assumption,(~(v84(constB66, 0) <=> v123(constB66, 0))), introduced(assumption)).
% 218.15/140.72 tff(14022,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12402, 13498, 14021])).
% 218.15/140.72 tff(14023,plain,((v84(constB66, 0) <=> v123(constB66, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14024,plain,
% 218.15/140.72 (v84(constB66, 0) <=> v123(constB66, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14023, 14015])).
% 218.15/140.72 tff(14025,assumption,(v84(constB66, 0) <=> v123(constB66, 0)), introduced(assumption)).
% 218.15/140.72 tff(14026,assumption,(v84(constB66, 1) <=> v123(constB66, 1)), introduced(assumption)).
% 218.15/140.72 tff(14027,plain,
% 218.15/140.72 (v124(constB65, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12344, 12334])).
% 218.15/140.72 tff(14028,assumption,(~(v121(constB65, 1) <=> v124(constB65, 1))), introduced(assumption)).
% 218.15/140.72 tff(14029,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12300, 11992, 14028])).
% 218.15/140.72 tff(14030,plain,(v121(constB65, 1) <=> v124(constB65, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14031,plain,
% 218.15/140.72 (v121(constB65, 1) | (~v124(constB65, 1))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12328, 14030])).
% 218.15/140.72 tff(14032,plain,
% 218.15/140.72 (v121(constB65, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14031, 14027])).
% 218.15/140.72 tff(14033,assumption,(~(v123(constB66, 1) <=> v121(constB65, 1))), introduced(assumption)).
% 218.15/140.72 tff(14034,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12309, 12008, 14033])).
% 218.15/140.72 tff(14035,plain,(v123(constB66, 1) <=> v121(constB65, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14036,plain,
% 218.15/140.72 (v123(constB66, 1) | (~v121(constB65, 1))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12325, 14035])).
% 218.15/140.72 tff(14037,plain,
% 218.15/140.72 (v123(constB66, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14036, 14032])).
% 218.15/140.72 tff(14038,plain,
% 218.15/140.72 (v84(constB66, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12322, 14037, 14026])).
% 218.15/140.72 tff(14039,assumption,(~(v84(constB67, 1) <=> v84(constB66, 1))), introduced(assumption)).
% 218.15/140.72 tff(14040,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[6244, 6236, 14039])).
% 218.15/140.72 tff(14041,plain,(v84(constB67, 1) <=> v84(constB66, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14042,plain,
% 218.15/140.72 (v84(constB67, 1) | (~v84(constB66, 1))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[7257, 14041])).
% 218.15/140.72 tff(14043,plain,
% 218.15/140.72 (v84(constB67, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14042, 14038])).
% 218.15/140.72 tff(14044,assumption,(v84(constB66, 2) <=> v123(constB66, 2)), introduced(assumption)).
% 218.15/140.72 tff(14045,assumption,(v124(constB65, 2)), introduced(assumption)).
% 218.15/140.72 tff(14046,plain,
% 218.15/140.72 ((~(v124(constB65, 2) <=> b010(2))) | (~v124(constB65, 2)) | b010(2)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(14047,plain,
% 218.15/140.72 (~(v124(constB65, 2) <=> b010(2))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14046, 2485, 14045])).
% 218.15/140.72 tff(14048,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 2) <=> b010(2)))),
% 218.15/140.72 inference(rewrite,[status(thm)],[])).
% 218.15/140.72 tff(14049,plain,
% 218.15/140.72 (($false | $false | (v124(constB65, 2) <=> b010(2))) <=> (v124(constB65, 2) <=> b010(2))),
% 218.15/140.72 inference(rewrite,[status(thm)],[])).
% 218.15/140.72 tff(14050,plain,
% 218.15/140.72 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b010(2))) <=> ($false | $false | (v124(constB65, 2) <=> b010(2)))),
% 218.15/140.72 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.72 tff(14051,plain,
% 218.15/140.72 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b010(2))) <=> (v124(constB65, 2) <=> b010(2))),
% 218.15/140.72 inference(transitivity,[status(thm)],[14050, 14049])).
% 218.15/140.72 tff(14052,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 2) <=> b010(2)))),
% 218.15/140.72 inference(monotonicity,[status(thm)],[14051])).
% 218.15/140.72 tff(14053,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 2) <=> b010(2)))),
% 218.15/140.72 inference(transitivity,[status(thm)],[14052, 14048])).
% 218.15/140.72 tff(14054,plain,
% 218.15/140.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b010(2)))),
% 218.15/140.72 inference(quant_inst,[status(thm)],[])).
% 218.15/140.72 tff(14055,plain,
% 218.15/140.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 2) <=> b010(2))),
% 218.15/140.72 inference(modus_ponens,[status(thm)],[14054, 14053])).
% 218.15/140.72 tff(14056,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14055, 12334, 14047])).
% 218.15/140.72 tff(14057,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (~v124(constB65, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14058,plain,
% 218.15/140.72 (~v124(constB65, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14057, 12334])).
% 218.15/140.72 tff(14059,plain,
% 218.15/140.72 (~v121(constB65, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13514, 14058])).
% 218.15/140.72 tff(14060,plain,
% 218.15/140.72 (~v123(constB66, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13508, 14059])).
% 218.15/140.72 tff(14061,plain,
% 218.15/140.72 (~v84(constB66, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13502, 14060, 14044])).
% 218.15/140.72 tff(14062,plain,
% 218.15/140.72 (~v84(constB67, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13344, 14061])).
% 218.15/140.72 tff(14063,plain,
% 218.15/140.72 (v84(constB67, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[5469, 11974, 14062, 14043])).
% 218.15/140.72 tff(14064,plain,
% 218.15/140.72 ((~(v84(constB67, 0) <=> v84(constB66, 0))) | v84(constB66, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13630, 14063])).
% 218.15/140.72 tff(14065,plain,
% 218.15/140.72 (v84(constB66, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14064, 7273])).
% 218.15/140.72 tff(14066,plain,
% 218.15/140.72 ((~(v84(constB66, 0) <=> v123(constB66, 0))) | (~v84(constB66, 0)) | v123(constB66, 0)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(14067,plain,
% 218.15/140.72 (v123(constB66, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14066, 14065, 14025])).
% 218.15/140.72 tff(14068,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 0) <=> b010(0)))),
% 218.15/140.72 inference(rewrite,[status(thm)],[])).
% 218.15/140.72 tff(14069,plain,
% 218.15/140.72 (($false | $false | (v124(constB65, 0) <=> b010(0))) <=> (v124(constB65, 0) <=> b010(0))),
% 218.15/140.72 inference(rewrite,[status(thm)],[])).
% 218.15/140.72 tff(14070,plain,
% 218.15/140.72 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b010(0))) <=> ($false | $false | (v124(constB65, 0) <=> b010(0)))),
% 218.15/140.72 inference(monotonicity,[status(thm)],[250, 249])).
% 218.15/140.72 tff(14071,plain,
% 218.15/140.72 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b010(0))) <=> (v124(constB65, 0) <=> b010(0))),
% 218.15/140.72 inference(transitivity,[status(thm)],[14070, 14069])).
% 218.15/140.72 tff(14072,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 0) <=> b010(0)))),
% 218.15/140.72 inference(monotonicity,[status(thm)],[14071])).
% 218.15/140.72 tff(14073,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 0) <=> b010(0)))),
% 218.15/140.72 inference(transitivity,[status(thm)],[14072, 14068])).
% 218.15/140.72 tff(14074,plain,
% 218.15/140.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB65, 0) <=> b010(0)))),
% 218.15/140.72 inference(quant_inst,[status(thm)],[])).
% 218.15/140.72 tff(14075,plain,
% 218.15/140.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (v124(constB65, 0) <=> b010(0))),
% 218.15/140.72 inference(modus_ponens,[status(thm)],[14074, 14073])).
% 218.15/140.72 tff(14076,plain,
% 218.15/140.72 (v124(constB65, 0) <=> b010(0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14075, 12334])).
% 218.15/140.72 tff(14077,plain,
% 218.15/140.72 ((~(v124(constB65, 0) <=> b010(0))) | (~v124(constB65, 0)) | b010(0)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(14078,plain,
% 218.15/140.72 ((~(v124(constB65, 0) <=> b010(0))) | (~v124(constB65, 0))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14077, 2437])).
% 218.15/140.72 tff(14079,plain,
% 218.15/140.72 (~v124(constB65, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14078, 14076])).
% 218.15/140.72 tff(14080,assumption,(~(v121(constB65, 0) <=> v124(constB65, 0))), introduced(assumption)).
% 218.15/140.72 tff(14081,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12384, 11992, 14080])).
% 218.15/140.72 tff(14082,plain,(v121(constB65, 0) <=> v124(constB65, 0)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14083,plain,
% 218.15/140.72 ((~(v121(constB65, 0) <=> v124(constB65, 0))) | (~v121(constB65, 0)) | v124(constB65, 0)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(14084,plain,
% 218.15/140.72 ((~v121(constB65, 0)) | v124(constB65, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14083, 14082])).
% 218.15/140.72 tff(14085,plain,
% 218.15/140.72 (~v121(constB65, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14084, 14079])).
% 218.15/140.72 tff(14086,assumption,(~(v123(constB66, 0) <=> v121(constB65, 0))), introduced(assumption)).
% 218.15/140.72 tff(14087,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12393, 12008, 14086])).
% 218.15/140.72 tff(14088,plain,(v123(constB66, 0) <=> v121(constB65, 0)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14089,plain,
% 218.15/140.72 ((~(v123(constB66, 0) <=> v121(constB65, 0))) | (~v123(constB66, 0)) | v121(constB65, 0)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(14090,plain,
% 218.15/140.72 ((~v123(constB66, 0)) | v121(constB65, 0)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14089, 14088])).
% 218.15/140.72 tff(14091,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14090, 14085, 14067])).
% 218.15/140.72 tff(14092,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))) | (~(v84(constB66, 0) <=> v123(constB66, 0))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b011(B))) | (~(v84(constB66, 2) <=> v123(constB66, 2))) | (~(v84(constB66, 1) <=> v123(constB66, 1)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14093,plain,
% 218.15/140.72 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14092, 11952, 14024, 14020, 14019])).
% 218.15/140.72 tff(14094,assumption,(v114(constB65)), introduced(assumption)).
% 218.15/140.72 tff(14095,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))), introduced(assumption)).
% 218.15/140.72 tff(14096,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12351, 2418, 14095, 14094])).
% 218.15/140.72 tff(14097,plain,((~v114(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14098,plain,
% 218.15/140.72 (~v114(constB65)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14097, 14093])).
% 218.15/140.72 tff(14099,assumption,(~(v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))))), introduced(assumption)).
% 218.15/140.72 tff(14100,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[6258, 298, 14099])).
% 218.15/140.72 tff(14101,plain,(v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14102,plain,
% 218.15/140.72 (v114(constB65) | (v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12081, 14101])).
% 218.15/140.72 tff(14103,plain,
% 218.15/140.72 (v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14102, 14098])).
% 218.15/140.72 tff(14104,assumption,(v124(constB63, 1)), introduced(assumption)).
% 218.15/140.72 tff(14105,plain,
% 218.15/140.72 ((~(v124(constB63, 1) <=> b001(1))) | (~v124(constB63, 1)) | b001(1)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(14106,plain,
% 218.15/140.72 (~(v124(constB63, 1) <=> b001(1))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14105, 1885, 14104])).
% 218.15/140.72 tff(14107,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 1) <=> b001(1)))),
% 218.15/140.72 inference(rewrite,[status(thm)],[])).
% 218.15/140.72 tff(14108,plain,
% 218.15/140.72 (($false | $false | (v124(constB63, 1) <=> b001(1))) <=> (v124(constB63, 1) <=> b001(1))),
% 218.15/140.72 inference(rewrite,[status(thm)],[])).
% 218.15/140.72 tff(14109,plain,
% 218.15/140.72 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b001(1))) <=> ($false | $false | (v124(constB63, 1) <=> b001(1)))),
% 218.15/140.72 inference(monotonicity,[status(thm)],[402, 401])).
% 218.15/140.72 tff(14110,plain,
% 218.15/140.72 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b001(1))) <=> (v124(constB63, 1) <=> b001(1))),
% 218.15/140.72 inference(transitivity,[status(thm)],[14109, 14108])).
% 218.15/140.72 tff(14111,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 1) <=> b001(1)))),
% 218.15/140.72 inference(monotonicity,[status(thm)],[14110])).
% 218.15/140.72 tff(14112,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 1) <=> b001(1)))),
% 218.15/140.72 inference(transitivity,[status(thm)],[14111, 14107])).
% 218.15/140.72 tff(14113,plain,
% 218.15/140.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b001(1)))),
% 218.15/140.72 inference(quant_inst,[status(thm)],[])).
% 218.15/140.72 tff(14114,plain,
% 218.15/140.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 1) <=> b001(1))),
% 218.15/140.72 inference(modus_ponens,[status(thm)],[14113, 14112])).
% 218.15/140.72 tff(14115,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14114, 12686, 14106])).
% 218.15/140.72 tff(14116,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (~v124(constB63, 1))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14117,plain,
% 218.15/140.72 (~v124(constB63, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14116, 12686])).
% 218.15/140.72 tff(14118,plain,
% 218.15/140.72 ((~(v121(constB63, 1) <=> v124(constB63, 1))) | (~v121(constB63, 1)) | v124(constB63, 1)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(14119,plain,
% 218.15/140.72 ((~v121(constB63, 1)) | v124(constB63, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14118, 13391])).
% 218.15/140.72 tff(14120,plain,
% 218.15/140.72 (~v121(constB63, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14119, 14117])).
% 218.15/140.72 tff(14121,plain,
% 218.15/140.72 ((~(v123(constB64, 1) <=> v121(constB63, 1))) | (~v123(constB64, 1)) | v121(constB63, 1)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(14122,plain,
% 218.15/140.72 ((~v123(constB64, 1)) | v121(constB63, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14121, 13396])).
% 218.15/140.72 tff(14123,plain,
% 218.15/140.72 (~v123(constB64, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14122, 14120])).
% 218.15/140.72 tff(14124,plain,
% 218.15/140.72 ((~(v124(constB63, 2) <=> b001(2))) | (~v124(constB63, 2)) | b001(2)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(14125,plain,
% 218.15/140.72 (~(v124(constB63, 2) <=> b001(2))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14124, 1831, 13403])).
% 218.15/140.72 tff(14126,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 2) <=> b001(2)))),
% 218.15/140.72 inference(rewrite,[status(thm)],[])).
% 218.15/140.72 tff(14127,plain,
% 218.15/140.72 (($false | $false | (v124(constB63, 2) <=> b001(2))) <=> (v124(constB63, 2) <=> b001(2))),
% 218.15/140.72 inference(rewrite,[status(thm)],[])).
% 218.15/140.72 tff(14128,plain,
% 218.15/140.72 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b001(2))) <=> ($false | $false | (v124(constB63, 2) <=> b001(2)))),
% 218.15/140.72 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.72 tff(14129,plain,
% 218.15/140.72 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b001(2))) <=> (v124(constB63, 2) <=> b001(2))),
% 218.15/140.72 inference(transitivity,[status(thm)],[14128, 14127])).
% 218.15/140.72 tff(14130,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 2) <=> b001(2)))),
% 218.15/140.72 inference(monotonicity,[status(thm)],[14129])).
% 218.15/140.72 tff(14131,plain,
% 218.15/140.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 2) <=> b001(2)))),
% 218.15/140.72 inference(transitivity,[status(thm)],[14130, 14126])).
% 218.15/140.72 tff(14132,plain,
% 218.15/140.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b001(2)))),
% 218.15/140.72 inference(quant_inst,[status(thm)],[])).
% 218.15/140.72 tff(14133,plain,
% 218.15/140.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (v124(constB63, 2) <=> b001(2))),
% 218.15/140.72 inference(modus_ponens,[status(thm)],[14132, 14131])).
% 218.15/140.72 tff(14134,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14133, 12686, 14125])).
% 218.15/140.72 tff(14135,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (~v124(constB63, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14136,plain,
% 218.15/140.72 (~v124(constB63, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14135, 12686])).
% 218.15/140.72 tff(14137,plain,
% 218.15/140.72 (~v121(constB63, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13421, 14136])).
% 218.15/140.72 tff(14138,plain,
% 218.15/140.72 (~v123(constB64, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13427, 14137])).
% 218.15/140.72 tff(14139,assumption,(~v123(constB64, 1)), introduced(assumption)).
% 218.15/140.72 tff(14140,assumption,(v84(constB64, 1)), introduced(assumption)).
% 218.15/140.72 tff(14141,plain,
% 218.15/140.72 ((~(v84(constB64, 1) <=> v123(constB64, 1))) | (~v84(constB64, 1)) | v123(constB64, 1)),
% 218.15/140.72 inference(tautology,[status(thm)],[])).
% 218.15/140.72 tff(14142,plain,
% 218.15/140.72 (~(v84(constB64, 1) <=> v123(constB64, 1))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14141, 14140, 14139])).
% 218.15/140.72 tff(14143,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12559, 12513, 14142])).
% 218.15/140.72 tff(14144,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (~v84(constB64, 1)) | v123(constB64, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14145,plain,
% 218.15/140.72 (~v84(constB64, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14144, 12513, 14139])).
% 218.15/140.72 tff(14146,assumption,(~(v84(constB65, 1) <=> v84(constB64, 1))), introduced(assumption)).
% 218.15/140.72 tff(14147,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[6301, 6293, 14146])).
% 218.15/140.72 tff(14148,plain,(v84(constB65, 1) <=> v84(constB64, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14149,plain,
% 218.15/140.72 ((~v84(constB65, 1)) | v84(constB64, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13763, 14148])).
% 218.15/140.72 tff(14150,plain,
% 218.15/140.72 (~v84(constB65, 1)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14149, 14145])).
% 218.15/140.72 tff(14151,assumption,(~v123(constB64, 2)), introduced(assumption)).
% 218.15/140.72 tff(14152,plain,
% 218.15/140.72 (v84(constB64, 2) <=> v123(constB64, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13431, 12513])).
% 218.15/140.72 tff(14153,plain,
% 218.15/140.72 (~v84(constB64, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13433, 14152, 14151])).
% 218.15/140.72 tff(14154,plain,
% 218.15/140.72 (~v84(constB65, 2)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[13438, 14153])).
% 218.15/140.72 tff(14155,plain,
% 218.15/140.72 (v84(constB65, 1) | v84(constB65, 2) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12108, 12870])).
% 218.15/140.72 tff(14156,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14155, 14154, 14150, 12101])).
% 218.15/140.72 tff(14157,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))) | v123(constB64, 2) | v123(constB64, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14158,plain,
% 218.15/140.72 ($false),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14157, 14138, 14123, 12513, 12101])).
% 218.15/140.72 tff(14159,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.72 tff(14160,plain,
% 218.15/140.72 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[14159, 14103, 14006])).
% 218.15/140.72 tff(14161,plain,
% 218.15/140.72 (~v113(constB63)),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[12707, 14160])).
% 218.15/140.72 tff(14162,plain,
% 218.15/140.72 (~(v113(constB63) | v114(constB63))),
% 218.15/140.72 inference(unit_resolution,[status(thm)],[6831, 14161, 13529])).
% 218.15/140.73 tff(14163,assumption,(~(v112(constB63) <=> (v113(constB63) | v114(constB63)))), introduced(assumption)).
% 218.15/140.73 tff(14164,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[6313, 283, 14163])).
% 218.15/140.73 tff(14165,plain,(v112(constB63) <=> (v113(constB63) | v114(constB63))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14166,plain,
% 218.15/140.73 ((~v112(constB63)) | (v113(constB63) | v114(constB63))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[6833, 14165])).
% 218.15/140.73 tff(14167,plain,
% 218.15/140.73 (~v112(constB63)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14166, 14162])).
% 218.15/140.73 tff(14168,plain,
% 218.15/140.73 (v109(constB67) | v118(constB67)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5409, 12956])).
% 218.15/140.73 tff(14169,assumption,(~(v108(constB67) <=> (v109(constB67) | v118(constB67)))), introduced(assumption)).
% 218.15/140.73 tff(14170,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5353, 428, 14169])).
% 218.15/140.73 tff(14171,plain,(v108(constB67) <=> (v109(constB67) | v118(constB67))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14172,plain,
% 218.15/140.73 (v108(constB67) | (~(v109(constB67) | v118(constB67)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5357, 14171])).
% 218.15/140.73 tff(14173,plain,
% 218.15/140.73 (v108(constB67)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14172, 14168])).
% 218.15/140.73 tff(14174,plain,
% 218.15/140.73 (v108(constB67) | v119(constB67)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5355, 14173])).
% 218.15/140.73 tff(14175,plain,
% 218.15/140.73 (v107(constB67)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13031, 14174])).
% 218.15/140.73 tff(14176,plain,
% 218.15/140.73 (~((~v107(constB67)) | (~v120(constB67)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5341, 14175])).
% 218.15/140.73 tff(14177,plain,
% 218.15/140.73 (v106(constB67)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5326, 14176])).
% 218.15/140.73 tff(14178,plain,
% 218.15/140.73 (v105(constB67) | v106(constB67)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5321, 14177])).
% 218.15/140.73 tff(14179,plain,
% 218.15/140.73 (v102(constB67)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5319, 14178])).
% 218.15/140.73 tff(14180,plain,
% 218.15/140.73 (v104(constB68)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5314, 14179])).
% 218.15/140.73 tff(14181,plain,
% 218.15/140.73 (~((~v95(constB68)) | (~v104(constB68)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10321, 14180])).
% 218.15/140.73 tff(14182,plain,
% 218.15/140.73 (v94(constB68)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10324, 14181])).
% 218.15/140.73 tff(14183,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10332, 14182])).
% 218.15/140.73 tff(14184,plain,
% 218.15/140.73 (v84(constB68, 0) <=> v123(constB68, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10345, 14183])).
% 218.15/140.73 tff(14185,plain,
% 218.15/140.73 (v84(constB68, 2) <=> v123(constB68, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10997, 14183])).
% 218.15/140.73 tff(14186,plain,
% 218.15/140.73 (v84(constB68, 1) <=> v123(constB68, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10357, 14183])).
% 218.15/140.73 tff(14187,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[12965, 12956])).
% 218.15/140.73 tff(14188,plain,
% 218.15/140.73 (v124(constB67, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13142, 14187])).
% 218.15/140.73 tff(14189,plain,
% 218.15/140.73 (v121(constB67, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13114, 14188])).
% 218.15/140.73 tff(14190,plain,
% 218.15/140.73 (v123(constB68, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13117, 14189])).
% 218.15/140.73 tff(14191,plain,
% 218.15/140.73 (v84(constB68, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13119, 14185, 14190])).
% 218.15/140.73 tff(14192,plain,
% 218.15/140.73 (v84(constB69, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13121, 14191])).
% 218.15/140.73 tff(14193,plain,
% 218.15/140.73 (v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5522, 14192])).
% 218.15/140.73 tff(14194,plain,
% 218.15/140.73 (v124(constB67, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[12954, 14187])).
% 218.15/140.73 tff(14195,plain,
% 218.15/140.73 (v121(constB67, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11096, 14194])).
% 218.15/140.73 tff(14196,plain,
% 218.15/140.73 (v123(constB68, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11110, 14195])).
% 218.15/140.73 tff(14197,plain,
% 218.15/140.73 (v84(constB68, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11112, 14186, 14196])).
% 218.15/140.73 tff(14198,plain,
% 218.15/140.73 (v84(constB69, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11114, 14197])).
% 218.15/140.73 tff(14199,plain,
% 218.15/140.73 (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5557, 14198])).
% 218.15/140.73 tff(14200,assumption,(v84(constB68, 2)), introduced(assumption)).
% 218.15/140.73 tff(14201,plain,
% 218.15/140.73 ((v84(constB68, 2) <=> v123(constB68, 2)) | (~v84(constB68, 2)) | (~v123(constB68, 2))),
% 218.15/140.73 inference(tautology,[status(thm)],[])).
% 218.15/140.73 tff(14202,plain,
% 218.15/140.73 (v84(constB68, 2) <=> v123(constB68, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14201, 14190, 14200])).
% 218.15/140.73 tff(14203,assumption,(v84(constB68, 1)), introduced(assumption)).
% 218.15/140.73 tff(14204,plain,
% 218.15/140.73 ((v84(constB68, 1) <=> v123(constB68, 1)) | (~v84(constB68, 1)) | (~v123(constB68, 1))),
% 218.15/140.73 inference(tautology,[status(thm)],[])).
% 218.15/140.73 tff(14205,plain,
% 218.15/140.73 (v84(constB68, 1) <=> v123(constB68, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14204, 14196, 14203])).
% 218.15/140.73 tff(14206,plain,
% 218.15/140.73 (v124(constB67, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[12954, 12944])).
% 218.15/140.73 tff(14207,plain,
% 218.15/140.73 (v121(constB67, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11096, 14206])).
% 218.15/140.73 tff(14208,plain,
% 218.15/140.73 (v123(constB68, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11110, 14207])).
% 218.15/140.73 tff(14209,plain,
% 218.15/140.73 (v84(constB68, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11112, 14208, 11002])).
% 218.15/140.73 tff(14210,plain,
% 218.15/140.73 (v84(constB69, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11114, 14209])).
% 218.15/140.73 tff(14211,plain,
% 218.15/140.73 (v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5612, 14210])).
% 218.15/140.73 tff(14212,plain,
% 218.15/140.73 (~v118(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11229, 14211])).
% 218.15/140.73 tff(14213,plain,
% 218.15/140.73 (v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5600, 14210])).
% 218.15/140.73 tff(14214,plain,
% 218.15/140.73 (v124(constB67, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13142, 12944])).
% 218.15/140.73 tff(14215,plain,
% 218.15/140.73 (v121(constB67, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13114, 14214])).
% 218.15/140.73 tff(14216,plain,
% 218.15/140.73 (v123(constB68, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13117, 14215])).
% 218.15/140.73 tff(14217,plain,
% 218.15/140.73 (v84(constB68, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13119, 14216, 11003])).
% 218.15/140.73 tff(14218,plain,
% 218.15/140.73 (v84(constB69, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13121, 14217])).
% 218.15/140.73 tff(14219,plain,
% 218.15/140.73 (v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5581, 14218])).
% 218.15/140.73 tff(14220,plain,
% 218.15/140.73 (v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5522, 14218])).
% 218.15/140.73 tff(14221,plain,
% 218.15/140.73 (v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[13152, 14218])).
% 218.15/140.73 tff(14222,plain,
% 218.15/140.73 (~v114(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5566, 14221, 11865])).
% 218.15/140.73 tff(14223,assumption,(~v84(constB68, 0)), introduced(assumption)).
% 218.15/140.73 tff(14224,plain,
% 218.15/140.73 ((~(v84(constB69, 0) <=> v84(constB68, 0))) | (~v84(constB69, 0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11157, 14223])).
% 218.15/140.73 tff(14225,plain,
% 218.15/140.73 (~v84(constB69, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14224, 5274])).
% 218.15/140.73 tff(14226,plain,
% 218.15/140.73 (~(v84(constB69, 0) | (~v84(constB69, 1)) | (~v84(constB69, 2)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10813, 14225, 10610, 10806, 10609])).
% 218.15/140.73 tff(14227,plain,
% 218.15/140.73 (v119(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10751, 14226])).
% 218.15/140.73 tff(14228,plain,
% 218.15/140.73 (v108(constB69) | v119(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10745, 14227])).
% 218.15/140.73 tff(14229,plain,
% 218.15/140.73 (v107(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10634, 14228])).
% 218.15/140.73 tff(14230,plain,
% 218.15/140.73 (~((~v107(constB69)) | (~v120(constB69)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10451, 14229])).
% 218.15/140.73 tff(14231,plain,
% 218.15/140.73 (v106(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10454, 14230])).
% 218.15/140.73 tff(14232,plain,
% 218.15/140.73 (v105(constB69) | v106(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10456, 14231])).
% 218.15/140.73 tff(14233,plain,
% 218.15/140.73 (v102(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10459, 14232])).
% 218.15/140.73 tff(14234,plain,
% 218.15/140.73 (v104(constB70)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10400, 14233])).
% 218.15/140.73 tff(14235,plain,
% 218.15/140.73 (~((~v95(constB70)) | (~v104(constB70)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10397, 14234])).
% 218.15/140.73 tff(14236,plain,
% 218.15/140.73 (v94(constB70)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10366, 14235])).
% 218.15/140.73 tff(14237,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10470, 14236])).
% 218.15/140.73 tff(14238,plain,
% 218.15/140.73 (v84(constB70, 2) <=> v123(constB70, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10483, 14237])).
% 218.15/140.73 tff(14239,plain,
% 218.15/140.73 (v123(constB70, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10485, 14238, 10418])).
% 218.15/140.73 tff(14240,plain,
% 218.15/140.73 (v121(constB69, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10506, 14239])).
% 218.15/140.73 tff(14241,plain,
% 218.15/140.73 (v124(constB69, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10527, 14240])).
% 218.15/140.73 tff(14242,plain,
% 218.15/140.73 (~(v124(constB69, 2) <=> b001(2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10529, 1831, 14241])).
% 218.15/140.73 tff(14243,plain,
% 218.15/140.73 ((~(v116(constB69) <=> (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))))) | (~v116(constB69))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5524, 10640])).
% 218.15/140.73 tff(14244,plain,
% 218.15/140.73 (~v116(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14243, 5497])).
% 218.15/140.73 tff(14245,plain,
% 218.15/140.73 (~v115(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10914, 10418])).
% 218.15/140.73 tff(14246,assumption,(~v118(constB69)), introduced(assumption)).
% 218.15/140.73 tff(14247,plain,
% 218.15/140.73 ((~(v117(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))))) | (~v117(constB69))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5602, 10610])).
% 218.15/140.73 tff(14248,plain,
% 218.15/140.73 (~v117(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14247, 5599])).
% 218.15/140.73 tff(14249,plain,
% 218.15/140.73 (~v113(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11859, 10609])).
% 218.15/140.73 tff(14250,assumption,(~v114(constB69)), introduced(assumption)).
% 218.15/140.73 tff(14251,plain,
% 218.15/140.73 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))) | v113(constB69) | v114(constB69) | v115(constB69) | v116(constB69) | v117(constB69) | v118(constB69))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))) | v113(constB69) | v114(constB69) | v115(constB69) | v116(constB69) | v117(constB69) | v118(constB69))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14252,plain,
% 218.15/140.73 ((v118(constB69) | v117(constB69) | v116(constB69) | v115(constB69) | v114(constB69) | v113(constB69) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))) | v113(constB69) | v114(constB69) | v115(constB69) | v116(constB69) | v117(constB69) | v118(constB69))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14253,plain,
% 218.15/140.73 (^[B: $int] : rewrite(((v124(constB69, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))))),
% 218.15/140.73 inference(bind,[status(th)],[])).
% 218.15/140.73 tff(14254,plain,
% 218.15/140.73 (![B: $int] : ((v124(constB69, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))),
% 218.15/140.73 inference(quant_intro,[status(thm)],[14253])).
% 218.15/140.73 tff(14255,plain,
% 218.15/140.73 ((v118(constB69) | v117(constB69) | v116(constB69) | v115(constB69) | v114(constB69) | v113(constB69) | ![B: $int] : ((v124(constB69, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB69) | v117(constB69) | v116(constB69) | v115(constB69) | v114(constB69) | v113(constB69) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[14254])).
% 218.15/140.73 tff(14256,plain,
% 218.15/140.73 ((v118(constB69) | v117(constB69) | v116(constB69) | v115(constB69) | v114(constB69) | v113(constB69) | ![B: $int] : ((v124(constB69, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))) | v113(constB69) | v114(constB69) | v115(constB69) | v116(constB69) | v117(constB69) | v118(constB69))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14255, 14252])).
% 218.15/140.73 tff(14257,plain,
% 218.15/140.73 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB69) | v117(constB69) | v116(constB69) | v115(constB69) | v114(constB69) | v113(constB69) | ![B: $int] : ((v124(constB69, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))) | v113(constB69) | v114(constB69) | v115(constB69) | v116(constB69) | v117(constB69) | v118(constB69)))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[14256])).
% 218.15/140.73 tff(14258,plain,
% 218.15/140.73 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB69) | v117(constB69) | v116(constB69) | v115(constB69) | v114(constB69) | v113(constB69) | ![B: $int] : ((v124(constB69, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))) | v113(constB69) | v114(constB69) | v115(constB69) | v116(constB69) | v117(constB69) | v118(constB69))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14257, 14251])).
% 218.15/140.73 tff(14259,plain,
% 218.15/140.73 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB69) | v117(constB69) | v116(constB69) | v115(constB69) | v114(constB69) | v113(constB69) | ![B: $int] : ((v124(constB69, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.15/140.73 inference(quant_inst,[status(thm)],[])).
% 218.15/140.73 tff(14260,plain,
% 218.15/140.73 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))) | v113(constB69) | v114(constB69) | v115(constB69) | v116(constB69) | v117(constB69) | v118(constB69)),
% 218.15/140.73 inference(modus_ponens,[status(thm)],[14259, 14258])).
% 218.15/140.73 tff(14261,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14260, 1807, 14250, 14249, 14248, 14246, 14245, 14244])).
% 218.15/140.73 tff(14262,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10545, 14261, 14242])).
% 218.15/140.73 tff(14263,plain,(v84(constB68, 0) | v114(constB69) | v118(constB69) | (~v84(constB70, 2)) | (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2)))) | (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))) | (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))) | (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14264,plain,
% 218.15/140.73 (v84(constB68, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14263, 14222, 14220, 14219, 10418, 14213, 10609, 14212])).
% 218.15/140.73 tff(14265,plain,
% 218.15/140.73 (v123(constB68, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11155, 14264, 11004])).
% 218.15/140.73 tff(14266,plain,
% 218.15/140.73 (v121(constB67, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11152, 14265, 11939])).
% 218.15/140.73 tff(14267,plain,
% 218.15/140.73 (v124(constB67, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11149, 14266, 11933])).
% 218.15/140.73 tff(14268,plain,
% 218.15/140.73 ((~(v124(constB67, 0) <=> b110(0))) | (~v124(constB67, 0)) | b110(0)),
% 218.15/140.73 inference(tautology,[status(thm)],[])).
% 218.15/140.73 tff(14269,plain,
% 218.15/140.73 (~(v124(constB67, 0) <=> b110(0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14268, 3186, 14267])).
% 218.15/140.73 tff(14270,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 0) <=> b110(0)))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14271,plain,
% 218.15/140.73 (($false | $false | (v124(constB67, 0) <=> b110(0))) <=> (v124(constB67, 0) <=> b110(0))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14272,plain,
% 218.15/140.73 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b110(0))) <=> ($false | $false | (v124(constB67, 0) <=> b110(0)))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[250, 249])).
% 218.15/140.73 tff(14273,plain,
% 218.15/140.73 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b110(0))) <=> (v124(constB67, 0) <=> b110(0))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14272, 14271])).
% 218.15/140.73 tff(14274,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 0) <=> b110(0)))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[14273])).
% 218.15/140.73 tff(14275,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 0) <=> b110(0)))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14274, 14270])).
% 218.15/140.73 tff(14276,plain,
% 218.15/140.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB67, 0) <=> b110(0)))),
% 218.15/140.73 inference(quant_inst,[status(thm)],[])).
% 218.15/140.73 tff(14277,plain,
% 218.15/140.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (v124(constB67, 0) <=> b110(0))),
% 218.15/140.73 inference(modus_ponens,[status(thm)],[14276, 14275])).
% 218.15/140.73 tff(14278,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14277, 12944, 14269])).
% 218.15/140.73 tff(14279,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (~(v84(constB68, 0) <=> v123(constB68, 0))) | (~v84(constB70, 2)) | (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))) | (~(v84(constB68, 1) <=> v123(constB68, 1))) | (~(v84(constB68, 2) <=> v123(constB68, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14280,plain,
% 218.15/140.73 (~(v84(constB68, 0) <=> v123(constB68, 0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14279, 14205, 10418, 10609, 14187, 14202])).
% 218.15/140.73 tff(14281,plain,
% 218.15/140.73 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB68, B) <=> v123(constB68, B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10345, 14280])).
% 218.15/140.73 tff(14282,plain,
% 218.15/140.73 (~v94(constB68)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10332, 14281])).
% 218.15/140.73 tff(14283,plain,
% 218.15/140.73 ((~v95(constB68)) | (~v104(constB68))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10324, 14282])).
% 218.15/140.73 tff(14284,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10321, 14180, 14283])).
% 218.15/140.73 tff(14285,plain,((~v118(constB67)) | (~v84(constB70, 2)) | (~(v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))) | (~v84(constB68, 1)) | (~v84(constB68, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14286,plain,
% 218.15/140.73 (~v84(constB70, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14285, 14199, 12956, 14197, 14191])).
% 218.15/140.73 tff(14287,plain,
% 218.15/140.73 (v94(constB70)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10820, 14286])).
% 218.15/140.73 tff(14288,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10470, 14287])).
% 218.15/140.73 tff(14289,plain,
% 218.15/140.73 (v84(constB70, 0) <=> v123(constB70, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10985, 14288])).
% 218.15/140.73 tff(14290,plain,
% 218.15/140.73 (v84(constB70, 1) <=> v123(constB70, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11306, 14288])).
% 218.15/140.73 tff(14291,plain,
% 218.15/140.73 (~v114(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11866, 14221])).
% 218.15/140.73 tff(14292,plain,
% 218.15/140.73 (~v115(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11855, 14219])).
% 218.15/140.73 tff(14293,plain,
% 218.15/140.73 (~v84(constB70, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10547, 10419])).
% 218.15/140.73 tff(14294,plain,
% 218.15/140.73 (~v84(constB71, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11200, 14293])).
% 218.15/140.73 tff(14295,plain,
% 218.15/140.73 (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9873, 14294])).
% 218.15/140.73 tff(14296,plain,
% 218.15/140.73 ((~(v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5947, 9955])).
% 218.15/140.73 tff(14297,plain,
% 218.15/140.73 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14296, 5184])).
% 218.15/140.73 tff(14298,plain,
% 218.15/140.73 (v121(constB69, 1) <=> v124(constB69, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11321, 10515])).
% 218.15/140.73 tff(14299,plain,
% 218.15/140.73 ((~v113(constB69)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10536, 2117])).
% 218.15/140.73 tff(14300,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14299, 10419])).
% 218.15/140.73 tff(14301,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 1) <=> b001(1)))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14302,plain,
% 218.15/140.73 (($false | $false | (v124(constB69, 1) <=> b001(1))) <=> (v124(constB69, 1) <=> b001(1))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14303,plain,
% 218.15/140.73 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b001(1))) <=> ($false | $false | (v124(constB69, 1) <=> b001(1)))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[402, 401])).
% 218.15/140.73 tff(14304,plain,
% 218.15/140.73 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b001(1))) <=> (v124(constB69, 1) <=> b001(1))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14303, 14302])).
% 218.15/140.73 tff(14305,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 1) <=> b001(1)))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[14304])).
% 218.15/140.73 tff(14306,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 1) <=> b001(1)))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14305, 14301])).
% 218.15/140.73 tff(14307,plain,
% 218.15/140.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB69, 1) <=> b001(1)))),
% 218.15/140.73 inference(quant_inst,[status(thm)],[])).
% 218.15/140.73 tff(14308,plain,
% 218.15/140.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 1) <=> b001(1))),
% 218.15/140.73 inference(modus_ponens,[status(thm)],[14307, 14306])).
% 218.15/140.73 tff(14309,plain,
% 218.15/140.73 (v124(constB69, 1) <=> b001(1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14308, 14300])).
% 218.15/140.73 tff(14310,plain,
% 218.15/140.73 ((~(v124(constB69, 1) <=> b001(1))) | (~v124(constB69, 1)) | b001(1)),
% 218.15/140.73 inference(tautology,[status(thm)],[])).
% 218.15/140.73 tff(14311,plain,
% 218.15/140.73 ((~(v124(constB69, 1) <=> b001(1))) | (~v124(constB69, 1))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14310, 1885])).
% 218.15/140.73 tff(14312,plain,
% 218.15/140.73 (~v124(constB69, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14311, 14309])).
% 218.15/140.73 tff(14313,plain,
% 218.15/140.73 ((~(v121(constB69, 1) <=> v124(constB69, 1))) | (~v121(constB69, 1))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11744, 14312])).
% 218.15/140.73 tff(14314,plain,
% 218.15/140.73 (~v121(constB69, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14313, 14298])).
% 218.15/140.73 tff(14315,plain,
% 218.15/140.73 ((~(v123(constB70, 1) <=> v121(constB69, 1))) | (~v123(constB70, 1))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11741, 14314])).
% 218.15/140.73 tff(14316,plain,
% 218.15/140.73 (~v123(constB70, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14315, 11294])).
% 218.15/140.73 tff(14317,plain,
% 218.15/140.73 (~v84(constB70, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11739, 14316, 11725])).
% 218.15/140.73 tff(14318,plain,
% 218.15/140.73 (~v84(constB71, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11737, 14317])).
% 218.15/140.73 tff(14319,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 0) <=> b001(0)))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14320,plain,
% 218.15/140.73 (($false | $false | (v124(constB69, 0) <=> b001(0))) <=> (v124(constB69, 0) <=> b001(0))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14321,plain,
% 218.15/140.73 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b001(0))) <=> ($false | $false | (v124(constB69, 0) <=> b001(0)))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[250, 249])).
% 218.15/140.73 tff(14322,plain,
% 218.15/140.73 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b001(0))) <=> (v124(constB69, 0) <=> b001(0))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14321, 14320])).
% 218.15/140.73 tff(14323,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 0) <=> b001(0)))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[14322])).
% 218.15/140.73 tff(14324,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 0) <=> b001(0)))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14323, 14319])).
% 218.15/140.73 tff(14325,plain,
% 218.15/140.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB69, 0) <=> b001(0)))),
% 218.15/140.73 inference(quant_inst,[status(thm)],[])).
% 218.15/140.73 tff(14326,plain,
% 218.15/140.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (v124(constB69, 0) <=> b001(0))),
% 218.15/140.73 inference(modus_ponens,[status(thm)],[14325, 14324])).
% 218.15/140.73 tff(14327,plain,
% 218.15/140.73 (v124(constB69, 0) <=> b001(0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14326, 14300])).
% 218.15/140.73 tff(14328,plain,
% 218.15/140.73 ((~(v124(constB69, 0) <=> b001(0))) | v124(constB69, 0) | (~b001(0))),
% 218.15/140.73 inference(tautology,[status(thm)],[])).
% 218.15/140.73 tff(14329,plain,
% 218.15/140.73 ((~(v124(constB69, 0) <=> b001(0))) | v124(constB69, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14328, 1940])).
% 218.15/140.73 tff(14330,plain,
% 218.15/140.73 (v124(constB69, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14329, 14327])).
% 218.15/140.73 tff(14331,plain,
% 218.15/140.73 ((~(v121(constB69, 0) <=> v124(constB69, 0))) | v121(constB69, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11182, 14330])).
% 218.15/140.73 tff(14332,plain,
% 218.15/140.73 (v121(constB69, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14331, 10670])).
% 218.15/140.73 tff(14333,plain,
% 218.15/140.73 ((~(v123(constB70, 0) <=> v121(constB69, 0))) | v123(constB70, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11188, 14332])).
% 218.15/140.73 tff(14334,plain,
% 218.15/140.73 (v123(constB70, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14333, 10661])).
% 218.15/140.73 tff(14335,plain,
% 218.15/140.73 (v84(constB70, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11191, 14334, 11001])).
% 218.15/140.73 tff(14336,plain,
% 218.15/140.73 (v84(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10924, 14335])).
% 218.15/140.73 tff(14337,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[6000, 14336, 14318, 14297, 14295])).
% 218.15/140.73 tff(14338,plain,((~v113(constB69)) | (~(v84(constB70, 0) <=> v123(constB70, 0))) | (~(v84(constB70, 1) <=> v123(constB70, 1))) | v114(constB71)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14339,plain,
% 218.15/140.73 (~v113(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14338, 9955, 11725, 11001])).
% 218.15/140.73 tff(14340,plain,
% 218.15/140.73 (v113(constB69) | (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10415, 11211])).
% 218.15/140.73 tff(14341,plain,
% 218.15/140.73 (v84(constB69, 0) | v84(constB69, 1) | v84(constB69, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14340, 14339])).
% 218.15/140.73 tff(14342,plain,
% 218.15/140.73 (~v84(constB70, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14279, 12944, 11002, 14341, 11004, 11003])).
% 218.15/140.73 tff(14343,plain,
% 218.15/140.73 (~v117(constB69)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10796, 14342])).
% 218.15/140.73 tff(14344,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))), introduced(assumption)).
% 218.15/140.73 tff(14345,assumption,(~v117(constB69)), introduced(assumption)).
% 218.15/140.73 tff(14346,assumption,(~v113(constB69)), introduced(assumption)).
% 218.15/140.73 tff(14347,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14260, 1807, 14250, 14346, 14345, 14246, 11116, 14244, 14344])).
% 218.15/140.73 tff(14348,plain,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B))) | v114(constB69) | v113(constB69) | v117(constB69) | v118(constB69) | v115(constB69) | (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14349,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14348, 14212, 10640, 14343, 14339, 14292, 14291])).
% 218.15/140.73 tff(14350,assumption,(v124(constB69, 1)), introduced(assumption)).
% 218.15/140.73 tff(14351,plain,
% 218.15/140.73 (~(v124(constB69, 1) <=> b001(1))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14310, 1885, 14350])).
% 218.15/140.73 tff(14352,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))), introduced(assumption)).
% 218.15/140.73 tff(14353,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14308, 14352, 14351])).
% 218.15/140.73 tff(14354,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))) | (~v124(constB69, 1))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14355,plain,
% 218.15/140.73 (~v124(constB69, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14354, 14349])).
% 218.15/140.73 tff(14356,plain,
% 218.15/140.73 (~v121(constB69, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11745, 14355])).
% 218.15/140.73 tff(14357,assumption,(~(v123(constB70, 1) <=> v121(constB69, 1))), introduced(assumption)).
% 218.15/140.73 tff(14358,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11293, 10494, 14357])).
% 218.15/140.73 tff(14359,plain,(v123(constB70, 1) <=> v121(constB69, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14360,plain,
% 218.15/140.73 ((~v123(constB70, 1)) | v121(constB69, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11741, 14359])).
% 218.15/140.73 tff(14361,plain,
% 218.15/140.73 (~v123(constB70, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14360, 14356])).
% 218.15/140.73 tff(14362,plain,
% 218.15/140.73 (~v84(constB70, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11739, 14361, 11725])).
% 218.15/140.73 tff(14363,plain,
% 218.15/140.73 (~v84(constB71, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11737, 14362])).
% 218.15/140.73 tff(14364,plain,
% 218.15/140.73 (~v84(constB71, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11200, 14342])).
% 218.15/140.73 tff(14365,plain,
% 218.15/140.73 (~v84(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5996, 14297, 14364, 14363])).
% 218.15/140.73 tff(14366,plain,
% 218.15/140.73 (~v84(constB70, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10924, 14365])).
% 218.15/140.73 tff(14367,plain,
% 218.15/140.73 (~v123(constB70, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11191, 14366, 11001])).
% 218.15/140.73 tff(14368,plain,
% 218.15/140.73 (~v121(constB69, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11189, 14367])).
% 218.15/140.73 tff(14369,plain,
% 218.15/140.73 (~v124(constB69, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11183, 14368])).
% 218.15/140.73 tff(14370,plain,
% 218.15/140.73 (~(v124(constB69, 0) <=> b001(0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14328, 1940, 14369])).
% 218.15/140.73 tff(14371,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14326, 14349, 14370])).
% 218.15/140.73 tff(14372,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b110(B)))) | (~(v84(constB70, 0) <=> v123(constB70, 0))) | v114(constB71) | (~(v84(constB70, 1) <=> v123(constB70, 1))) | (~(v84(constB69, 2) | (~v84(constB69, 0)) | (~v84(constB69, 1)))) | (~(v84(constB68, 1) <=> v123(constB68, 1))) | (~(v84(constB68, 2) <=> v123(constB68, 2))) | (~(v84(constB68, 0) <=> v123(constB68, 0)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14373,plain,
% 218.15/140.73 (v114(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14372, 14290, 14187, 14289, 14193, 14186, 14185, 14184])).
% 218.15/140.73 tff(14374,plain,
% 218.15/140.73 (v123(constB72, 0) <=> v121(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9894, 9746])).
% 218.15/140.73 tff(14375,assumption,(v114(constB71)), introduced(assumption)).
% 218.15/140.73 tff(14376,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11627, 2418, 14375])).
% 218.15/140.73 tff(14377,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 0) <=> b010(0)))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14378,plain,
% 218.15/140.73 (($false | $false | (v124(constB71, 0) <=> b010(0))) <=> (v124(constB71, 0) <=> b010(0))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14379,plain,
% 218.15/140.73 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b010(0))) <=> ($false | $false | (v124(constB71, 0) <=> b010(0)))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[250, 249])).
% 218.15/140.73 tff(14380,plain,
% 218.15/140.73 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b010(0))) <=> (v124(constB71, 0) <=> b010(0))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14379, 14378])).
% 218.15/140.73 tff(14381,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 0) <=> b010(0)))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[14380])).
% 218.15/140.73 tff(14382,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 0) <=> b010(0)))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14381, 14377])).
% 218.15/140.73 tff(14383,plain,
% 218.15/140.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB71, 0) <=> b010(0)))),
% 218.15/140.73 inference(quant_inst,[status(thm)],[])).
% 218.15/140.73 tff(14384,plain,
% 218.15/140.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 0) <=> b010(0))),
% 218.15/140.73 inference(modus_ponens,[status(thm)],[14383, 14382])).
% 218.15/140.73 tff(14385,plain,
% 218.15/140.73 (v124(constB71, 0) <=> b010(0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14384, 14376])).
% 218.15/140.73 tff(14386,plain,
% 218.15/140.73 ((~(v124(constB71, 0) <=> b010(0))) | (~v124(constB71, 0)) | b010(0)),
% 218.15/140.73 inference(tautology,[status(thm)],[])).
% 218.15/140.73 tff(14387,plain,
% 218.15/140.73 ((~(v124(constB71, 0) <=> b010(0))) | (~v124(constB71, 0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14386, 2437])).
% 218.15/140.73 tff(14388,plain,
% 218.15/140.73 (~v124(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14387, 14385])).
% 218.15/140.73 tff(14389,plain,
% 218.15/140.73 ((~(v121(constB71, 0) <=> v124(constB71, 0))) | (~v121(constB71, 0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11369, 14388])).
% 218.15/140.73 tff(14390,plain,
% 218.15/140.73 (~v121(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14389, 11475])).
% 218.15/140.73 tff(14391,plain,
% 218.15/140.73 (v113(constB71) | v114(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5945, 14375])).
% 218.15/140.73 tff(14392,plain,
% 218.15/140.73 ((~(v112(constB71) <=> (v113(constB71) | v114(constB71)))) | v112(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5942, 14391])).
% 218.15/140.73 tff(14393,plain,
% 218.15/140.73 (v112(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14392, 5182])).
% 218.15/140.73 tff(14394,plain,
% 218.15/140.73 (v112(constB71) | v115(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5940, 14393])).
% 218.15/140.73 tff(14395,plain,
% 218.15/140.73 (v111(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5937, 14394, 5180])).
% 218.15/140.73 tff(14396,plain,
% 218.15/140.73 (v111(constB71) | v116(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5935, 14395])).
% 218.15/140.73 tff(14397,plain,
% 218.15/140.73 (v110(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5932, 14396, 5178])).
% 218.15/140.73 tff(14398,plain,
% 218.15/140.73 (v110(constB71) | v117(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5930, 14397])).
% 218.15/140.73 tff(14399,plain,
% 218.15/140.73 (v109(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5927, 14398, 5176])).
% 218.15/140.73 tff(14400,plain,
% 218.15/140.73 (v109(constB71) | v118(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5925, 14399])).
% 218.15/140.73 tff(14401,plain,
% 218.15/140.73 (v108(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5922, 14400, 5174])).
% 218.15/140.73 tff(14402,plain,
% 218.15/140.73 (v108(constB71) | v119(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5920, 14401])).
% 218.15/140.73 tff(14403,plain,
% 218.15/140.73 (v107(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5917, 14402, 5172])).
% 218.15/140.73 tff(14404,plain,
% 218.15/140.73 (~((~v107(constB71)) | (~v120(constB71)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5915, 14403])).
% 218.15/140.73 tff(14405,plain,
% 218.15/140.73 (v106(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5907, 14404])).
% 218.15/140.73 tff(14406,plain,
% 218.15/140.73 (v105(constB71) | v106(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5904, 14405])).
% 218.15/140.73 tff(14407,plain,
% 218.15/140.73 (v102(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5902, 14406])).
% 218.15/140.73 tff(14408,plain,
% 218.15/140.73 (v104(constB72)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9623, 14407])).
% 218.15/140.73 tff(14409,plain,
% 218.15/140.73 (~((~v95(constB72)) | (~v104(constB72)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9654, 14408])).
% 218.15/140.73 tff(14410,plain,
% 218.15/140.73 (v94(constB72)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9657, 14409])).
% 218.15/140.73 tff(14411,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9665, 14410])).
% 218.15/140.73 tff(14412,plain,
% 218.15/140.73 (v84(constB72, 0) <=> v123(constB72, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9830, 14411])).
% 218.15/140.73 tff(14413,plain,
% 218.15/140.73 (v123(constB72, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11687, 14412])).
% 218.15/140.73 tff(14414,plain,
% 218.15/140.73 ((~(v123(constB72, 0) <=> v121(constB71, 0))) | v121(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11372, 14413])).
% 218.15/140.73 tff(14415,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14414, 14390, 14374])).
% 218.15/140.73 tff(14416,plain,((~v114(constB71)) | (~v84(constB72, 0))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14417,plain,
% 218.15/140.73 (~v84(constB72, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14416, 14373])).
% 218.15/140.73 tff(14418,plain,
% 218.15/140.73 (~v123(constB72, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11821, 14417])).
% 218.15/140.73 tff(14419,plain,
% 218.15/140.73 (~v121(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9898, 14418])).
% 218.15/140.73 tff(14420,plain,
% 218.15/140.73 (~v124(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9912, 14419])).
% 218.15/140.73 tff(14421,plain,
% 218.15/140.73 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9982, 14420])).
% 218.15/140.73 tff(14422,plain,
% 218.15/140.73 (~v113(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11540, 14421])).
% 218.15/140.73 tff(14423,assumption,(~(v108(constB73) | v119(constB73))), introduced(assumption)).
% 218.15/140.73 tff(14424,plain,
% 218.15/140.73 (~v108(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[3983, 14423])).
% 218.15/140.73 tff(14425,plain,
% 218.15/140.73 (~(v109(constB73) | v118(constB73))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4541, 14424])).
% 218.15/140.73 tff(14426,plain,
% 218.15/140.73 (~v109(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4002, 14425])).
% 218.15/140.73 tff(14427,plain,
% 218.15/140.73 (~(v110(constB73) | v117(constB73))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4547, 14426])).
% 218.15/140.73 tff(14428,plain,
% 218.15/140.73 (~v117(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4007, 14427])).
% 218.15/140.73 tff(14429,plain,
% 218.15/140.73 (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11421, 14428])).
% 218.15/140.73 tff(14430,assumption,(~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))), introduced(assumption)).
% 218.15/140.73 tff(14431,plain,
% 218.15/140.73 ((~(v113(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))))) | v113(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4037, 14430])).
% 218.15/140.73 tff(14432,plain,
% 218.15/140.73 (v113(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14431, 4013])).
% 218.15/140.73 tff(14433,plain,
% 218.15/140.73 (v113(constB73) | v114(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4035, 14432])).
% 218.15/140.73 tff(14434,plain,
% 218.15/140.73 ((~(v112(constB73) <=> (v113(constB73) | v114(constB73)))) | v112(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4032, 14433])).
% 218.15/140.73 tff(14435,plain,
% 218.15/140.73 (v112(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14434, 4015])).
% 218.15/140.73 tff(14436,plain,
% 218.15/140.73 (v112(constB73) | v115(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4030, 14435])).
% 218.15/140.73 tff(14437,assumption,(~v109(constB73)), introduced(assumption)).
% 218.15/140.73 tff(14438,plain,
% 218.15/140.73 ((~(v109(constB73) <=> (v110(constB73) | v117(constB73)))) | (~(v110(constB73) | v117(constB73)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4004, 14437])).
% 218.15/140.73 tff(14439,plain,
% 218.15/140.73 (~(v110(constB73) | v117(constB73))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14438, 4001])).
% 218.15/140.73 tff(14440,plain,
% 218.15/140.73 (~v110(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4020, 14439])).
% 218.15/140.73 tff(14441,plain,
% 218.15/140.73 ((~(v110(constB73) <=> (v111(constB73) | v116(constB73)))) | (~(v111(constB73) | v116(constB73)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4022, 14440])).
% 218.15/140.73 tff(14442,plain,
% 218.15/140.73 (~(v111(constB73) | v116(constB73))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14441, 4019])).
% 218.15/140.73 tff(14443,plain,
% 218.15/140.73 (~v111(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4025, 14442])).
% 218.15/140.73 tff(14444,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4027, 14443, 14436, 4017])).
% 218.15/140.73 tff(14445,plain,(v109(constB73) | (v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14446,plain,
% 218.15/140.73 (v84(constB73, 0) | v84(constB73, 1) | v84(constB73, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14445, 14426])).
% 218.15/140.73 tff(14447,plain,
% 218.15/140.73 (~v119(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4042, 14423])).
% 218.15/140.73 tff(14448,plain,
% 218.15/140.73 (v119(constB73) | (v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4044, 9563])).
% 218.15/140.73 tff(14449,plain,
% 218.15/140.73 (v84(constB73, 0) | (~v84(constB73, 1)) | (~v84(constB73, 2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14448, 14447])).
% 218.15/140.73 tff(14450,plain,
% 218.15/140.73 (~v110(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4020, 14427])).
% 218.15/140.73 tff(14451,plain,
% 218.15/140.73 ((~(v110(constB73) <=> (v111(constB73) | v116(constB73)))) | (~(v111(constB73) | v116(constB73)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4022, 14450])).
% 218.15/140.73 tff(14452,plain,
% 218.15/140.73 (~(v111(constB73) | v116(constB73))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14451, 4019])).
% 218.15/140.73 tff(14453,plain,
% 218.15/140.73 (~v111(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4025, 14452])).
% 218.15/140.73 tff(14454,plain,
% 218.15/140.73 ((~(v111(constB73) <=> (v112(constB73) | v115(constB73)))) | (~(v112(constB73) | v115(constB73)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4027, 14453])).
% 218.15/140.73 tff(14455,plain,
% 218.15/140.73 (~(v112(constB73) | v115(constB73))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14454, 4017])).
% 218.15/140.73 tff(14456,plain,
% 218.15/140.73 (~v115(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4054, 14455])).
% 218.15/140.73 tff(14457,plain,
% 218.15/140.73 (v115(constB73) | (v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4056, 9781])).
% 218.15/140.73 tff(14458,plain,
% 218.15/140.73 (v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14457, 14456])).
% 218.15/140.73 tff(14459,plain,
% 218.15/140.73 (v84(constB73, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4075, 14458, 14449, 14446, 14429])).
% 218.15/140.73 tff(14460,plain,
% 218.15/140.73 (~v118(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[3988, 14425])).
% 218.15/140.73 tff(14461,plain,
% 218.15/140.73 (v84(constB73, 1) | (~v84(constB73, 0)) | (~v84(constB73, 2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9698, 14460])).
% 218.15/140.73 tff(14462,plain,
% 218.15/140.73 (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4529, 4524])).
% 218.15/140.73 tff(14463,plain,
% 218.15/140.73 (~(v84(constB73, 2) | (~v84(constB73, 0)) | (~v84(constB73, 1)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4097, 14462, 4091, 4092])).
% 218.15/140.73 tff(14464,plain,
% 218.15/140.73 (~(v111(constB73) | v116(constB73))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4022, 4524, 4019])).
% 218.15/140.73 tff(14465,plain,
% 218.15/140.73 (~v116(constB73)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4085, 14464])).
% 218.15/140.73 tff(14466,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4087, 14465, 14463, 4084])).
% 218.15/140.73 tff(14467,plain,(v110(constB73) | (~v84(constB73, 0)) | v84(constB73, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14468,plain,
% 218.15/140.73 (v84(constB73, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14467, 14459, 14450])).
% 218.15/140.73 tff(14469,plain,
% 218.15/140.73 (v84(constB73, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[4099, 14468, 14461, 14459])).
% 218.15/140.73 tff(14470,plain,
% 218.15/140.73 (v84(constB72, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[10077, 14469])).
% 218.15/140.73 tff(14471,plain,
% 218.15/140.73 (v84(constB72, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11378, 14459])).
% 218.15/140.73 tff(14472,plain,
% 218.15/140.73 (v84(constB72, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11429, 14468])).
% 218.15/140.73 tff(14473,plain,
% 218.15/140.73 (~(v84(constB72, 2) <=> v84(constB71, 2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9996, 9861, 9995])).
% 218.15/140.73 tff(14474,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))), introduced(assumption)).
% 218.15/140.73 tff(14475,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[6079, 14474, 14473])).
% 218.15/140.73 tff(14476,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))) | v84(constB71, 2) | (~v84(constB72, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14477,plain,
% 218.15/140.73 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v84(constB71, B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14476, 9861, 9995])).
% 218.15/140.73 tff(14478,plain,
% 218.15/140.73 (v94(constB72)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5877, 14477])).
% 218.15/140.73 tff(14479,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9665, 14478])).
% 218.15/140.73 tff(14480,plain,
% 218.15/140.73 (v84(constB72, 0) <=> v123(constB72, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9830, 14479])).
% 218.15/140.73 tff(14481,plain,
% 218.15/140.73 (v123(constB72, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11687, 14480])).
% 218.15/140.73 tff(14482,plain,
% 218.15/140.73 (v121(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11373, 14481])).
% 218.15/140.73 tff(14483,plain,
% 218.15/140.73 ((~(v121(constB71, 0) <=> v124(constB71, 0))) | v124(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11369, 14482])).
% 218.15/140.73 tff(14484,plain,
% 218.15/140.73 (v124(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14483, 11475])).
% 218.15/140.73 tff(14485,plain,
% 218.15/140.73 (~(v124(constB71, 0) <=> b100(0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11366, 3674, 14484])).
% 218.15/140.73 tff(14486,plain,
% 218.15/140.73 (~v114(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14416, 9883])).
% 218.15/140.73 tff(14487,plain,
% 218.15/140.73 ((~(v114(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5947, 14486])).
% 218.15/140.73 tff(14488,plain,
% 218.15/140.73 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14487, 5184])).
% 218.15/140.73 tff(14489,plain,
% 218.15/140.73 (~v113(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11573, 9995])).
% 218.15/140.73 tff(14490,plain,
% 218.15/140.73 ((~(v113(constB71) <=> (~(v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))))) | (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5972, 14489])).
% 218.15/140.73 tff(14491,plain,
% 218.15/140.73 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14490, 5696])).
% 218.15/140.73 tff(14492,plain,
% 218.15/140.73 (v84(constB71, 1)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9877, 14491, 14488, 9861])).
% 218.15/140.73 tff(14493,plain,
% 218.15/140.73 (v112(constB71) | v115(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5955, 11499])).
% 218.15/140.73 tff(14494,plain,
% 218.15/140.73 (v111(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5937, 14493, 5180])).
% 218.15/140.73 tff(14495,plain,
% 218.15/140.73 (v111(constB71) | v116(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5935, 14494])).
% 218.15/140.73 tff(14496,plain,
% 218.15/140.73 (v110(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5932, 14495, 5178])).
% 218.15/140.73 tff(14497,plain,
% 218.15/140.73 (v110(constB71) | v117(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5930, 14496])).
% 218.15/140.73 tff(14498,plain,
% 218.15/140.73 (v109(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5927, 14497, 5176])).
% 218.15/140.73 tff(14499,plain,
% 218.15/140.73 (v109(constB71) | v118(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5925, 14498])).
% 218.15/140.73 tff(14500,plain,
% 218.15/140.73 (v108(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5922, 14499, 5174])).
% 218.15/140.73 tff(14501,plain,
% 218.15/140.73 (v108(constB71) | v119(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5920, 14500])).
% 218.15/140.73 tff(14502,plain,
% 218.15/140.73 (v107(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5917, 14501, 5172])).
% 218.15/140.73 tff(14503,plain,
% 218.15/140.73 (~((~v107(constB71)) | (~v120(constB71)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5915, 14502])).
% 218.15/140.73 tff(14504,plain,
% 218.15/140.73 (v106(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5907, 14503])).
% 218.15/140.73 tff(14505,plain,
% 218.15/140.73 (v105(constB71) | v106(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5904, 14504])).
% 218.15/140.73 tff(14506,plain,
% 218.15/140.73 (v102(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5902, 14505])).
% 218.15/140.73 tff(14507,plain,
% 218.15/140.73 (v104(constB72)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9623, 14506])).
% 218.15/140.73 tff(14508,plain,
% 218.15/140.73 (~((~v95(constB72)) | (~v104(constB72)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9654, 14507])).
% 218.15/140.73 tff(14509,plain,
% 218.15/140.73 (v94(constB72)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9657, 14508])).
% 218.15/140.73 tff(14510,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9665, 14509])).
% 218.15/140.73 tff(14511,plain,
% 218.15/140.73 (v84(constB72, 2) <=> v123(constB72, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9676, 14510])).
% 218.15/140.73 tff(14512,plain,
% 218.15/140.73 (v123(constB72, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11553, 14511])).
% 218.15/140.73 tff(14513,plain,
% 218.15/140.73 ((~(v123(constB72, 2) <=> v121(constB71, 2))) | v121(constB71, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11555, 14512])).
% 218.15/140.73 tff(14514,plain,
% 218.15/140.73 (v121(constB71, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14513, 11426])).
% 218.15/140.73 tff(14515,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11508, 11499])).
% 218.15/140.73 tff(14516,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | (v124(constB71, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | (v124(constB71, 2) <=> b011(2)))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14517,plain,
% 218.15/140.73 (($false | $false | (v124(constB71, 2) <=> b011(2))) <=> (v124(constB71, 2) <=> b011(2))),
% 218.15/140.73 inference(rewrite,[status(thm)],[])).
% 218.15/140.73 tff(14518,plain,
% 218.15/140.73 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b011(2))) <=> ($false | $false | (v124(constB71, 2) <=> b011(2)))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.73 tff(14519,plain,
% 218.15/140.73 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b011(2))) <=> (v124(constB71, 2) <=> b011(2))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14518, 14517])).
% 218.15/140.73 tff(14520,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | (v124(constB71, 2) <=> b011(2)))),
% 218.15/140.73 inference(monotonicity,[status(thm)],[14519])).
% 218.15/140.73 tff(14521,plain,
% 218.15/140.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | (v124(constB71, 2) <=> b011(2)))),
% 218.15/140.73 inference(transitivity,[status(thm)],[14520, 14516])).
% 218.15/140.73 tff(14522,plain,
% 218.15/140.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b011(2)))),
% 218.15/140.73 inference(quant_inst,[status(thm)],[])).
% 218.15/140.73 tff(14523,plain,
% 218.15/140.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b011(B)))) | (v124(constB71, 2) <=> b011(2))),
% 218.15/140.73 inference(modus_ponens,[status(thm)],[14522, 14521])).
% 218.15/140.73 tff(14524,plain,
% 218.15/140.73 (v124(constB71, 2) <=> b011(2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14523, 14515])).
% 218.15/140.73 tff(14525,plain,
% 218.15/140.73 ((~(v124(constB71, 2) <=> b011(2))) | (~v124(constB71, 2)) | b011(2)),
% 218.15/140.73 inference(tautology,[status(thm)],[])).
% 218.15/140.73 tff(14526,plain,
% 218.15/140.73 ((~(v124(constB71, 2) <=> b011(2))) | (~v124(constB71, 2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14525, 2569])).
% 218.15/140.73 tff(14527,plain,
% 218.15/140.73 (~v124(constB71, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14526, 14524])).
% 218.15/140.73 tff(14528,plain,
% 218.15/140.73 ((~(v121(constB71, 2) <=> v124(constB71, 2))) | (~v121(constB71, 2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11570, 14527])).
% 218.15/140.73 tff(14529,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14528, 14514, 11425])).
% 218.15/140.73 tff(14530,plain,((~v115(constB71)) | (~v84(constB72, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14531,plain,
% 218.15/140.73 (~v115(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14530, 9995])).
% 218.15/140.73 tff(14532,plain,
% 218.15/140.73 ((~(v115(constB71) <=> (~(v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))))) | (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5957, 14531])).
% 218.15/140.73 tff(14533,plain,
% 218.15/140.73 (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14532, 5713])).
% 218.15/140.73 tff(14534,plain,
% 218.15/140.73 (v84(constB71, 0)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[5991, 14491, 14533, 9865, 9863])).
% 218.15/140.73 tff(14535,plain,
% 218.15/140.73 (~((~v84(constB71, 1)) | v84(constB71, 2) | (~v84(constB71, 0)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9879, 14534, 14492])).
% 218.15/140.73 tff(14536,plain,
% 218.15/140.73 (v116(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[9595, 14535, 5730])).
% 218.15/140.73 tff(14537,plain,
% 218.15/140.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b100(B)))),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11354, 2230, 14536])).
% 218.15/140.73 tff(14538,plain,
% 218.15/140.73 ($false),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[11364, 14537, 14485])).
% 218.15/140.73 tff(14539,plain,(v84(constB71, 2) | (~v84(constB72, 0)) | (~v84(constB72, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.73 tff(14540,plain,
% 218.15/140.73 (v84(constB71, 2)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14539, 14472, 14471])).
% 218.15/140.73 tff(14541,plain,
% 218.15/140.73 (~v114(constB71)),
% 218.15/140.73 inference(unit_resolution,[status(thm)],[14416, 14471])).
% 218.15/140.74 tff(14542,plain,
% 218.15/140.74 (~v115(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14530, 14472])).
% 218.15/140.74 tff(14543,plain,
% 218.15/140.74 (~v84(constB71, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9967, 14542, 9954, 9953, 14541, 14540])).
% 218.15/140.74 tff(14544,plain,
% 218.15/140.74 ((v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))) | v84(constB71, 1)),
% 218.15/140.74 inference(tautology,[status(thm)],[])).
% 218.15/140.74 tff(14545,plain,
% 218.15/140.74 (v84(constB71, 0) | (~v84(constB71, 1)) | (~v84(constB71, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14544, 14543])).
% 218.15/140.74 tff(14546,plain,
% 218.15/140.74 (v84(constB71, 0) | (~v84(constB71, 1)) | v84(constB71, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5714, 14540])).
% 218.15/140.74 tff(14547,plain,
% 218.15/140.74 (v84(constB71, 0) | v84(constB71, 1) | v84(constB71, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5697, 14540])).
% 218.15/140.74 tff(14548,plain,
% 218.15/140.74 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5690, 14540])).
% 218.15/140.74 tff(14549,plain,
% 218.15/140.74 (~v118(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11710, 14471])).
% 218.15/140.74 tff(14550,plain,
% 218.15/140.74 (v84(constB71, 1) | (~v84(constB71, 2)) | (~v84(constB71, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11712, 14549])).
% 218.15/140.74 tff(14551,plain,
% 218.15/140.74 (~v84(constB71, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[6000, 14550, 14548, 14543])).
% 218.15/140.74 tff(14552,plain,
% 218.15/140.74 (~(v84(constB71, 0) | v84(constB71, 1) | (~v84(constB71, 2)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5991, 14551, 14547, 14546, 14545])).
% 218.15/140.74 tff(14553,plain,
% 218.15/140.74 (v117(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[10290, 14552])).
% 218.15/140.74 tff(14554,plain,
% 218.15/140.74 (v110(constB71) | v117(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5965, 14553])).
% 218.15/140.74 tff(14555,plain,
% 218.15/140.74 ((~(v109(constB71) <=> (v110(constB71) | v117(constB71)))) | v109(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5927, 14554])).
% 218.15/140.74 tff(14556,plain,
% 218.15/140.74 (v109(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14555, 5176])).
% 218.15/140.74 tff(14557,plain,
% 218.15/140.74 (v109(constB71) | v118(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5925, 14556])).
% 218.15/140.74 tff(14558,plain,
% 218.15/140.74 (v108(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5922, 14557, 5174])).
% 218.15/140.74 tff(14559,plain,
% 218.15/140.74 (v108(constB71) | v119(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5920, 14558])).
% 218.15/140.74 tff(14560,plain,
% 218.15/140.74 (v107(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5917, 14559, 5172])).
% 218.15/140.74 tff(14561,plain,
% 218.15/140.74 (~((~v107(constB71)) | (~v120(constB71)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5915, 14560])).
% 218.15/140.74 tff(14562,plain,
% 218.15/140.74 (v106(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5907, 14561])).
% 218.15/140.74 tff(14563,plain,
% 218.15/140.74 (v105(constB71) | v106(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5904, 14562])).
% 218.15/140.74 tff(14564,plain,
% 218.15/140.74 (v102(constB71)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5902, 14563])).
% 218.15/140.74 tff(14565,plain,
% 218.15/140.74 (v104(constB72)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9623, 14564])).
% 218.15/140.74 tff(14566,plain,
% 218.15/140.74 (~((~v95(constB72)) | (~v104(constB72)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9654, 14565])).
% 218.15/140.74 tff(14567,plain,
% 218.15/140.74 (v94(constB72)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9657, 14566])).
% 218.15/140.74 tff(14568,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9665, 14567])).
% 218.15/140.74 tff(14569,plain,
% 218.15/140.74 (v84(constB72, 1) <=> v123(constB72, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9690, 14568])).
% 218.15/140.74 tff(14570,plain,
% 218.15/140.74 (v123(constB72, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[10074, 14569, 14470])).
% 218.15/140.74 tff(14571,plain,
% 218.15/140.74 (v121(constB71, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[10072, 14570])).
% 218.15/140.74 tff(14572,plain,
% 218.15/140.74 (v124(constB71, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[10058, 14571])).
% 218.15/140.74 tff(14573,plain,
% 218.15/140.74 (~(v124(constB71, 1) <=> b101(1))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[10043, 2330, 14572])).
% 218.15/140.74 tff(14574,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b101(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[10286, 2090, 14553])).
% 218.15/140.74 tff(14575,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[10041, 14574, 14573])).
% 218.15/140.74 tff(14576,plain,((v108(constB73) | v119(constB73)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b001(B))) | v113(constB71)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14577,plain,
% 218.15/140.74 (v108(constB73) | v119(constB73)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14576, 14421, 14422])).
% 218.15/140.74 tff(14578,plain,
% 218.15/140.74 (v107(constB73)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4535, 14577])).
% 218.15/140.74 tff(14579,plain,
% 218.15/140.74 (~((~v107(constB73)) | (~v120(constB73)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4557, 14578])).
% 218.15/140.74 tff(14580,plain,
% 218.15/140.74 (v106(constB73)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4560, 14579])).
% 218.15/140.74 tff(14581,plain,
% 218.15/140.74 (v105(constB73) | v106(constB73)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4562, 14580])).
% 218.15/140.74 tff(14582,plain,
% 218.15/140.74 (v102(constB73)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4565, 14581])).
% 218.15/140.74 tff(14583,plain,
% 218.15/140.74 (v104(constB74)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4568, 14582])).
% 218.15/140.74 tff(14584,plain,
% 218.15/140.74 (~((~v95(constB74)) | (~v104(constB74)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4602, 14583])).
% 218.15/140.74 tff(14585,plain,
% 218.15/140.74 (v94(constB74)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4605, 14584])).
% 218.15/140.74 tff(14586,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB74, B) <=> v123(constB74, B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4613, 14585])).
% 218.15/140.74 tff(14587,plain,
% 218.15/140.74 (v107(constB75)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5127, 14586])).
% 218.15/140.74 tff(14588,plain,
% 218.15/140.74 (~((~v107(constB75)) | (~v120(constB75)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4757, 14587])).
% 218.15/140.74 tff(14589,plain,
% 218.15/140.74 (v106(constB75)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4749, 14588])).
% 218.15/140.74 tff(14590,plain,
% 218.15/140.74 (v105(constB75) | v106(constB75)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4746, 14589])).
% 218.15/140.74 tff(14591,plain,
% 218.15/140.74 (v102(constB75)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4744, 14590])).
% 218.15/140.74 tff(14592,plain,
% 218.15/140.74 (v104(constB76)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4741, 14591])).
% 218.15/140.74 tff(14593,plain,
% 218.15/140.74 (~((~v95(constB76)) | (~v104(constB76)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4738, 14592])).
% 218.15/140.74 tff(14594,plain,
% 218.15/140.74 (v94(constB76)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4707, 14593])).
% 218.15/140.74 tff(14595,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB76, B) <=> v123(constB76, B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8182, 14594])).
% 218.15/140.74 tff(14596,plain,
% 218.15/140.74 (v84(constB76, 0) <=> v123(constB76, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8457, 14595])).
% 218.15/140.74 tff(14597,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))), introduced(assumption)).
% 218.15/140.74 tff(14598,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11627, 2418, 14375, 14597])).
% 218.15/140.74 tff(14599,plain,((~v114(constB71)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14600,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14599, 14373])).
% 218.15/140.74 tff(14601,assumption,(v124(constB71, 2)), introduced(assumption)).
% 218.15/140.74 tff(14602,plain,
% 218.15/140.74 ((~(v124(constB71, 2) <=> b010(2))) | (~v124(constB71, 2)) | b010(2)),
% 218.15/140.74 inference(tautology,[status(thm)],[])).
% 218.15/140.74 tff(14603,plain,
% 218.15/140.74 (~(v124(constB71, 2) <=> b010(2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14602, 2485, 14601])).
% 218.15/140.74 tff(14604,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 2) <=> b010(2)))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14605,plain,
% 218.15/140.74 (($false | $false | (v124(constB71, 2) <=> b010(2))) <=> (v124(constB71, 2) <=> b010(2))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14606,plain,
% 218.15/140.74 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b010(2))) <=> ($false | $false | (v124(constB71, 2) <=> b010(2)))),
% 218.15/140.74 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.74 tff(14607,plain,
% 218.15/140.74 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b010(2))) <=> (v124(constB71, 2) <=> b010(2))),
% 218.15/140.74 inference(transitivity,[status(thm)],[14606, 14605])).
% 218.15/140.74 tff(14608,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 2) <=> b010(2)))),
% 218.15/140.74 inference(monotonicity,[status(thm)],[14607])).
% 218.15/140.74 tff(14609,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 2) <=> b010(2)))),
% 218.15/140.74 inference(transitivity,[status(thm)],[14608, 14604])).
% 218.15/140.74 tff(14610,plain,
% 218.15/140.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB71, 2) <=> b010(2)))),
% 218.15/140.74 inference(quant_inst,[status(thm)],[])).
% 218.15/140.74 tff(14611,plain,
% 218.15/140.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (v124(constB71, 2) <=> b010(2))),
% 218.15/140.74 inference(modus_ponens,[status(thm)],[14610, 14609])).
% 218.15/140.74 tff(14612,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14611, 11610, 14603])).
% 218.15/140.74 tff(14613,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | (~v124(constB71, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14614,plain,
% 218.15/140.74 (~v124(constB71, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14613, 14600])).
% 218.15/140.74 tff(14615,plain,
% 218.15/140.74 ((~v121(constB71, 2)) | v124(constB71, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11570, 9735])).
% 218.15/140.74 tff(14616,plain,
% 218.15/140.74 (~v121(constB71, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14615, 14614])).
% 218.15/140.74 tff(14617,plain,
% 218.15/140.74 ((~v123(constB72, 2)) | v121(constB71, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11555, 9756])).
% 218.15/140.74 tff(14618,plain,
% 218.15/140.74 (~v123(constB72, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14617, 14616])).
% 218.15/140.74 tff(14619,plain,
% 218.15/140.74 (v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5600, 14198])).
% 218.15/140.74 tff(14620,plain,
% 218.15/140.74 ((~v117(constB69)) | (~(v84(constB69, 1) | v84(constB69, 0) | (~v84(constB69, 2))))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5602, 11827])).
% 218.15/140.74 tff(14621,plain,
% 218.15/140.74 (~v117(constB69)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14620, 14619])).
% 218.15/140.74 tff(14622,plain,
% 218.15/140.74 (v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5564, 14198])).
% 218.15/140.74 tff(14623,plain,
% 218.15/140.74 (~v114(constB69)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11866, 14622])).
% 218.15/140.74 tff(14624,plain,
% 218.15/140.74 (~v113(constB69)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11859, 14199])).
% 218.15/140.74 tff(14625,plain,
% 218.15/140.74 (v84(constB69, 1) | (~v84(constB69, 0)) | (~v84(constB69, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5612, 14198])).
% 218.15/140.74 tff(14626,plain,
% 218.15/140.74 (~v118(constB69)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11229, 14625])).
% 218.15/140.74 tff(14627,plain,
% 218.15/140.74 (v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5581, 14192])).
% 218.15/140.74 tff(14628,plain,
% 218.15/140.74 (~v115(constB69)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11855, 14627])).
% 218.15/140.74 tff(14629,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB69, B) <=> b001(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14348, 14628, 14193, 14626, 14624, 14623, 14621])).
% 218.15/140.74 tff(14630,plain,
% 218.15/140.74 (~v124(constB69, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14354, 14629])).
% 218.15/140.74 tff(14631,plain,
% 218.15/140.74 (~v121(constB69, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11745, 14630])).
% 218.15/140.74 tff(14632,plain,
% 218.15/140.74 (~v123(constB70, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14360, 14631])).
% 218.15/140.74 tff(14633,plain,
% 218.15/140.74 (~v84(constB70, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11739, 14632, 14290])).
% 218.15/140.74 tff(14634,plain,
% 218.15/140.74 (~v84(constB71, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11737, 14633])).
% 218.15/140.74 tff(14635,plain,
% 218.15/140.74 (v94(constB72)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9933, 14634])).
% 218.15/140.74 tff(14636,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9665, 14635])).
% 218.15/140.74 tff(14637,plain,
% 218.15/140.74 (v84(constB72, 2) <=> v123(constB72, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9678, 14636])).
% 218.15/140.74 tff(14638,plain,
% 218.15/140.74 (~v84(constB72, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11552, 14637, 14618])).
% 218.15/140.74 tff(14639,plain,
% 218.15/140.74 (~v84(constB73, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11429, 14638])).
% 218.15/140.74 tff(14640,plain,
% 218.15/140.74 (~v84(constB73, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11378, 14417])).
% 218.15/140.74 tff(14641,assumption,(~v124(constB71, 1)), introduced(assumption)).
% 218.15/140.74 tff(14642,plain,
% 218.15/140.74 (~(v124(constB71, 1) <=> b010(1))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11607, 2513, 14641])).
% 218.15/140.74 tff(14643,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11620, 14642, 11610])).
% 218.15/140.74 tff(14644,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB71, B) <=> b010(B)))) | v124(constB71, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14645,plain,
% 218.15/140.74 (v124(constB71, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14644, 14600])).
% 218.15/140.74 tff(14646,plain,
% 218.15/140.74 (v121(constB71, 1) | (~v124(constB71, 1))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11604, 10056])).
% 218.15/140.74 tff(14647,plain,
% 218.15/140.74 (v121(constB71, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14646, 14645])).
% 218.15/140.74 tff(14648,plain,
% 218.15/140.74 (v123(constB72, 1) | (~v121(constB71, 1))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11601, 10070])).
% 218.15/140.74 tff(14649,plain,
% 218.15/140.74 (v123(constB72, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14648, 14647])).
% 218.15/140.74 tff(14650,plain,
% 218.15/140.74 (v84(constB72, 1) <=> v123(constB72, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9690, 14636])).
% 218.15/140.74 tff(14651,plain,
% 218.15/140.74 (v84(constB72, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11598, 14650, 14649])).
% 218.15/140.74 tff(14652,plain,
% 218.15/140.74 (v84(constB73, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[6031, 14651])).
% 218.15/140.74 tff(14653,plain,
% 218.15/140.74 (~(v84(constB73, 2) | v84(constB73, 0) | (~v84(constB73, 1)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4073, 14652, 14640, 14639])).
% 218.15/140.74 tff(14654,plain,
% 218.15/140.74 (v115(constB73)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14457, 14653])).
% 218.15/140.74 tff(14655,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4979, 14654])).
% 218.15/140.74 tff(14656,plain,
% 218.15/140.74 (~v124(constB73, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4968, 14655])).
% 218.15/140.74 tff(14657,plain,
% 218.15/140.74 ((~v121(constB73, 2)) | v124(constB73, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4952, 8227])).
% 218.15/140.74 tff(14658,plain,
% 218.15/140.74 (~v121(constB73, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14657, 14656])).
% 218.15/140.74 tff(14659,plain,
% 218.15/140.74 ((~v123(constB74, 2)) | v121(constB73, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4949, 8233])).
% 218.15/140.74 tff(14660,plain,
% 218.15/140.74 (~v123(constB74, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14659, 14658])).
% 218.15/140.74 tff(14661,plain,
% 218.15/140.74 (v84(constB74, 2) <=> v123(constB74, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8208, 14586])).
% 218.15/140.74 tff(14662,plain,
% 218.15/140.74 (~v84(constB74, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4946, 14661, 14660])).
% 218.15/140.74 tff(14663,plain,
% 218.15/140.74 ((~v84(constB75, 2)) | v84(constB74, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[4840, 8241])).
% 218.15/140.74 tff(14664,plain,
% 218.15/140.74 (~v84(constB75, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14663, 14662])).
% 218.15/140.74 tff(14665,plain,
% 218.15/140.74 ((v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))) | v84(constB75, 2)),
% 218.15/140.74 inference(tautology,[status(thm)],[])).
% 218.15/140.74 tff(14666,plain,
% 218.15/140.74 (v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14665, 14664])).
% 218.15/140.74 tff(14667,plain,
% 218.15/140.74 (v124(constB73, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11667, 14655])).
% 218.15/140.74 tff(14668,plain,
% 218.15/140.74 (v121(constB73, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9811, 14667])).
% 218.15/140.74 tff(14669,plain,
% 218.15/140.74 (v123(constB74, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9814, 14668])).
% 218.15/140.74 tff(14670,plain,
% 218.15/140.74 (v84(constB74, 0) <=> v123(constB74, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9702, 14586])).
% 218.15/140.74 tff(14671,plain,
% 218.15/140.74 (v84(constB74, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9816, 14670, 14669])).
% 218.15/140.74 tff(14672,plain,
% 218.15/140.74 (v84(constB74, 1) <=> v123(constB74, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8272, 14586])).
% 218.15/140.74 tff(14673,assumption,(~(v124(constB73, 1) <=> b011(1))), introduced(assumption)).
% 218.15/140.74 tff(14674,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 1) <=> b011(1)))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14675,plain,
% 218.15/140.74 (($false | $false | (v124(constB73, 1) <=> b011(1))) <=> (v124(constB73, 1) <=> b011(1))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14676,plain,
% 218.15/140.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b011(1))) <=> ($false | $false | (v124(constB73, 1) <=> b011(1)))),
% 218.15/140.74 inference(monotonicity,[status(thm)],[402, 401])).
% 218.15/140.74 tff(14677,plain,
% 218.15/140.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b011(1))) <=> (v124(constB73, 1) <=> b011(1))),
% 218.15/140.74 inference(transitivity,[status(thm)],[14676, 14675])).
% 218.15/140.74 tff(14678,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 1) <=> b011(1)))),
% 218.15/140.74 inference(monotonicity,[status(thm)],[14677])).
% 218.15/140.74 tff(14679,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 1) <=> b011(1)))),
% 218.15/140.74 inference(transitivity,[status(thm)],[14678, 14674])).
% 218.15/140.74 tff(14680,plain,
% 218.15/140.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB73, 1) <=> b011(1)))),
% 218.15/140.74 inference(quant_inst,[status(thm)],[])).
% 218.15/140.74 tff(14681,plain,
% 218.15/140.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B)))) | (v124(constB73, 1) <=> b011(1))),
% 218.15/140.74 inference(modus_ponens,[status(thm)],[14680, 14679])).
% 218.15/140.74 tff(14682,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14681, 4958, 14673])).
% 218.15/140.74 tff(14683,plain,((v124(constB73, 1) <=> b011(1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB73, B) <=> b011(B))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14684,plain,
% 218.15/140.74 (v124(constB73, 1) <=> b011(1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14683, 14655])).
% 218.15/140.74 tff(14685,plain,
% 218.15/140.74 ((~(v124(constB73, 1) <=> b011(1))) | v124(constB73, 1) | (~b011(1))),
% 218.15/140.74 inference(tautology,[status(thm)],[])).
% 218.15/140.74 tff(14686,plain,
% 218.15/140.74 ((~(v124(constB73, 1) <=> b011(1))) | v124(constB73, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14685, 2593])).
% 218.15/140.74 tff(14687,plain,
% 218.15/140.74 (v124(constB73, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14686, 14684])).
% 218.15/140.74 tff(14688,plain,
% 218.15/140.74 ((~(v121(constB73, 1) <=> v124(constB73, 1))) | v121(constB73, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8286, 14687])).
% 218.15/140.74 tff(14689,plain,
% 218.15/140.74 (v121(constB73, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14688, 4989])).
% 218.15/140.74 tff(14690,plain,
% 218.15/140.74 ((~(v123(constB74, 1) <=> v121(constB73, 1))) | v123(constB74, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8289, 14689])).
% 218.15/140.74 tff(14691,plain,
% 218.15/140.74 (v123(constB74, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14690, 4998])).
% 218.15/140.74 tff(14692,plain,
% 218.15/140.74 (v84(constB74, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8292, 14691, 14672])).
% 218.15/140.74 tff(14693,plain,
% 218.15/140.74 (v84(constB75, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8297, 14692])).
% 218.15/140.74 tff(14694,plain,
% 218.15/140.74 (v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[6153, 14693])).
% 218.15/140.74 tff(14695,plain,
% 218.15/140.74 (v116(constB75)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9496, 14694, 14586, 14671, 14666])).
% 218.15/140.74 tff(14696,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB75, B) <=> b100(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9398, 14695])).
% 218.15/140.74 tff(14697,plain,
% 218.15/140.74 (~v124(constB75, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9216, 14696])).
% 218.15/140.74 tff(14698,plain,
% 218.15/140.74 (~v121(constB75, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8681, 14697])).
% 218.15/140.74 tff(14699,plain,
% 218.15/140.74 (~v123(constB76, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8684, 14698])).
% 218.15/140.74 tff(14700,plain,
% 218.15/140.74 (~v84(constB76, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8686, 14699, 14596])).
% 218.15/140.74 tff(14701,plain,
% 218.15/140.74 (~v84(constB77, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8689, 14700])).
% 218.15/140.74 tff(14702,plain,
% 218.15/140.74 (v124(constB77, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8696, 14701])).
% 218.15/140.74 tff(14703,plain,
% 218.15/140.74 (v121(constB77, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8698, 14702])).
% 218.15/140.74 tff(14704,plain,
% 218.15/140.74 (v123(constB78, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8700, 14703])).
% 218.15/140.74 tff(14705,plain,
% 218.15/140.74 (v84(constB78, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8705, 14704])).
% 218.15/140.74 tff(14706,plain,
% 218.15/140.74 (v84(constB76, 2) <=> v123(constB76, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8204, 14595])).
% 218.15/140.74 tff(14707,plain,
% 218.15/140.74 (v124(constB75, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9237, 14696])).
% 218.15/140.74 tff(14708,plain,
% 218.15/140.74 (v121(constB75, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8515, 14707])).
% 218.15/140.74 tff(14709,plain,
% 218.15/140.74 (v123(constB76, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8518, 14708])).
% 218.15/140.74 tff(14710,plain,
% 218.15/140.74 (v84(constB76, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8520, 14709, 14706])).
% 218.15/140.74 tff(14711,plain,
% 218.15/140.74 (v84(constB77, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9242, 14710])).
% 218.15/140.74 tff(14712,plain,
% 218.15/140.74 (v84(constB76, 1) <=> v123(constB76, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8191, 14595])).
% 218.15/140.74 tff(14713,plain,
% 218.15/140.74 (~v124(constB75, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9255, 14696])).
% 218.15/140.74 tff(14714,plain,
% 218.15/140.74 (~v121(constB75, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8549, 14713])).
% 218.15/140.74 tff(14715,plain,
% 218.15/140.74 ((~(v123(constB76, 1) <=> v121(constB75, 1))) | (~v123(constB76, 1))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8551, 14714])).
% 218.15/140.74 tff(14716,plain,
% 218.15/140.74 (~v123(constB76, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14715, 8167])).
% 218.15/140.74 tff(14717,plain,
% 218.15/140.74 ((~(v84(constB76, 1) <=> v123(constB76, 1))) | (~v84(constB76, 1))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8554, 14716])).
% 218.15/140.74 tff(14718,plain,
% 218.15/140.74 (~v84(constB76, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14717, 14712])).
% 218.15/140.74 tff(14719,plain,
% 218.15/140.74 (~v84(constB77, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8618, 14718])).
% 218.15/140.74 tff(14720,plain,
% 218.15/140.74 (~v84(constB78, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9293, 14719, 14701, 14711, 14705])).
% 218.15/140.74 tff(14721,plain,
% 218.15/140.74 (~v84(constB79, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8873, 14720])).
% 218.15/140.74 tff(14722,plain,
% 218.15/140.74 (v84(constB79, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[1202, 14705])).
% 218.15/140.74 tff(14723,plain,
% 218.15/140.74 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v84(constB77, B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[8711, 14705, 14701])).
% 218.15/140.74 tff(14724,plain,
% 218.15/140.74 (v94(constB78)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[1369, 14723])).
% 218.15/140.74 tff(14725,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[1498, 14724])).
% 218.15/140.74 tff(14726,plain,
% 218.15/140.74 (v84(constB78, 2) <=> v123(constB78, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[1507, 14725])).
% 218.15/140.74 tff(14727,plain,
% 218.15/140.74 (v84(constB77, 1) | (~v84(constB77, 2)) | (~v84(constB77, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[2159, 14701])).
% 218.15/140.74 tff(14728,plain,
% 218.15/140.74 (~(v84(constB77, 1) | (~v84(constB77, 2)) | v84(constB77, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9306, 14719, 14711, 14727])).
% 218.15/140.74 tff(14729,plain,
% 218.15/140.74 (v117(constB77)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9275, 14728])).
% 218.15/140.74 tff(14730,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB77, B) <=> b101(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9277, 14729])).
% 218.15/140.74 tff(14731,plain,
% 218.15/140.74 (v124(constB77, 2) <=> b101(2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9317, 14730])).
% 218.15/140.74 tff(14732,plain,
% 218.15/140.74 (v124(constB77, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9320, 14731])).
% 218.15/140.74 tff(14733,plain,
% 218.15/140.74 (v121(constB77, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9322, 14732])).
% 218.15/140.74 tff(14734,plain,
% 218.15/140.74 ((~(v123(constB78, 2) <=> v121(constB77, 2))) | v123(constB78, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[1605, 14733])).
% 218.15/140.74 tff(14735,plain,
% 218.15/140.74 (v123(constB78, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14734, 1543])).
% 218.15/140.74 tff(14736,plain,
% 218.15/140.74 ((~(v84(constB78, 2) <=> v123(constB78, 2))) | v84(constB78, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[1608, 14735])).
% 218.15/140.74 tff(14737,plain,
% 218.15/140.74 (v84(constB78, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14736, 14726])).
% 218.15/140.74 tff(14738,plain,
% 218.15/140.74 (v84(constB79, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9328, 14737])).
% 218.15/140.74 tff(14739,plain,
% 218.15/140.74 (~(v84(constB79, 1) | (~v84(constB79, 0)) | (~v84(constB79, 2)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[491, 14738, 14722, 14721])).
% 218.15/140.74 tff(14740,plain,
% 218.15/140.74 (v118(constB79)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[442, 14739])).
% 218.15/140.74 tff(14741,plain,
% 218.15/140.74 (v109(constB79) | v118(constB79)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[435, 14740])).
% 218.15/140.74 tff(14742,plain,
% 218.15/140.74 (v108(constB79)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[433, 14741])).
% 218.15/140.74 tff(14743,plain,
% 218.15/140.74 (v108(constB79) | v119(constB79)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[419, 14742])).
% 218.15/140.74 tff(14744,plain,
% 218.15/140.74 (v107(constB79)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[192, 14743])).
% 218.15/140.74 tff(14745,plain,
% 218.15/140.74 (~((~v107(constB79)) | (~v120(constB79)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[178, 14744])).
% 218.15/140.74 tff(14746,plain,
% 218.15/140.74 (v106(constB79)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[136, 14745])).
% 218.15/140.74 tff(14747,plain,
% 218.15/140.74 (v105(constB79) | v106(constB79)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[121, 14746])).
% 218.15/140.74 tff(14748,plain,
% 218.15/140.74 (v102(constB79)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[119, 14747])).
% 218.15/140.74 tff(14749,plain,
% 218.15/140.74 ((v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))) | (~v84(constB77, 2))),
% 218.15/140.74 inference(tautology,[status(thm)],[])).
% 218.15/140.74 tff(14750,plain,
% 218.15/140.74 (v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14749, 14711])).
% 218.15/140.74 tff(14751,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB81, B) <=> b001(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9387, 14743, 14595, 14696])).
% 218.15/140.74 tff(14752,plain,
% 218.15/140.74 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[9188, 14751, 994, 14750])).
% 218.15/140.74 tff(14753,plain,
% 218.15/140.74 (~v94(constB80)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[1708, 14752])).
% 218.15/140.74 tff(14754,plain,
% 218.15/140.74 ((~v95(constB80)) | (~v104(constB80))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[23, 14753])).
% 218.15/140.74 tff(14755,plain,
% 218.15/140.74 (~v104(constB80)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[90, 14754])).
% 218.15/140.74 tff(14756,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[107, 14755, 14748])).
% 218.15/140.74 tff(14757,plain,((~v118(constB67)) | (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14758,plain,
% 218.15/140.74 (~v118(constB67)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14757, 994])).
% 218.15/140.74 tff(14759,assumption,(~(v118(constB67) <=> (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))))), introduced(assumption)).
% 218.15/140.74 tff(14760,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5407, 394, 14759])).
% 218.15/140.74 tff(14761,plain,(v118(constB67) <=> (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14762,plain,
% 218.15/140.74 (v118(constB67) | (v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5411, 14761])).
% 218.15/140.74 tff(14763,plain,
% 218.15/140.74 (v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14762, 14758])).
% 218.15/140.74 tff(14764,assumption,(v114(constB67)), introduced(assumption)).
% 218.15/140.74 tff(14765,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[11964, 2418, 14764, 11953])).
% 218.15/140.74 tff(14766,plain,((~v114(constB67)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB67, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14767,plain,
% 218.15/140.74 (~v114(constB67)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14766, 11650])).
% 218.15/140.74 tff(14768,assumption,(~(v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))))), introduced(assumption)).
% 218.15/140.74 tff(14769,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5414, 298, 14768])).
% 218.15/140.74 tff(14770,plain,(v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14771,plain,
% 218.15/140.74 (v114(constB67) | (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5418, 14770])).
% 218.15/140.74 tff(14772,plain,
% 218.15/140.74 (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14771, 14767])).
% 218.15/140.74 tff(14773,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12732, 12723])).
% 218.15/140.74 tff(14774,plain,
% 218.15/140.74 ((~(v124(constB63, 0) <=> b100(0))) | (~v124(constB63, 0)) | b100(0)),
% 218.15/140.74 inference(tautology,[status(thm)],[])).
% 218.15/140.74 tff(14775,plain,
% 218.15/140.74 (~(v124(constB63, 0) <=> b100(0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14774, 3674, 13441])).
% 218.15/140.74 tff(14776,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 0) <=> b100(0)))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14777,plain,
% 218.15/140.74 (($false | $false | (v124(constB63, 0) <=> b100(0))) <=> (v124(constB63, 0) <=> b100(0))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14778,plain,
% 218.15/140.74 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b100(0))) <=> ($false | $false | (v124(constB63, 0) <=> b100(0)))),
% 218.15/140.74 inference(monotonicity,[status(thm)],[250, 249])).
% 218.15/140.74 tff(14779,plain,
% 218.15/140.74 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b100(0))) <=> (v124(constB63, 0) <=> b100(0))),
% 218.15/140.74 inference(transitivity,[status(thm)],[14778, 14777])).
% 218.15/140.74 tff(14780,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 0) <=> b100(0)))),
% 218.15/140.74 inference(monotonicity,[status(thm)],[14779])).
% 218.15/140.74 tff(14781,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 0) <=> b100(0)))),
% 218.15/140.74 inference(transitivity,[status(thm)],[14780, 14776])).
% 218.15/140.74 tff(14782,plain,
% 218.15/140.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB63, 0) <=> b100(0)))),
% 218.15/140.74 inference(quant_inst,[status(thm)],[])).
% 218.15/140.74 tff(14783,plain,
% 218.15/140.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 0) <=> b100(0))),
% 218.15/140.74 inference(modus_ponens,[status(thm)],[14782, 14781])).
% 218.15/140.74 tff(14784,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14783, 12711, 14775])).
% 218.15/140.74 tff(14785,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (~v124(constB63, 0))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14786,plain,
% 218.15/140.74 (~v124(constB63, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14785, 14773])).
% 218.15/140.74 tff(14787,plain,
% 218.15/140.74 (~v121(constB63, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13459, 14786])).
% 218.15/140.74 tff(14788,plain,
% 218.15/140.74 (~v123(constB64, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13465, 14787])).
% 218.15/140.74 tff(14789,assumption,(~v123(constB64, 0)), introduced(assumption)).
% 218.15/140.74 tff(14790,assumption,(~(v109(constB67) <=> (v110(constB67) | v117(constB67)))), introduced(assumption)).
% 218.15/140.74 tff(14791,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5351, 456, 14790])).
% 218.15/140.74 tff(14792,plain,(v109(constB67) <=> (v110(constB67) | v117(constB67))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14793,plain,
% 218.15/140.74 (v117(constB67)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5377, 12164])).
% 218.15/140.74 tff(14794,plain,
% 218.15/140.74 (v110(constB67) | v117(constB67)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5365, 14793])).
% 218.15/140.74 tff(14795,plain,
% 218.15/140.74 (v109(constB67)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5362, 14794, 14792])).
% 218.15/140.74 tff(14796,plain,
% 218.15/140.74 (v109(constB67) | v118(constB67)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5360, 14795])).
% 218.15/140.74 tff(14797,plain,
% 218.15/140.74 (v108(constB67)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5357, 14796, 14171])).
% 218.15/140.74 tff(14798,plain,
% 218.15/140.74 (v108(constB67) | v119(constB67)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[5355, 14797])).
% 218.15/140.74 tff(14799,plain,
% 218.15/140.74 (v107(constB65)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12208, 14798])).
% 218.15/140.74 tff(14800,plain,
% 218.15/140.74 (~((~v107(constB65)) | (~v120(constB65)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12216, 14799])).
% 218.15/140.74 tff(14801,plain,
% 218.15/140.74 (v106(constB65)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12219, 14800])).
% 218.15/140.74 tff(14802,plain,
% 218.15/140.74 (v105(constB65) | v106(constB65)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12221, 14801])).
% 218.15/140.74 tff(14803,plain,
% 218.15/140.74 (v102(constB65)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12224, 14802])).
% 218.15/140.74 tff(14804,plain,
% 218.15/140.74 (v104(constB66)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12227, 14803])).
% 218.15/140.74 tff(14805,plain,
% 218.15/140.74 (~((~v95(constB66)) | (~v104(constB66)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12258, 14804])).
% 218.15/140.74 tff(14806,plain,
% 218.15/140.74 (v94(constB66)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12261, 14805])).
% 218.15/140.74 tff(14807,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12269, 14806])).
% 218.15/140.74 tff(14808,plain,
% 218.15/140.74 (v84(constB66, 0) <=> v123(constB66, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12402, 14807])).
% 218.15/140.74 tff(14809,plain,
% 218.15/140.74 ((~(v84(constB66, 0) <=> v123(constB66, 0))) | (~v123(constB66, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12406, 12175])).
% 218.15/140.74 tff(14810,plain,
% 218.15/140.74 (~v123(constB66, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14809, 14808])).
% 218.15/140.74 tff(14811,plain,
% 218.15/140.74 ((~(v123(constB66, 0) <=> v121(constB65, 0))) | (~v121(constB65, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12409, 14810])).
% 218.15/140.74 tff(14812,plain,
% 218.15/140.74 (~v121(constB65, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14811, 12394])).
% 218.15/140.74 tff(14813,plain,
% 218.15/140.74 ((~(v121(constB65, 0) <=> v124(constB65, 0))) | (~v124(constB65, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12412, 14812])).
% 218.15/140.74 tff(14814,plain,
% 218.15/140.74 (~v124(constB65, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14813, 12385])).
% 218.15/140.74 tff(14815,plain,
% 218.15/140.74 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12453, 14814])).
% 218.15/140.74 tff(14816,plain,
% 218.15/140.74 (~v117(constB65)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12464, 14815])).
% 218.15/140.74 tff(14817,plain,
% 218.15/140.74 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12888, 14814])).
% 218.15/140.74 tff(14818,plain,
% 218.15/140.74 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12428, 14814])).
% 218.15/140.74 tff(14819,plain,
% 218.15/140.74 (~v115(constB65)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12439, 14818])).
% 218.15/140.74 tff(14820,assumption,(~v117(constB65)), introduced(assumption)).
% 218.15/140.74 tff(14821,assumption,(~v115(constB65)), introduced(assumption)).
% 218.15/140.74 tff(14822,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))), introduced(assumption)).
% 218.15/140.74 tff(14823,plain,
% 218.15/140.74 (v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13956, 12119])).
% 218.15/140.74 tff(14824,assumption,(~(v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))))), introduced(assumption)).
% 218.15/140.74 tff(14825,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[7127, 656, 14824])).
% 218.15/140.74 tff(14826,plain,(v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14827,plain,
% 218.15/140.74 (v117(constB65) | (v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12056, 14826])).
% 218.15/140.74 tff(14828,plain,
% 218.15/140.74 (v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14827, 14820])).
% 218.15/140.74 tff(14829,assumption,(v113(constB65)), introduced(assumption)).
% 218.15/140.74 tff(14830,plain,
% 218.15/140.74 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14831,plain,
% 218.15/140.74 (((~v113(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14832,plain,
% 218.15/140.74 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))))),
% 218.15/140.74 inference(monotonicity,[status(thm)],[14831])).
% 218.15/140.74 tff(14833,plain,
% 218.15/140.74 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))))),
% 218.15/140.74 inference(transitivity,[status(thm)],[14832, 14830])).
% 218.15/140.74 tff(14834,plain,
% 218.15/140.74 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB65)) | ![B: $int] : ((v124(constB65, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.15/140.74 inference(quant_inst,[status(thm)],[])).
% 218.15/140.74 tff(14835,plain,
% 218.15/140.74 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))),
% 218.15/140.74 inference(modus_ponens,[status(thm)],[14834, 14833])).
% 218.15/140.74 tff(14836,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14835, 2117, 14822, 14829])).
% 218.15/140.74 tff(14837,plain,((~v113(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14838,plain,
% 218.15/140.74 (~v113(constB65)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14837, 14822])).
% 218.15/140.74 tff(14839,plain,
% 218.15/140.74 (v113(constB65) | (v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12086, 12873])).
% 218.15/140.74 tff(14840,plain,
% 218.15/140.74 (v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14839, 14838])).
% 218.15/140.74 tff(14841,plain,
% 218.15/140.74 (v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13477, 14821])).
% 218.15/140.74 tff(14842,plain,
% 218.15/140.74 (((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))) | v84(constB65, 0)),
% 218.15/140.74 inference(tautology,[status(thm)],[])).
% 218.15/140.74 tff(14843,plain,
% 218.15/140.74 ((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14842, 12119])).
% 218.15/140.74 tff(14844,plain,
% 218.15/140.74 (v84(constB65, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12115, 14843, 14841, 14840, 12101])).
% 218.15/140.74 tff(14845,plain,
% 218.15/140.74 (v84(constB65, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12121, 14844, 14828, 12119])).
% 218.15/140.74 tff(14846,plain,
% 218.15/140.74 (v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[7174, 14845])).
% 218.15/140.74 tff(14847,plain,
% 218.15/140.74 ((~(v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))) | (~v118(constB65))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[7176, 14846])).
% 218.15/140.74 tff(14848,plain,
% 218.15/140.74 (~v118(constB65)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14847, 7173])).
% 218.15/140.74 tff(14849,plain,
% 218.15/140.74 ((~(v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))))) | (~v116(constB65))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[7119, 14843])).
% 218.15/140.74 tff(14850,plain,
% 218.15/140.74 (~v116(constB65)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14849, 7092])).
% 218.15/140.74 tff(14851,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12899, 1807, 14822, 14838, 14820, 14821, 13824, 14850, 14848])).
% 218.15/140.74 tff(14852,plain,(v84(constB65, 0) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))) | v117(constB65) | v115(constB65) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14853,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14852, 14823, 12119, 14822, 14821, 14820])).
% 218.15/140.74 tff(14854,plain,(v84(constB65, 0) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))) | v115(constB65) | v117(constB65)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14855,plain,
% 218.15/140.74 (v84(constB65, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14854, 14819, 14817, 14816])).
% 218.15/140.74 tff(14856,plain,
% 218.15/140.74 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | v84(constB64, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13470, 14855])).
% 218.15/140.74 tff(14857,plain,
% 218.15/140.74 (v84(constB64, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14856, 7043])).
% 218.15/140.74 tff(14858,plain,
% 218.15/140.74 (~(v84(constB64, 0) <=> v123(constB64, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13467, 14857, 14789])).
% 218.15/140.74 tff(14859,plain,
% 218.15/140.74 (v108(constB66) | v119(constB66)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13704, 14798])).
% 218.15/140.74 tff(14860,plain,
% 218.15/140.74 (v102(constB63)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14001, 14859])).
% 218.15/140.74 tff(14861,plain,
% 218.15/140.74 (v104(constB64)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12831, 14860])).
% 218.15/140.74 tff(14862,plain,
% 218.15/140.74 (~((~v95(constB64)) | (~v104(constB64)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12828, 14861])).
% 218.15/140.74 tff(14863,plain,
% 218.15/140.74 (v94(constB64)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12797, 14862])).
% 218.15/140.74 tff(14864,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12770, 14863])).
% 218.15/140.74 tff(14865,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12621, 14864, 14858])).
% 218.15/140.74 tff(14866,plain,((v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))) | v123(constB64, 0)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14867,plain,
% 218.15/140.74 (v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14866, 14788])).
% 218.15/140.74 tff(14868,plain,
% 218.15/140.74 (v124(constB63, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12721, 14773])).
% 218.15/140.74 tff(14869,plain,
% 218.15/140.74 (v121(constB63, 2) | (~v124(constB63, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12529, 13419])).
% 218.15/140.74 tff(14870,plain,
% 218.15/140.74 (v121(constB63, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14869, 14868])).
% 218.15/140.74 tff(14871,plain,
% 218.15/140.74 (v123(constB64, 2) | (~v121(constB63, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12526, 13425])).
% 218.15/140.74 tff(14872,plain,
% 218.15/140.74 (v123(constB64, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14871, 14870])).
% 218.15/140.74 tff(14873,plain,
% 218.15/140.74 (v84(constB64, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12523, 14872, 14152])).
% 218.15/140.74 tff(14874,plain,
% 218.15/140.74 (v84(constB65, 2) | (~v84(constB64, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[7114, 13437])).
% 218.15/140.74 tff(14875,plain,
% 218.15/140.74 (v84(constB65, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14874, 14873])).
% 218.15/140.74 tff(14876,assumption,(~(v84(constB64, 1) <=> v123(constB64, 1))), introduced(assumption)).
% 218.15/140.74 tff(14877,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12559, 12513, 14876])).
% 218.15/140.74 tff(14878,plain,((v84(constB64, 1) <=> v123(constB64, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14879,plain,
% 218.15/140.74 (v84(constB64, 1) <=> v123(constB64, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14878, 12513])).
% 218.15/140.74 tff(14880,plain,
% 218.15/140.74 ((~(v124(constB63, 1) <=> b100(1))) | (~v124(constB63, 1)) | b100(1)),
% 218.15/140.74 inference(tautology,[status(thm)],[])).
% 218.15/140.74 tff(14881,plain,
% 218.15/140.74 (~(v124(constB63, 1) <=> b100(1))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14880, 2274, 14104])).
% 218.15/140.74 tff(14882,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 1) <=> b100(1)))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14883,plain,
% 218.15/140.74 (($false | $false | (v124(constB63, 1) <=> b100(1))) <=> (v124(constB63, 1) <=> b100(1))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14884,plain,
% 218.15/140.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b100(1))) <=> ($false | $false | (v124(constB63, 1) <=> b100(1)))),
% 218.15/140.74 inference(monotonicity,[status(thm)],[402, 401])).
% 218.15/140.74 tff(14885,plain,
% 218.15/140.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b100(1))) <=> (v124(constB63, 1) <=> b100(1))),
% 218.15/140.74 inference(transitivity,[status(thm)],[14884, 14883])).
% 218.15/140.74 tff(14886,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 1) <=> b100(1)))),
% 218.15/140.74 inference(monotonicity,[status(thm)],[14885])).
% 218.15/140.74 tff(14887,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 1) <=> b100(1)))),
% 218.15/140.74 inference(transitivity,[status(thm)],[14886, 14882])).
% 218.15/140.74 tff(14888,plain,
% 218.15/140.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b100(1)))),
% 218.15/140.74 inference(quant_inst,[status(thm)],[])).
% 218.15/140.74 tff(14889,plain,
% 218.15/140.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (v124(constB63, 1) <=> b100(1))),
% 218.15/140.74 inference(modus_ponens,[status(thm)],[14888, 14887])).
% 218.15/140.74 tff(14890,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14889, 12711, 14881])).
% 218.15/140.74 tff(14891,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))) | (~v124(constB63, 1))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14892,plain,
% 218.15/140.74 (~v124(constB63, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14891, 14773])).
% 218.15/140.74 tff(14893,plain,
% 218.15/140.74 (~v121(constB63, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14119, 14892])).
% 218.15/140.74 tff(14894,plain,
% 218.15/140.74 (~v123(constB64, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14122, 14893])).
% 218.15/140.74 tff(14895,plain,
% 218.15/140.74 (~v84(constB64, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14141, 14894, 14879])).
% 218.15/140.74 tff(14896,plain,
% 218.15/140.74 (~v84(constB65, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14149, 14895])).
% 218.15/140.74 tff(14897,assumption,(~(v84(constB64, 0) <=> v123(constB64, 0))), introduced(assumption)).
% 218.15/140.74 tff(14898,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12621, 12513, 14897])).
% 218.15/140.74 tff(14899,plain,((v84(constB64, 0) <=> v123(constB64, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14900,plain,
% 218.15/140.74 (v84(constB64, 0) <=> v123(constB64, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14899, 12513])).
% 218.15/140.74 tff(14901,plain,
% 218.15/140.74 (~v84(constB64, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13467, 14788, 14900])).
% 218.15/140.74 tff(14902,assumption,(~(v84(constB65, 0) <=> v84(constB64, 0))), introduced(assumption)).
% 218.15/140.74 tff(14903,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[7042, 6293, 14902])).
% 218.15/140.74 tff(14904,plain,(v84(constB65, 0) <=> v84(constB64, 0)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14905,plain,
% 218.15/140.74 ((~v84(constB65, 0)) | v84(constB64, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13470, 14904])).
% 218.15/140.74 tff(14906,plain,
% 218.15/140.74 (~v84(constB65, 0)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14905, 14901])).
% 218.15/140.74 tff(14907,plain,
% 218.15/140.74 (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12121, 14906, 14896, 14875])).
% 218.15/140.74 tff(14908,plain,
% 218.15/140.74 (v117(constB65)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14827, 14907])).
% 218.15/140.74 tff(14909,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12464, 14908])).
% 218.15/140.74 tff(14910,plain,
% 218.15/140.74 ((~(v124(constB65, 2) <=> b101(2))) | v124(constB65, 2) | (~b101(2))),
% 218.15/140.74 inference(tautology,[status(thm)],[])).
% 218.15/140.74 tff(14911,plain,
% 218.15/140.74 (~(v124(constB65, 2) <=> b101(2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14910, 2354, 12354])).
% 218.15/140.74 tff(14912,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 2) <=> b101(2)))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14913,plain,
% 218.15/140.74 (($false | $false | (v124(constB65, 2) <=> b101(2))) <=> (v124(constB65, 2) <=> b101(2))),
% 218.15/140.74 inference(rewrite,[status(thm)],[])).
% 218.15/140.74 tff(14914,plain,
% 218.15/140.74 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b101(2))) <=> ($false | $false | (v124(constB65, 2) <=> b101(2)))),
% 218.15/140.74 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.74 tff(14915,plain,
% 218.15/140.74 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b101(2))) <=> (v124(constB65, 2) <=> b101(2))),
% 218.15/140.74 inference(transitivity,[status(thm)],[14914, 14913])).
% 218.15/140.74 tff(14916,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 2) <=> b101(2)))),
% 218.15/140.74 inference(monotonicity,[status(thm)],[14915])).
% 218.15/140.74 tff(14917,plain,
% 218.15/140.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 2) <=> b101(2)))),
% 218.15/140.74 inference(transitivity,[status(thm)],[14916, 14912])).
% 218.15/140.74 tff(14918,plain,
% 218.15/140.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b101(2)))),
% 218.15/140.74 inference(quant_inst,[status(thm)],[])).
% 218.15/140.74 tff(14919,plain,
% 218.15/140.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 2) <=> b101(2))),
% 218.15/140.74 inference(modus_ponens,[status(thm)],[14918, 14917])).
% 218.15/140.74 tff(14920,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14919, 12443, 14911])).
% 218.15/140.74 tff(14921,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | v124(constB65, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14922,plain,
% 218.15/140.74 (v124(constB65, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14921, 14909])).
% 218.15/140.74 tff(14923,plain,
% 218.15/140.74 (v121(constB65, 2) | (~v124(constB65, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12288, 13512])).
% 218.15/140.74 tff(14924,plain,
% 218.15/140.74 (v121(constB65, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14923, 14922])).
% 218.15/140.74 tff(14925,plain,
% 218.15/140.74 (v123(constB66, 2) | (~v121(constB65, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12285, 13506])).
% 218.15/140.74 tff(14926,plain,
% 218.15/140.74 (v123(constB66, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14925, 14924])).
% 218.15/140.74 tff(14927,plain,
% 218.15/140.74 (v84(constB66, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12282, 14926, 14044])).
% 218.15/140.74 tff(14928,plain,
% 218.15/140.74 (v84(constB67, 2) | (~v84(constB66, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[7320, 13343])).
% 218.15/140.74 tff(14929,plain,
% 218.15/140.74 (v84(constB67, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14928, 14927])).
% 218.15/140.74 tff(14930,plain,
% 218.15/140.74 (v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12143, 14929])).
% 218.15/140.74 tff(14931,assumption,(~(v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))))), introduced(assumption)).
% 218.15/140.74 tff(14932,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[6882, 521, 14931])).
% 218.15/140.74 tff(14933,plain,(v116(constB63) <=> (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.74 tff(14934,plain,
% 218.15/140.74 ((~v116(constB63)) | (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[6886, 14933])).
% 218.15/140.74 tff(14935,plain,
% 218.15/140.74 (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14934, 12723])).
% 218.15/140.74 tff(14936,plain,
% 218.15/140.74 (~v84(constB63, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[6884, 14935])).
% 218.15/140.74 tff(14937,plain,
% 218.15/140.74 (~v114(constB63)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13528, 13346])).
% 218.15/140.74 tff(14938,plain,
% 218.15/140.74 (v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13981, 14937])).
% 218.15/140.74 tff(14939,plain,
% 218.15/140.74 (~v84(constB64, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14141, 14123, 14879])).
% 218.15/140.74 tff(14940,plain,
% 218.15/140.74 (~v84(constB65, 1)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14149, 14939])).
% 218.15/140.74 tff(14941,plain,
% 218.15/140.74 ((~(v84(constB66, 1) <=> v84(constB65, 1))) | (~v84(constB66, 1)) | v84(constB65, 1)),
% 218.15/140.74 inference(tautology,[status(thm)],[])).
% 218.15/140.74 tff(14942,plain,
% 218.15/140.74 (~(v84(constB66, 1) <=> v84(constB65, 1))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14941, 14940, 13650])).
% 218.15/140.74 tff(14943,plain,
% 218.15/140.74 (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14157, 14138, 12513, 14123])).
% 218.15/140.74 tff(14944,plain,
% 218.15/140.74 (v114(constB65)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14102, 14943])).
% 218.15/140.74 tff(14945,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b010(B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14097, 14944])).
% 218.15/140.74 tff(14946,plain,
% 218.15/140.74 (~v124(constB65, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[14057, 14945])).
% 218.15/140.74 tff(14947,plain,
% 218.15/140.74 (~v121(constB65, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13514, 14946])).
% 218.15/140.74 tff(14948,plain,
% 218.15/140.74 (~v123(constB66, 2)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13508, 14947])).
% 218.15/140.74 tff(14949,plain,
% 218.15/140.74 (~(v84(constB66, 2) <=> v123(constB66, 2))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13502, 14948, 13346])).
% 218.15/140.74 tff(14950,plain,
% 218.15/140.74 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[13500, 14949])).
% 218.15/140.74 tff(14951,plain,
% 218.15/140.74 (~v94(constB66)),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[12269, 14950])).
% 218.15/140.74 tff(14952,plain,
% 218.15/140.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[7243, 14951])).
% 218.15/140.74 tff(14953,plain,
% 218.15/140.74 ($false),
% 218.15/140.74 inference(unit_resolution,[status(thm)],[7252, 14952, 14942])).
% 218.15/140.74 tff(14954,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))) | (~v84(constB66, 1)) | (~v84(constB66, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(14955,plain,
% 218.15/140.75 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14954, 12513, 13346, 13650])).
% 218.15/140.75 tff(14956,plain,
% 218.15/140.75 (~v113(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12707, 14955])).
% 218.15/140.75 tff(14957,assumption,(~(v113(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))))), introduced(assumption)).
% 218.15/140.75 tff(14958,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6824, 597, 14957])).
% 218.15/140.75 tff(14959,plain,(v113(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(14960,plain,
% 218.15/140.75 (v113(constB63) | (v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12784, 14959])).
% 218.15/140.75 tff(14961,plain,
% 218.15/140.75 (v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14960, 14956])).
% 218.15/140.75 tff(14962,plain,
% 218.15/140.75 ((v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))) | v84(constB63, 2)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(14963,plain,
% 218.15/140.75 (v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14962, 13800])).
% 218.15/140.75 tff(14964,plain,
% 218.15/140.75 ((v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2))) | v84(constB63, 2)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(14965,plain,
% 218.15/140.75 (v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14964, 13800])).
% 218.15/140.75 tff(14966,assumption,(v84(constB63, 0)), introduced(assumption)).
% 218.15/140.75 tff(14967,plain,
% 218.15/140.75 (v84(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13973, 14966, 13962, 13754])).
% 218.15/140.75 tff(14968,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13784, 14967, 14966, 13754, 13753])).
% 218.15/140.75 tff(14969,plain,((~v84(constB63, 0)) | v84(constB63, 1) | (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))) | (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(14970,plain,
% 218.15/140.75 (~v84(constB63, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14969, 13754, 13753, 13962])).
% 218.15/140.75 tff(14971,assumption,(~v84(constB63, 0)), introduced(assumption)).
% 218.15/140.75 tff(14972,plain,
% 218.15/140.75 (v84(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12782, 14971, 13755, 13754])).
% 218.15/140.75 tff(14973,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7155, 14972, 14971, 7129, 13754])).
% 218.15/140.75 tff(14974,plain,(v84(constB63, 0) | (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))) | v84(constB63, 1) | (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(14975,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14974, 14970, 13754, 7129, 13755])).
% 218.15/140.75 tff(14976,plain,(v84(constB63, 1) | (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))) | (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))) | (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))) | (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(14977,plain,
% 218.15/140.75 (v84(constB63, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14976, 14965, 14963, 14961, 14938])).
% 218.15/140.75 tff(14978,assumption,(~v94(constB66)), introduced(assumption)).
% 218.15/140.75 tff(14979,plain,
% 218.15/140.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v84(constB65, B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7243, 14978])).
% 218.15/140.75 tff(14980,plain,
% 218.15/140.75 (v84(constB66, 1) <=> v84(constB65, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7252, 14979])).
% 218.15/140.75 tff(14981,plain,
% 218.15/140.75 ((~v95(constB66)) | (~v104(constB66))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12261, 14978])).
% 218.15/140.75 tff(14982,plain,
% 218.15/140.75 (~v104(constB66)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12258, 14981])).
% 218.15/140.75 tff(14983,plain,
% 218.15/140.75 (~v102(constB65)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12227, 14982])).
% 218.15/140.75 tff(14984,plain,
% 218.15/140.75 (~(v105(constB65) | v106(constB65))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12224, 14983])).
% 218.15/140.75 tff(14985,plain,
% 218.15/140.75 (~v106(constB65)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12221, 14984])).
% 218.15/140.75 tff(14986,plain,
% 218.15/140.75 ((~v107(constB65)) | (~v120(constB65))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12219, 14985])).
% 218.15/140.75 tff(14987,plain,
% 218.15/140.75 (~v107(constB65)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12216, 14986])).
% 218.15/140.75 tff(14988,plain,
% 218.15/140.75 (~(v108(constB67) | v119(constB67))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12208, 14987])).
% 218.15/140.75 tff(14989,plain,
% 218.15/140.75 (~v108(constB67)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[5355, 14988])).
% 218.15/140.75 tff(14990,plain,
% 218.15/140.75 (v84(constB67, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13028, 14989])).
% 218.15/140.75 tff(14991,plain,
% 218.15/140.75 (v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12143, 14990])).
% 218.15/140.75 tff(14992,plain,
% 218.15/140.75 (~(v109(constB67) | v118(constB67))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14172, 14989])).
% 218.15/140.75 tff(14993,plain,
% 218.15/140.75 (~v118(constB67)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[5409, 14992])).
% 218.15/140.75 tff(14994,plain,
% 218.15/140.75 (v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14762, 14993])).
% 218.15/140.75 tff(14995,plain,
% 218.15/140.75 (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12139, 14990])).
% 218.15/140.75 tff(14996,plain,
% 218.15/140.75 (~v109(constB67)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[5360, 14992])).
% 218.15/140.75 tff(14997,plain,
% 218.15/140.75 (v109(constB67) | (~(v110(constB67) | v117(constB67)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[5362, 14792])).
% 218.15/140.75 tff(14998,plain,
% 218.15/140.75 (~(v110(constB67) | v117(constB67))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14997, 14996])).
% 218.15/140.75 tff(14999,plain,
% 218.15/140.75 (~v117(constB67)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[5365, 14998])).
% 218.15/140.75 tff(15000,plain,
% 218.15/140.75 (v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[5377, 14999])).
% 218.15/140.75 tff(15001,plain,
% 218.15/140.75 (v84(constB67, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[5437, 15000, 14995, 14994, 14991])).
% 218.15/140.75 tff(15002,plain,
% 218.15/140.75 ((~(v84(constB67, 1) <=> v84(constB66, 1))) | v84(constB66, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13646, 15001])).
% 218.15/140.75 tff(15003,plain,
% 218.15/140.75 (v84(constB66, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15002, 6245])).
% 218.15/140.75 tff(15004,plain,
% 218.15/140.75 ((~(v84(constB66, 1) <=> v84(constB65, 1))) | v84(constB65, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14941, 15003])).
% 218.15/140.75 tff(15005,plain,
% 218.15/140.75 (v84(constB65, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15004, 14980])).
% 218.15/140.75 tff(15006,plain,
% 218.15/140.75 ((~(v84(constB65, 1) <=> v84(constB64, 1))) | v84(constB64, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13763, 15005])).
% 218.15/140.75 tff(15007,plain,
% 218.15/140.75 (v84(constB64, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15006, 6302])).
% 218.15/140.75 tff(15008,plain,
% 218.15/140.75 (v84(constB66, 0) <=> v84(constB65, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7281, 14979])).
% 218.15/140.75 tff(15009,plain,
% 218.15/140.75 (~v119(constB67)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[5346, 14988])).
% 218.15/140.75 tff(15010,plain,
% 218.15/140.75 ((~(v119(constB67) <=> (~(v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))))) | (v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[5348, 15009])).
% 218.15/140.75 tff(15011,plain,
% 218.15/140.75 (v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15010, 5306])).
% 218.15/140.75 tff(15012,plain,
% 218.15/140.75 ((~(v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))) | v84(constB67, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[5473, 15001, 14990])).
% 218.15/140.75 tff(15013,plain,
% 218.15/140.75 (v84(constB67, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15012, 15011])).
% 218.15/140.75 tff(15014,plain,
% 218.15/140.75 ((~(v84(constB67, 0) <=> v84(constB66, 0))) | v84(constB66, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13630, 15013])).
% 218.15/140.75 tff(15015,plain,
% 218.15/140.75 (v84(constB66, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15014, 7273])).
% 218.15/140.75 tff(15016,plain,
% 218.15/140.75 ((~(v84(constB66, 0) <=> v84(constB65, 0))) | (~v84(constB66, 0)) | v84(constB65, 0)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15017,plain,
% 218.15/140.75 ((~(v84(constB66, 0) <=> v84(constB65, 0))) | v84(constB65, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15016, 15015])).
% 218.15/140.75 tff(15018,plain,
% 218.15/140.75 (v84(constB65, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15017, 15008])).
% 218.15/140.75 tff(15019,plain,
% 218.15/140.75 ((~(v107(constB65) <=> (v108(constB65) | v119(constB65)))) | (~(v108(constB65) | v119(constB65)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12041, 14987])).
% 218.15/140.75 tff(15020,plain,
% 218.15/140.75 (~(v108(constB65) | v119(constB65))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15019, 6247])).
% 218.15/140.75 tff(15021,plain,
% 218.15/140.75 (~v108(constB65)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12044, 15020])).
% 218.15/140.75 tff(15022,plain,
% 218.15/140.75 ((~(v108(constB65) <=> (v109(constB65) | v118(constB65)))) | (~(v109(constB65) | v118(constB65)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12046, 15021])).
% 218.15/140.75 tff(15023,plain,
% 218.15/140.75 (~(v109(constB65) | v118(constB65))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15022, 6249])).
% 218.15/140.75 tff(15024,plain,
% 218.15/140.75 (~v109(constB65)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12049, 15023])).
% 218.15/140.75 tff(15025,plain,
% 218.15/140.75 ((~(v109(constB65) <=> (v110(constB65) | v117(constB65)))) | (~(v110(constB65) | v117(constB65)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12051, 15024])).
% 218.15/140.75 tff(15026,plain,
% 218.15/140.75 (~(v110(constB65) | v117(constB65))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15025, 6251])).
% 218.15/140.75 tff(15027,plain,
% 218.15/140.75 (~v110(constB65)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12064, 15026])).
% 218.15/140.75 tff(15028,plain,
% 218.15/140.75 ((~(v110(constB65) <=> (v111(constB65) | v116(constB65)))) | (~(v111(constB65) | v116(constB65)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12066, 15027])).
% 218.15/140.75 tff(15029,plain,
% 218.15/140.75 (~(v111(constB65) | v116(constB65))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15028, 6253])).
% 218.15/140.75 tff(15030,plain,
% 218.15/140.75 (~v116(constB65)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12089, 15029])).
% 218.15/140.75 tff(15031,assumption,(~(v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))))), introduced(assumption)).
% 218.15/140.75 tff(15032,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7091, 521, 15031])).
% 218.15/140.75 tff(15033,plain,(v116(constB65) <=> (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15034,plain,
% 218.15/140.75 (v116(constB65) | ((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12091, 15033])).
% 218.15/140.75 tff(15035,plain,
% 218.15/140.75 ((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15034, 15030])).
% 218.15/140.75 tff(15036,plain,
% 218.15/140.75 (v84(constB65, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12111, 15035, 15018, 15005])).
% 218.15/140.75 tff(15037,plain,
% 218.15/140.75 (v84(constB64, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13438, 15036])).
% 218.15/140.75 tff(15038,plain,
% 218.15/140.75 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13431, 13429])).
% 218.15/140.75 tff(15039,plain,
% 218.15/140.75 (~v94(constB64)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12770, 15038])).
% 218.15/140.75 tff(15040,plain,
% 218.15/140.75 ((~v95(constB64)) | (~v104(constB64))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12797, 15039])).
% 218.15/140.75 tff(15041,plain,
% 218.15/140.75 (~v104(constB64)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12828, 15040])).
% 218.15/140.75 tff(15042,plain,
% 218.15/140.75 (~v102(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12831, 15041])).
% 218.15/140.75 tff(15043,plain,
% 218.15/140.75 (~(v105(constB63) | v106(constB63))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12834, 15042])).
% 218.15/140.75 tff(15044,plain,
% 218.15/140.75 (~v106(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12836, 15043])).
% 218.15/140.75 tff(15045,plain,
% 218.15/140.75 ((~v107(constB63)) | (~v120(constB63))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12839, 15044])).
% 218.15/140.75 tff(15046,plain,
% 218.15/140.75 (~v107(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12847, 15045])).
% 218.15/140.75 tff(15047,plain,
% 218.15/140.75 (~(v108(constB63) | v119(constB63))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13376, 15046])).
% 218.15/140.75 tff(15048,plain,
% 218.15/140.75 (~v108(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12852, 15047])).
% 218.15/140.75 tff(15049,plain,
% 218.15/140.75 (~(v109(constB63) | v118(constB63))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13370, 15048])).
% 218.15/140.75 tff(15050,plain,
% 218.15/140.75 (~v109(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12857, 15049])).
% 218.15/140.75 tff(15051,assumption,(v84(constB64, 2)), introduced(assumption)).
% 218.15/140.75 tff(15052,plain,
% 218.15/140.75 ((v84(constB64, 2) <=> v123(constB64, 2)) | (~v84(constB64, 2)) | (~v123(constB64, 2))),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15053,plain,
% 218.15/140.75 (~v123(constB64, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15052, 13429, 15051])).
% 218.15/140.75 tff(15054,plain,
% 218.15/140.75 (~v121(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14871, 15053])).
% 218.15/140.75 tff(15055,plain,
% 218.15/140.75 (~v124(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14869, 15054])).
% 218.15/140.75 tff(15056,plain,
% 218.15/140.75 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12721, 15055])).
% 218.15/140.75 tff(15057,plain,
% 218.15/140.75 (~v116(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12732, 15056])).
% 218.15/140.75 tff(15058,plain,
% 218.15/140.75 (v116(constB63) | (v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13790, 14933])).
% 218.15/140.75 tff(15059,plain,
% 218.15/140.75 (v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15058, 15057])).
% 218.15/140.75 tff(15060,plain,
% 218.15/140.75 (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13806, 15059, 13800, 13799])).
% 218.15/140.75 tff(15061,assumption,(~(v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))))), introduced(assumption)).
% 218.15/140.75 tff(15062,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6841, 622, 15061])).
% 218.15/140.75 tff(15063,plain,(v115(constB63) <=> (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15064,plain,
% 218.15/140.75 (v115(constB63) | (v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13795, 15063])).
% 218.15/140.75 tff(15065,plain,
% 218.15/140.75 (v115(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15064, 15060])).
% 218.15/140.75 tff(15066,plain,
% 218.15/140.75 (v112(constB63) | v115(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13793, 15065])).
% 218.15/140.75 tff(15067,assumption,(~(v111(constB63) <=> (v112(constB63) | v115(constB63)))), introduced(assumption)).
% 218.15/140.75 tff(15068,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6311, 274, 15067])).
% 218.15/140.75 tff(15069,plain,(v111(constB63) <=> (v112(constB63) | v115(constB63))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15070,plain,
% 218.15/140.75 (v111(constB63) | (~(v112(constB63) | v115(constB63)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12794, 15069])).
% 218.15/140.75 tff(15071,plain,
% 218.15/140.75 (v111(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15070, 15066])).
% 218.15/140.75 tff(15072,plain,
% 218.15/140.75 (v111(constB63) | v116(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12866, 15071])).
% 218.15/140.75 tff(15073,assumption,(~(v110(constB63) <=> (v111(constB63) | v116(constB63)))), introduced(assumption)).
% 218.15/140.75 tff(15074,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6309, 265, 15073])).
% 218.15/140.75 tff(15075,plain,(v110(constB63) <=> (v111(constB63) | v116(constB63))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15076,plain,
% 218.15/140.75 (v110(constB63) | (~(v111(constB63) | v116(constB63)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12864, 15075])).
% 218.15/140.75 tff(15077,plain,
% 218.15/140.75 (v110(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15076, 15072])).
% 218.15/140.75 tff(15078,plain,
% 218.15/140.75 (v110(constB63) | v117(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12862, 15077])).
% 218.15/140.75 tff(15079,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13364, 15078, 15050])).
% 218.15/140.75 tff(15080,plain,((v84(constB64, 2) <=> v123(constB64, 2)) | v84(constB63, 2) | (~v84(constB63, 1)) | (~v84(constB64, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15081,plain,
% 218.15/140.75 (v84(constB64, 2) <=> v123(constB64, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15080, 15037, 13799, 13800])).
% 218.15/140.75 tff(15082,plain,
% 218.15/140.75 (v123(constB64, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13433, 15081, 15037])).
% 218.15/140.75 tff(15083,plain,
% 218.15/140.75 (v121(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13427, 15082])).
% 218.15/140.75 tff(15084,plain,
% 218.15/140.75 (v124(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13421, 15083])).
% 218.15/140.75 tff(15085,plain,
% 218.15/140.75 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14135, 15084])).
% 218.15/140.75 tff(15086,plain,
% 218.15/140.75 ((~(v124(constB63, 2) <=> b011(2))) | (~v124(constB63, 2)) | b011(2)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15087,plain,
% 218.15/140.75 (~(v124(constB63, 2) <=> b011(2))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15086, 2569, 13403])).
% 218.15/140.75 tff(15088,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 2) <=> b011(2)))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15089,plain,
% 218.15/140.75 (($false | $false | (v124(constB63, 2) <=> b011(2))) <=> (v124(constB63, 2) <=> b011(2))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15090,plain,
% 218.15/140.75 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b011(2))) <=> ($false | $false | (v124(constB63, 2) <=> b011(2)))),
% 218.15/140.75 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.75 tff(15091,plain,
% 218.15/140.75 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b011(2))) <=> (v124(constB63, 2) <=> b011(2))),
% 218.15/140.75 inference(transitivity,[status(thm)],[15090, 15089])).
% 218.15/140.75 tff(15092,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 2) <=> b011(2)))),
% 218.15/140.75 inference(monotonicity,[status(thm)],[15091])).
% 218.15/140.75 tff(15093,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 2) <=> b011(2)))),
% 218.15/140.75 inference(transitivity,[status(thm)],[15092, 15088])).
% 218.15/140.75 tff(15094,plain,
% 218.15/140.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB63, 2) <=> b011(2)))),
% 218.15/140.75 inference(quant_inst,[status(thm)],[])).
% 218.15/140.75 tff(15095,plain,
% 218.15/140.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 2) <=> b011(2))),
% 218.15/140.75 inference(modus_ponens,[status(thm)],[15094, 15093])).
% 218.15/140.75 tff(15096,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15095, 12635, 15087])).
% 218.15/140.75 tff(15097,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (~v124(constB63, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15098,plain,
% 218.15/140.75 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15097, 15084])).
% 218.15/140.75 tff(15099,plain,
% 218.15/140.75 (~v115(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12656, 15098])).
% 218.15/140.75 tff(15100,assumption,(~(v118(constB63) <=> (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))))), introduced(assumption)).
% 218.15/140.75 tff(15101,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6911, 394, 15100])).
% 218.15/140.75 tff(15102,plain,(v118(constB63) <=> (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15103,plain,
% 218.15/140.75 ((~v118(constB63)) | (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2))))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6915, 15102])).
% 218.15/140.75 tff(15104,plain,
% 218.15/140.75 (~v118(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15103, 14965])).
% 218.15/140.75 tff(15105,plain,
% 218.15/140.75 ((~v117(constB63)) | (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6903, 13942])).
% 218.15/140.75 tff(15106,plain,
% 218.15/140.75 (~v117(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15105, 14963])).
% 218.15/140.75 tff(15107,plain,
% 218.15/140.75 (v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6819, 13799])).
% 218.15/140.75 tff(15108,plain,
% 218.15/140.75 ((~v114(constB63)) | (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6821, 13979])).
% 218.15/140.75 tff(15109,plain,
% 218.15/140.75 (~v114(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15108, 15107])).
% 218.15/140.75 tff(15110,plain,
% 218.15/140.75 (v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6826, 13799])).
% 218.15/140.75 tff(15111,plain,
% 218.15/140.75 ((~v113(constB63)) | (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6828, 14959])).
% 218.15/140.75 tff(15112,plain,
% 218.15/140.75 (~v113(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15111, 15110])).
% 218.15/140.75 tff(15113,plain,
% 218.15/140.75 (v116(constB63) | v115(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12743, 1807, 15112, 15109, 15106, 15104])).
% 218.15/140.75 tff(15114,plain,
% 218.15/140.75 (v116(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15113, 15099, 15085])).
% 218.15/140.75 tff(15115,plain,
% 218.15/140.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12732, 15114])).
% 218.15/140.75 tff(15116,plain,
% 218.15/140.75 (~v124(constB63, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14891, 15115])).
% 218.15/140.75 tff(15117,plain,
% 218.15/140.75 (~v121(constB63, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14119, 15116])).
% 218.15/140.75 tff(15118,plain,
% 218.15/140.75 (~v123(constB64, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14122, 15117])).
% 218.15/140.75 tff(15119,plain,
% 218.15/140.75 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14144, 15118, 15007])).
% 218.15/140.75 tff(15120,plain,
% 218.15/140.75 (~v94(constB64)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12770, 15119])).
% 218.15/140.75 tff(15121,plain,
% 218.15/140.75 ((~v95(constB64)) | (~v104(constB64))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12797, 15120])).
% 218.15/140.75 tff(15122,plain,
% 218.15/140.75 (~v104(constB64)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12828, 15121])).
% 218.15/140.75 tff(15123,plain,
% 218.15/140.75 (~v102(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12831, 15122])).
% 218.15/140.75 tff(15124,plain,
% 218.15/140.75 (~(v105(constB63) | v106(constB63))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12834, 15123])).
% 218.15/140.75 tff(15125,plain,
% 218.15/140.75 (v111(constB63) | v116(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13788, 15114])).
% 218.15/140.75 tff(15126,plain,
% 218.15/140.75 (v110(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15076, 15125])).
% 218.15/140.75 tff(15127,plain,
% 218.15/140.75 (v110(constB63) | v117(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12862, 15126])).
% 218.15/140.75 tff(15128,plain,
% 218.15/140.75 (v109(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13364, 15127])).
% 218.15/140.75 tff(15129,plain,
% 218.15/140.75 (v109(constB63) | v118(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12857, 15128])).
% 218.15/140.75 tff(15130,plain,
% 218.15/140.75 (v108(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13370, 15129])).
% 218.15/140.75 tff(15131,plain,
% 218.15/140.75 (v108(constB63) | v119(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12852, 15130])).
% 218.15/140.75 tff(15132,plain,
% 218.15/140.75 (v107(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13376, 15131])).
% 218.15/140.75 tff(15133,plain,
% 218.15/140.75 (~((~v107(constB63)) | (~v120(constB63)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12847, 15132])).
% 218.15/140.75 tff(15134,plain,
% 218.15/140.75 (v106(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12839, 15133])).
% 218.15/140.75 tff(15135,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12836, 15134, 15124])).
% 218.15/140.75 tff(15136,plain,(v94(constB66) | (~v84(constB63, 1)) | v84(constB63, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15137,plain,
% 218.15/140.75 (v94(constB66)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15136, 14977, 13800])).
% 218.15/140.75 tff(15138,plain,
% 218.15/140.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12269, 15137])).
% 218.15/140.75 tff(15139,plain,
% 218.15/140.75 (v84(constB66, 1) <=> v123(constB66, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14018, 15138])).
% 218.15/140.75 tff(15140,plain,
% 218.15/140.75 ((~(v84(constB66, 1) <=> v123(constB66, 1))) | (~v84(constB66, 1)) | v123(constB66, 1)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15141,plain,
% 218.15/140.75 (v123(constB66, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15140, 15139, 13650])).
% 218.15/140.75 tff(15142,plain,
% 218.15/140.75 ((~(v123(constB66, 1) <=> v121(constB65, 1))) | (~v123(constB66, 1)) | v121(constB65, 1)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15143,plain,
% 218.15/140.75 ((~v123(constB66, 1)) | v121(constB65, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15142, 14035])).
% 218.15/140.75 tff(15144,plain,
% 218.15/140.75 (v121(constB65, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15143, 15141])).
% 218.15/140.75 tff(15145,plain,
% 218.15/140.75 ((~(v121(constB65, 1) <=> v124(constB65, 1))) | (~v121(constB65, 1)) | v124(constB65, 1)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15146,plain,
% 218.15/140.75 ((~v121(constB65, 1)) | v124(constB65, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15145, 14030])).
% 218.15/140.75 tff(15147,plain,
% 218.15/140.75 (v124(constB65, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15146, 15144])).
% 218.15/140.75 tff(15148,plain,
% 218.15/140.75 ((~(v124(constB65, 1) <=> b101(1))) | (~v124(constB65, 1)) | b101(1)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15149,plain,
% 218.15/140.75 (~(v124(constB65, 1) <=> b101(1))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15148, 2330, 15147])).
% 218.15/140.75 tff(15150,plain,
% 218.15/140.75 (~(v113(constB63) | v114(constB63))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6831, 14956, 14937])).
% 218.15/140.75 tff(15151,assumption,(v124(constB65, 1)), introduced(assumption)).
% 218.15/140.75 tff(15152,plain,
% 218.15/140.75 ((~(v124(constB65, 1) <=> b100(1))) | (~v124(constB65, 1)) | b100(1)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15153,plain,
% 218.15/140.75 (~(v124(constB65, 1) <=> b100(1))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15152, 2274, 15151])).
% 218.15/140.75 tff(15154,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))), introduced(assumption)).
% 218.15/140.75 tff(15155,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | (v124(constB65, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | (v124(constB65, 1) <=> b100(1)))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15156,plain,
% 218.15/140.75 (($false | $false | (v124(constB65, 1) <=> b100(1))) <=> (v124(constB65, 1) <=> b100(1))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15157,plain,
% 218.15/140.75 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b100(1))) <=> ($false | $false | (v124(constB65, 1) <=> b100(1)))),
% 218.15/140.75 inference(monotonicity,[status(thm)],[402, 401])).
% 218.15/140.75 tff(15158,plain,
% 218.15/140.75 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b100(1))) <=> (v124(constB65, 1) <=> b100(1))),
% 218.15/140.75 inference(transitivity,[status(thm)],[15157, 15156])).
% 218.15/140.75 tff(15159,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | (v124(constB65, 1) <=> b100(1)))),
% 218.15/140.75 inference(monotonicity,[status(thm)],[15158])).
% 218.15/140.75 tff(15160,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | (v124(constB65, 1) <=> b100(1)))),
% 218.15/140.75 inference(transitivity,[status(thm)],[15159, 15155])).
% 218.15/140.75 tff(15161,plain,
% 218.15/140.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b100(1)))),
% 218.15/140.75 inference(quant_inst,[status(thm)],[])).
% 218.15/140.75 tff(15162,plain,
% 218.15/140.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | (v124(constB65, 1) <=> b100(1))),
% 218.15/140.75 inference(modus_ponens,[status(thm)],[15161, 15160])).
% 218.15/140.75 tff(15163,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15162, 15154, 15153])).
% 218.15/140.75 tff(15164,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))) | (~v124(constB65, 1))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15165,plain,
% 218.15/140.75 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15164, 15147])).
% 218.15/140.75 tff(15166,assumption,(v116(constB65)), introduced(assumption)).
% 218.15/140.75 tff(15167,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))), introduced(assumption)).
% 218.15/140.75 tff(15168,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12907, 2230, 15167, 15166])).
% 218.15/140.75 tff(15169,plain,((~v116(constB65)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15170,plain,
% 218.15/140.75 (~v116(constB65)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15169, 15165])).
% 218.15/140.75 tff(15171,plain,
% 218.15/140.75 ((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15034, 15170])).
% 218.15/140.75 tff(15172,plain,
% 218.15/140.75 (~v124(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15097, 12635])).
% 218.15/140.75 tff(15173,plain,
% 218.15/140.75 (~v121(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13421, 15172])).
% 218.15/140.75 tff(15174,plain,
% 218.15/140.75 (~v123(constB64, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13427, 15173])).
% 218.15/140.75 tff(15175,plain,
% 218.15/140.75 (~v84(constB64, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13433, 15174, 14152])).
% 218.15/140.75 tff(15176,plain,
% 218.15/140.75 (~v84(constB65, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13438, 15175])).
% 218.15/140.75 tff(15177,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 1) <=> b011(1)))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15178,plain,
% 218.15/140.75 (($false | $false | (v124(constB63, 1) <=> b011(1))) <=> (v124(constB63, 1) <=> b011(1))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15179,plain,
% 218.15/140.75 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b011(1))) <=> ($false | $false | (v124(constB63, 1) <=> b011(1)))),
% 218.15/140.75 inference(monotonicity,[status(thm)],[402, 401])).
% 218.15/140.75 tff(15180,plain,
% 218.15/140.75 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b011(1))) <=> (v124(constB63, 1) <=> b011(1))),
% 218.15/140.75 inference(transitivity,[status(thm)],[15179, 15178])).
% 218.15/140.75 tff(15181,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 1) <=> b011(1)))),
% 218.15/140.75 inference(monotonicity,[status(thm)],[15180])).
% 218.15/140.75 tff(15182,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 1) <=> b011(1)))),
% 218.15/140.75 inference(transitivity,[status(thm)],[15181, 15177])).
% 218.15/140.75 tff(15183,plain,
% 218.15/140.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b011(1)))),
% 218.15/140.75 inference(quant_inst,[status(thm)],[])).
% 218.15/140.75 tff(15184,plain,
% 218.15/140.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (v124(constB63, 1) <=> b011(1))),
% 218.15/140.75 inference(modus_ponens,[status(thm)],[15183, 15182])).
% 218.15/140.75 tff(15185,plain,
% 218.15/140.75 (v124(constB63, 1) <=> b011(1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15184, 12635])).
% 218.15/140.75 tff(15186,plain,
% 218.15/140.75 ((~(v124(constB63, 1) <=> b011(1))) | v124(constB63, 1) | (~b011(1))),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15187,plain,
% 218.15/140.75 ((~(v124(constB63, 1) <=> b011(1))) | v124(constB63, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15186, 2593])).
% 218.15/140.75 tff(15188,plain,
% 218.15/140.75 (v124(constB63, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15187, 15185])).
% 218.15/140.75 tff(15189,plain,
% 218.15/140.75 (v121(constB63, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13392, 15188])).
% 218.15/140.75 tff(15190,plain,
% 218.15/140.75 (v123(constB64, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13397, 15189])).
% 218.15/140.75 tff(15191,plain,
% 218.15/140.75 ((~(v84(constB64, 1) <=> v123(constB64, 1))) | v84(constB64, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12561, 15190])).
% 218.15/140.75 tff(15192,plain,
% 218.15/140.75 (v84(constB64, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15191, 12560])).
% 218.15/140.75 tff(15193,plain,
% 218.15/140.75 ((~(v84(constB65, 1) <=> v84(constB64, 1))) | v84(constB65, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7025, 15192])).
% 218.15/140.75 tff(15194,plain,
% 218.15/140.75 (v84(constB65, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15193, 6302])).
% 218.15/140.75 tff(15195,plain,
% 218.15/140.75 (v124(constB63, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12645, 12635])).
% 218.15/140.75 tff(15196,plain,
% 218.15/140.75 (v121(constB63, 0) | (~v124(constB63, 0))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12629, 13457])).
% 218.15/140.75 tff(15197,plain,
% 218.15/140.75 (v121(constB63, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15196, 15195])).
% 218.15/140.75 tff(15198,plain,
% 218.15/140.75 (v123(constB64, 0) | (~v121(constB63, 0))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12626, 13463])).
% 218.15/140.75 tff(15199,plain,
% 218.15/140.75 (v123(constB64, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15198, 15197])).
% 218.15/140.75 tff(15200,plain,
% 218.15/140.75 ((~(v84(constB64, 0) <=> v123(constB64, 0))) | v84(constB64, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12623, 15199])).
% 218.15/140.75 tff(15201,plain,
% 218.15/140.75 (v84(constB64, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15200, 12622])).
% 218.15/140.75 tff(15202,plain,
% 218.15/140.75 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | v84(constB65, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7056, 15201])).
% 218.15/140.75 tff(15203,plain,
% 218.15/140.75 (v84(constB65, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15202, 7043])).
% 218.15/140.75 tff(15204,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12111, 15203, 15194, 12110, 15176])).
% 218.15/140.75 tff(15205,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))) | (~((~v84(constB65, 1)) | v84(constB65, 2) | (~v84(constB65, 0)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15206,plain,
% 218.15/140.75 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b011(B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15205, 15171, 12513])).
% 218.15/140.75 tff(15207,plain,
% 218.15/140.75 (~v115(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12656, 15206])).
% 218.15/140.75 tff(15208,plain,
% 218.15/140.75 (v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15064, 15207])).
% 218.15/140.75 tff(15209,assumption,(~(v113(constB63) | v114(constB63))), introduced(assumption)).
% 218.15/140.75 tff(15210,plain,
% 218.15/140.75 (~v113(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12787, 15209])).
% 218.15/140.75 tff(15211,plain,
% 218.15/140.75 (v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14960, 15210])).
% 218.15/140.75 tff(15212,plain,
% 218.15/140.75 (~v114(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13347, 15209])).
% 218.15/140.75 tff(15213,plain,
% 218.15/140.75 (v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13981, 15212])).
% 218.15/140.75 tff(15214,plain,
% 218.15/140.75 (~v84(constB63, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13806, 13800, 13798, 13801])).
% 218.15/140.75 tff(15215,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14976, 15214, 14963, 13962, 13753, 13755])).
% 218.15/140.75 tff(15216,plain,(v84(constB63, 2) | (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))) | (~(v84(constB63, 1) | (~v84(constB63, 0)) | (~v84(constB63, 2)))) | (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2))) | (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))) | (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15217,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15216, 14965, 13800, 13798, 13962, 13801, 13755])).
% 218.15/140.75 tff(15218,plain,(v84(constB63, 2) | (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))) | (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))) | (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))) | (~(v84(constB63, 0) | v84(constB63, 1) | v84(constB63, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15219,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15218, 15213, 15211, 13798, 13801, 13800])).
% 218.15/140.75 tff(15220,plain,((v113(constB63) | v114(constB63)) | (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))) | (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))) | v84(constB63, 2)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15221,plain,
% 218.15/140.75 (~(v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15220, 15208, 13800, 15150])).
% 218.15/140.75 tff(15222,plain,
% 218.15/140.75 (v116(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15058, 15221])).
% 218.15/140.75 tff(15223,plain,
% 218.15/140.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b100(B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12732, 15222])).
% 218.15/140.75 tff(15224,plain,
% 218.15/140.75 (v124(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12721, 15223])).
% 218.15/140.75 tff(15225,plain,
% 218.15/140.75 (v121(constB63, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14869, 15224])).
% 218.15/140.75 tff(15226,plain,
% 218.15/140.75 (v123(constB64, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14871, 15225])).
% 218.15/140.75 tff(15227,plain,
% 218.15/140.75 (v84(constB64, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12523, 15226, 14152])).
% 218.15/140.75 tff(15228,plain,
% 218.15/140.75 (v84(constB65, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14874, 15227])).
% 218.15/140.75 tff(15229,plain,
% 218.15/140.75 (v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13836, 15228])).
% 218.15/140.75 tff(15230,plain,
% 218.15/140.75 ((~v115(constB65)) | (~(v84(constB65, 0) | (~v84(constB65, 1)) | v84(constB65, 2)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7078, 13476])).
% 218.15/140.75 tff(15231,plain,
% 218.15/140.75 (~v115(constB65)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15230, 15229])).
% 218.15/140.75 tff(15232,plain,
% 218.15/140.75 (v84(constB66, 2) <=> v123(constB66, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13500, 15138])).
% 218.15/140.75 tff(15233,plain,
% 218.15/140.75 (v123(constB66, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13502, 15232, 13346])).
% 218.15/140.75 tff(15234,plain,
% 218.15/140.75 (v121(constB65, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13508, 15233])).
% 218.15/140.75 tff(15235,plain,
% 218.15/140.75 (v124(constB65, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13514, 15234])).
% 218.15/140.75 tff(15236,plain,
% 218.15/140.75 ((~(v124(constB65, 2) <=> b001(2))) | (~v124(constB65, 2)) | b001(2)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15237,plain,
% 218.15/140.75 (~(v124(constB65, 2) <=> b001(2))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15236, 1831, 14045])).
% 218.15/140.75 tff(15238,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 2) <=> b001(2)))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15239,plain,
% 218.15/140.75 (($false | $false | (v124(constB65, 2) <=> b001(2))) <=> (v124(constB65, 2) <=> b001(2))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15240,plain,
% 218.15/140.75 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b001(2))) <=> ($false | $false | (v124(constB65, 2) <=> b001(2)))),
% 218.15/140.75 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.75 tff(15241,plain,
% 218.15/140.75 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b001(2))) <=> (v124(constB65, 2) <=> b001(2))),
% 218.15/140.75 inference(transitivity,[status(thm)],[15240, 15239])).
% 218.15/140.75 tff(15242,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 2) <=> b001(2)))),
% 218.15/140.75 inference(monotonicity,[status(thm)],[15241])).
% 218.15/140.75 tff(15243,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 2) <=> b001(2)))),
% 218.15/140.75 inference(transitivity,[status(thm)],[15242, 15238])).
% 218.15/140.75 tff(15244,plain,
% 218.15/140.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB65, 2) <=> b001(2)))),
% 218.15/140.75 inference(quant_inst,[status(thm)],[])).
% 218.15/140.75 tff(15245,plain,
% 218.15/140.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 2) <=> b001(2))),
% 218.15/140.75 inference(modus_ponens,[status(thm)],[15244, 15243])).
% 218.15/140.75 tff(15246,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15245, 12878, 15237])).
% 218.15/140.75 tff(15247,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (~v124(constB65, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15248,plain,
% 218.15/140.75 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15247, 15235])).
% 218.15/140.75 tff(15249,plain,
% 218.15/140.75 (~v124(constB63, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14785, 15223])).
% 218.15/140.75 tff(15250,plain,
% 218.15/140.75 (~v121(constB63, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13459, 15249])).
% 218.15/140.75 tff(15251,plain,
% 218.15/140.75 (~v123(constB64, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13465, 15250])).
% 218.15/140.75 tff(15252,plain,
% 218.15/140.75 (~v84(constB64, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13467, 15251, 14900])).
% 218.15/140.75 tff(15253,plain,
% 218.15/140.75 ((~(v84(constB65, 0) <=> v84(constB64, 0))) | (~v84(constB65, 0))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13470, 15252])).
% 218.15/140.75 tff(15254,plain,
% 218.15/140.75 (~v84(constB65, 0)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15253, 7043])).
% 218.15/140.75 tff(15255,plain,
% 218.15/140.75 (v117(constB65)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[14854, 15254, 15248, 15231])).
% 218.15/140.75 tff(15256,plain,
% 218.15/140.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12464, 15255])).
% 218.15/140.75 tff(15257,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 1) <=> b101(1)))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15258,plain,
% 218.15/140.75 (($false | $false | (v124(constB65, 1) <=> b101(1))) <=> (v124(constB65, 1) <=> b101(1))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15259,plain,
% 218.15/140.75 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b101(1))) <=> ($false | $false | (v124(constB65, 1) <=> b101(1)))),
% 218.15/140.75 inference(monotonicity,[status(thm)],[402, 401])).
% 218.15/140.75 tff(15260,plain,
% 218.15/140.75 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b101(1))) <=> (v124(constB65, 1) <=> b101(1))),
% 218.15/140.75 inference(transitivity,[status(thm)],[15259, 15258])).
% 218.15/140.75 tff(15261,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 1) <=> b101(1)))),
% 218.15/140.75 inference(monotonicity,[status(thm)],[15260])).
% 218.15/140.75 tff(15262,plain,
% 218.15/140.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 1) <=> b101(1)))),
% 218.15/140.75 inference(transitivity,[status(thm)],[15261, 15257])).
% 218.15/140.75 tff(15263,plain,
% 218.15/140.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b101(1)))),
% 218.15/140.75 inference(quant_inst,[status(thm)],[])).
% 218.15/140.75 tff(15264,plain,
% 218.15/140.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b101(B)))) | (v124(constB65, 1) <=> b101(1))),
% 218.15/140.75 inference(modus_ponens,[status(thm)],[15263, 15262])).
% 218.15/140.75 tff(15265,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15264, 15256, 15149])).
% 218.15/140.75 tff(15266,plain,(v84(constB63, 2) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (~v84(constB66, 1)) | (~v84(constB66, 2))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15267,plain,
% 218.15/140.75 (~v84(constB66, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15266, 14927, 14936, 12513])).
% 218.15/140.75 tff(15268,plain,
% 218.15/140.75 ((~v84(constB67, 1)) | v84(constB66, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[13646, 14041])).
% 218.15/140.75 tff(15269,plain,
% 218.15/140.75 (~v84(constB67, 1)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15268, 15267])).
% 218.15/140.75 tff(15270,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[5437, 15269, 14930, 5421, 5432, 14867])).
% 218.15/140.75 tff(15271,plain,((~v116(constB63)) | (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))) | (~(v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))) | (~(v84(constB66, 2) <=> v123(constB66, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15272,plain,
% 218.15/140.75 (~v116(constB63)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15271, 14772, 14763, 14020, 14006])).
% 218.15/140.75 tff(15273,plain,
% 218.15/140.75 ((~(v107(constB65) <=> (v108(constB65) | v119(constB65)))) | (v108(constB65) | v119(constB65))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7194, 14007])).
% 218.15/140.75 tff(15274,plain,
% 218.15/140.75 (v108(constB65) | v119(constB65)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15273, 6247])).
% 218.15/140.75 tff(15275,plain,
% 218.15/140.75 (v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7323, 13340])).
% 218.15/140.75 tff(15276,plain,
% 218.15/140.75 (v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7333, 13340])).
% 218.15/140.75 tff(15277,plain,
% 218.15/140.75 (v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[12143, 13340])).
% 218.15/140.75 tff(15278,plain,
% 218.15/140.75 (v105(constB59) | v106(constB59)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[7372, 7341])).
% 218.15/140.75 tff(15279,plain,
% 218.15/140.75 ((~(v105(constB59) | v106(constB59))) | v105(constB59) | v106(constB59)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15280,plain,
% 218.15/140.75 ((~(v105(constB59) | v106(constB59))) | v106(constB59)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15279, 6477])).
% 218.15/140.75 tff(15281,plain,
% 218.15/140.75 (v106(constB59)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15280, 15278])).
% 218.15/140.75 tff(15282,plain,
% 218.15/140.75 ((~(v106(constB59) <=> (~((~v107(constB59)) | (~v120(constB59)))))) | (~v106(constB59)) | (~((~v107(constB59)) | (~v120(constB59))))),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15283,plain,
% 218.15/140.75 ((~v106(constB59)) | (~((~v107(constB59)) | (~v120(constB59))))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15282, 6465])).
% 218.15/140.75 tff(15284,plain,
% 218.15/140.75 (~((~v107(constB59)) | (~v120(constB59)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15283, 15281])).
% 218.15/140.75 tff(15285,plain,
% 218.15/140.75 (((~v107(constB59)) | (~v120(constB59))) | v107(constB59)),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15286,plain,
% 218.15/140.75 (v107(constB59)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15285, 15284])).
% 218.15/140.75 tff(15287,assumption,(~(v107(constB59) <=> (v108(constB59) | v119(constB59)))), introduced(assumption)).
% 218.15/140.75 tff(15288,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[6460, 187, 15287])).
% 218.15/140.75 tff(15289,plain,(v107(constB59) <=> (v108(constB59) | v119(constB59))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15290,plain,
% 218.15/140.75 ((~(v107(constB59) <=> (v108(constB59) | v119(constB59)))) | (~v107(constB59)) | (v108(constB59) | v119(constB59))),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15291,plain,
% 218.15/140.75 ((~v107(constB59)) | (v108(constB59) | v119(constB59))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15290, 15289])).
% 218.15/140.75 tff(15292,plain,
% 218.15/140.75 (v108(constB59) | v119(constB59)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15291, 15286])).
% 218.15/140.75 tff(15293,plain,
% 218.15/140.75 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB57) <=> (~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB57) <=> (~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0))))))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15294,plain,
% 218.15/140.75 ((v116(constB57) <=> (~(v84(constB57, 2) | (~v84(constB57, 1)) | (~v84(constB57, 0))))) <=> (v116(constB57) <=> (~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0)))))),
% 218.15/140.75 inference(rewrite,[status(thm)],[])).
% 218.15/140.75 tff(15295,plain,
% 218.15/140.75 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB57) <=> (~(v84(constB57, 2) | (~v84(constB57, 1)) | (~v84(constB57, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB57) <=> (~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0))))))),
% 218.15/140.75 inference(monotonicity,[status(thm)],[15294])).
% 218.15/140.75 tff(15296,plain,
% 218.15/140.75 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB57) <=> (~(v84(constB57, 2) | (~v84(constB57, 1)) | (~v84(constB57, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB57) <=> (~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0))))))),
% 218.15/140.75 inference(transitivity,[status(thm)],[15295, 15293])).
% 218.15/140.75 tff(15297,plain,
% 218.15/140.75 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB57) <=> (~(v84(constB57, 2) | (~v84(constB57, 1)) | (~v84(constB57, 0)))))),
% 218.15/140.75 inference(quant_inst,[status(thm)],[])).
% 218.15/140.75 tff(15298,plain,
% 218.15/140.75 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB57) <=> (~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0)))))),
% 218.15/140.75 inference(modus_ponens,[status(thm)],[15297, 15296])).
% 218.15/140.75 tff(15299,plain,
% 218.15/140.75 (v116(constB57) <=> (~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0))))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15298, 521])).
% 218.15/140.75 tff(15300,plain,
% 218.15/140.75 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB57) <=> (v111(constB57) | v116(constB57)))),
% 218.15/140.75 inference(quant_inst,[status(thm)],[])).
% 218.15/140.75 tff(15301,plain,
% 218.15/140.75 (v110(constB57) <=> (v111(constB57) | v116(constB57))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15300, 265])).
% 218.15/140.75 tff(15302,plain,
% 218.15/140.75 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB57) <=> (v110(constB57) | v117(constB57)))),
% 218.15/140.75 inference(quant_inst,[status(thm)],[])).
% 218.15/140.75 tff(15303,plain,
% 218.15/140.75 (v109(constB57) <=> (v110(constB57) | v117(constB57))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15302, 456])).
% 218.15/140.75 tff(15304,assumption,(~(v108(constB57) | v119(constB57))), introduced(assumption)).
% 218.15/140.75 tff(15305,plain,
% 218.15/140.75 ((v108(constB57) | v119(constB57)) | (~v108(constB57))),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15306,plain,
% 218.15/140.75 (~v108(constB57)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15305, 15304])).
% 218.15/140.75 tff(15307,assumption,(~(v108(constB57) <=> (v109(constB57) | v118(constB57)))), introduced(assumption)).
% 218.15/140.75 tff(15308,plain,
% 218.15/140.75 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB57) <=> (v109(constB57) | v118(constB57)))),
% 218.15/140.75 inference(quant_inst,[status(thm)],[])).
% 218.15/140.75 tff(15309,plain,
% 218.15/140.75 ($false),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15308, 428, 15307])).
% 218.15/140.75 tff(15310,plain,(v108(constB57) <=> (v109(constB57) | v118(constB57))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.75 tff(15311,plain,
% 218.15/140.75 ((~(v108(constB57) <=> (v109(constB57) | v118(constB57)))) | v108(constB57) | (~(v109(constB57) | v118(constB57)))),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15312,plain,
% 218.15/140.75 (v108(constB57) | (~(v109(constB57) | v118(constB57)))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15311, 15310])).
% 218.15/140.75 tff(15313,plain,
% 218.15/140.75 (~(v109(constB57) | v118(constB57))),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15312, 15306])).
% 218.15/140.75 tff(15314,plain,
% 218.15/140.75 ((v109(constB57) | v118(constB57)) | (~v109(constB57))),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.75 tff(15315,plain,
% 218.15/140.75 (~v109(constB57)),
% 218.15/140.75 inference(unit_resolution,[status(thm)],[15314, 15313])).
% 218.15/140.75 tff(15316,plain,
% 218.15/140.75 ((~(v109(constB57) <=> (v110(constB57) | v117(constB57)))) | v109(constB57) | (~(v110(constB57) | v117(constB57)))),
% 218.15/140.75 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15317,plain,
% 218.15/140.76 ((~(v109(constB57) <=> (v110(constB57) | v117(constB57)))) | (~(v110(constB57) | v117(constB57)))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15316, 15315])).
% 218.15/140.76 tff(15318,plain,
% 218.15/140.76 (~(v110(constB57) | v117(constB57))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15317, 15303])).
% 218.15/140.76 tff(15319,plain,
% 218.15/140.76 ((v110(constB57) | v117(constB57)) | (~v110(constB57))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15320,plain,
% 218.15/140.76 (~v110(constB57)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15319, 15318])).
% 218.15/140.76 tff(15321,plain,
% 218.15/140.76 ((~(v110(constB57) <=> (v111(constB57) | v116(constB57)))) | v110(constB57) | (~(v111(constB57) | v116(constB57)))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15322,plain,
% 218.15/140.76 ((~(v110(constB57) <=> (v111(constB57) | v116(constB57)))) | (~(v111(constB57) | v116(constB57)))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15321, 15320])).
% 218.15/140.76 tff(15323,plain,
% 218.15/140.76 (~(v111(constB57) | v116(constB57))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15322, 15301])).
% 218.15/140.76 tff(15324,plain,
% 218.15/140.76 ((v111(constB57) | v116(constB57)) | (~v116(constB57))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15325,plain,
% 218.15/140.76 (~v116(constB57)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15324, 15323])).
% 218.15/140.76 tff(15326,plain,
% 218.15/140.76 ((~(v116(constB57) <=> (~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0)))))) | v116(constB57) | ((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0)))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15327,plain,
% 218.15/140.76 ((~(v116(constB57) <=> (~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0)))))) | ((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0)))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15326, 15325])).
% 218.15/140.76 tff(15328,plain,
% 218.15/140.76 ((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15327, 15299])).
% 218.15/140.76 tff(15329,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2)))))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15330,plain,
% 218.15/140.76 (v117(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2))))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15329, 656])).
% 218.15/140.76 tff(15331,plain,
% 218.15/140.76 ((v110(constB57) | v117(constB57)) | (~v117(constB57))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15332,plain,
% 218.15/140.76 (~v117(constB57)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15331, 15318])).
% 218.15/140.76 tff(15333,plain,
% 218.15/140.76 ((~(v117(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2)))))) | v117(constB57) | (v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2)))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15334,plain,
% 218.15/140.76 ((~(v117(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2)))))) | (v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2)))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15333, 15332])).
% 218.15/140.76 tff(15335,plain,
% 218.15/140.76 (v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15334, 15330])).
% 218.15/140.76 tff(15336,assumption,(~(v115(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2))))), introduced(assumption)).
% 218.15/140.76 tff(15337,plain,
% 218.15/140.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)))))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15338,plain,
% 218.15/140.76 ((v115(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 2) | (~v84(constB57, 1))))) <=> (v115(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2))))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15339,plain,
% 218.15/140.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 2) | (~v84(constB57, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)))))),
% 218.15/140.76 inference(monotonicity,[status(thm)],[15338])).
% 218.15/140.76 tff(15340,plain,
% 218.15/140.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 2) | (~v84(constB57, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)))))),
% 218.15/140.76 inference(transitivity,[status(thm)],[15339, 15337])).
% 218.15/140.76 tff(15341,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 2) | (~v84(constB57, 1)))))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15342,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2))))),
% 218.15/140.76 inference(modus_ponens,[status(thm)],[15341, 15340])).
% 218.15/140.76 tff(15343,plain,
% 218.15/140.76 ($false),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15342, 622, 15336])).
% 218.15/140.76 tff(15344,plain,(v115(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.76 tff(15345,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB57) <=> (v112(constB57) | v115(constB57)))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15346,plain,
% 218.15/140.76 (v111(constB57) <=> (v112(constB57) | v115(constB57))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15345, 274])).
% 218.15/140.76 tff(15347,plain,
% 218.15/140.76 ((v111(constB57) | v116(constB57)) | (~v111(constB57))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15348,plain,
% 218.15/140.76 (~v111(constB57)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15347, 15323])).
% 218.15/140.76 tff(15349,plain,
% 218.15/140.76 ((~(v111(constB57) <=> (v112(constB57) | v115(constB57)))) | v111(constB57) | (~(v112(constB57) | v115(constB57)))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15350,plain,
% 218.15/140.76 ((~(v111(constB57) <=> (v112(constB57) | v115(constB57)))) | (~(v112(constB57) | v115(constB57)))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15349, 15348])).
% 218.15/140.76 tff(15351,plain,
% 218.15/140.76 (~(v112(constB57) | v115(constB57))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15350, 15346])).
% 218.15/140.76 tff(15352,plain,
% 218.15/140.76 ((v112(constB57) | v115(constB57)) | (~v115(constB57))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15353,plain,
% 218.15/140.76 (~v115(constB57)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15352, 15351])).
% 218.15/140.76 tff(15354,plain,
% 218.15/140.76 ((~(v115(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2))))) | v115(constB57) | (v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15355,plain,
% 218.15/140.76 (v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15354, 15353, 15344])).
% 218.15/140.76 tff(15356,plain,
% 218.15/140.76 ((v108(constB57) | v119(constB57)) | (~v119(constB57))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15357,plain,
% 218.15/140.76 (~v119(constB57)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15356, 15304])).
% 218.15/140.76 tff(15358,assumption,(~(v119(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2)))))), introduced(assumption)).
% 218.15/140.76 tff(15359,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2)))))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15360,plain,
% 218.15/140.76 ($false),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15359, 318, 15358])).
% 218.15/140.76 tff(15361,plain,(v119(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.15/140.76 tff(15362,plain,
% 218.15/140.76 ((~(v119(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2)))))) | v119(constB57) | (v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2)))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15363,plain,
% 218.15/140.76 (v119(constB57) | (v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2)))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15362, 15361])).
% 218.15/140.76 tff(15364,plain,
% 218.15/140.76 (v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15363, 15357])).
% 218.15/140.76 tff(15365,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15366,plain,
% 218.15/140.76 (v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15365, 298])).
% 218.15/140.76 tff(15367,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB57) <=> (v113(constB57) | v114(constB57)))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15368,plain,
% 218.15/140.76 (v112(constB57) <=> (v113(constB57) | v114(constB57))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15367, 283])).
% 218.15/140.76 tff(15369,plain,
% 218.15/140.76 ((v112(constB57) | v115(constB57)) | (~v112(constB57))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15370,plain,
% 218.15/140.76 (~v112(constB57)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15369, 15351])).
% 218.15/140.76 tff(15371,plain,
% 218.15/140.76 ((~(v112(constB57) <=> (v113(constB57) | v114(constB57)))) | v112(constB57) | (~(v113(constB57) | v114(constB57)))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15372,plain,
% 218.15/140.76 ((~(v112(constB57) <=> (v113(constB57) | v114(constB57)))) | (~(v113(constB57) | v114(constB57)))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15371, 15370])).
% 218.15/140.76 tff(15373,plain,
% 218.15/140.76 (~(v113(constB57) | v114(constB57))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15372, 15368])).
% 218.15/140.76 tff(15374,plain,
% 218.15/140.76 ((v113(constB57) | v114(constB57)) | (~v114(constB57))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15375,plain,
% 218.15/140.76 (~v114(constB57)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15374, 15373])).
% 218.15/140.76 tff(15376,plain,
% 218.15/140.76 ((~(v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))))) | v114(constB57) | (v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15377,plain,
% 218.15/140.76 ((~(v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))))) | (v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15376, 15375])).
% 218.15/140.76 tff(15378,plain,
% 218.15/140.76 (v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15377, 15366])).
% 218.15/140.76 tff(15379,assumption,(~v84(constB57, 0)), introduced(assumption)).
% 218.15/140.76 tff(15380,assumption,(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)), introduced(assumption)).
% 218.15/140.76 tff(15381,assumption,(~(v84(constB57, 0) <=> v84(constB56, 0))), introduced(assumption)).
% 218.15/140.76 tff(15382,plain,
% 218.15/140.76 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15383,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56')).
% 218.15/140.76 tff(15384,plain,
% 218.15/140.76 (nextState(constB56, constB57)),
% 218.15/140.76 inference(modus_ponens,[status(thm)],[15383, 15382])).
% 218.15/140.76 tff(15385,plain,
% 218.15/140.76 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57))))))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15386,plain,
% 218.15/140.76 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57))))))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15387,plain,
% 218.15/140.76 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57)))))),
% 218.15/140.76 inference(modus_ponens,[status(thm)],[15386, 15385])).
% 218.15/140.76 tff(15388,plain,
% 218.15/140.76 (v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57))))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15387, 15384, 14])).
% 218.15/140.76 tff(15389,plain,
% 218.15/140.76 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15390,plain,
% 218.15/140.76 (((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57)))))) <=> ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15391,plain,
% 218.15/140.76 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))))),
% 218.15/140.76 inference(monotonicity,[status(thm)],[15390])).
% 218.15/140.76 tff(15392,plain,
% 218.15/140.76 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))),
% 218.15/140.76 inference(transitivity,[status(thm)],[15391, 15389])).
% 218.15/140.76 tff(15393,plain,
% 218.15/140.76 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57))))))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15394,plain,
% 218.15/140.76 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))),
% 218.15/140.76 inference(modus_ponens,[status(thm)],[15393, 15392])).
% 218.15/140.76 tff(15395,plain,
% 218.15/140.76 (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15394, 15384, 37])).
% 218.15/140.76 tff(15396,plain,
% 218.15/140.76 ((~v1(constB57)) <=> (~v1(constB57))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15397,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57')).
% 218.15/140.76 tff(15398,plain,
% 218.15/140.76 (~v1(constB57)),
% 218.15/140.76 inference(modus_ponens,[status(thm)],[15397, 15396])).
% 218.15/140.76 tff(15399,plain,
% 218.15/140.76 (((~v1(constB57)) | (~v96(constB57))) | v1(constB57)),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15400,plain,
% 218.15/140.76 ((~v1(constB57)) | (~v96(constB57))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15399, 15398])).
% 218.15/140.76 tff(15401,plain,
% 218.15/140.76 ((~(v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))) | (~v95(constB57)) | (~((~v1(constB57)) | (~v96(constB57))))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15402,plain,
% 218.15/140.76 ((~(v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))) | (~v95(constB57))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15401, 15400])).
% 218.15/140.76 tff(15403,plain,
% 218.15/140.76 (~v95(constB57)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15402, 15395])).
% 218.15/140.76 tff(15404,plain,
% 218.15/140.76 (((~v95(constB57)) | (~v104(constB57))) | v95(constB57)),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15405,plain,
% 218.15/140.76 ((~v95(constB57)) | (~v104(constB57))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15404, 15403])).
% 218.15/140.76 tff(15406,plain,
% 218.15/140.76 ((~(v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57)))))) | (~v94(constB57)) | (~((~v95(constB57)) | (~v104(constB57))))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15407,plain,
% 218.15/140.76 (~v94(constB57)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15406, 15405, 15388])).
% 218.15/140.76 tff(15408,plain,
% 218.15/140.76 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB57) | (~nextState(constB56, constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB57) | (~nextState(constB56, constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B))))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15409,plain,
% 218.15/140.76 ((v94(constB57) | (~nextState(constB56, constB57)) | ![B: $int] : ((v84(constB57, B) <=> v84(constB56, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB57) | (~nextState(constB56, constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B))))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15410,plain,
% 218.15/140.76 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB57) | (~nextState(constB56, constB57)) | ![B: $int] : ((v84(constB57, B) <=> v84(constB56, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB57) | (~nextState(constB56, constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))))),
% 218.15/140.76 inference(monotonicity,[status(thm)],[15409])).
% 218.15/140.76 tff(15411,plain,
% 218.15/140.76 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB57) | (~nextState(constB56, constB57)) | ![B: $int] : ((v84(constB57, B) <=> v84(constB56, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB57) | (~nextState(constB56, constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B))))),
% 218.15/140.76 inference(transitivity,[status(thm)],[15410, 15408])).
% 218.15/140.76 tff(15412,plain,
% 218.15/140.76 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB57) | (~nextState(constB56, constB57)) | ![B: $int] : ((v84(constB57, B) <=> v84(constB56, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15413,plain,
% 218.15/140.76 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB57) | (~nextState(constB56, constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))),
% 218.15/140.76 inference(modus_ponens,[status(thm)],[15412, 15411])).
% 218.15/140.76 tff(15414,plain,
% 218.15/140.76 (v94(constB57) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15413, 15384, 235])).
% 218.15/140.76 tff(15415,plain,
% 218.15/140.76 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15414, 15407])).
% 218.15/140.76 tff(15416,plain,
% 218.15/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 0) <=> v84(constB56, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 0) <=> v84(constB56, 0)))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15417,plain,
% 218.15/140.76 (($false | $false | (v84(constB57, 0) <=> v84(constB56, 0))) <=> (v84(constB57, 0) <=> v84(constB56, 0))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15418,plain,
% 218.15/140.76 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB57, 0) <=> v84(constB56, 0))) <=> ($false | $false | (v84(constB57, 0) <=> v84(constB56, 0)))),
% 218.15/140.76 inference(monotonicity,[status(thm)],[250, 249])).
% 218.15/140.76 tff(15419,plain,
% 218.15/140.76 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB57, 0) <=> v84(constB56, 0))) <=> (v84(constB57, 0) <=> v84(constB56, 0))),
% 218.15/140.76 inference(transitivity,[status(thm)],[15418, 15417])).
% 218.15/140.76 tff(15420,plain,
% 218.15/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB57, 0) <=> v84(constB56, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 0) <=> v84(constB56, 0)))),
% 218.15/140.76 inference(monotonicity,[status(thm)],[15419])).
% 218.15/140.76 tff(15421,plain,
% 218.15/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB57, 0) <=> v84(constB56, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 0) <=> v84(constB56, 0)))),
% 218.15/140.76 inference(transitivity,[status(thm)],[15420, 15416])).
% 218.15/140.76 tff(15422,plain,
% 218.15/140.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB57, 0) <=> v84(constB56, 0)))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15423,plain,
% 218.15/140.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 0) <=> v84(constB56, 0))),
% 218.15/140.76 inference(modus_ponens,[status(thm)],[15422, 15421])).
% 218.15/140.76 tff(15424,plain,
% 218.15/140.76 ($false),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15423, 15415, 15381])).
% 218.15/140.76 tff(15425,plain,(v84(constB57, 0) <=> v84(constB56, 0)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.76 tff(15426,plain,
% 218.15/140.76 ((~(v84(constB57, 0) <=> v84(constB56, 0))) | v84(constB57, 0) | (~v84(constB56, 0))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15427,plain,
% 218.15/140.76 (v84(constB57, 0) | (~v84(constB56, 0))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15426, 15425])).
% 218.15/140.76 tff(15428,plain,
% 218.15/140.76 (~v84(constB56, 0)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15427, 15379])).
% 218.15/140.76 tff(15429,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB55) <=> (v112(constB55) | v115(constB55)))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15430,plain,
% 218.15/140.76 (v111(constB55) <=> (v112(constB55) | v115(constB55))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15429, 274])).
% 218.15/140.76 tff(15431,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB55) <=> (v113(constB55) | v114(constB55)))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15432,plain,
% 218.15/140.76 (v112(constB55) <=> (v113(constB55) | v114(constB55))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15431, 283])).
% 218.15/140.76 tff(15433,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15434,plain,
% 218.15/140.76 (v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15433, 597])).
% 218.15/140.76 tff(15435,assumption,(~v84(constB56, 0)), introduced(assumption)).
% 218.15/140.76 tff(15436,plain,
% 218.15/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 2) <=> v84(constB56, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 2) <=> v84(constB56, 2)))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15437,plain,
% 218.15/140.76 (($false | $false | (v84(constB57, 2) <=> v84(constB56, 2))) <=> (v84(constB57, 2) <=> v84(constB56, 2))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15438,plain,
% 218.15/140.76 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB57, 2) <=> v84(constB56, 2))) <=> ($false | $false | (v84(constB57, 2) <=> v84(constB56, 2)))),
% 218.15/140.76 inference(monotonicity,[status(thm)],[534, 533])).
% 218.15/140.76 tff(15439,plain,
% 218.15/140.76 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB57, 2) <=> v84(constB56, 2))) <=> (v84(constB57, 2) <=> v84(constB56, 2))),
% 218.15/140.76 inference(transitivity,[status(thm)],[15438, 15437])).
% 218.15/140.76 tff(15440,plain,
% 218.15/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB57, 2) <=> v84(constB56, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 2) <=> v84(constB56, 2)))),
% 218.15/140.76 inference(monotonicity,[status(thm)],[15439])).
% 218.15/140.76 tff(15441,plain,
% 218.15/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB57, 2) <=> v84(constB56, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 2) <=> v84(constB56, 2)))),
% 218.15/140.76 inference(transitivity,[status(thm)],[15440, 15436])).
% 218.15/140.76 tff(15442,plain,
% 218.15/140.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB57, 2) <=> v84(constB56, 2)))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15443,plain,
% 218.15/140.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 2) <=> v84(constB56, 2))),
% 218.15/140.76 inference(modus_ponens,[status(thm)],[15442, 15441])).
% 218.15/140.76 tff(15444,plain,
% 218.15/140.76 (v84(constB57, 2) <=> v84(constB56, 2)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15443, 15415])).
% 218.15/140.76 tff(15445,assumption,(~v84(constB56, 2)), introduced(assumption)).
% 218.15/140.76 tff(15446,plain,
% 218.15/140.76 ((~(v84(constB57, 2) <=> v84(constB56, 2))) | (~v84(constB57, 2)) | v84(constB56, 2)),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15447,plain,
% 218.15/140.76 ((~(v84(constB57, 2) <=> v84(constB56, 2))) | (~v84(constB57, 2))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15446, 15445])).
% 218.15/140.76 tff(15448,plain,
% 218.15/140.76 (~v84(constB57, 2)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15447, 15444])).
% 218.15/140.76 tff(15449,plain,
% 218.15/140.76 ((~(v84(constB57, 0) <=> v84(constB56, 0))) | (~v84(constB57, 0)) | v84(constB56, 0)),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15450,plain,
% 218.15/140.76 ((~v84(constB57, 0)) | v84(constB56, 0)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15449, 15425])).
% 218.15/140.76 tff(15451,plain,
% 218.15/140.76 (~v84(constB57, 0)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15450, 15435])).
% 218.15/140.76 tff(15452,plain,
% 218.15/140.76 ((~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2))) | v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15453,plain,
% 218.15/140.76 ((~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2))) | (~v84(constB57, 1)) | v84(constB57, 2)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15452, 15451])).
% 218.15/140.76 tff(15454,plain,
% 218.15/140.76 (~v84(constB57, 1)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15453, 15448, 15380])).
% 218.15/140.76 tff(15455,assumption,(~(v84(constB57, 1) <=> v84(constB56, 1))), introduced(assumption)).
% 218.15/140.76 tff(15456,plain,
% 218.15/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 1) <=> v84(constB56, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 1) <=> v84(constB56, 1)))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15457,plain,
% 218.15/140.76 (($false | $false | (v84(constB57, 1) <=> v84(constB56, 1))) <=> (v84(constB57, 1) <=> v84(constB56, 1))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15458,plain,
% 218.15/140.76 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB57, 1) <=> v84(constB56, 1))) <=> ($false | $false | (v84(constB57, 1) <=> v84(constB56, 1)))),
% 218.15/140.76 inference(monotonicity,[status(thm)],[402, 401])).
% 218.15/140.76 tff(15459,plain,
% 218.15/140.76 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB57, 1) <=> v84(constB56, 1))) <=> (v84(constB57, 1) <=> v84(constB56, 1))),
% 218.15/140.76 inference(transitivity,[status(thm)],[15458, 15457])).
% 218.15/140.76 tff(15460,plain,
% 218.15/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB57, 1) <=> v84(constB56, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 1) <=> v84(constB56, 1)))),
% 218.15/140.76 inference(monotonicity,[status(thm)],[15459])).
% 218.15/140.76 tff(15461,plain,
% 218.15/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB57, 1) <=> v84(constB56, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 1) <=> v84(constB56, 1)))),
% 218.15/140.76 inference(transitivity,[status(thm)],[15460, 15456])).
% 218.15/140.76 tff(15462,plain,
% 218.15/140.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB57, 1) <=> v84(constB56, 1)))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15463,plain,
% 218.15/140.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB57, B) <=> v84(constB56, B)))) | (v84(constB57, 1) <=> v84(constB56, 1))),
% 218.15/140.76 inference(modus_ponens,[status(thm)],[15462, 15461])).
% 218.15/140.76 tff(15464,plain,
% 218.15/140.76 ($false),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15463, 15415, 15455])).
% 218.15/140.76 tff(15465,plain,(v84(constB57, 1) <=> v84(constB56, 1)), inference(lemma,lemma(discharge,[]))).
% 218.15/140.76 tff(15466,plain,
% 218.15/140.76 ((~(v84(constB57, 1) <=> v84(constB56, 1))) | v84(constB57, 1) | (~v84(constB56, 1))),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15467,plain,
% 218.15/140.76 (v84(constB57, 1) | (~v84(constB56, 1))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15466, 15465])).
% 218.15/140.76 tff(15468,plain,
% 218.15/140.76 (~v84(constB56, 1)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15467, 15454])).
% 218.15/140.76 tff(15469,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB55) <=> v26(constB55))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15470,plain,
% 218.15/140.76 (v105(constB55) <=> v26(constB55)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15469, 156])).
% 218.15/140.76 tff(15471,plain,
% 218.15/140.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 218.15/140.76 inference(quant_inst,[status(thm)],[])).
% 218.15/140.76 tff(15472,plain,
% 218.15/140.76 (~v26(constB55)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15471, 168])).
% 218.15/140.76 tff(15473,plain,
% 218.15/140.76 ((~(v105(constB55) <=> v26(constB55))) | (~v105(constB55)) | v26(constB55)),
% 218.15/140.76 inference(tautology,[status(thm)],[])).
% 218.15/140.76 tff(15474,plain,
% 218.15/140.76 ((~(v105(constB55) <=> v26(constB55))) | (~v105(constB55))),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15473, 15472])).
% 218.15/140.76 tff(15475,plain,
% 218.15/140.76 (~v105(constB55)),
% 218.15/140.76 inference(unit_resolution,[status(thm)],[15474, 15470])).
% 218.15/140.76 tff(15476,plain,
% 218.15/140.76 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B))))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15477,plain,
% 218.15/140.76 ((v105(constB55) | ![B: $int] : ((v121(constB55, B) <=> v124(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B))))),
% 218.15/140.76 inference(rewrite,[status(thm)],[])).
% 218.15/140.76 tff(15478,plain,
% 218.15/140.76 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB55) | ![B: $int] : ((v121(constB55, B) <=> v124(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))))),
% 218.15/140.76 inference(monotonicity,[status(thm)],[15477])).
% 218.15/140.76 tff(15479,plain,
% 218.15/140.76 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB55) | ![B: $int] : ((v121(constB55, B) <=> v124(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B))))),
% 218.22/140.76 inference(transitivity,[status(thm)],[15478, 15476])).
% 218.22/140.76 tff(15480,plain,
% 218.22/140.76 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB55) | ![B: $int] : ((v121(constB55, B) <=> v124(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.22/140.76 inference(quant_inst,[status(thm)],[])).
% 218.22/140.76 tff(15481,plain,
% 218.22/140.76 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))),
% 218.22/140.76 inference(modus_ponens,[status(thm)],[15480, 15479])).
% 218.22/140.76 tff(15482,plain,
% 218.22/140.76 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))),
% 218.22/140.76 inference(unit_resolution,[status(thm)],[15481, 1562, 15475])).
% 218.22/140.76 tff(15483,plain,
% 218.22/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 1) <=> v124(constB55, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 1) <=> v124(constB55, 1)))),
% 218.22/140.76 inference(rewrite,[status(thm)],[])).
% 218.22/140.76 tff(15484,plain,
% 218.22/140.76 (($false | $false | (v121(constB55, 1) <=> v124(constB55, 1))) <=> (v121(constB55, 1) <=> v124(constB55, 1))),
% 218.22/140.76 inference(rewrite,[status(thm)],[])).
% 218.22/140.76 tff(15485,plain,
% 218.22/140.76 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB55, 1) <=> v124(constB55, 1))) <=> ($false | $false | (v121(constB55, 1) <=> v124(constB55, 1)))),
% 218.22/140.76 inference(monotonicity,[status(thm)],[402, 401])).
% 218.22/140.76 tff(15486,plain,
% 218.22/140.76 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB55, 1) <=> v124(constB55, 1))) <=> (v121(constB55, 1) <=> v124(constB55, 1))),
% 218.22/140.76 inference(transitivity,[status(thm)],[15485, 15484])).
% 218.22/140.76 tff(15487,plain,
% 218.22/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB55, 1) <=> v124(constB55, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 1) <=> v124(constB55, 1)))),
% 218.22/140.76 inference(monotonicity,[status(thm)],[15486])).
% 218.22/140.76 tff(15488,plain,
% 218.22/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB55, 1) <=> v124(constB55, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 1) <=> v124(constB55, 1)))),
% 218.22/140.76 inference(transitivity,[status(thm)],[15487, 15483])).
% 218.22/140.76 tff(15489,plain,
% 218.22/140.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB55, 1) <=> v124(constB55, 1)))),
% 218.22/140.76 inference(quant_inst,[status(thm)],[])).
% 218.22/140.76 tff(15490,plain,
% 218.22/140.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 1) <=> v124(constB55, 1))),
% 218.22/140.76 inference(modus_ponens,[status(thm)],[15489, 15488])).
% 218.22/140.76 tff(15491,plain,
% 218.22/140.76 (v121(constB55, 1) <=> v124(constB55, 1)),
% 218.22/140.76 inference(unit_resolution,[status(thm)],[15490, 15482])).
% 218.22/140.76 tff(15492,plain,
% 218.22/140.76 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 218.22/140.76 inference(rewrite,[status(thm)],[])).
% 218.22/140.76 tff(15493,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55')).
% 218.22/140.76 tff(15494,plain,
% 218.22/140.76 (nextState(constB55, constB56)),
% 218.22/140.76 inference(modus_ponens,[status(thm)],[15493, 15492])).
% 218.22/140.76 tff(15495,plain,
% 218.22/140.76 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B))))),
% 218.22/140.76 inference(rewrite,[status(thm)],[])).
% 218.22/140.76 tff(15496,plain,
% 218.22/140.76 (((~nextState(constB55, constB56)) | ![B: $int] : ((v123(constB56, B) <=> v121(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B))))),
% 218.22/140.76 inference(rewrite,[status(thm)],[])).
% 218.22/140.76 tff(15497,plain,
% 218.22/140.76 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB55, constB56)) | ![B: $int] : ((v123(constB56, B) <=> v121(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))))),
% 218.22/140.76 inference(monotonicity,[status(thm)],[15496])).
% 218.22/140.76 tff(15498,plain,
% 218.22/140.76 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB55, constB56)) | ![B: $int] : ((v123(constB56, B) <=> v121(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B))))),
% 218.22/140.76 inference(transitivity,[status(thm)],[15497, 15495])).
% 218.22/140.76 tff(15499,plain,
% 218.22/140.76 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB55, constB56)) | ![B: $int] : ((v123(constB56, B) <=> v121(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.22/140.76 inference(quant_inst,[status(thm)],[])).
% 218.22/140.76 tff(15500,plain,
% 218.22/140.76 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))),
% 218.22/140.76 inference(modus_ponens,[status(thm)],[15499, 15498])).
% 218.22/140.76 tff(15501,plain,
% 218.22/140.76 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))),
% 218.22/140.76 inference(unit_resolution,[status(thm)],[15500, 15494, 1527])).
% 218.22/140.76 tff(15502,plain,
% 218.22/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 1) <=> v121(constB55, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 1) <=> v121(constB55, 1)))),
% 218.22/140.76 inference(rewrite,[status(thm)],[])).
% 218.22/140.76 tff(15503,plain,
% 218.22/140.76 (($false | $false | (v123(constB56, 1) <=> v121(constB55, 1))) <=> (v123(constB56, 1) <=> v121(constB55, 1))),
% 218.22/140.76 inference(rewrite,[status(thm)],[])).
% 218.22/140.76 tff(15504,plain,
% 218.22/140.76 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB56, 1) <=> v121(constB55, 1))) <=> ($false | $false | (v123(constB56, 1) <=> v121(constB55, 1)))),
% 218.22/140.76 inference(monotonicity,[status(thm)],[402, 401])).
% 218.22/140.76 tff(15505,plain,
% 218.22/140.76 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB56, 1) <=> v121(constB55, 1))) <=> (v123(constB56, 1) <=> v121(constB55, 1))),
% 218.22/140.76 inference(transitivity,[status(thm)],[15504, 15503])).
% 218.22/140.76 tff(15506,plain,
% 218.22/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB56, 1) <=> v121(constB55, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 1) <=> v121(constB55, 1)))),
% 218.22/140.76 inference(monotonicity,[status(thm)],[15505])).
% 218.22/140.76 tff(15507,plain,
% 218.22/140.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB56, 1) <=> v121(constB55, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 1) <=> v121(constB55, 1)))),
% 218.22/140.76 inference(transitivity,[status(thm)],[15506, 15502])).
% 218.22/140.76 tff(15508,plain,
% 218.22/140.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB56, 1) <=> v121(constB55, 1)))),
% 218.22/140.77 inference(quant_inst,[status(thm)],[])).
% 218.22/140.77 tff(15509,plain,
% 218.22/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 1) <=> v121(constB55, 1))),
% 218.22/140.77 inference(modus_ponens,[status(thm)],[15508, 15507])).
% 218.22/140.77 tff(15510,plain,
% 218.22/140.77 (v123(constB56, 1) <=> v121(constB55, 1)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15509, 15501])).
% 218.22/140.77 tff(15511,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))), introduced(assumption)).
% 218.22/140.77 tff(15512,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 1) <=> v123(constB56, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 1) <=> v123(constB56, 1)))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15513,plain,
% 218.22/140.77 (($false | $false | (v84(constB56, 1) <=> v123(constB56, 1))) <=> (v84(constB56, 1) <=> v123(constB56, 1))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15514,plain,
% 218.22/140.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB56, 1) <=> v123(constB56, 1))) <=> ($false | $false | (v84(constB56, 1) <=> v123(constB56, 1)))),
% 218.22/140.77 inference(monotonicity,[status(thm)],[402, 401])).
% 218.22/140.77 tff(15515,plain,
% 218.22/140.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB56, 1) <=> v123(constB56, 1))) <=> (v84(constB56, 1) <=> v123(constB56, 1))),
% 218.22/140.77 inference(transitivity,[status(thm)],[15514, 15513])).
% 218.22/140.77 tff(15516,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB56, 1) <=> v123(constB56, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 1) <=> v123(constB56, 1)))),
% 218.22/140.77 inference(monotonicity,[status(thm)],[15515])).
% 218.22/140.77 tff(15517,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB56, 1) <=> v123(constB56, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 1) <=> v123(constB56, 1)))),
% 218.22/140.77 inference(transitivity,[status(thm)],[15516, 15512])).
% 218.22/140.77 tff(15518,plain,
% 218.22/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB56, 1) <=> v123(constB56, 1)))),
% 218.22/140.77 inference(quant_inst,[status(thm)],[])).
% 218.22/140.77 tff(15519,plain,
% 218.22/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 1) <=> v123(constB56, 1))),
% 218.22/140.77 inference(modus_ponens,[status(thm)],[15518, 15517])).
% 218.22/140.77 tff(15520,plain,
% 218.22/140.77 (v84(constB56, 1) <=> v123(constB56, 1)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15519, 15511])).
% 218.22/140.77 tff(15521,assumption,(~v84(constB56, 1)), introduced(assumption)).
% 218.22/140.77 tff(15522,plain,
% 218.22/140.77 ((~(v84(constB56, 1) <=> v123(constB56, 1))) | v84(constB56, 1) | (~v123(constB56, 1))),
% 218.22/140.77 inference(tautology,[status(thm)],[])).
% 218.22/140.77 tff(15523,plain,
% 218.22/140.77 ((~(v84(constB56, 1) <=> v123(constB56, 1))) | (~v123(constB56, 1))),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15522, 15521])).
% 218.22/140.77 tff(15524,plain,
% 218.22/140.77 (~v123(constB56, 1)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15523, 15520])).
% 218.22/140.77 tff(15525,plain,
% 218.22/140.77 ((~(v123(constB56, 1) <=> v121(constB55, 1))) | v123(constB56, 1) | (~v121(constB55, 1))),
% 218.22/140.77 inference(tautology,[status(thm)],[])).
% 218.22/140.77 tff(15526,plain,
% 218.22/140.77 ((~(v123(constB56, 1) <=> v121(constB55, 1))) | (~v121(constB55, 1))),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15525, 15524])).
% 218.22/140.77 tff(15527,plain,
% 218.22/140.77 (~v121(constB55, 1)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15526, 15510])).
% 218.22/140.77 tff(15528,plain,
% 218.22/140.77 ((~(v121(constB55, 1) <=> v124(constB55, 1))) | v121(constB55, 1) | (~v124(constB55, 1))),
% 218.22/140.77 inference(tautology,[status(thm)],[])).
% 218.22/140.77 tff(15529,plain,
% 218.22/140.77 ((~(v121(constB55, 1) <=> v124(constB55, 1))) | (~v124(constB55, 1))),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15528, 15527])).
% 218.22/140.77 tff(15530,plain,
% 218.22/140.77 (~v124(constB55, 1)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15529, 15491])).
% 218.22/140.77 tff(15531,plain,
% 218.22/140.77 ((~(v124(constB55, 1) <=> b110(1))) | v124(constB55, 1) | (~b110(1))),
% 218.22/140.77 inference(tautology,[status(thm)],[])).
% 218.22/140.77 tff(15532,plain,
% 218.22/140.77 (~(v124(constB55, 1) <=> b110(1))),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15531, 1662, 15530])).
% 218.22/140.77 tff(15533,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 0) <=> v124(constB55, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 0) <=> v124(constB55, 0)))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15534,plain,
% 218.22/140.77 (($false | $false | (v121(constB55, 0) <=> v124(constB55, 0))) <=> (v121(constB55, 0) <=> v124(constB55, 0))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15535,plain,
% 218.22/140.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB55, 0) <=> v124(constB55, 0))) <=> ($false | $false | (v121(constB55, 0) <=> v124(constB55, 0)))),
% 218.22/140.77 inference(monotonicity,[status(thm)],[250, 249])).
% 218.22/140.77 tff(15536,plain,
% 218.22/140.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB55, 0) <=> v124(constB55, 0))) <=> (v121(constB55, 0) <=> v124(constB55, 0))),
% 218.22/140.77 inference(transitivity,[status(thm)],[15535, 15534])).
% 218.22/140.77 tff(15537,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB55, 0) <=> v124(constB55, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 0) <=> v124(constB55, 0)))),
% 218.22/140.77 inference(monotonicity,[status(thm)],[15536])).
% 218.22/140.77 tff(15538,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB55, 0) <=> v124(constB55, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 0) <=> v124(constB55, 0)))),
% 218.22/140.77 inference(transitivity,[status(thm)],[15537, 15533])).
% 218.22/140.77 tff(15539,plain,
% 218.22/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB55, 0) <=> v124(constB55, 0)))),
% 218.22/140.77 inference(quant_inst,[status(thm)],[])).
% 218.22/140.77 tff(15540,plain,
% 218.22/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 0) <=> v124(constB55, 0))),
% 218.22/140.77 inference(modus_ponens,[status(thm)],[15539, 15538])).
% 218.22/140.77 tff(15541,plain,
% 218.22/140.77 (v121(constB55, 0) <=> v124(constB55, 0)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15540, 15482])).
% 218.22/140.77 tff(15542,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 0) <=> v121(constB55, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 0) <=> v121(constB55, 0)))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15543,plain,
% 218.22/140.77 (($false | $false | (v123(constB56, 0) <=> v121(constB55, 0))) <=> (v123(constB56, 0) <=> v121(constB55, 0))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15544,plain,
% 218.22/140.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB56, 0) <=> v121(constB55, 0))) <=> ($false | $false | (v123(constB56, 0) <=> v121(constB55, 0)))),
% 218.22/140.77 inference(monotonicity,[status(thm)],[250, 249])).
% 218.22/140.77 tff(15545,plain,
% 218.22/140.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB56, 0) <=> v121(constB55, 0))) <=> (v123(constB56, 0) <=> v121(constB55, 0))),
% 218.22/140.77 inference(transitivity,[status(thm)],[15544, 15543])).
% 218.22/140.77 tff(15546,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB56, 0) <=> v121(constB55, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 0) <=> v121(constB55, 0)))),
% 218.22/140.77 inference(monotonicity,[status(thm)],[15545])).
% 218.22/140.77 tff(15547,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB56, 0) <=> v121(constB55, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 0) <=> v121(constB55, 0)))),
% 218.22/140.77 inference(transitivity,[status(thm)],[15546, 15542])).
% 218.22/140.77 tff(15548,plain,
% 218.22/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB56, 0) <=> v121(constB55, 0)))),
% 218.22/140.77 inference(quant_inst,[status(thm)],[])).
% 218.22/140.77 tff(15549,plain,
% 218.22/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 0) <=> v121(constB55, 0))),
% 218.22/140.77 inference(modus_ponens,[status(thm)],[15548, 15547])).
% 218.22/140.77 tff(15550,plain,
% 218.22/140.77 (v123(constB56, 0) <=> v121(constB55, 0)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15549, 15501])).
% 218.22/140.77 tff(15551,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 0) <=> v123(constB56, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 0) <=> v123(constB56, 0)))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15552,plain,
% 218.22/140.77 (($false | $false | (v84(constB56, 0) <=> v123(constB56, 0))) <=> (v84(constB56, 0) <=> v123(constB56, 0))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15553,plain,
% 218.22/140.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB56, 0) <=> v123(constB56, 0))) <=> ($false | $false | (v84(constB56, 0) <=> v123(constB56, 0)))),
% 218.22/140.77 inference(monotonicity,[status(thm)],[250, 249])).
% 218.22/140.77 tff(15554,plain,
% 218.22/140.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB56, 0) <=> v123(constB56, 0))) <=> (v84(constB56, 0) <=> v123(constB56, 0))),
% 218.22/140.77 inference(transitivity,[status(thm)],[15553, 15552])).
% 218.22/140.77 tff(15555,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB56, 0) <=> v123(constB56, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 0) <=> v123(constB56, 0)))),
% 218.22/140.77 inference(monotonicity,[status(thm)],[15554])).
% 218.22/140.77 tff(15556,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB56, 0) <=> v123(constB56, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 0) <=> v123(constB56, 0)))),
% 218.22/140.77 inference(transitivity,[status(thm)],[15555, 15551])).
% 218.22/140.77 tff(15557,plain,
% 218.22/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB56, 0) <=> v123(constB56, 0)))),
% 218.22/140.77 inference(quant_inst,[status(thm)],[])).
% 218.22/140.77 tff(15558,plain,
% 218.22/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 0) <=> v123(constB56, 0))),
% 218.22/140.77 inference(modus_ponens,[status(thm)],[15557, 15556])).
% 218.22/140.77 tff(15559,plain,
% 218.22/140.77 (v84(constB56, 0) <=> v123(constB56, 0)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15558, 15511])).
% 218.22/140.77 tff(15560,plain,
% 218.22/140.77 ((~(v84(constB56, 0) <=> v123(constB56, 0))) | v84(constB56, 0) | (~v123(constB56, 0))),
% 218.22/140.77 inference(tautology,[status(thm)],[])).
% 218.22/140.77 tff(15561,plain,
% 218.22/140.77 ((~(v84(constB56, 0) <=> v123(constB56, 0))) | (~v123(constB56, 0))),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15560, 15435])).
% 218.22/140.77 tff(15562,plain,
% 218.22/140.77 (~v123(constB56, 0)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15561, 15559])).
% 218.22/140.77 tff(15563,plain,
% 218.22/140.77 ((~(v123(constB56, 0) <=> v121(constB55, 0))) | v123(constB56, 0) | (~v121(constB55, 0))),
% 218.22/140.77 inference(tautology,[status(thm)],[])).
% 218.22/140.77 tff(15564,plain,
% 218.22/140.77 ((~(v123(constB56, 0) <=> v121(constB55, 0))) | (~v121(constB55, 0))),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15563, 15562])).
% 218.22/140.77 tff(15565,plain,
% 218.22/140.77 (~v121(constB55, 0)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15564, 15550])).
% 218.22/140.77 tff(15566,plain,
% 218.22/140.77 ((~(v121(constB55, 0) <=> v124(constB55, 0))) | v121(constB55, 0) | (~v124(constB55, 0))),
% 218.22/140.77 inference(tautology,[status(thm)],[])).
% 218.22/140.77 tff(15567,plain,
% 218.22/140.77 ((~(v121(constB55, 0) <=> v124(constB55, 0))) | (~v124(constB55, 0))),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15566, 15565])).
% 218.22/140.77 tff(15568,plain,
% 218.22/140.77 (~v124(constB55, 0)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15567, 15541])).
% 218.22/140.77 tff(15569,assumption,(~v124(constB55, 0)), introduced(assumption)).
% 218.22/140.77 tff(15570,plain,
% 218.22/140.77 ((~(v124(constB55, 0) <=> b101(0))) | v124(constB55, 0) | (~b101(0))),
% 218.22/140.77 inference(tautology,[status(thm)],[])).
% 218.22/140.77 tff(15571,plain,
% 218.22/140.77 (~(v124(constB55, 0) <=> b101(0))),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15570, 2042, 15569])).
% 218.22/140.77 tff(15572,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))), introduced(assumption)).
% 218.22/140.77 tff(15573,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))) | (v124(constB55, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))) | (v124(constB55, 0) <=> b101(0)))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15574,plain,
% 218.22/140.77 (($false | $false | (v124(constB55, 0) <=> b101(0))) <=> (v124(constB55, 0) <=> b101(0))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15575,plain,
% 218.22/140.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b101(0))) <=> ($false | $false | (v124(constB55, 0) <=> b101(0)))),
% 218.22/140.77 inference(monotonicity,[status(thm)],[250, 249])).
% 218.22/140.77 tff(15576,plain,
% 218.22/140.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b101(0))) <=> (v124(constB55, 0) <=> b101(0))),
% 218.22/140.77 inference(transitivity,[status(thm)],[15575, 15574])).
% 218.22/140.77 tff(15577,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))) | (v124(constB55, 0) <=> b101(0)))),
% 218.22/140.77 inference(monotonicity,[status(thm)],[15576])).
% 218.22/140.77 tff(15578,plain,
% 218.22/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))) | (v124(constB55, 0) <=> b101(0)))),
% 218.22/140.77 inference(transitivity,[status(thm)],[15577, 15573])).
% 218.22/140.77 tff(15579,plain,
% 218.22/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b101(0)))),
% 218.22/140.77 inference(quant_inst,[status(thm)],[])).
% 218.22/140.77 tff(15580,plain,
% 218.22/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))) | (v124(constB55, 0) <=> b101(0))),
% 218.22/140.77 inference(modus_ponens,[status(thm)],[15579, 15578])).
% 218.22/140.77 tff(15581,plain,
% 218.22/140.77 ($false),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15580, 15572, 15571])).
% 218.22/140.77 tff(15582,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))) | v124(constB55, 0)), inference(lemma,lemma(discharge,[]))).
% 218.22/140.77 tff(15583,plain,
% 218.22/140.77 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15582, 15568])).
% 218.22/140.77 tff(15584,plain,
% 218.22/140.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B))))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15585,plain,
% 218.22/140.77 (((~v117(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B))))),
% 218.22/140.77 inference(rewrite,[status(thm)],[])).
% 218.22/140.77 tff(15586,plain,
% 218.22/140.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))))),
% 218.22/140.77 inference(monotonicity,[status(thm)],[15585])).
% 218.22/140.77 tff(15587,plain,
% 218.22/140.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B))))),
% 218.22/140.77 inference(transitivity,[status(thm)],[15586, 15584])).
% 218.22/140.77 tff(15588,plain,
% 218.22/140.77 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.22/140.77 inference(quant_inst,[status(thm)],[])).
% 218.22/140.77 tff(15589,plain,
% 218.22/140.77 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))),
% 218.22/140.77 inference(modus_ponens,[status(thm)],[15588, 15587])).
% 218.22/140.77 tff(15590,plain,
% 218.22/140.77 ((~v117(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b101(B)))),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15589, 2090])).
% 218.22/140.77 tff(15591,plain,
% 218.22/140.77 (~v117(constB55)),
% 218.22/140.77 inference(unit_resolution,[status(thm)],[15590, 15583])).
% 218.22/140.77 tff(15592,plain,
% 218.22/140.77 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))))))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15593,plain,
% 218.23/140.77 ((v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 1)) | (~v84(constB55, 0))))) <=> (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15594,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 1)) | (~v84(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))))))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15593])).
% 218.23/140.77 tff(15595,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 1)) | (~v84(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))))))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15594, 15592])).
% 218.23/140.77 tff(15596,plain,
% 218.23/140.77 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 1)) | (~v84(constB55, 0)))))),
% 218.23/140.77 inference(quant_inst,[status(thm)],[])).
% 218.23/140.77 tff(15597,plain,
% 218.23/140.77 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))))),
% 218.23/140.77 inference(modus_ponens,[status(thm)],[15596, 15595])).
% 218.23/140.77 tff(15598,plain,
% 218.23/140.77 (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15597, 521])).
% 218.23/140.77 tff(15599,assumption,(~v124(constB55, 1)), introduced(assumption)).
% 218.23/140.77 tff(15600,plain,
% 218.23/140.77 ((~(v124(constB55, 1) <=> b010(1))) | v124(constB55, 1) | (~b010(1))),
% 218.23/140.77 inference(tautology,[status(thm)],[])).
% 218.23/140.77 tff(15601,plain,
% 218.23/140.77 (~(v124(constB55, 1) <=> b010(1))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15600, 2513, 15599])).
% 218.23/140.77 tff(15602,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))), introduced(assumption)).
% 218.23/140.77 tff(15603,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 1) <=> b010(1)))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15604,plain,
% 218.23/140.77 (($false | $false | (v124(constB55, 1) <=> b010(1))) <=> (v124(constB55, 1) <=> b010(1))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15605,plain,
% 218.23/140.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b010(1))) <=> ($false | $false | (v124(constB55, 1) <=> b010(1)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[402, 401])).
% 218.23/140.77 tff(15606,plain,
% 218.23/140.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b010(1))) <=> (v124(constB55, 1) <=> b010(1))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15605, 15604])).
% 218.23/140.77 tff(15607,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 1) <=> b010(1)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15606])).
% 218.23/140.77 tff(15608,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 1) <=> b010(1)))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15607, 15603])).
% 218.23/140.77 tff(15609,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b010(1)))),
% 218.23/140.77 inference(quant_inst,[status(thm)],[])).
% 218.23/140.77 tff(15610,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 1) <=> b010(1))),
% 218.23/140.77 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 218.23/140.77 tff(15611,plain,
% 218.23/140.77 ($false),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15610, 15602, 15601])).
% 218.23/140.77 tff(15612,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | v124(constB55, 1)), inference(lemma,lemma(discharge,[]))).
% 218.23/140.77 tff(15613,plain,
% 218.23/140.77 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15612, 15530])).
% 218.23/140.77 tff(15614,plain,
% 218.23/140.77 ((~(v124(constB55, 1) <=> b011(1))) | v124(constB55, 1) | (~b011(1))),
% 218.23/140.77 inference(tautology,[status(thm)],[])).
% 218.23/140.77 tff(15615,plain,
% 218.23/140.77 (~(v124(constB55, 1) <=> b011(1))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15614, 2593, 15599])).
% 218.23/140.77 tff(15616,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))), introduced(assumption)).
% 218.23/140.77 tff(15617,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))) | (v124(constB55, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))) | (v124(constB55, 1) <=> b011(1)))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15618,plain,
% 218.23/140.77 (($false | $false | (v124(constB55, 1) <=> b011(1))) <=> (v124(constB55, 1) <=> b011(1))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15619,plain,
% 218.23/140.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b011(1))) <=> ($false | $false | (v124(constB55, 1) <=> b011(1)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[402, 401])).
% 218.23/140.77 tff(15620,plain,
% 218.23/140.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b011(1))) <=> (v124(constB55, 1) <=> b011(1))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15619, 15618])).
% 218.23/140.77 tff(15621,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))) | (v124(constB55, 1) <=> b011(1)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15620])).
% 218.23/140.77 tff(15622,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))) | (v124(constB55, 1) <=> b011(1)))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15621, 15617])).
% 218.23/140.77 tff(15623,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b011(1)))),
% 218.23/140.77 inference(quant_inst,[status(thm)],[])).
% 218.23/140.77 tff(15624,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))) | (v124(constB55, 1) <=> b011(1))),
% 218.23/140.77 inference(modus_ponens,[status(thm)],[15623, 15622])).
% 218.23/140.77 tff(15625,plain,
% 218.23/140.77 ($false),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15624, 15616, 15615])).
% 218.23/140.77 tff(15626,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))) | v124(constB55, 1)), inference(lemma,lemma(discharge,[]))).
% 218.23/140.77 tff(15627,plain,
% 218.23/140.77 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15626, 15530])).
% 218.23/140.77 tff(15628,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 2) <=> v124(constB55, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 2) <=> v124(constB55, 2)))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15629,plain,
% 218.23/140.77 (($false | $false | (v121(constB55, 2) <=> v124(constB55, 2))) <=> (v121(constB55, 2) <=> v124(constB55, 2))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15630,plain,
% 218.23/140.77 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB55, 2) <=> v124(constB55, 2))) <=> ($false | $false | (v121(constB55, 2) <=> v124(constB55, 2)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[534, 533])).
% 218.23/140.77 tff(15631,plain,
% 218.23/140.77 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB55, 2) <=> v124(constB55, 2))) <=> (v121(constB55, 2) <=> v124(constB55, 2))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15630, 15629])).
% 218.23/140.77 tff(15632,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB55, 2) <=> v124(constB55, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 2) <=> v124(constB55, 2)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15631])).
% 218.23/140.77 tff(15633,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB55, 2) <=> v124(constB55, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 2) <=> v124(constB55, 2)))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15632, 15628])).
% 218.23/140.77 tff(15634,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB55, 2) <=> v124(constB55, 2)))),
% 218.23/140.77 inference(quant_inst,[status(thm)],[])).
% 218.23/140.77 tff(15635,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB55, B) <=> v124(constB55, B)))) | (v121(constB55, 2) <=> v124(constB55, 2))),
% 218.23/140.77 inference(modus_ponens,[status(thm)],[15634, 15633])).
% 218.23/140.77 tff(15636,plain,
% 218.23/140.77 (v121(constB55, 2) <=> v124(constB55, 2)),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15635, 15482])).
% 218.23/140.77 tff(15637,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 2) <=> v121(constB55, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 2) <=> v121(constB55, 2)))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15638,plain,
% 218.23/140.77 (($false | $false | (v123(constB56, 2) <=> v121(constB55, 2))) <=> (v123(constB56, 2) <=> v121(constB55, 2))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15639,plain,
% 218.23/140.77 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB56, 2) <=> v121(constB55, 2))) <=> ($false | $false | (v123(constB56, 2) <=> v121(constB55, 2)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[534, 533])).
% 218.23/140.77 tff(15640,plain,
% 218.23/140.77 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB56, 2) <=> v121(constB55, 2))) <=> (v123(constB56, 2) <=> v121(constB55, 2))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15639, 15638])).
% 218.23/140.77 tff(15641,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB56, 2) <=> v121(constB55, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 2) <=> v121(constB55, 2)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15640])).
% 218.23/140.77 tff(15642,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB56, 2) <=> v121(constB55, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 2) <=> v121(constB55, 2)))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15641, 15637])).
% 218.23/140.77 tff(15643,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB56, 2) <=> v121(constB55, 2)))),
% 218.23/140.77 inference(quant_inst,[status(thm)],[])).
% 218.23/140.77 tff(15644,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB56, B) <=> v121(constB55, B)))) | (v123(constB56, 2) <=> v121(constB55, 2))),
% 218.23/140.77 inference(modus_ponens,[status(thm)],[15643, 15642])).
% 218.23/140.77 tff(15645,plain,
% 218.23/140.77 (v123(constB56, 2) <=> v121(constB55, 2)),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15644, 15501])).
% 218.23/140.77 tff(15646,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 2) <=> v123(constB56, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 2) <=> v123(constB56, 2)))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15647,plain,
% 218.23/140.77 (($false | $false | (v84(constB56, 2) <=> v123(constB56, 2))) <=> (v84(constB56, 2) <=> v123(constB56, 2))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15648,plain,
% 218.23/140.77 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB56, 2) <=> v123(constB56, 2))) <=> ($false | $false | (v84(constB56, 2) <=> v123(constB56, 2)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[534, 533])).
% 218.23/140.77 tff(15649,plain,
% 218.23/140.77 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB56, 2) <=> v123(constB56, 2))) <=> (v84(constB56, 2) <=> v123(constB56, 2))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15648, 15647])).
% 218.23/140.77 tff(15650,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB56, 2) <=> v123(constB56, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 2) <=> v123(constB56, 2)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15649])).
% 218.23/140.77 tff(15651,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB56, 2) <=> v123(constB56, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 2) <=> v123(constB56, 2)))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15650, 15646])).
% 218.23/140.77 tff(15652,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB56, 2) <=> v123(constB56, 2)))),
% 218.23/140.77 inference(quant_inst,[status(thm)],[])).
% 218.23/140.77 tff(15653,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | (v84(constB56, 2) <=> v123(constB56, 2))),
% 218.23/140.77 inference(modus_ponens,[status(thm)],[15652, 15651])).
% 218.23/140.77 tff(15654,plain,
% 218.23/140.77 (v84(constB56, 2) <=> v123(constB56, 2)),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15653, 15511])).
% 218.23/140.77 tff(15655,plain,
% 218.23/140.77 ((~(v84(constB56, 2) <=> v123(constB56, 2))) | v84(constB56, 2) | (~v123(constB56, 2))),
% 218.23/140.77 inference(tautology,[status(thm)],[])).
% 218.23/140.77 tff(15656,plain,
% 218.23/140.77 ((~(v84(constB56, 2) <=> v123(constB56, 2))) | (~v123(constB56, 2))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15655, 15445])).
% 218.23/140.77 tff(15657,plain,
% 218.23/140.77 (~v123(constB56, 2)),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15656, 15654])).
% 218.23/140.77 tff(15658,plain,
% 218.23/140.77 ((~(v123(constB56, 2) <=> v121(constB55, 2))) | v123(constB56, 2) | (~v121(constB55, 2))),
% 218.23/140.77 inference(tautology,[status(thm)],[])).
% 218.23/140.77 tff(15659,plain,
% 218.23/140.77 ((~(v123(constB56, 2) <=> v121(constB55, 2))) | (~v121(constB55, 2))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15658, 15657])).
% 218.23/140.77 tff(15660,plain,
% 218.23/140.77 (~v121(constB55, 2)),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15659, 15645])).
% 218.23/140.77 tff(15661,plain,
% 218.23/140.77 ((~(v121(constB55, 2) <=> v124(constB55, 2))) | v121(constB55, 2) | (~v124(constB55, 2))),
% 218.23/140.77 inference(tautology,[status(thm)],[])).
% 218.23/140.77 tff(15662,plain,
% 218.23/140.77 ((~(v121(constB55, 2) <=> v124(constB55, 2))) | (~v124(constB55, 2))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15661, 15660])).
% 218.23/140.77 tff(15663,plain,
% 218.23/140.77 (~v124(constB55, 2)),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15662, 15636])).
% 218.23/140.77 tff(15664,assumption,(~v124(constB55, 2)), introduced(assumption)).
% 218.23/140.77 tff(15665,plain,
% 218.23/140.77 ((~(v124(constB55, 2) <=> b100(2))) | v124(constB55, 2) | (~b100(2))),
% 218.23/140.77 inference(tautology,[status(thm)],[])).
% 218.23/140.77 tff(15666,plain,
% 218.23/140.77 (~(v124(constB55, 2) <=> b100(2))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15665, 2250, 15664])).
% 218.23/140.77 tff(15667,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))), introduced(assumption)).
% 218.23/140.77 tff(15668,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))) | (v124(constB55, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))) | (v124(constB55, 2) <=> b100(2)))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15669,plain,
% 218.23/140.77 (($false | $false | (v124(constB55, 2) <=> b100(2))) <=> (v124(constB55, 2) <=> b100(2))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15670,plain,
% 218.23/140.77 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB55, 2) <=> b100(2))) <=> ($false | $false | (v124(constB55, 2) <=> b100(2)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[534, 533])).
% 218.23/140.77 tff(15671,plain,
% 218.23/140.77 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB55, 2) <=> b100(2))) <=> (v124(constB55, 2) <=> b100(2))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15670, 15669])).
% 218.23/140.77 tff(15672,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB55, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))) | (v124(constB55, 2) <=> b100(2)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15671])).
% 218.23/140.77 tff(15673,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB55, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))) | (v124(constB55, 2) <=> b100(2)))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15672, 15668])).
% 218.23/140.77 tff(15674,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB55, 2) <=> b100(2)))),
% 218.23/140.77 inference(quant_inst,[status(thm)],[])).
% 218.23/140.77 tff(15675,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))) | (v124(constB55, 2) <=> b100(2))),
% 218.23/140.77 inference(modus_ponens,[status(thm)],[15674, 15673])).
% 218.23/140.77 tff(15676,plain,
% 218.23/140.77 ($false),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15675, 15667, 15666])).
% 218.23/140.77 tff(15677,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))) | v124(constB55, 2)), inference(lemma,lemma(discharge,[]))).
% 218.23/140.77 tff(15678,plain,
% 218.23/140.77 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15677, 15663])).
% 218.23/140.77 tff(15679,plain,
% 218.23/140.77 ((~(v124(constB55, 0) <=> b001(0))) | v124(constB55, 0) | (~b001(0))),
% 218.23/140.77 inference(tautology,[status(thm)],[])).
% 218.23/140.77 tff(15680,plain,
% 218.23/140.77 (~(v124(constB55, 0) <=> b001(0))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15679, 1940, 15569])).
% 218.23/140.77 tff(15681,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))), introduced(assumption)).
% 218.23/140.77 tff(15682,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))) | (v124(constB55, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))) | (v124(constB55, 0) <=> b001(0)))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15683,plain,
% 218.23/140.77 (($false | $false | (v124(constB55, 0) <=> b001(0))) <=> (v124(constB55, 0) <=> b001(0))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15684,plain,
% 218.23/140.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b001(0))) <=> ($false | $false | (v124(constB55, 0) <=> b001(0)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[250, 249])).
% 218.23/140.77 tff(15685,plain,
% 218.23/140.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b001(0))) <=> (v124(constB55, 0) <=> b001(0))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15684, 15683])).
% 218.23/140.77 tff(15686,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))) | (v124(constB55, 0) <=> b001(0)))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15685])).
% 218.23/140.77 tff(15687,plain,
% 218.23/140.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))) | (v124(constB55, 0) <=> b001(0)))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15686, 15682])).
% 218.23/140.77 tff(15688,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b001(0)))),
% 218.23/140.77 inference(quant_inst,[status(thm)],[])).
% 218.23/140.77 tff(15689,plain,
% 218.23/140.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))) | (v124(constB55, 0) <=> b001(0))),
% 218.23/140.77 inference(modus_ponens,[status(thm)],[15688, 15687])).
% 218.23/140.77 tff(15690,plain,
% 218.23/140.77 ($false),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15689, 15681, 15680])).
% 218.23/140.77 tff(15691,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))) | v124(constB55, 0)), inference(lemma,lemma(discharge,[]))).
% 218.23/140.77 tff(15692,plain,
% 218.23/140.77 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15691, 15568])).
% 218.23/140.77 tff(15693,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))), introduced(assumption)).
% 218.23/140.77 tff(15694,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B))))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15695,plain,
% 218.23/140.77 (((~v116(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B))))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15696,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15695])).
% 218.23/140.77 tff(15697,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B))))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15696, 15694])).
% 218.23/140.77 tff(15698,plain,
% 218.23/140.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.77 inference(quant_inst,[status(thm)],[])).
% 218.23/140.77 tff(15699,plain,
% 218.23/140.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B)))),
% 218.23/140.77 inference(modus_ponens,[status(thm)],[15698, 15697])).
% 218.23/140.77 tff(15700,plain,
% 218.23/140.77 (~v116(constB55)),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15699, 2230, 15693])).
% 218.23/140.77 tff(15701,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))), introduced(assumption)).
% 218.23/140.77 tff(15702,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B))))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15703,plain,
% 218.23/140.77 (((~v115(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B))))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15704,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15703])).
% 218.23/140.77 tff(15705,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B))))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15704, 15702])).
% 218.23/140.77 tff(15706,plain,
% 218.23/140.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.77 inference(quant_inst,[status(thm)],[])).
% 218.23/140.77 tff(15707,plain,
% 218.23/140.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B)))),
% 218.23/140.77 inference(modus_ponens,[status(thm)],[15706, 15705])).
% 218.23/140.77 tff(15708,plain,
% 218.23/140.77 (~v115(constB55)),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15707, 2144, 15701])).
% 218.23/140.77 tff(15709,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))), introduced(assumption)).
% 218.23/140.77 tff(15710,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15711,plain,
% 218.23/140.77 (((~v113(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15712,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15711])).
% 218.23/140.77 tff(15713,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))))),
% 218.23/140.77 inference(transitivity,[status(thm)],[15712, 15710])).
% 218.23/140.77 tff(15714,plain,
% 218.23/140.77 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.77 inference(quant_inst,[status(thm)],[])).
% 218.23/140.77 tff(15715,plain,
% 218.23/140.77 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))),
% 218.23/140.77 inference(modus_ponens,[status(thm)],[15714, 15713])).
% 218.23/140.77 tff(15716,plain,
% 218.23/140.77 (~v113(constB55)),
% 218.23/140.77 inference(unit_resolution,[status(thm)],[15715, 2117, 15709])).
% 218.23/140.77 tff(15717,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))), introduced(assumption)).
% 218.23/140.77 tff(15718,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B))))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15719,plain,
% 218.23/140.77 (((~v114(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B))))),
% 218.23/140.77 inference(rewrite,[status(thm)],[])).
% 218.23/140.77 tff(15720,plain,
% 218.23/140.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))))),
% 218.23/140.77 inference(monotonicity,[status(thm)],[15719])).
% 218.23/140.78 tff(15721,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B))))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15720, 15718])).
% 218.23/140.78 tff(15722,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15723,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15722, 15721])).
% 218.23/140.78 tff(15724,plain,
% 218.23/140.78 (~v114(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15723, 2418, 15717])).
% 218.23/140.78 tff(15725,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15726,plain,
% 218.23/140.78 (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2))))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15725, 394])).
% 218.23/140.78 tff(15727,assumption,(~v84(constB55, 2)), introduced(assumption)).
% 218.23/140.78 tff(15728,plain,
% 218.23/140.78 ((v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2))) | v84(constB55, 2)),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15729,plain,
% 218.23/140.78 (v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15728, 15727])).
% 218.23/140.78 tff(15730,plain,
% 218.23/140.78 ((~(v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))))) | (~v118(constB55)) | (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2))))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15731,plain,
% 218.23/140.78 ((~(v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))))) | (~v118(constB55))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15730, 15729])).
% 218.23/140.78 tff(15732,plain,
% 218.23/140.78 (~v118(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15731, 15726])).
% 218.23/140.78 tff(15733,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15734,plain,
% 218.23/140.78 ((v117(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | (~v84(constB55, 2))))) <=> (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15735,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | (~v84(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[15734])).
% 218.23/140.78 tff(15736,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | (~v84(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15735, 15733])).
% 218.23/140.78 tff(15737,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | (~v84(constB55, 2)))))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15738,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 218.23/140.78 tff(15739,plain,
% 218.23/140.78 (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15738, 656])).
% 218.23/140.78 tff(15740,plain,
% 218.23/140.78 ((v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))) | v84(constB55, 2)),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15741,plain,
% 218.23/140.78 (v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15740, 15727])).
% 218.23/140.78 tff(15742,plain,
% 218.23/140.78 ((~(v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))) | (~v117(constB55)) | (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15743,plain,
% 218.23/140.78 ((~(v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))) | (~v117(constB55))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15742, 15741])).
% 218.23/140.78 tff(15744,plain,
% 218.23/140.78 (~v117(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15743, 15739])).
% 218.23/140.78 tff(15745,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB55) | v114(constB55) | v118(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB55) | v114(constB55) | v118(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15746,plain,
% 218.23/140.78 ((v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))) <=> (v113(constB55) | v114(constB55) | v118(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15747,plain,
% 218.23/140.78 (^[B: $int] : rewrite(((v124(constB55, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))))),
% 218.23/140.78 inference(bind,[status(th)],[])).
% 218.23/140.78 tff(15748,plain,
% 218.23/140.78 (![B: $int] : ((v124(constB55, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))),
% 218.23/140.78 inference(quant_intro,[status(thm)],[15747])).
% 218.23/140.78 tff(15749,plain,
% 218.23/140.78 ((v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | ![B: $int] : ((v124(constB55, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[15748])).
% 218.23/140.78 tff(15750,plain,
% 218.23/140.78 ((v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | ![B: $int] : ((v124(constB55, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v113(constB55) | v114(constB55) | v118(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15749, 15746])).
% 218.23/140.78 tff(15751,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | ![B: $int] : ((v124(constB55, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB55) | v114(constB55) | v118(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[15750])).
% 218.23/140.78 tff(15752,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | ![B: $int] : ((v124(constB55, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB55) | v114(constB55) | v118(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15751, 15745])).
% 218.23/140.78 tff(15753,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | ![B: $int] : ((v124(constB55, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15754,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB55) | v114(constB55) | v118(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B)))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15753, 15752])).
% 218.23/140.78 tff(15755,plain,
% 218.23/140.78 (v113(constB55) | v114(constB55) | v115(constB55) | v116(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15754, 1807, 15709, 15744, 15732])).
% 218.23/140.78 tff(15756,plain,
% 218.23/140.78 ($false),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15755, 15724, 15716, 15708, 15700])).
% 218.23/140.78 tff(15757,plain,(v84(constB55, 2) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b001(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b100(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b011(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.23/140.78 tff(15758,plain,
% 218.23/140.78 (v84(constB55, 2)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15757, 15692, 15678, 15627, 15613])).
% 218.23/140.78 tff(15759,plain,
% 218.23/140.78 ((v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))) | (~v84(constB55, 2))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15760,plain,
% 218.23/140.78 (v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15759, 15758])).
% 218.23/140.78 tff(15761,plain,
% 218.23/140.78 ((~(v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))))) | (~v116(constB55)) | (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15762,plain,
% 218.23/140.78 ((~(v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))))) | (~v116(constB55))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15761, 15760])).
% 218.23/140.78 tff(15763,plain,
% 218.23/140.78 (~v116(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15762, 15598])).
% 218.23/140.78 tff(15764,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15765,plain,
% 218.23/140.78 ((v115(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 2) | (~v84(constB55, 1))))) <=> (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15766,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 2) | (~v84(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[15765])).
% 218.23/140.78 tff(15767,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 2) | (~v84(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15766, 15764])).
% 218.23/140.78 tff(15768,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 2) | (~v84(constB55, 1)))))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15769,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 218.23/140.78 tff(15770,plain,
% 218.23/140.78 (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15769, 622])).
% 218.23/140.78 tff(15771,plain,
% 218.23/140.78 ((v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))) | (~v84(constB55, 2))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15772,plain,
% 218.23/140.78 (v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15771, 15758])).
% 218.23/140.78 tff(15773,plain,
% 218.23/140.78 ((~(v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))) | (~v115(constB55)) | (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15774,plain,
% 218.23/140.78 ((~(v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))) | (~v115(constB55))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15773, 15772])).
% 218.23/140.78 tff(15775,plain,
% 218.23/140.78 (~v115(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15774, 15770])).
% 218.23/140.78 tff(15776,plain,
% 218.23/140.78 ((v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)) | (~v84(constB55, 2))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15777,plain,
% 218.23/140.78 (v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15776, 15758])).
% 218.23/140.78 tff(15778,plain,
% 218.23/140.78 ((~(v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))))) | (~v113(constB55)) | (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15779,plain,
% 218.23/140.78 ((~(v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))))) | (~v113(constB55))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15778, 15777])).
% 218.23/140.78 tff(15780,plain,
% 218.23/140.78 (~v113(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15779, 15434])).
% 218.23/140.78 tff(15781,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0)))))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15782,plain,
% 218.23/140.78 (v114(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15781, 298])).
% 218.23/140.78 tff(15783,plain,
% 218.23/140.78 ((v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))) | (~v84(constB55, 2))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15784,plain,
% 218.23/140.78 (v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15783, 15758])).
% 218.23/140.78 tff(15785,plain,
% 218.23/140.78 ((~(v114(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0)))))) | (~v114(constB55)) | (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15786,plain,
% 218.23/140.78 ((~(v114(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0)))))) | (~v114(constB55))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15785, 15784])).
% 218.23/140.78 tff(15787,plain,
% 218.23/140.78 (~v114(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15786, 15782])).
% 218.23/140.78 tff(15788,plain,
% 218.23/140.78 (v118(constB55) | v117(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15754, 1807, 15787, 15692, 15780, 15775, 15763])).
% 218.23/140.78 tff(15789,plain,
% 218.23/140.78 (v118(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15788, 15591])).
% 218.23/140.78 tff(15790,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15791,plain,
% 218.23/140.78 (((~v118(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15792,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[15791])).
% 218.23/140.78 tff(15793,plain,
% 218.23/140.78 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B))))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15792, 15790])).
% 218.23/140.78 tff(15794,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB55)) | ![B: $int] : ((v124(constB55, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15795,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15794, 15793])).
% 218.23/140.78 tff(15796,plain,
% 218.23/140.78 ((~v118(constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15795, 1977])).
% 218.23/140.78 tff(15797,plain,
% 218.23/140.78 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15796, 15789])).
% 218.23/140.78 tff(15798,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))) | (v124(constB55, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))) | (v124(constB55, 1) <=> b110(1)))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15799,plain,
% 218.23/140.78 (($false | $false | (v124(constB55, 1) <=> b110(1))) <=> (v124(constB55, 1) <=> b110(1))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15800,plain,
% 218.23/140.78 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b110(1))) <=> ($false | $false | (v124(constB55, 1) <=> b110(1)))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[402, 401])).
% 218.23/140.78 tff(15801,plain,
% 218.23/140.78 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b110(1))) <=> (v124(constB55, 1) <=> b110(1))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15800, 15799])).
% 218.23/140.78 tff(15802,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))) | (v124(constB55, 1) <=> b110(1)))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[15801])).
% 218.23/140.78 tff(15803,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))) | (v124(constB55, 1) <=> b110(1)))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15802, 15798])).
% 218.23/140.78 tff(15804,plain,
% 218.23/140.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB55, 1) <=> b110(1)))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15805,plain,
% 218.23/140.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b110(B)))) | (v124(constB55, 1) <=> b110(1))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15804, 15803])).
% 218.23/140.78 tff(15806,plain,
% 218.23/140.78 ($false),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15805, 15797, 15532])).
% 218.23/140.78 tff(15807,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))) | v84(constB56, 2) | v84(constB56, 1) | v84(constB56, 0)), inference(lemma,lemma(discharge,[]))).
% 218.23/140.78 tff(15808,plain,
% 218.23/140.78 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15807, 15445, 15468, 15435])).
% 218.23/140.78 tff(15809,plain,
% 218.23/140.78 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15810,plain,
% 218.23/140.78 (((~v94(constB56)) | ![B: $int] : ((v84(constB56, B) <=> v123(constB56, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15811,plain,
% 218.23/140.78 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB56)) | ![B: $int] : ((v84(constB56, B) <=> v123(constB56, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[15810])).
% 218.23/140.78 tff(15812,plain,
% 218.23/140.78 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB56)) | ![B: $int] : ((v84(constB56, B) <=> v123(constB56, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B))))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15811, 15809])).
% 218.23/140.78 tff(15813,plain,
% 218.23/140.78 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB56)) | ![B: $int] : ((v84(constB56, B) <=> v123(constB56, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15814,plain,
% 218.23/140.78 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15813, 15812])).
% 218.23/140.78 tff(15815,plain,
% 218.23/140.78 ((~v94(constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15814, 1491])).
% 218.23/140.78 tff(15816,plain,
% 218.23/140.78 (~v94(constB56)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15815, 15808])).
% 218.23/140.78 tff(15817,plain,
% 218.23/140.78 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB56) | (~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB56) | (~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15818,plain,
% 218.23/140.78 ((v94(constB56) | (~nextState(constB55, constB56)) | ![B: $int] : ((v84(constB56, B) <=> v84(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB56) | (~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15819,plain,
% 218.23/140.78 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB56) | (~nextState(constB55, constB56)) | ![B: $int] : ((v84(constB56, B) <=> v84(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB56) | (~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[15818])).
% 218.23/140.78 tff(15820,plain,
% 218.23/140.78 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB56) | (~nextState(constB55, constB56)) | ![B: $int] : ((v84(constB56, B) <=> v84(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB56) | (~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B))))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15819, 15817])).
% 218.23/140.78 tff(15821,plain,
% 218.23/140.78 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB56) | (~nextState(constB55, constB56)) | ![B: $int] : ((v84(constB56, B) <=> v84(constB55, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15822,plain,
% 218.23/140.78 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB56) | (~nextState(constB55, constB56)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15821, 15820])).
% 218.23/140.78 tff(15823,plain,
% 218.23/140.78 (v94(constB56) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15822, 15494, 235])).
% 218.23/140.78 tff(15824,plain,
% 218.23/140.78 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15823, 15816])).
% 218.23/140.78 tff(15825,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 0) <=> v84(constB55, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 0) <=> v84(constB55, 0)))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15826,plain,
% 218.23/140.78 (($false | $false | (v84(constB56, 0) <=> v84(constB55, 0))) <=> (v84(constB56, 0) <=> v84(constB55, 0))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15827,plain,
% 218.23/140.78 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB56, 0) <=> v84(constB55, 0))) <=> ($false | $false | (v84(constB56, 0) <=> v84(constB55, 0)))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[250, 249])).
% 218.23/140.78 tff(15828,plain,
% 218.23/140.78 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB56, 0) <=> v84(constB55, 0))) <=> (v84(constB56, 0) <=> v84(constB55, 0))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15827, 15826])).
% 218.23/140.78 tff(15829,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB56, 0) <=> v84(constB55, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 0) <=> v84(constB55, 0)))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[15828])).
% 218.23/140.78 tff(15830,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB56, 0) <=> v84(constB55, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 0) <=> v84(constB55, 0)))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15829, 15825])).
% 218.23/140.78 tff(15831,plain,
% 218.23/140.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB56, 0) <=> v84(constB55, 0)))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15832,plain,
% 218.23/140.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 0) <=> v84(constB55, 0))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15831, 15830])).
% 218.23/140.78 tff(15833,plain,
% 218.23/140.78 (v84(constB56, 0) <=> v84(constB55, 0)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15832, 15824])).
% 218.23/140.78 tff(15834,plain,
% 218.23/140.78 ((~(v84(constB56, 0) <=> v84(constB55, 0))) | v84(constB56, 0) | (~v84(constB55, 0))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15835,plain,
% 218.23/140.78 ((~(v84(constB56, 0) <=> v84(constB55, 0))) | (~v84(constB55, 0))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15834, 15435])).
% 218.23/140.78 tff(15836,plain,
% 218.23/140.78 (~v84(constB55, 0)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15835, 15833])).
% 218.23/140.78 tff(15837,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 1) <=> v84(constB55, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 1) <=> v84(constB55, 1)))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15838,plain,
% 218.23/140.78 (($false | $false | (v84(constB56, 1) <=> v84(constB55, 1))) <=> (v84(constB56, 1) <=> v84(constB55, 1))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15839,plain,
% 218.23/140.78 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB56, 1) <=> v84(constB55, 1))) <=> ($false | $false | (v84(constB56, 1) <=> v84(constB55, 1)))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[402, 401])).
% 218.23/140.78 tff(15840,plain,
% 218.23/140.78 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB56, 1) <=> v84(constB55, 1))) <=> (v84(constB56, 1) <=> v84(constB55, 1))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15839, 15838])).
% 218.23/140.78 tff(15841,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB56, 1) <=> v84(constB55, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 1) <=> v84(constB55, 1)))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[15840])).
% 218.23/140.78 tff(15842,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB56, 1) <=> v84(constB55, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 1) <=> v84(constB55, 1)))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15841, 15837])).
% 218.23/140.78 tff(15843,plain,
% 218.23/140.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB56, 1) <=> v84(constB55, 1)))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15844,plain,
% 218.23/140.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 1) <=> v84(constB55, 1))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15843, 15842])).
% 218.23/140.78 tff(15845,plain,
% 218.23/140.78 (v84(constB56, 1) <=> v84(constB55, 1)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15844, 15824])).
% 218.23/140.78 tff(15846,plain,
% 218.23/140.78 ((~(v84(constB56, 1) <=> v84(constB55, 1))) | v84(constB56, 1) | (~v84(constB55, 1))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15847,plain,
% 218.23/140.78 ((~(v84(constB56, 1) <=> v84(constB55, 1))) | (~v84(constB55, 1))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15846, 15468])).
% 218.23/140.78 tff(15848,plain,
% 218.23/140.78 (~v84(constB55, 1)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15847, 15845])).
% 218.23/140.78 tff(15849,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 2) <=> v84(constB55, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 2) <=> v84(constB55, 2)))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15850,plain,
% 218.23/140.78 (($false | $false | (v84(constB56, 2) <=> v84(constB55, 2))) <=> (v84(constB56, 2) <=> v84(constB55, 2))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15851,plain,
% 218.23/140.78 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB56, 2) <=> v84(constB55, 2))) <=> ($false | $false | (v84(constB56, 2) <=> v84(constB55, 2)))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[534, 533])).
% 218.23/140.78 tff(15852,plain,
% 218.23/140.78 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB56, 2) <=> v84(constB55, 2))) <=> (v84(constB56, 2) <=> v84(constB55, 2))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15851, 15850])).
% 218.23/140.78 tff(15853,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB56, 2) <=> v84(constB55, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 2) <=> v84(constB55, 2)))),
% 218.23/140.78 inference(monotonicity,[status(thm)],[15852])).
% 218.23/140.78 tff(15854,plain,
% 218.23/140.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB56, 2) <=> v84(constB55, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 2) <=> v84(constB55, 2)))),
% 218.23/140.78 inference(transitivity,[status(thm)],[15853, 15849])).
% 218.23/140.78 tff(15855,plain,
% 218.23/140.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB56, 2) <=> v84(constB55, 2)))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15856,plain,
% 218.23/140.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (v84(constB56, 2) <=> v84(constB55, 2))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15855, 15854])).
% 218.23/140.78 tff(15857,plain,
% 218.23/140.78 (v84(constB56, 2) <=> v84(constB55, 2)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15856, 15824])).
% 218.23/140.78 tff(15858,plain,
% 218.23/140.78 ((~(v84(constB56, 2) <=> v84(constB55, 2))) | v84(constB56, 2) | (~v84(constB55, 2))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15859,plain,
% 218.23/140.78 ((~(v84(constB56, 2) <=> v84(constB55, 2))) | (~v84(constB55, 2))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15858, 15445])).
% 218.23/140.78 tff(15860,plain,
% 218.23/140.78 (~v84(constB55, 2)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15859, 15857])).
% 218.23/140.78 tff(15861,plain,
% 218.23/140.78 ((~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))) | v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15862,plain,
% 218.23/140.78 (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15861, 15860, 15848, 15836])).
% 218.23/140.78 tff(15863,plain,
% 218.23/140.78 ((~(v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))))) | v113(constB55) | (v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15864,plain,
% 218.23/140.78 ((~(v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))))) | v113(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15863, 15862])).
% 218.23/140.78 tff(15865,plain,
% 218.23/140.78 (v113(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15864, 15434])).
% 218.23/140.78 tff(15866,plain,
% 218.23/140.78 ((v113(constB55) | v114(constB55)) | (~v113(constB55))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15867,plain,
% 218.23/140.78 (v113(constB55) | v114(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15866, 15865])).
% 218.23/140.78 tff(15868,plain,
% 218.23/140.78 ((~(v112(constB55) <=> (v113(constB55) | v114(constB55)))) | v112(constB55) | (~(v113(constB55) | v114(constB55)))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15869,plain,
% 218.23/140.78 ((~(v112(constB55) <=> (v113(constB55) | v114(constB55)))) | v112(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15868, 15867])).
% 218.23/140.78 tff(15870,plain,
% 218.23/140.78 (v112(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15869, 15432])).
% 218.23/140.78 tff(15871,plain,
% 218.23/140.78 ((v112(constB55) | v115(constB55)) | (~v112(constB55))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15872,plain,
% 218.23/140.78 (v112(constB55) | v115(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15871, 15870])).
% 218.23/140.78 tff(15873,plain,
% 218.23/140.78 ((~(v111(constB55) <=> (v112(constB55) | v115(constB55)))) | v111(constB55) | (~(v112(constB55) | v115(constB55)))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15874,plain,
% 218.23/140.78 (v111(constB55)),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15873, 15872, 15430])).
% 218.23/140.78 tff(15875,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB55) <=> (v111(constB55) | v116(constB55)))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15876,plain,
% 218.23/140.78 (v110(constB55) <=> (v111(constB55) | v116(constB55))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15875, 265])).
% 218.23/140.78 tff(15877,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB55) <=> (v110(constB55) | v117(constB55)))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15878,plain,
% 218.23/140.78 (v109(constB55) <=> (v110(constB55) | v117(constB55))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15877, 456])).
% 218.23/140.78 tff(15879,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB55) <=> (v109(constB55) | v118(constB55)))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15880,plain,
% 218.23/140.78 (v108(constB55) <=> (v109(constB55) | v118(constB55))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15879, 428])).
% 218.23/140.78 tff(15881,plain,
% 218.23/140.78 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB55) <=> (v108(constB55) | v119(constB55)))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15882,plain,
% 218.23/140.78 (v107(constB55) <=> (v108(constB55) | v119(constB55))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15881, 187])).
% 218.23/140.78 tff(15883,plain,
% 218.23/140.78 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56))))))),
% 218.23/140.78 inference(rewrite,[status(thm)],[])).
% 218.23/140.78 tff(15884,plain,
% 218.23/140.78 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56))))))),
% 218.23/140.78 inference(quant_inst,[status(thm)],[])).
% 218.23/140.78 tff(15885,plain,
% 218.23/140.78 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56)))))),
% 218.23/140.78 inference(modus_ponens,[status(thm)],[15884, 15883])).
% 218.23/140.78 tff(15886,plain,
% 218.23/140.78 (v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56))))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15885, 15494, 14])).
% 218.23/140.78 tff(15887,plain,
% 218.23/140.78 ((~(v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56)))))) | v94(constB56) | ((~v95(constB56)) | (~v104(constB56)))),
% 218.23/140.78 inference(tautology,[status(thm)],[])).
% 218.23/140.78 tff(15888,plain,
% 218.23/140.78 (v94(constB56) | ((~v95(constB56)) | (~v104(constB56)))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15887, 15886])).
% 218.23/140.78 tff(15889,plain,
% 218.23/140.78 ((~v95(constB56)) | (~v104(constB56))),
% 218.23/140.78 inference(unit_resolution,[status(thm)],[15888, 15816])).
% 218.23/140.78 tff(15890,plain,
% 218.23/140.78 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(15891,plain,
% 218.23/140.79 (((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56)))))) <=> ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(15892,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56)))))))),
% 218.23/140.79 inference(monotonicity,[status(thm)],[15891])).
% 218.23/140.79 tff(15893,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))),
% 218.23/140.79 inference(transitivity,[status(thm)],[15892, 15890])).
% 218.23/140.79 tff(15894,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56))))))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(15895,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56)))))),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[15894, 15893])).
% 218.23/140.79 tff(15896,plain,
% 218.23/140.79 (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15895, 15494, 37])).
% 218.23/140.79 tff(15897,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56)))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(15898,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56)))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(15899,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56))),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[15898, 15897])).
% 218.23/140.79 tff(15900,plain,
% 218.23/140.79 ((~v96(constB56)) <=> v98(constB56)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15899, 15494, 54])).
% 218.23/140.79 tff(15901,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55)))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(15902,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55)))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(15903,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55))),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[15902, 15901])).
% 218.23/140.79 tff(15904,plain,
% 218.23/140.79 (v98(constB56) <=> v1(constB55)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15903, 15494, 68])).
% 218.23/140.79 tff(15905,plain,
% 218.23/140.79 ((~v1(constB55)) <=> (~v1(constB55))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(15906,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55')).
% 218.23/140.79 tff(15907,plain,
% 218.23/140.79 (~v1(constB55)),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[15906, 15905])).
% 218.23/140.79 tff(15908,plain,
% 218.23/140.79 ((~(v98(constB56) <=> v1(constB55))) | (~v98(constB56)) | v1(constB55)),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15909,plain,
% 218.23/140.79 ((~(v98(constB56) <=> v1(constB55))) | (~v98(constB56))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15908, 15907])).
% 218.23/140.79 tff(15910,plain,
% 218.23/140.79 (~v98(constB56)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15909, 15904])).
% 218.23/140.79 tff(15911,plain,
% 218.23/140.79 ((~((~v96(constB56)) <=> v98(constB56))) | v96(constB56) | v98(constB56)),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15912,plain,
% 218.23/140.79 (v96(constB56)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15911, 15910, 15900])).
% 218.23/140.79 tff(15913,plain,
% 218.23/140.79 (v1(constB56) <=> v1(constB56)),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(15914,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56')).
% 218.23/140.79 tff(15915,plain,
% 218.23/140.79 (v1(constB56)),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[15914, 15913])).
% 218.23/140.79 tff(15916,plain,
% 218.23/140.79 ((~((~v1(constB56)) | (~v96(constB56)))) | (~v1(constB56)) | (~v96(constB56))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15917,plain,
% 218.23/140.79 ((~((~v1(constB56)) | (~v96(constB56)))) | (~v96(constB56))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15916, 15915])).
% 218.23/140.79 tff(15918,plain,
% 218.23/140.79 (~((~v1(constB56)) | (~v96(constB56)))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15917, 15912])).
% 218.23/140.79 tff(15919,plain,
% 218.23/140.79 ((~(v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56)))))) | v95(constB56) | ((~v1(constB56)) | (~v96(constB56)))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15920,plain,
% 218.23/140.79 (v95(constB56)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15919, 15918, 15896])).
% 218.23/140.79 tff(15921,plain,
% 218.23/140.79 ((~((~v95(constB56)) | (~v104(constB56)))) | (~v95(constB56)) | (~v104(constB56))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15922,plain,
% 218.23/140.79 ((~((~v95(constB56)) | (~v104(constB56)))) | (~v104(constB56))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15921, 15920])).
% 218.23/140.79 tff(15923,plain,
% 218.23/140.79 (~v104(constB56)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15922, 15889])).
% 218.23/140.79 tff(15924,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55)))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(15925,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55)))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(15926,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55))),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[15925, 15924])).
% 218.23/140.79 tff(15927,plain,
% 218.23/140.79 (v104(constB56) <=> v102(constB55)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15926, 15494, 101])).
% 218.23/140.79 tff(15928,plain,
% 218.23/140.79 ((~(v104(constB56) <=> v102(constB55))) | v104(constB56) | (~v102(constB55))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15929,plain,
% 218.23/140.79 (v104(constB56) | (~v102(constB55))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15928, 15927])).
% 218.23/140.79 tff(15930,plain,
% 218.23/140.79 (~v102(constB55)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15929, 15923])).
% 218.23/140.79 tff(15931,plain,
% 218.23/140.79 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB55) <=> (v105(constB55) | v106(constB55)))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(15932,plain,
% 218.23/140.79 (v102(constB55) <=> (v105(constB55) | v106(constB55))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15931, 115])).
% 218.23/140.79 tff(15933,plain,
% 218.23/140.79 ((~(v102(constB55) <=> (v105(constB55) | v106(constB55)))) | v102(constB55) | (~(v105(constB55) | v106(constB55)))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15934,plain,
% 218.23/140.79 (v102(constB55) | (~(v105(constB55) | v106(constB55)))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15933, 15932])).
% 218.23/140.79 tff(15935,plain,
% 218.23/140.79 (~(v105(constB55) | v106(constB55))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15934, 15930])).
% 218.23/140.79 tff(15936,plain,
% 218.23/140.79 ((v105(constB55) | v106(constB55)) | (~v106(constB55))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15937,plain,
% 218.23/140.79 (~v106(constB55)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15936, 15935])).
% 218.23/140.79 tff(15938,plain,
% 218.23/140.79 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB55) <=> (~((~v107(constB55)) | (~v120(constB55)))))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(15939,plain,
% 218.23/140.79 (v106(constB55) <=> (~((~v107(constB55)) | (~v120(constB55))))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15938, 132])).
% 218.23/140.79 tff(15940,plain,
% 218.23/140.79 ((~(v106(constB55) <=> (~((~v107(constB55)) | (~v120(constB55)))))) | v106(constB55) | ((~v107(constB55)) | (~v120(constB55)))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15941,plain,
% 218.23/140.79 (v106(constB55) | ((~v107(constB55)) | (~v120(constB55)))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15940, 15939])).
% 218.23/140.79 tff(15942,plain,
% 218.23/140.79 ((~v107(constB55)) | (~v120(constB55))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15941, 15937])).
% 218.23/140.79 tff(15943,plain,
% 218.23/140.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB55)) <=> v105(constB55))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(15944,plain,
% 218.23/140.79 ((~v120(constB55)) <=> v105(constB55)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15943, 144])).
% 218.23/140.79 tff(15945,plain,
% 218.23/140.79 ((~((~v120(constB55)) <=> v105(constB55))) | v120(constB55) | v105(constB55)),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15946,plain,
% 218.23/140.79 ((~((~v120(constB55)) <=> v105(constB55))) | v120(constB55)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15945, 15475])).
% 218.23/140.79 tff(15947,plain,
% 218.23/140.79 (v120(constB55)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15946, 15944])).
% 218.23/140.79 tff(15948,plain,
% 218.23/140.79 ((~((~v107(constB55)) | (~v120(constB55)))) | (~v107(constB55)) | (~v120(constB55))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15949,plain,
% 218.23/140.79 ((~((~v107(constB55)) | (~v120(constB55)))) | (~v107(constB55))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15948, 15947])).
% 218.23/140.79 tff(15950,plain,
% 218.23/140.79 (~v107(constB55)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15949, 15942])).
% 218.23/140.79 tff(15951,plain,
% 218.23/140.79 ((~(v107(constB55) <=> (v108(constB55) | v119(constB55)))) | v107(constB55) | (~(v108(constB55) | v119(constB55)))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15952,plain,
% 218.23/140.79 ((~(v107(constB55) <=> (v108(constB55) | v119(constB55)))) | (~(v108(constB55) | v119(constB55)))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15951, 15950])).
% 218.23/140.79 tff(15953,plain,
% 218.23/140.79 (~(v108(constB55) | v119(constB55))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15952, 15882])).
% 218.23/140.79 tff(15954,plain,
% 218.23/140.79 ((v108(constB55) | v119(constB55)) | (~v108(constB55))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15955,plain,
% 218.23/140.79 (~v108(constB55)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15954, 15953])).
% 218.23/140.79 tff(15956,plain,
% 218.23/140.79 ((~(v108(constB55) <=> (v109(constB55) | v118(constB55)))) | v108(constB55) | (~(v109(constB55) | v118(constB55)))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15957,plain,
% 218.23/140.79 ((~(v108(constB55) <=> (v109(constB55) | v118(constB55)))) | (~(v109(constB55) | v118(constB55)))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15956, 15955])).
% 218.23/140.79 tff(15958,plain,
% 218.23/140.79 (~(v109(constB55) | v118(constB55))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15957, 15880])).
% 218.23/140.79 tff(15959,plain,
% 218.23/140.79 ((v109(constB55) | v118(constB55)) | (~v109(constB55))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15960,plain,
% 218.23/140.79 (~v109(constB55)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15959, 15958])).
% 218.23/140.79 tff(15961,plain,
% 218.23/140.79 ((~(v109(constB55) <=> (v110(constB55) | v117(constB55)))) | v109(constB55) | (~(v110(constB55) | v117(constB55)))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15962,plain,
% 218.23/140.79 ((~(v109(constB55) <=> (v110(constB55) | v117(constB55)))) | (~(v110(constB55) | v117(constB55)))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15961, 15960])).
% 218.23/140.79 tff(15963,plain,
% 218.23/140.79 (~(v110(constB55) | v117(constB55))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15962, 15878])).
% 218.23/140.79 tff(15964,plain,
% 218.23/140.79 ((v110(constB55) | v117(constB55)) | (~v110(constB55))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15965,plain,
% 218.23/140.79 (~v110(constB55)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15964, 15963])).
% 218.23/140.79 tff(15966,plain,
% 218.23/140.79 ((~(v110(constB55) <=> (v111(constB55) | v116(constB55)))) | v110(constB55) | (~(v111(constB55) | v116(constB55)))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15967,plain,
% 218.23/140.79 (~(v111(constB55) | v116(constB55))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15966, 15965, 15876])).
% 218.23/140.79 tff(15968,plain,
% 218.23/140.79 ((v111(constB55) | v116(constB55)) | (~v111(constB55))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15969,plain,
% 218.23/140.79 ($false),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15968, 15967, 15874])).
% 218.23/140.79 tff(15970,plain,(v84(constB56, 2) | v84(constB56, 0) | (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.23/140.79 tff(15971,plain,
% 218.23/140.79 (v84(constB56, 2)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15970, 15428, 15380])).
% 218.23/140.79 tff(15972,plain,
% 218.23/140.79 ((v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2)) | (~v84(constB56, 2))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15973,plain,
% 218.23/140.79 (v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15972, 15971])).
% 218.23/140.79 tff(15974,plain,
% 218.23/140.79 ((v84(constB56, 1) | (~v84(constB56, 2)) | (~v84(constB56, 0))) | v84(constB56, 0)),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15975,plain,
% 218.23/140.79 (v84(constB56, 1) | (~v84(constB56, 2)) | (~v84(constB56, 0))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15974, 15428])).
% 218.23/140.79 tff(15976,assumption,(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2))), introduced(assumption)).
% 218.23/140.79 tff(15977,assumption,(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))), introduced(assumption)).
% 218.23/140.79 tff(15978,plain,
% 218.23/140.79 ((v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2)) | (~v84(constB56, 2))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15979,plain,
% 218.23/140.79 (v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15978, 15971])).
% 218.23/140.79 tff(15980,assumption,(v84(constB56, 1) | (~v84(constB56, 2)) | (~v84(constB56, 0))), introduced(assumption)).
% 218.23/140.79 tff(15981,assumption,(v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2)), introduced(assumption)).
% 218.23/140.79 tff(15982,assumption,(v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2)), introduced(assumption)).
% 218.23/140.79 tff(15983,assumption,(~v84(constB57, 1)), introduced(assumption)).
% 218.23/140.79 tff(15984,assumption,(~v84(constB57, 2)), introduced(assumption)).
% 218.23/140.79 tff(15985,plain,
% 218.23/140.79 ((~(v84(constB57, 2) <=> v84(constB56, 2))) | v84(constB57, 2) | (~v84(constB56, 2))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15986,plain,
% 218.23/140.79 ((~(v84(constB57, 2) <=> v84(constB56, 2))) | (~v84(constB56, 2))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15985, 15984])).
% 218.23/140.79 tff(15987,plain,
% 218.23/140.79 (~v84(constB56, 2)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15986, 15444])).
% 218.23/140.79 tff(15988,plain,
% 218.23/140.79 (v84(constB57, 0) <=> v84(constB56, 0)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15423, 15415])).
% 218.23/140.79 tff(15989,plain,
% 218.23/140.79 ((~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))) | v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15990,plain,
% 218.23/140.79 (~v84(constB57, 0)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15989, 15984, 15983, 15977])).
% 218.23/140.79 tff(15991,plain,
% 218.23/140.79 ((~(v84(constB57, 0) <=> v84(constB56, 0))) | (~v84(constB56, 0))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15426, 15990])).
% 218.23/140.79 tff(15992,plain,
% 218.23/140.79 (~v84(constB56, 0)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15991, 15988])).
% 218.23/140.79 tff(15993,plain,
% 218.23/140.79 ((~(v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2))) | v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2)),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15994,plain,
% 218.23/140.79 (~v84(constB56, 1)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15993, 15992, 15987, 15982])).
% 218.23/140.79 tff(15995,plain,
% 218.23/140.79 ((~(v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2))) | v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2)),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(15996,plain,
% 218.23/140.79 ($false),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15995, 15994, 15992, 15987, 15981])).
% 218.23/140.79 tff(15997,plain,(v84(constB57, 2) | (~(v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2))) | (~(v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2))) | v84(constB57, 1) | (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.23/140.79 tff(15998,plain,
% 218.23/140.79 (v84(constB57, 2)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15997, 15983, 15982, 15981, 15977])).
% 218.23/140.79 tff(15999,plain,
% 218.23/140.79 ((~(v84(constB57, 2) <=> v84(constB56, 2))) | v84(constB56, 2)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15446, 15998])).
% 218.23/140.79 tff(16000,plain,
% 218.23/140.79 (v84(constB56, 2)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15999, 15444])).
% 218.23/140.79 tff(16001,plain,
% 218.23/140.79 (v84(constB57, 1) <=> v84(constB56, 1)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15463, 15415])).
% 218.23/140.79 tff(16002,plain,
% 218.23/140.79 ((~(v84(constB57, 1) <=> v84(constB56, 1))) | (~v84(constB56, 1))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15466, 15983])).
% 218.23/140.79 tff(16003,plain,
% 218.23/140.79 (~v84(constB56, 1)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16002, 16001])).
% 218.23/140.79 tff(16004,plain,
% 218.23/140.79 ((~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2)))) | v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16005,plain,
% 218.23/140.79 (v84(constB57, 0)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16004, 15998, 15983, 15976])).
% 218.23/140.79 tff(16006,plain,
% 218.23/140.79 ((~(v84(constB57, 0) <=> v84(constB56, 0))) | v84(constB56, 0)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15449, 16005])).
% 218.23/140.79 tff(16007,plain,
% 218.23/140.79 (v84(constB56, 0)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16006, 15988])).
% 218.23/140.79 tff(16008,plain,
% 218.23/140.79 ((~(v84(constB56, 1) | (~v84(constB56, 2)) | (~v84(constB56, 0)))) | v84(constB56, 1) | (~v84(constB56, 2)) | (~v84(constB56, 0))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16009,plain,
% 218.23/140.79 ($false),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16008, 16007, 16003, 16000, 15980])).
% 218.23/140.79 tff(16010,plain,(v84(constB57, 1) | (~(v84(constB56, 1) | (~v84(constB56, 2)) | (~v84(constB56, 0)))) | (~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2)))) | (~(v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2))) | (~(v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2))) | (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.23/140.79 tff(16011,plain,
% 218.23/140.79 (v84(constB57, 1)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16010, 15979, 15977, 15976, 15975, 15973])).
% 218.23/140.79 tff(16012,assumption,(v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2))), introduced(assumption)).
% 218.23/140.79 tff(16013,plain,
% 218.23/140.79 ((~(v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2)))) | v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16014,plain,
% 218.23/140.79 (~v84(constB57, 2)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16013, 16011, 16012, 15379])).
% 218.23/140.79 tff(16015,plain,
% 218.23/140.79 ($false),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[15452, 16014, 16011, 15380, 15379])).
% 218.23/140.79 tff(16016,plain,(v84(constB57, 0) | (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2))) | (~(v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2)))) | (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))) | (~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.23/140.79 tff(16017,plain,
% 218.23/140.79 (v84(constB57, 0)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16016, 15378, 15364, 15355, 15335])).
% 218.23/140.79 tff(16018,assumption,(~(v107(constB57) <=> (v108(constB57) | v119(constB57)))), introduced(assumption)).
% 218.23/140.79 tff(16019,plain,
% 218.23/140.79 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB57) <=> (v108(constB57) | v119(constB57)))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16020,plain,
% 218.23/140.79 ($false),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16019, 187, 16018])).
% 218.23/140.79 tff(16021,plain,(v107(constB57) <=> (v108(constB57) | v119(constB57))), inference(lemma,lemma(discharge,[]))).
% 218.23/140.79 tff(16022,plain,
% 218.23/140.79 ((~(v107(constB57) <=> (v108(constB57) | v119(constB57)))) | (~v107(constB57)) | (v108(constB57) | v119(constB57))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16023,plain,
% 218.23/140.79 ((~v107(constB57)) | (v108(constB57) | v119(constB57))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16022, 16021])).
% 218.23/140.79 tff(16024,plain,
% 218.23/140.79 (~v107(constB57)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16023, 15304])).
% 218.23/140.79 tff(16025,plain,
% 218.23/140.79 (((~v107(constB57)) | (~v120(constB57))) | v107(constB57)),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16026,plain,
% 218.23/140.79 ((~v107(constB57)) | (~v120(constB57))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16025, 16024])).
% 218.23/140.79 tff(16027,plain,
% 218.23/140.79 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB57) <=> (~((~v107(constB57)) | (~v120(constB57)))))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16028,plain,
% 218.23/140.79 (v106(constB57) <=> (~((~v107(constB57)) | (~v120(constB57))))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16027, 132])).
% 218.23/140.79 tff(16029,plain,
% 218.23/140.79 ((~(v106(constB57) <=> (~((~v107(constB57)) | (~v120(constB57)))))) | (~v106(constB57)) | (~((~v107(constB57)) | (~v120(constB57))))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16030,plain,
% 218.23/140.79 ((~v106(constB57)) | (~((~v107(constB57)) | (~v120(constB57))))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16029, 16028])).
% 218.23/140.79 tff(16031,plain,
% 218.23/140.79 (~v106(constB57)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16030, 16026])).
% 218.23/140.79 tff(16032,plain,
% 218.23/140.79 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB57) <=> v26(constB57))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16033,plain,
% 218.23/140.79 (v105(constB57) <=> v26(constB57)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16032, 156])).
% 218.23/140.79 tff(16034,plain,
% 218.23/140.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16035,plain,
% 218.23/140.79 (~v26(constB57)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16034, 168])).
% 218.23/140.79 tff(16036,plain,
% 218.23/140.79 ((~(v105(constB57) <=> v26(constB57))) | (~v105(constB57)) | v26(constB57)),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16037,plain,
% 218.23/140.79 ((~(v105(constB57) <=> v26(constB57))) | (~v105(constB57))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16036, 16035])).
% 218.23/140.79 tff(16038,plain,
% 218.23/140.79 (~v105(constB57)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16037, 16033])).
% 218.23/140.79 tff(16039,plain,
% 218.23/140.79 ((~(v105(constB57) | v106(constB57))) | v105(constB57) | v106(constB57)),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16040,plain,
% 218.23/140.79 ((~(v105(constB57) | v106(constB57))) | v106(constB57)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16039, 16038])).
% 218.23/140.79 tff(16041,plain,
% 218.23/140.79 (~(v105(constB57) | v106(constB57))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16040, 16031])).
% 218.23/140.79 tff(16042,plain,
% 218.23/140.79 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB57) <=> (v105(constB57) | v106(constB57)))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16043,plain,
% 218.23/140.79 (v102(constB57) <=> (v105(constB57) | v106(constB57))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16042, 115])).
% 218.23/140.79 tff(16044,plain,
% 218.23/140.79 ((~(v102(constB57) <=> (v105(constB57) | v106(constB57)))) | (~v102(constB57)) | (v105(constB57) | v106(constB57))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16045,plain,
% 218.23/140.79 ((~v102(constB57)) | (v105(constB57) | v106(constB57))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16044, 16043])).
% 218.23/140.79 tff(16046,plain,
% 218.23/140.79 (~v102(constB57)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16045, 16041])).
% 218.23/140.79 tff(16047,plain,
% 218.23/140.79 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16048,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57')).
% 218.23/140.79 tff(16049,plain,
% 218.23/140.79 (nextState(constB57, constB58)),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[16048, 16047])).
% 218.23/140.79 tff(16050,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57)))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16051,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57)))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16052,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57))),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[16051, 16050])).
% 218.23/140.79 tff(16053,plain,
% 218.23/140.79 (v104(constB58) <=> v102(constB57)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16052, 16049, 101])).
% 218.23/140.79 tff(16054,plain,
% 218.23/140.79 ((~(v104(constB58) <=> v102(constB57))) | (~v104(constB58)) | v102(constB57)),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16055,plain,
% 218.23/140.79 ((~v104(constB58)) | v102(constB57)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16054, 16053])).
% 218.23/140.79 tff(16056,plain,
% 218.23/140.79 (~v104(constB58)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16055, 16046])).
% 218.23/140.79 tff(16057,plain,
% 218.23/140.79 (((~v95(constB58)) | (~v104(constB58))) | v104(constB58)),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16058,plain,
% 218.23/140.79 ((~v95(constB58)) | (~v104(constB58))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16057, 16056])).
% 218.23/140.79 tff(16059,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58))))))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16060,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58))))))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16061,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58)))))),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[16060, 16059])).
% 218.23/140.79 tff(16062,plain,
% 218.23/140.79 (v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58))))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16061, 16049, 14])).
% 218.23/140.79 tff(16063,plain,
% 218.23/140.79 ((~(v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58)))))) | (~v94(constB58)) | (~((~v95(constB58)) | (~v104(constB58))))),
% 218.23/140.79 inference(tautology,[status(thm)],[])).
% 218.23/140.79 tff(16064,plain,
% 218.23/140.79 ((~v94(constB58)) | (~((~v95(constB58)) | (~v104(constB58))))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16063, 16062])).
% 218.23/140.79 tff(16065,plain,
% 218.23/140.79 (~v94(constB58)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16064, 16058])).
% 218.23/140.79 tff(16066,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB58) | (~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB58) | (~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B))))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16067,plain,
% 218.23/140.79 ((v94(constB58) | (~nextState(constB57, constB58)) | ![B: $int] : ((v84(constB58, B) <=> v84(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB58) | (~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B))))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16068,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB58) | (~nextState(constB57, constB58)) | ![B: $int] : ((v84(constB58, B) <=> v84(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB58) | (~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))))),
% 218.23/140.79 inference(monotonicity,[status(thm)],[16067])).
% 218.23/140.79 tff(16069,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB58) | (~nextState(constB57, constB58)) | ![B: $int] : ((v84(constB58, B) <=> v84(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB58) | (~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B))))),
% 218.23/140.79 inference(transitivity,[status(thm)],[16068, 16066])).
% 218.23/140.79 tff(16070,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB58) | (~nextState(constB57, constB58)) | ![B: $int] : ((v84(constB58, B) <=> v84(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16071,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB58) | (~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[16070, 16069])).
% 218.23/140.79 tff(16072,plain,
% 218.23/140.79 (v94(constB58) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16071, 16049, 235])).
% 218.23/140.79 tff(16073,plain,
% 218.23/140.79 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16072, 16065])).
% 218.23/140.79 tff(16074,plain,
% 218.23/140.79 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 1) <=> v84(constB57, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 1) <=> v84(constB57, 1)))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16075,plain,
% 218.23/140.79 (($false | $false | (v84(constB58, 1) <=> v84(constB57, 1))) <=> (v84(constB58, 1) <=> v84(constB57, 1))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16076,plain,
% 218.23/140.79 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB58, 1) <=> v84(constB57, 1))) <=> ($false | $false | (v84(constB58, 1) <=> v84(constB57, 1)))),
% 218.23/140.79 inference(monotonicity,[status(thm)],[402, 401])).
% 218.23/140.79 tff(16077,plain,
% 218.23/140.79 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB58, 1) <=> v84(constB57, 1))) <=> (v84(constB58, 1) <=> v84(constB57, 1))),
% 218.23/140.79 inference(transitivity,[status(thm)],[16076, 16075])).
% 218.23/140.79 tff(16078,plain,
% 218.23/140.79 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB58, 1) <=> v84(constB57, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 1) <=> v84(constB57, 1)))),
% 218.23/140.79 inference(monotonicity,[status(thm)],[16077])).
% 218.23/140.79 tff(16079,plain,
% 218.23/140.79 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB58, 1) <=> v84(constB57, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 1) <=> v84(constB57, 1)))),
% 218.23/140.79 inference(transitivity,[status(thm)],[16078, 16074])).
% 218.23/140.79 tff(16080,plain,
% 218.23/140.79 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB58, 1) <=> v84(constB57, 1)))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16081,plain,
% 218.23/140.79 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 1) <=> v84(constB57, 1))),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[16080, 16079])).
% 218.23/140.79 tff(16082,plain,
% 218.23/140.79 (v84(constB58, 1) <=> v84(constB57, 1)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16081, 16073])).
% 218.23/140.79 tff(16083,assumption,(~(v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))))), introduced(assumption)).
% 218.23/140.79 tff(16084,plain,
% 218.23/140.79 ($false),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[6537, 622, 16083])).
% 218.23/140.79 tff(16085,plain,(v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.23/140.79 tff(16086,assumption,(~v84(constB58, 0)), introduced(assumption)).
% 218.23/140.79 tff(16087,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B))))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16088,plain,
% 218.23/140.79 (((~nextState(constB57, constB58)) | ![B: $int] : ((v123(constB58, B) <=> v121(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B))))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16089,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB57, constB58)) | ![B: $int] : ((v123(constB58, B) <=> v121(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))))),
% 218.23/140.79 inference(monotonicity,[status(thm)],[16088])).
% 218.23/140.79 tff(16090,plain,
% 218.23/140.79 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB57, constB58)) | ![B: $int] : ((v123(constB58, B) <=> v121(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B))))),
% 218.23/140.79 inference(transitivity,[status(thm)],[16089, 16087])).
% 218.23/140.79 tff(16091,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB57, constB58)) | ![B: $int] : ((v123(constB58, B) <=> v121(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16092,plain,
% 218.23/140.79 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB57, constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[16091, 16090])).
% 218.23/140.79 tff(16093,plain,
% 218.23/140.79 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16092, 16049, 1527])).
% 218.23/140.79 tff(16094,plain,
% 218.23/140.79 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 0) <=> v121(constB57, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 0) <=> v121(constB57, 0)))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16095,plain,
% 218.23/140.79 (($false | $false | (v123(constB58, 0) <=> v121(constB57, 0))) <=> (v123(constB58, 0) <=> v121(constB57, 0))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16096,plain,
% 218.23/140.79 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB58, 0) <=> v121(constB57, 0))) <=> ($false | $false | (v123(constB58, 0) <=> v121(constB57, 0)))),
% 218.23/140.79 inference(monotonicity,[status(thm)],[250, 249])).
% 218.23/140.79 tff(16097,plain,
% 218.23/140.79 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB58, 0) <=> v121(constB57, 0))) <=> (v123(constB58, 0) <=> v121(constB57, 0))),
% 218.23/140.79 inference(transitivity,[status(thm)],[16096, 16095])).
% 218.23/140.79 tff(16098,plain,
% 218.23/140.79 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB58, 0) <=> v121(constB57, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 0) <=> v121(constB57, 0)))),
% 218.23/140.79 inference(monotonicity,[status(thm)],[16097])).
% 218.23/140.79 tff(16099,plain,
% 218.23/140.79 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB58, 0) <=> v121(constB57, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 0) <=> v121(constB57, 0)))),
% 218.23/140.79 inference(transitivity,[status(thm)],[16098, 16094])).
% 218.23/140.79 tff(16100,plain,
% 218.23/140.79 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB58, 0) <=> v121(constB57, 0)))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16101,plain,
% 218.23/140.79 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 0) <=> v121(constB57, 0))),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[16100, 16099])).
% 218.23/140.79 tff(16102,plain,
% 218.23/140.79 (v123(constB58, 0) <=> v121(constB57, 0)),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16101, 16093])).
% 218.23/140.79 tff(16103,plain,
% 218.23/140.79 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB57) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB57) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B))))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16104,plain,
% 218.23/140.79 ((v105(constB57) | ![B: $int] : ((v121(constB57, B) <=> v124(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB57) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B))))),
% 218.23/140.79 inference(rewrite,[status(thm)],[])).
% 218.23/140.79 tff(16105,plain,
% 218.23/140.79 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB57) | ![B: $int] : ((v121(constB57, B) <=> v124(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB57) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))))),
% 218.23/140.79 inference(monotonicity,[status(thm)],[16104])).
% 218.23/140.79 tff(16106,plain,
% 218.23/140.79 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB57) | ![B: $int] : ((v121(constB57, B) <=> v124(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB57) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B))))),
% 218.23/140.79 inference(transitivity,[status(thm)],[16105, 16103])).
% 218.23/140.79 tff(16107,plain,
% 218.23/140.79 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB57) | ![B: $int] : ((v121(constB57, B) <=> v124(constB57, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.79 inference(quant_inst,[status(thm)],[])).
% 218.23/140.79 tff(16108,plain,
% 218.23/140.79 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB57) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))),
% 218.23/140.79 inference(modus_ponens,[status(thm)],[16107, 16106])).
% 218.23/140.79 tff(16109,plain,
% 218.23/140.79 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))),
% 218.23/140.79 inference(unit_resolution,[status(thm)],[16108, 1562, 16038])).
% 218.23/140.79 tff(16110,plain,
% 218.23/140.79 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 0) <=> v124(constB57, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 0) <=> v124(constB57, 0)))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16111,plain,
% 218.23/140.80 (($false | $false | (v121(constB57, 0) <=> v124(constB57, 0))) <=> (v121(constB57, 0) <=> v124(constB57, 0))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16112,plain,
% 218.23/140.80 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB57, 0) <=> v124(constB57, 0))) <=> ($false | $false | (v121(constB57, 0) <=> v124(constB57, 0)))),
% 218.23/140.80 inference(monotonicity,[status(thm)],[250, 249])).
% 218.23/140.80 tff(16113,plain,
% 218.23/140.80 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB57, 0) <=> v124(constB57, 0))) <=> (v121(constB57, 0) <=> v124(constB57, 0))),
% 218.23/140.80 inference(transitivity,[status(thm)],[16112, 16111])).
% 218.23/140.80 tff(16114,plain,
% 218.23/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB57, 0) <=> v124(constB57, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 0) <=> v124(constB57, 0)))),
% 218.23/140.80 inference(monotonicity,[status(thm)],[16113])).
% 218.23/140.80 tff(16115,plain,
% 218.23/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB57, 0) <=> v124(constB57, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 0) <=> v124(constB57, 0)))),
% 218.23/140.80 inference(transitivity,[status(thm)],[16114, 16110])).
% 218.23/140.80 tff(16116,plain,
% 218.23/140.80 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB57, 0) <=> v124(constB57, 0)))),
% 218.23/140.80 inference(quant_inst,[status(thm)],[])).
% 218.23/140.80 tff(16117,plain,
% 218.23/140.80 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 0) <=> v124(constB57, 0))),
% 218.23/140.80 inference(modus_ponens,[status(thm)],[16116, 16115])).
% 218.23/140.80 tff(16118,plain,
% 218.23/140.80 (v121(constB57, 0) <=> v124(constB57, 0)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16117, 16109])).
% 218.23/140.80 tff(16119,assumption,(v115(constB57)), introduced(assumption)).
% 218.23/140.80 tff(16120,plain,
% 218.23/140.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B))))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16121,plain,
% 218.23/140.80 (((~v115(constB57)) | ![B: $int] : ((v124(constB57, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B))))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16122,plain,
% 218.23/140.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB57)) | ![B: $int] : ((v124(constB57, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))))),
% 218.23/140.80 inference(monotonicity,[status(thm)],[16121])).
% 218.23/140.80 tff(16123,plain,
% 218.23/140.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB57)) | ![B: $int] : ((v124(constB57, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B))))),
% 218.23/140.80 inference(transitivity,[status(thm)],[16122, 16120])).
% 218.23/140.80 tff(16124,plain,
% 218.23/140.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB57)) | ![B: $int] : ((v124(constB57, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.80 inference(quant_inst,[status(thm)],[])).
% 218.23/140.80 tff(16125,plain,
% 218.23/140.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))),
% 218.23/140.80 inference(modus_ponens,[status(thm)],[16124, 16123])).
% 218.23/140.80 tff(16126,plain,
% 218.23/140.80 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16125, 2144, 16119])).
% 218.23/140.80 tff(16127,plain,
% 218.23/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 0) <=> b011(0)))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16128,plain,
% 218.23/140.80 (($false | $false | (v124(constB57, 0) <=> b011(0))) <=> (v124(constB57, 0) <=> b011(0))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16129,plain,
% 218.23/140.80 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB57, 0) <=> b011(0))) <=> ($false | $false | (v124(constB57, 0) <=> b011(0)))),
% 218.23/140.80 inference(monotonicity,[status(thm)],[250, 249])).
% 218.23/140.80 tff(16130,plain,
% 218.23/140.80 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB57, 0) <=> b011(0))) <=> (v124(constB57, 0) <=> b011(0))),
% 218.23/140.80 inference(transitivity,[status(thm)],[16129, 16128])).
% 218.23/140.80 tff(16131,plain,
% 218.23/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB57, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 0) <=> b011(0)))),
% 218.23/140.80 inference(monotonicity,[status(thm)],[16130])).
% 218.23/140.80 tff(16132,plain,
% 218.23/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB57, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 0) <=> b011(0)))),
% 218.23/140.80 inference(transitivity,[status(thm)],[16131, 16127])).
% 218.23/140.80 tff(16133,plain,
% 218.23/140.80 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB57, 0) <=> b011(0)))),
% 218.23/140.80 inference(quant_inst,[status(thm)],[])).
% 218.23/140.80 tff(16134,plain,
% 218.23/140.80 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 0) <=> b011(0))),
% 218.23/140.80 inference(modus_ponens,[status(thm)],[16133, 16132])).
% 218.23/140.80 tff(16135,plain,
% 218.23/140.80 (v124(constB57, 0) <=> b011(0)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16134, 16126])).
% 218.23/140.80 tff(16136,plain,
% 218.23/140.80 ((~(v124(constB57, 0) <=> b011(0))) | v124(constB57, 0) | (~b011(0))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16137,plain,
% 218.23/140.80 ((~(v124(constB57, 0) <=> b011(0))) | v124(constB57, 0)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16136, 2025])).
% 218.23/140.80 tff(16138,plain,
% 218.23/140.80 (v124(constB57, 0)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16137, 16135])).
% 218.23/140.80 tff(16139,plain,
% 218.23/140.80 ((~(v121(constB57, 0) <=> v124(constB57, 0))) | v121(constB57, 0) | (~v124(constB57, 0))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16140,plain,
% 218.23/140.80 ((~(v121(constB57, 0) <=> v124(constB57, 0))) | v121(constB57, 0)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16139, 16138])).
% 218.23/140.80 tff(16141,plain,
% 218.23/140.80 (v121(constB57, 0)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16140, 16118])).
% 218.23/140.80 tff(16142,plain,
% 218.23/140.80 (v112(constB57) | v115(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15352, 16119])).
% 218.23/140.80 tff(16143,plain,
% 218.23/140.80 ((~(v111(constB57) <=> (v112(constB57) | v115(constB57)))) | v111(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15349, 16142])).
% 218.23/140.80 tff(16144,plain,
% 218.23/140.80 (v111(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16143, 15346])).
% 218.23/140.80 tff(16145,plain,
% 218.23/140.80 (v111(constB57) | v116(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15347, 16144])).
% 218.23/140.80 tff(16146,plain,
% 218.23/140.80 (v110(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15321, 16145, 15301])).
% 218.23/140.80 tff(16147,plain,
% 218.23/140.80 (v110(constB57) | v117(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15319, 16146])).
% 218.23/140.80 tff(16148,plain,
% 218.23/140.80 (v109(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15316, 16147, 15303])).
% 218.23/140.80 tff(16149,plain,
% 218.23/140.80 (v109(constB57) | v118(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15314, 16148])).
% 218.23/140.80 tff(16150,plain,
% 218.23/140.80 (v108(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15312, 16149])).
% 218.23/140.80 tff(16151,plain,
% 218.23/140.80 (v108(constB57) | v119(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15305, 16150])).
% 218.23/140.80 tff(16152,plain,
% 218.23/140.80 ((~(v107(constB57) <=> (v108(constB57) | v119(constB57)))) | v107(constB57) | (~(v108(constB57) | v119(constB57)))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16153,plain,
% 218.23/140.80 (v107(constB57) | (~(v108(constB57) | v119(constB57)))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16152, 16021])).
% 218.23/140.80 tff(16154,plain,
% 218.23/140.80 (v107(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16153, 16151])).
% 218.23/140.80 tff(16155,plain,
% 218.23/140.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB57)) <=> v105(constB57))),
% 218.23/140.80 inference(quant_inst,[status(thm)],[])).
% 218.23/140.80 tff(16156,plain,
% 218.23/140.80 ((~v120(constB57)) <=> v105(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16155, 144])).
% 218.23/140.80 tff(16157,plain,
% 218.23/140.80 ((~((~v120(constB57)) <=> v105(constB57))) | v120(constB57) | v105(constB57)),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16158,plain,
% 218.23/140.80 ((~((~v120(constB57)) <=> v105(constB57))) | v120(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16157, 16038])).
% 218.23/140.80 tff(16159,plain,
% 218.23/140.80 (v120(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16158, 16156])).
% 218.23/140.80 tff(16160,plain,
% 218.23/140.80 ((~((~v107(constB57)) | (~v120(constB57)))) | (~v107(constB57)) | (~v120(constB57))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16161,plain,
% 218.23/140.80 ((~((~v107(constB57)) | (~v120(constB57)))) | (~v107(constB57))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16160, 16159])).
% 218.23/140.80 tff(16162,plain,
% 218.23/140.80 (~((~v107(constB57)) | (~v120(constB57)))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16161, 16154])).
% 218.23/140.80 tff(16163,plain,
% 218.23/140.80 ((~(v106(constB57) <=> (~((~v107(constB57)) | (~v120(constB57)))))) | v106(constB57) | ((~v107(constB57)) | (~v120(constB57)))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16164,plain,
% 218.23/140.80 (v106(constB57) | ((~v107(constB57)) | (~v120(constB57)))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16163, 16028])).
% 218.23/140.80 tff(16165,plain,
% 218.23/140.80 (v106(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16164, 16162])).
% 218.23/140.80 tff(16166,plain,
% 218.23/140.80 ((v105(constB57) | v106(constB57)) | (~v106(constB57))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16167,plain,
% 218.23/140.80 (v105(constB57) | v106(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16166, 16165])).
% 218.23/140.80 tff(16168,plain,
% 218.23/140.80 ((~(v102(constB57) <=> (v105(constB57) | v106(constB57)))) | v102(constB57) | (~(v105(constB57) | v106(constB57)))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16169,plain,
% 218.23/140.80 (v102(constB57) | (~(v105(constB57) | v106(constB57)))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16168, 16043])).
% 218.23/140.80 tff(16170,plain,
% 218.23/140.80 (v102(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16169, 16167])).
% 218.23/140.80 tff(16171,plain,
% 218.23/140.80 ((~(v104(constB58) <=> v102(constB57))) | v104(constB58) | (~v102(constB57))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16172,plain,
% 218.23/140.80 (v104(constB58) | (~v102(constB57))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16171, 16053])).
% 218.23/140.80 tff(16173,plain,
% 218.23/140.80 (v104(constB58)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16172, 16170])).
% 218.23/140.80 tff(16174,plain,
% 218.23/140.80 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16175,plain,
% 218.23/140.80 (((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58)))))) <=> ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16176,plain,
% 218.23/140.80 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58)))))))),
% 218.23/140.80 inference(monotonicity,[status(thm)],[16175])).
% 218.23/140.80 tff(16177,plain,
% 218.23/140.80 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))),
% 218.23/140.80 inference(transitivity,[status(thm)],[16176, 16174])).
% 218.23/140.80 tff(16178,plain,
% 218.23/140.80 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58))))))),
% 218.23/140.80 inference(quant_inst,[status(thm)],[])).
% 218.23/140.80 tff(16179,plain,
% 218.23/140.80 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58)))))),
% 218.23/140.80 inference(modus_ponens,[status(thm)],[16178, 16177])).
% 218.23/140.80 tff(16180,plain,
% 218.23/140.80 (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16179, 16049, 37])).
% 218.23/140.80 tff(16181,plain,
% 218.23/140.80 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58)))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16182,plain,
% 218.23/140.80 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58)))),
% 218.23/140.80 inference(quant_inst,[status(thm)],[])).
% 218.23/140.80 tff(16183,plain,
% 218.23/140.80 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58))),
% 218.23/140.80 inference(modus_ponens,[status(thm)],[16182, 16181])).
% 218.23/140.80 tff(16184,plain,
% 218.23/140.80 ((~v96(constB58)) <=> v98(constB58)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16183, 16049, 54])).
% 218.23/140.80 tff(16185,plain,
% 218.23/140.80 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57)))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16186,plain,
% 218.23/140.80 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57)))),
% 218.23/140.80 inference(quant_inst,[status(thm)],[])).
% 218.23/140.80 tff(16187,plain,
% 218.23/140.80 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57))),
% 218.23/140.80 inference(modus_ponens,[status(thm)],[16186, 16185])).
% 218.23/140.80 tff(16188,plain,
% 218.23/140.80 (v98(constB58) <=> v1(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16187, 16049, 68])).
% 218.23/140.80 tff(16189,plain,
% 218.23/140.80 ((~(v98(constB58) <=> v1(constB57))) | (~v98(constB58)) | v1(constB57)),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16190,plain,
% 218.23/140.80 ((~(v98(constB58) <=> v1(constB57))) | (~v98(constB58))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16189, 15398])).
% 218.23/140.80 tff(16191,plain,
% 218.23/140.80 (~v98(constB58)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16190, 16188])).
% 218.23/140.80 tff(16192,plain,
% 218.23/140.80 ((~((~v96(constB58)) <=> v98(constB58))) | v96(constB58) | v98(constB58)),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16193,plain,
% 218.23/140.80 (v96(constB58)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16192, 16191, 16184])).
% 218.23/140.80 tff(16194,plain,
% 218.23/140.80 (v1(constB58) <=> v1(constB58)),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16195,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58')).
% 218.23/140.80 tff(16196,plain,
% 218.23/140.80 (v1(constB58)),
% 218.23/140.80 inference(modus_ponens,[status(thm)],[16195, 16194])).
% 218.23/140.80 tff(16197,plain,
% 218.23/140.80 ((~((~v1(constB58)) | (~v96(constB58)))) | (~v1(constB58)) | (~v96(constB58))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16198,plain,
% 218.23/140.80 ((~((~v1(constB58)) | (~v96(constB58)))) | (~v96(constB58))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16197, 16196])).
% 218.23/140.80 tff(16199,plain,
% 218.23/140.80 (~((~v1(constB58)) | (~v96(constB58)))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16198, 16193])).
% 218.23/140.80 tff(16200,plain,
% 218.23/140.80 ((~(v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58)))))) | v95(constB58) | ((~v1(constB58)) | (~v96(constB58)))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16201,plain,
% 218.23/140.80 (v95(constB58)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16200, 16199, 16180])).
% 218.23/140.80 tff(16202,plain,
% 218.23/140.80 ((~((~v95(constB58)) | (~v104(constB58)))) | (~v95(constB58)) | (~v104(constB58))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16203,plain,
% 218.23/140.80 ((~((~v95(constB58)) | (~v104(constB58)))) | (~v104(constB58))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16202, 16201])).
% 218.23/140.80 tff(16204,plain,
% 218.23/140.80 (~((~v95(constB58)) | (~v104(constB58)))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16203, 16173])).
% 218.23/140.80 tff(16205,plain,
% 218.23/140.80 ((~(v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58)))))) | v94(constB58) | ((~v95(constB58)) | (~v104(constB58)))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16206,plain,
% 218.23/140.80 (v94(constB58) | ((~v95(constB58)) | (~v104(constB58)))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16205, 16062])).
% 218.23/140.80 tff(16207,plain,
% 218.23/140.80 (v94(constB58)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16206, 16204])).
% 218.23/140.80 tff(16208,plain,
% 218.23/140.80 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B))))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16209,plain,
% 218.23/140.80 (((~v94(constB58)) | ![B: $int] : ((v84(constB58, B) <=> v123(constB58, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B))))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16210,plain,
% 218.23/140.80 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB58)) | ![B: $int] : ((v84(constB58, B) <=> v123(constB58, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))))),
% 218.23/140.80 inference(monotonicity,[status(thm)],[16209])).
% 218.23/140.80 tff(16211,plain,
% 218.23/140.80 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB58)) | ![B: $int] : ((v84(constB58, B) <=> v123(constB58, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B))))),
% 218.23/140.80 inference(transitivity,[status(thm)],[16210, 16208])).
% 218.23/140.80 tff(16212,plain,
% 218.23/140.80 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB58)) | ![B: $int] : ((v84(constB58, B) <=> v123(constB58, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.23/140.80 inference(quant_inst,[status(thm)],[])).
% 218.23/140.80 tff(16213,plain,
% 218.23/140.80 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))),
% 218.23/140.80 inference(modus_ponens,[status(thm)],[16212, 16211])).
% 218.23/140.80 tff(16214,plain,
% 218.23/140.80 ((~v94(constB58)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16213, 1491])).
% 218.23/140.80 tff(16215,plain,
% 218.23/140.80 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16214, 16207])).
% 218.23/140.80 tff(16216,plain,
% 218.23/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 0) <=> v123(constB58, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 0) <=> v123(constB58, 0)))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16217,plain,
% 218.23/140.80 (($false | $false | (v84(constB58, 0) <=> v123(constB58, 0))) <=> (v84(constB58, 0) <=> v123(constB58, 0))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16218,plain,
% 218.23/140.80 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB58, 0) <=> v123(constB58, 0))) <=> ($false | $false | (v84(constB58, 0) <=> v123(constB58, 0)))),
% 218.23/140.80 inference(monotonicity,[status(thm)],[250, 249])).
% 218.23/140.80 tff(16219,plain,
% 218.23/140.80 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB58, 0) <=> v123(constB58, 0))) <=> (v84(constB58, 0) <=> v123(constB58, 0))),
% 218.23/140.80 inference(transitivity,[status(thm)],[16218, 16217])).
% 218.23/140.80 tff(16220,plain,
% 218.23/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB58, 0) <=> v123(constB58, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 0) <=> v123(constB58, 0)))),
% 218.23/140.80 inference(monotonicity,[status(thm)],[16219])).
% 218.23/140.80 tff(16221,plain,
% 218.23/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB58, 0) <=> v123(constB58, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 0) <=> v123(constB58, 0)))),
% 218.23/140.80 inference(transitivity,[status(thm)],[16220, 16216])).
% 218.23/140.80 tff(16222,plain,
% 218.23/140.80 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB58, 0) <=> v123(constB58, 0)))),
% 218.23/140.80 inference(quant_inst,[status(thm)],[])).
% 218.23/140.80 tff(16223,plain,
% 218.23/140.80 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 0) <=> v123(constB58, 0))),
% 218.23/140.80 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 218.23/140.80 tff(16224,plain,
% 218.23/140.80 (v84(constB58, 0) <=> v123(constB58, 0)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16223, 16215])).
% 218.23/140.80 tff(16225,plain,
% 218.23/140.80 ((~(v84(constB58, 0) <=> v123(constB58, 0))) | v84(constB58, 0) | (~v123(constB58, 0))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16226,plain,
% 218.23/140.80 ((~(v84(constB58, 0) <=> v123(constB58, 0))) | (~v123(constB58, 0))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16225, 16086])).
% 218.23/140.80 tff(16227,plain,
% 218.23/140.80 (~v123(constB58, 0)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16226, 16224])).
% 218.23/140.80 tff(16228,plain,
% 218.23/140.80 ((~(v123(constB58, 0) <=> v121(constB57, 0))) | v123(constB58, 0) | (~v121(constB57, 0))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16229,plain,
% 218.23/140.80 ((~(v123(constB58, 0) <=> v121(constB57, 0))) | (~v121(constB57, 0))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16228, 16227])).
% 218.23/140.80 tff(16230,plain,
% 218.23/140.80 ($false),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16229, 16141, 16102])).
% 218.23/140.80 tff(16231,plain,((~v115(constB57)) | v84(constB58, 0)), inference(lemma,lemma(discharge,[]))).
% 218.23/140.80 tff(16232,plain,
% 218.23/140.80 (~v115(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16231, 16086])).
% 218.23/140.80 tff(16233,plain,
% 218.23/140.80 (v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15354, 16232, 15344])).
% 218.23/140.80 tff(16234,assumption,(~v94(constB58)), introduced(assumption)).
% 218.23/140.80 tff(16235,plain,
% 218.23/140.80 ((~v95(constB58)) | (~v104(constB58))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16206, 16234])).
% 218.23/140.80 tff(16236,plain,
% 218.23/140.80 (~v104(constB58)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16203, 16235])).
% 218.23/140.80 tff(16237,plain,
% 218.23/140.80 (~v102(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16172, 16236])).
% 218.23/140.80 tff(16238,plain,
% 218.23/140.80 (~(v105(constB57) | v106(constB57))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16169, 16237])).
% 218.23/140.80 tff(16239,plain,
% 218.23/140.80 (~v106(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16166, 16238])).
% 218.23/140.80 tff(16240,plain,
% 218.23/140.80 ((~v107(constB57)) | (~v120(constB57))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16164, 16239])).
% 218.23/140.80 tff(16241,plain,
% 218.23/140.80 (~v107(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16161, 16240])).
% 218.23/140.80 tff(16242,plain,
% 218.23/140.80 (~(v108(constB57) | v119(constB57))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16153, 16241])).
% 218.23/140.80 tff(16243,plain,
% 218.23/140.80 (~v119(constB57)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15356, 16242])).
% 218.23/140.80 tff(16244,plain,
% 218.23/140.80 (v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[15363, 16243])).
% 218.23/140.80 tff(16245,plain,
% 218.23/140.80 (v84(constB57, 0)),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16016, 16244, 16233, 15977, 15976])).
% 218.23/140.80 tff(16246,plain,
% 218.23/140.80 ((~(v84(constB58, 0) <=> v84(constB57, 0))) | v84(constB58, 0) | (~v84(constB57, 0))),
% 218.23/140.80 inference(tautology,[status(thm)],[])).
% 218.23/140.80 tff(16247,plain,
% 218.23/140.80 (~(v84(constB58, 0) <=> v84(constB57, 0))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16246, 16086, 16245])).
% 218.23/140.80 tff(16248,plain,
% 218.23/140.80 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))),
% 218.23/140.80 inference(unit_resolution,[status(thm)],[16072, 16234])).
% 218.23/140.80 tff(16249,plain,
% 218.23/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 0) <=> v84(constB57, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 0) <=> v84(constB57, 0)))),
% 218.23/140.80 inference(rewrite,[status(thm)],[])).
% 218.23/140.80 tff(16250,plain,
% 218.23/140.80 (($false | $false | (v84(constB58, 0) <=> v84(constB57, 0))) <=> (v84(constB58, 0) <=> v84(constB57, 0))),
% 218.26/140.80 inference(rewrite,[status(thm)],[])).
% 218.26/140.80 tff(16251,plain,
% 218.26/140.80 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB58, 0) <=> v84(constB57, 0))) <=> ($false | $false | (v84(constB58, 0) <=> v84(constB57, 0)))),
% 218.26/140.80 inference(monotonicity,[status(thm)],[250, 249])).
% 218.26/140.80 tff(16252,plain,
% 218.26/140.80 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB58, 0) <=> v84(constB57, 0))) <=> (v84(constB58, 0) <=> v84(constB57, 0))),
% 218.26/140.80 inference(transitivity,[status(thm)],[16251, 16250])).
% 218.26/140.80 tff(16253,plain,
% 218.26/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB58, 0) <=> v84(constB57, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 0) <=> v84(constB57, 0)))),
% 218.26/140.80 inference(monotonicity,[status(thm)],[16252])).
% 218.26/140.80 tff(16254,plain,
% 218.26/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB58, 0) <=> v84(constB57, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 0) <=> v84(constB57, 0)))),
% 218.26/140.80 inference(transitivity,[status(thm)],[16253, 16249])).
% 218.26/140.80 tff(16255,plain,
% 218.26/140.80 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB58, 0) <=> v84(constB57, 0)))),
% 218.26/140.80 inference(quant_inst,[status(thm)],[])).
% 218.26/140.80 tff(16256,plain,
% 218.26/140.80 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 0) <=> v84(constB57, 0))),
% 218.26/140.80 inference(modus_ponens,[status(thm)],[16255, 16254])).
% 218.26/140.80 tff(16257,plain,
% 218.26/140.80 ($false),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16256, 16248, 16247])).
% 218.26/140.80 tff(16258,plain,(v94(constB58) | v84(constB58, 0) | (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))) | (~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.26/140.80 tff(16259,plain,
% 218.26/140.80 (v84(constB58, 0)),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16258, 15378, 16065, 15335])).
% 218.26/140.80 tff(16260,assumption,(~(v84(constB59, 0) <=> v84(constB58, 0))), introduced(assumption)).
% 218.26/140.80 tff(16261,plain,
% 218.26/140.80 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 218.26/140.80 inference(rewrite,[status(thm)],[])).
% 218.26/140.80 tff(16262,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58')).
% 218.26/140.80 tff(16263,plain,
% 218.26/140.80 (nextState(constB58, constB59)),
% 218.26/140.80 inference(modus_ponens,[status(thm)],[16262, 16261])).
% 218.26/140.80 tff(16264,plain,
% 218.26/140.80 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59))))))),
% 218.26/140.80 inference(rewrite,[status(thm)],[])).
% 218.26/140.80 tff(16265,plain,
% 218.26/140.80 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59))))))),
% 218.26/140.80 inference(quant_inst,[status(thm)],[])).
% 218.26/140.80 tff(16266,plain,
% 218.26/140.80 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59)))))),
% 218.26/140.80 inference(modus_ponens,[status(thm)],[16265, 16264])).
% 218.26/140.80 tff(16267,plain,
% 218.26/140.80 (v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59))))),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16266, 16263, 14])).
% 218.26/140.80 tff(16268,plain,
% 218.26/140.80 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))),
% 218.26/140.80 inference(rewrite,[status(thm)],[])).
% 218.26/140.80 tff(16269,plain,
% 218.26/140.80 (((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59)))))) <=> ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))),
% 218.26/140.80 inference(rewrite,[status(thm)],[])).
% 218.26/140.80 tff(16270,plain,
% 218.26/140.80 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))))),
% 218.26/140.80 inference(monotonicity,[status(thm)],[16269])).
% 218.26/140.80 tff(16271,plain,
% 218.26/140.80 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))),
% 218.26/140.80 inference(transitivity,[status(thm)],[16270, 16268])).
% 218.26/140.80 tff(16272,plain,
% 218.26/140.80 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59))))))),
% 218.26/140.80 inference(quant_inst,[status(thm)],[])).
% 218.26/140.80 tff(16273,plain,
% 218.26/140.80 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))),
% 218.26/140.80 inference(modus_ponens,[status(thm)],[16272, 16271])).
% 218.26/140.80 tff(16274,plain,
% 218.26/140.80 (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16273, 16263, 37])).
% 218.26/140.80 tff(16275,plain,
% 218.26/140.80 (((~v1(constB59)) | (~v96(constB59))) | v1(constB59)),
% 218.26/140.80 inference(tautology,[status(thm)],[])).
% 218.26/140.80 tff(16276,plain,
% 218.26/140.80 ((~v1(constB59)) | (~v96(constB59))),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16275, 7397])).
% 218.26/140.80 tff(16277,plain,
% 218.26/140.80 ((~(v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))) | (~v95(constB59)) | (~((~v1(constB59)) | (~v96(constB59))))),
% 218.26/140.80 inference(tautology,[status(thm)],[])).
% 218.26/140.80 tff(16278,plain,
% 218.26/140.80 ((~(v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))) | (~v95(constB59))),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16277, 16276])).
% 218.26/140.80 tff(16279,plain,
% 218.26/140.80 (~v95(constB59)),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16278, 16274])).
% 218.26/140.80 tff(16280,plain,
% 218.26/140.80 (((~v95(constB59)) | (~v104(constB59))) | v95(constB59)),
% 218.26/140.80 inference(tautology,[status(thm)],[])).
% 218.26/140.80 tff(16281,plain,
% 218.26/140.80 ((~v95(constB59)) | (~v104(constB59))),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16280, 16279])).
% 218.26/140.80 tff(16282,plain,
% 218.26/140.80 ((~(v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59)))))) | (~v94(constB59)) | (~((~v95(constB59)) | (~v104(constB59))))),
% 218.26/140.80 inference(tautology,[status(thm)],[])).
% 218.26/140.80 tff(16283,plain,
% 218.26/140.80 (~v94(constB59)),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16282, 16281, 16267])).
% 218.26/140.80 tff(16284,plain,
% 218.26/140.80 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB59) | (~nextState(constB58, constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB59) | (~nextState(constB58, constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B))))),
% 218.26/140.80 inference(rewrite,[status(thm)],[])).
% 218.26/140.80 tff(16285,plain,
% 218.26/140.80 ((v94(constB59) | (~nextState(constB58, constB59)) | ![B: $int] : ((v84(constB59, B) <=> v84(constB58, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB59) | (~nextState(constB58, constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B))))),
% 218.26/140.80 inference(rewrite,[status(thm)],[])).
% 218.26/140.80 tff(16286,plain,
% 218.26/140.80 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB59) | (~nextState(constB58, constB59)) | ![B: $int] : ((v84(constB59, B) <=> v84(constB58, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB59) | (~nextState(constB58, constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))))),
% 218.26/140.80 inference(monotonicity,[status(thm)],[16285])).
% 218.26/140.80 tff(16287,plain,
% 218.26/140.80 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB59) | (~nextState(constB58, constB59)) | ![B: $int] : ((v84(constB59, B) <=> v84(constB58, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB59) | (~nextState(constB58, constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B))))),
% 218.26/140.80 inference(transitivity,[status(thm)],[16286, 16284])).
% 218.26/140.80 tff(16288,plain,
% 218.26/140.80 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB59) | (~nextState(constB58, constB59)) | ![B: $int] : ((v84(constB59, B) <=> v84(constB58, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.26/140.80 inference(quant_inst,[status(thm)],[])).
% 218.26/140.80 tff(16289,plain,
% 218.26/140.80 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB59) | (~nextState(constB58, constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))),
% 218.26/140.80 inference(modus_ponens,[status(thm)],[16288, 16287])).
% 218.26/140.80 tff(16290,plain,
% 218.26/140.80 (v94(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16289, 16263, 235])).
% 218.26/140.80 tff(16291,plain,
% 218.26/140.80 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16290, 16283])).
% 218.26/140.80 tff(16292,plain,
% 218.26/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 0) <=> v84(constB58, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 0) <=> v84(constB58, 0)))),
% 218.26/140.80 inference(rewrite,[status(thm)],[])).
% 218.26/140.80 tff(16293,plain,
% 218.26/140.80 (($false | $false | (v84(constB59, 0) <=> v84(constB58, 0))) <=> (v84(constB59, 0) <=> v84(constB58, 0))),
% 218.26/140.80 inference(rewrite,[status(thm)],[])).
% 218.26/140.80 tff(16294,plain,
% 218.26/140.80 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB59, 0) <=> v84(constB58, 0))) <=> ($false | $false | (v84(constB59, 0) <=> v84(constB58, 0)))),
% 218.26/140.80 inference(monotonicity,[status(thm)],[250, 249])).
% 218.26/140.80 tff(16295,plain,
% 218.26/140.80 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB59, 0) <=> v84(constB58, 0))) <=> (v84(constB59, 0) <=> v84(constB58, 0))),
% 218.26/140.80 inference(transitivity,[status(thm)],[16294, 16293])).
% 218.26/140.80 tff(16296,plain,
% 218.26/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB59, 0) <=> v84(constB58, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 0) <=> v84(constB58, 0)))),
% 218.26/140.80 inference(monotonicity,[status(thm)],[16295])).
% 218.26/140.80 tff(16297,plain,
% 218.26/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB59, 0) <=> v84(constB58, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 0) <=> v84(constB58, 0)))),
% 218.26/140.80 inference(transitivity,[status(thm)],[16296, 16292])).
% 218.26/140.80 tff(16298,plain,
% 218.26/140.80 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB59, 0) <=> v84(constB58, 0)))),
% 218.26/140.80 inference(quant_inst,[status(thm)],[])).
% 218.26/140.80 tff(16299,plain,
% 218.26/140.80 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 0) <=> v84(constB58, 0))),
% 218.26/140.80 inference(modus_ponens,[status(thm)],[16298, 16297])).
% 218.26/140.80 tff(16300,plain,
% 218.26/140.80 ($false),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16299, 16291, 16260])).
% 218.26/140.80 tff(16301,plain,(v84(constB59, 0) <=> v84(constB58, 0)), inference(lemma,lemma(discharge,[]))).
% 218.26/140.80 tff(16302,plain,
% 218.26/140.80 ((~(v84(constB59, 0) <=> v84(constB58, 0))) | v84(constB59, 0) | (~v84(constB58, 0))),
% 218.26/140.80 inference(tautology,[status(thm)],[])).
% 218.26/140.80 tff(16303,plain,
% 218.26/140.80 (v84(constB59, 0) | (~v84(constB58, 0))),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16302, 16301])).
% 218.26/140.80 tff(16304,plain,
% 218.26/140.80 (v84(constB59, 0)),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16303, 16259])).
% 218.26/140.80 tff(16305,plain,
% 218.26/140.80 ((v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)) | (~v84(constB59, 0))),
% 218.26/140.80 inference(tautology,[status(thm)],[])).
% 218.26/140.80 tff(16306,plain,
% 218.26/140.80 (v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16305, 16304])).
% 218.26/140.80 tff(16307,plain,
% 218.26/140.80 ((~(v115(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2))))) | (~v115(constB59)) | (~(v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)))),
% 218.26/140.80 inference(tautology,[status(thm)],[])).
% 218.26/140.80 tff(16308,plain,
% 218.26/140.80 (~v115(constB59)),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16307, 16306, 16085])).
% 218.26/140.80 tff(16309,plain,
% 218.26/140.80 (v84(constB59, 0) <=> v84(constB58, 0)),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16299, 16291])).
% 218.26/140.80 tff(16310,assumption,(~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0)))), introduced(assumption)).
% 218.26/140.80 tff(16311,plain,
% 218.26/140.80 ((v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))) | v84(constB59, 0)),
% 218.26/140.80 inference(tautology,[status(thm)],[])).
% 218.26/140.80 tff(16312,plain,
% 218.26/140.80 (v84(constB59, 0)),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16311, 16310])).
% 218.26/140.80 tff(16313,plain,
% 218.26/140.80 ((~(v84(constB59, 0) <=> v84(constB58, 0))) | (~v84(constB59, 0)) | v84(constB58, 0)),
% 218.26/140.80 inference(tautology,[status(thm)],[])).
% 218.26/140.80 tff(16314,plain,
% 218.26/140.80 ((~(v84(constB59, 0) <=> v84(constB58, 0))) | v84(constB58, 0)),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16313, 16312])).
% 218.26/140.80 tff(16315,plain,
% 218.26/140.80 (v84(constB58, 0)),
% 218.26/140.80 inference(unit_resolution,[status(thm)],[16314, 16309])).
% 218.26/140.80 tff(16316,assumption,(~v104(constB58)), introduced(assumption)).
% 218.26/140.80 tff(16317,plain,
% 218.26/140.80 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 2) <=> v84(constB58, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 2) <=> v84(constB58, 2)))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16318,plain,
% 218.26/140.81 (($false | $false | (v84(constB59, 2) <=> v84(constB58, 2))) <=> (v84(constB59, 2) <=> v84(constB58, 2))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16319,plain,
% 218.26/140.81 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB59, 2) <=> v84(constB58, 2))) <=> ($false | $false | (v84(constB59, 2) <=> v84(constB58, 2)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[534, 533])).
% 218.26/140.81 tff(16320,plain,
% 218.26/140.81 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB59, 2) <=> v84(constB58, 2))) <=> (v84(constB59, 2) <=> v84(constB58, 2))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16319, 16318])).
% 218.26/140.81 tff(16321,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB59, 2) <=> v84(constB58, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 2) <=> v84(constB58, 2)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[16320])).
% 218.26/140.81 tff(16322,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB59, 2) <=> v84(constB58, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 2) <=> v84(constB58, 2)))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16321, 16317])).
% 218.26/140.81 tff(16323,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB59, 2) <=> v84(constB58, 2)))),
% 218.26/140.81 inference(quant_inst,[status(thm)],[])).
% 218.26/140.81 tff(16324,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 2) <=> v84(constB58, 2))),
% 218.26/140.81 inference(modus_ponens,[status(thm)],[16323, 16322])).
% 218.26/140.81 tff(16325,plain,
% 218.26/140.81 (v84(constB59, 2) <=> v84(constB58, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16324, 16291])).
% 218.26/140.81 tff(16326,plain,
% 218.26/140.81 ((v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))) | (~v84(constB59, 2))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16327,plain,
% 218.26/140.81 (~v84(constB59, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16326, 16310])).
% 218.26/140.81 tff(16328,plain,
% 218.26/140.81 ((~(v84(constB59, 2) <=> v84(constB58, 2))) | v84(constB59, 2) | (~v84(constB58, 2))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16329,plain,
% 218.26/140.81 ((~(v84(constB59, 2) <=> v84(constB58, 2))) | (~v84(constB58, 2))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16328, 16327])).
% 218.26/140.81 tff(16330,plain,
% 218.26/140.81 (~v84(constB58, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16329, 16325])).
% 218.26/140.81 tff(16331,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 1) <=> v84(constB58, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 1) <=> v84(constB58, 1)))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16332,plain,
% 218.26/140.81 (($false | $false | (v84(constB59, 1) <=> v84(constB58, 1))) <=> (v84(constB59, 1) <=> v84(constB58, 1))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16333,plain,
% 218.26/140.81 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB59, 1) <=> v84(constB58, 1))) <=> ($false | $false | (v84(constB59, 1) <=> v84(constB58, 1)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[402, 401])).
% 218.26/140.81 tff(16334,plain,
% 218.26/140.81 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB59, 1) <=> v84(constB58, 1))) <=> (v84(constB59, 1) <=> v84(constB58, 1))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16333, 16332])).
% 218.26/140.81 tff(16335,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB59, 1) <=> v84(constB58, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 1) <=> v84(constB58, 1)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[16334])).
% 218.26/140.81 tff(16336,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB59, 1) <=> v84(constB58, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 1) <=> v84(constB58, 1)))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16335, 16331])).
% 218.26/140.81 tff(16337,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB59, 1) <=> v84(constB58, 1)))),
% 218.26/140.81 inference(quant_inst,[status(thm)],[])).
% 218.26/140.81 tff(16338,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB59, B) <=> v84(constB58, B)))) | (v84(constB59, 1) <=> v84(constB58, 1))),
% 218.26/140.81 inference(modus_ponens,[status(thm)],[16337, 16336])).
% 218.26/140.81 tff(16339,plain,
% 218.26/140.81 (v84(constB59, 1) <=> v84(constB58, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16338, 16291])).
% 218.26/140.81 tff(16340,plain,
% 218.26/140.81 ((v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))) | (~v84(constB59, 1))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16341,plain,
% 218.26/140.81 (~v84(constB59, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16340, 16310])).
% 218.26/140.81 tff(16342,plain,
% 218.26/140.81 ((~(v84(constB59, 1) <=> v84(constB58, 1))) | v84(constB59, 1) | (~v84(constB58, 1))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16343,plain,
% 218.26/140.81 ((~(v84(constB59, 1) <=> v84(constB58, 1))) | (~v84(constB58, 1))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16342, 16341])).
% 218.26/140.81 tff(16344,plain,
% 218.26/140.81 (~v84(constB58, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16343, 16339])).
% 218.26/140.81 tff(16345,plain,
% 218.26/140.81 ((~v95(constB58)) | (~v104(constB58))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16057, 16316])).
% 218.26/140.81 tff(16346,plain,
% 218.26/140.81 (~v94(constB58)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16064, 16345])).
% 218.26/140.81 tff(16347,plain,
% 218.26/140.81 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16072, 16346])).
% 218.26/140.81 tff(16348,plain,
% 218.26/140.81 (v84(constB58, 0) <=> v84(constB57, 0)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16256, 16347])).
% 218.26/140.81 tff(16349,assumption,(v84(constB58, 0)), introduced(assumption)).
% 218.26/140.81 tff(16350,plain,
% 218.26/140.81 ((~(v84(constB58, 0) <=> v84(constB57, 0))) | (~v84(constB58, 0)) | v84(constB57, 0)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16351,plain,
% 218.26/140.81 ((~(v84(constB58, 0) <=> v84(constB57, 0))) | v84(constB57, 0)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16350, 16349])).
% 218.26/140.81 tff(16352,plain,
% 218.26/140.81 (v84(constB57, 0)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16351, 16348])).
% 218.26/140.81 tff(16353,plain,
% 218.26/140.81 (v84(constB58, 1) <=> v84(constB57, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16081, 16347])).
% 218.26/140.81 tff(16354,assumption,(~v84(constB58, 1)), introduced(assumption)).
% 218.26/140.81 tff(16355,plain,
% 218.26/140.81 ((~(v84(constB58, 1) <=> v84(constB57, 1))) | v84(constB58, 1) | (~v84(constB57, 1))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16356,plain,
% 218.26/140.81 ((~(v84(constB58, 1) <=> v84(constB57, 1))) | (~v84(constB57, 1))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16355, 16354])).
% 218.26/140.81 tff(16357,plain,
% 218.26/140.81 (~v84(constB57, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16356, 16353])).
% 218.26/140.81 tff(16358,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 2) <=> v84(constB57, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 2) <=> v84(constB57, 2)))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16359,plain,
% 218.26/140.81 (($false | $false | (v84(constB58, 2) <=> v84(constB57, 2))) <=> (v84(constB58, 2) <=> v84(constB57, 2))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16360,plain,
% 218.26/140.81 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB58, 2) <=> v84(constB57, 2))) <=> ($false | $false | (v84(constB58, 2) <=> v84(constB57, 2)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[534, 533])).
% 218.26/140.81 tff(16361,plain,
% 218.26/140.81 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB58, 2) <=> v84(constB57, 2))) <=> (v84(constB58, 2) <=> v84(constB57, 2))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16360, 16359])).
% 218.26/140.81 tff(16362,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB58, 2) <=> v84(constB57, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 2) <=> v84(constB57, 2)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[16361])).
% 218.26/140.81 tff(16363,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB58, 2) <=> v84(constB57, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 2) <=> v84(constB57, 2)))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16362, 16358])).
% 218.26/140.81 tff(16364,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB58, 2) <=> v84(constB57, 2)))),
% 218.26/140.81 inference(quant_inst,[status(thm)],[])).
% 218.26/140.81 tff(16365,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (v84(constB58, 2) <=> v84(constB57, 2))),
% 218.26/140.81 inference(modus_ponens,[status(thm)],[16364, 16363])).
% 218.26/140.81 tff(16366,plain,
% 218.26/140.81 (v84(constB58, 2) <=> v84(constB57, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16365, 16347])).
% 218.26/140.81 tff(16367,assumption,(~v84(constB58, 2)), introduced(assumption)).
% 218.26/140.81 tff(16368,plain,
% 218.26/140.81 ((~(v84(constB58, 2) <=> v84(constB57, 2))) | v84(constB58, 2) | (~v84(constB57, 2))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16369,plain,
% 218.26/140.81 ((~(v84(constB58, 2) <=> v84(constB57, 2))) | (~v84(constB57, 2))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16368, 16367])).
% 218.26/140.81 tff(16370,plain,
% 218.26/140.81 (~v84(constB57, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16369, 16366])).
% 218.26/140.81 tff(16371,plain,
% 218.26/140.81 (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15989, 16370, 16357, 16352])).
% 218.26/140.81 tff(16372,plain,
% 218.26/140.81 ((~(v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))))) | v114(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15376, 16371])).
% 218.26/140.81 tff(16373,plain,
% 218.26/140.81 (v114(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16372, 15366])).
% 218.26/140.81 tff(16374,plain,
% 218.26/140.81 (v113(constB57) | v114(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15374, 16373])).
% 218.26/140.81 tff(16375,plain,
% 218.26/140.81 ((~(v112(constB57) <=> (v113(constB57) | v114(constB57)))) | v112(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15371, 16374])).
% 218.26/140.81 tff(16376,plain,
% 218.26/140.81 (v112(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16375, 15368])).
% 218.26/140.81 tff(16377,plain,
% 218.26/140.81 (v112(constB57) | v115(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15369, 16376])).
% 218.26/140.81 tff(16378,plain,
% 218.26/140.81 (v111(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15349, 16377, 15346])).
% 218.26/140.81 tff(16379,plain,
% 218.26/140.81 (v108(constB57) <=> (v109(constB57) | v118(constB57))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15308, 428])).
% 218.26/140.81 tff(16380,plain,
% 218.26/140.81 (v107(constB57) <=> (v108(constB57) | v119(constB57))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16019, 187])).
% 218.26/140.81 tff(16381,plain,
% 218.26/140.81 (~v102(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16172, 16316])).
% 218.26/140.81 tff(16382,plain,
% 218.26/140.81 (~(v105(constB57) | v106(constB57))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16169, 16381])).
% 218.26/140.81 tff(16383,plain,
% 218.26/140.81 (~v106(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16166, 16382])).
% 218.26/140.81 tff(16384,plain,
% 218.26/140.81 ((~v107(constB57)) | (~v120(constB57))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16164, 16383])).
% 218.26/140.81 tff(16385,plain,
% 218.26/140.81 (~v107(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16161, 16384])).
% 218.26/140.81 tff(16386,plain,
% 218.26/140.81 ((~(v107(constB57) <=> (v108(constB57) | v119(constB57)))) | (~(v108(constB57) | v119(constB57)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16152, 16385])).
% 218.26/140.81 tff(16387,plain,
% 218.26/140.81 (~(v108(constB57) | v119(constB57))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16386, 16380])).
% 218.26/140.81 tff(16388,plain,
% 218.26/140.81 (~v108(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15305, 16387])).
% 218.26/140.81 tff(16389,plain,
% 218.26/140.81 ((~(v108(constB57) <=> (v109(constB57) | v118(constB57)))) | (~(v109(constB57) | v118(constB57)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15311, 16388])).
% 218.26/140.81 tff(16390,plain,
% 218.26/140.81 (~(v109(constB57) | v118(constB57))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16389, 16379])).
% 218.26/140.81 tff(16391,plain,
% 218.26/140.81 (~v109(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15314, 16390])).
% 218.26/140.81 tff(16392,plain,
% 218.26/140.81 ((~(v109(constB57) <=> (v110(constB57) | v117(constB57)))) | (~(v110(constB57) | v117(constB57)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15316, 16391])).
% 218.26/140.81 tff(16393,plain,
% 218.26/140.81 (~(v110(constB57) | v117(constB57))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16392, 15303])).
% 218.26/140.81 tff(16394,plain,
% 218.26/140.81 (~v110(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15319, 16393])).
% 218.26/140.81 tff(16395,plain,
% 218.26/140.81 (~(v111(constB57) | v116(constB57))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15321, 16394, 15301])).
% 218.26/140.81 tff(16396,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[15347, 16395, 16378])).
% 218.26/140.81 tff(16397,plain,(v104(constB58) | (~v84(constB58, 0)) | v84(constB58, 1) | v84(constB58, 2)), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16398,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16397, 16344, 16330, 16316, 16315])).
% 218.26/140.81 tff(16399,plain,((v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))) | v104(constB58)), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16400,plain,
% 218.26/140.81 (v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16399, 16056])).
% 218.26/140.81 tff(16401,plain,
% 218.26/140.81 ((~v114(constB59)) | (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[7578, 7760])).
% 218.26/140.81 tff(16402,plain,
% 218.26/140.81 (~v114(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16401, 16400])).
% 218.26/140.81 tff(16403,plain,
% 218.26/140.81 ((v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)) | (~v84(constB59, 0))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16404,plain,
% 218.26/140.81 (v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16403, 16304])).
% 218.26/140.81 tff(16405,assumption,(~(v113(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2))))), introduced(assumption)).
% 218.26/140.81 tff(16406,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[6497, 597, 16405])).
% 218.26/140.81 tff(16407,plain,(v113(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16408,plain,
% 218.26/140.81 ((~(v113(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2))))) | (~v113(constB59)) | (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16409,plain,
% 218.26/140.81 ((~v113(constB59)) | (~(v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16408, 16407])).
% 218.26/140.81 tff(16410,plain,
% 218.26/140.81 (~v113(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16409, 16404])).
% 218.26/140.81 tff(16411,plain,
% 218.26/140.81 ((~(v113(constB59) | v114(constB59))) | v113(constB59) | v114(constB59)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16412,plain,
% 218.26/140.81 (~(v113(constB59) | v114(constB59))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16411, 16410, 16402])).
% 218.26/140.81 tff(16413,plain,
% 218.26/140.81 ((~(v112(constB59) <=> (v113(constB59) | v114(constB59)))) | (~v112(constB59)) | (v113(constB59) | v114(constB59))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16414,plain,
% 218.26/140.81 ((~(v112(constB59) <=> (v113(constB59) | v114(constB59)))) | (~v112(constB59))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16413, 16412])).
% 218.26/140.81 tff(16415,plain,
% 218.26/140.81 (~v112(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16414, 6500])).
% 218.26/140.81 tff(16416,plain,
% 218.26/140.81 ((~(v112(constB59) | v115(constB59))) | v112(constB59) | v115(constB59)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16417,plain,
% 218.26/140.81 (~(v112(constB59) | v115(constB59))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16416, 16415, 16308])).
% 218.26/140.81 tff(16418,plain,
% 218.26/140.81 ((~(v111(constB59) <=> (v112(constB59) | v115(constB59)))) | (~v111(constB59)) | (v112(constB59) | v115(constB59))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16419,plain,
% 218.26/140.81 (~v111(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16418, 16417, 6502])).
% 218.26/140.81 tff(16420,assumption,(v108(constB59) | v119(constB59)), introduced(assumption)).
% 218.26/140.81 tff(16421,plain,
% 218.26/140.81 ((v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2))) | (~v84(constB59, 0))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16422,plain,
% 218.26/140.81 (v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16421, 16304])).
% 218.26/140.81 tff(16423,plain,
% 218.26/140.81 ((~(v119(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2)))))) | (~v119(constB59)) | (~(v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2))))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16424,plain,
% 218.26/140.81 ((~(v119(constB59) <=> (~(v84(constB59, 0) | (~v84(constB59, 1)) | (~v84(constB59, 2)))))) | (~v119(constB59))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16423, 16422])).
% 218.26/140.81 tff(16425,plain,
% 218.26/140.81 (~v119(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16424, 6552])).
% 218.26/140.81 tff(16426,plain,
% 218.26/140.81 ((~(v108(constB59) | v119(constB59))) | v108(constB59) | v119(constB59)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16427,plain,
% 218.26/140.81 (v108(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16426, 16425, 16420])).
% 218.26/140.81 tff(16428,plain,
% 218.26/140.81 ((~(v108(constB59) <=> (v109(constB59) | v118(constB59)))) | (~v108(constB59)) | (v109(constB59) | v118(constB59))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16429,plain,
% 218.26/140.81 ((~(v108(constB59) <=> (v109(constB59) | v118(constB59)))) | (v109(constB59) | v118(constB59))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16428, 16427])).
% 218.26/140.81 tff(16430,plain,
% 218.26/140.81 (v109(constB59) | v118(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16429, 6459])).
% 218.26/140.81 tff(16431,plain,
% 218.26/140.81 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0))))))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16432,plain,
% 218.26/140.81 ((v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 0)) | (~v84(constB57, 2))))) <=> (v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0)))))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16433,plain,
% 218.26/140.81 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 0)) | (~v84(constB57, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0))))))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[16432])).
% 218.26/140.81 tff(16434,plain,
% 218.26/140.81 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 0)) | (~v84(constB57, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0))))))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16433, 16431])).
% 218.26/140.81 tff(16435,plain,
% 218.26/140.81 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 0)) | (~v84(constB57, 2)))))),
% 218.26/140.81 inference(quant_inst,[status(thm)],[])).
% 218.26/140.81 tff(16436,plain,
% 218.26/140.81 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0)))))),
% 218.26/140.81 inference(modus_ponens,[status(thm)],[16435, 16434])).
% 218.26/140.81 tff(16437,plain,
% 218.26/140.81 (v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0))))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16436, 394])).
% 218.26/140.81 tff(16438,plain,
% 218.26/140.81 ((v109(constB57) | v118(constB57)) | (~v118(constB57))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16439,plain,
% 218.26/140.81 (~v118(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16438, 15313])).
% 218.26/140.81 tff(16440,plain,
% 218.26/140.81 ((~(v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0)))))) | v118(constB57) | (v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0)))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16441,plain,
% 218.26/140.81 ((~(v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0)))))) | (v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16440, 16439])).
% 218.26/140.81 tff(16442,plain,
% 218.26/140.81 (v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16441, 16437])).
% 218.26/140.81 tff(16443,assumption,(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0))), introduced(assumption)).
% 218.26/140.81 tff(16444,assumption,(v84(constB57, 0)), introduced(assumption)).
% 218.26/140.81 tff(16445,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))), introduced(assumption)).
% 218.26/140.81 tff(16446,plain,
% 218.26/140.81 (v84(constB58, 2) <=> v84(constB57, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16365, 16445])).
% 218.26/140.81 tff(16447,plain,
% 218.26/140.81 ((~(v124(constB59, 1) <=> b100(1))) | (~v124(constB59, 1)) | b100(1)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16448,plain,
% 218.26/140.81 (~(v124(constB59, 1) <=> b100(1))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16447, 2274, 7956])).
% 218.26/140.81 tff(16449,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 1) <=> b100(1)))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16450,plain,
% 218.26/140.81 (($false | $false | (v124(constB59, 1) <=> b100(1))) <=> (v124(constB59, 1) <=> b100(1))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16451,plain,
% 218.26/140.81 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b100(1))) <=> ($false | $false | (v124(constB59, 1) <=> b100(1)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[402, 401])).
% 218.26/140.81 tff(16452,plain,
% 218.26/140.81 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b100(1))) <=> (v124(constB59, 1) <=> b100(1))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16451, 16450])).
% 218.26/140.81 tff(16453,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 1) <=> b100(1)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[16452])).
% 218.26/140.81 tff(16454,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 1) <=> b100(1)))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16453, 16449])).
% 218.26/140.81 tff(16455,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b100(1)))),
% 218.26/140.81 inference(quant_inst,[status(thm)],[])).
% 218.26/140.81 tff(16456,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (v124(constB59, 1) <=> b100(1))),
% 218.26/140.81 inference(modus_ponens,[status(thm)],[16455, 16454])).
% 218.26/140.81 tff(16457,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16456, 7973, 16448])).
% 218.26/140.81 tff(16458,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))) | (~v124(constB59, 1))), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16459,plain,
% 218.26/140.81 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16458, 7956])).
% 218.26/140.81 tff(16460,assumption,(v116(constB59)), introduced(assumption)).
% 218.26/140.81 tff(16461,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))), introduced(assumption)).
% 218.26/140.81 tff(16462,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[7744, 2230, 16461, 16460])).
% 218.26/140.81 tff(16463,plain,((~v116(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16464,plain,
% 218.26/140.81 (~v116(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16463, 16459])).
% 218.26/140.81 tff(16465,plain,
% 218.26/140.81 ((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[6592, 16464, 6589])).
% 218.26/140.81 tff(16466,plain,
% 218.26/140.81 (v84(constB59, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[6602, 16465, 6596, 6597])).
% 218.26/140.81 tff(16467,assumption,(~(v84(constB59, 2) <=> v84(constB58, 2))), introduced(assumption)).
% 218.26/140.81 tff(16468,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16324, 16291, 16467])).
% 218.26/140.81 tff(16469,plain,(v84(constB59, 2) <=> v84(constB58, 2)), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16470,plain,
% 218.26/140.81 ((~(v84(constB59, 2) <=> v84(constB58, 2))) | (~v84(constB59, 2)) | v84(constB58, 2)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16471,plain,
% 218.26/140.81 ((~v84(constB59, 2)) | v84(constB58, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16470, 16469])).
% 218.26/140.81 tff(16472,plain,
% 218.26/140.81 (v84(constB58, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16471, 16466])).
% 218.26/140.81 tff(16473,plain,
% 218.26/140.81 ((~(v84(constB58, 2) <=> v84(constB57, 2))) | (~v84(constB58, 2)) | v84(constB57, 2)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16474,plain,
% 218.26/140.81 ((~(v84(constB58, 2) <=> v84(constB57, 2))) | v84(constB57, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16473, 16472])).
% 218.26/140.81 tff(16475,plain,
% 218.26/140.81 (v84(constB57, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16474, 16446])).
% 218.26/140.81 tff(16476,plain,
% 218.26/140.81 (v84(constB58, 1) <=> v84(constB57, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16081, 16445])).
% 218.26/140.81 tff(16477,plain,
% 218.26/140.81 ((~(v124(constB59, 1) <=> b001(1))) | (~v124(constB59, 1)) | b001(1)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16478,plain,
% 218.26/140.81 (~(v124(constB59, 1) <=> b001(1))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16477, 1885, 7956])).
% 218.26/140.81 tff(16479,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 1) <=> b001(1)))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16480,plain,
% 218.26/140.81 (($false | $false | (v124(constB59, 1) <=> b001(1))) <=> (v124(constB59, 1) <=> b001(1))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16481,plain,
% 218.26/140.81 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b001(1))) <=> ($false | $false | (v124(constB59, 1) <=> b001(1)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[402, 401])).
% 218.26/140.81 tff(16482,plain,
% 218.26/140.81 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b001(1))) <=> (v124(constB59, 1) <=> b001(1))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16481, 16480])).
% 218.26/140.81 tff(16483,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 1) <=> b001(1)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[16482])).
% 218.26/140.81 tff(16484,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 1) <=> b001(1)))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16483, 16479])).
% 218.26/140.81 tff(16485,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b001(1)))),
% 218.26/140.81 inference(quant_inst,[status(thm)],[])).
% 218.26/140.81 tff(16486,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (v124(constB59, 1) <=> b001(1))),
% 218.26/140.81 inference(modus_ponens,[status(thm)],[16485, 16484])).
% 218.26/140.81 tff(16487,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16486, 7668, 16478])).
% 218.26/140.81 tff(16488,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))) | (~v124(constB59, 1))), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16489,plain,
% 218.26/140.81 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16488, 7956])).
% 218.26/140.81 tff(16490,plain,
% 218.26/140.81 (~v114(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16401, 6597])).
% 218.26/140.81 tff(16491,plain,
% 218.26/140.81 ((v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2))) | (~v84(constB59, 0))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16492,plain,
% 218.26/140.81 (v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16491, 6596])).
% 218.26/140.81 tff(16493,plain,
% 218.26/140.81 ((~(v117(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2)))))) | (~v117(constB59)) | (~(v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2))))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16494,plain,
% 218.26/140.81 ((~(v117(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2)))))) | (~v117(constB59))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16493, 16492])).
% 218.26/140.81 tff(16495,plain,
% 218.26/140.81 (~v117(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16494, 6545])).
% 218.26/140.81 tff(16496,plain,
% 218.26/140.81 (v84(constB59, 0) | v84(constB59, 1) | v84(constB59, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16403, 6596])).
% 218.26/140.81 tff(16497,plain,
% 218.26/140.81 (~v113(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16409, 16496])).
% 218.26/140.81 tff(16498,plain,
% 218.26/140.81 (v84(constB59, 0) | (~v84(constB59, 1)) | v84(constB59, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16305, 6596])).
% 218.26/140.81 tff(16499,plain,
% 218.26/140.81 (~v115(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16307, 16498, 16085])).
% 218.26/140.81 tff(16500,plain,
% 218.26/140.81 (v118(constB59) | v116(constB59) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b001(B)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[7736, 1807, 16499, 16497, 16495, 16490])).
% 218.26/140.81 tff(16501,plain,
% 218.26/140.81 (v118(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16500, 16464, 16489])).
% 218.26/140.81 tff(16502,plain,
% 218.26/140.81 ((~(v118(constB59) <=> (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0)))))) | (~v118(constB59)) | (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0))))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16503,plain,
% 218.26/140.81 (~(v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16502, 16501, 6457])).
% 218.26/140.81 tff(16504,plain,
% 218.26/140.81 ((v84(constB59, 1) | (~v84(constB59, 2)) | (~v84(constB59, 0))) | (~v84(constB59, 1))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16505,plain,
% 218.26/140.81 (~v84(constB59, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16504, 16503])).
% 218.26/140.81 tff(16506,assumption,(~(v84(constB59, 1) <=> v84(constB58, 1))), introduced(assumption)).
% 218.26/140.81 tff(16507,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16338, 16291, 16506])).
% 218.26/140.81 tff(16508,plain,(v84(constB59, 1) <=> v84(constB58, 1)), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16509,plain,
% 218.26/140.81 (v84(constB59, 1) | (~v84(constB58, 1))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16342, 16508])).
% 218.26/140.81 tff(16510,plain,
% 218.26/140.81 (~v84(constB58, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16509, 16505])).
% 218.26/140.81 tff(16511,plain,
% 218.26/140.81 ((~(v84(constB58, 1) <=> v84(constB57, 1))) | (~v84(constB57, 1))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16355, 16510])).
% 218.26/140.81 tff(16512,plain,
% 218.26/140.81 (~v84(constB57, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16511, 16476])).
% 218.26/140.81 tff(16513,plain,
% 218.26/140.81 ((~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0)))) | v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16514,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16513, 16512, 16475, 16444, 16443])).
% 218.26/140.81 tff(16515,plain,((~v124(constB59, 1)) | (~v84(constB57, 0)) | (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v84(constB57, B)))) | (~v84(constB59, 0)) | (~(v84(constB59, 1) | v84(constB59, 2) | (~v84(constB59, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16516,plain,
% 218.26/140.81 (~v124(constB59, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16515, 16017, 16442, 16073, 16304, 16400])).
% 218.26/140.81 tff(16517,plain,
% 218.26/140.81 ((~(v124(constB59, 1) <=> b110(1))) | v124(constB59, 1) | (~b110(1))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16518,plain,
% 218.26/140.81 (~(v124(constB59, 1) <=> b110(1))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16517, 1662, 7701])).
% 218.26/140.81 tff(16519,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 1) <=> b110(1)))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16520,plain,
% 218.26/140.81 (($false | $false | (v124(constB59, 1) <=> b110(1))) <=> (v124(constB59, 1) <=> b110(1))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16521,plain,
% 218.26/140.81 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b110(1))) <=> ($false | $false | (v124(constB59, 1) <=> b110(1)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[402, 401])).
% 218.26/140.81 tff(16522,plain,
% 218.26/140.81 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b110(1))) <=> (v124(constB59, 1) <=> b110(1))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16521, 16520])).
% 218.26/140.81 tff(16523,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 1) <=> b110(1)))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[16522])).
% 218.26/140.81 tff(16524,plain,
% 218.26/140.81 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 1) <=> b110(1)))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16523, 16519])).
% 218.26/140.81 tff(16525,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB59, 1) <=> b110(1)))),
% 218.26/140.81 inference(quant_inst,[status(thm)],[])).
% 218.26/140.81 tff(16526,plain,
% 218.26/140.81 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | (v124(constB59, 1) <=> b110(1))),
% 218.26/140.81 inference(modus_ponens,[status(thm)],[16525, 16524])).
% 218.26/140.81 tff(16527,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16526, 7584, 16518])).
% 218.26/140.81 tff(16528,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))) | v124(constB59, 1)), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16529,plain,
% 218.26/140.81 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16528, 16516])).
% 218.26/140.81 tff(16530,assumption,(v118(constB59)), introduced(assumption)).
% 218.26/140.81 tff(16531,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))), introduced(assumption)).
% 218.26/140.81 tff(16532,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[7601, 1977, 16531, 16530])).
% 218.26/140.81 tff(16533,plain,((~v118(constB59)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16534,plain,
% 218.26/140.81 (~v118(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16533, 16529])).
% 218.26/140.81 tff(16535,plain,
% 218.26/140.81 ((~(v109(constB59) | v118(constB59))) | v109(constB59) | v118(constB59)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16536,plain,
% 218.26/140.81 (v109(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16535, 16534, 16430])).
% 218.26/140.81 tff(16537,plain,
% 218.26/140.81 ((~(v109(constB59) <=> (v110(constB59) | v117(constB59)))) | (~v109(constB59)) | (v110(constB59) | v117(constB59))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16538,plain,
% 218.26/140.81 (v110(constB59) | v117(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16537, 16536, 6506])).
% 218.26/140.81 tff(16539,plain,
% 218.26/140.81 (v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16491, 16304])).
% 218.26/140.81 tff(16540,plain,
% 218.26/140.81 ((~(v117(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 1) | (~v84(constB59, 2)))))) | (~v117(constB59))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16493, 16539])).
% 218.26/140.81 tff(16541,plain,
% 218.26/140.81 (~v117(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16540, 6545])).
% 218.26/140.81 tff(16542,plain,
% 218.26/140.81 ((~(v110(constB59) | v117(constB59))) | v110(constB59) | v117(constB59)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16543,plain,
% 218.26/140.81 ((~(v110(constB59) | v117(constB59))) | v110(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16542, 16541])).
% 218.26/140.81 tff(16544,plain,
% 218.26/140.81 (v110(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16543, 16538])).
% 218.26/140.81 tff(16545,plain,
% 218.26/140.81 ((~(v110(constB59) <=> (v111(constB59) | v116(constB59)))) | (~v110(constB59)) | (v111(constB59) | v116(constB59))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16546,plain,
% 218.26/140.81 (v111(constB59) | v116(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16545, 16544, 6504])).
% 218.26/140.81 tff(16547,plain,
% 218.26/140.81 ((~(v111(constB59) | v116(constB59))) | v111(constB59) | v116(constB59)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16548,plain,
% 218.26/140.81 (v116(constB59)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16547, 16546, 16419])).
% 218.26/140.81 tff(16549,plain,
% 218.26/140.81 ((~(v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))))) | (~v116(constB59)) | (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16550,plain,
% 218.26/140.81 (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16549, 16548, 6589])).
% 218.26/140.81 tff(16551,plain,
% 218.26/140.81 (((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))) | v84(constB59, 1)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16552,plain,
% 218.26/140.81 (v84(constB59, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16551, 16550])).
% 218.26/140.81 tff(16553,plain,
% 218.26/140.81 ((~(v84(constB59, 1) <=> v84(constB58, 1))) | (~v84(constB59, 1)) | v84(constB58, 1)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16554,plain,
% 218.26/140.81 ((~v84(constB59, 1)) | v84(constB58, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16553, 16508])).
% 218.26/140.81 tff(16555,plain,
% 218.26/140.81 (v84(constB58, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16554, 16552])).
% 218.26/140.81 tff(16556,plain,
% 218.26/140.81 ((~(v84(constB58, 1) <=> v84(constB57, 1))) | (~v84(constB58, 1)) | v84(constB57, 1)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16557,plain,
% 218.26/140.81 ((~(v84(constB58, 1) <=> v84(constB57, 1))) | v84(constB57, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16556, 16555])).
% 218.26/140.81 tff(16558,plain,
% 218.26/140.81 (v84(constB57, 1)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16557, 16082])).
% 218.26/140.81 tff(16559,plain,
% 218.26/140.81 (v84(constB58, 2) <=> v84(constB57, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16365, 16073])).
% 218.26/140.81 tff(16560,plain,
% 218.26/140.81 (((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))) | (~v84(constB59, 2))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16561,plain,
% 218.26/140.81 (~v84(constB59, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16560, 16550])).
% 218.26/140.81 tff(16562,plain,
% 218.26/140.81 (v84(constB59, 2) | (~v84(constB58, 2))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16328, 16469])).
% 218.26/140.81 tff(16563,plain,
% 218.26/140.81 (~v84(constB58, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16562, 16561])).
% 218.26/140.81 tff(16564,plain,
% 218.26/140.81 ((~(v84(constB58, 2) <=> v84(constB57, 2))) | (~v84(constB57, 2))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16368, 16563])).
% 218.26/140.81 tff(16565,plain,
% 218.26/140.81 (~v84(constB57, 2)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16564, 16559])).
% 218.26/140.81 tff(16566,plain,
% 218.26/140.81 ((~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0)))) | (~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16567,plain,
% 218.26/140.81 ($false),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16566, 16565, 16558, 16017, 15328])).
% 218.26/140.81 tff(16568,plain,((v108(constB57) | v119(constB57)) | (~(v108(constB59) | v119(constB59)))), inference(lemma,lemma(discharge,[]))).
% 218.26/140.81 tff(16569,plain,
% 218.26/140.81 (v108(constB57) | v119(constB57)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16568, 15292])).
% 218.26/140.81 tff(16570,plain,
% 218.26/140.81 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16571,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54')).
% 218.26/140.81 tff(16572,plain,
% 218.26/140.81 (nextState(constB54, constB55)),
% 218.26/140.81 inference(modus_ponens,[status(thm)],[16571, 16570])).
% 218.26/140.81 tff(16573,plain,
% 218.26/140.81 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55))))))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16574,plain,
% 218.26/140.81 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55))))))),
% 218.26/140.81 inference(quant_inst,[status(thm)],[])).
% 218.26/140.81 tff(16575,plain,
% 218.26/140.81 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55)))))),
% 218.26/140.81 inference(modus_ponens,[status(thm)],[16574, 16573])).
% 218.26/140.81 tff(16576,plain,
% 218.26/140.81 (v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55))))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16575, 16572, 14])).
% 218.26/140.81 tff(16577,plain,
% 218.26/140.81 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16578,plain,
% 218.26/140.81 (((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55)))))) <=> ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16579,plain,
% 218.26/140.81 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))))),
% 218.26/140.81 inference(monotonicity,[status(thm)],[16578])).
% 218.26/140.81 tff(16580,plain,
% 218.26/140.81 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))),
% 218.26/140.81 inference(transitivity,[status(thm)],[16579, 16577])).
% 218.26/140.81 tff(16581,plain,
% 218.26/140.81 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55))))))),
% 218.26/140.81 inference(quant_inst,[status(thm)],[])).
% 218.26/140.81 tff(16582,plain,
% 218.26/140.81 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))),
% 218.26/140.81 inference(modus_ponens,[status(thm)],[16581, 16580])).
% 218.26/140.81 tff(16583,plain,
% 218.26/140.81 (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16582, 16572, 37])).
% 218.26/140.81 tff(16584,plain,
% 218.26/140.81 (((~v1(constB55)) | (~v96(constB55))) | v1(constB55)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16585,plain,
% 218.26/140.81 ((~v1(constB55)) | (~v96(constB55))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16584, 15907])).
% 218.26/140.81 tff(16586,plain,
% 218.26/140.81 ((~(v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))) | (~v95(constB55)) | (~((~v1(constB55)) | (~v96(constB55))))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16587,plain,
% 218.26/140.81 ((~(v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))) | (~v95(constB55))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16586, 16585])).
% 218.26/140.81 tff(16588,plain,
% 218.26/140.81 (~v95(constB55)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16587, 16583])).
% 218.26/140.81 tff(16589,plain,
% 218.26/140.81 (((~v95(constB55)) | (~v104(constB55))) | v95(constB55)),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16590,plain,
% 218.26/140.81 ((~v95(constB55)) | (~v104(constB55))),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16589, 16588])).
% 218.26/140.81 tff(16591,plain,
% 218.26/140.81 ((~(v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55)))))) | (~v94(constB55)) | (~((~v95(constB55)) | (~v104(constB55))))),
% 218.26/140.81 inference(tautology,[status(thm)],[])).
% 218.26/140.81 tff(16592,plain,
% 218.26/140.81 (~v94(constB55)),
% 218.26/140.81 inference(unit_resolution,[status(thm)],[16591, 16590, 16576])).
% 218.26/140.81 tff(16593,plain,
% 218.26/140.81 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB55) | (~nextState(constB54, constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB55) | (~nextState(constB54, constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B))))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16594,plain,
% 218.26/140.81 ((v94(constB55) | (~nextState(constB54, constB55)) | ![B: $int] : ((v84(constB55, B) <=> v84(constB54, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB55) | (~nextState(constB54, constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B))))),
% 218.26/140.81 inference(rewrite,[status(thm)],[])).
% 218.26/140.81 tff(16595,plain,
% 218.26/140.81 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB55) | (~nextState(constB54, constB55)) | ![B: $int] : ((v84(constB55, B) <=> v84(constB54, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB55) | (~nextState(constB54, constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))))),
% 218.26/140.82 inference(monotonicity,[status(thm)],[16594])).
% 218.26/140.82 tff(16596,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB55) | (~nextState(constB54, constB55)) | ![B: $int] : ((v84(constB55, B) <=> v84(constB54, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB55) | (~nextState(constB54, constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B))))),
% 218.26/140.82 inference(transitivity,[status(thm)],[16595, 16593])).
% 218.26/140.82 tff(16597,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB55) | (~nextState(constB54, constB55)) | ![B: $int] : ((v84(constB55, B) <=> v84(constB54, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16598,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB55) | (~nextState(constB54, constB55)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16597, 16596])).
% 218.26/140.82 tff(16599,plain,
% 218.26/140.82 (v94(constB55) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16598, 16572, 235])).
% 218.26/140.82 tff(16600,plain,
% 218.26/140.82 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16599, 16592])).
% 218.26/140.82 tff(16601,plain,
% 218.26/140.82 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 1) <=> v84(constB54, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 1) <=> v84(constB54, 1)))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16602,plain,
% 218.26/140.82 (($false | $false | (v84(constB55, 1) <=> v84(constB54, 1))) <=> (v84(constB55, 1) <=> v84(constB54, 1))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16603,plain,
% 218.26/140.82 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB55, 1) <=> v84(constB54, 1))) <=> ($false | $false | (v84(constB55, 1) <=> v84(constB54, 1)))),
% 218.26/140.82 inference(monotonicity,[status(thm)],[402, 401])).
% 218.26/140.82 tff(16604,plain,
% 218.26/140.82 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB55, 1) <=> v84(constB54, 1))) <=> (v84(constB55, 1) <=> v84(constB54, 1))),
% 218.26/140.82 inference(transitivity,[status(thm)],[16603, 16602])).
% 218.26/140.82 tff(16605,plain,
% 218.26/140.82 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB55, 1) <=> v84(constB54, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 1) <=> v84(constB54, 1)))),
% 218.26/140.82 inference(monotonicity,[status(thm)],[16604])).
% 218.26/140.82 tff(16606,plain,
% 218.26/140.82 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB55, 1) <=> v84(constB54, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 1) <=> v84(constB54, 1)))),
% 218.26/140.82 inference(transitivity,[status(thm)],[16605, 16601])).
% 218.26/140.82 tff(16607,plain,
% 218.26/140.82 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB55, 1) <=> v84(constB54, 1)))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16608,plain,
% 218.26/140.82 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 1) <=> v84(constB54, 1))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16607, 16606])).
% 218.26/140.82 tff(16609,plain,
% 218.26/140.82 (v84(constB55, 1) <=> v84(constB54, 1)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16608, 16600])).
% 218.26/140.82 tff(16610,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB53) <=> (v108(constB53) | v119(constB53)))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16611,plain,
% 218.26/140.82 (v107(constB53) <=> (v108(constB53) | v119(constB53))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16610, 187])).
% 218.26/140.82 tff(16612,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB53) <=> (~(v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2)))))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16613,plain,
% 218.26/140.82 (v119(constB53) <=> (~(v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2))))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16612, 318])).
% 218.26/140.82 tff(16614,plain,
% 218.26/140.82 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16615,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52')).
% 218.26/140.82 tff(16616,plain,
% 218.26/140.82 (nextState(constB52, constB53)),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16615, 16614])).
% 218.26/140.82 tff(16617,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53))))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16618,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53))))))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16619,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53)))))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16618, 16617])).
% 218.26/140.82 tff(16620,plain,
% 218.26/140.82 (v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53))))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16619, 16616, 14])).
% 218.26/140.82 tff(16621,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16622,plain,
% 218.26/140.82 (((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53)))))) <=> ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16623,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))))),
% 218.26/140.82 inference(monotonicity,[status(thm)],[16622])).
% 218.26/140.82 tff(16624,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))),
% 218.26/140.82 inference(transitivity,[status(thm)],[16623, 16621])).
% 218.26/140.82 tff(16625,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53))))))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16626,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16625, 16624])).
% 218.26/140.82 tff(16627,plain,
% 218.26/140.82 (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16626, 16616, 37])).
% 218.26/140.82 tff(16628,plain,
% 218.26/140.82 ((~v1(constB53)) <=> (~v1(constB53))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16629,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53')).
% 218.26/140.82 tff(16630,plain,
% 218.26/140.82 (~v1(constB53)),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16629, 16628])).
% 218.26/140.82 tff(16631,plain,
% 218.26/140.82 (((~v1(constB53)) | (~v96(constB53))) | v1(constB53)),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16632,plain,
% 218.26/140.82 ((~v1(constB53)) | (~v96(constB53))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16631, 16630])).
% 218.26/140.82 tff(16633,plain,
% 218.26/140.82 ((~(v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))) | (~v95(constB53)) | (~((~v1(constB53)) | (~v96(constB53))))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16634,plain,
% 218.26/140.82 ((~(v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))) | (~v95(constB53))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16633, 16632])).
% 218.26/140.82 tff(16635,plain,
% 218.26/140.82 (~v95(constB53)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16634, 16627])).
% 218.26/140.82 tff(16636,plain,
% 218.26/140.82 (((~v95(constB53)) | (~v104(constB53))) | v95(constB53)),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16637,plain,
% 218.26/140.82 ((~v95(constB53)) | (~v104(constB53))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16636, 16635])).
% 218.26/140.82 tff(16638,plain,
% 218.26/140.82 ((~(v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53)))))) | (~v94(constB53)) | (~((~v95(constB53)) | (~v104(constB53))))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16639,plain,
% 218.26/140.82 (~v94(constB53)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16638, 16637, 16620])).
% 218.26/140.82 tff(16640,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB53) | (~nextState(constB52, constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB53) | (~nextState(constB52, constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16641,plain,
% 218.26/140.82 ((v94(constB53) | (~nextState(constB52, constB53)) | ![B: $int] : ((v84(constB53, B) <=> v84(constB52, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB53) | (~nextState(constB52, constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16642,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB53) | (~nextState(constB52, constB53)) | ![B: $int] : ((v84(constB53, B) <=> v84(constB52, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB53) | (~nextState(constB52, constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))))),
% 218.26/140.82 inference(monotonicity,[status(thm)],[16641])).
% 218.26/140.82 tff(16643,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB53) | (~nextState(constB52, constB53)) | ![B: $int] : ((v84(constB53, B) <=> v84(constB52, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB53) | (~nextState(constB52, constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B))))),
% 218.26/140.82 inference(transitivity,[status(thm)],[16642, 16640])).
% 218.26/140.82 tff(16644,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB53) | (~nextState(constB52, constB53)) | ![B: $int] : ((v84(constB53, B) <=> v84(constB52, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16645,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB53) | (~nextState(constB52, constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16644, 16643])).
% 218.26/140.82 tff(16646,plain,
% 218.26/140.82 (v94(constB53) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16645, 16616, 235])).
% 218.26/140.82 tff(16647,plain,
% 218.26/140.82 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16646, 16639])).
% 218.26/140.82 tff(16648,plain,
% 218.26/140.82 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 0) <=> v84(constB52, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 0) <=> v84(constB52, 0)))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16649,plain,
% 218.26/140.82 (($false | $false | (v84(constB53, 0) <=> v84(constB52, 0))) <=> (v84(constB53, 0) <=> v84(constB52, 0))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16650,plain,
% 218.26/140.82 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB53, 0) <=> v84(constB52, 0))) <=> ($false | $false | (v84(constB53, 0) <=> v84(constB52, 0)))),
% 218.26/140.82 inference(monotonicity,[status(thm)],[250, 249])).
% 218.26/140.82 tff(16651,plain,
% 218.26/140.82 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB53, 0) <=> v84(constB52, 0))) <=> (v84(constB53, 0) <=> v84(constB52, 0))),
% 218.26/140.82 inference(transitivity,[status(thm)],[16650, 16649])).
% 218.26/140.82 tff(16652,plain,
% 218.26/140.82 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB53, 0) <=> v84(constB52, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 0) <=> v84(constB52, 0)))),
% 218.26/140.82 inference(monotonicity,[status(thm)],[16651])).
% 218.26/140.82 tff(16653,plain,
% 218.26/140.82 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB53, 0) <=> v84(constB52, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 0) <=> v84(constB52, 0)))),
% 218.26/140.82 inference(transitivity,[status(thm)],[16652, 16648])).
% 218.26/140.82 tff(16654,plain,
% 218.26/140.82 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB53, 0) <=> v84(constB52, 0)))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16655,plain,
% 218.26/140.82 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 0) <=> v84(constB52, 0))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16654, 16653])).
% 218.26/140.82 tff(16656,plain,
% 218.26/140.82 (v84(constB53, 0) <=> v84(constB52, 0)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16655, 16647])).
% 218.26/140.82 tff(16657,plain,
% 218.26/140.82 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB51) <=> (~((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB51) <=> (~((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0)))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16658,plain,
% 218.26/140.82 ((v119(constB51) <=> (~(v84(constB51, 0) | (~v84(constB51, 1)) | (~v84(constB51, 2))))) <=> (v119(constB51) <=> (~((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16659,plain,
% 218.26/140.82 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB51) <=> (~(v84(constB51, 0) | (~v84(constB51, 1)) | (~v84(constB51, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB51) <=> (~((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0)))))),
% 218.26/140.82 inference(monotonicity,[status(thm)],[16658])).
% 218.26/140.82 tff(16660,plain,
% 218.26/140.82 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB51) <=> (~(v84(constB51, 0) | (~v84(constB51, 1)) | (~v84(constB51, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB51) <=> (~((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0)))))),
% 218.26/140.82 inference(transitivity,[status(thm)],[16659, 16657])).
% 218.26/140.82 tff(16661,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB51) <=> (~(v84(constB51, 0) | (~v84(constB51, 1)) | (~v84(constB51, 2)))))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16662,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB51) <=> (~((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0))))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16661, 16660])).
% 218.26/140.82 tff(16663,plain,
% 218.26/140.82 (v119(constB51) <=> (~((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16662, 318])).
% 218.26/140.82 tff(16664,plain,
% 218.26/140.82 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2))))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16665,plain,
% 218.26/140.82 ((v117(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 1) | (~v84(constB49, 2))))) <=> (v117(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16666,plain,
% 218.26/140.82 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 1) | (~v84(constB49, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2))))))),
% 218.26/140.82 inference(monotonicity,[status(thm)],[16665])).
% 218.26/140.82 tff(16667,plain,
% 218.26/140.82 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 1) | (~v84(constB49, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2))))))),
% 218.26/140.82 inference(transitivity,[status(thm)],[16666, 16664])).
% 218.26/140.82 tff(16668,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 1) | (~v84(constB49, 2)))))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16669,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16668, 16667])).
% 218.26/140.82 tff(16670,plain,
% 218.26/140.82 (v117(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2))))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16669, 656])).
% 218.26/140.82 tff(16671,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB49) <=> (v110(constB49) | v117(constB49)))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16672,plain,
% 218.26/140.82 (v109(constB49) <=> (v110(constB49) | v117(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16671, 456])).
% 218.26/140.82 tff(16673,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB49) <=> (v109(constB49) | v118(constB49)))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16674,plain,
% 218.26/140.82 (v108(constB49) <=> (v109(constB49) | v118(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16673, 428])).
% 218.26/140.82 tff(16675,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB49) <=> (v108(constB49) | v119(constB49)))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16676,plain,
% 218.26/140.82 (v107(constB49) <=> (v108(constB49) | v119(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16675, 187])).
% 218.26/140.82 tff(16677,assumption,(~v94(constB50)), introduced(assumption)).
% 218.26/140.82 tff(16678,plain,
% 218.26/140.82 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16679,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49')).
% 218.26/140.82 tff(16680,plain,
% 218.26/140.82 (nextState(constB49, constB50)),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16679, 16678])).
% 218.26/140.82 tff(16681,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50))))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16682,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50))))))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16683,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50)))))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16682, 16681])).
% 218.26/140.82 tff(16684,plain,
% 218.26/140.82 (v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50))))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16683, 16680, 14])).
% 218.26/140.82 tff(16685,plain,
% 218.26/140.82 ((~(v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50)))))) | v94(constB50) | ((~v95(constB50)) | (~v104(constB50)))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16686,plain,
% 218.26/140.82 (v94(constB50) | ((~v95(constB50)) | (~v104(constB50)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16685, 16684])).
% 218.26/140.82 tff(16687,plain,
% 218.26/140.82 ((~v95(constB50)) | (~v104(constB50))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16686, 16677])).
% 218.26/140.82 tff(16688,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16689,plain,
% 218.26/140.82 (((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50)))))) <=> ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16690,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50)))))))),
% 218.26/140.82 inference(monotonicity,[status(thm)],[16689])).
% 218.26/140.82 tff(16691,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))),
% 218.26/140.82 inference(transitivity,[status(thm)],[16690, 16688])).
% 218.26/140.82 tff(16692,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50))))))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16693,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50)))))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16692, 16691])).
% 218.26/140.82 tff(16694,plain,
% 218.26/140.82 (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16693, 16680, 37])).
% 218.26/140.82 tff(16695,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50)))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16696,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50)))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16697,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16696, 16695])).
% 218.26/140.82 tff(16698,plain,
% 218.26/140.82 ((~v96(constB50)) <=> v98(constB50)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16697, 16680, 54])).
% 218.26/140.82 tff(16699,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49)))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16700,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49)))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16701,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16700, 16699])).
% 218.26/140.82 tff(16702,plain,
% 218.26/140.82 (v98(constB50) <=> v1(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16701, 16680, 68])).
% 218.26/140.82 tff(16703,plain,
% 218.26/140.82 ((~v1(constB49)) <=> (~v1(constB49))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16704,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49')).
% 218.26/140.82 tff(16705,plain,
% 218.26/140.82 (~v1(constB49)),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16704, 16703])).
% 218.26/140.82 tff(16706,plain,
% 218.26/140.82 ((~(v98(constB50) <=> v1(constB49))) | (~v98(constB50)) | v1(constB49)),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16707,plain,
% 218.26/140.82 ((~(v98(constB50) <=> v1(constB49))) | (~v98(constB50))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16706, 16705])).
% 218.26/140.82 tff(16708,plain,
% 218.26/140.82 (~v98(constB50)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16707, 16702])).
% 218.26/140.82 tff(16709,plain,
% 218.26/140.82 ((~((~v96(constB50)) <=> v98(constB50))) | v96(constB50) | v98(constB50)),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16710,plain,
% 218.26/140.82 (v96(constB50)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16709, 16708, 16698])).
% 218.26/140.82 tff(16711,plain,
% 218.26/140.82 (v1(constB50) <=> v1(constB50)),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16712,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50')).
% 218.26/140.82 tff(16713,plain,
% 218.26/140.82 (v1(constB50)),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16712, 16711])).
% 218.26/140.82 tff(16714,plain,
% 218.26/140.82 ((~((~v1(constB50)) | (~v96(constB50)))) | (~v1(constB50)) | (~v96(constB50))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16715,plain,
% 218.26/140.82 ((~((~v1(constB50)) | (~v96(constB50)))) | (~v96(constB50))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16714, 16713])).
% 218.26/140.82 tff(16716,plain,
% 218.26/140.82 (~((~v1(constB50)) | (~v96(constB50)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16715, 16710])).
% 218.26/140.82 tff(16717,plain,
% 218.26/140.82 ((~(v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50)))))) | v95(constB50) | ((~v1(constB50)) | (~v96(constB50)))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16718,plain,
% 218.26/140.82 (v95(constB50)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16717, 16716, 16694])).
% 218.26/140.82 tff(16719,plain,
% 218.26/140.82 ((~((~v95(constB50)) | (~v104(constB50)))) | (~v95(constB50)) | (~v104(constB50))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16720,plain,
% 218.26/140.82 ((~((~v95(constB50)) | (~v104(constB50)))) | (~v104(constB50))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16719, 16718])).
% 218.26/140.82 tff(16721,plain,
% 218.26/140.82 (~v104(constB50)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16720, 16687])).
% 218.26/140.82 tff(16722,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49)))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16723,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49)))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16724,plain,
% 218.26/140.82 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49))),
% 218.26/140.82 inference(modus_ponens,[status(thm)],[16723, 16722])).
% 218.26/140.82 tff(16725,plain,
% 218.26/140.82 (v104(constB50) <=> v102(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16724, 16680, 101])).
% 218.26/140.82 tff(16726,plain,
% 218.26/140.82 ((~(v104(constB50) <=> v102(constB49))) | v104(constB50) | (~v102(constB49))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16727,plain,
% 218.26/140.82 (v104(constB50) | (~v102(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16726, 16725])).
% 218.26/140.82 tff(16728,plain,
% 218.26/140.82 (~v102(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16727, 16721])).
% 218.26/140.82 tff(16729,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB49) <=> (v105(constB49) | v106(constB49)))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16730,plain,
% 218.26/140.82 (v102(constB49) <=> (v105(constB49) | v106(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16729, 115])).
% 218.26/140.82 tff(16731,plain,
% 218.26/140.82 ((~(v102(constB49) <=> (v105(constB49) | v106(constB49)))) | v102(constB49) | (~(v105(constB49) | v106(constB49)))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16732,plain,
% 218.26/140.82 (v102(constB49) | (~(v105(constB49) | v106(constB49)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16731, 16730])).
% 218.26/140.82 tff(16733,plain,
% 218.26/140.82 (~(v105(constB49) | v106(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16732, 16728])).
% 218.26/140.82 tff(16734,plain,
% 218.26/140.82 ((v105(constB49) | v106(constB49)) | (~v106(constB49))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16735,plain,
% 218.26/140.82 (~v106(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16734, 16733])).
% 218.26/140.82 tff(16736,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB49) <=> (~((~v107(constB49)) | (~v120(constB49)))))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16737,plain,
% 218.26/140.82 (v106(constB49) <=> (~((~v107(constB49)) | (~v120(constB49))))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16736, 132])).
% 218.26/140.82 tff(16738,plain,
% 218.26/140.82 ((~(v106(constB49) <=> (~((~v107(constB49)) | (~v120(constB49)))))) | v106(constB49) | ((~v107(constB49)) | (~v120(constB49)))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16739,plain,
% 218.26/140.82 (v106(constB49) | ((~v107(constB49)) | (~v120(constB49)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16738, 16737])).
% 218.26/140.82 tff(16740,plain,
% 218.26/140.82 ((~v107(constB49)) | (~v120(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16739, 16735])).
% 218.26/140.82 tff(16741,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB49)) <=> v105(constB49))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16742,plain,
% 218.26/140.82 ((~v120(constB49)) <=> v105(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16741, 144])).
% 218.26/140.82 tff(16743,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB49) <=> v26(constB49))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16744,plain,
% 218.26/140.82 (v105(constB49) <=> v26(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16743, 156])).
% 218.26/140.82 tff(16745,plain,
% 218.26/140.82 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 218.26/140.82 inference(quant_inst,[status(thm)],[])).
% 218.26/140.82 tff(16746,plain,
% 218.26/140.82 (~v26(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16745, 168])).
% 218.26/140.82 tff(16747,plain,
% 218.26/140.82 ((~(v105(constB49) <=> v26(constB49))) | (~v105(constB49)) | v26(constB49)),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16748,plain,
% 218.26/140.82 ((~(v105(constB49) <=> v26(constB49))) | (~v105(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16747, 16746])).
% 218.26/140.82 tff(16749,plain,
% 218.26/140.82 (~v105(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16748, 16744])).
% 218.26/140.82 tff(16750,plain,
% 218.26/140.82 ((~((~v120(constB49)) <=> v105(constB49))) | v120(constB49) | v105(constB49)),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16751,plain,
% 218.26/140.82 ((~((~v120(constB49)) <=> v105(constB49))) | v120(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16750, 16749])).
% 218.26/140.82 tff(16752,plain,
% 218.26/140.82 (v120(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16751, 16742])).
% 218.26/140.82 tff(16753,plain,
% 218.26/140.82 ((~((~v107(constB49)) | (~v120(constB49)))) | (~v107(constB49)) | (~v120(constB49))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16754,plain,
% 218.26/140.82 ((~((~v107(constB49)) | (~v120(constB49)))) | (~v107(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16753, 16752])).
% 218.26/140.82 tff(16755,plain,
% 218.26/140.82 (~v107(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16754, 16740])).
% 218.26/140.82 tff(16756,plain,
% 218.26/140.82 ((~(v107(constB49) <=> (v108(constB49) | v119(constB49)))) | v107(constB49) | (~(v108(constB49) | v119(constB49)))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16757,plain,
% 218.26/140.82 ((~(v107(constB49) <=> (v108(constB49) | v119(constB49)))) | (~(v108(constB49) | v119(constB49)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16756, 16755])).
% 218.26/140.82 tff(16758,plain,
% 218.26/140.82 (~(v108(constB49) | v119(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16757, 16676])).
% 218.26/140.82 tff(16759,plain,
% 218.26/140.82 ((v108(constB49) | v119(constB49)) | (~v108(constB49))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16760,plain,
% 218.26/140.82 (~v108(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16759, 16758])).
% 218.26/140.82 tff(16761,plain,
% 218.26/140.82 ((~(v108(constB49) <=> (v109(constB49) | v118(constB49)))) | v108(constB49) | (~(v109(constB49) | v118(constB49)))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16762,plain,
% 218.26/140.82 ((~(v108(constB49) <=> (v109(constB49) | v118(constB49)))) | (~(v109(constB49) | v118(constB49)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16761, 16760])).
% 218.26/140.82 tff(16763,plain,
% 218.26/140.82 (~(v109(constB49) | v118(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16762, 16674])).
% 218.26/140.82 tff(16764,plain,
% 218.26/140.82 ((v109(constB49) | v118(constB49)) | (~v109(constB49))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16765,plain,
% 218.26/140.82 (~v109(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16764, 16763])).
% 218.26/140.82 tff(16766,plain,
% 218.26/140.82 ((~(v109(constB49) <=> (v110(constB49) | v117(constB49)))) | v109(constB49) | (~(v110(constB49) | v117(constB49)))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16767,plain,
% 218.26/140.82 ((~(v109(constB49) <=> (v110(constB49) | v117(constB49)))) | (~(v110(constB49) | v117(constB49)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16766, 16765])).
% 218.26/140.82 tff(16768,plain,
% 218.26/140.82 (~(v110(constB49) | v117(constB49))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16767, 16672])).
% 218.26/140.82 tff(16769,plain,
% 218.26/140.82 ((v110(constB49) | v117(constB49)) | (~v117(constB49))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16770,plain,
% 218.26/140.82 (~v117(constB49)),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16769, 16768])).
% 218.26/140.82 tff(16771,plain,
% 218.26/140.82 ((~(v117(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))))) | v117(constB49) | (v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))),
% 218.26/140.82 inference(tautology,[status(thm)],[])).
% 218.26/140.82 tff(16772,plain,
% 218.26/140.82 ((~(v117(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))))) | (v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16771, 16770])).
% 218.26/140.82 tff(16773,plain,
% 218.26/140.82 (v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2))),
% 218.26/140.82 inference(unit_resolution,[status(thm)],[16772, 16670])).
% 218.26/140.82 tff(16774,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB50) | (~nextState(constB49, constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB50) | (~nextState(constB49, constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16775,plain,
% 218.26/140.82 ((v94(constB50) | (~nextState(constB49, constB50)) | ![B: $int] : ((v84(constB50, B) <=> v84(constB49, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB50) | (~nextState(constB49, constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B))))),
% 218.26/140.82 inference(rewrite,[status(thm)],[])).
% 218.26/140.82 tff(16776,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB50) | (~nextState(constB49, constB50)) | ![B: $int] : ((v84(constB50, B) <=> v84(constB49, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB50) | (~nextState(constB49, constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))))),
% 218.26/140.82 inference(monotonicity,[status(thm)],[16775])).
% 218.26/140.82 tff(16777,plain,
% 218.26/140.82 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB50) | (~nextState(constB49, constB50)) | ![B: $int] : ((v84(constB50, B) <=> v84(constB49, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB50) | (~nextState(constB49, constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B))))),
% 218.26/140.83 inference(transitivity,[status(thm)],[16776, 16774])).
% 218.26/140.83 tff(16778,plain,
% 218.26/140.83 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB50) | (~nextState(constB49, constB50)) | ![B: $int] : ((v84(constB50, B) <=> v84(constB49, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.26/140.83 inference(quant_inst,[status(thm)],[])).
% 218.26/140.83 tff(16779,plain,
% 218.26/140.83 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB50) | (~nextState(constB49, constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))),
% 218.26/140.83 inference(modus_ponens,[status(thm)],[16778, 16777])).
% 218.26/140.83 tff(16780,plain,
% 218.26/140.83 (v94(constB50) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16779, 16680, 235])).
% 218.26/140.83 tff(16781,plain,
% 218.26/140.83 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16780, 16677])).
% 218.26/140.83 tff(16782,plain,
% 218.26/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 2) <=> v84(constB49, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 2) <=> v84(constB49, 2)))),
% 218.26/140.83 inference(rewrite,[status(thm)],[])).
% 218.26/140.83 tff(16783,plain,
% 218.26/140.83 (($false | $false | (v84(constB50, 2) <=> v84(constB49, 2))) <=> (v84(constB50, 2) <=> v84(constB49, 2))),
% 218.26/140.83 inference(rewrite,[status(thm)],[])).
% 218.26/140.83 tff(16784,plain,
% 218.26/140.83 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB50, 2) <=> v84(constB49, 2))) <=> ($false | $false | (v84(constB50, 2) <=> v84(constB49, 2)))),
% 218.26/140.83 inference(monotonicity,[status(thm)],[534, 533])).
% 218.26/140.83 tff(16785,plain,
% 218.26/140.83 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB50, 2) <=> v84(constB49, 2))) <=> (v84(constB50, 2) <=> v84(constB49, 2))),
% 218.26/140.83 inference(transitivity,[status(thm)],[16784, 16783])).
% 218.26/140.83 tff(16786,plain,
% 218.26/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB50, 2) <=> v84(constB49, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 2) <=> v84(constB49, 2)))),
% 218.26/140.83 inference(monotonicity,[status(thm)],[16785])).
% 218.26/140.83 tff(16787,plain,
% 218.26/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB50, 2) <=> v84(constB49, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 2) <=> v84(constB49, 2)))),
% 218.26/140.83 inference(transitivity,[status(thm)],[16786, 16782])).
% 218.26/140.83 tff(16788,plain,
% 218.26/140.83 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB50, 2) <=> v84(constB49, 2)))),
% 218.26/140.83 inference(quant_inst,[status(thm)],[])).
% 218.26/140.83 tff(16789,plain,
% 218.26/140.83 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 2) <=> v84(constB49, 2))),
% 218.26/140.83 inference(modus_ponens,[status(thm)],[16788, 16787])).
% 218.26/140.83 tff(16790,plain,
% 218.26/140.83 (v84(constB50, 2) <=> v84(constB49, 2)),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16789, 16781])).
% 218.26/140.83 tff(16791,plain,
% 218.26/140.83 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))))))),
% 218.26/140.83 inference(rewrite,[status(thm)],[])).
% 218.26/140.83 tff(16792,plain,
% 218.26/140.83 ((v115(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 2) | (~v84(constB49, 1))))) <=> (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))))),
% 218.26/140.83 inference(rewrite,[status(thm)],[])).
% 218.26/140.83 tff(16793,plain,
% 218.26/140.83 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 2) | (~v84(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))))))),
% 218.26/140.83 inference(monotonicity,[status(thm)],[16792])).
% 218.26/140.83 tff(16794,plain,
% 218.26/140.83 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 2) | (~v84(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))))))),
% 218.26/140.83 inference(transitivity,[status(thm)],[16793, 16791])).
% 218.26/140.83 tff(16795,plain,
% 218.26/140.83 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 2) | (~v84(constB49, 1)))))),
% 218.26/140.83 inference(quant_inst,[status(thm)],[])).
% 218.26/140.83 tff(16796,plain,
% 218.26/140.83 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))))),
% 218.26/140.83 inference(modus_ponens,[status(thm)],[16795, 16794])).
% 218.26/140.83 tff(16797,plain,
% 218.26/140.83 (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16796, 622])).
% 218.26/140.83 tff(16798,plain,
% 218.26/140.83 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB49) <=> (v112(constB49) | v115(constB49)))),
% 218.26/140.83 inference(quant_inst,[status(thm)],[])).
% 218.26/140.83 tff(16799,plain,
% 218.26/140.83 (v111(constB49) <=> (v112(constB49) | v115(constB49))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16798, 274])).
% 218.26/140.83 tff(16800,plain,
% 218.26/140.83 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB49) <=> (v111(constB49) | v116(constB49)))),
% 218.26/140.83 inference(quant_inst,[status(thm)],[])).
% 218.26/140.83 tff(16801,plain,
% 218.26/140.83 (v110(constB49) <=> (v111(constB49) | v116(constB49))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16800, 265])).
% 218.26/140.83 tff(16802,plain,
% 218.26/140.83 ((v110(constB49) | v117(constB49)) | (~v110(constB49))),
% 218.26/140.83 inference(tautology,[status(thm)],[])).
% 218.26/140.83 tff(16803,plain,
% 218.26/140.83 (~v110(constB49)),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16802, 16768])).
% 218.26/140.83 tff(16804,plain,
% 218.26/140.83 ((~(v110(constB49) <=> (v111(constB49) | v116(constB49)))) | v110(constB49) | (~(v111(constB49) | v116(constB49)))),
% 218.26/140.83 inference(tautology,[status(thm)],[])).
% 218.26/140.83 tff(16805,plain,
% 218.26/140.83 ((~(v110(constB49) <=> (v111(constB49) | v116(constB49)))) | (~(v111(constB49) | v116(constB49)))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16804, 16803])).
% 218.26/140.83 tff(16806,plain,
% 218.26/140.83 (~(v111(constB49) | v116(constB49))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16805, 16801])).
% 218.26/140.83 tff(16807,plain,
% 218.26/140.83 ((v111(constB49) | v116(constB49)) | (~v111(constB49))),
% 218.26/140.83 inference(tautology,[status(thm)],[])).
% 218.26/140.83 tff(16808,plain,
% 218.26/140.83 (~v111(constB49)),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16807, 16806])).
% 218.26/140.83 tff(16809,plain,
% 218.26/140.83 ((~(v111(constB49) <=> (v112(constB49) | v115(constB49)))) | v111(constB49) | (~(v112(constB49) | v115(constB49)))),
% 218.26/140.83 inference(tautology,[status(thm)],[])).
% 218.26/140.83 tff(16810,plain,
% 218.26/140.83 ((~(v111(constB49) <=> (v112(constB49) | v115(constB49)))) | (~(v112(constB49) | v115(constB49)))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16809, 16808])).
% 218.26/140.83 tff(16811,plain,
% 218.26/140.83 (~(v112(constB49) | v115(constB49))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16810, 16799])).
% 218.26/140.83 tff(16812,plain,
% 218.26/140.83 ((v112(constB49) | v115(constB49)) | (~v115(constB49))),
% 218.26/140.83 inference(tautology,[status(thm)],[])).
% 218.26/140.83 tff(16813,plain,
% 218.26/140.83 (~v115(constB49)),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16812, 16811])).
% 218.26/140.83 tff(16814,plain,
% 218.26/140.83 ((~(v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))))) | v115(constB49) | (v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))),
% 218.26/140.83 inference(tautology,[status(thm)],[])).
% 218.26/140.83 tff(16815,plain,
% 218.26/140.83 ((~(v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))))) | (v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16814, 16813])).
% 218.26/140.83 tff(16816,plain,
% 218.26/140.83 (v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16815, 16797])).
% 218.26/140.83 tff(16817,plain,
% 218.26/140.83 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1))))))),
% 218.26/140.83 inference(rewrite,[status(thm)],[])).
% 218.26/140.83 tff(16818,plain,
% 218.26/140.83 ((v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 1)) | (~v84(constB49, 0))))) <=> (v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1)))))),
% 218.26/140.83 inference(rewrite,[status(thm)],[])).
% 218.26/140.83 tff(16819,plain,
% 218.26/140.83 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 1)) | (~v84(constB49, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1))))))),
% 218.26/140.83 inference(monotonicity,[status(thm)],[16818])).
% 218.26/140.83 tff(16820,plain,
% 218.26/140.83 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 1)) | (~v84(constB49, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1))))))),
% 218.26/140.83 inference(transitivity,[status(thm)],[16819, 16817])).
% 218.26/140.83 tff(16821,plain,
% 218.26/140.83 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 1)) | (~v84(constB49, 0)))))),
% 218.26/140.83 inference(quant_inst,[status(thm)],[])).
% 218.26/140.83 tff(16822,plain,
% 218.26/140.83 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1)))))),
% 218.26/140.83 inference(modus_ponens,[status(thm)],[16821, 16820])).
% 218.26/140.83 tff(16823,plain,
% 218.26/140.83 (v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1))))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16822, 521])).
% 218.26/140.83 tff(16824,plain,
% 218.26/140.83 ((v111(constB49) | v116(constB49)) | (~v116(constB49))),
% 218.26/140.83 inference(tautology,[status(thm)],[])).
% 218.26/140.83 tff(16825,plain,
% 218.26/140.83 (~v116(constB49)),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16824, 16806])).
% 218.26/140.83 tff(16826,plain,
% 218.26/140.83 ((~(v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1)))))) | v116(constB49) | (v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1)))),
% 218.26/140.83 inference(tautology,[status(thm)],[])).
% 218.26/140.83 tff(16827,plain,
% 218.26/140.83 ((~(v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1)))))) | (v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1)))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16826, 16825])).
% 218.26/140.83 tff(16828,plain,
% 218.26/140.83 (v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16827, 16823])).
% 218.26/140.83 tff(16829,plain,
% 218.26/140.83 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0)))))),
% 218.26/140.83 inference(quant_inst,[status(thm)],[])).
% 218.26/140.83 tff(16830,plain,
% 218.26/140.83 (v114(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16829, 298])).
% 218.26/140.83 tff(16831,plain,
% 218.26/140.83 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB49) <=> (v113(constB49) | v114(constB49)))),
% 218.26/140.83 inference(quant_inst,[status(thm)],[])).
% 218.26/140.83 tff(16832,plain,
% 218.26/140.83 (v112(constB49) <=> (v113(constB49) | v114(constB49))),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16831, 283])).
% 218.26/140.83 tff(16833,plain,
% 218.26/140.83 ((v112(constB49) | v115(constB49)) | (~v112(constB49))),
% 218.26/140.83 inference(tautology,[status(thm)],[])).
% 218.26/140.83 tff(16834,plain,
% 218.26/140.83 (~v112(constB49)),
% 218.26/140.83 inference(unit_resolution,[status(thm)],[16833, 16811])).
% 218.29/140.83 tff(16835,plain,
% 218.29/140.83 ((~(v112(constB49) <=> (v113(constB49) | v114(constB49)))) | v112(constB49) | (~(v113(constB49) | v114(constB49)))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16836,plain,
% 218.29/140.83 ((~(v112(constB49) <=> (v113(constB49) | v114(constB49)))) | (~(v113(constB49) | v114(constB49)))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16835, 16834])).
% 218.29/140.83 tff(16837,plain,
% 218.29/140.83 (~(v113(constB49) | v114(constB49))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16836, 16832])).
% 218.29/140.83 tff(16838,plain,
% 218.29/140.83 ((v113(constB49) | v114(constB49)) | (~v114(constB49))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16839,plain,
% 218.29/140.83 (~v114(constB49)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16838, 16837])).
% 218.29/140.83 tff(16840,plain,
% 218.29/140.83 ((~(v114(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0)))))) | v114(constB49) | (v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0)))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16841,plain,
% 218.29/140.83 ((~(v114(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0)))))) | (v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0)))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16840, 16839])).
% 218.29/140.83 tff(16842,plain,
% 218.29/140.83 (v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16841, 16830])).
% 218.29/140.83 tff(16843,assumption,(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))), introduced(assumption)).
% 218.29/140.83 tff(16844,assumption,(~v84(constB49, 2)), introduced(assumption)).
% 218.29/140.83 tff(16845,assumption,(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))), introduced(assumption)).
% 218.29/140.83 tff(16846,assumption,(~(v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2))), introduced(assumption)).
% 218.29/140.83 tff(16847,plain,
% 218.29/140.83 ((v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2)) | (~v84(constB49, 2))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16848,plain,
% 218.29/140.83 (~v84(constB49, 2)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16847, 16846])).
% 218.29/140.83 tff(16849,plain,
% 218.29/140.83 ((v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2)) | (~v84(constB49, 0))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16850,plain,
% 218.29/140.83 (~v84(constB49, 0)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16849, 16846])).
% 218.29/140.83 tff(16851,plain,
% 218.29/140.83 ((v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2)) | (~v84(constB49, 1))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16852,plain,
% 218.29/140.83 (~v84(constB49, 1)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16851, 16846])).
% 218.29/140.83 tff(16853,plain,
% 218.29/140.83 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2))))),
% 218.29/140.83 inference(quant_inst,[status(thm)],[])).
% 218.29/140.83 tff(16854,plain,
% 218.29/140.83 (v113(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2)))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16853, 597])).
% 218.29/140.83 tff(16855,assumption,(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2))), introduced(assumption)).
% 218.29/140.83 tff(16856,assumption,(~v84(constB49, 1)), introduced(assumption)).
% 218.29/140.83 tff(16857,assumption,(~v84(constB49, 0)), introduced(assumption)).
% 218.29/140.83 tff(16858,plain,
% 218.29/140.83 ((~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))) | v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16859,plain,
% 218.29/140.83 ((~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))) | v84(constB49, 1) | (~v84(constB49, 2))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16858, 16857])).
% 218.29/140.83 tff(16860,plain,
% 218.29/140.83 (~v84(constB49, 2)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16859, 16856, 16855])).
% 218.29/140.83 tff(16861,assumption,(~(v84(constB49, 2) <=> v84(constB48, 2))), introduced(assumption)).
% 218.29/140.83 tff(16862,plain,
% 218.29/140.83 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16863,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48')).
% 218.29/140.83 tff(16864,plain,
% 218.29/140.83 (nextState(constB48, constB49)),
% 218.29/140.83 inference(modus_ponens,[status(thm)],[16863, 16862])).
% 218.29/140.83 tff(16865,plain,
% 218.29/140.83 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49))))))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16866,plain,
% 218.29/140.83 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49))))))),
% 218.29/140.83 inference(quant_inst,[status(thm)],[])).
% 218.29/140.83 tff(16867,plain,
% 218.29/140.83 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49)))))),
% 218.29/140.83 inference(modus_ponens,[status(thm)],[16866, 16865])).
% 218.29/140.83 tff(16868,plain,
% 218.29/140.83 (v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49))))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16867, 16864, 14])).
% 218.29/140.83 tff(16869,plain,
% 218.29/140.83 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16870,plain,
% 218.29/140.83 (((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49)))))) <=> ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16871,plain,
% 218.29/140.83 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))))),
% 218.29/140.83 inference(monotonicity,[status(thm)],[16870])).
% 218.29/140.83 tff(16872,plain,
% 218.29/140.83 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))),
% 218.29/140.83 inference(transitivity,[status(thm)],[16871, 16869])).
% 218.29/140.83 tff(16873,plain,
% 218.29/140.83 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49))))))),
% 218.29/140.83 inference(quant_inst,[status(thm)],[])).
% 218.29/140.83 tff(16874,plain,
% 218.29/140.83 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))),
% 218.29/140.83 inference(modus_ponens,[status(thm)],[16873, 16872])).
% 218.29/140.83 tff(16875,plain,
% 218.29/140.83 (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16874, 16864, 37])).
% 218.29/140.83 tff(16876,plain,
% 218.29/140.83 (((~v1(constB49)) | (~v96(constB49))) | v1(constB49)),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16877,plain,
% 218.29/140.83 ((~v1(constB49)) | (~v96(constB49))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16876, 16705])).
% 218.29/140.83 tff(16878,plain,
% 218.29/140.83 ((~(v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))) | (~v95(constB49)) | (~((~v1(constB49)) | (~v96(constB49))))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16879,plain,
% 218.29/140.83 ((~(v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))) | (~v95(constB49))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16878, 16877])).
% 218.29/140.83 tff(16880,plain,
% 218.29/140.83 (~v95(constB49)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16879, 16875])).
% 218.29/140.83 tff(16881,plain,
% 218.29/140.83 (((~v95(constB49)) | (~v104(constB49))) | v95(constB49)),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16882,plain,
% 218.29/140.83 ((~v95(constB49)) | (~v104(constB49))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16881, 16880])).
% 218.29/140.83 tff(16883,plain,
% 218.29/140.83 ((~(v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49)))))) | (~v94(constB49)) | (~((~v95(constB49)) | (~v104(constB49))))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16884,plain,
% 218.29/140.83 (~v94(constB49)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16883, 16882, 16868])).
% 218.29/140.83 tff(16885,plain,
% 218.29/140.83 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB49) | (~nextState(constB48, constB49)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB49) | (~nextState(constB48, constB49)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B))))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16886,plain,
% 218.29/140.83 ((v94(constB49) | (~nextState(constB48, constB49)) | ![B: $int] : ((v84(constB49, B) <=> v84(constB48, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB49) | (~nextState(constB48, constB49)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B))))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16887,plain,
% 218.29/140.83 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB49) | (~nextState(constB48, constB49)) | ![B: $int] : ((v84(constB49, B) <=> v84(constB48, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB49) | (~nextState(constB48, constB49)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))))),
% 218.29/140.83 inference(monotonicity,[status(thm)],[16886])).
% 218.29/140.83 tff(16888,plain,
% 218.29/140.83 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB49) | (~nextState(constB48, constB49)) | ![B: $int] : ((v84(constB49, B) <=> v84(constB48, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB49) | (~nextState(constB48, constB49)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B))))),
% 218.29/140.83 inference(transitivity,[status(thm)],[16887, 16885])).
% 218.29/140.83 tff(16889,plain,
% 218.29/140.83 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB49) | (~nextState(constB48, constB49)) | ![B: $int] : ((v84(constB49, B) <=> v84(constB48, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.83 inference(quant_inst,[status(thm)],[])).
% 218.29/140.83 tff(16890,plain,
% 218.29/140.83 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB49) | (~nextState(constB48, constB49)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))),
% 218.29/140.83 inference(modus_ponens,[status(thm)],[16889, 16888])).
% 218.29/140.83 tff(16891,plain,
% 218.29/140.83 (v94(constB49) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16890, 16864, 235])).
% 218.29/140.83 tff(16892,plain,
% 218.29/140.83 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16891, 16884])).
% 218.29/140.83 tff(16893,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 2) <=> v84(constB48, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 2) <=> v84(constB48, 2)))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16894,plain,
% 218.29/140.83 (($false | $false | (v84(constB49, 2) <=> v84(constB48, 2))) <=> (v84(constB49, 2) <=> v84(constB48, 2))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16895,plain,
% 218.29/140.83 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB49, 2) <=> v84(constB48, 2))) <=> ($false | $false | (v84(constB49, 2) <=> v84(constB48, 2)))),
% 218.29/140.83 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.83 tff(16896,plain,
% 218.29/140.83 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB49, 2) <=> v84(constB48, 2))) <=> (v84(constB49, 2) <=> v84(constB48, 2))),
% 218.29/140.83 inference(transitivity,[status(thm)],[16895, 16894])).
% 218.29/140.83 tff(16897,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB49, 2) <=> v84(constB48, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 2) <=> v84(constB48, 2)))),
% 218.29/140.83 inference(monotonicity,[status(thm)],[16896])).
% 218.29/140.83 tff(16898,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB49, 2) <=> v84(constB48, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 2) <=> v84(constB48, 2)))),
% 218.29/140.83 inference(transitivity,[status(thm)],[16897, 16893])).
% 218.29/140.83 tff(16899,plain,
% 218.29/140.83 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB49, 2) <=> v84(constB48, 2)))),
% 218.29/140.83 inference(quant_inst,[status(thm)],[])).
% 218.29/140.83 tff(16900,plain,
% 218.29/140.83 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 2) <=> v84(constB48, 2))),
% 218.29/140.83 inference(modus_ponens,[status(thm)],[16899, 16898])).
% 218.29/140.83 tff(16901,plain,
% 218.29/140.83 ($false),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16900, 16892, 16861])).
% 218.29/140.83 tff(16902,plain,(v84(constB49, 2) <=> v84(constB48, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.83 tff(16903,plain,
% 218.29/140.83 ((~(v84(constB49, 2) <=> v84(constB48, 2))) | v84(constB49, 2) | (~v84(constB48, 2))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16904,plain,
% 218.29/140.83 (v84(constB49, 2) | (~v84(constB48, 2))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16903, 16902])).
% 218.29/140.83 tff(16905,plain,
% 218.29/140.83 (~v84(constB48, 2)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16904, 16860])).
% 218.29/140.83 tff(16906,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 0) <=> v84(constB48, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 0) <=> v84(constB48, 0)))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16907,plain,
% 218.29/140.83 (($false | $false | (v84(constB49, 0) <=> v84(constB48, 0))) <=> (v84(constB49, 0) <=> v84(constB48, 0))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16908,plain,
% 218.29/140.83 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB49, 0) <=> v84(constB48, 0))) <=> ($false | $false | (v84(constB49, 0) <=> v84(constB48, 0)))),
% 218.29/140.83 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.83 tff(16909,plain,
% 218.29/140.83 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB49, 0) <=> v84(constB48, 0))) <=> (v84(constB49, 0) <=> v84(constB48, 0))),
% 218.29/140.83 inference(transitivity,[status(thm)],[16908, 16907])).
% 218.29/140.83 tff(16910,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB49, 0) <=> v84(constB48, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 0) <=> v84(constB48, 0)))),
% 218.29/140.83 inference(monotonicity,[status(thm)],[16909])).
% 218.29/140.83 tff(16911,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB49, 0) <=> v84(constB48, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 0) <=> v84(constB48, 0)))),
% 218.29/140.83 inference(transitivity,[status(thm)],[16910, 16906])).
% 218.29/140.83 tff(16912,plain,
% 218.29/140.83 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB49, 0) <=> v84(constB48, 0)))),
% 218.29/140.83 inference(quant_inst,[status(thm)],[])).
% 218.29/140.83 tff(16913,plain,
% 218.29/140.83 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 0) <=> v84(constB48, 0))),
% 218.29/140.83 inference(modus_ponens,[status(thm)],[16912, 16911])).
% 218.29/140.83 tff(16914,plain,
% 218.29/140.83 (v84(constB49, 0) <=> v84(constB48, 0)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16913, 16892])).
% 218.29/140.83 tff(16915,plain,
% 218.29/140.83 ((~(v84(constB49, 0) <=> v84(constB48, 0))) | v84(constB49, 0) | (~v84(constB48, 0))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16916,plain,
% 218.29/140.83 ((~(v84(constB49, 0) <=> v84(constB48, 0))) | (~v84(constB48, 0))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16915, 16857])).
% 218.29/140.83 tff(16917,plain,
% 218.29/140.83 (~v84(constB48, 0)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16916, 16914])).
% 218.29/140.83 tff(16918,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 1) <=> v84(constB48, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 1) <=> v84(constB48, 1)))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16919,plain,
% 218.29/140.83 (($false | $false | (v84(constB49, 1) <=> v84(constB48, 1))) <=> (v84(constB49, 1) <=> v84(constB48, 1))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16920,plain,
% 218.29/140.83 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB49, 1) <=> v84(constB48, 1))) <=> ($false | $false | (v84(constB49, 1) <=> v84(constB48, 1)))),
% 218.29/140.83 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.83 tff(16921,plain,
% 218.29/140.83 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB49, 1) <=> v84(constB48, 1))) <=> (v84(constB49, 1) <=> v84(constB48, 1))),
% 218.29/140.83 inference(transitivity,[status(thm)],[16920, 16919])).
% 218.29/140.83 tff(16922,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB49, 1) <=> v84(constB48, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 1) <=> v84(constB48, 1)))),
% 218.29/140.83 inference(monotonicity,[status(thm)],[16921])).
% 218.29/140.83 tff(16923,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB49, 1) <=> v84(constB48, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 1) <=> v84(constB48, 1)))),
% 218.29/140.83 inference(transitivity,[status(thm)],[16922, 16918])).
% 218.29/140.83 tff(16924,plain,
% 218.29/140.83 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB49, 1) <=> v84(constB48, 1)))),
% 218.29/140.83 inference(quant_inst,[status(thm)],[])).
% 218.29/140.83 tff(16925,plain,
% 218.29/140.83 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB49, B) <=> v84(constB48, B)))) | (v84(constB49, 1) <=> v84(constB48, 1))),
% 218.29/140.83 inference(modus_ponens,[status(thm)],[16924, 16923])).
% 218.29/140.83 tff(16926,plain,
% 218.29/140.83 (v84(constB49, 1) <=> v84(constB48, 1)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16925, 16892])).
% 218.29/140.83 tff(16927,plain,
% 218.29/140.83 ((~(v84(constB49, 1) <=> v84(constB48, 1))) | v84(constB49, 1) | (~v84(constB48, 1))),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16928,plain,
% 218.29/140.83 ((~(v84(constB49, 1) <=> v84(constB48, 1))) | (~v84(constB48, 1))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16927, 16856])).
% 218.29/140.83 tff(16929,plain,
% 218.29/140.83 (~v84(constB48, 1)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16928, 16926])).
% 218.29/140.83 tff(16930,plain,
% 218.29/140.83 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB47) <=> v26(constB47))),
% 218.29/140.83 inference(quant_inst,[status(thm)],[])).
% 218.29/140.83 tff(16931,plain,
% 218.29/140.83 (v105(constB47) <=> v26(constB47)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16930, 156])).
% 218.29/140.83 tff(16932,plain,
% 218.29/140.83 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 218.29/140.83 inference(quant_inst,[status(thm)],[])).
% 218.29/140.83 tff(16933,plain,
% 218.29/140.83 (~v26(constB47)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16932, 168])).
% 218.29/140.83 tff(16934,plain,
% 218.29/140.83 ((~(v105(constB47) <=> v26(constB47))) | (~v105(constB47)) | v26(constB47)),
% 218.29/140.83 inference(tautology,[status(thm)],[])).
% 218.29/140.83 tff(16935,plain,
% 218.29/140.83 ((~(v105(constB47) <=> v26(constB47))) | (~v105(constB47))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16934, 16933])).
% 218.29/140.83 tff(16936,plain,
% 218.29/140.83 (~v105(constB47)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16935, 16931])).
% 218.29/140.83 tff(16937,plain,
% 218.29/140.83 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB47) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB47) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B))))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16938,plain,
% 218.29/140.83 ((v105(constB47) | ![B: $int] : ((v121(constB47, B) <=> v124(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB47) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B))))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16939,plain,
% 218.29/140.83 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB47) | ![B: $int] : ((v121(constB47, B) <=> v124(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB47) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))))),
% 218.29/140.83 inference(monotonicity,[status(thm)],[16938])).
% 218.29/140.83 tff(16940,plain,
% 218.29/140.83 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB47) | ![B: $int] : ((v121(constB47, B) <=> v124(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB47) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B))))),
% 218.29/140.83 inference(transitivity,[status(thm)],[16939, 16937])).
% 218.29/140.83 tff(16941,plain,
% 218.29/140.83 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB47) | ![B: $int] : ((v121(constB47, B) <=> v124(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.83 inference(quant_inst,[status(thm)],[])).
% 218.29/140.83 tff(16942,plain,
% 218.29/140.83 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB47) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))),
% 218.29/140.83 inference(modus_ponens,[status(thm)],[16941, 16940])).
% 218.29/140.83 tff(16943,plain,
% 218.29/140.83 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16942, 1562, 16936])).
% 218.29/140.83 tff(16944,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 2) <=> v124(constB47, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 2) <=> v124(constB47, 2)))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16945,plain,
% 218.29/140.83 (($false | $false | (v121(constB47, 2) <=> v124(constB47, 2))) <=> (v121(constB47, 2) <=> v124(constB47, 2))),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16946,plain,
% 218.29/140.83 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB47, 2) <=> v124(constB47, 2))) <=> ($false | $false | (v121(constB47, 2) <=> v124(constB47, 2)))),
% 218.29/140.83 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.83 tff(16947,plain,
% 218.29/140.83 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB47, 2) <=> v124(constB47, 2))) <=> (v121(constB47, 2) <=> v124(constB47, 2))),
% 218.29/140.83 inference(transitivity,[status(thm)],[16946, 16945])).
% 218.29/140.83 tff(16948,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB47, 2) <=> v124(constB47, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 2) <=> v124(constB47, 2)))),
% 218.29/140.83 inference(monotonicity,[status(thm)],[16947])).
% 218.29/140.83 tff(16949,plain,
% 218.29/140.83 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB47, 2) <=> v124(constB47, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 2) <=> v124(constB47, 2)))),
% 218.29/140.83 inference(transitivity,[status(thm)],[16948, 16944])).
% 218.29/140.83 tff(16950,plain,
% 218.29/140.83 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB47, 2) <=> v124(constB47, 2)))),
% 218.29/140.83 inference(quant_inst,[status(thm)],[])).
% 218.29/140.83 tff(16951,plain,
% 218.29/140.83 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 2) <=> v124(constB47, 2))),
% 218.29/140.83 inference(modus_ponens,[status(thm)],[16950, 16949])).
% 218.29/140.83 tff(16952,plain,
% 218.29/140.83 (v121(constB47, 2) <=> v124(constB47, 2)),
% 218.29/140.83 inference(unit_resolution,[status(thm)],[16951, 16943])).
% 218.29/140.83 tff(16953,plain,
% 218.29/140.83 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 218.29/140.83 inference(rewrite,[status(thm)],[])).
% 218.29/140.83 tff(16954,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47')).
% 218.29/140.83 tff(16955,plain,
% 218.29/140.83 (nextState(constB47, constB48)),
% 218.29/140.83 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 218.29/140.83 tff(16956,plain,
% 218.29/140.83 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B))))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(16957,plain,
% 218.29/140.84 (((~nextState(constB47, constB48)) | ![B: $int] : ((v123(constB48, B) <=> v121(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B))))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(16958,plain,
% 218.29/140.84 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB47, constB48)) | ![B: $int] : ((v123(constB48, B) <=> v121(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[16957])).
% 218.29/140.84 tff(16959,plain,
% 218.29/140.84 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB47, constB48)) | ![B: $int] : ((v123(constB48, B) <=> v121(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B))))),
% 218.29/140.84 inference(transitivity,[status(thm)],[16958, 16956])).
% 218.29/140.84 tff(16960,plain,
% 218.29/140.84 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB47, constB48)) | ![B: $int] : ((v123(constB48, B) <=> v121(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(16961,plain,
% 218.29/140.84 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[16960, 16959])).
% 218.29/140.84 tff(16962,plain,
% 218.29/140.84 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[16961, 16955, 1527])).
% 218.29/140.84 tff(16963,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 2) <=> v121(constB47, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 2) <=> v121(constB47, 2)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(16964,plain,
% 218.29/140.84 (($false | $false | (v123(constB48, 2) <=> v121(constB47, 2))) <=> (v123(constB48, 2) <=> v121(constB47, 2))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(16965,plain,
% 218.29/140.84 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB48, 2) <=> v121(constB47, 2))) <=> ($false | $false | (v123(constB48, 2) <=> v121(constB47, 2)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.84 tff(16966,plain,
% 218.29/140.84 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB48, 2) <=> v121(constB47, 2))) <=> (v123(constB48, 2) <=> v121(constB47, 2))),
% 218.29/140.84 inference(transitivity,[status(thm)],[16965, 16964])).
% 218.29/140.84 tff(16967,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB48, 2) <=> v121(constB47, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 2) <=> v121(constB47, 2)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[16966])).
% 218.29/140.84 tff(16968,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB48, 2) <=> v121(constB47, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 2) <=> v121(constB47, 2)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[16967, 16963])).
% 218.29/140.84 tff(16969,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB48, 2) <=> v121(constB47, 2)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(16970,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 2) <=> v121(constB47, 2))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[16969, 16968])).
% 218.29/140.84 tff(16971,plain,
% 218.29/140.84 (v123(constB48, 2) <=> v121(constB47, 2)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[16970, 16962])).
% 218.29/140.84 tff(16972,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))), introduced(assumption)).
% 218.29/140.84 tff(16973,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 2) <=> v123(constB48, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 2) <=> v123(constB48, 2)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(16974,plain,
% 218.29/140.84 (($false | $false | (v84(constB48, 2) <=> v123(constB48, 2))) <=> (v84(constB48, 2) <=> v123(constB48, 2))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(16975,plain,
% 218.29/140.84 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB48, 2) <=> v123(constB48, 2))) <=> ($false | $false | (v84(constB48, 2) <=> v123(constB48, 2)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.84 tff(16976,plain,
% 218.29/140.84 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB48, 2) <=> v123(constB48, 2))) <=> (v84(constB48, 2) <=> v123(constB48, 2))),
% 218.29/140.84 inference(transitivity,[status(thm)],[16975, 16974])).
% 218.29/140.84 tff(16977,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB48, 2) <=> v123(constB48, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 2) <=> v123(constB48, 2)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[16976])).
% 218.29/140.84 tff(16978,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB48, 2) <=> v123(constB48, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 2) <=> v123(constB48, 2)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[16977, 16973])).
% 218.29/140.84 tff(16979,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB48, 2) <=> v123(constB48, 2)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(16980,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 2) <=> v123(constB48, 2))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[16979, 16978])).
% 218.29/140.84 tff(16981,plain,
% 218.29/140.84 (v84(constB48, 2) <=> v123(constB48, 2)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[16980, 16972])).
% 218.29/140.84 tff(16982,assumption,(~v84(constB48, 2)), introduced(assumption)).
% 218.29/140.84 tff(16983,plain,
% 218.29/140.84 ((~(v84(constB48, 2) <=> v123(constB48, 2))) | v84(constB48, 2) | (~v123(constB48, 2))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(16984,plain,
% 218.29/140.84 ((~(v84(constB48, 2) <=> v123(constB48, 2))) | (~v123(constB48, 2))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[16983, 16982])).
% 218.29/140.84 tff(16985,plain,
% 218.29/140.84 (~v123(constB48, 2)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[16984, 16981])).
% 218.29/140.84 tff(16986,plain,
% 218.29/140.84 ((~(v123(constB48, 2) <=> v121(constB47, 2))) | v123(constB48, 2) | (~v121(constB47, 2))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(16987,plain,
% 218.29/140.84 ((~(v123(constB48, 2) <=> v121(constB47, 2))) | (~v121(constB47, 2))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[16986, 16985])).
% 218.29/140.84 tff(16988,plain,
% 218.29/140.84 (~v121(constB47, 2)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[16987, 16971])).
% 218.29/140.84 tff(16989,plain,
% 218.29/140.84 ((~(v121(constB47, 2) <=> v124(constB47, 2))) | v121(constB47, 2) | (~v124(constB47, 2))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(16990,plain,
% 218.29/140.84 ((~(v121(constB47, 2) <=> v124(constB47, 2))) | (~v124(constB47, 2))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[16989, 16988])).
% 218.29/140.84 tff(16991,plain,
% 218.29/140.84 (~v124(constB47, 2)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[16990, 16952])).
% 218.29/140.84 tff(16992,plain,
% 218.29/140.84 ((~(v124(constB47, 2) <=> b110(2))) | v124(constB47, 2) | (~b110(2))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(16993,plain,
% 218.29/140.84 (~(v124(constB47, 2) <=> b110(2))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[16992, 1598, 16991])).
% 218.29/140.84 tff(16994,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 1) <=> v124(constB47, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 1) <=> v124(constB47, 1)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(16995,plain,
% 218.29/140.84 (($false | $false | (v121(constB47, 1) <=> v124(constB47, 1))) <=> (v121(constB47, 1) <=> v124(constB47, 1))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(16996,plain,
% 218.29/140.84 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB47, 1) <=> v124(constB47, 1))) <=> ($false | $false | (v121(constB47, 1) <=> v124(constB47, 1)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.84 tff(16997,plain,
% 218.29/140.84 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB47, 1) <=> v124(constB47, 1))) <=> (v121(constB47, 1) <=> v124(constB47, 1))),
% 218.29/140.84 inference(transitivity,[status(thm)],[16996, 16995])).
% 218.29/140.84 tff(16998,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB47, 1) <=> v124(constB47, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 1) <=> v124(constB47, 1)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[16997])).
% 218.29/140.84 tff(16999,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB47, 1) <=> v124(constB47, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 1) <=> v124(constB47, 1)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[16998, 16994])).
% 218.29/140.84 tff(17000,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB47, 1) <=> v124(constB47, 1)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17001,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 1) <=> v124(constB47, 1))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17000, 16999])).
% 218.29/140.84 tff(17002,plain,
% 218.29/140.84 (v121(constB47, 1) <=> v124(constB47, 1)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17001, 16943])).
% 218.29/140.84 tff(17003,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 1) <=> v121(constB47, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 1) <=> v121(constB47, 1)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17004,plain,
% 218.29/140.84 (($false | $false | (v123(constB48, 1) <=> v121(constB47, 1))) <=> (v123(constB48, 1) <=> v121(constB47, 1))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17005,plain,
% 218.29/140.84 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB48, 1) <=> v121(constB47, 1))) <=> ($false | $false | (v123(constB48, 1) <=> v121(constB47, 1)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.84 tff(17006,plain,
% 218.29/140.84 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB48, 1) <=> v121(constB47, 1))) <=> (v123(constB48, 1) <=> v121(constB47, 1))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17005, 17004])).
% 218.29/140.84 tff(17007,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB48, 1) <=> v121(constB47, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 1) <=> v121(constB47, 1)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17006])).
% 218.29/140.84 tff(17008,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB48, 1) <=> v121(constB47, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 1) <=> v121(constB47, 1)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17007, 17003])).
% 218.29/140.84 tff(17009,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB48, 1) <=> v121(constB47, 1)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17010,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 1) <=> v121(constB47, 1))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17009, 17008])).
% 218.29/140.84 tff(17011,plain,
% 218.29/140.84 (v123(constB48, 1) <=> v121(constB47, 1)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17010, 16962])).
% 218.29/140.84 tff(17012,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 1) <=> v123(constB48, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 1) <=> v123(constB48, 1)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17013,plain,
% 218.29/140.84 (($false | $false | (v84(constB48, 1) <=> v123(constB48, 1))) <=> (v84(constB48, 1) <=> v123(constB48, 1))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17014,plain,
% 218.29/140.84 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB48, 1) <=> v123(constB48, 1))) <=> ($false | $false | (v84(constB48, 1) <=> v123(constB48, 1)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.84 tff(17015,plain,
% 218.29/140.84 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB48, 1) <=> v123(constB48, 1))) <=> (v84(constB48, 1) <=> v123(constB48, 1))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17014, 17013])).
% 218.29/140.84 tff(17016,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB48, 1) <=> v123(constB48, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 1) <=> v123(constB48, 1)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17015])).
% 218.29/140.84 tff(17017,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB48, 1) <=> v123(constB48, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 1) <=> v123(constB48, 1)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17016, 17012])).
% 218.29/140.84 tff(17018,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB48, 1) <=> v123(constB48, 1)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17019,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 1) <=> v123(constB48, 1))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17018, 17017])).
% 218.29/140.84 tff(17020,plain,
% 218.29/140.84 (v84(constB48, 1) <=> v123(constB48, 1)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17019, 16972])).
% 218.29/140.84 tff(17021,assumption,(~v84(constB48, 1)), introduced(assumption)).
% 218.29/140.84 tff(17022,plain,
% 218.29/140.84 ((~(v84(constB48, 1) <=> v123(constB48, 1))) | v84(constB48, 1) | (~v123(constB48, 1))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(17023,plain,
% 218.29/140.84 ((~(v84(constB48, 1) <=> v123(constB48, 1))) | (~v123(constB48, 1))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17022, 17021])).
% 218.29/140.84 tff(17024,plain,
% 218.29/140.84 (~v123(constB48, 1)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17023, 17020])).
% 218.29/140.84 tff(17025,plain,
% 218.29/140.84 ((~(v123(constB48, 1) <=> v121(constB47, 1))) | v123(constB48, 1) | (~v121(constB47, 1))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(17026,plain,
% 218.29/140.84 ((~(v123(constB48, 1) <=> v121(constB47, 1))) | (~v121(constB47, 1))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17025, 17024])).
% 218.29/140.84 tff(17027,plain,
% 218.29/140.84 (~v121(constB47, 1)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17026, 17011])).
% 218.29/140.84 tff(17028,plain,
% 218.29/140.84 ((~(v121(constB47, 1) <=> v124(constB47, 1))) | v121(constB47, 1) | (~v124(constB47, 1))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(17029,plain,
% 218.29/140.84 ((~(v121(constB47, 1) <=> v124(constB47, 1))) | (~v124(constB47, 1))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17028, 17027])).
% 218.29/140.84 tff(17030,plain,
% 218.29/140.84 (~v124(constB47, 1)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17029, 17002])).
% 218.29/140.84 tff(17031,assumption,(~v124(constB47, 1)), introduced(assumption)).
% 218.29/140.84 tff(17032,plain,
% 218.29/140.84 ((~(v124(constB47, 1) <=> b010(1))) | v124(constB47, 1) | (~b010(1))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(17033,plain,
% 218.29/140.84 (~(v124(constB47, 1) <=> b010(1))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17032, 2513, 17031])).
% 218.29/140.84 tff(17034,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))), introduced(assumption)).
% 218.29/140.84 tff(17035,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))) | (v124(constB47, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))) | (v124(constB47, 1) <=> b010(1)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17036,plain,
% 218.29/140.84 (($false | $false | (v124(constB47, 1) <=> b010(1))) <=> (v124(constB47, 1) <=> b010(1))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17037,plain,
% 218.29/140.84 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB47, 1) <=> b010(1))) <=> ($false | $false | (v124(constB47, 1) <=> b010(1)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.84 tff(17038,plain,
% 218.29/140.84 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB47, 1) <=> b010(1))) <=> (v124(constB47, 1) <=> b010(1))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17037, 17036])).
% 218.29/140.84 tff(17039,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB47, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))) | (v124(constB47, 1) <=> b010(1)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17038])).
% 218.29/140.84 tff(17040,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB47, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))) | (v124(constB47, 1) <=> b010(1)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17039, 17035])).
% 218.29/140.84 tff(17041,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB47, 1) <=> b010(1)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17042,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))) | (v124(constB47, 1) <=> b010(1))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17041, 17040])).
% 218.29/140.84 tff(17043,plain,
% 218.29/140.84 ($false),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17042, 17034, 17033])).
% 218.29/140.84 tff(17044,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))) | v124(constB47, 1)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.84 tff(17045,plain,
% 218.29/140.84 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17044, 17030])).
% 218.29/140.84 tff(17046,plain,
% 218.29/140.84 ((~(v124(constB47, 1) <=> b011(1))) | v124(constB47, 1) | (~b011(1))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(17047,plain,
% 218.29/140.84 (~(v124(constB47, 1) <=> b011(1))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17046, 2593, 17031])).
% 218.29/140.84 tff(17048,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))), introduced(assumption)).
% 218.29/140.84 tff(17049,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))) | (v124(constB47, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))) | (v124(constB47, 1) <=> b011(1)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17050,plain,
% 218.29/140.84 (($false | $false | (v124(constB47, 1) <=> b011(1))) <=> (v124(constB47, 1) <=> b011(1))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17051,plain,
% 218.29/140.84 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB47, 1) <=> b011(1))) <=> ($false | $false | (v124(constB47, 1) <=> b011(1)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.84 tff(17052,plain,
% 218.29/140.84 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB47, 1) <=> b011(1))) <=> (v124(constB47, 1) <=> b011(1))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17051, 17050])).
% 218.29/140.84 tff(17053,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB47, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))) | (v124(constB47, 1) <=> b011(1)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17052])).
% 218.29/140.84 tff(17054,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB47, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))) | (v124(constB47, 1) <=> b011(1)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17053, 17049])).
% 218.29/140.84 tff(17055,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB47, 1) <=> b011(1)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17056,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))) | (v124(constB47, 1) <=> b011(1))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17055, 17054])).
% 218.29/140.84 tff(17057,plain,
% 218.29/140.84 ($false),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17056, 17048, 17047])).
% 218.29/140.84 tff(17058,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))) | v124(constB47, 1)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.84 tff(17059,plain,
% 218.29/140.84 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17058, 17030])).
% 218.29/140.84 tff(17060,assumption,(~v124(constB47, 2)), introduced(assumption)).
% 218.29/140.84 tff(17061,plain,
% 218.29/140.84 ((~(v124(constB47, 2) <=> b100(2))) | v124(constB47, 2) | (~b100(2))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(17062,plain,
% 218.29/140.84 (~(v124(constB47, 2) <=> b100(2))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17061, 2250, 17060])).
% 218.29/140.84 tff(17063,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))), introduced(assumption)).
% 218.29/140.84 tff(17064,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))) | (v124(constB47, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))) | (v124(constB47, 2) <=> b100(2)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17065,plain,
% 218.29/140.84 (($false | $false | (v124(constB47, 2) <=> b100(2))) <=> (v124(constB47, 2) <=> b100(2))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17066,plain,
% 218.29/140.84 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b100(2))) <=> ($false | $false | (v124(constB47, 2) <=> b100(2)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.84 tff(17067,plain,
% 218.29/140.84 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b100(2))) <=> (v124(constB47, 2) <=> b100(2))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17066, 17065])).
% 218.29/140.84 tff(17068,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))) | (v124(constB47, 2) <=> b100(2)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17067])).
% 218.29/140.84 tff(17069,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))) | (v124(constB47, 2) <=> b100(2)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17068, 17064])).
% 218.29/140.84 tff(17070,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b100(2)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17071,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))) | (v124(constB47, 2) <=> b100(2))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17070, 17069])).
% 218.29/140.84 tff(17072,plain,
% 218.29/140.84 ($false),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17071, 17063, 17062])).
% 218.29/140.84 tff(17073,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))) | v124(constB47, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.84 tff(17074,plain,
% 218.29/140.84 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17073, 16991])).
% 218.29/140.84 tff(17075,plain,
% 218.29/140.84 ((~(v124(constB47, 2) <=> b101(2))) | v124(constB47, 2) | (~b101(2))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(17076,plain,
% 218.29/140.84 (~(v124(constB47, 2) <=> b101(2))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17075, 2354, 17060])).
% 218.29/140.84 tff(17077,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))), introduced(assumption)).
% 218.29/140.84 tff(17078,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))) | (v124(constB47, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))) | (v124(constB47, 2) <=> b101(2)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17079,plain,
% 218.29/140.84 (($false | $false | (v124(constB47, 2) <=> b101(2))) <=> (v124(constB47, 2) <=> b101(2))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17080,plain,
% 218.29/140.84 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b101(2))) <=> ($false | $false | (v124(constB47, 2) <=> b101(2)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.84 tff(17081,plain,
% 218.29/140.84 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b101(2))) <=> (v124(constB47, 2) <=> b101(2))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17080, 17079])).
% 218.29/140.84 tff(17082,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))) | (v124(constB47, 2) <=> b101(2)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17081])).
% 218.29/140.84 tff(17083,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))) | (v124(constB47, 2) <=> b101(2)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17082, 17078])).
% 218.29/140.84 tff(17084,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b101(2)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17085,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))) | (v124(constB47, 2) <=> b101(2))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17084, 17083])).
% 218.29/140.84 tff(17086,plain,
% 218.29/140.84 ($false),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17085, 17077, 17076])).
% 218.29/140.84 tff(17087,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))) | v124(constB47, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.84 tff(17088,plain,
% 218.29/140.84 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17087, 16991])).
% 218.29/140.84 tff(17089,plain,
% 218.29/140.84 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B))))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17090,plain,
% 218.29/140.84 (((~v117(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B))))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17091,plain,
% 218.29/140.84 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17090])).
% 218.29/140.84 tff(17092,plain,
% 218.29/140.84 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B))))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17091, 17089])).
% 218.29/140.84 tff(17093,plain,
% 218.29/140.84 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17094,plain,
% 218.29/140.84 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17093, 17092])).
% 218.29/140.84 tff(17095,plain,
% 218.29/140.84 ((~v117(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b101(B)))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17094, 2090])).
% 218.29/140.84 tff(17096,plain,
% 218.29/140.84 (~v117(constB47)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17095, 17088])).
% 218.29/140.84 tff(17097,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 0) <=> v124(constB47, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 0) <=> v124(constB47, 0)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17098,plain,
% 218.29/140.84 (($false | $false | (v121(constB47, 0) <=> v124(constB47, 0))) <=> (v121(constB47, 0) <=> v124(constB47, 0))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17099,plain,
% 218.29/140.84 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB47, 0) <=> v124(constB47, 0))) <=> ($false | $false | (v121(constB47, 0) <=> v124(constB47, 0)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.84 tff(17100,plain,
% 218.29/140.84 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB47, 0) <=> v124(constB47, 0))) <=> (v121(constB47, 0) <=> v124(constB47, 0))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17099, 17098])).
% 218.29/140.84 tff(17101,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB47, 0) <=> v124(constB47, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 0) <=> v124(constB47, 0)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17100])).
% 218.29/140.84 tff(17102,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB47, 0) <=> v124(constB47, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 0) <=> v124(constB47, 0)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17101, 17097])).
% 218.29/140.84 tff(17103,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB47, 0) <=> v124(constB47, 0)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17104,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB47, B) <=> v124(constB47, B)))) | (v121(constB47, 0) <=> v124(constB47, 0))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17103, 17102])).
% 218.29/140.84 tff(17105,plain,
% 218.29/140.84 (v121(constB47, 0) <=> v124(constB47, 0)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17104, 16943])).
% 218.29/140.84 tff(17106,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 0) <=> v121(constB47, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 0) <=> v121(constB47, 0)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17107,plain,
% 218.29/140.84 (($false | $false | (v123(constB48, 0) <=> v121(constB47, 0))) <=> (v123(constB48, 0) <=> v121(constB47, 0))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17108,plain,
% 218.29/140.84 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB48, 0) <=> v121(constB47, 0))) <=> ($false | $false | (v123(constB48, 0) <=> v121(constB47, 0)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.84 tff(17109,plain,
% 218.29/140.84 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB48, 0) <=> v121(constB47, 0))) <=> (v123(constB48, 0) <=> v121(constB47, 0))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17108, 17107])).
% 218.29/140.84 tff(17110,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB48, 0) <=> v121(constB47, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 0) <=> v121(constB47, 0)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17109])).
% 218.29/140.84 tff(17111,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB48, 0) <=> v121(constB47, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 0) <=> v121(constB47, 0)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17110, 17106])).
% 218.29/140.84 tff(17112,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB48, 0) <=> v121(constB47, 0)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17113,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB48, B) <=> v121(constB47, B)))) | (v123(constB48, 0) <=> v121(constB47, 0))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17112, 17111])).
% 218.29/140.84 tff(17114,plain,
% 218.29/140.84 (v123(constB48, 0) <=> v121(constB47, 0)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17113, 16962])).
% 218.29/140.84 tff(17115,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 0) <=> v123(constB48, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 0) <=> v123(constB48, 0)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17116,plain,
% 218.29/140.84 (($false | $false | (v84(constB48, 0) <=> v123(constB48, 0))) <=> (v84(constB48, 0) <=> v123(constB48, 0))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17117,plain,
% 218.29/140.84 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB48, 0) <=> v123(constB48, 0))) <=> ($false | $false | (v84(constB48, 0) <=> v123(constB48, 0)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.84 tff(17118,plain,
% 218.29/140.84 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB48, 0) <=> v123(constB48, 0))) <=> (v84(constB48, 0) <=> v123(constB48, 0))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17117, 17116])).
% 218.29/140.84 tff(17119,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB48, 0) <=> v123(constB48, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 0) <=> v123(constB48, 0)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17118])).
% 218.29/140.84 tff(17120,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB48, 0) <=> v123(constB48, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 0) <=> v123(constB48, 0)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17119, 17115])).
% 218.29/140.84 tff(17121,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB48, 0) <=> v123(constB48, 0)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17122,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | (v84(constB48, 0) <=> v123(constB48, 0))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17121, 17120])).
% 218.29/140.84 tff(17123,plain,
% 218.29/140.84 (v84(constB48, 0) <=> v123(constB48, 0)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17122, 16972])).
% 218.29/140.84 tff(17124,assumption,(~v84(constB48, 0)), introduced(assumption)).
% 218.29/140.84 tff(17125,plain,
% 218.29/140.84 ((~(v84(constB48, 0) <=> v123(constB48, 0))) | v84(constB48, 0) | (~v123(constB48, 0))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(17126,plain,
% 218.29/140.84 ((~(v84(constB48, 0) <=> v123(constB48, 0))) | (~v123(constB48, 0))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17125, 17124])).
% 218.29/140.84 tff(17127,plain,
% 218.29/140.84 (~v123(constB48, 0)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17126, 17123])).
% 218.29/140.84 tff(17128,plain,
% 218.29/140.84 ((~(v123(constB48, 0) <=> v121(constB47, 0))) | v123(constB48, 0) | (~v121(constB47, 0))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(17129,plain,
% 218.29/140.84 ((~(v123(constB48, 0) <=> v121(constB47, 0))) | (~v121(constB47, 0))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17128, 17127])).
% 218.29/140.84 tff(17130,plain,
% 218.29/140.84 (~v121(constB47, 0)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17129, 17114])).
% 218.29/140.84 tff(17131,plain,
% 218.29/140.84 ((~(v121(constB47, 0) <=> v124(constB47, 0))) | v121(constB47, 0) | (~v124(constB47, 0))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(17132,plain,
% 218.29/140.84 ((~(v121(constB47, 0) <=> v124(constB47, 0))) | (~v124(constB47, 0))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17131, 17130])).
% 218.29/140.84 tff(17133,plain,
% 218.29/140.84 (~v124(constB47, 0)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17132, 17105])).
% 218.29/140.84 tff(17134,assumption,(~v124(constB47, 0)), introduced(assumption)).
% 218.29/140.84 tff(17135,plain,
% 218.29/140.84 ((~(v124(constB47, 0) <=> b001(0))) | v124(constB47, 0) | (~b001(0))),
% 218.29/140.84 inference(tautology,[status(thm)],[])).
% 218.29/140.84 tff(17136,plain,
% 218.29/140.84 (~(v124(constB47, 0) <=> b001(0))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17135, 1940, 17134])).
% 218.29/140.84 tff(17137,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))), introduced(assumption)).
% 218.29/140.84 tff(17138,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))) | (v124(constB47, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))) | (v124(constB47, 0) <=> b001(0)))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17139,plain,
% 218.29/140.84 (($false | $false | (v124(constB47, 0) <=> b001(0))) <=> (v124(constB47, 0) <=> b001(0))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17140,plain,
% 218.29/140.84 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB47, 0) <=> b001(0))) <=> ($false | $false | (v124(constB47, 0) <=> b001(0)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.84 tff(17141,plain,
% 218.29/140.84 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB47, 0) <=> b001(0))) <=> (v124(constB47, 0) <=> b001(0))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17140, 17139])).
% 218.29/140.84 tff(17142,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB47, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))) | (v124(constB47, 0) <=> b001(0)))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17141])).
% 218.29/140.84 tff(17143,plain,
% 218.29/140.84 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB47, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))) | (v124(constB47, 0) <=> b001(0)))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17142, 17138])).
% 218.29/140.84 tff(17144,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB47, 0) <=> b001(0)))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17145,plain,
% 218.29/140.84 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))) | (v124(constB47, 0) <=> b001(0))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17144, 17143])).
% 218.29/140.84 tff(17146,plain,
% 218.29/140.84 ($false),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17145, 17137, 17136])).
% 218.29/140.84 tff(17147,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))) | v124(constB47, 0)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.84 tff(17148,plain,
% 218.29/140.84 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17147, 17133])).
% 218.29/140.84 tff(17149,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))), introduced(assumption)).
% 218.29/140.84 tff(17150,plain,
% 218.29/140.84 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17151,plain,
% 218.29/140.84 (((~v113(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17152,plain,
% 218.29/140.84 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17151])).
% 218.29/140.84 tff(17153,plain,
% 218.29/140.84 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17152, 17150])).
% 218.29/140.84 tff(17154,plain,
% 218.29/140.84 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17155,plain,
% 218.29/140.84 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17154, 17153])).
% 218.29/140.84 tff(17156,plain,
% 218.29/140.84 (~v113(constB47)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17155, 2117, 17149])).
% 218.29/140.84 tff(17157,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))), introduced(assumption)).
% 218.29/140.84 tff(17158,plain,
% 218.29/140.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B))))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17159,plain,
% 218.29/140.84 (((~v115(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B))))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17160,plain,
% 218.29/140.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))))),
% 218.29/140.84 inference(monotonicity,[status(thm)],[17159])).
% 218.29/140.84 tff(17161,plain,
% 218.29/140.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B))))),
% 218.29/140.84 inference(transitivity,[status(thm)],[17160, 17158])).
% 218.29/140.84 tff(17162,plain,
% 218.29/140.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.84 inference(quant_inst,[status(thm)],[])).
% 218.29/140.84 tff(17163,plain,
% 218.29/140.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B)))),
% 218.29/140.84 inference(modus_ponens,[status(thm)],[17162, 17161])).
% 218.29/140.84 tff(17164,plain,
% 218.29/140.84 (~v115(constB47)),
% 218.29/140.84 inference(unit_resolution,[status(thm)],[17163, 2144, 17157])).
% 218.29/140.84 tff(17165,assumption,(~v117(constB47)), introduced(assumption)).
% 218.29/140.84 tff(17166,assumption,(~v118(constB47)), introduced(assumption)).
% 218.29/140.84 tff(17167,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))), introduced(assumption)).
% 218.29/140.84 tff(17168,plain,
% 218.29/140.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B))))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17169,plain,
% 218.29/140.84 (((~v114(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B))))),
% 218.29/140.84 inference(rewrite,[status(thm)],[])).
% 218.29/140.84 tff(17170,plain,
% 218.29/140.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17169])).
% 218.29/140.85 tff(17171,plain,
% 218.29/140.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B))))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17170, 17168])).
% 218.29/140.85 tff(17172,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17173,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17172, 17171])).
% 218.29/140.85 tff(17174,plain,
% 218.29/140.85 (~v114(constB47)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17173, 2418, 17167])).
% 218.29/140.85 tff(17175,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))), introduced(assumption)).
% 218.29/140.85 tff(17176,plain,
% 218.29/140.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B))))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17177,plain,
% 218.29/140.85 (((~v116(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B))))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17178,plain,
% 218.29/140.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17177])).
% 218.29/140.85 tff(17179,plain,
% 218.29/140.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B))))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17178, 17176])).
% 218.29/140.85 tff(17180,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17181,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B)))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17180, 17179])).
% 218.29/140.85 tff(17182,plain,
% 218.29/140.85 (~v116(constB47)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17181, 2230, 17175])).
% 218.29/140.85 tff(17183,plain,
% 218.29/140.85 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))) | v113(constB47) | v114(constB47) | v115(constB47) | v116(constB47) | v117(constB47) | v118(constB47))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))) | v113(constB47) | v114(constB47) | v115(constB47) | v116(constB47) | v117(constB47) | v118(constB47))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17184,plain,
% 218.29/140.85 ((v118(constB47) | v117(constB47) | v116(constB47) | v115(constB47) | v114(constB47) | v113(constB47) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))) | v113(constB47) | v114(constB47) | v115(constB47) | v116(constB47) | v117(constB47) | v118(constB47))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17185,plain,
% 218.29/140.85 (^[B: $int] : rewrite(((v124(constB47, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))))),
% 218.29/140.85 inference(bind,[status(th)],[])).
% 218.29/140.85 tff(17186,plain,
% 218.29/140.85 (![B: $int] : ((v124(constB47, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B)))),
% 218.29/140.85 inference(quant_intro,[status(thm)],[17185])).
% 218.29/140.85 tff(17187,plain,
% 218.29/140.85 ((v118(constB47) | v117(constB47) | v116(constB47) | v115(constB47) | v114(constB47) | v113(constB47) | ![B: $int] : ((v124(constB47, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB47) | v117(constB47) | v116(constB47) | v115(constB47) | v114(constB47) | v113(constB47) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17186])).
% 218.29/140.85 tff(17188,plain,
% 218.29/140.85 ((v118(constB47) | v117(constB47) | v116(constB47) | v115(constB47) | v114(constB47) | v113(constB47) | ![B: $int] : ((v124(constB47, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))) | v113(constB47) | v114(constB47) | v115(constB47) | v116(constB47) | v117(constB47) | v118(constB47))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17187, 17184])).
% 218.29/140.85 tff(17189,plain,
% 218.29/140.85 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB47) | v117(constB47) | v116(constB47) | v115(constB47) | v114(constB47) | v113(constB47) | ![B: $int] : ((v124(constB47, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))) | v113(constB47) | v114(constB47) | v115(constB47) | v116(constB47) | v117(constB47) | v118(constB47)))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17188])).
% 218.29/140.85 tff(17190,plain,
% 218.29/140.85 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB47) | v117(constB47) | v116(constB47) | v115(constB47) | v114(constB47) | v113(constB47) | ![B: $int] : ((v124(constB47, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))) | v113(constB47) | v114(constB47) | v115(constB47) | v116(constB47) | v117(constB47) | v118(constB47))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17189, 17183])).
% 218.29/140.85 tff(17191,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB47) | v117(constB47) | v116(constB47) | v115(constB47) | v114(constB47) | v113(constB47) | ![B: $int] : ((v124(constB47, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17192,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))) | v113(constB47) | v114(constB47) | v115(constB47) | v116(constB47) | v117(constB47) | v118(constB47)),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 218.29/140.85 tff(17193,plain,
% 218.29/140.85 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))) | v113(constB47) | v114(constB47) | v115(constB47) | v116(constB47) | v117(constB47) | v118(constB47)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17192, 1807])).
% 218.29/140.85 tff(17194,plain,
% 218.29/140.85 ($false),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17193, 17182, 17174, 17149, 17166, 17165, 17164, 17156])).
% 218.29/140.85 tff(17195,plain,(v118(constB47) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b001(B))) | v117(constB47) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b100(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b011(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.85 tff(17196,plain,
% 218.29/140.85 (v118(constB47)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17195, 17148, 17096, 17074, 17059, 17045])).
% 218.29/140.85 tff(17197,plain,
% 218.29/140.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B))))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17198,plain,
% 218.29/140.85 (((~v118(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B))))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17199,plain,
% 218.29/140.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B)))))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17198])).
% 218.29/140.85 tff(17200,plain,
% 218.29/140.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B))))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17199, 17197])).
% 218.29/140.85 tff(17201,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB47)) | ![B: $int] : ((v124(constB47, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17202,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB47)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B)))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17201, 17200])).
% 218.29/140.85 tff(17203,plain,
% 218.29/140.85 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B)))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17202, 1977, 17196])).
% 218.29/140.85 tff(17204,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B)))) | (v124(constB47, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B)))) | (v124(constB47, 2) <=> b110(2)))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17205,plain,
% 218.29/140.85 (($false | $false | (v124(constB47, 2) <=> b110(2))) <=> (v124(constB47, 2) <=> b110(2))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17206,plain,
% 218.29/140.85 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b110(2))) <=> ($false | $false | (v124(constB47, 2) <=> b110(2)))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.85 tff(17207,plain,
% 218.29/140.85 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b110(2))) <=> (v124(constB47, 2) <=> b110(2))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17206, 17205])).
% 218.29/140.85 tff(17208,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B)))) | (v124(constB47, 2) <=> b110(2)))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17207])).
% 218.29/140.85 tff(17209,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B)))) | (v124(constB47, 2) <=> b110(2)))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17208, 17204])).
% 218.29/140.85 tff(17210,plain,
% 218.29/140.85 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB47, 2) <=> b110(2)))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17211,plain,
% 218.29/140.85 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB47, B) <=> b110(B)))) | (v124(constB47, 2) <=> b110(2))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17210, 17209])).
% 218.29/140.85 tff(17212,plain,
% 218.29/140.85 ($false),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17211, 17203, 16993])).
% 218.29/140.85 tff(17213,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))) | v84(constB48, 1) | v84(constB48, 0) | v84(constB48, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.85 tff(17214,plain,
% 218.29/140.85 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17213, 16929, 16917, 16905])).
% 218.29/140.85 tff(17215,plain,
% 218.29/140.85 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B))))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17216,plain,
% 218.29/140.85 (((~v94(constB48)) | ![B: $int] : ((v84(constB48, B) <=> v123(constB48, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B))))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17217,plain,
% 218.29/140.85 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB48)) | ![B: $int] : ((v84(constB48, B) <=> v123(constB48, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17216])).
% 218.29/140.85 tff(17218,plain,
% 218.29/140.85 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB48)) | ![B: $int] : ((v84(constB48, B) <=> v123(constB48, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B))))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17217, 17215])).
% 218.29/140.85 tff(17219,plain,
% 218.29/140.85 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB48)) | ![B: $int] : ((v84(constB48, B) <=> v123(constB48, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17220,plain,
% 218.29/140.85 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17219, 17218])).
% 218.29/140.85 tff(17221,plain,
% 218.29/140.85 ((~v94(constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17220, 1491])).
% 218.29/140.85 tff(17222,plain,
% 218.29/140.85 (~v94(constB48)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17221, 17214])).
% 218.29/140.85 tff(17223,plain,
% 218.29/140.85 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB48) | (~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB48) | (~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B))))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17224,plain,
% 218.29/140.85 ((v94(constB48) | (~nextState(constB47, constB48)) | ![B: $int] : ((v84(constB48, B) <=> v84(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB48) | (~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B))))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17225,plain,
% 218.29/140.85 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB48) | (~nextState(constB47, constB48)) | ![B: $int] : ((v84(constB48, B) <=> v84(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB48) | (~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17224])).
% 218.29/140.85 tff(17226,plain,
% 218.29/140.85 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB48) | (~nextState(constB47, constB48)) | ![B: $int] : ((v84(constB48, B) <=> v84(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB48) | (~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B))))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17225, 17223])).
% 218.29/140.85 tff(17227,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB48) | (~nextState(constB47, constB48)) | ![B: $int] : ((v84(constB48, B) <=> v84(constB47, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17228,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB48) | (~nextState(constB47, constB48)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17227, 17226])).
% 218.29/140.85 tff(17229,plain,
% 218.29/140.85 (v94(constB48) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17228, 16955, 235])).
% 218.29/140.85 tff(17230,plain,
% 218.29/140.85 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17229, 17222])).
% 218.29/140.85 tff(17231,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 2) <=> v84(constB47, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 2) <=> v84(constB47, 2)))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17232,plain,
% 218.29/140.85 (($false | $false | (v84(constB48, 2) <=> v84(constB47, 2))) <=> (v84(constB48, 2) <=> v84(constB47, 2))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17233,plain,
% 218.29/140.85 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB48, 2) <=> v84(constB47, 2))) <=> ($false | $false | (v84(constB48, 2) <=> v84(constB47, 2)))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.85 tff(17234,plain,
% 218.29/140.85 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB48, 2) <=> v84(constB47, 2))) <=> (v84(constB48, 2) <=> v84(constB47, 2))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17233, 17232])).
% 218.29/140.85 tff(17235,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB48, 2) <=> v84(constB47, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 2) <=> v84(constB47, 2)))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17234])).
% 218.29/140.85 tff(17236,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB48, 2) <=> v84(constB47, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 2) <=> v84(constB47, 2)))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17235, 17231])).
% 218.29/140.85 tff(17237,plain,
% 218.29/140.85 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB48, 2) <=> v84(constB47, 2)))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17238,plain,
% 218.29/140.85 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 2) <=> v84(constB47, 2))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17237, 17236])).
% 218.29/140.85 tff(17239,plain,
% 218.29/140.85 (v84(constB48, 2) <=> v84(constB47, 2)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17238, 17230])).
% 218.29/140.85 tff(17240,plain,
% 218.29/140.85 ((~(v84(constB48, 2) <=> v84(constB47, 2))) | v84(constB48, 2) | (~v84(constB47, 2))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17241,plain,
% 218.29/140.85 ((~(v84(constB48, 2) <=> v84(constB47, 2))) | (~v84(constB47, 2))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17240, 16905])).
% 218.29/140.85 tff(17242,plain,
% 218.29/140.85 (~v84(constB47, 2)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17241, 17239])).
% 218.29/140.85 tff(17243,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 0) <=> v84(constB47, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 0) <=> v84(constB47, 0)))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17244,plain,
% 218.29/140.85 (($false | $false | (v84(constB48, 0) <=> v84(constB47, 0))) <=> (v84(constB48, 0) <=> v84(constB47, 0))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17245,plain,
% 218.29/140.85 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB48, 0) <=> v84(constB47, 0))) <=> ($false | $false | (v84(constB48, 0) <=> v84(constB47, 0)))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.85 tff(17246,plain,
% 218.29/140.85 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB48, 0) <=> v84(constB47, 0))) <=> (v84(constB48, 0) <=> v84(constB47, 0))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17245, 17244])).
% 218.29/140.85 tff(17247,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB48, 0) <=> v84(constB47, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 0) <=> v84(constB47, 0)))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17246])).
% 218.29/140.85 tff(17248,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB48, 0) <=> v84(constB47, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 0) <=> v84(constB47, 0)))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17247, 17243])).
% 218.29/140.85 tff(17249,plain,
% 218.29/140.85 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB48, 0) <=> v84(constB47, 0)))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17250,plain,
% 218.29/140.85 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 0) <=> v84(constB47, 0))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17249, 17248])).
% 218.29/140.85 tff(17251,plain,
% 218.29/140.85 (v84(constB48, 0) <=> v84(constB47, 0)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17250, 17230])).
% 218.29/140.85 tff(17252,plain,
% 218.29/140.85 ((~(v84(constB48, 0) <=> v84(constB47, 0))) | v84(constB48, 0) | (~v84(constB47, 0))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17253,plain,
% 218.29/140.85 ((~(v84(constB48, 0) <=> v84(constB47, 0))) | (~v84(constB47, 0))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17252, 16917])).
% 218.29/140.85 tff(17254,plain,
% 218.29/140.85 (~v84(constB47, 0)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17253, 17251])).
% 218.29/140.85 tff(17255,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 1) <=> v84(constB47, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 1) <=> v84(constB47, 1)))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17256,plain,
% 218.29/140.85 (($false | $false | (v84(constB48, 1) <=> v84(constB47, 1))) <=> (v84(constB48, 1) <=> v84(constB47, 1))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17257,plain,
% 218.29/140.85 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB48, 1) <=> v84(constB47, 1))) <=> ($false | $false | (v84(constB48, 1) <=> v84(constB47, 1)))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.85 tff(17258,plain,
% 218.29/140.85 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB48, 1) <=> v84(constB47, 1))) <=> (v84(constB48, 1) <=> v84(constB47, 1))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17257, 17256])).
% 218.29/140.85 tff(17259,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB48, 1) <=> v84(constB47, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 1) <=> v84(constB47, 1)))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17258])).
% 218.29/140.85 tff(17260,plain,
% 218.29/140.85 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB48, 1) <=> v84(constB47, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 1) <=> v84(constB47, 1)))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17259, 17255])).
% 218.29/140.85 tff(17261,plain,
% 218.29/140.85 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB48, 1) <=> v84(constB47, 1)))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17262,plain,
% 218.29/140.85 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))) | (v84(constB48, 1) <=> v84(constB47, 1))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17261, 17260])).
% 218.29/140.85 tff(17263,plain,
% 218.29/140.85 (v84(constB48, 1) <=> v84(constB47, 1)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17262, 17230])).
% 218.29/140.85 tff(17264,plain,
% 218.29/140.85 ((~(v84(constB48, 1) <=> v84(constB47, 1))) | v84(constB48, 1) | (~v84(constB47, 1))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17265,plain,
% 218.29/140.85 ((~(v84(constB48, 1) <=> v84(constB47, 1))) | (~v84(constB47, 1))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17264, 16929])).
% 218.29/140.85 tff(17266,plain,
% 218.29/140.85 (~v84(constB47, 1)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17265, 17263])).
% 218.29/140.85 tff(17267,plain,
% 218.29/140.85 ((~(v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2))) | v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2)),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17268,plain,
% 218.29/140.85 (~(v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17267, 17266, 17254, 17242])).
% 218.29/140.85 tff(17269,plain,
% 218.29/140.85 ((~(v113(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2))))) | v113(constB47) | (v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17270,plain,
% 218.29/140.85 ((~(v113(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2))))) | v113(constB47)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17269, 17268])).
% 218.29/140.85 tff(17271,plain,
% 218.29/140.85 (v113(constB47)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17270, 16854])).
% 218.29/140.85 tff(17272,plain,
% 218.29/140.85 ((v113(constB47) | v114(constB47)) | (~v113(constB47))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17273,plain,
% 218.29/140.85 (v113(constB47) | v114(constB47)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17272, 17271])).
% 218.29/140.85 tff(17274,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB47) <=> (v112(constB47) | v115(constB47)))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17275,plain,
% 218.29/140.85 (v111(constB47) <=> (v112(constB47) | v115(constB47))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17274, 274])).
% 218.29/140.85 tff(17276,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB47) <=> (v111(constB47) | v116(constB47)))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17277,plain,
% 218.29/140.85 (v110(constB47) <=> (v111(constB47) | v116(constB47))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17276, 265])).
% 218.29/140.85 tff(17278,plain,
% 218.29/140.85 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48))))))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17279,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48))))))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17280,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48)))))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17279, 17278])).
% 218.29/140.85 tff(17281,plain,
% 218.29/140.85 (v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48))))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17280, 16955, 14])).
% 218.29/140.85 tff(17282,plain,
% 218.29/140.85 ((~(v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48)))))) | v94(constB48) | ((~v95(constB48)) | (~v104(constB48)))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17283,plain,
% 218.29/140.85 (v94(constB48) | ((~v95(constB48)) | (~v104(constB48)))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17282, 17281])).
% 218.29/140.85 tff(17284,plain,
% 218.29/140.85 ((~v95(constB48)) | (~v104(constB48))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17283, 17222])).
% 218.29/140.85 tff(17285,plain,
% 218.29/140.85 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17286,plain,
% 218.29/140.85 (((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48)))))) <=> ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17287,plain,
% 218.29/140.85 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48)))))))),
% 218.29/140.85 inference(monotonicity,[status(thm)],[17286])).
% 218.29/140.85 tff(17288,plain,
% 218.29/140.85 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))),
% 218.29/140.85 inference(transitivity,[status(thm)],[17287, 17285])).
% 218.29/140.85 tff(17289,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48))))))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17290,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48)))))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17289, 17288])).
% 218.29/140.85 tff(17291,plain,
% 218.29/140.85 (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17290, 16955, 37])).
% 218.29/140.85 tff(17292,plain,
% 218.29/140.85 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48)))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17293,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48)))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17294,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17293, 17292])).
% 218.29/140.85 tff(17295,plain,
% 218.29/140.85 ((~v96(constB48)) <=> v98(constB48)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17294, 16955, 54])).
% 218.29/140.85 tff(17296,plain,
% 218.29/140.85 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47)))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17297,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47)))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17298,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17297, 17296])).
% 218.29/140.85 tff(17299,plain,
% 218.29/140.85 (v98(constB48) <=> v1(constB47)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17298, 16955, 68])).
% 218.29/140.85 tff(17300,plain,
% 218.29/140.85 ((~v1(constB47)) <=> (~v1(constB47))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17301,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47')).
% 218.29/140.85 tff(17302,plain,
% 218.29/140.85 (~v1(constB47)),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17301, 17300])).
% 218.29/140.85 tff(17303,plain,
% 218.29/140.85 ((~(v98(constB48) <=> v1(constB47))) | (~v98(constB48)) | v1(constB47)),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17304,plain,
% 218.29/140.85 ((~(v98(constB48) <=> v1(constB47))) | (~v98(constB48))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17303, 17302])).
% 218.29/140.85 tff(17305,plain,
% 218.29/140.85 (~v98(constB48)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17304, 17299])).
% 218.29/140.85 tff(17306,plain,
% 218.29/140.85 ((~((~v96(constB48)) <=> v98(constB48))) | v96(constB48) | v98(constB48)),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17307,plain,
% 218.29/140.85 (v96(constB48)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17306, 17305, 17295])).
% 218.29/140.85 tff(17308,plain,
% 218.29/140.85 (v1(constB48) <=> v1(constB48)),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17309,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48')).
% 218.29/140.85 tff(17310,plain,
% 218.29/140.85 (v1(constB48)),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17309, 17308])).
% 218.29/140.85 tff(17311,plain,
% 218.29/140.85 ((~((~v1(constB48)) | (~v96(constB48)))) | (~v1(constB48)) | (~v96(constB48))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17312,plain,
% 218.29/140.85 ((~((~v1(constB48)) | (~v96(constB48)))) | (~v96(constB48))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17311, 17310])).
% 218.29/140.85 tff(17313,plain,
% 218.29/140.85 (~((~v1(constB48)) | (~v96(constB48)))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17312, 17307])).
% 218.29/140.85 tff(17314,plain,
% 218.29/140.85 ((~(v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48)))))) | v95(constB48) | ((~v1(constB48)) | (~v96(constB48)))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17315,plain,
% 218.29/140.85 (v95(constB48)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17314, 17313, 17291])).
% 218.29/140.85 tff(17316,plain,
% 218.29/140.85 ((~((~v95(constB48)) | (~v104(constB48)))) | (~v95(constB48)) | (~v104(constB48))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17317,plain,
% 218.29/140.85 ((~((~v95(constB48)) | (~v104(constB48)))) | (~v104(constB48))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17316, 17315])).
% 218.29/140.85 tff(17318,plain,
% 218.29/140.85 (~v104(constB48)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17317, 17284])).
% 218.29/140.85 tff(17319,plain,
% 218.29/140.85 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47)))),
% 218.29/140.85 inference(rewrite,[status(thm)],[])).
% 218.29/140.85 tff(17320,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47)))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17321,plain,
% 218.29/140.85 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47))),
% 218.29/140.85 inference(modus_ponens,[status(thm)],[17320, 17319])).
% 218.29/140.85 tff(17322,plain,
% 218.29/140.85 (v104(constB48) <=> v102(constB47)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17321, 16955, 101])).
% 218.29/140.85 tff(17323,plain,
% 218.29/140.85 ((~(v104(constB48) <=> v102(constB47))) | v104(constB48) | (~v102(constB47))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17324,plain,
% 218.29/140.85 (v104(constB48) | (~v102(constB47))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17323, 17322])).
% 218.29/140.85 tff(17325,plain,
% 218.29/140.85 (~v102(constB47)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17324, 17318])).
% 218.29/140.85 tff(17326,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB47) <=> (v105(constB47) | v106(constB47)))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17327,plain,
% 218.29/140.85 (v102(constB47) <=> (v105(constB47) | v106(constB47))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17326, 115])).
% 218.29/140.85 tff(17328,plain,
% 218.29/140.85 ((~(v102(constB47) <=> (v105(constB47) | v106(constB47)))) | v102(constB47) | (~(v105(constB47) | v106(constB47)))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17329,plain,
% 218.29/140.85 (v102(constB47) | (~(v105(constB47) | v106(constB47)))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17328, 17327])).
% 218.29/140.85 tff(17330,plain,
% 218.29/140.85 (~(v105(constB47) | v106(constB47))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17329, 17325])).
% 218.29/140.85 tff(17331,plain,
% 218.29/140.85 ((v105(constB47) | v106(constB47)) | (~v106(constB47))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17332,plain,
% 218.29/140.85 (~v106(constB47)),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17331, 17330])).
% 218.29/140.85 tff(17333,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB47) <=> (~((~v107(constB47)) | (~v120(constB47)))))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17334,plain,
% 218.29/140.85 (v106(constB47) <=> (~((~v107(constB47)) | (~v120(constB47))))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17333, 132])).
% 218.29/140.85 tff(17335,plain,
% 218.29/140.85 ((~(v106(constB47) <=> (~((~v107(constB47)) | (~v120(constB47)))))) | v106(constB47) | ((~v107(constB47)) | (~v120(constB47)))),
% 218.29/140.85 inference(tautology,[status(thm)],[])).
% 218.29/140.85 tff(17336,plain,
% 218.29/140.85 (v106(constB47) | ((~v107(constB47)) | (~v120(constB47)))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17335, 17334])).
% 218.29/140.85 tff(17337,plain,
% 218.29/140.85 ((~v107(constB47)) | (~v120(constB47))),
% 218.29/140.85 inference(unit_resolution,[status(thm)],[17336, 17332])).
% 218.29/140.85 tff(17338,plain,
% 218.29/140.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB47)) <=> v105(constB47))),
% 218.29/140.85 inference(quant_inst,[status(thm)],[])).
% 218.29/140.85 tff(17339,plain,
% 218.29/140.86 ((~v120(constB47)) <=> v105(constB47)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17338, 144])).
% 218.29/140.86 tff(17340,plain,
% 218.29/140.86 ((~((~v120(constB47)) <=> v105(constB47))) | v120(constB47) | v105(constB47)),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17341,plain,
% 218.29/140.86 ((~((~v120(constB47)) <=> v105(constB47))) | v120(constB47)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17340, 16936])).
% 218.29/140.86 tff(17342,plain,
% 218.29/140.86 (v120(constB47)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17341, 17339])).
% 218.29/140.86 tff(17343,plain,
% 218.29/140.86 ((~((~v107(constB47)) | (~v120(constB47)))) | (~v107(constB47)) | (~v120(constB47))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17344,plain,
% 218.29/140.86 ((~((~v107(constB47)) | (~v120(constB47)))) | (~v107(constB47))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17343, 17342])).
% 218.29/140.86 tff(17345,plain,
% 218.29/140.86 (~v107(constB47)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17344, 17337])).
% 218.29/140.86 tff(17346,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB47) <=> (v108(constB47) | v119(constB47)))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17347,plain,
% 218.29/140.86 (v107(constB47) <=> (v108(constB47) | v119(constB47))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17346, 187])).
% 218.29/140.86 tff(17348,plain,
% 218.29/140.86 ((~(v107(constB47) <=> (v108(constB47) | v119(constB47)))) | v107(constB47) | (~(v108(constB47) | v119(constB47)))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17349,plain,
% 218.29/140.86 (v107(constB47) | (~(v108(constB47) | v119(constB47)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17348, 17347])).
% 218.29/140.86 tff(17350,plain,
% 218.29/140.86 (~(v108(constB47) | v119(constB47))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17349, 17345])).
% 218.29/140.86 tff(17351,plain,
% 218.29/140.86 ((v108(constB47) | v119(constB47)) | (~v108(constB47))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17352,plain,
% 218.29/140.86 (~v108(constB47)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17351, 17350])).
% 218.29/140.86 tff(17353,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB47) <=> (v109(constB47) | v118(constB47)))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17354,plain,
% 218.29/140.86 (v108(constB47) <=> (v109(constB47) | v118(constB47))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17353, 428])).
% 218.29/140.86 tff(17355,plain,
% 218.29/140.86 ((~(v108(constB47) <=> (v109(constB47) | v118(constB47)))) | v108(constB47) | (~(v109(constB47) | v118(constB47)))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17356,plain,
% 218.29/140.86 (v108(constB47) | (~(v109(constB47) | v118(constB47)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17355, 17354])).
% 218.29/140.86 tff(17357,plain,
% 218.29/140.86 (~(v109(constB47) | v118(constB47))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17356, 17352])).
% 218.29/140.86 tff(17358,plain,
% 218.29/140.86 ((v109(constB47) | v118(constB47)) | (~v109(constB47))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17359,plain,
% 218.29/140.86 (~v109(constB47)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17358, 17357])).
% 218.29/140.86 tff(17360,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB47) <=> (v110(constB47) | v117(constB47)))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17361,plain,
% 218.29/140.86 (v109(constB47) <=> (v110(constB47) | v117(constB47))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17360, 456])).
% 218.29/140.86 tff(17362,plain,
% 218.29/140.86 ((~(v109(constB47) <=> (v110(constB47) | v117(constB47)))) | v109(constB47) | (~(v110(constB47) | v117(constB47)))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17363,plain,
% 218.29/140.86 (v109(constB47) | (~(v110(constB47) | v117(constB47)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17362, 17361])).
% 218.29/140.86 tff(17364,plain,
% 218.29/140.86 (~(v110(constB47) | v117(constB47))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17363, 17359])).
% 218.29/140.86 tff(17365,plain,
% 218.29/140.86 ((v110(constB47) | v117(constB47)) | (~v110(constB47))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17366,plain,
% 218.29/140.86 (~v110(constB47)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17365, 17364])).
% 218.29/140.86 tff(17367,plain,
% 218.29/140.86 ((~(v110(constB47) <=> (v111(constB47) | v116(constB47)))) | v110(constB47) | (~(v111(constB47) | v116(constB47)))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17368,plain,
% 218.29/140.86 ((~(v110(constB47) <=> (v111(constB47) | v116(constB47)))) | (~(v111(constB47) | v116(constB47)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17367, 17366])).
% 218.29/140.86 tff(17369,plain,
% 218.29/140.86 (~(v111(constB47) | v116(constB47))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17368, 17277])).
% 218.29/140.86 tff(17370,plain,
% 218.29/140.86 ((v111(constB47) | v116(constB47)) | (~v111(constB47))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17371,plain,
% 218.29/140.86 (~v111(constB47)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17370, 17369])).
% 218.29/140.86 tff(17372,plain,
% 218.29/140.86 ((~(v111(constB47) <=> (v112(constB47) | v115(constB47)))) | v111(constB47) | (~(v112(constB47) | v115(constB47)))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17373,plain,
% 218.29/140.86 ((~(v111(constB47) <=> (v112(constB47) | v115(constB47)))) | (~(v112(constB47) | v115(constB47)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17372, 17371])).
% 218.29/140.86 tff(17374,plain,
% 218.29/140.86 (~(v112(constB47) | v115(constB47))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17373, 17275])).
% 218.29/140.86 tff(17375,plain,
% 218.29/140.86 ((v112(constB47) | v115(constB47)) | (~v112(constB47))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17376,plain,
% 218.29/140.86 (~v112(constB47)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17375, 17374])).
% 218.29/140.86 tff(17377,assumption,(~(v112(constB47) <=> (v113(constB47) | v114(constB47)))), introduced(assumption)).
% 218.29/140.86 tff(17378,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB47) <=> (v113(constB47) | v114(constB47)))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17379,plain,
% 218.29/140.86 ($false),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17378, 283, 17377])).
% 218.29/140.86 tff(17380,plain,(v112(constB47) <=> (v113(constB47) | v114(constB47))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.86 tff(17381,plain,
% 218.29/140.86 ((~(v112(constB47) <=> (v113(constB47) | v114(constB47)))) | v112(constB47) | (~(v113(constB47) | v114(constB47)))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17382,plain,
% 218.29/140.86 (v112(constB47) | (~(v113(constB47) | v114(constB47)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17381, 17380])).
% 218.29/140.86 tff(17383,plain,
% 218.29/140.86 ($false),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17382, 17376, 17273])).
% 218.29/140.86 tff(17384,plain,(v84(constB49, 1) | (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))) | v84(constB49, 0)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.86 tff(17385,plain,
% 218.29/140.86 (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17384, 16852, 16850])).
% 218.29/140.86 tff(17386,plain,
% 218.29/140.86 ((v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2))) | v84(constB49, 2)),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17387,plain,
% 218.29/140.86 ($false),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17386, 17385, 16848])).
% 218.29/140.86 tff(17388,plain,(v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.86 tff(17389,assumption,(v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2)), introduced(assumption)).
% 218.29/140.86 tff(17390,plain,
% 218.29/140.86 ((~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0)))) | v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17391,plain,
% 218.29/140.86 (~v84(constB49, 0)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17390, 16856, 16844, 16845])).
% 218.29/140.86 tff(17392,plain,
% 218.29/140.86 ((~(v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2))) | v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2)),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17393,plain,
% 218.29/140.86 ((~(v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2))) | v84(constB49, 0) | v84(constB49, 1)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17392, 16844])).
% 218.29/140.86 tff(17394,plain,
% 218.29/140.86 ($false),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17393, 17391, 16856, 17389])).
% 218.29/140.86 tff(17395,plain,(v84(constB49, 1) | (~(v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2))) | v84(constB49, 2) | (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.86 tff(17396,plain,
% 218.29/140.86 (v84(constB49, 1) | v84(constB49, 2) | (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17395, 17388])).
% 218.29/140.86 tff(17397,plain,
% 218.29/140.86 (v84(constB49, 1)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17396, 16844, 16845])).
% 218.29/140.86 tff(17398,assumption,(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1))), introduced(assumption)).
% 218.29/140.86 tff(17399,plain,
% 218.29/140.86 ((~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1)))) | v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17400,plain,
% 218.29/140.86 (~v84(constB49, 0)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17399, 17397, 16844, 17398])).
% 218.29/140.86 tff(17401,plain,
% 218.29/140.86 ((~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))) | v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17402,plain,
% 218.29/140.86 ($false),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17401, 17400, 17397, 16844, 16843])).
% 218.29/140.86 tff(17403,plain,(v84(constB49, 2) | (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))) | (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1)))) | (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.86 tff(17404,plain,
% 218.29/140.86 (v84(constB49, 2)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17403, 16842, 16828, 16816])).
% 218.29/140.86 tff(17405,plain,
% 218.29/140.86 ((~(v84(constB50, 2) <=> v84(constB49, 2))) | v84(constB50, 2) | (~v84(constB49, 2))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17406,plain,
% 218.29/140.86 ((~(v84(constB50, 2) <=> v84(constB49, 2))) | v84(constB50, 2)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17405, 17404])).
% 218.29/140.86 tff(17407,plain,
% 218.29/140.86 (v84(constB50, 2)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17406, 16790])).
% 218.29/140.86 tff(17408,assumption,(~v84(constB50, 0)), introduced(assumption)).
% 218.29/140.86 tff(17409,assumption,(v84(constB49, 0)), introduced(assumption)).
% 218.29/140.86 tff(17410,plain,
% 218.29/140.86 ((~(v84(constB50, 0) <=> v84(constB49, 0))) | v84(constB50, 0) | (~v84(constB49, 0))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17411,plain,
% 218.29/140.86 (~(v84(constB50, 0) <=> v84(constB49, 0))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17410, 17408, 17409])).
% 218.29/140.86 tff(17412,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))), introduced(assumption)).
% 218.29/140.86 tff(17413,plain,
% 218.29/140.86 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 0) <=> v84(constB49, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 0) <=> v84(constB49, 0)))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17414,plain,
% 218.29/140.86 (($false | $false | (v84(constB50, 0) <=> v84(constB49, 0))) <=> (v84(constB50, 0) <=> v84(constB49, 0))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17415,plain,
% 218.29/140.86 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB50, 0) <=> v84(constB49, 0))) <=> ($false | $false | (v84(constB50, 0) <=> v84(constB49, 0)))),
% 218.29/140.86 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.86 tff(17416,plain,
% 218.29/140.86 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB50, 0) <=> v84(constB49, 0))) <=> (v84(constB50, 0) <=> v84(constB49, 0))),
% 218.29/140.86 inference(transitivity,[status(thm)],[17415, 17414])).
% 218.29/140.86 tff(17417,plain,
% 218.29/140.86 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB50, 0) <=> v84(constB49, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 0) <=> v84(constB49, 0)))),
% 218.29/140.86 inference(monotonicity,[status(thm)],[17416])).
% 218.29/140.86 tff(17418,plain,
% 218.29/140.86 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB50, 0) <=> v84(constB49, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 0) <=> v84(constB49, 0)))),
% 218.29/140.86 inference(transitivity,[status(thm)],[17417, 17413])).
% 218.29/140.86 tff(17419,plain,
% 218.29/140.86 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB50, 0) <=> v84(constB49, 0)))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17420,plain,
% 218.29/140.86 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 0) <=> v84(constB49, 0))),
% 218.29/140.86 inference(modus_ponens,[status(thm)],[17419, 17418])).
% 218.29/140.86 tff(17421,plain,
% 218.29/140.86 ($false),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17420, 17412, 17411])).
% 218.29/140.86 tff(17422,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | v84(constB50, 0) | (~v84(constB49, 0))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.86 tff(17423,plain,
% 218.29/140.86 (~v84(constB49, 0)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17422, 16781, 17408])).
% 218.29/140.86 tff(17424,plain,
% 218.29/140.86 (v84(constB49, 1)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17384, 17423, 16855])).
% 218.29/140.86 tff(17425,plain,
% 218.29/140.86 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1))))))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17426,plain,
% 218.29/140.86 ((v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 1)) | (~v84(constB49, 2))))) <=> (v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1)))))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17427,plain,
% 218.29/140.86 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 1)) | (~v84(constB49, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1))))))),
% 218.29/140.86 inference(monotonicity,[status(thm)],[17426])).
% 218.29/140.86 tff(17428,plain,
% 218.29/140.86 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 1)) | (~v84(constB49, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1))))))),
% 218.29/140.86 inference(transitivity,[status(thm)],[17427, 17425])).
% 218.29/140.86 tff(17429,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 1)) | (~v84(constB49, 2)))))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17430,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1)))))),
% 218.29/140.86 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 218.29/140.86 tff(17431,plain,
% 218.29/140.86 (v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1))))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17430, 318])).
% 218.29/140.86 tff(17432,plain,
% 218.29/140.86 (~(v108(constB49) | v119(constB49))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[16756, 16755, 16676])).
% 218.29/140.86 tff(17433,plain,
% 218.29/140.86 ((v108(constB49) | v119(constB49)) | (~v119(constB49))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17434,plain,
% 218.29/140.86 (~v119(constB49)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17433, 17432])).
% 218.29/140.86 tff(17435,plain,
% 218.29/140.86 ((~(v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1)))))) | v119(constB49) | (v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1)))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17436,plain,
% 218.29/140.86 ((~(v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1)))))) | (v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17435, 17434])).
% 218.29/140.86 tff(17437,plain,
% 218.29/140.86 (v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17436, 17431])).
% 218.29/140.86 tff(17438,assumption,(v84(constB50, 2)), introduced(assumption)).
% 218.29/140.86 tff(17439,plain,
% 218.29/140.86 ((~(v84(constB50, 2) <=> v84(constB49, 2))) | (~v84(constB50, 2)) | v84(constB49, 2)),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17440,plain,
% 218.29/140.86 ((~(v84(constB50, 2) <=> v84(constB49, 2))) | v84(constB49, 2)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17439, 17438])).
% 218.29/140.86 tff(17441,plain,
% 218.29/140.86 (v84(constB49, 2)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17440, 16790])).
% 218.29/140.86 tff(17442,plain,
% 218.29/140.86 ((~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1)))) | v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17443,plain,
% 218.29/140.86 ($false),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17442, 17441, 17437, 17424, 17423])).
% 218.29/140.86 tff(17444,plain,(v94(constB50) | (~v84(constB50, 2)) | (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))) | v84(constB50, 0)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.86 tff(17445,plain,
% 218.29/140.86 (v84(constB50, 0)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17444, 17407, 16677, 16773])).
% 218.29/140.86 tff(17446,assumption,(~(v84(constB51, 0) <=> v84(constB50, 0))), introduced(assumption)).
% 218.29/140.86 tff(17447,plain,
% 218.29/140.86 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17448,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50')).
% 218.29/140.86 tff(17449,plain,
% 218.29/140.86 (nextState(constB50, constB51)),
% 218.29/140.86 inference(modus_ponens,[status(thm)],[17448, 17447])).
% 218.29/140.86 tff(17450,plain,
% 218.29/140.86 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51))))))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17451,plain,
% 218.29/140.86 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51))))))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17452,plain,
% 218.29/140.86 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51)))))),
% 218.29/140.86 inference(modus_ponens,[status(thm)],[17451, 17450])).
% 218.29/140.86 tff(17453,plain,
% 218.29/140.86 (v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51))))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17452, 17449, 14])).
% 218.29/140.86 tff(17454,plain,
% 218.29/140.86 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17455,plain,
% 218.29/140.86 (((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51)))))) <=> ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17456,plain,
% 218.29/140.86 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))))),
% 218.29/140.86 inference(monotonicity,[status(thm)],[17455])).
% 218.29/140.86 tff(17457,plain,
% 218.29/140.86 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))),
% 218.29/140.86 inference(transitivity,[status(thm)],[17456, 17454])).
% 218.29/140.86 tff(17458,plain,
% 218.29/140.86 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51))))))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17459,plain,
% 218.29/140.86 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))),
% 218.29/140.86 inference(modus_ponens,[status(thm)],[17458, 17457])).
% 218.29/140.86 tff(17460,plain,
% 218.29/140.86 (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17459, 17449, 37])).
% 218.29/140.86 tff(17461,plain,
% 218.29/140.86 ((~v1(constB51)) <=> (~v1(constB51))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17462,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51')).
% 218.29/140.86 tff(17463,plain,
% 218.29/140.86 (~v1(constB51)),
% 218.29/140.86 inference(modus_ponens,[status(thm)],[17462, 17461])).
% 218.29/140.86 tff(17464,plain,
% 218.29/140.86 (((~v1(constB51)) | (~v96(constB51))) | v1(constB51)),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17465,plain,
% 218.29/140.86 ((~v1(constB51)) | (~v96(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17464, 17463])).
% 218.29/140.86 tff(17466,plain,
% 218.29/140.86 ((~(v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))) | (~v95(constB51)) | (~((~v1(constB51)) | (~v96(constB51))))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17467,plain,
% 218.29/140.86 ((~(v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))) | (~v95(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17466, 17465])).
% 218.29/140.86 tff(17468,plain,
% 218.29/140.86 (~v95(constB51)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17467, 17460])).
% 218.29/140.86 tff(17469,plain,
% 218.29/140.86 (((~v95(constB51)) | (~v104(constB51))) | v95(constB51)),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17470,plain,
% 218.29/140.86 ((~v95(constB51)) | (~v104(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17469, 17468])).
% 218.29/140.86 tff(17471,plain,
% 218.29/140.86 ((~(v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51)))))) | (~v94(constB51)) | (~((~v95(constB51)) | (~v104(constB51))))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17472,plain,
% 218.29/140.86 (~v94(constB51)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17471, 17470, 17453])).
% 218.29/140.86 tff(17473,plain,
% 218.29/140.86 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB51) | (~nextState(constB50, constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB51) | (~nextState(constB50, constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B))))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17474,plain,
% 218.29/140.86 ((v94(constB51) | (~nextState(constB50, constB51)) | ![B: $int] : ((v84(constB51, B) <=> v84(constB50, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB51) | (~nextState(constB50, constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B))))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17475,plain,
% 218.29/140.86 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB51) | (~nextState(constB50, constB51)) | ![B: $int] : ((v84(constB51, B) <=> v84(constB50, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB51) | (~nextState(constB50, constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))))),
% 218.29/140.86 inference(monotonicity,[status(thm)],[17474])).
% 218.29/140.86 tff(17476,plain,
% 218.29/140.86 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB51) | (~nextState(constB50, constB51)) | ![B: $int] : ((v84(constB51, B) <=> v84(constB50, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB51) | (~nextState(constB50, constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B))))),
% 218.29/140.86 inference(transitivity,[status(thm)],[17475, 17473])).
% 218.29/140.86 tff(17477,plain,
% 218.29/140.86 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB51) | (~nextState(constB50, constB51)) | ![B: $int] : ((v84(constB51, B) <=> v84(constB50, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17478,plain,
% 218.29/140.86 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB51) | (~nextState(constB50, constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))),
% 218.29/140.86 inference(modus_ponens,[status(thm)],[17477, 17476])).
% 218.29/140.86 tff(17479,plain,
% 218.29/140.86 (v94(constB51) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17478, 17449, 235])).
% 218.29/140.86 tff(17480,plain,
% 218.29/140.86 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17479, 17472])).
% 218.29/140.86 tff(17481,plain,
% 218.29/140.86 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 0) <=> v84(constB50, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 0) <=> v84(constB50, 0)))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17482,plain,
% 218.29/140.86 (($false | $false | (v84(constB51, 0) <=> v84(constB50, 0))) <=> (v84(constB51, 0) <=> v84(constB50, 0))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17483,plain,
% 218.29/140.86 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB51, 0) <=> v84(constB50, 0))) <=> ($false | $false | (v84(constB51, 0) <=> v84(constB50, 0)))),
% 218.29/140.86 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.86 tff(17484,plain,
% 218.29/140.86 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB51, 0) <=> v84(constB50, 0))) <=> (v84(constB51, 0) <=> v84(constB50, 0))),
% 218.29/140.86 inference(transitivity,[status(thm)],[17483, 17482])).
% 218.29/140.86 tff(17485,plain,
% 218.29/140.86 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB51, 0) <=> v84(constB50, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 0) <=> v84(constB50, 0)))),
% 218.29/140.86 inference(monotonicity,[status(thm)],[17484])).
% 218.29/140.86 tff(17486,plain,
% 218.29/140.86 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB51, 0) <=> v84(constB50, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 0) <=> v84(constB50, 0)))),
% 218.29/140.86 inference(transitivity,[status(thm)],[17485, 17481])).
% 218.29/140.86 tff(17487,plain,
% 218.29/140.86 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB51, 0) <=> v84(constB50, 0)))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17488,plain,
% 218.29/140.86 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 0) <=> v84(constB50, 0))),
% 218.29/140.86 inference(modus_ponens,[status(thm)],[17487, 17486])).
% 218.29/140.86 tff(17489,plain,
% 218.29/140.86 ($false),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17488, 17480, 17446])).
% 218.29/140.86 tff(17490,plain,(v84(constB51, 0) <=> v84(constB50, 0)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.86 tff(17491,plain,
% 218.29/140.86 ((~(v84(constB51, 0) <=> v84(constB50, 0))) | v84(constB51, 0) | (~v84(constB50, 0))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17492,plain,
% 218.29/140.86 (v84(constB51, 0) | (~v84(constB50, 0))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17491, 17490])).
% 218.29/140.86 tff(17493,plain,
% 218.29/140.86 (v84(constB51, 0)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17492, 17445])).
% 218.29/140.86 tff(17494,plain,
% 218.29/140.86 (((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0)) | (~v84(constB51, 0))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17495,plain,
% 218.29/140.86 ((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17494, 17493])).
% 218.29/140.86 tff(17496,plain,
% 218.29/140.86 ((~(v119(constB51) <=> (~((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0))))) | (~v119(constB51)) | (~((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0)))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17497,plain,
% 218.29/140.86 ((~(v119(constB51) <=> (~((~v84(constB51, 2)) | (~v84(constB51, 1)) | v84(constB51, 0))))) | (~v119(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17496, 17495])).
% 218.29/140.86 tff(17498,plain,
% 218.29/140.86 (~v119(constB51)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17497, 16663])).
% 218.29/140.86 tff(17499,plain,
% 218.29/140.86 (((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0)) | (~v84(constB51, 0))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17500,plain,
% 218.29/140.86 ((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17499, 17493])).
% 218.29/140.86 tff(17501,assumption,(~(v117(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0))))), introduced(assumption)).
% 218.29/140.86 tff(17502,plain,
% 218.29/140.86 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0)))))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17503,plain,
% 218.29/140.86 ((v117(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 1) | (~v84(constB51, 2))))) <=> (v117(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0))))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17504,plain,
% 218.29/140.86 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 1) | (~v84(constB51, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0)))))),
% 218.29/140.86 inference(monotonicity,[status(thm)],[17503])).
% 218.29/140.86 tff(17505,plain,
% 218.29/140.86 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 1) | (~v84(constB51, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0)))))),
% 218.29/140.86 inference(transitivity,[status(thm)],[17504, 17502])).
% 218.29/140.86 tff(17506,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 1) | (~v84(constB51, 2)))))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17507,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0))))),
% 218.29/140.86 inference(modus_ponens,[status(thm)],[17506, 17505])).
% 218.29/140.86 tff(17508,plain,
% 218.29/140.86 ($false),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17507, 656, 17501])).
% 218.29/140.86 tff(17509,plain,(v117(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0)))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.86 tff(17510,plain,
% 218.29/140.86 ((~(v117(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0))))) | (~v117(constB51)) | (~((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0)))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17511,plain,
% 218.29/140.86 ((~v117(constB51)) | (~((~v84(constB51, 2)) | v84(constB51, 1) | v84(constB51, 0)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17510, 17509])).
% 218.29/140.86 tff(17512,plain,
% 218.29/140.86 (~v117(constB51)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17511, 17500])).
% 218.29/140.86 tff(17513,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB51) <=> (v111(constB51) | v116(constB51)))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17514,plain,
% 218.29/140.86 (v110(constB51) <=> (v111(constB51) | v116(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17513, 265])).
% 218.29/140.86 tff(17515,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB51) <=> (v112(constB51) | v115(constB51)))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17516,plain,
% 218.29/140.86 (v111(constB51) <=> (v112(constB51) | v115(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17515, 274])).
% 218.29/140.86 tff(17517,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB51) <=> (v113(constB51) | v114(constB51)))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17518,plain,
% 218.29/140.86 (v112(constB51) <=> (v113(constB51) | v114(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17517, 283])).
% 218.29/140.86 tff(17519,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB51) <=> (~(v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0)))))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17520,plain,
% 218.29/140.86 (v114(constB51) <=> (~(v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0))))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17519, 298])).
% 218.29/140.86 tff(17521,assumption,(~(v84(constB51, 2) <=> v84(constB50, 2))), introduced(assumption)).
% 218.29/140.86 tff(17522,plain,
% 218.29/140.86 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 2) <=> v84(constB50, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 2) <=> v84(constB50, 2)))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17523,plain,
% 218.29/140.86 (($false | $false | (v84(constB51, 2) <=> v84(constB50, 2))) <=> (v84(constB51, 2) <=> v84(constB50, 2))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17524,plain,
% 218.29/140.86 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB51, 2) <=> v84(constB50, 2))) <=> ($false | $false | (v84(constB51, 2) <=> v84(constB50, 2)))),
% 218.29/140.86 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.86 tff(17525,plain,
% 218.29/140.86 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB51, 2) <=> v84(constB50, 2))) <=> (v84(constB51, 2) <=> v84(constB50, 2))),
% 218.29/140.86 inference(transitivity,[status(thm)],[17524, 17523])).
% 218.29/140.86 tff(17526,plain,
% 218.29/140.86 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB51, 2) <=> v84(constB50, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 2) <=> v84(constB50, 2)))),
% 218.29/140.86 inference(monotonicity,[status(thm)],[17525])).
% 218.29/140.86 tff(17527,plain,
% 218.29/140.86 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB51, 2) <=> v84(constB50, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 2) <=> v84(constB50, 2)))),
% 218.29/140.86 inference(transitivity,[status(thm)],[17526, 17522])).
% 218.29/140.86 tff(17528,plain,
% 218.29/140.86 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB51, 2) <=> v84(constB50, 2)))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17529,plain,
% 218.29/140.86 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 2) <=> v84(constB50, 2))),
% 218.29/140.86 inference(modus_ponens,[status(thm)],[17528, 17527])).
% 218.29/140.86 tff(17530,plain,
% 218.29/140.86 ($false),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17529, 17480, 17521])).
% 218.29/140.86 tff(17531,plain,(v84(constB51, 2) <=> v84(constB50, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.86 tff(17532,plain,
% 218.29/140.86 ((~(v84(constB51, 2) <=> v84(constB50, 2))) | v84(constB51, 2) | (~v84(constB50, 2))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17533,plain,
% 218.29/140.86 (v84(constB51, 2) | (~v84(constB50, 2))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17532, 17531])).
% 218.29/140.86 tff(17534,plain,
% 218.29/140.86 (v84(constB51, 2)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17533, 17407])).
% 218.29/140.86 tff(17535,plain,
% 218.29/140.86 ((v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0))) | (~v84(constB51, 2))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17536,plain,
% 218.29/140.86 (v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17535, 17534])).
% 218.29/140.86 tff(17537,plain,
% 218.29/140.86 ((~(v114(constB51) <=> (~(v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0)))))) | (~v114(constB51)) | (~(v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0))))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17538,plain,
% 218.29/140.86 ((~(v114(constB51) <=> (~(v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0)))))) | (~v114(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17537, 17536])).
% 218.29/140.86 tff(17539,plain,
% 218.29/140.86 (~v114(constB51)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17538, 17520])).
% 218.29/140.86 tff(17540,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 1) | v84(constB51, 2))))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17541,plain,
% 218.29/140.86 (v113(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 1) | v84(constB51, 2)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17540, 597])).
% 218.29/140.86 tff(17542,plain,
% 218.29/140.86 ((v84(constB51, 0) | v84(constB51, 1) | v84(constB51, 2)) | (~v84(constB51, 2))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17543,plain,
% 218.29/140.86 (v84(constB51, 0) | v84(constB51, 1) | v84(constB51, 2)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17542, 17534])).
% 218.29/140.86 tff(17544,plain,
% 218.29/140.86 ((~(v113(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 1) | v84(constB51, 2))))) | (~v113(constB51)) | (~(v84(constB51, 0) | v84(constB51, 1) | v84(constB51, 2)))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17545,plain,
% 218.29/140.86 ((~(v113(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 1) | v84(constB51, 2))))) | (~v113(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17544, 17543])).
% 218.29/140.86 tff(17546,plain,
% 218.29/140.86 (~v113(constB51)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17545, 17541])).
% 218.29/140.86 tff(17547,plain,
% 218.29/140.86 ((~(v113(constB51) | v114(constB51))) | v113(constB51) | v114(constB51)),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17548,plain,
% 218.29/140.86 (~(v113(constB51) | v114(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17547, 17546, 17539])).
% 218.29/140.86 tff(17549,plain,
% 218.29/140.86 ((~(v112(constB51) <=> (v113(constB51) | v114(constB51)))) | (~v112(constB51)) | (v113(constB51) | v114(constB51))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17550,plain,
% 218.29/140.86 ((~(v112(constB51) <=> (v113(constB51) | v114(constB51)))) | (~v112(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17549, 17548])).
% 218.29/140.86 tff(17551,plain,
% 218.29/140.86 (~v112(constB51)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17550, 17518])).
% 218.29/140.86 tff(17552,plain,
% 218.29/140.86 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0)))))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17553,plain,
% 218.29/140.86 ((v115(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 2) | (~v84(constB51, 1))))) <=> (v115(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0))))),
% 218.29/140.86 inference(rewrite,[status(thm)],[])).
% 218.29/140.86 tff(17554,plain,
% 218.29/140.86 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 2) | (~v84(constB51, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0)))))),
% 218.29/140.86 inference(monotonicity,[status(thm)],[17553])).
% 218.29/140.86 tff(17555,plain,
% 218.29/140.86 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 2) | (~v84(constB51, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0)))))),
% 218.29/140.86 inference(transitivity,[status(thm)],[17554, 17552])).
% 218.29/140.86 tff(17556,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB51) <=> (~(v84(constB51, 0) | v84(constB51, 2) | (~v84(constB51, 1)))))),
% 218.29/140.86 inference(quant_inst,[status(thm)],[])).
% 218.29/140.86 tff(17557,plain,
% 218.29/140.86 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0))))),
% 218.29/140.86 inference(modus_ponens,[status(thm)],[17556, 17555])).
% 218.29/140.86 tff(17558,plain,
% 218.29/140.86 (v115(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0)))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17557, 622])).
% 218.29/140.86 tff(17559,plain,
% 218.29/140.86 (((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0)) | (~v84(constB51, 2))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17560,plain,
% 218.29/140.86 ((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17559, 17534])).
% 218.29/140.86 tff(17561,plain,
% 218.29/140.86 ((~(v115(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0))))) | (~v115(constB51)) | (~((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0)))),
% 218.29/140.86 inference(tautology,[status(thm)],[])).
% 218.29/140.86 tff(17562,plain,
% 218.29/140.86 ((~(v115(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | v84(constB51, 0))))) | (~v115(constB51))),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17561, 17560])).
% 218.29/140.86 tff(17563,plain,
% 218.29/140.86 (~v115(constB51)),
% 218.29/140.86 inference(unit_resolution,[status(thm)],[17562, 17558])).
% 218.29/140.87 tff(17564,plain,
% 218.29/140.87 ((~(v112(constB51) | v115(constB51))) | v112(constB51) | v115(constB51)),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17565,plain,
% 218.29/140.87 ((~(v112(constB51) | v115(constB51))) | v112(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17564, 17563])).
% 218.29/140.87 tff(17566,plain,
% 218.29/140.87 (~(v112(constB51) | v115(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17565, 17551])).
% 218.29/140.87 tff(17567,plain,
% 218.29/140.87 ((~(v111(constB51) <=> (v112(constB51) | v115(constB51)))) | (~v111(constB51)) | (v112(constB51) | v115(constB51))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17568,plain,
% 218.29/140.87 (~v111(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17567, 17566, 17516])).
% 218.29/140.87 tff(17569,plain,
% 218.29/140.87 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0))))))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17570,plain,
% 218.29/140.87 ((v116(constB51) <=> (~(v84(constB51, 2) | (~v84(constB51, 1)) | (~v84(constB51, 0))))) <=> (v116(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0)))))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17571,plain,
% 218.29/140.87 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB51) <=> (~(v84(constB51, 2) | (~v84(constB51, 1)) | (~v84(constB51, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0))))))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[17570])).
% 218.29/140.87 tff(17572,plain,
% 218.29/140.87 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB51) <=> (~(v84(constB51, 2) | (~v84(constB51, 1)) | (~v84(constB51, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0))))))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17571, 17569])).
% 218.29/140.87 tff(17573,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB51) <=> (~(v84(constB51, 2) | (~v84(constB51, 1)) | (~v84(constB51, 0)))))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17574,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0)))))),
% 218.29/140.87 inference(modus_ponens,[status(thm)],[17573, 17572])).
% 218.29/140.87 tff(17575,plain,
% 218.29/140.87 (v116(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0))))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17574, 521])).
% 218.29/140.87 tff(17576,plain,
% 218.29/140.87 (((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0))) | (~v84(constB51, 2))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17577,plain,
% 218.29/140.87 ((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17576, 17534])).
% 218.29/140.87 tff(17578,plain,
% 218.29/140.87 ((~(v116(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0)))))) | (~v116(constB51)) | (~((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0))))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17579,plain,
% 218.29/140.87 ((~(v116(constB51) <=> (~((~v84(constB51, 1)) | v84(constB51, 2) | (~v84(constB51, 0)))))) | (~v116(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17578, 17577])).
% 218.29/140.87 tff(17580,plain,
% 218.29/140.87 (~v116(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17579, 17575])).
% 218.29/140.87 tff(17581,plain,
% 218.29/140.87 ((~(v111(constB51) | v116(constB51))) | v111(constB51) | v116(constB51)),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17582,plain,
% 218.29/140.87 ((~(v111(constB51) | v116(constB51))) | v111(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17581, 17580])).
% 218.29/140.87 tff(17583,plain,
% 218.29/140.87 (~(v111(constB51) | v116(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17582, 17568])).
% 218.29/140.87 tff(17584,plain,
% 218.29/140.87 ((~(v110(constB51) <=> (v111(constB51) | v116(constB51)))) | (~v110(constB51)) | (v111(constB51) | v116(constB51))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17585,plain,
% 218.29/140.87 (~v110(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17584, 17583, 17514])).
% 218.29/140.87 tff(17586,plain,
% 218.29/140.87 ((~(v110(constB51) | v117(constB51))) | v110(constB51) | v117(constB51)),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17587,plain,
% 218.29/140.87 (~(v110(constB51) | v117(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17586, 17585, 17512])).
% 218.29/140.87 tff(17588,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB51) <=> (v110(constB51) | v117(constB51)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17589,plain,
% 218.29/140.87 (v109(constB51) <=> (v110(constB51) | v117(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17588, 456])).
% 218.29/140.87 tff(17590,plain,
% 218.29/140.87 ((~(v109(constB51) <=> (v110(constB51) | v117(constB51)))) | (~v109(constB51)) | (v110(constB51) | v117(constB51))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17591,plain,
% 218.29/140.87 ((~v109(constB51)) | (v110(constB51) | v117(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17590, 17589])).
% 218.29/140.87 tff(17592,plain,
% 218.29/140.87 (~v109(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17591, 17587])).
% 218.29/140.87 tff(17593,plain,
% 218.29/140.87 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0))))))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17594,plain,
% 218.29/140.87 ((v118(constB51) <=> (~(v84(constB51, 1) | (~v84(constB51, 0)) | (~v84(constB51, 2))))) <=> (v118(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0)))))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17595,plain,
% 218.29/140.87 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB51) <=> (~(v84(constB51, 1) | (~v84(constB51, 0)) | (~v84(constB51, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0))))))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[17594])).
% 218.29/140.87 tff(17596,plain,
% 218.29/140.87 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB51) <=> (~(v84(constB51, 1) | (~v84(constB51, 0)) | (~v84(constB51, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0))))))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17595, 17593])).
% 218.29/140.87 tff(17597,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB51) <=> (~(v84(constB51, 1) | (~v84(constB51, 0)) | (~v84(constB51, 2)))))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17598,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0)))))),
% 218.29/140.87 inference(modus_ponens,[status(thm)],[17597, 17596])).
% 218.29/140.87 tff(17599,plain,
% 218.29/140.87 (v118(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0))))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17598, 394])).
% 218.29/140.87 tff(17600,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 1) <=> v84(constB49, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 1) <=> v84(constB49, 1)))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17601,plain,
% 218.29/140.87 (($false | $false | (v84(constB50, 1) <=> v84(constB49, 1))) <=> (v84(constB50, 1) <=> v84(constB49, 1))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17602,plain,
% 218.29/140.87 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB50, 1) <=> v84(constB49, 1))) <=> ($false | $false | (v84(constB50, 1) <=> v84(constB49, 1)))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.87 tff(17603,plain,
% 218.29/140.87 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB50, 1) <=> v84(constB49, 1))) <=> (v84(constB50, 1) <=> v84(constB49, 1))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17602, 17601])).
% 218.29/140.87 tff(17604,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB50, 1) <=> v84(constB49, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 1) <=> v84(constB49, 1)))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[17603])).
% 218.29/140.87 tff(17605,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB50, 1) <=> v84(constB49, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 1) <=> v84(constB49, 1)))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17604, 17600])).
% 218.29/140.87 tff(17606,plain,
% 218.29/140.87 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB50, 1) <=> v84(constB49, 1)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17607,plain,
% 218.29/140.87 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v84(constB49, B)))) | (v84(constB50, 1) <=> v84(constB49, 1))),
% 218.29/140.87 inference(modus_ponens,[status(thm)],[17606, 17605])).
% 218.29/140.87 tff(17608,plain,
% 218.29/140.87 (v84(constB50, 1) <=> v84(constB49, 1)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17607, 16781])).
% 218.29/140.87 tff(17609,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB49) <=> (~(v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2)))))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17610,plain,
% 218.29/140.87 (v118(constB49) <=> (~(v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2))))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17609, 394])).
% 218.29/140.87 tff(17611,plain,
% 218.29/140.87 ((v109(constB49) | v118(constB49)) | (~v118(constB49))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17612,plain,
% 218.29/140.87 (~v118(constB49)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17611, 16763])).
% 218.29/140.87 tff(17613,plain,
% 218.29/140.87 ((~(v118(constB49) <=> (~(v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2)))))) | v118(constB49) | (v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2)))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17614,plain,
% 218.29/140.87 ((~(v118(constB49) <=> (~(v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2)))))) | (v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2)))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17613, 17612])).
% 218.29/140.87 tff(17615,plain,
% 218.29/140.87 (v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17614, 17610])).
% 218.29/140.87 tff(17616,plain,
% 218.29/140.87 (v84(constB50, 0) <=> v84(constB49, 0)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17420, 16781])).
% 218.29/140.87 tff(17617,plain,
% 218.29/140.87 ((~(v84(constB50, 0) <=> v84(constB49, 0))) | (~v84(constB50, 0)) | v84(constB49, 0)),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17618,plain,
% 218.29/140.87 ((~(v84(constB50, 0) <=> v84(constB49, 0))) | v84(constB49, 0)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17617, 17445])).
% 218.29/140.87 tff(17619,plain,
% 218.29/140.87 (v84(constB49, 0)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17618, 17616])).
% 218.29/140.87 tff(17620,plain,
% 218.29/140.87 ((~(v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2)))) | v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17621,plain,
% 218.29/140.87 (v84(constB49, 1)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17620, 17619, 17404, 17615])).
% 218.29/140.87 tff(17622,plain,
% 218.29/140.87 ((~(v84(constB50, 1) <=> v84(constB49, 1))) | v84(constB50, 1) | (~v84(constB49, 1))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17623,plain,
% 218.29/140.87 ((~(v84(constB50, 1) <=> v84(constB49, 1))) | v84(constB50, 1)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17622, 17621])).
% 218.29/140.87 tff(17624,plain,
% 218.29/140.87 (v84(constB50, 1)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17623, 17608])).
% 218.29/140.87 tff(17625,assumption,(~(v84(constB51, 1) <=> v84(constB50, 1))), introduced(assumption)).
% 218.29/140.87 tff(17626,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 1) <=> v84(constB50, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 1) <=> v84(constB50, 1)))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17627,plain,
% 218.29/140.87 (($false | $false | (v84(constB51, 1) <=> v84(constB50, 1))) <=> (v84(constB51, 1) <=> v84(constB50, 1))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17628,plain,
% 218.29/140.87 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB51, 1) <=> v84(constB50, 1))) <=> ($false | $false | (v84(constB51, 1) <=> v84(constB50, 1)))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.87 tff(17629,plain,
% 218.29/140.87 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB51, 1) <=> v84(constB50, 1))) <=> (v84(constB51, 1) <=> v84(constB50, 1))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17628, 17627])).
% 218.29/140.87 tff(17630,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB51, 1) <=> v84(constB50, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 1) <=> v84(constB50, 1)))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[17629])).
% 218.29/140.87 tff(17631,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB51, 1) <=> v84(constB50, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 1) <=> v84(constB50, 1)))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17630, 17626])).
% 218.29/140.87 tff(17632,plain,
% 218.29/140.87 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB51, 1) <=> v84(constB50, 1)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17633,plain,
% 218.29/140.87 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB51, B) <=> v84(constB50, B)))) | (v84(constB51, 1) <=> v84(constB50, 1))),
% 218.29/140.87 inference(modus_ponens,[status(thm)],[17632, 17631])).
% 218.29/140.87 tff(17634,plain,
% 218.29/140.87 ($false),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17633, 17480, 17625])).
% 218.29/140.87 tff(17635,plain,(v84(constB51, 1) <=> v84(constB50, 1)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.87 tff(17636,plain,
% 218.29/140.87 ((~(v84(constB51, 1) <=> v84(constB50, 1))) | v84(constB51, 1) | (~v84(constB50, 1))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17637,plain,
% 218.29/140.87 (v84(constB51, 1) | (~v84(constB50, 1))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17636, 17635])).
% 218.29/140.87 tff(17638,plain,
% 218.29/140.87 (v84(constB51, 1)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17637, 17624])).
% 218.29/140.87 tff(17639,plain,
% 218.29/140.87 (((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0))) | (~v84(constB51, 1))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17640,plain,
% 218.29/140.87 ((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17639, 17638])).
% 218.29/140.87 tff(17641,plain,
% 218.29/140.87 ((~(v118(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0)))))) | (~v118(constB51)) | (~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0))))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17642,plain,
% 218.29/140.87 (~v118(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17641, 17640, 17599])).
% 218.29/140.87 tff(17643,plain,
% 218.29/140.87 ((~(v109(constB51) | v118(constB51))) | v109(constB51) | v118(constB51)),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17644,plain,
% 218.29/140.87 (~(v109(constB51) | v118(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17643, 17642, 17592])).
% 218.29/140.87 tff(17645,assumption,(~(v108(constB51) <=> (v109(constB51) | v118(constB51)))), introduced(assumption)).
% 218.29/140.87 tff(17646,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB51) <=> (v109(constB51) | v118(constB51)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17647,plain,
% 218.29/140.87 ($false),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17646, 428, 17645])).
% 218.29/140.87 tff(17648,plain,(v108(constB51) <=> (v109(constB51) | v118(constB51))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.87 tff(17649,plain,
% 218.29/140.87 ((~(v108(constB51) <=> (v109(constB51) | v118(constB51)))) | (~v108(constB51)) | (v109(constB51) | v118(constB51))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17650,plain,
% 218.29/140.87 ((~v108(constB51)) | (v109(constB51) | v118(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17649, 17648])).
% 218.29/140.87 tff(17651,plain,
% 218.29/140.87 (~v108(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17650, 17644])).
% 218.29/140.87 tff(17652,plain,
% 218.29/140.87 ((~(v108(constB51) | v119(constB51))) | v108(constB51) | v119(constB51)),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17653,plain,
% 218.29/140.87 (~(v108(constB51) | v119(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17652, 17651, 17498])).
% 218.29/140.87 tff(17654,assumption,(~(v107(constB51) <=> (v108(constB51) | v119(constB51)))), introduced(assumption)).
% 218.29/140.87 tff(17655,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB51) <=> (v108(constB51) | v119(constB51)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17656,plain,
% 218.29/140.87 ($false),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17655, 187, 17654])).
% 218.29/140.87 tff(17657,plain,(v107(constB51) <=> (v108(constB51) | v119(constB51))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.87 tff(17658,plain,
% 218.29/140.87 ((~(v107(constB51) <=> (v108(constB51) | v119(constB51)))) | (~v107(constB51)) | (v108(constB51) | v119(constB51))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17659,plain,
% 218.29/140.87 ((~v107(constB51)) | (v108(constB51) | v119(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17658, 17657])).
% 218.29/140.87 tff(17660,plain,
% 218.29/140.87 (~v107(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17659, 17653])).
% 218.29/140.87 tff(17661,plain,
% 218.29/140.87 (((~v107(constB51)) | (~v120(constB51))) | v107(constB51)),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17662,plain,
% 218.29/140.87 ((~v107(constB51)) | (~v120(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17661, 17660])).
% 218.29/140.87 tff(17663,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB51) <=> (~((~v107(constB51)) | (~v120(constB51)))))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17664,plain,
% 218.29/140.87 (v106(constB51) <=> (~((~v107(constB51)) | (~v120(constB51))))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17663, 132])).
% 218.29/140.87 tff(17665,plain,
% 218.29/140.87 ((~(v106(constB51) <=> (~((~v107(constB51)) | (~v120(constB51)))))) | (~v106(constB51)) | (~((~v107(constB51)) | (~v120(constB51))))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17666,plain,
% 218.29/140.87 ((~v106(constB51)) | (~((~v107(constB51)) | (~v120(constB51))))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17665, 17664])).
% 218.29/140.87 tff(17667,plain,
% 218.29/140.87 (~v106(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17666, 17662])).
% 218.29/140.87 tff(17668,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB51) <=> v26(constB51))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17669,plain,
% 218.29/140.87 (v105(constB51) <=> v26(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17668, 156])).
% 218.29/140.87 tff(17670,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17671,plain,
% 218.29/140.87 (~v26(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17670, 168])).
% 218.29/140.87 tff(17672,plain,
% 218.29/140.87 ((~(v105(constB51) <=> v26(constB51))) | (~v105(constB51)) | v26(constB51)),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17673,plain,
% 218.29/140.87 ((~(v105(constB51) <=> v26(constB51))) | (~v105(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17672, 17671])).
% 218.29/140.87 tff(17674,plain,
% 218.29/140.87 (~v105(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17673, 17669])).
% 218.29/140.87 tff(17675,plain,
% 218.29/140.87 ((~(v105(constB51) | v106(constB51))) | v105(constB51) | v106(constB51)),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17676,plain,
% 218.29/140.87 ((~(v105(constB51) | v106(constB51))) | v106(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17675, 17674])).
% 218.29/140.87 tff(17677,plain,
% 218.29/140.87 (~(v105(constB51) | v106(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17676, 17667])).
% 218.29/140.87 tff(17678,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB51) <=> (v105(constB51) | v106(constB51)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17679,plain,
% 218.29/140.87 (v102(constB51) <=> (v105(constB51) | v106(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17678, 115])).
% 218.29/140.87 tff(17680,plain,
% 218.29/140.87 ((~(v102(constB51) <=> (v105(constB51) | v106(constB51)))) | (~v102(constB51)) | (v105(constB51) | v106(constB51))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17681,plain,
% 218.29/140.87 ((~v102(constB51)) | (v105(constB51) | v106(constB51))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17680, 17679])).
% 218.29/140.87 tff(17682,plain,
% 218.29/140.87 (~v102(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17681, 17677])).
% 218.29/140.87 tff(17683,plain,
% 218.29/140.87 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17684,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51')).
% 218.29/140.87 tff(17685,plain,
% 218.29/140.87 (nextState(constB51, constB52)),
% 218.29/140.87 inference(modus_ponens,[status(thm)],[17684, 17683])).
% 218.29/140.87 tff(17686,plain,
% 218.29/140.87 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51)))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17687,plain,
% 218.29/140.87 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17688,plain,
% 218.29/140.87 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51))),
% 218.29/140.87 inference(modus_ponens,[status(thm)],[17687, 17686])).
% 218.29/140.87 tff(17689,plain,
% 218.29/140.87 (v104(constB52) <=> v102(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17688, 17685, 101])).
% 218.29/140.87 tff(17690,plain,
% 218.29/140.87 ((~(v104(constB52) <=> v102(constB51))) | (~v104(constB52)) | v102(constB51)),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17691,plain,
% 218.29/140.87 ((~v104(constB52)) | v102(constB51)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17690, 17689])).
% 218.29/140.87 tff(17692,plain,
% 218.29/140.87 (~v104(constB52)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17691, 17682])).
% 218.29/140.87 tff(17693,plain,
% 218.29/140.87 (((~v95(constB52)) | (~v104(constB52))) | v104(constB52)),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17694,plain,
% 218.29/140.87 ((~v95(constB52)) | (~v104(constB52))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17693, 17692])).
% 218.29/140.87 tff(17695,plain,
% 218.29/140.87 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52))))))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17696,plain,
% 218.29/140.87 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52))))))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17697,plain,
% 218.29/140.87 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52)))))),
% 218.29/140.87 inference(modus_ponens,[status(thm)],[17696, 17695])).
% 218.29/140.87 tff(17698,plain,
% 218.29/140.87 (v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52))))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17697, 17685, 14])).
% 218.29/140.87 tff(17699,plain,
% 218.29/140.87 ((~(v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52)))))) | (~v94(constB52)) | (~((~v95(constB52)) | (~v104(constB52))))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17700,plain,
% 218.29/140.87 ((~v94(constB52)) | (~((~v95(constB52)) | (~v104(constB52))))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17699, 17698])).
% 218.29/140.87 tff(17701,plain,
% 218.29/140.87 (~v94(constB52)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17700, 17694])).
% 218.29/140.87 tff(17702,plain,
% 218.29/140.87 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB52) | (~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB52) | (~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B))))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17703,plain,
% 218.29/140.87 ((v94(constB52) | (~nextState(constB51, constB52)) | ![B: $int] : ((v84(constB52, B) <=> v84(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB52) | (~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B))))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17704,plain,
% 218.29/140.87 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB52) | (~nextState(constB51, constB52)) | ![B: $int] : ((v84(constB52, B) <=> v84(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB52) | (~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[17703])).
% 218.29/140.87 tff(17705,plain,
% 218.29/140.87 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB52) | (~nextState(constB51, constB52)) | ![B: $int] : ((v84(constB52, B) <=> v84(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB52) | (~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B))))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17704, 17702])).
% 218.29/140.87 tff(17706,plain,
% 218.29/140.87 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB52) | (~nextState(constB51, constB52)) | ![B: $int] : ((v84(constB52, B) <=> v84(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17707,plain,
% 218.29/140.87 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB52) | (~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))),
% 218.29/140.87 inference(modus_ponens,[status(thm)],[17706, 17705])).
% 218.29/140.87 tff(17708,plain,
% 218.29/140.87 (v94(constB52) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17707, 17685, 235])).
% 218.29/140.87 tff(17709,plain,
% 218.29/140.87 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17708, 17701])).
% 218.29/140.87 tff(17710,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 0) <=> v84(constB51, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 0) <=> v84(constB51, 0)))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17711,plain,
% 218.29/140.87 (($false | $false | (v84(constB52, 0) <=> v84(constB51, 0))) <=> (v84(constB52, 0) <=> v84(constB51, 0))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17712,plain,
% 218.29/140.87 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB52, 0) <=> v84(constB51, 0))) <=> ($false | $false | (v84(constB52, 0) <=> v84(constB51, 0)))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.87 tff(17713,plain,
% 218.29/140.87 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB52, 0) <=> v84(constB51, 0))) <=> (v84(constB52, 0) <=> v84(constB51, 0))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17712, 17711])).
% 218.29/140.87 tff(17714,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB52, 0) <=> v84(constB51, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 0) <=> v84(constB51, 0)))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[17713])).
% 218.29/140.87 tff(17715,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB52, 0) <=> v84(constB51, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 0) <=> v84(constB51, 0)))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17714, 17710])).
% 218.29/140.87 tff(17716,plain,
% 218.29/140.87 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB52, 0) <=> v84(constB51, 0)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17717,plain,
% 218.29/140.87 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 0) <=> v84(constB51, 0))),
% 218.29/140.87 inference(modus_ponens,[status(thm)],[17716, 17715])).
% 218.29/140.87 tff(17718,plain,
% 218.29/140.87 (v84(constB52, 0) <=> v84(constB51, 0)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17717, 17709])).
% 218.29/140.87 tff(17719,plain,
% 218.29/140.87 ((~(v84(constB52, 0) <=> v84(constB51, 0))) | v84(constB52, 0) | (~v84(constB51, 0))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17720,plain,
% 218.29/140.87 ((~(v84(constB52, 0) <=> v84(constB51, 0))) | v84(constB52, 0)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17719, 17493])).
% 218.29/140.87 tff(17721,plain,
% 218.29/140.87 (v84(constB52, 0)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17720, 17718])).
% 218.29/140.87 tff(17722,plain,
% 218.29/140.87 ((~(v84(constB53, 0) <=> v84(constB52, 0))) | v84(constB53, 0) | (~v84(constB52, 0))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17723,plain,
% 218.29/140.87 ((~(v84(constB53, 0) <=> v84(constB52, 0))) | v84(constB53, 0)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17722, 17721])).
% 218.29/140.87 tff(17724,plain,
% 218.29/140.87 (v84(constB53, 0)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17723, 16656])).
% 218.29/140.87 tff(17725,plain,
% 218.29/140.87 ((v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2))) | (~v84(constB53, 0))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17726,plain,
% 218.29/140.87 (v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17725, 17724])).
% 218.29/140.87 tff(17727,plain,
% 218.29/140.87 ((~(v119(constB53) <=> (~(v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2)))))) | (~v119(constB53)) | (~(v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2))))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17728,plain,
% 218.29/140.87 ((~(v119(constB53) <=> (~(v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2)))))) | (~v119(constB53))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17727, 17726])).
% 218.29/140.87 tff(17729,plain,
% 218.29/140.87 (~v119(constB53)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17728, 16613])).
% 218.29/140.87 tff(17730,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB53) <=> (v109(constB53) | v118(constB53)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17731,plain,
% 218.29/140.87 (v108(constB53) <=> (v109(constB53) | v118(constB53))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17730, 428])).
% 218.29/140.87 tff(17732,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB53) <=> (v110(constB53) | v117(constB53)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17733,plain,
% 218.29/140.87 (v109(constB53) <=> (v110(constB53) | v117(constB53))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17732, 456])).
% 218.29/140.87 tff(17734,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB53) <=> (v111(constB53) | v116(constB53)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17735,plain,
% 218.29/140.87 (v110(constB53) <=> (v111(constB53) | v116(constB53))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17734, 265])).
% 218.29/140.87 tff(17736,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB53) <=> (v112(constB53) | v115(constB53)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17737,plain,
% 218.29/140.87 (v111(constB53) <=> (v112(constB53) | v115(constB53))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17736, 274])).
% 218.29/140.87 tff(17738,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB53) <=> (v113(constB53) | v114(constB53)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17739,plain,
% 218.29/140.87 (v112(constB53) <=> (v113(constB53) | v114(constB53))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17738, 283])).
% 218.29/140.87 tff(17740,plain,
% 218.29/140.87 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0)))))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17741,plain,
% 218.29/140.87 (v114(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0))))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17740, 298])).
% 218.29/140.87 tff(17742,assumption,(~v84(constB52, 2)), introduced(assumption)).
% 218.29/140.87 tff(17743,assumption,(v84(constB51, 2)), introduced(assumption)).
% 218.29/140.87 tff(17744,plain,
% 218.29/140.87 ((~(v84(constB52, 2) <=> v84(constB51, 2))) | v84(constB52, 2) | (~v84(constB51, 2))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17745,plain,
% 218.29/140.87 (~(v84(constB52, 2) <=> v84(constB51, 2))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17744, 17743, 17742])).
% 218.29/140.87 tff(17746,assumption,(~v109(constB51)), introduced(assumption)).
% 218.29/140.87 tff(17747,assumption,(~v119(constB51)), introduced(assumption)).
% 218.29/140.87 tff(17748,assumption,(v94(constB52)), introduced(assumption)).
% 218.29/140.87 tff(17749,plain,
% 218.29/140.87 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B))))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17750,plain,
% 218.29/140.87 (((~v94(constB52)) | ![B: $int] : ((v84(constB52, B) <=> v123(constB52, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B))))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17751,plain,
% 218.29/140.87 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB52)) | ![B: $int] : ((v84(constB52, B) <=> v123(constB52, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[17750])).
% 218.29/140.87 tff(17752,plain,
% 218.29/140.87 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB52)) | ![B: $int] : ((v84(constB52, B) <=> v123(constB52, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B))))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17751, 17749])).
% 218.29/140.87 tff(17753,plain,
% 218.29/140.87 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB52)) | ![B: $int] : ((v84(constB52, B) <=> v123(constB52, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17754,plain,
% 218.29/140.87 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))),
% 218.29/140.87 inference(modus_ponens,[status(thm)],[17753, 17752])).
% 218.29/140.87 tff(17755,plain,
% 218.29/140.87 ((~v94(constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17754, 1491])).
% 218.29/140.87 tff(17756,plain,
% 218.29/140.87 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17755, 17748])).
% 218.29/140.87 tff(17757,assumption,(~(v84(constB52, 2) <=> v123(constB52, 2))), introduced(assumption)).
% 218.29/140.87 tff(17758,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))), introduced(assumption)).
% 218.29/140.87 tff(17759,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))) | (v84(constB52, 2) <=> v123(constB52, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))) | (v84(constB52, 2) <=> v123(constB52, 2)))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17760,plain,
% 218.29/140.87 (($false | $false | (v84(constB52, 2) <=> v123(constB52, 2))) <=> (v84(constB52, 2) <=> v123(constB52, 2))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17761,plain,
% 218.29/140.87 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB52, 2) <=> v123(constB52, 2))) <=> ($false | $false | (v84(constB52, 2) <=> v123(constB52, 2)))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.87 tff(17762,plain,
% 218.29/140.87 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB52, 2) <=> v123(constB52, 2))) <=> (v84(constB52, 2) <=> v123(constB52, 2))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17761, 17760])).
% 218.29/140.87 tff(17763,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB52, 2) <=> v123(constB52, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))) | (v84(constB52, 2) <=> v123(constB52, 2)))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[17762])).
% 218.29/140.87 tff(17764,plain,
% 218.29/140.87 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB52, 2) <=> v123(constB52, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))) | (v84(constB52, 2) <=> v123(constB52, 2)))),
% 218.29/140.87 inference(transitivity,[status(thm)],[17763, 17759])).
% 218.29/140.87 tff(17765,plain,
% 218.29/140.87 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB52, 2) <=> v123(constB52, 2)))),
% 218.29/140.87 inference(quant_inst,[status(thm)],[])).
% 218.29/140.87 tff(17766,plain,
% 218.29/140.87 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B)))) | (v84(constB52, 2) <=> v123(constB52, 2))),
% 218.29/140.87 inference(modus_ponens,[status(thm)],[17765, 17764])).
% 218.29/140.87 tff(17767,plain,
% 218.29/140.87 ($false),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17766, 17758, 17757])).
% 218.29/140.87 tff(17768,plain,((v84(constB52, 2) <=> v123(constB52, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v123(constB52, B))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.87 tff(17769,plain,
% 218.29/140.87 (v84(constB52, 2) <=> v123(constB52, 2)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17768, 17756])).
% 218.29/140.87 tff(17770,plain,
% 218.29/140.87 ((~(v84(constB52, 2) <=> v123(constB52, 2))) | v84(constB52, 2) | (~v123(constB52, 2))),
% 218.29/140.87 inference(tautology,[status(thm)],[])).
% 218.29/140.87 tff(17771,plain,
% 218.29/140.87 (~v123(constB52, 2)),
% 218.29/140.87 inference(unit_resolution,[status(thm)],[17770, 17769, 17742])).
% 218.29/140.87 tff(17772,assumption,(~(v123(constB52, 2) <=> v121(constB51, 2))), introduced(assumption)).
% 218.29/140.87 tff(17773,plain,
% 218.29/140.87 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B))))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17774,plain,
% 218.29/140.87 (((~nextState(constB51, constB52)) | ![B: $int] : ((v123(constB52, B) <=> v121(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B))))),
% 218.29/140.87 inference(rewrite,[status(thm)],[])).
% 218.29/140.87 tff(17775,plain,
% 218.29/140.87 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB51, constB52)) | ![B: $int] : ((v123(constB52, B) <=> v121(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B)))))),
% 218.29/140.87 inference(monotonicity,[status(thm)],[17774])).
% 218.29/140.88 tff(17776,plain,
% 218.29/140.88 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB51, constB52)) | ![B: $int] : ((v123(constB52, B) <=> v121(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B))))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17775, 17773])).
% 218.29/140.88 tff(17777,plain,
% 218.29/140.88 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB51, constB52)) | ![B: $int] : ((v123(constB52, B) <=> v121(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17778,plain,
% 218.29/140.88 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB51, constB52)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B)))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17777, 17776])).
% 218.29/140.88 tff(17779,plain,
% 218.29/140.88 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B)))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17778, 17685, 1527])).
% 218.29/140.88 tff(17780,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B)))) | (v123(constB52, 2) <=> v121(constB51, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B)))) | (v123(constB52, 2) <=> v121(constB51, 2)))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17781,plain,
% 218.29/140.88 (($false | $false | (v123(constB52, 2) <=> v121(constB51, 2))) <=> (v123(constB52, 2) <=> v121(constB51, 2))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17782,plain,
% 218.29/140.88 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB52, 2) <=> v121(constB51, 2))) <=> ($false | $false | (v123(constB52, 2) <=> v121(constB51, 2)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.88 tff(17783,plain,
% 218.29/140.88 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB52, 2) <=> v121(constB51, 2))) <=> (v123(constB52, 2) <=> v121(constB51, 2))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17782, 17781])).
% 218.29/140.88 tff(17784,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB52, 2) <=> v121(constB51, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B)))) | (v123(constB52, 2) <=> v121(constB51, 2)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17783])).
% 218.29/140.88 tff(17785,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB52, 2) <=> v121(constB51, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B)))) | (v123(constB52, 2) <=> v121(constB51, 2)))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17784, 17780])).
% 218.29/140.88 tff(17786,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB52, 2) <=> v121(constB51, 2)))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17787,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB52, B) <=> v121(constB51, B)))) | (v123(constB52, 2) <=> v121(constB51, 2))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17786, 17785])).
% 218.29/140.88 tff(17788,plain,
% 218.29/140.88 ($false),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17787, 17779, 17772])).
% 218.29/140.88 tff(17789,plain,(v123(constB52, 2) <=> v121(constB51, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.88 tff(17790,plain,
% 218.29/140.88 ((~(v123(constB52, 2) <=> v121(constB51, 2))) | v123(constB52, 2) | (~v121(constB51, 2))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17791,plain,
% 218.29/140.88 (v123(constB52, 2) | (~v121(constB51, 2))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17790, 17789])).
% 218.29/140.88 tff(17792,plain,
% 218.29/140.88 (~v121(constB51, 2)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17791, 17771])).
% 218.29/140.88 tff(17793,assumption,(~(v121(constB51, 2) <=> v124(constB51, 2))), introduced(assumption)).
% 218.29/140.88 tff(17794,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB51) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB51) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17795,plain,
% 218.29/140.88 ((v105(constB51) | ![B: $int] : ((v121(constB51, B) <=> v124(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB51) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17796,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB51) | ![B: $int] : ((v121(constB51, B) <=> v124(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB51) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B)))))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17795])).
% 218.29/140.88 tff(17797,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB51) | ![B: $int] : ((v121(constB51, B) <=> v124(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB51) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B))))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17796, 17794])).
% 218.29/140.88 tff(17798,plain,
% 218.29/140.88 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB51) | ![B: $int] : ((v121(constB51, B) <=> v124(constB51, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17799,plain,
% 218.29/140.88 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB51) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B)))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17798, 17797])).
% 218.29/140.88 tff(17800,plain,
% 218.29/140.88 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B)))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17799, 1562, 17674])).
% 218.29/140.88 tff(17801,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B)))) | (v121(constB51, 2) <=> v124(constB51, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B)))) | (v121(constB51, 2) <=> v124(constB51, 2)))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17802,plain,
% 218.29/140.88 (($false | $false | (v121(constB51, 2) <=> v124(constB51, 2))) <=> (v121(constB51, 2) <=> v124(constB51, 2))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17803,plain,
% 218.29/140.88 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB51, 2) <=> v124(constB51, 2))) <=> ($false | $false | (v121(constB51, 2) <=> v124(constB51, 2)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.88 tff(17804,plain,
% 218.29/140.88 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB51, 2) <=> v124(constB51, 2))) <=> (v121(constB51, 2) <=> v124(constB51, 2))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17803, 17802])).
% 218.29/140.88 tff(17805,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB51, 2) <=> v124(constB51, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B)))) | (v121(constB51, 2) <=> v124(constB51, 2)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17804])).
% 218.29/140.88 tff(17806,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB51, 2) <=> v124(constB51, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B)))) | (v121(constB51, 2) <=> v124(constB51, 2)))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17805, 17801])).
% 218.29/140.88 tff(17807,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB51, 2) <=> v124(constB51, 2)))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17808,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB51, B) <=> v124(constB51, B)))) | (v121(constB51, 2) <=> v124(constB51, 2))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17807, 17806])).
% 218.29/140.88 tff(17809,plain,
% 218.29/140.88 ($false),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17808, 17800, 17793])).
% 218.29/140.88 tff(17810,plain,(v121(constB51, 2) <=> v124(constB51, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.88 tff(17811,plain,
% 218.29/140.88 ((~(v121(constB51, 2) <=> v124(constB51, 2))) | v121(constB51, 2) | (~v124(constB51, 2))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17812,plain,
% 218.29/140.88 (v121(constB51, 2) | (~v124(constB51, 2))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17811, 17810])).
% 218.29/140.88 tff(17813,plain,
% 218.29/140.88 (~v124(constB51, 2)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17812, 17792])).
% 218.29/140.88 tff(17814,plain,
% 218.29/140.88 ((~(v124(constB51, 2) <=> b110(2))) | v124(constB51, 2) | (~b110(2))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17815,plain,
% 218.29/140.88 (~(v124(constB51, 2) <=> b110(2))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17814, 1598, 17813])).
% 218.29/140.88 tff(17816,plain,
% 218.29/140.88 (~((~v95(constB52)) | (~v104(constB52)))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17700, 17748])).
% 218.29/140.88 tff(17817,plain,
% 218.29/140.88 (v104(constB52)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17693, 17816])).
% 218.29/140.88 tff(17818,plain,
% 218.29/140.88 (v102(constB51)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17691, 17817])).
% 218.29/140.88 tff(17819,plain,
% 218.29/140.88 (v105(constB51) | v106(constB51)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17681, 17818])).
% 218.29/140.88 tff(17820,plain,
% 218.29/140.88 (v106(constB51)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17676, 17819])).
% 218.29/140.88 tff(17821,plain,
% 218.29/140.88 (~((~v107(constB51)) | (~v120(constB51)))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17666, 17820])).
% 218.29/140.88 tff(17822,plain,
% 218.29/140.88 (v107(constB51)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17661, 17821])).
% 218.29/140.88 tff(17823,plain,
% 218.29/140.88 (v108(constB51) | v119(constB51)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17659, 17822])).
% 218.29/140.88 tff(17824,plain,
% 218.29/140.88 (v108(constB51)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17652, 17823, 17747])).
% 218.29/140.88 tff(17825,plain,
% 218.29/140.88 (v109(constB51) | v118(constB51)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17650, 17824])).
% 218.29/140.88 tff(17826,plain,
% 218.29/140.88 (v118(constB51)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17643, 17825, 17746])).
% 218.29/140.88 tff(17827,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17828,plain,
% 218.29/140.88 (((~v118(constB51)) | ![B: $int] : ((v124(constB51, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17829,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB51)) | ![B: $int] : ((v124(constB51, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17828])).
% 218.29/140.88 tff(17830,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB51)) | ![B: $int] : ((v124(constB51, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B))))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17829, 17827])).
% 218.29/140.88 tff(17831,plain,
% 218.29/140.88 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB51)) | ![B: $int] : ((v124(constB51, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17832,plain,
% 218.29/140.88 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17831, 17830])).
% 218.29/140.88 tff(17833,plain,
% 218.29/140.88 ((~v118(constB51)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17832, 1977])).
% 218.29/140.88 tff(17834,plain,
% 218.29/140.88 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17833, 17826])).
% 218.29/140.88 tff(17835,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))) | (v124(constB51, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))) | (v124(constB51, 2) <=> b110(2)))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17836,plain,
% 218.29/140.88 (($false | $false | (v124(constB51, 2) <=> b110(2))) <=> (v124(constB51, 2) <=> b110(2))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17837,plain,
% 218.29/140.88 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB51, 2) <=> b110(2))) <=> ($false | $false | (v124(constB51, 2) <=> b110(2)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.88 tff(17838,plain,
% 218.29/140.88 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB51, 2) <=> b110(2))) <=> (v124(constB51, 2) <=> b110(2))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17837, 17836])).
% 218.29/140.88 tff(17839,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB51, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))) | (v124(constB51, 2) <=> b110(2)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17838])).
% 218.29/140.88 tff(17840,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB51, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))) | (v124(constB51, 2) <=> b110(2)))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17839, 17835])).
% 218.29/140.88 tff(17841,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB51, 2) <=> b110(2)))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17842,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB51, B) <=> b110(B)))) | (v124(constB51, 2) <=> b110(2))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17841, 17840])).
% 218.29/140.88 tff(17843,plain,
% 218.29/140.88 ($false),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17842, 17834, 17815])).
% 218.29/140.88 tff(17844,plain,((~v94(constB52)) | v109(constB51) | v119(constB51) | v84(constB52, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.88 tff(17845,plain,
% 218.29/140.88 (~v94(constB52)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17844, 17742, 17747, 17746])).
% 218.29/140.88 tff(17846,plain,
% 218.29/140.88 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17708, 17845])).
% 218.29/140.88 tff(17847,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 2) <=> v84(constB51, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 2) <=> v84(constB51, 2)))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17848,plain,
% 218.29/140.88 (($false | $false | (v84(constB52, 2) <=> v84(constB51, 2))) <=> (v84(constB52, 2) <=> v84(constB51, 2))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17849,plain,
% 218.29/140.88 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB52, 2) <=> v84(constB51, 2))) <=> ($false | $false | (v84(constB52, 2) <=> v84(constB51, 2)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.88 tff(17850,plain,
% 218.29/140.88 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB52, 2) <=> v84(constB51, 2))) <=> (v84(constB52, 2) <=> v84(constB51, 2))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17849, 17848])).
% 218.29/140.88 tff(17851,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB52, 2) <=> v84(constB51, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 2) <=> v84(constB51, 2)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17850])).
% 218.29/140.88 tff(17852,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB52, 2) <=> v84(constB51, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 2) <=> v84(constB51, 2)))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17851, 17847])).
% 218.29/140.88 tff(17853,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB52, 2) <=> v84(constB51, 2)))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17854,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 2) <=> v84(constB51, 2))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17853, 17852])).
% 218.29/140.88 tff(17855,plain,
% 218.29/140.88 ($false),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17854, 17846, 17745])).
% 218.29/140.88 tff(17856,plain,(v84(constB52, 2) | (~v84(constB51, 2)) | v119(constB51) | v109(constB51)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.88 tff(17857,plain,
% 218.29/140.88 (v84(constB52, 2)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17856, 17592, 17498, 17534])).
% 218.29/140.88 tff(17858,assumption,(~(v84(constB53, 2) <=> v84(constB52, 2))), introduced(assumption)).
% 218.29/140.88 tff(17859,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 2) <=> v84(constB52, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 2) <=> v84(constB52, 2)))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17860,plain,
% 218.29/140.88 (($false | $false | (v84(constB53, 2) <=> v84(constB52, 2))) <=> (v84(constB53, 2) <=> v84(constB52, 2))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17861,plain,
% 218.29/140.88 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB53, 2) <=> v84(constB52, 2))) <=> ($false | $false | (v84(constB53, 2) <=> v84(constB52, 2)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.88 tff(17862,plain,
% 218.29/140.88 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB53, 2) <=> v84(constB52, 2))) <=> (v84(constB53, 2) <=> v84(constB52, 2))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17861, 17860])).
% 218.29/140.88 tff(17863,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB53, 2) <=> v84(constB52, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 2) <=> v84(constB52, 2)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17862])).
% 218.29/140.88 tff(17864,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB53, 2) <=> v84(constB52, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 2) <=> v84(constB52, 2)))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17863, 17859])).
% 218.29/140.88 tff(17865,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB53, 2) <=> v84(constB52, 2)))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17866,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 2) <=> v84(constB52, 2))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17865, 17864])).
% 218.29/140.88 tff(17867,plain,
% 218.29/140.88 ($false),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17866, 16647, 17858])).
% 218.29/140.88 tff(17868,plain,(v84(constB53, 2) <=> v84(constB52, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.88 tff(17869,plain,
% 218.29/140.88 ((~(v84(constB53, 2) <=> v84(constB52, 2))) | v84(constB53, 2) | (~v84(constB52, 2))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17870,plain,
% 218.29/140.88 (v84(constB53, 2) | (~v84(constB52, 2))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17869, 17868])).
% 218.29/140.88 tff(17871,plain,
% 218.29/140.88 (v84(constB53, 2)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17870, 17857])).
% 218.29/140.88 tff(17872,plain,
% 218.29/140.88 ((v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0))) | (~v84(constB53, 2))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17873,plain,
% 218.29/140.88 (v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17872, 17871])).
% 218.29/140.88 tff(17874,plain,
% 218.29/140.88 ((~(v114(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0)))))) | (~v114(constB53)) | (~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0))))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17875,plain,
% 218.29/140.88 ((~(v114(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0)))))) | (~v114(constB53))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17874, 17873])).
% 218.29/140.88 tff(17876,plain,
% 218.29/140.88 (~v114(constB53)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17875, 17741])).
% 218.29/140.88 tff(17877,plain,
% 218.29/140.88 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2))))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17878,plain,
% 218.29/140.88 (v113(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2)))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17877, 597])).
% 218.29/140.88 tff(17879,plain,
% 218.29/140.88 ((v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2)) | (~v84(constB53, 0))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17880,plain,
% 218.29/140.88 (v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17879, 17724])).
% 218.29/140.88 tff(17881,plain,
% 218.29/140.88 ((~(v113(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2))))) | (~v113(constB53)) | (~(v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2)))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17882,plain,
% 218.29/140.88 ((~(v113(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2))))) | (~v113(constB53))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17881, 17880])).
% 218.29/140.88 tff(17883,plain,
% 218.29/140.88 (~v113(constB53)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17882, 17878])).
% 218.29/140.88 tff(17884,plain,
% 218.29/140.88 ((~(v113(constB53) | v114(constB53))) | v113(constB53) | v114(constB53)),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17885,plain,
% 218.29/140.88 (~(v113(constB53) | v114(constB53))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17884, 17883, 17876])).
% 218.29/140.88 tff(17886,plain,
% 218.29/140.88 ((~(v112(constB53) <=> (v113(constB53) | v114(constB53)))) | (~v112(constB53)) | (v113(constB53) | v114(constB53))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17887,plain,
% 218.29/140.88 ((~(v112(constB53) <=> (v113(constB53) | v114(constB53)))) | (~v112(constB53))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17886, 17885])).
% 218.29/140.88 tff(17888,plain,
% 218.29/140.88 (~v112(constB53)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17887, 17739])).
% 218.29/140.88 tff(17889,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB53) <=> (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB53) <=> (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1))))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17890,plain,
% 218.29/140.88 ((v115(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 2) | (~v84(constB53, 1))))) <=> (v115(constB53) <=> (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1)))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17891,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 2) | (~v84(constB53, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB53) <=> (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1))))))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17890])).
% 218.29/140.88 tff(17892,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 2) | (~v84(constB53, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB53) <=> (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1))))))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17891, 17889])).
% 218.29/140.88 tff(17893,plain,
% 218.29/140.88 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 2) | (~v84(constB53, 1)))))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17894,plain,
% 218.29/140.88 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB53) <=> (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1)))))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17893, 17892])).
% 218.29/140.88 tff(17895,plain,
% 218.29/140.88 (v115(constB53) <=> (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1))))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17894, 622])).
% 218.29/140.88 tff(17896,plain,
% 218.29/140.88 ((v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1))) | (~v84(constB53, 2))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17897,plain,
% 218.29/140.88 (v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17896, 17871])).
% 218.29/140.88 tff(17898,plain,
% 218.29/140.88 ((~(v115(constB53) <=> (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1)))))) | (~v115(constB53)) | (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1))))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17899,plain,
% 218.29/140.88 ((~(v115(constB53) <=> (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1)))))) | (~v115(constB53))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17898, 17897])).
% 218.29/140.88 tff(17900,plain,
% 218.29/140.88 (~v115(constB53)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17899, 17895])).
% 218.29/140.88 tff(17901,plain,
% 218.29/140.88 ((~(v112(constB53) | v115(constB53))) | v112(constB53) | v115(constB53)),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17902,plain,
% 218.29/140.88 ((~(v112(constB53) | v115(constB53))) | v112(constB53)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17901, 17900])).
% 218.29/140.88 tff(17903,plain,
% 218.29/140.88 (~(v112(constB53) | v115(constB53))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17902, 17888])).
% 218.29/140.88 tff(17904,plain,
% 218.29/140.88 ((~(v111(constB53) <=> (v112(constB53) | v115(constB53)))) | (~v111(constB53)) | (v112(constB53) | v115(constB53))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17905,plain,
% 218.29/140.88 (~v111(constB53)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17904, 17903, 17737])).
% 218.29/140.88 tff(17906,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1))))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17907,plain,
% 218.29/140.88 ((v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 1)) | (~v84(constB53, 0))))) <=> (v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1)))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17908,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 1)) | (~v84(constB53, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1))))))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17907])).
% 218.29/140.88 tff(17909,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 1)) | (~v84(constB53, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1))))))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17908, 17906])).
% 218.29/140.88 tff(17910,plain,
% 218.29/140.88 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 1)) | (~v84(constB53, 0)))))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17911,plain,
% 218.29/140.88 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1)))))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17910, 17909])).
% 218.29/140.88 tff(17912,plain,
% 218.29/140.88 (v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1))))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17911, 521])).
% 218.29/140.88 tff(17913,plain,
% 218.29/140.88 ((v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1))) | (~v84(constB53, 2))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17914,plain,
% 218.29/140.88 (v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17913, 17871])).
% 218.29/140.88 tff(17915,plain,
% 218.29/140.88 ((~(v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1)))))) | (~v116(constB53)) | (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1))))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17916,plain,
% 218.29/140.88 ((~(v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1)))))) | (~v116(constB53))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17915, 17914])).
% 218.29/140.88 tff(17917,plain,
% 218.29/140.88 (~v116(constB53)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17916, 17912])).
% 218.29/140.88 tff(17918,plain,
% 218.29/140.88 ((~(v111(constB53) | v116(constB53))) | v111(constB53) | v116(constB53)),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17919,plain,
% 218.29/140.88 ((~(v111(constB53) | v116(constB53))) | v111(constB53)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17918, 17917])).
% 218.29/140.88 tff(17920,plain,
% 218.29/140.88 (~(v111(constB53) | v116(constB53))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17919, 17905])).
% 218.29/140.88 tff(17921,plain,
% 218.29/140.88 ((~(v110(constB53) <=> (v111(constB53) | v116(constB53)))) | (~v110(constB53)) | (v111(constB53) | v116(constB53))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17922,plain,
% 218.29/140.88 (~v110(constB53)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17921, 17920, 17735])).
% 218.29/140.88 tff(17923,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17924,plain,
% 218.29/140.88 ((v117(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | (~v84(constB53, 2))))) <=> (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17925,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | (~v84(constB53, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))))))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17924])).
% 218.29/140.88 tff(17926,plain,
% 218.29/140.88 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | (~v84(constB53, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))))))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17925, 17923])).
% 218.29/140.88 tff(17927,plain,
% 218.29/140.88 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | (~v84(constB53, 2)))))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17928,plain,
% 218.29/140.88 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17927, 17926])).
% 218.29/140.88 tff(17929,plain,
% 218.29/140.88 (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17928, 656])).
% 218.29/140.88 tff(17930,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 1) <=> v84(constB52, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 1) <=> v84(constB52, 1)))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17931,plain,
% 218.29/140.88 (($false | $false | (v84(constB53, 1) <=> v84(constB52, 1))) <=> (v84(constB53, 1) <=> v84(constB52, 1))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17932,plain,
% 218.29/140.88 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB53, 1) <=> v84(constB52, 1))) <=> ($false | $false | (v84(constB53, 1) <=> v84(constB52, 1)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.88 tff(17933,plain,
% 218.29/140.88 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB53, 1) <=> v84(constB52, 1))) <=> (v84(constB53, 1) <=> v84(constB52, 1))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17932, 17931])).
% 218.29/140.88 tff(17934,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB53, 1) <=> v84(constB52, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 1) <=> v84(constB52, 1)))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17933])).
% 218.29/140.88 tff(17935,plain,
% 218.29/140.88 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB53, 1) <=> v84(constB52, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 1) <=> v84(constB52, 1)))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17934, 17930])).
% 218.29/140.88 tff(17936,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB53, 1) <=> v84(constB52, 1)))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17937,plain,
% 218.29/140.88 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB53, B) <=> v84(constB52, B)))) | (v84(constB53, 1) <=> v84(constB52, 1))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17936, 17935])).
% 218.29/140.88 tff(17938,plain,
% 218.29/140.88 (v84(constB53, 1) <=> v84(constB52, 1)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17937, 16647])).
% 218.29/140.88 tff(17939,assumption,(~v84(constB52, 1)), introduced(assumption)).
% 218.29/140.88 tff(17940,assumption,(~v94(constB52)), introduced(assumption)).
% 218.29/140.88 tff(17941,plain,
% 218.29/140.88 ((~(v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52)))))) | v94(constB52) | ((~v95(constB52)) | (~v104(constB52)))),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17942,plain,
% 218.29/140.88 (v94(constB52) | ((~v95(constB52)) | (~v104(constB52)))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17941, 17698])).
% 218.29/140.88 tff(17943,plain,
% 218.29/140.88 ((~v95(constB52)) | (~v104(constB52))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17942, 17940])).
% 218.29/140.88 tff(17944,plain,
% 218.29/140.88 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17945,plain,
% 218.29/140.88 (((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52)))))) <=> ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17946,plain,
% 218.29/140.88 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52)))))))),
% 218.29/140.88 inference(monotonicity,[status(thm)],[17945])).
% 218.29/140.88 tff(17947,plain,
% 218.29/140.88 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))),
% 218.29/140.88 inference(transitivity,[status(thm)],[17946, 17944])).
% 218.29/140.88 tff(17948,plain,
% 218.29/140.88 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52))))))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17949,plain,
% 218.29/140.88 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52)))))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17948, 17947])).
% 218.29/140.88 tff(17950,plain,
% 218.29/140.88 (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17949, 17685, 37])).
% 218.29/140.88 tff(17951,plain,
% 218.29/140.88 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52)))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17952,plain,
% 218.29/140.88 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52)))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17953,plain,
% 218.29/140.88 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17952, 17951])).
% 218.29/140.88 tff(17954,plain,
% 218.29/140.88 ((~v96(constB52)) <=> v98(constB52)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17953, 17685, 54])).
% 218.29/140.88 tff(17955,plain,
% 218.29/140.88 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51)))),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17956,plain,
% 218.29/140.88 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51)))),
% 218.29/140.88 inference(quant_inst,[status(thm)],[])).
% 218.29/140.88 tff(17957,plain,
% 218.29/140.88 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51))),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17956, 17955])).
% 218.29/140.88 tff(17958,plain,
% 218.29/140.88 (v98(constB52) <=> v1(constB51)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17957, 17685, 68])).
% 218.29/140.88 tff(17959,plain,
% 218.29/140.88 ((~(v98(constB52) <=> v1(constB51))) | (~v98(constB52)) | v1(constB51)),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17960,plain,
% 218.29/140.88 ((~(v98(constB52) <=> v1(constB51))) | (~v98(constB52))),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17959, 17463])).
% 218.29/140.88 tff(17961,plain,
% 218.29/140.88 (~v98(constB52)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17960, 17958])).
% 218.29/140.88 tff(17962,plain,
% 218.29/140.88 ((~((~v96(constB52)) <=> v98(constB52))) | v96(constB52) | v98(constB52)),
% 218.29/140.88 inference(tautology,[status(thm)],[])).
% 218.29/140.88 tff(17963,plain,
% 218.29/140.88 (v96(constB52)),
% 218.29/140.88 inference(unit_resolution,[status(thm)],[17962, 17961, 17954])).
% 218.29/140.88 tff(17964,plain,
% 218.29/140.88 (v1(constB52) <=> v1(constB52)),
% 218.29/140.88 inference(rewrite,[status(thm)],[])).
% 218.29/140.88 tff(17965,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52')).
% 218.29/140.88 tff(17966,plain,
% 218.29/140.88 (v1(constB52)),
% 218.29/140.88 inference(modus_ponens,[status(thm)],[17965, 17964])).
% 218.29/140.88 tff(17967,plain,
% 218.29/140.89 ((~((~v1(constB52)) | (~v96(constB52)))) | (~v1(constB52)) | (~v96(constB52))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(17968,plain,
% 218.29/140.89 ((~((~v1(constB52)) | (~v96(constB52)))) | (~v96(constB52))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17967, 17966])).
% 218.29/140.89 tff(17969,plain,
% 218.29/140.89 (~((~v1(constB52)) | (~v96(constB52)))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17968, 17963])).
% 218.29/140.89 tff(17970,plain,
% 218.29/140.89 ((~(v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52)))))) | v95(constB52) | ((~v1(constB52)) | (~v96(constB52)))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(17971,plain,
% 218.29/140.89 (v95(constB52)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17970, 17969, 17950])).
% 218.29/140.89 tff(17972,plain,
% 218.29/140.89 ((~((~v95(constB52)) | (~v104(constB52)))) | (~v95(constB52)) | (~v104(constB52))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(17973,plain,
% 218.29/140.89 ((~((~v95(constB52)) | (~v104(constB52)))) | (~v104(constB52))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17972, 17971])).
% 218.29/140.89 tff(17974,plain,
% 218.29/140.89 (~v104(constB52)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17973, 17943])).
% 218.29/140.89 tff(17975,plain,
% 218.29/140.89 ((~(v104(constB52) <=> v102(constB51))) | v104(constB52) | (~v102(constB51))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(17976,plain,
% 218.29/140.89 (v104(constB52) | (~v102(constB51))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17975, 17689])).
% 218.29/140.89 tff(17977,plain,
% 218.29/140.89 (~v102(constB51)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17976, 17974])).
% 218.29/140.89 tff(17978,plain,
% 218.29/140.89 ((~(v102(constB51) <=> (v105(constB51) | v106(constB51)))) | v102(constB51) | (~(v105(constB51) | v106(constB51)))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(17979,plain,
% 218.29/140.89 (v102(constB51) | (~(v105(constB51) | v106(constB51)))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17978, 17679])).
% 218.29/140.89 tff(17980,plain,
% 218.29/140.89 (~(v105(constB51) | v106(constB51))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17979, 17977])).
% 218.29/140.89 tff(17981,plain,
% 218.29/140.89 ((v105(constB51) | v106(constB51)) | (~v106(constB51))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(17982,plain,
% 218.29/140.89 (~v106(constB51)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17981, 17980])).
% 218.29/140.89 tff(17983,plain,
% 218.29/140.89 ((~(v106(constB51) <=> (~((~v107(constB51)) | (~v120(constB51)))))) | v106(constB51) | ((~v107(constB51)) | (~v120(constB51)))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(17984,plain,
% 218.29/140.89 (v106(constB51) | ((~v107(constB51)) | (~v120(constB51)))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17983, 17664])).
% 218.29/140.89 tff(17985,plain,
% 218.29/140.89 ((~v107(constB51)) | (~v120(constB51))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17984, 17982])).
% 218.29/140.89 tff(17986,plain,
% 218.29/140.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB51)) <=> v105(constB51))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(17987,plain,
% 218.29/140.89 ((~v120(constB51)) <=> v105(constB51)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17986, 144])).
% 218.29/140.89 tff(17988,plain,
% 218.29/140.89 ((~((~v120(constB51)) <=> v105(constB51))) | v120(constB51) | v105(constB51)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(17989,plain,
% 218.29/140.89 ((~((~v120(constB51)) <=> v105(constB51))) | v120(constB51)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17988, 17674])).
% 218.29/140.89 tff(17990,plain,
% 218.29/140.89 (v120(constB51)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17989, 17987])).
% 218.29/140.89 tff(17991,plain,
% 218.29/140.89 ((~((~v107(constB51)) | (~v120(constB51)))) | (~v107(constB51)) | (~v120(constB51))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(17992,plain,
% 218.29/140.89 ((~((~v107(constB51)) | (~v120(constB51)))) | (~v107(constB51))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17991, 17990])).
% 218.29/140.89 tff(17993,plain,
% 218.29/140.89 (~v107(constB51)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17992, 17985])).
% 218.29/140.89 tff(17994,plain,
% 218.29/140.89 ((~(v107(constB51) <=> (v108(constB51) | v119(constB51)))) | v107(constB51) | (~(v108(constB51) | v119(constB51)))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(17995,plain,
% 218.29/140.89 (v107(constB51) | (~(v108(constB51) | v119(constB51)))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17994, 17657])).
% 218.29/140.89 tff(17996,plain,
% 218.29/140.89 (~(v108(constB51) | v119(constB51))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17995, 17993])).
% 218.29/140.89 tff(17997,plain,
% 218.29/140.89 ((v108(constB51) | v119(constB51)) | (~v108(constB51))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(17998,plain,
% 218.29/140.89 (~v108(constB51)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17997, 17996])).
% 218.29/140.89 tff(17999,plain,
% 218.29/140.89 ((~(v108(constB51) <=> (v109(constB51) | v118(constB51)))) | v108(constB51) | (~(v109(constB51) | v118(constB51)))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18000,plain,
% 218.29/140.89 (v108(constB51) | (~(v109(constB51) | v118(constB51)))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17999, 17648])).
% 218.29/140.89 tff(18001,plain,
% 218.29/140.89 (~(v109(constB51) | v118(constB51))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18000, 17998])).
% 218.29/140.89 tff(18002,plain,
% 218.29/140.89 ((v109(constB51) | v118(constB51)) | (~v118(constB51))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18003,plain,
% 218.29/140.89 (~v118(constB51)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18002, 18001])).
% 218.29/140.89 tff(18004,plain,
% 218.29/140.89 ((~(v118(constB51) <=> (~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0)))))) | v118(constB51) | ((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0)))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18005,plain,
% 218.29/140.89 ((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18004, 18003, 17599])).
% 218.29/140.89 tff(18006,assumption,(v84(constB51, 0)), introduced(assumption)).
% 218.29/140.89 tff(18007,plain,
% 218.29/140.89 ((~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0)))) | (~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18008,plain,
% 218.29/140.89 ((~((~v84(constB51, 2)) | v84(constB51, 1) | (~v84(constB51, 0)))) | v84(constB51, 1)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18007, 17743, 18006])).
% 218.29/140.89 tff(18009,plain,
% 218.29/140.89 (v84(constB51, 1)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18008, 18005])).
% 218.29/140.89 tff(18010,plain,
% 218.29/140.89 ((~(v84(constB52, 1) <=> v84(constB51, 1))) | v84(constB52, 1) | (~v84(constB51, 1))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18011,plain,
% 218.29/140.89 (~(v84(constB52, 1) <=> v84(constB51, 1))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18010, 18009, 17939])).
% 218.29/140.89 tff(18012,plain,
% 218.29/140.89 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[17708, 17940])).
% 218.29/140.89 tff(18013,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 1) <=> v84(constB51, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 1) <=> v84(constB51, 1)))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18014,plain,
% 218.29/140.89 (($false | $false | (v84(constB52, 1) <=> v84(constB51, 1))) <=> (v84(constB52, 1) <=> v84(constB51, 1))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18015,plain,
% 218.29/140.89 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB52, 1) <=> v84(constB51, 1))) <=> ($false | $false | (v84(constB52, 1) <=> v84(constB51, 1)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.89 tff(18016,plain,
% 218.29/140.89 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB52, 1) <=> v84(constB51, 1))) <=> (v84(constB52, 1) <=> v84(constB51, 1))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18015, 18014])).
% 218.29/140.89 tff(18017,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB52, 1) <=> v84(constB51, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 1) <=> v84(constB51, 1)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[18016])).
% 218.29/140.89 tff(18018,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB52, 1) <=> v84(constB51, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 1) <=> v84(constB51, 1)))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18017, 18013])).
% 218.29/140.89 tff(18019,plain,
% 218.29/140.89 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB52, 1) <=> v84(constB51, 1)))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18020,plain,
% 218.29/140.89 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB52, B) <=> v84(constB51, B)))) | (v84(constB52, 1) <=> v84(constB51, 1))),
% 218.29/140.89 inference(modus_ponens,[status(thm)],[18019, 18018])).
% 218.29/140.89 tff(18021,plain,
% 218.29/140.89 ($false),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18020, 18012, 18011])).
% 218.29/140.89 tff(18022,plain,(v94(constB52) | v84(constB52, 1) | (~v84(constB51, 2)) | (~v84(constB51, 0))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.89 tff(18023,plain,
% 218.29/140.89 (v84(constB52, 1)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18022, 17701, 17534, 17493])).
% 218.29/140.89 tff(18024,plain,
% 218.29/140.89 ((~(v84(constB53, 1) <=> v84(constB52, 1))) | v84(constB53, 1) | (~v84(constB52, 1))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18025,plain,
% 218.29/140.89 ((~(v84(constB53, 1) <=> v84(constB52, 1))) | v84(constB53, 1)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18024, 18023])).
% 218.29/140.89 tff(18026,plain,
% 218.29/140.89 (v84(constB53, 1)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18025, 17938])).
% 218.29/140.89 tff(18027,plain,
% 218.29/140.89 ((v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))) | (~v84(constB53, 1))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18028,plain,
% 218.29/140.89 (v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18027, 18026])).
% 218.29/140.89 tff(18029,plain,
% 218.29/140.89 ((~(v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))))) | (~v117(constB53)) | (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18030,plain,
% 218.29/140.89 ((~(v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))))) | (~v117(constB53))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18029, 18028])).
% 218.29/140.89 tff(18031,plain,
% 218.29/140.89 (~v117(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18030, 17929])).
% 218.29/140.89 tff(18032,plain,
% 218.29/140.89 ((~(v110(constB53) | v117(constB53))) | v110(constB53) | v117(constB53)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18033,plain,
% 218.29/140.89 ((~(v110(constB53) | v117(constB53))) | v110(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18032, 18031])).
% 218.29/140.89 tff(18034,plain,
% 218.29/140.89 (~(v110(constB53) | v117(constB53))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18033, 17922])).
% 218.29/140.89 tff(18035,plain,
% 218.29/140.89 ((~(v109(constB53) <=> (v110(constB53) | v117(constB53)))) | (~v109(constB53)) | (v110(constB53) | v117(constB53))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18036,plain,
% 218.29/140.89 (~v109(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18035, 18034, 17733])).
% 218.29/140.89 tff(18037,plain,
% 218.29/140.89 ((v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2))) | (~v84(constB53, 1))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18038,plain,
% 218.29/140.89 (v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18037, 18026])).
% 218.29/140.89 tff(18039,assumption,(~(v118(constB53) <=> (~(v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2)))))), introduced(assumption)).
% 218.29/140.89 tff(18040,plain,
% 218.29/140.89 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB53) <=> (~(v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2)))))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18041,plain,
% 218.29/140.89 ($false),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18040, 394, 18039])).
% 218.29/140.89 tff(18042,plain,(v118(constB53) <=> (~(v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.89 tff(18043,plain,
% 218.29/140.89 ((~(v118(constB53) <=> (~(v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2)))))) | (~v118(constB53)) | (~(v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2))))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18044,plain,
% 218.29/140.89 ((~v118(constB53)) | (~(v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2))))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18043, 18042])).
% 218.29/140.89 tff(18045,plain,
% 218.29/140.89 (~v118(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18044, 18038])).
% 218.29/140.89 tff(18046,plain,
% 218.29/140.89 ((~(v109(constB53) | v118(constB53))) | v109(constB53) | v118(constB53)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18047,plain,
% 218.29/140.89 ((~(v109(constB53) | v118(constB53))) | v109(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18046, 18045])).
% 218.29/140.89 tff(18048,plain,
% 218.29/140.89 (~(v109(constB53) | v118(constB53))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18047, 18036])).
% 218.29/140.89 tff(18049,plain,
% 218.29/140.89 ((~(v108(constB53) <=> (v109(constB53) | v118(constB53)))) | (~v108(constB53)) | (v109(constB53) | v118(constB53))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18050,plain,
% 218.29/140.89 (~v108(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18049, 18048, 17731])).
% 218.29/140.89 tff(18051,plain,
% 218.29/140.89 ((~(v108(constB53) | v119(constB53))) | v108(constB53) | v119(constB53)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18052,plain,
% 218.29/140.89 (~(v108(constB53) | v119(constB53))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18051, 18050, 17729])).
% 218.29/140.89 tff(18053,plain,
% 218.29/140.89 ((~(v107(constB53) <=> (v108(constB53) | v119(constB53)))) | (~v107(constB53)) | (v108(constB53) | v119(constB53))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18054,plain,
% 218.29/140.89 (~v107(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18053, 18052, 16611])).
% 218.29/140.89 tff(18055,plain,
% 218.29/140.89 (((~v107(constB53)) | (~v120(constB53))) | v107(constB53)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18056,plain,
% 218.29/140.89 ((~v107(constB53)) | (~v120(constB53))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18055, 18054])).
% 218.29/140.89 tff(18057,plain,
% 218.29/140.89 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB53) <=> (~((~v107(constB53)) | (~v120(constB53)))))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18058,plain,
% 218.29/140.89 (v106(constB53) <=> (~((~v107(constB53)) | (~v120(constB53))))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18057, 132])).
% 218.29/140.89 tff(18059,plain,
% 218.29/140.89 ((~(v106(constB53) <=> (~((~v107(constB53)) | (~v120(constB53)))))) | (~v106(constB53)) | (~((~v107(constB53)) | (~v120(constB53))))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18060,plain,
% 218.29/140.89 ((~v106(constB53)) | (~((~v107(constB53)) | (~v120(constB53))))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18059, 18058])).
% 218.29/140.89 tff(18061,plain,
% 218.29/140.89 (~v106(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18060, 18056])).
% 218.29/140.89 tff(18062,plain,
% 218.29/140.89 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB53) <=> v26(constB53))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18063,plain,
% 218.29/140.89 (v105(constB53) <=> v26(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18062, 156])).
% 218.29/140.89 tff(18064,plain,
% 218.29/140.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18065,plain,
% 218.29/140.89 (~v26(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18064, 168])).
% 218.29/140.89 tff(18066,plain,
% 218.29/140.89 ((~(v105(constB53) <=> v26(constB53))) | (~v105(constB53)) | v26(constB53)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18067,plain,
% 218.29/140.89 ((~(v105(constB53) <=> v26(constB53))) | (~v105(constB53))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18066, 18065])).
% 218.29/140.89 tff(18068,plain,
% 218.29/140.89 (~v105(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18067, 18063])).
% 218.29/140.89 tff(18069,plain,
% 218.29/140.89 ((~(v105(constB53) | v106(constB53))) | v105(constB53) | v106(constB53)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18070,plain,
% 218.29/140.89 ((~(v105(constB53) | v106(constB53))) | v106(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18069, 18068])).
% 218.29/140.89 tff(18071,plain,
% 218.29/140.89 (~(v105(constB53) | v106(constB53))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18070, 18061])).
% 218.29/140.89 tff(18072,plain,
% 218.29/140.89 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB53) <=> (v105(constB53) | v106(constB53)))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18073,plain,
% 218.29/140.89 (v102(constB53) <=> (v105(constB53) | v106(constB53))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18072, 115])).
% 218.29/140.89 tff(18074,plain,
% 218.29/140.89 ((~(v102(constB53) <=> (v105(constB53) | v106(constB53)))) | (~v102(constB53)) | (v105(constB53) | v106(constB53))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18075,plain,
% 218.29/140.89 ((~v102(constB53)) | (v105(constB53) | v106(constB53))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18074, 18073])).
% 218.29/140.89 tff(18076,plain,
% 218.29/140.89 (~v102(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18075, 18071])).
% 218.29/140.89 tff(18077,plain,
% 218.29/140.89 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18078,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53')).
% 218.29/140.89 tff(18079,plain,
% 218.29/140.89 (nextState(constB53, constB54)),
% 218.29/140.89 inference(modus_ponens,[status(thm)],[18078, 18077])).
% 218.29/140.89 tff(18080,plain,
% 218.29/140.89 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53)))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18081,plain,
% 218.29/140.89 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53)))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18082,plain,
% 218.29/140.89 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53))),
% 218.29/140.89 inference(modus_ponens,[status(thm)],[18081, 18080])).
% 218.29/140.89 tff(18083,plain,
% 218.29/140.89 (v104(constB54) <=> v102(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18082, 18079, 101])).
% 218.29/140.89 tff(18084,plain,
% 218.29/140.89 ((~(v104(constB54) <=> v102(constB53))) | (~v104(constB54)) | v102(constB53)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18085,plain,
% 218.29/140.89 ((~v104(constB54)) | v102(constB53)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18084, 18083])).
% 218.29/140.89 tff(18086,plain,
% 218.29/140.89 (~v104(constB54)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18085, 18076])).
% 218.29/140.89 tff(18087,plain,
% 218.29/140.89 (((~v95(constB54)) | (~v104(constB54))) | v104(constB54)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18088,plain,
% 218.29/140.89 ((~v95(constB54)) | (~v104(constB54))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18087, 18086])).
% 218.29/140.89 tff(18089,plain,
% 218.29/140.89 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54))))))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18090,plain,
% 218.29/140.89 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54))))))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18091,plain,
% 218.29/140.89 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54)))))),
% 218.29/140.89 inference(modus_ponens,[status(thm)],[18090, 18089])).
% 218.29/140.89 tff(18092,plain,
% 218.29/140.89 (v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54))))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18091, 18079, 14])).
% 218.29/140.89 tff(18093,plain,
% 218.29/140.89 ((~(v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54)))))) | (~v94(constB54)) | (~((~v95(constB54)) | (~v104(constB54))))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18094,plain,
% 218.29/140.89 ((~v94(constB54)) | (~((~v95(constB54)) | (~v104(constB54))))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18093, 18092])).
% 218.29/140.89 tff(18095,plain,
% 218.29/140.89 (~v94(constB54)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18094, 18088])).
% 218.29/140.89 tff(18096,plain,
% 218.29/140.89 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB54) | (~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB54) | (~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B))))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18097,plain,
% 218.29/140.89 ((v94(constB54) | (~nextState(constB53, constB54)) | ![B: $int] : ((v84(constB54, B) <=> v84(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB54) | (~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B))))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18098,plain,
% 218.29/140.89 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB54) | (~nextState(constB53, constB54)) | ![B: $int] : ((v84(constB54, B) <=> v84(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB54) | (~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[18097])).
% 218.29/140.89 tff(18099,plain,
% 218.29/140.89 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB54) | (~nextState(constB53, constB54)) | ![B: $int] : ((v84(constB54, B) <=> v84(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB54) | (~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B))))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18098, 18096])).
% 218.29/140.89 tff(18100,plain,
% 218.29/140.89 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB54) | (~nextState(constB53, constB54)) | ![B: $int] : ((v84(constB54, B) <=> v84(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18101,plain,
% 218.29/140.89 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB54) | (~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))),
% 218.29/140.89 inference(modus_ponens,[status(thm)],[18100, 18099])).
% 218.29/140.89 tff(18102,plain,
% 218.29/140.89 (v94(constB54) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18101, 18079, 235])).
% 218.29/140.89 tff(18103,plain,
% 218.29/140.89 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18102, 18095])).
% 218.29/140.89 tff(18104,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 1) <=> v84(constB53, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 1) <=> v84(constB53, 1)))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18105,plain,
% 218.29/140.89 (($false | $false | (v84(constB54, 1) <=> v84(constB53, 1))) <=> (v84(constB54, 1) <=> v84(constB53, 1))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18106,plain,
% 218.29/140.89 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB54, 1) <=> v84(constB53, 1))) <=> ($false | $false | (v84(constB54, 1) <=> v84(constB53, 1)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[402, 401])).
% 218.29/140.89 tff(18107,plain,
% 218.29/140.89 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB54, 1) <=> v84(constB53, 1))) <=> (v84(constB54, 1) <=> v84(constB53, 1))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18106, 18105])).
% 218.29/140.89 tff(18108,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB54, 1) <=> v84(constB53, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 1) <=> v84(constB53, 1)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[18107])).
% 218.29/140.89 tff(18109,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB54, 1) <=> v84(constB53, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 1) <=> v84(constB53, 1)))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18108, 18104])).
% 218.29/140.89 tff(18110,plain,
% 218.29/140.89 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB54, 1) <=> v84(constB53, 1)))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18111,plain,
% 218.29/140.89 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 1) <=> v84(constB53, 1))),
% 218.29/140.89 inference(modus_ponens,[status(thm)],[18110, 18109])).
% 218.29/140.89 tff(18112,plain,
% 218.29/140.89 (v84(constB54, 1) <=> v84(constB53, 1)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18111, 18103])).
% 218.29/140.89 tff(18113,plain,
% 218.29/140.89 ((~(v84(constB54, 1) <=> v84(constB53, 1))) | v84(constB54, 1) | (~v84(constB53, 1))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18114,plain,
% 218.29/140.89 ((~(v84(constB54, 1) <=> v84(constB53, 1))) | v84(constB54, 1)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18113, 18026])).
% 218.29/140.89 tff(18115,plain,
% 218.29/140.89 (v84(constB54, 1)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18114, 18112])).
% 218.29/140.89 tff(18116,plain,
% 218.29/140.89 ((~(v84(constB55, 1) <=> v84(constB54, 1))) | v84(constB55, 1) | (~v84(constB54, 1))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18117,plain,
% 218.29/140.89 ((~(v84(constB55, 1) <=> v84(constB54, 1))) | v84(constB55, 1)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18116, 18115])).
% 218.29/140.89 tff(18118,plain,
% 218.29/140.89 (v84(constB55, 1)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18117, 16609])).
% 218.29/140.89 tff(18119,plain,
% 218.29/140.89 ((v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2))) | (~v84(constB55, 1))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18120,plain,
% 218.29/140.89 (v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18119, 18118])).
% 218.29/140.89 tff(18121,plain,
% 218.29/140.89 ((~(v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))))) | (~v118(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15730, 18120])).
% 218.29/140.89 tff(18122,plain,
% 218.29/140.89 (~v118(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18121, 15726])).
% 218.29/140.89 tff(18123,plain,
% 218.29/140.89 ((v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))) | (~v84(constB55, 1))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18124,plain,
% 218.29/140.89 (v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18123, 18118])).
% 218.29/140.89 tff(18125,assumption,(~(v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))), introduced(assumption)).
% 218.29/140.89 tff(18126,plain,
% 218.29/140.89 ($false),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15738, 656, 18125])).
% 218.29/140.89 tff(18127,plain,(v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.89 tff(18128,plain,
% 218.29/140.89 ((~v117(constB55)) | (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15742, 18127])).
% 218.29/140.89 tff(18129,plain,
% 218.29/140.89 (~v117(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18128, 18124])).
% 218.29/140.89 tff(18130,assumption,(~(v84(constB54, 2) <=> v84(constB53, 2))), introduced(assumption)).
% 218.29/140.89 tff(18131,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))), introduced(assumption)).
% 218.29/140.89 tff(18132,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 2) <=> v84(constB53, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 2) <=> v84(constB53, 2)))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18133,plain,
% 218.29/140.89 (($false | $false | (v84(constB54, 2) <=> v84(constB53, 2))) <=> (v84(constB54, 2) <=> v84(constB53, 2))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18134,plain,
% 218.29/140.89 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB54, 2) <=> v84(constB53, 2))) <=> ($false | $false | (v84(constB54, 2) <=> v84(constB53, 2)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.89 tff(18135,plain,
% 218.29/140.89 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB54, 2) <=> v84(constB53, 2))) <=> (v84(constB54, 2) <=> v84(constB53, 2))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18134, 18133])).
% 218.29/140.89 tff(18136,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB54, 2) <=> v84(constB53, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 2) <=> v84(constB53, 2)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[18135])).
% 218.29/140.89 tff(18137,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB54, 2) <=> v84(constB53, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 2) <=> v84(constB53, 2)))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18136, 18132])).
% 218.29/140.89 tff(18138,plain,
% 218.29/140.89 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB54, 2) <=> v84(constB53, 2)))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18139,plain,
% 218.29/140.89 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 2) <=> v84(constB53, 2))),
% 218.29/140.89 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 218.29/140.89 tff(18140,plain,
% 218.29/140.89 ($false),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18139, 18131, 18130])).
% 218.29/140.89 tff(18141,plain,((v84(constB54, 2) <=> v84(constB53, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.89 tff(18142,plain,
% 218.29/140.89 (v84(constB54, 2) <=> v84(constB53, 2)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18141, 18103])).
% 218.29/140.89 tff(18143,plain,
% 218.29/140.89 ((~(v84(constB54, 2) <=> v84(constB53, 2))) | v84(constB54, 2) | (~v84(constB53, 2))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18144,plain,
% 218.29/140.89 (v84(constB54, 2)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18143, 18142, 17871])).
% 218.29/140.89 tff(18145,assumption,(~(v84(constB55, 2) <=> v84(constB54, 2))), introduced(assumption)).
% 218.29/140.89 tff(18146,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 2) <=> v84(constB54, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 2) <=> v84(constB54, 2)))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18147,plain,
% 218.29/140.89 (($false | $false | (v84(constB55, 2) <=> v84(constB54, 2))) <=> (v84(constB55, 2) <=> v84(constB54, 2))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18148,plain,
% 218.29/140.89 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB55, 2) <=> v84(constB54, 2))) <=> ($false | $false | (v84(constB55, 2) <=> v84(constB54, 2)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[534, 533])).
% 218.29/140.89 tff(18149,plain,
% 218.29/140.89 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB55, 2) <=> v84(constB54, 2))) <=> (v84(constB55, 2) <=> v84(constB54, 2))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18148, 18147])).
% 218.29/140.89 tff(18150,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB55, 2) <=> v84(constB54, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 2) <=> v84(constB54, 2)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[18149])).
% 218.29/140.89 tff(18151,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB55, 2) <=> v84(constB54, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 2) <=> v84(constB54, 2)))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18150, 18146])).
% 218.29/140.89 tff(18152,plain,
% 218.29/140.89 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB55, 2) <=> v84(constB54, 2)))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18153,plain,
% 218.29/140.89 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 2) <=> v84(constB54, 2))),
% 218.29/140.89 inference(modus_ponens,[status(thm)],[18152, 18151])).
% 218.29/140.89 tff(18154,plain,
% 218.29/140.89 ($false),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18153, 16600, 18145])).
% 218.29/140.89 tff(18155,plain,(v84(constB55, 2) <=> v84(constB54, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.89 tff(18156,plain,
% 218.29/140.89 ((~(v84(constB55, 2) <=> v84(constB54, 2))) | v84(constB55, 2) | (~v84(constB54, 2))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18157,plain,
% 218.29/140.89 (v84(constB55, 2) | (~v84(constB54, 2))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18156, 18155])).
% 218.29/140.89 tff(18158,plain,
% 218.29/140.89 (v84(constB55, 2)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18157, 18144])).
% 218.29/140.89 tff(18159,plain,
% 218.29/140.89 (v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15776, 18158])).
% 218.29/140.89 tff(18160,plain,
% 218.29/140.89 ((~(v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))))) | (~v113(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15778, 18159])).
% 218.29/140.89 tff(18161,plain,
% 218.29/140.89 (~v113(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18160, 15434])).
% 218.29/140.89 tff(18162,plain,
% 218.29/140.89 (v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15783, 18158])).
% 218.29/140.89 tff(18163,plain,
% 218.29/140.89 ((~(v114(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0)))))) | (~v114(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15785, 18162])).
% 218.29/140.89 tff(18164,plain,
% 218.29/140.89 (~v114(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18163, 15782])).
% 218.29/140.89 tff(18165,plain,
% 218.29/140.89 ((~(v113(constB55) | v114(constB55))) | v113(constB55) | v114(constB55)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18166,plain,
% 218.29/140.89 (~(v113(constB55) | v114(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18165, 18164, 18161])).
% 218.29/140.89 tff(18167,plain,
% 218.29/140.89 ((~(v112(constB55) <=> (v113(constB55) | v114(constB55)))) | (~v112(constB55)) | (v113(constB55) | v114(constB55))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18168,plain,
% 218.29/140.89 ((~(v112(constB55) <=> (v113(constB55) | v114(constB55)))) | (~v112(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18167, 18166])).
% 218.29/140.89 tff(18169,plain,
% 218.29/140.89 (~v112(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18168, 15432])).
% 218.29/140.89 tff(18170,plain,
% 218.29/140.89 (v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15771, 18158])).
% 218.29/140.89 tff(18171,plain,
% 218.29/140.89 ((~(v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))) | (~v115(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15773, 18170])).
% 218.29/140.89 tff(18172,plain,
% 218.29/140.89 (~v115(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18171, 15770])).
% 218.29/140.89 tff(18173,plain,
% 218.29/140.89 ((~(v112(constB55) | v115(constB55))) | v112(constB55) | v115(constB55)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18174,plain,
% 218.29/140.89 ((~(v112(constB55) | v115(constB55))) | v112(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18173, 18172])).
% 218.29/140.89 tff(18175,plain,
% 218.29/140.89 (~(v112(constB55) | v115(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18174, 18169])).
% 218.29/140.89 tff(18176,plain,
% 218.29/140.89 ((~(v111(constB55) <=> (v112(constB55) | v115(constB55)))) | (~v111(constB55)) | (v112(constB55) | v115(constB55))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18177,plain,
% 218.29/140.89 (~v111(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18176, 18175, 15430])).
% 218.29/140.89 tff(18178,plain,
% 218.29/140.89 (v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15759, 18158])).
% 218.29/140.89 tff(18179,plain,
% 218.29/140.89 ((~(v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))))) | (~v116(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15761, 18178])).
% 218.29/140.89 tff(18180,plain,
% 218.29/140.89 (~v116(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18179, 15598])).
% 218.29/140.89 tff(18181,plain,
% 218.29/140.89 ((~(v111(constB55) | v116(constB55))) | v111(constB55) | v116(constB55)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18182,plain,
% 218.29/140.89 ((~(v111(constB55) | v116(constB55))) | v111(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18181, 18180])).
% 218.29/140.89 tff(18183,plain,
% 218.29/140.89 (~(v111(constB55) | v116(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18182, 18177])).
% 218.29/140.89 tff(18184,plain,
% 218.29/140.89 ((~(v110(constB55) <=> (v111(constB55) | v116(constB55)))) | (~v110(constB55)) | (v111(constB55) | v116(constB55))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18185,plain,
% 218.29/140.89 (~v110(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18184, 18183, 15876])).
% 218.29/140.89 tff(18186,plain,
% 218.29/140.89 ((~(v110(constB55) | v117(constB55))) | v110(constB55) | v117(constB55)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18187,plain,
% 218.29/140.89 (~(v110(constB55) | v117(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18186, 18185, 18129])).
% 218.29/140.89 tff(18188,assumption,(~(v109(constB55) <=> (v110(constB55) | v117(constB55)))), introduced(assumption)).
% 218.29/140.89 tff(18189,plain,
% 218.29/140.89 ($false),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15877, 456, 18188])).
% 218.29/140.89 tff(18190,plain,(v109(constB55) <=> (v110(constB55) | v117(constB55))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.89 tff(18191,plain,
% 218.29/140.89 ((~(v109(constB55) <=> (v110(constB55) | v117(constB55)))) | (~v109(constB55)) | (v110(constB55) | v117(constB55))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18192,plain,
% 218.29/140.89 ((~v109(constB55)) | (v110(constB55) | v117(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18191, 18190])).
% 218.29/140.89 tff(18193,plain,
% 218.29/140.89 (~v109(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18192, 18187])).
% 218.29/140.89 tff(18194,plain,
% 218.29/140.89 ((~(v109(constB55) | v118(constB55))) | v109(constB55) | v118(constB55)),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18195,plain,
% 218.29/140.89 (~(v109(constB55) | v118(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18194, 18193, 18122])).
% 218.29/140.89 tff(18196,assumption,(~(v108(constB55) <=> (v109(constB55) | v118(constB55)))), introduced(assumption)).
% 218.29/140.89 tff(18197,plain,
% 218.29/140.89 ($false),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[15879, 428, 18196])).
% 218.29/140.89 tff(18198,plain,(v108(constB55) <=> (v109(constB55) | v118(constB55))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.89 tff(18199,plain,
% 218.29/140.89 ((~(v108(constB55) <=> (v109(constB55) | v118(constB55)))) | (~v108(constB55)) | (v109(constB55) | v118(constB55))),
% 218.29/140.89 inference(tautology,[status(thm)],[])).
% 218.29/140.89 tff(18200,plain,
% 218.29/140.89 ((~v108(constB55)) | (v109(constB55) | v118(constB55))),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18199, 18198])).
% 218.29/140.89 tff(18201,plain,
% 218.29/140.89 (~v108(constB55)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18200, 18195])).
% 218.29/140.89 tff(18202,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 0) <=> v84(constB54, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 0) <=> v84(constB54, 0)))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18203,plain,
% 218.29/140.89 (($false | $false | (v84(constB55, 0) <=> v84(constB54, 0))) <=> (v84(constB55, 0) <=> v84(constB54, 0))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18204,plain,
% 218.29/140.89 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB55, 0) <=> v84(constB54, 0))) <=> ($false | $false | (v84(constB55, 0) <=> v84(constB54, 0)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.89 tff(18205,plain,
% 218.29/140.89 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB55, 0) <=> v84(constB54, 0))) <=> (v84(constB55, 0) <=> v84(constB54, 0))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18204, 18203])).
% 218.29/140.89 tff(18206,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB55, 0) <=> v84(constB54, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 0) <=> v84(constB54, 0)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[18205])).
% 218.29/140.89 tff(18207,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB55, 0) <=> v84(constB54, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 0) <=> v84(constB54, 0)))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18206, 18202])).
% 218.29/140.89 tff(18208,plain,
% 218.29/140.89 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB55, 0) <=> v84(constB54, 0)))),
% 218.29/140.89 inference(quant_inst,[status(thm)],[])).
% 218.29/140.89 tff(18209,plain,
% 218.29/140.89 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB55, B) <=> v84(constB54, B)))) | (v84(constB55, 0) <=> v84(constB54, 0))),
% 218.29/140.89 inference(modus_ponens,[status(thm)],[18208, 18207])).
% 218.29/140.89 tff(18210,plain,
% 218.29/140.89 (v84(constB55, 0) <=> v84(constB54, 0)),
% 218.29/140.89 inference(unit_resolution,[status(thm)],[18209, 16600])).
% 218.29/140.89 tff(18211,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 0) <=> v84(constB53, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 0) <=> v84(constB53, 0)))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18212,plain,
% 218.29/140.89 (($false | $false | (v84(constB54, 0) <=> v84(constB53, 0))) <=> (v84(constB54, 0) <=> v84(constB53, 0))),
% 218.29/140.89 inference(rewrite,[status(thm)],[])).
% 218.29/140.89 tff(18213,plain,
% 218.29/140.89 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB54, 0) <=> v84(constB53, 0))) <=> ($false | $false | (v84(constB54, 0) <=> v84(constB53, 0)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.89 tff(18214,plain,
% 218.29/140.89 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB54, 0) <=> v84(constB53, 0))) <=> (v84(constB54, 0) <=> v84(constB53, 0))),
% 218.29/140.89 inference(transitivity,[status(thm)],[18213, 18212])).
% 218.29/140.89 tff(18215,plain,
% 218.29/140.89 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB54, 0) <=> v84(constB53, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 0) <=> v84(constB53, 0)))),
% 218.29/140.89 inference(monotonicity,[status(thm)],[18214])).
% 218.29/140.90 tff(18216,plain,
% 218.29/140.90 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB54, 0) <=> v84(constB53, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 0) <=> v84(constB53, 0)))),
% 218.29/140.90 inference(transitivity,[status(thm)],[18215, 18211])).
% 218.29/140.90 tff(18217,plain,
% 218.29/140.90 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB54, 0) <=> v84(constB53, 0)))),
% 218.29/140.90 inference(quant_inst,[status(thm)],[])).
% 218.29/140.90 tff(18218,plain,
% 218.29/140.90 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | (v84(constB54, 0) <=> v84(constB53, 0))),
% 218.29/140.90 inference(modus_ponens,[status(thm)],[18217, 18216])).
% 218.29/140.90 tff(18219,plain,
% 218.29/140.90 (v84(constB54, 0) <=> v84(constB53, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18218, 18103])).
% 218.29/140.90 tff(18220,plain,
% 218.29/140.90 ((~(v84(constB54, 0) <=> v84(constB53, 0))) | v84(constB54, 0) | (~v84(constB53, 0))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18221,plain,
% 218.29/140.90 ((~(v84(constB54, 0) <=> v84(constB53, 0))) | v84(constB54, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18220, 17724])).
% 218.29/140.90 tff(18222,plain,
% 218.29/140.90 (v84(constB54, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18221, 18219])).
% 218.29/140.90 tff(18223,plain,
% 218.29/140.90 ((~(v84(constB55, 0) <=> v84(constB54, 0))) | v84(constB55, 0) | (~v84(constB54, 0))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18224,plain,
% 218.29/140.90 ((~(v84(constB55, 0) <=> v84(constB54, 0))) | v84(constB55, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18223, 18222])).
% 218.29/140.90 tff(18225,plain,
% 218.29/140.90 (v84(constB55, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18224, 18210])).
% 218.29/140.90 tff(18226,plain,
% 218.29/140.90 ((v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))) | (~v84(constB55, 0))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18227,plain,
% 218.29/140.90 (v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18226, 18225])).
% 218.29/140.90 tff(18228,assumption,(~(v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1)))))), introduced(assumption)).
% 218.29/140.90 tff(18229,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))))))),
% 218.29/140.90 inference(rewrite,[status(thm)],[])).
% 218.29/140.90 tff(18230,plain,
% 218.29/140.90 ((v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 1)) | (~v84(constB55, 2))))) <=> (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1)))))),
% 218.29/140.90 inference(rewrite,[status(thm)],[])).
% 218.29/140.90 tff(18231,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 1)) | (~v84(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))))))),
% 218.29/140.90 inference(monotonicity,[status(thm)],[18230])).
% 218.29/140.90 tff(18232,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 1)) | (~v84(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))))))),
% 218.29/140.90 inference(transitivity,[status(thm)],[18231, 18229])).
% 218.29/140.90 tff(18233,plain,
% 218.29/140.90 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 1)) | (~v84(constB55, 2)))))),
% 218.29/140.90 inference(quant_inst,[status(thm)],[])).
% 218.29/140.90 tff(18234,plain,
% 218.29/140.90 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1)))))),
% 218.29/140.90 inference(modus_ponens,[status(thm)],[18233, 18232])).
% 218.29/140.90 tff(18235,plain,
% 218.29/140.90 ($false),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18234, 318, 18228])).
% 218.29/140.90 tff(18236,plain,(v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.90 tff(18237,plain,
% 218.29/140.90 ((~(v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1)))))) | (~v119(constB55)) | (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18238,plain,
% 218.29/140.90 ((~v119(constB55)) | (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18237, 18236])).
% 218.29/140.90 tff(18239,plain,
% 218.29/140.90 (~v119(constB55)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18238, 18227])).
% 218.29/140.90 tff(18240,plain,
% 218.29/140.90 ((~(v108(constB55) | v119(constB55))) | v108(constB55) | v119(constB55)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18241,plain,
% 218.29/140.90 ((~(v108(constB55) | v119(constB55))) | v108(constB55)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18240, 18239])).
% 218.29/140.90 tff(18242,plain,
% 218.29/140.90 (~(v108(constB55) | v119(constB55))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18241, 18201])).
% 218.29/140.90 tff(18243,plain,
% 218.29/140.90 ((~(v107(constB55) <=> (v108(constB55) | v119(constB55)))) | (~v107(constB55)) | (v108(constB55) | v119(constB55))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18244,plain,
% 218.29/140.90 (~v107(constB55)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18243, 18242, 15882])).
% 218.29/140.90 tff(18245,plain,
% 218.29/140.90 (((~v107(constB55)) | (~v120(constB55))) | v107(constB55)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18246,plain,
% 218.29/140.90 ((~v107(constB55)) | (~v120(constB55))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18245, 18244])).
% 218.29/140.90 tff(18247,plain,
% 218.29/140.90 ((~(v106(constB55) <=> (~((~v107(constB55)) | (~v120(constB55)))))) | (~v106(constB55)) | (~((~v107(constB55)) | (~v120(constB55))))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18248,plain,
% 218.29/140.90 ((~v106(constB55)) | (~((~v107(constB55)) | (~v120(constB55))))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18247, 15939])).
% 218.29/140.90 tff(18249,plain,
% 218.29/140.90 (~v106(constB55)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18248, 18246])).
% 218.29/140.90 tff(18250,plain,
% 218.29/140.90 ((~(v105(constB55) | v106(constB55))) | v105(constB55) | v106(constB55)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18251,plain,
% 218.29/140.90 ((~(v105(constB55) | v106(constB55))) | v106(constB55)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18250, 15475])).
% 218.29/140.90 tff(18252,plain,
% 218.29/140.90 (~(v105(constB55) | v106(constB55))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18251, 18249])).
% 218.29/140.90 tff(18253,plain,
% 218.29/140.90 ((~(v102(constB55) <=> (v105(constB55) | v106(constB55)))) | (~v102(constB55)) | (v105(constB55) | v106(constB55))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18254,plain,
% 218.29/140.90 ((~v102(constB55)) | (v105(constB55) | v106(constB55))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18253, 15932])).
% 218.29/140.90 tff(18255,plain,
% 218.29/140.90 (~v102(constB55)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18254, 18252])).
% 218.29/140.90 tff(18256,plain,
% 218.29/140.90 ((~(v104(constB56) <=> v102(constB55))) | (~v104(constB56)) | v102(constB55)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18257,plain,
% 218.29/140.90 ((~v104(constB56)) | v102(constB55)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18256, 15927])).
% 218.29/140.90 tff(18258,plain,
% 218.29/140.90 (~v104(constB56)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18257, 18255])).
% 218.29/140.90 tff(18259,plain,
% 218.29/140.90 (((~v95(constB56)) | (~v104(constB56))) | v104(constB56)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18260,plain,
% 218.29/140.90 ((~v95(constB56)) | (~v104(constB56))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18259, 18258])).
% 218.29/140.90 tff(18261,plain,
% 218.29/140.90 ((~(v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56)))))) | (~v94(constB56)) | (~((~v95(constB56)) | (~v104(constB56))))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18262,plain,
% 218.29/140.90 ((~v94(constB56)) | (~((~v95(constB56)) | (~v104(constB56))))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18261, 15886])).
% 218.29/140.90 tff(18263,plain,
% 218.29/140.90 (~v94(constB56)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18262, 18260])).
% 218.29/140.90 tff(18264,plain,
% 218.29/140.90 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15823, 18263])).
% 218.29/140.90 tff(18265,plain,
% 218.29/140.90 (v84(constB56, 0) <=> v84(constB55, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15832, 18264])).
% 218.29/140.90 tff(18266,plain,
% 218.29/140.90 ((~(v84(constB56, 0) <=> v84(constB55, 0))) | v84(constB56, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15834, 18225])).
% 218.29/140.90 tff(18267,plain,
% 218.29/140.90 (v84(constB56, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18266, 18265])).
% 218.29/140.90 tff(18268,plain,
% 218.29/140.90 ((v84(constB56, 0) | (~v84(constB56, 1)) | (~v84(constB56, 2))) | (~v84(constB56, 0))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18269,plain,
% 218.29/140.90 (v84(constB56, 0) | (~v84(constB56, 1)) | (~v84(constB56, 2))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18268, 18267])).
% 218.29/140.90 tff(18270,assumption,(~(v84(constB56, 1) <=> v84(constB55, 1))), introduced(assumption)).
% 218.29/140.90 tff(18271,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))), introduced(assumption)).
% 218.29/140.90 tff(18272,plain,
% 218.29/140.90 ($false),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15844, 18271, 18270])).
% 218.29/140.90 tff(18273,plain,((v84(constB56, 1) <=> v84(constB55, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.90 tff(18274,plain,
% 218.29/140.90 (v84(constB56, 1) <=> v84(constB55, 1)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18273, 18264])).
% 218.29/140.90 tff(18275,plain,
% 218.29/140.90 (v84(constB56, 1)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15846, 18274, 18118])).
% 218.29/140.90 tff(18276,plain,
% 218.29/140.90 ((v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2)) | (~v84(constB56, 1))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18277,plain,
% 218.29/140.90 (v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18276, 18275])).
% 218.29/140.90 tff(18278,plain,
% 218.29/140.90 (v84(constB57, 1)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15467, 18275])).
% 218.29/140.90 tff(18279,plain,
% 218.29/140.90 ((v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2))) | (~v84(constB57, 1))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18280,plain,
% 218.29/140.90 (v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18279, 18278])).
% 218.29/140.90 tff(18281,plain,
% 218.29/140.90 ((v84(constB56, 1) | (~v84(constB56, 2)) | (~v84(constB56, 0))) | (~v84(constB56, 1))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18282,plain,
% 218.29/140.90 (v84(constB56, 1) | (~v84(constB56, 2)) | (~v84(constB56, 0))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18281, 18275])).
% 218.29/140.90 tff(18283,plain,
% 218.29/140.90 ((v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))) | (~v84(constB57, 1))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18284,plain,
% 218.29/140.90 (v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18283, 18278])).
% 218.29/140.90 tff(18285,assumption,(v108(constB57) | v119(constB57)), introduced(assumption)).
% 218.29/140.90 tff(18286,plain,
% 218.29/140.90 ((v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2)) | (~v84(constB56, 0))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18287,plain,
% 218.29/140.90 (v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18286, 18267])).
% 218.29/140.90 tff(18288,plain,
% 218.29/140.90 (v84(constB56, 2) <=> v84(constB55, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15856, 18264])).
% 218.29/140.90 tff(18289,plain,
% 218.29/140.90 ((~(v84(constB56, 2) <=> v84(constB55, 2))) | v84(constB56, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15858, 18158])).
% 218.29/140.90 tff(18290,plain,
% 218.29/140.90 (v84(constB56, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18289, 18288])).
% 218.29/140.90 tff(18291,plain,
% 218.29/140.90 (((~v84(constB56, 1)) | v84(constB56, 2) | (~v84(constB56, 0))) | (~v84(constB56, 2))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18292,plain,
% 218.29/140.90 ((~v84(constB56, 1)) | v84(constB56, 2) | (~v84(constB56, 0))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18291, 18290])).
% 218.29/140.90 tff(18293,assumption,((~v84(constB56, 1)) | v84(constB56, 2) | (~v84(constB56, 0))), introduced(assumption)).
% 218.29/140.90 tff(18294,plain,
% 218.29/140.90 (v84(constB57, 1)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[16010, 15976, 15980, 15982, 15981, 15977])).
% 218.29/140.90 tff(18295,plain,
% 218.29/140.90 ((~(v84(constB57, 1) <=> v84(constB56, 1))) | (~v84(constB57, 1)) | v84(constB56, 1)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18296,plain,
% 218.29/140.90 ((~(v84(constB57, 1) <=> v84(constB56, 1))) | v84(constB56, 1)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18295, 18294])).
% 218.29/140.90 tff(18297,plain,
% 218.29/140.90 (v84(constB56, 1)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18296, 16001])).
% 218.29/140.90 tff(18298,assumption,(v84(constB56, 1)), introduced(assumption)).
% 218.29/140.90 tff(18299,plain,
% 218.29/140.90 ((~((~v84(constB56, 1)) | v84(constB56, 2) | (~v84(constB56, 0)))) | (~v84(constB56, 1)) | v84(constB56, 2) | (~v84(constB56, 0))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18300,plain,
% 218.29/140.90 (~v84(constB56, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18299, 15445, 18298, 18293])).
% 218.29/140.90 tff(18301,plain,
% 218.29/140.90 ($false),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15993, 18300, 15445, 18298, 15982])).
% 218.29/140.90 tff(18302,plain,(v84(constB56, 2) | (~v84(constB56, 1)) | (~(v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2))) | (~((~v84(constB56, 1)) | v84(constB56, 2) | (~v84(constB56, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.90 tff(18303,plain,
% 218.29/140.90 (v84(constB56, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18302, 18297, 15982, 18293])).
% 218.29/140.90 tff(18304,plain,
% 218.29/140.90 ((~(v84(constB57, 2) <=> v84(constB56, 2))) | v84(constB57, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15985, 18303])).
% 218.29/140.90 tff(18305,plain,
% 218.29/140.90 (v84(constB57, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18304, 15444])).
% 218.29/140.90 tff(18306,plain,
% 218.29/140.90 (((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0))) | (~v84(constB57, 2))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18307,plain,
% 218.29/140.90 ((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18306, 18305])).
% 218.29/140.90 tff(18308,plain,
% 218.29/140.90 ((~(v116(constB57) <=> (~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0)))))) | (~v116(constB57)) | (~((~v84(constB57, 1)) | v84(constB57, 2) | (~v84(constB57, 0))))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18309,plain,
% 218.29/140.90 (~v116(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18308, 18307, 15299])).
% 218.29/140.90 tff(18310,plain,
% 218.29/140.90 ((~(v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))))) | (~v114(constB57)) | (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18311,plain,
% 218.29/140.90 ((~(v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))))) | (~v114(constB57))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18310, 15977])).
% 218.29/140.90 tff(18312,plain,
% 218.29/140.90 (~v114(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18311, 15366])).
% 218.29/140.90 tff(18313,plain,
% 218.29/140.90 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 1) | v84(constB57, 2))))),
% 218.29/140.90 inference(quant_inst,[status(thm)],[])).
% 218.29/140.90 tff(18314,plain,
% 218.29/140.90 (v113(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 1) | v84(constB57, 2)))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18313, 597])).
% 218.29/140.90 tff(18315,plain,
% 218.29/140.90 ((v84(constB57, 0) | v84(constB57, 1) | v84(constB57, 2)) | (~v84(constB57, 1))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18316,plain,
% 218.29/140.90 (v84(constB57, 0) | v84(constB57, 1) | v84(constB57, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18315, 18294])).
% 218.29/140.90 tff(18317,plain,
% 218.29/140.90 ((~(v113(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 1) | v84(constB57, 2))))) | (~v113(constB57)) | (~(v84(constB57, 0) | v84(constB57, 1) | v84(constB57, 2)))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18318,plain,
% 218.29/140.90 ((~(v113(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 1) | v84(constB57, 2))))) | (~v113(constB57))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18317, 18316])).
% 218.29/140.90 tff(18319,plain,
% 218.29/140.90 (~v113(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18318, 18314])).
% 218.29/140.90 tff(18320,plain,
% 218.29/140.90 ((~(v113(constB57) | v114(constB57))) | v113(constB57) | v114(constB57)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18321,plain,
% 218.29/140.90 (~(v113(constB57) | v114(constB57))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18320, 18319, 18312])).
% 218.29/140.90 tff(18322,plain,
% 218.29/140.90 ((~(v112(constB57) <=> (v113(constB57) | v114(constB57)))) | (~v112(constB57)) | (v113(constB57) | v114(constB57))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18323,plain,
% 218.29/140.90 ((~(v112(constB57) <=> (v113(constB57) | v114(constB57)))) | (~v112(constB57))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18322, 18321])).
% 218.29/140.90 tff(18324,plain,
% 218.29/140.90 (~v112(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18323, 15368])).
% 218.29/140.90 tff(18325,plain,
% 218.29/140.90 (v115(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15342, 622])).
% 218.29/140.90 tff(18326,plain,
% 218.29/140.90 ((v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)) | (~v84(constB57, 2))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18327,plain,
% 218.29/140.90 (v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18326, 18305])).
% 218.29/140.90 tff(18328,plain,
% 218.29/140.90 ((~(v115(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2))))) | (~v115(constB57)) | (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18329,plain,
% 218.29/140.90 (~v115(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18328, 18327, 18325])).
% 218.29/140.90 tff(18330,plain,
% 218.29/140.90 ((~(v112(constB57) | v115(constB57))) | v112(constB57) | v115(constB57)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18331,plain,
% 218.29/140.90 (~(v112(constB57) | v115(constB57))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18330, 18329, 18324])).
% 218.29/140.90 tff(18332,plain,
% 218.29/140.90 ((~(v111(constB57) <=> (v112(constB57) | v115(constB57)))) | (~v111(constB57)) | (v112(constB57) | v115(constB57))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18333,plain,
% 218.29/140.90 (~v111(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18332, 18331, 15346])).
% 218.29/140.90 tff(18334,plain,
% 218.29/140.90 ((~(v111(constB57) | v116(constB57))) | v111(constB57) | v116(constB57)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18335,plain,
% 218.29/140.90 (~(v111(constB57) | v116(constB57))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18334, 18333, 18309])).
% 218.29/140.90 tff(18336,plain,
% 218.29/140.90 ((~(v110(constB57) <=> (v111(constB57) | v116(constB57)))) | (~v110(constB57)) | (v111(constB57) | v116(constB57))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18337,plain,
% 218.29/140.90 (~v110(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18336, 18335, 15301])).
% 218.29/140.90 tff(18338,plain,
% 218.29/140.90 (v119(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2))))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15359, 318])).
% 218.29/140.90 tff(18339,assumption,(v84(constB56, 0) | (~v84(constB56, 1)) | (~v84(constB56, 2))), introduced(assumption)).
% 218.29/140.90 tff(18340,plain,
% 218.29/140.90 ((~(v84(constB56, 0) | (~v84(constB56, 1)) | (~v84(constB56, 2)))) | v84(constB56, 0) | (~v84(constB56, 1)) | (~v84(constB56, 2))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18341,plain,
% 218.29/140.90 (v84(constB56, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18340, 18303, 18297, 18339])).
% 218.29/140.90 tff(18342,plain,
% 218.29/140.90 ((~(v84(constB57, 0) <=> v84(constB56, 0))) | v84(constB57, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[15426, 18341])).
% 218.29/140.90 tff(18343,plain,
% 218.29/140.90 (v84(constB57, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18342, 15988])).
% 218.29/140.90 tff(18344,plain,
% 218.29/140.90 ((v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2))) | (~v84(constB57, 0))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18345,plain,
% 218.29/140.90 (v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18344, 18343])).
% 218.29/140.90 tff(18346,plain,
% 218.29/140.90 ((~(v119(constB57) <=> (~(v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2)))))) | (~v119(constB57)) | (~(v84(constB57, 0) | (~v84(constB57, 1)) | (~v84(constB57, 2))))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18347,plain,
% 218.29/140.90 (~v119(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18346, 18345, 18338])).
% 218.29/140.90 tff(18348,plain,
% 218.29/140.90 ((~(v108(constB57) | v119(constB57))) | v108(constB57) | v119(constB57)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18349,plain,
% 218.29/140.90 (v108(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18348, 18347, 18285])).
% 218.29/140.90 tff(18350,plain,
% 218.29/140.90 ((~(v108(constB57) <=> (v109(constB57) | v118(constB57)))) | (~v108(constB57)) | (v109(constB57) | v118(constB57))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18351,plain,
% 218.29/140.90 (v109(constB57) | v118(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18350, 18349, 16379])).
% 218.29/140.90 tff(18352,plain,
% 218.29/140.90 ((v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0))) | (~v84(constB57, 1))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18353,plain,
% 218.29/140.90 (v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18352, 18294])).
% 218.29/140.90 tff(18354,plain,
% 218.29/140.90 ((~(v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0)))))) | (~v118(constB57)) | (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0))))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18355,plain,
% 218.29/140.90 ((~(v118(constB57) <=> (~(v84(constB57, 1) | (~v84(constB57, 2)) | (~v84(constB57, 0)))))) | (~v118(constB57))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18354, 18353])).
% 218.29/140.90 tff(18356,plain,
% 218.29/140.90 (~v118(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18355, 16437])).
% 218.29/140.90 tff(18357,plain,
% 218.29/140.90 ((~(v109(constB57) | v118(constB57))) | v109(constB57) | v118(constB57)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18358,plain,
% 218.29/140.90 ((~(v109(constB57) | v118(constB57))) | v109(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18357, 18356])).
% 218.29/140.90 tff(18359,plain,
% 218.29/140.90 (v109(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18358, 18351])).
% 218.29/140.90 tff(18360,plain,
% 218.29/140.90 ((~(v109(constB57) <=> (v110(constB57) | v117(constB57)))) | (~v109(constB57)) | (v110(constB57) | v117(constB57))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18361,plain,
% 218.29/140.90 (v110(constB57) | v117(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18360, 18359, 15303])).
% 218.29/140.90 tff(18362,plain,
% 218.29/140.90 ((~(v117(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2)))))) | (~v117(constB57)) | (~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2))))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18363,plain,
% 218.29/140.90 ((~(v117(constB57) <=> (~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2)))))) | (~v117(constB57))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18362, 15976])).
% 218.29/140.90 tff(18364,plain,
% 218.29/140.90 (~v117(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18363, 15330])).
% 218.29/140.90 tff(18365,plain,
% 218.29/140.90 ((~(v110(constB57) | v117(constB57))) | v110(constB57) | v117(constB57)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18366,plain,
% 218.29/140.90 ((~(v110(constB57) | v117(constB57))) | v110(constB57)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18365, 18364])).
% 218.29/140.90 tff(18367,plain,
% 218.29/140.90 ($false),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18366, 18361, 18337])).
% 218.29/140.90 tff(18368,plain,((~(v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2)))) | (~(v108(constB57) | v119(constB57))) | (~(v84(constB56, 0) | (~v84(constB56, 1)) | (~v84(constB56, 2)))) | (~(v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2))) | (~((~v84(constB56, 1)) | v84(constB56, 2) | (~v84(constB56, 0)))) | (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))) | (~(v84(constB56, 1) | (~v84(constB56, 2)) | (~v84(constB56, 0)))) | (~(v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.90 tff(18369,plain,
% 218.29/140.90 ($false),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18368, 18292, 18287, 18285, 18284, 18282, 18280, 18277, 18269])).
% 218.29/140.90 tff(18370,plain,(v94(constB50) | (~(v108(constB57) | v119(constB57)))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.90 tff(18371,plain,
% 218.29/140.90 (v94(constB50)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18370, 16569])).
% 218.29/140.90 tff(18372,plain,
% 218.29/140.90 ((~(v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50)))))) | (~v94(constB50)) | (~((~v95(constB50)) | (~v104(constB50))))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18373,plain,
% 218.29/140.90 ((~v94(constB50)) | (~((~v95(constB50)) | (~v104(constB50))))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18372, 16684])).
% 218.29/140.90 tff(18374,plain,
% 218.29/140.90 (~((~v95(constB50)) | (~v104(constB50)))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18373, 18371])).
% 218.29/140.90 tff(18375,plain,
% 218.29/140.90 (((~v95(constB50)) | (~v104(constB50))) | v104(constB50)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18376,plain,
% 218.29/140.90 (v104(constB50)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18375, 18374])).
% 218.29/140.90 tff(18377,plain,
% 218.29/140.90 ((~(v104(constB50) <=> v102(constB49))) | (~v104(constB50)) | v102(constB49)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18378,plain,
% 218.29/140.90 ((~v104(constB50)) | v102(constB49)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18377, 16725])).
% 218.29/140.90 tff(18379,plain,
% 218.29/140.90 (v102(constB49)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18378, 18376])).
% 218.29/140.90 tff(18380,plain,
% 218.29/140.90 ((~(v102(constB49) <=> (v105(constB49) | v106(constB49)))) | (~v102(constB49)) | (v105(constB49) | v106(constB49))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18381,plain,
% 218.29/140.90 ((~v102(constB49)) | (v105(constB49) | v106(constB49))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18380, 16730])).
% 218.29/140.90 tff(18382,plain,
% 218.29/140.90 (v105(constB49) | v106(constB49)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18381, 18379])).
% 218.29/140.90 tff(18383,plain,
% 218.29/140.90 ((~(v105(constB49) | v106(constB49))) | v105(constB49) | v106(constB49)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18384,plain,
% 218.29/140.90 ((~(v105(constB49) | v106(constB49))) | v106(constB49)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18383, 16749])).
% 218.29/140.90 tff(18385,plain,
% 218.29/140.90 (v106(constB49)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18384, 18382])).
% 218.29/140.90 tff(18386,plain,
% 218.29/140.90 ((~(v106(constB49) <=> (~((~v107(constB49)) | (~v120(constB49)))))) | (~v106(constB49)) | (~((~v107(constB49)) | (~v120(constB49))))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18387,plain,
% 218.29/140.90 ((~v106(constB49)) | (~((~v107(constB49)) | (~v120(constB49))))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18386, 16737])).
% 218.29/140.90 tff(18388,plain,
% 218.29/140.90 (~((~v107(constB49)) | (~v120(constB49)))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18387, 18385])).
% 218.29/140.90 tff(18389,plain,
% 218.29/140.90 (((~v107(constB49)) | (~v120(constB49))) | v107(constB49)),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18390,plain,
% 218.29/140.90 (v107(constB49)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18389, 18388])).
% 218.29/140.90 tff(18391,assumption,(~(v107(constB49) <=> (v108(constB49) | v119(constB49)))), introduced(assumption)).
% 218.29/140.90 tff(18392,plain,
% 218.29/140.90 ($false),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[16675, 187, 18391])).
% 218.29/140.90 tff(18393,plain,(v107(constB49) <=> (v108(constB49) | v119(constB49))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.90 tff(18394,plain,
% 218.29/140.90 ((~(v107(constB49) <=> (v108(constB49) | v119(constB49)))) | (~v107(constB49)) | (v108(constB49) | v119(constB49))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18395,plain,
% 218.29/140.90 ((~v107(constB49)) | (v108(constB49) | v119(constB49))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18394, 18393])).
% 218.29/140.90 tff(18396,plain,
% 218.29/140.90 (v108(constB49) | v119(constB49)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18395, 18390])).
% 218.29/140.90 tff(18397,assumption,(v108(constB49) | v119(constB49)), introduced(assumption)).
% 218.29/140.90 tff(18398,assumption,(~(v105(constB47) | v106(constB47))), introduced(assumption)).
% 218.29/140.90 tff(18399,plain,
% 218.29/140.90 (~v106(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17331, 18398])).
% 218.29/140.90 tff(18400,plain,
% 218.29/140.90 ((~v107(constB47)) | (~v120(constB47))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17336, 18399])).
% 218.29/140.90 tff(18401,plain,
% 218.29/140.90 (~v107(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17344, 18400])).
% 218.29/140.90 tff(18402,plain,
% 218.29/140.90 (~(v108(constB47) | v119(constB47))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17349, 18401])).
% 218.29/140.90 tff(18403,plain,
% 218.29/140.90 (~v108(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17351, 18402])).
% 218.29/140.90 tff(18404,plain,
% 218.29/140.90 (~(v109(constB47) | v118(constB47))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17356, 18403])).
% 218.29/140.90 tff(18405,plain,
% 218.29/140.90 (~v109(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17358, 18404])).
% 218.29/140.90 tff(18406,plain,
% 218.29/140.90 (~(v110(constB47) | v117(constB47))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17363, 18405])).
% 218.29/140.90 tff(18407,plain,
% 218.29/140.90 (~v110(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17365, 18406])).
% 218.29/140.90 tff(18408,assumption,(~(v110(constB47) <=> (v111(constB47) | v116(constB47)))), introduced(assumption)).
% 218.29/140.90 tff(18409,plain,
% 218.29/140.90 ($false),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17276, 265, 18408])).
% 218.29/140.90 tff(18410,plain,(v110(constB47) <=> (v111(constB47) | v116(constB47))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.90 tff(18411,plain,
% 218.29/140.90 (v110(constB47) | (~(v111(constB47) | v116(constB47)))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17367, 18410])).
% 218.29/140.90 tff(18412,plain,
% 218.29/140.90 (~(v111(constB47) | v116(constB47))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18411, 18407])).
% 218.29/140.90 tff(18413,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1))))))),
% 218.29/140.90 inference(rewrite,[status(thm)],[])).
% 218.29/140.90 tff(18414,plain,
% 218.29/140.90 ((v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 1)) | (~v84(constB47, 0))))) <=> (v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1)))))),
% 218.29/140.90 inference(rewrite,[status(thm)],[])).
% 218.29/140.90 tff(18415,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 1)) | (~v84(constB47, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1))))))),
% 218.29/140.90 inference(monotonicity,[status(thm)],[18414])).
% 218.29/140.90 tff(18416,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 1)) | (~v84(constB47, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1))))))),
% 218.29/140.90 inference(transitivity,[status(thm)],[18415, 18413])).
% 218.29/140.90 tff(18417,plain,
% 218.29/140.90 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 1)) | (~v84(constB47, 0)))))),
% 218.29/140.90 inference(quant_inst,[status(thm)],[])).
% 218.29/140.90 tff(18418,plain,
% 218.29/140.90 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1)))))),
% 218.29/140.90 inference(modus_ponens,[status(thm)],[18417, 18416])).
% 218.29/140.90 tff(18419,plain,
% 218.29/140.90 (v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1))))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18418, 521])).
% 218.29/140.90 tff(18420,assumption,(~(v111(constB47) | v116(constB47))), introduced(assumption)).
% 218.29/140.90 tff(18421,plain,
% 218.29/140.90 ((v111(constB47) | v116(constB47)) | (~v116(constB47))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18422,plain,
% 218.29/140.90 (~v116(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18421, 18420])).
% 218.29/140.90 tff(18423,plain,
% 218.29/140.90 ((~(v116(constB47) <=> (~(v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1)))))) | v116(constB47) | (v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1)))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18424,plain,
% 218.29/140.90 (v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18423, 18422, 18419])).
% 218.29/140.90 tff(18425,plain,
% 218.29/140.90 (~v111(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17370, 18420])).
% 218.29/140.90 tff(18426,plain,
% 218.29/140.90 (~(v112(constB47) | v115(constB47))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17372, 18425, 17275])).
% 218.29/140.90 tff(18427,plain,
% 218.29/140.90 (~v112(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17375, 18426])).
% 218.29/140.90 tff(18428,plain,
% 218.29/140.90 (~(v113(constB47) | v114(constB47))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17382, 18427])).
% 218.29/140.90 tff(18429,plain,
% 218.29/140.90 (~v113(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17272, 18428])).
% 218.29/140.90 tff(18430,plain,
% 218.29/140.90 (v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17269, 18429, 16854])).
% 218.29/140.90 tff(18431,assumption,(~v84(constB47, 2)), introduced(assumption)).
% 218.29/140.90 tff(18432,plain,
% 218.29/140.90 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0)))))),
% 218.29/140.90 inference(quant_inst,[status(thm)],[])).
% 218.29/140.90 tff(18433,plain,
% 218.29/140.90 (v114(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0))))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18432, 298])).
% 218.29/140.90 tff(18434,plain,
% 218.29/140.90 ((v113(constB47) | v114(constB47)) | (~v114(constB47))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18435,plain,
% 218.29/140.90 (~v114(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18434, 18428])).
% 218.29/140.90 tff(18436,plain,
% 218.29/140.90 ((~(v114(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0)))))) | v114(constB47) | (v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0)))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18437,plain,
% 218.29/140.90 (v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18436, 18435, 18433])).
% 218.29/140.90 tff(18438,assumption,(v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2)), introduced(assumption)).
% 218.29/140.90 tff(18439,assumption,(~v84(constB47, 1)), introduced(assumption)).
% 218.29/140.90 tff(18440,assumption,(v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0))), introduced(assumption)).
% 218.29/140.90 tff(18441,plain,
% 218.29/140.90 ((~(v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0)))) | v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18442,plain,
% 218.29/140.90 (~v84(constB47, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18441, 18439, 18431, 18440])).
% 218.29/140.90 tff(18443,plain,
% 218.29/140.90 ((~(v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2))) | v84(constB47, 0) | v84(constB47, 1)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[17267, 18431])).
% 218.29/140.90 tff(18444,plain,
% 218.29/140.90 ($false),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18443, 18442, 18439, 18438])).
% 218.29/140.90 tff(18445,plain,(v84(constB47, 1) | (~(v84(constB47, 0) | v84(constB47, 1) | v84(constB47, 2))) | v84(constB47, 2) | (~(v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.90 tff(18446,plain,
% 218.29/140.90 (v84(constB47, 1)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18445, 18437, 18431, 18430])).
% 218.29/140.90 tff(18447,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB47) <=> (~(v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB47) <=> (~(v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1))))))),
% 218.29/140.90 inference(rewrite,[status(thm)],[])).
% 218.29/140.90 tff(18448,plain,
% 218.29/140.90 ((v115(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 2) | (~v84(constB47, 1))))) <=> (v115(constB47) <=> (~(v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1)))))),
% 218.29/140.90 inference(rewrite,[status(thm)],[])).
% 218.29/140.90 tff(18449,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 2) | (~v84(constB47, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB47) <=> (~(v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1))))))),
% 218.29/140.90 inference(monotonicity,[status(thm)],[18448])).
% 218.29/140.90 tff(18450,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 2) | (~v84(constB47, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB47) <=> (~(v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1))))))),
% 218.29/140.90 inference(transitivity,[status(thm)],[18449, 18447])).
% 218.29/140.90 tff(18451,plain,
% 218.29/140.90 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 2) | (~v84(constB47, 1)))))),
% 218.29/140.90 inference(quant_inst,[status(thm)],[])).
% 218.29/140.90 tff(18452,plain,
% 218.29/140.90 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB47) <=> (~(v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1)))))),
% 218.29/140.90 inference(modus_ponens,[status(thm)],[18451, 18450])).
% 218.29/140.90 tff(18453,plain,
% 218.29/140.90 (v115(constB47) <=> (~(v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1))))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18452, 622])).
% 218.29/140.90 tff(18454,plain,
% 218.29/140.90 ((v112(constB47) | v115(constB47)) | (~v115(constB47))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18455,plain,
% 218.29/140.90 (~v115(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18454, 18426])).
% 218.29/140.90 tff(18456,plain,
% 218.29/140.90 ((~(v115(constB47) <=> (~(v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1)))))) | v115(constB47) | (v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1)))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18457,plain,
% 218.29/140.90 (v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18456, 18455, 18453])).
% 218.29/140.90 tff(18458,plain,
% 218.29/140.90 ((~(v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1)))) | v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18459,plain,
% 218.29/140.90 ((~(v84(constB47, 2) | v84(constB47, 0) | (~v84(constB47, 1)))) | v84(constB47, 0) | (~v84(constB47, 1))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18458, 18431])).
% 218.29/140.90 tff(18460,plain,
% 218.29/140.90 (v84(constB47, 0)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18459, 18446, 18457])).
% 218.29/140.90 tff(18461,plain,
% 218.29/140.90 ((~(v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1)))) | v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18462,plain,
% 218.29/140.90 ((~(v84(constB47, 2) | (~v84(constB47, 0)) | (~v84(constB47, 1)))) | (~v84(constB47, 0)) | (~v84(constB47, 1))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18461, 18431])).
% 218.29/140.90 tff(18463,plain,
% 218.29/140.90 ($false),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18462, 18460, 18446, 18424])).
% 218.29/140.90 tff(18464,plain,((v111(constB47) | v116(constB47)) | v84(constB47, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.90 tff(18465,plain,
% 218.29/140.90 (v84(constB47, 2)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18464, 18412])).
% 218.29/140.90 tff(18466,assumption,(~(v118(constB47) <=> (~(v84(constB47, 1) | (~v84(constB47, 0)) | (~v84(constB47, 2)))))), introduced(assumption)).
% 218.29/140.90 tff(18467,plain,
% 218.29/140.90 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB47) <=> (~(v84(constB47, 1) | (~v84(constB47, 0)) | (~v84(constB47, 2)))))),
% 218.29/140.90 inference(quant_inst,[status(thm)],[])).
% 218.29/140.90 tff(18468,plain,
% 218.29/140.90 ($false),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18467, 394, 18466])).
% 218.29/140.90 tff(18469,plain,(v118(constB47) <=> (~(v84(constB47, 1) | (~v84(constB47, 0)) | (~v84(constB47, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.90 tff(18470,plain,
% 218.29/140.90 ((v109(constB47) | v118(constB47)) | (~v118(constB47))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18471,plain,
% 218.29/140.90 (~v118(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18470, 18404])).
% 218.29/140.90 tff(18472,plain,
% 218.29/140.90 ((~(v118(constB47) <=> (~(v84(constB47, 1) | (~v84(constB47, 0)) | (~v84(constB47, 2)))))) | v118(constB47) | (v84(constB47, 1) | (~v84(constB47, 0)) | (~v84(constB47, 2)))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18473,plain,
% 218.29/140.90 (v84(constB47, 1) | (~v84(constB47, 0)) | (~v84(constB47, 2))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18472, 18471, 18469])).
% 218.29/140.90 tff(18474,plain,
% 218.29/140.90 ((v110(constB47) | v117(constB47)) | (~v117(constB47))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18475,plain,
% 218.29/140.90 (~v117(constB47)),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18474, 18406])).
% 218.29/140.90 tff(18476,assumption,(~(v117(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2)))))), introduced(assumption)).
% 218.29/140.90 tff(18477,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2))))))),
% 218.29/140.90 inference(rewrite,[status(thm)],[])).
% 218.29/140.90 tff(18478,plain,
% 218.29/140.90 ((v117(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 1) | (~v84(constB47, 2))))) <=> (v117(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2)))))),
% 218.29/140.90 inference(rewrite,[status(thm)],[])).
% 218.29/140.90 tff(18479,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 1) | (~v84(constB47, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2))))))),
% 218.29/140.90 inference(monotonicity,[status(thm)],[18478])).
% 218.29/140.90 tff(18480,plain,
% 218.29/140.90 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 1) | (~v84(constB47, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2))))))),
% 218.29/140.90 inference(transitivity,[status(thm)],[18479, 18477])).
% 218.29/140.90 tff(18481,plain,
% 218.29/140.90 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB47) <=> (~(v84(constB47, 0) | v84(constB47, 1) | (~v84(constB47, 2)))))),
% 218.29/140.90 inference(quant_inst,[status(thm)],[])).
% 218.29/140.90 tff(18482,plain,
% 218.29/140.90 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2)))))),
% 218.29/140.90 inference(modus_ponens,[status(thm)],[18481, 18480])).
% 218.29/140.90 tff(18483,plain,
% 218.29/140.90 ($false),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18482, 656, 18476])).
% 218.29/140.90 tff(18484,plain,(v117(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.90 tff(18485,plain,
% 218.29/140.90 ((~(v117(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2)))))) | v117(constB47) | (v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2)))),
% 218.29/140.90 inference(tautology,[status(thm)],[])).
% 218.29/140.90 tff(18486,plain,
% 218.29/140.90 (v117(constB47) | (v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2)))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18485, 18484])).
% 218.29/140.90 tff(18487,plain,
% 218.29/140.90 (v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2))),
% 218.29/140.90 inference(unit_resolution,[status(thm)],[18486, 18475])).
% 218.29/140.90 tff(18488,assumption,(v84(constB47, 1) | (~v84(constB47, 0)) | (~v84(constB47, 2))), introduced(assumption)).
% 218.29/140.90 tff(18489,assumption,(v84(constB47, 2)), introduced(assumption)).
% 218.29/140.90 tff(18490,assumption,(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2))), introduced(assumption)).
% 218.29/140.90 tff(18491,plain,
% 218.29/140.90 ((~(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2)))) | v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18492,plain,
% 218.29/140.91 (v84(constB47, 0)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18491, 18439, 18489, 18490])).
% 218.29/140.91 tff(18493,plain,
% 218.29/140.91 ((~(v84(constB47, 1) | (~v84(constB47, 0)) | (~v84(constB47, 2)))) | v84(constB47, 1) | (~v84(constB47, 0)) | (~v84(constB47, 2))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18494,plain,
% 218.29/140.91 ($false),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18493, 18492, 18439, 18489, 18488])).
% 218.29/140.91 tff(18495,plain,(v84(constB47, 1) | (~v84(constB47, 2)) | (~(v84(constB47, 1) | (~v84(constB47, 0)) | (~v84(constB47, 2)))) | (~(v84(constB47, 1) | v84(constB47, 0) | (~v84(constB47, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.91 tff(18496,plain,
% 218.29/140.91 (v84(constB47, 1)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18495, 18487, 18473, 18465])).
% 218.29/140.91 tff(18497,plain,
% 218.29/140.91 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2))))),
% 218.29/140.91 inference(quant_inst,[status(thm)],[])).
% 218.29/140.91 tff(18498,plain,
% 218.29/140.91 (v113(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18497, 597])).
% 218.29/140.91 tff(18499,plain,
% 218.29/140.91 ((~(v113(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2))))) | (~v113(constB49)) | (~(v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18500,plain,
% 218.29/140.91 ((~(v113(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 1) | v84(constB49, 2))))) | (~v113(constB49))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18499, 17388])).
% 218.29/140.91 tff(18501,plain,
% 218.29/140.91 (~v113(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18500, 18498])).
% 218.29/140.91 tff(18502,plain,
% 218.29/140.91 ((~(v102(constB47) <=> (v105(constB47) | v106(constB47)))) | (~v102(constB47)) | (v105(constB47) | v106(constB47))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18503,plain,
% 218.29/140.91 ((~v102(constB47)) | (v105(constB47) | v106(constB47))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18502, 17327])).
% 218.29/140.91 tff(18504,plain,
% 218.29/140.91 (~v102(constB47)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18503, 18398])).
% 218.29/140.91 tff(18505,plain,
% 218.29/140.91 ((~(v104(constB48) <=> v102(constB47))) | (~v104(constB48)) | v102(constB47)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18506,plain,
% 218.29/140.91 ((~v104(constB48)) | v102(constB47)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18505, 17322])).
% 218.29/140.91 tff(18507,plain,
% 218.29/140.91 (~v104(constB48)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18506, 18504])).
% 218.29/140.91 tff(18508,plain,
% 218.29/140.91 (((~v95(constB48)) | (~v104(constB48))) | v104(constB48)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18509,plain,
% 218.29/140.91 ((~v95(constB48)) | (~v104(constB48))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18508, 18507])).
% 218.29/140.91 tff(18510,plain,
% 218.29/140.91 ((~(v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48)))))) | (~v94(constB48)) | (~((~v95(constB48)) | (~v104(constB48))))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18511,plain,
% 218.29/140.91 ((~v94(constB48)) | (~((~v95(constB48)) | (~v104(constB48))))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18510, 17281])).
% 218.29/140.91 tff(18512,plain,
% 218.29/140.91 (~v94(constB48)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18511, 18509])).
% 218.29/140.91 tff(18513,plain,
% 218.29/140.91 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v84(constB47, B)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17229, 18512])).
% 218.29/140.91 tff(18514,plain,
% 218.29/140.91 (v84(constB48, 1) <=> v84(constB47, 1)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17262, 18513])).
% 218.29/140.91 tff(18515,assumption,(v84(constB47, 1)), introduced(assumption)).
% 218.29/140.91 tff(18516,plain,
% 218.29/140.91 ((~(v84(constB48, 1) <=> v84(constB47, 1))) | v84(constB48, 1)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17264, 18515])).
% 218.29/140.91 tff(18517,plain,
% 218.29/140.91 (v84(constB48, 1)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18516, 18514])).
% 218.29/140.91 tff(18518,assumption,(~(v84(constB49, 1) <=> v84(constB48, 1))), introduced(assumption)).
% 218.29/140.91 tff(18519,plain,
% 218.29/140.91 ($false),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[16925, 16892, 18518])).
% 218.29/140.91 tff(18520,plain,(v84(constB49, 1) <=> v84(constB48, 1)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.91 tff(18521,plain,
% 218.29/140.91 (v84(constB49, 1) | (~v84(constB48, 1))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[16927, 18520])).
% 218.29/140.91 tff(18522,plain,
% 218.29/140.91 (v84(constB49, 1)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18521, 18517])).
% 218.29/140.91 tff(18523,plain,
% 218.29/140.91 ((v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))) | (~v84(constB49, 1))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18524,plain,
% 218.29/140.91 (v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18523, 18522])).
% 218.29/140.91 tff(18525,assumption,(~(v114(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0)))))), introduced(assumption)).
% 218.29/140.91 tff(18526,plain,
% 218.29/140.91 ($false),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[16829, 298, 18525])).
% 218.29/140.91 tff(18527,plain,(v114(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.91 tff(18528,plain,
% 218.29/140.91 ((~(v114(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0)))))) | (~v114(constB49)) | (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18529,plain,
% 218.29/140.91 ((~v114(constB49)) | (~(v84(constB49, 1) | v84(constB49, 2) | (~v84(constB49, 0))))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18528, 18527])).
% 218.29/140.91 tff(18530,plain,
% 218.29/140.91 (~v114(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18529, 18524])).
% 218.29/140.91 tff(18531,plain,
% 218.29/140.91 ((~(v113(constB49) | v114(constB49))) | v113(constB49) | v114(constB49)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18532,plain,
% 218.29/140.91 (~(v113(constB49) | v114(constB49))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18531, 18530, 18501])).
% 218.29/140.91 tff(18533,plain,
% 218.29/140.91 ((~(v112(constB49) <=> (v113(constB49) | v114(constB49)))) | (~v112(constB49)) | (v113(constB49) | v114(constB49))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18534,plain,
% 218.29/140.91 ((~(v112(constB49) <=> (v113(constB49) | v114(constB49)))) | (~v112(constB49))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18533, 18532])).
% 218.29/140.91 tff(18535,plain,
% 218.29/140.91 (~v112(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18534, 16832])).
% 218.29/140.91 tff(18536,plain,
% 218.29/140.91 (v84(constB48, 2) <=> v84(constB47, 2)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17238, 18513])).
% 218.29/140.91 tff(18537,plain,
% 218.29/140.91 ((~(v84(constB48, 2) <=> v84(constB47, 2))) | v84(constB48, 2)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17240, 18489])).
% 218.29/140.91 tff(18538,plain,
% 218.29/140.91 (v84(constB48, 2)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18537, 18536])).
% 218.29/140.91 tff(18539,plain,
% 218.29/140.91 (v84(constB49, 2)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[16904, 18538])).
% 218.29/140.91 tff(18540,plain,
% 218.29/140.91 ((v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))) | (~v84(constB49, 2))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18541,plain,
% 218.29/140.91 (v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18540, 18539])).
% 218.29/140.91 tff(18542,plain,
% 218.29/140.91 ((~(v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))))) | (~v115(constB49)) | (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18543,plain,
% 218.29/140.91 ((~(v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))))) | (~v115(constB49))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18542, 18541])).
% 218.29/140.91 tff(18544,plain,
% 218.29/140.91 (~v115(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18543, 16797])).
% 218.29/140.91 tff(18545,plain,
% 218.29/140.91 ((~(v112(constB49) | v115(constB49))) | v112(constB49) | v115(constB49)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18546,plain,
% 218.29/140.91 ((~(v112(constB49) | v115(constB49))) | v112(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18545, 18544])).
% 218.29/140.91 tff(18547,plain,
% 218.29/140.91 (~(v112(constB49) | v115(constB49))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18546, 18535])).
% 218.29/140.91 tff(18548,plain,
% 218.29/140.91 ((~(v111(constB49) <=> (v112(constB49) | v115(constB49)))) | (~v111(constB49)) | (v112(constB49) | v115(constB49))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18549,plain,
% 218.29/140.91 (~v111(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18548, 18547, 16799])).
% 218.29/140.91 tff(18550,plain,
% 218.29/140.91 ((v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1))) | (~v84(constB49, 2))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18551,plain,
% 218.29/140.91 (v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18550, 18539])).
% 218.29/140.91 tff(18552,plain,
% 218.29/140.91 ((~(v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1)))))) | (~v116(constB49)) | (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1))))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18553,plain,
% 218.29/140.91 ((~(v116(constB49) <=> (~(v84(constB49, 2) | (~v84(constB49, 0)) | (~v84(constB49, 1)))))) | (~v116(constB49))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18552, 18551])).
% 218.29/140.91 tff(18554,plain,
% 218.29/140.91 (~v116(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18553, 16823])).
% 218.29/140.91 tff(18555,plain,
% 218.29/140.91 ((~(v111(constB49) | v116(constB49))) | v111(constB49) | v116(constB49)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18556,plain,
% 218.29/140.91 ((~(v111(constB49) | v116(constB49))) | v111(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18555, 18554])).
% 218.29/140.91 tff(18557,plain,
% 218.29/140.91 (~(v111(constB49) | v116(constB49))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18556, 18549])).
% 218.29/140.91 tff(18558,plain,
% 218.29/140.91 (v84(constB48, 0) <=> v84(constB47, 0)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17250, 18513])).
% 218.29/140.91 tff(18559,plain,
% 218.29/140.91 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1))))))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18560,plain,
% 218.29/140.91 ((v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 1)) | (~v84(constB47, 2))))) <=> (v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1)))))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18561,plain,
% 218.29/140.91 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 1)) | (~v84(constB47, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1))))))),
% 218.29/140.91 inference(monotonicity,[status(thm)],[18560])).
% 218.29/140.91 tff(18562,plain,
% 218.29/140.91 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 1)) | (~v84(constB47, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1))))))),
% 218.29/140.91 inference(transitivity,[status(thm)],[18561, 18559])).
% 218.29/140.91 tff(18563,plain,
% 218.29/140.91 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 1)) | (~v84(constB47, 2)))))),
% 218.29/140.91 inference(quant_inst,[status(thm)],[])).
% 218.29/140.91 tff(18564,plain,
% 218.29/140.91 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1)))))),
% 218.29/140.91 inference(modus_ponens,[status(thm)],[18563, 18562])).
% 218.29/140.91 tff(18565,plain,
% 218.29/140.91 (v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1))))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18564, 318])).
% 218.29/140.91 tff(18566,plain,
% 218.29/140.91 ((v108(constB47) | v119(constB47)) | (~v119(constB47))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18567,plain,
% 218.29/140.91 (~v119(constB47)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18566, 18402])).
% 218.29/140.91 tff(18568,plain,
% 218.29/140.91 ((~(v119(constB47) <=> (~(v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1)))))) | v119(constB47) | (v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18569,plain,
% 218.29/140.91 (v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18568, 18567, 18565])).
% 218.29/140.91 tff(18570,plain,
% 218.29/140.91 ((~(v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1)))) | v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18571,plain,
% 218.29/140.91 ((~(v84(constB47, 0) | (~v84(constB47, 2)) | (~v84(constB47, 1)))) | v84(constB47, 0) | (~v84(constB47, 1))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18570, 18489])).
% 218.29/140.91 tff(18572,plain,
% 218.29/140.91 (v84(constB47, 0)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18571, 18569, 18515])).
% 218.29/140.91 tff(18573,plain,
% 218.29/140.91 ((~(v84(constB48, 0) <=> v84(constB47, 0))) | v84(constB48, 0)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17252, 18572])).
% 218.29/140.91 tff(18574,plain,
% 218.29/140.91 (v84(constB48, 0)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18573, 18558])).
% 218.29/140.91 tff(18575,plain,
% 218.29/140.91 ((~(v84(constB49, 0) <=> v84(constB48, 0))) | v84(constB49, 0)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[16915, 18574])).
% 218.29/140.91 tff(18576,plain,
% 218.29/140.91 (v84(constB49, 0)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18575, 16914])).
% 218.29/140.91 tff(18577,plain,
% 218.29/140.91 ((v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1))) | (~v84(constB49, 0))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18578,plain,
% 218.29/140.91 (v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18577, 18576])).
% 218.29/140.91 tff(18579,plain,
% 218.29/140.91 ((~(v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1)))))) | (~v119(constB49)) | (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1))))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18580,plain,
% 218.29/140.91 ((~(v119(constB49) <=> (~(v84(constB49, 0) | (~v84(constB49, 2)) | (~v84(constB49, 1)))))) | (~v119(constB49))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18579, 18578])).
% 218.29/140.91 tff(18581,plain,
% 218.29/140.91 (~v119(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18580, 17431])).
% 218.29/140.91 tff(18582,plain,
% 218.29/140.91 ((~(v108(constB49) | v119(constB49))) | v108(constB49) | v119(constB49)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18583,plain,
% 218.29/140.91 (v108(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18582, 18581, 18397])).
% 218.29/140.91 tff(18584,plain,
% 218.29/140.91 ((~(v108(constB49) <=> (v109(constB49) | v118(constB49)))) | (~v108(constB49)) | (v109(constB49) | v118(constB49))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18585,plain,
% 218.29/140.91 ((~(v108(constB49) <=> (v109(constB49) | v118(constB49)))) | (v109(constB49) | v118(constB49))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18584, 18583])).
% 218.29/140.91 tff(18586,plain,
% 218.29/140.91 (v109(constB49) | v118(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18585, 16674])).
% 218.29/140.91 tff(18587,plain,
% 218.29/140.91 ((v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2))) | (~v84(constB49, 1))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18588,plain,
% 218.29/140.91 (v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18587, 18522])).
% 218.29/140.91 tff(18589,plain,
% 218.29/140.91 ((~(v118(constB49) <=> (~(v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2)))))) | (~v118(constB49)) | (~(v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2))))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18590,plain,
% 218.29/140.91 ((~(v118(constB49) <=> (~(v84(constB49, 1) | (~v84(constB49, 0)) | (~v84(constB49, 2)))))) | (~v118(constB49))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18589, 18588])).
% 218.29/140.91 tff(18591,plain,
% 218.29/140.91 (~v118(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18590, 17610])).
% 218.29/140.91 tff(18592,plain,
% 218.29/140.91 ((~(v109(constB49) | v118(constB49))) | v109(constB49) | v118(constB49)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18593,plain,
% 218.29/140.91 ((~(v109(constB49) | v118(constB49))) | v109(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18592, 18591])).
% 218.29/140.91 tff(18594,plain,
% 218.29/140.91 (v109(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18593, 18586])).
% 218.29/140.91 tff(18595,plain,
% 218.29/140.91 ((~(v109(constB49) <=> (v110(constB49) | v117(constB49)))) | (~v109(constB49)) | (v110(constB49) | v117(constB49))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18596,plain,
% 218.29/140.91 (v110(constB49) | v117(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18595, 18594, 16672])).
% 218.29/140.91 tff(18597,plain,
% 218.29/140.91 ((v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2))) | (~v84(constB49, 1))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18598,plain,
% 218.29/140.91 (v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18597, 18522])).
% 218.29/140.91 tff(18599,plain,
% 218.29/140.91 ((~(v117(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))))) | (~v117(constB49)) | (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2))))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18600,plain,
% 218.29/140.91 ((~(v117(constB49) <=> (~(v84(constB49, 1) | v84(constB49, 0) | (~v84(constB49, 2)))))) | (~v117(constB49))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18599, 18598])).
% 218.29/140.91 tff(18601,plain,
% 218.29/140.91 (~v117(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18600, 16670])).
% 218.29/140.91 tff(18602,plain,
% 218.29/140.91 ((~(v110(constB49) | v117(constB49))) | v110(constB49) | v117(constB49)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18603,plain,
% 218.29/140.91 ((~(v110(constB49) | v117(constB49))) | v110(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18602, 18601])).
% 218.29/140.91 tff(18604,plain,
% 218.29/140.91 (v110(constB49)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18603, 18596])).
% 218.29/140.91 tff(18605,plain,
% 218.29/140.91 ((~(v110(constB49) <=> (v111(constB49) | v116(constB49)))) | (~v110(constB49)) | (v111(constB49) | v116(constB49))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18606,plain,
% 218.29/140.91 ($false),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18605, 18604, 18557, 16801])).
% 218.29/140.91 tff(18607,plain,((v105(constB47) | v106(constB47)) | (~(v108(constB49) | v119(constB49))) | (~v84(constB47, 2)) | (~v84(constB47, 1))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.91 tff(18608,plain,
% 218.29/140.91 ($false),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18607, 18496, 18465, 18398, 18397])).
% 218.29/140.91 tff(18609,plain,((v105(constB47) | v106(constB47)) | (~(v108(constB49) | v119(constB49)))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.91 tff(18610,plain,
% 218.29/140.91 (v105(constB47) | v106(constB47)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18609, 18396])).
% 218.29/140.91 tff(18611,plain,
% 218.29/140.91 (v102(constB47)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17329, 18610])).
% 218.29/140.91 tff(18612,plain,
% 218.29/140.91 (v104(constB48)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17324, 18611])).
% 218.29/140.91 tff(18613,plain,
% 218.29/140.91 (~((~v95(constB48)) | (~v104(constB48)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17317, 18612])).
% 218.29/140.91 tff(18614,plain,
% 218.29/140.91 (v94(constB48)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17283, 18613])).
% 218.29/140.91 tff(18615,plain,
% 218.29/140.91 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[17221, 18614])).
% 218.29/140.91 tff(18616,assumption,(~(v84(constB48, 2) <=> v123(constB48, 2))), introduced(assumption)).
% 218.29/140.91 tff(18617,plain,
% 218.29/140.91 ($false),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[16980, 16972, 18616])).
% 218.29/140.91 tff(18618,plain,((v84(constB48, 2) <=> v123(constB48, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB48, B) <=> v123(constB48, B))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.91 tff(18619,plain,
% 218.29/140.91 (v84(constB48, 2) <=> v123(constB48, 2)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18618, 18615])).
% 218.29/140.91 tff(18620,assumption,(~v94(constB54)), introduced(assumption)).
% 218.29/140.91 tff(18621,plain,
% 218.29/140.91 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18102, 18620])).
% 218.29/140.91 tff(18622,assumption,(~(v84(constB54, 1) <=> v84(constB53, 1))), introduced(assumption)).
% 218.29/140.91 tff(18623,plain,
% 218.29/140.91 ($false),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18111, 18131, 18622])).
% 218.29/140.91 tff(18624,plain,((v84(constB54, 1) <=> v84(constB53, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.91 tff(18625,plain,
% 218.29/140.91 (v84(constB54, 1) <=> v84(constB53, 1)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18624, 18621])).
% 218.29/140.91 tff(18626,plain,
% 218.29/140.91 ((~(v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54)))))) | v94(constB54) | ((~v95(constB54)) | (~v104(constB54)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18627,plain,
% 218.29/140.91 (v94(constB54) | ((~v95(constB54)) | (~v104(constB54)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18626, 18092])).
% 218.29/140.91 tff(18628,plain,
% 218.29/140.91 ((~v95(constB54)) | (~v104(constB54))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18627, 18620])).
% 218.29/140.91 tff(18629,plain,
% 218.29/140.91 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18630,plain,
% 218.29/140.91 (((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54)))))) <=> ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18631,plain,
% 218.29/140.91 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54)))))))),
% 218.29/140.91 inference(monotonicity,[status(thm)],[18630])).
% 218.29/140.91 tff(18632,plain,
% 218.29/140.91 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))),
% 218.29/140.91 inference(transitivity,[status(thm)],[18631, 18629])).
% 218.29/140.91 tff(18633,plain,
% 218.29/140.91 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54))))))),
% 218.29/140.91 inference(quant_inst,[status(thm)],[])).
% 218.29/140.91 tff(18634,plain,
% 218.29/140.91 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54)))))),
% 218.29/140.91 inference(modus_ponens,[status(thm)],[18633, 18632])).
% 218.29/140.91 tff(18635,plain,
% 218.29/140.91 (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18634, 18079, 37])).
% 218.29/140.91 tff(18636,plain,
% 218.29/140.91 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54)))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18637,plain,
% 218.29/140.91 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54)))),
% 218.29/140.91 inference(quant_inst,[status(thm)],[])).
% 218.29/140.91 tff(18638,plain,
% 218.29/140.91 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54))),
% 218.29/140.91 inference(modus_ponens,[status(thm)],[18637, 18636])).
% 218.29/140.91 tff(18639,plain,
% 218.29/140.91 ((~v96(constB54)) <=> v98(constB54)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18638, 18079, 54])).
% 218.29/140.91 tff(18640,plain,
% 218.29/140.91 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53)))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18641,plain,
% 218.29/140.91 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53)))),
% 218.29/140.91 inference(quant_inst,[status(thm)],[])).
% 218.29/140.91 tff(18642,plain,
% 218.29/140.91 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53))),
% 218.29/140.91 inference(modus_ponens,[status(thm)],[18641, 18640])).
% 218.29/140.91 tff(18643,plain,
% 218.29/140.91 (v98(constB54) <=> v1(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18642, 18079, 68])).
% 218.29/140.91 tff(18644,plain,
% 218.29/140.91 ((~(v98(constB54) <=> v1(constB53))) | (~v98(constB54)) | v1(constB53)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18645,plain,
% 218.29/140.91 ((~(v98(constB54) <=> v1(constB53))) | (~v98(constB54))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18644, 16630])).
% 218.29/140.91 tff(18646,plain,
% 218.29/140.91 (~v98(constB54)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18645, 18643])).
% 218.29/140.91 tff(18647,plain,
% 218.29/140.91 ((~((~v96(constB54)) <=> v98(constB54))) | v96(constB54) | v98(constB54)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18648,plain,
% 218.29/140.91 (v96(constB54)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18647, 18646, 18639])).
% 218.29/140.91 tff(18649,plain,
% 218.29/140.91 (v1(constB54) <=> v1(constB54)),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18650,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54')).
% 218.29/140.91 tff(18651,plain,
% 218.29/140.91 (v1(constB54)),
% 218.29/140.91 inference(modus_ponens,[status(thm)],[18650, 18649])).
% 218.29/140.91 tff(18652,plain,
% 218.29/140.91 ((~((~v1(constB54)) | (~v96(constB54)))) | (~v1(constB54)) | (~v96(constB54))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18653,plain,
% 218.29/140.91 ((~((~v1(constB54)) | (~v96(constB54)))) | (~v96(constB54))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18652, 18651])).
% 218.29/140.91 tff(18654,plain,
% 218.29/140.91 (~((~v1(constB54)) | (~v96(constB54)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18653, 18648])).
% 218.29/140.91 tff(18655,plain,
% 218.29/140.91 ((~(v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54)))))) | v95(constB54) | ((~v1(constB54)) | (~v96(constB54)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18656,plain,
% 218.29/140.91 (v95(constB54)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18655, 18654, 18635])).
% 218.29/140.91 tff(18657,plain,
% 218.29/140.91 ((~((~v95(constB54)) | (~v104(constB54)))) | (~v95(constB54)) | (~v104(constB54))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18658,plain,
% 218.29/140.91 ((~((~v95(constB54)) | (~v104(constB54)))) | (~v104(constB54))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18657, 18656])).
% 218.29/140.91 tff(18659,plain,
% 218.29/140.91 (~v104(constB54)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18658, 18628])).
% 218.29/140.91 tff(18660,plain,
% 218.29/140.91 ((~(v104(constB54) <=> v102(constB53))) | v104(constB54) | (~v102(constB53))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18661,plain,
% 218.29/140.91 (v104(constB54) | (~v102(constB53))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18660, 18083])).
% 218.29/140.91 tff(18662,plain,
% 218.29/140.91 (~v102(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18661, 18659])).
% 218.29/140.91 tff(18663,plain,
% 218.29/140.91 ((~(v102(constB53) <=> (v105(constB53) | v106(constB53)))) | v102(constB53) | (~(v105(constB53) | v106(constB53)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18664,plain,
% 218.29/140.91 (v102(constB53) | (~(v105(constB53) | v106(constB53)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18663, 18073])).
% 218.29/140.91 tff(18665,plain,
% 218.29/140.91 (~(v105(constB53) | v106(constB53))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18664, 18662])).
% 218.29/140.91 tff(18666,plain,
% 218.29/140.91 ((v105(constB53) | v106(constB53)) | (~v106(constB53))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18667,plain,
% 218.29/140.91 (~v106(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18666, 18665])).
% 218.29/140.91 tff(18668,plain,
% 218.29/140.91 ((~(v106(constB53) <=> (~((~v107(constB53)) | (~v120(constB53)))))) | v106(constB53) | ((~v107(constB53)) | (~v120(constB53)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18669,plain,
% 218.29/140.91 (v106(constB53) | ((~v107(constB53)) | (~v120(constB53)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18668, 18058])).
% 218.29/140.91 tff(18670,plain,
% 218.29/140.91 ((~v107(constB53)) | (~v120(constB53))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18669, 18667])).
% 218.29/140.91 tff(18671,plain,
% 218.29/140.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB53)) <=> v105(constB53))),
% 218.29/140.91 inference(quant_inst,[status(thm)],[])).
% 218.29/140.91 tff(18672,plain,
% 218.29/140.91 ((~v120(constB53)) <=> v105(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18671, 144])).
% 218.29/140.91 tff(18673,plain,
% 218.29/140.91 ((~((~v120(constB53)) <=> v105(constB53))) | v120(constB53) | v105(constB53)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18674,plain,
% 218.29/140.91 ((~((~v120(constB53)) <=> v105(constB53))) | v120(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18673, 18068])).
% 218.29/140.91 tff(18675,plain,
% 218.29/140.91 (v120(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18674, 18672])).
% 218.29/140.91 tff(18676,plain,
% 218.29/140.91 ((~((~v107(constB53)) | (~v120(constB53)))) | (~v107(constB53)) | (~v120(constB53))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18677,plain,
% 218.29/140.91 ((~((~v107(constB53)) | (~v120(constB53)))) | (~v107(constB53))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18676, 18675])).
% 218.29/140.91 tff(18678,plain,
% 218.29/140.91 (~v107(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18677, 18670])).
% 218.29/140.91 tff(18679,plain,
% 218.29/140.91 ((~(v107(constB53) <=> (v108(constB53) | v119(constB53)))) | v107(constB53) | (~(v108(constB53) | v119(constB53)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18680,plain,
% 218.29/140.91 ((~(v107(constB53) <=> (v108(constB53) | v119(constB53)))) | (~(v108(constB53) | v119(constB53)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18679, 18678])).
% 218.29/140.91 tff(18681,plain,
% 218.29/140.91 (~(v108(constB53) | v119(constB53))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18680, 16611])).
% 218.29/140.91 tff(18682,plain,
% 218.29/140.91 ((v108(constB53) | v119(constB53)) | (~v108(constB53))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18683,plain,
% 218.29/140.91 (~v108(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18682, 18681])).
% 218.29/140.91 tff(18684,plain,
% 218.29/140.91 ((~(v108(constB53) <=> (v109(constB53) | v118(constB53)))) | v108(constB53) | (~(v109(constB53) | v118(constB53)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18685,plain,
% 218.29/140.91 ((~(v108(constB53) <=> (v109(constB53) | v118(constB53)))) | (~(v109(constB53) | v118(constB53)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18684, 18683])).
% 218.29/140.91 tff(18686,plain,
% 218.29/140.91 (~(v109(constB53) | v118(constB53))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18685, 17731])).
% 218.29/140.91 tff(18687,plain,
% 218.29/140.91 ((v109(constB53) | v118(constB53)) | (~v118(constB53))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18688,plain,
% 218.29/140.91 (~v118(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18687, 18686])).
% 218.29/140.91 tff(18689,plain,
% 218.29/140.91 ((~(v118(constB53) <=> (~(v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2)))))) | v118(constB53) | (v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18690,plain,
% 218.29/140.91 (v118(constB53) | (v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18689, 18042])).
% 218.29/140.91 tff(18691,plain,
% 218.29/140.91 (v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18690, 18688])).
% 218.29/140.91 tff(18692,plain,
% 218.29/140.91 (~(v108(constB53) | v119(constB53))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18679, 18678, 16611])).
% 218.29/140.91 tff(18693,plain,
% 218.29/140.91 (~v108(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18682, 18692])).
% 218.29/140.91 tff(18694,plain,
% 218.29/140.91 (~(v109(constB53) | v118(constB53))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18684, 18693, 17731])).
% 218.29/140.91 tff(18695,assumption,(~v84(constB53, 2)), introduced(assumption)).
% 218.29/140.91 tff(18696,assumption,(v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2)), introduced(assumption)).
% 218.29/140.91 tff(18697,assumption,(v84(constB54, 2)), introduced(assumption)).
% 218.29/140.91 tff(18698,plain,
% 218.29/140.91 ((~(v84(constB54, 2) <=> v84(constB53, 2))) | (~v84(constB54, 2)) | v84(constB53, 2)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18699,plain,
% 218.29/140.91 (~(v84(constB54, 2) <=> v84(constB53, 2))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18698, 18695, 18697])).
% 218.29/140.91 tff(18700,plain,
% 218.29/140.91 ($false),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18139, 18131, 18699])).
% 218.29/140.91 tff(18701,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v84(constB53, B)))) | v84(constB53, 2) | (~v84(constB54, 2))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.91 tff(18702,plain,
% 218.29/140.91 (~v84(constB54, 2)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18701, 18621, 18695])).
% 218.29/140.91 tff(18703,plain,
% 218.29/140.91 ((v109(constB53) | v118(constB53)) | (~v109(constB53))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18704,plain,
% 218.29/140.91 (~v109(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18703, 18694])).
% 218.29/140.91 tff(18705,plain,
% 218.29/140.91 ((~(v109(constB53) <=> (v110(constB53) | v117(constB53)))) | v109(constB53) | (~(v110(constB53) | v117(constB53)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18706,plain,
% 218.29/140.91 (~(v110(constB53) | v117(constB53))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18705, 18704, 17733])).
% 218.29/140.91 tff(18707,plain,
% 218.29/140.91 ((v110(constB53) | v117(constB53)) | (~v110(constB53))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18708,plain,
% 218.29/140.91 (~v110(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18707, 18706])).
% 218.29/140.91 tff(18709,plain,
% 218.29/140.91 ((~(v110(constB53) <=> (v111(constB53) | v116(constB53)))) | v110(constB53) | (~(v111(constB53) | v116(constB53)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18710,plain,
% 218.29/140.91 (~(v111(constB53) | v116(constB53))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18709, 18708, 17735])).
% 218.29/140.91 tff(18711,plain,
% 218.29/140.91 ((v111(constB53) | v116(constB53)) | (~v116(constB53))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18712,plain,
% 218.29/140.91 (~v116(constB53)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18711, 18710])).
% 218.29/140.91 tff(18713,plain,
% 218.29/140.91 ((~(v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1)))))) | v116(constB53) | (v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1)))),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18714,plain,
% 218.29/140.91 ((~(v116(constB53) <=> (~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1)))))) | (v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18713, 18712])).
% 218.29/140.91 tff(18715,plain,
% 218.29/140.91 (v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18714, 17912])).
% 218.29/140.91 tff(18716,plain,
% 218.29/140.91 (v84(constB54, 0) <=> v84(constB53, 0)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18218, 18621])).
% 218.29/140.91 tff(18717,assumption,(v84(constB54, 0)), introduced(assumption)).
% 218.29/140.91 tff(18718,plain,
% 218.29/140.91 ((~(v84(constB54, 0) <=> v84(constB53, 0))) | (~v84(constB54, 0)) | v84(constB53, 0)),
% 218.29/140.91 inference(tautology,[status(thm)],[])).
% 218.29/140.91 tff(18719,plain,
% 218.29/140.91 ((~(v84(constB54, 0) <=> v84(constB53, 0))) | v84(constB53, 0)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18718, 18717])).
% 218.29/140.91 tff(18720,plain,
% 218.29/140.91 (v84(constB53, 0)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18719, 18716])).
% 218.29/140.91 tff(18721,assumption,(~v84(constB54, 2)), introduced(assumption)).
% 218.29/140.91 tff(18722,plain,
% 218.29/140.91 (v84(constB54, 2) <=> v84(constB53, 2)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18141, 18621])).
% 218.29/140.91 tff(18723,plain,
% 218.29/140.91 (~v84(constB53, 2)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18143, 18722, 18721])).
% 218.29/140.91 tff(18724,plain,
% 218.29/140.91 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B))))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18725,plain,
% 218.29/140.91 (((~nextState(constB53, constB54)) | ![B: $int] : ((v123(constB54, B) <=> v121(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B))))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18726,plain,
% 218.29/140.91 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB53, constB54)) | ![B: $int] : ((v123(constB54, B) <=> v121(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B)))))),
% 218.29/140.91 inference(monotonicity,[status(thm)],[18725])).
% 218.29/140.91 tff(18727,plain,
% 218.29/140.91 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB53, constB54)) | ![B: $int] : ((v123(constB54, B) <=> v121(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B))))),
% 218.29/140.91 inference(transitivity,[status(thm)],[18726, 18724])).
% 218.29/140.91 tff(18728,plain,
% 218.29/140.91 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB53, constB54)) | ![B: $int] : ((v123(constB54, B) <=> v121(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.91 inference(quant_inst,[status(thm)],[])).
% 218.29/140.91 tff(18729,plain,
% 218.29/140.91 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB53, constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B)))),
% 218.29/140.91 inference(modus_ponens,[status(thm)],[18728, 18727])).
% 218.29/140.91 tff(18730,plain,
% 218.29/140.91 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B)))),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18729, 18079, 1527])).
% 218.29/140.91 tff(18731,plain,
% 218.29/140.91 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B)))) | (v123(constB54, 0) <=> v121(constB53, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B)))) | (v123(constB54, 0) <=> v121(constB53, 0)))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18732,plain,
% 218.29/140.91 (($false | $false | (v123(constB54, 0) <=> v121(constB53, 0))) <=> (v123(constB54, 0) <=> v121(constB53, 0))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18733,plain,
% 218.29/140.91 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB54, 0) <=> v121(constB53, 0))) <=> ($false | $false | (v123(constB54, 0) <=> v121(constB53, 0)))),
% 218.29/140.91 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.91 tff(18734,plain,
% 218.29/140.91 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB54, 0) <=> v121(constB53, 0))) <=> (v123(constB54, 0) <=> v121(constB53, 0))),
% 218.29/140.91 inference(transitivity,[status(thm)],[18733, 18732])).
% 218.29/140.91 tff(18735,plain,
% 218.29/140.91 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB54, 0) <=> v121(constB53, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B)))) | (v123(constB54, 0) <=> v121(constB53, 0)))),
% 218.29/140.91 inference(monotonicity,[status(thm)],[18734])).
% 218.29/140.91 tff(18736,plain,
% 218.29/140.91 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB54, 0) <=> v121(constB53, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B)))) | (v123(constB54, 0) <=> v121(constB53, 0)))),
% 218.29/140.91 inference(transitivity,[status(thm)],[18735, 18731])).
% 218.29/140.91 tff(18737,plain,
% 218.29/140.91 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB54, 0) <=> v121(constB53, 0)))),
% 218.29/140.91 inference(quant_inst,[status(thm)],[])).
% 218.29/140.91 tff(18738,plain,
% 218.29/140.91 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB54, B) <=> v121(constB53, B)))) | (v123(constB54, 0) <=> v121(constB53, 0))),
% 218.29/140.91 inference(modus_ponens,[status(thm)],[18737, 18736])).
% 218.29/140.91 tff(18739,plain,
% 218.29/140.91 (v123(constB54, 0) <=> v121(constB53, 0)),
% 218.29/140.91 inference(unit_resolution,[status(thm)],[18738, 18730])).
% 218.29/140.91 tff(18740,plain,
% 218.29/140.91 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB53) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB53) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B))))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18741,plain,
% 218.29/140.91 ((v105(constB53) | ![B: $int] : ((v121(constB53, B) <=> v124(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB53) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B))))),
% 218.29/140.91 inference(rewrite,[status(thm)],[])).
% 218.29/140.91 tff(18742,plain,
% 218.29/140.91 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB53) | ![B: $int] : ((v121(constB53, B) <=> v124(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB53) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B)))))),
% 218.29/140.91 inference(monotonicity,[status(thm)],[18741])).
% 218.29/140.91 tff(18743,plain,
% 218.29/140.91 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB53) | ![B: $int] : ((v121(constB53, B) <=> v124(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB53) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B))))),
% 218.29/140.91 inference(transitivity,[status(thm)],[18742, 18740])).
% 218.29/140.91 tff(18744,plain,
% 218.29/140.91 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB53) | ![B: $int] : ((v121(constB53, B) <=> v124(constB53, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.92 inference(quant_inst,[status(thm)],[])).
% 218.29/140.92 tff(18745,plain,
% 218.29/140.92 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB53) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B)))),
% 218.29/140.92 inference(modus_ponens,[status(thm)],[18744, 18743])).
% 218.29/140.92 tff(18746,plain,
% 218.29/140.92 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18745, 1562, 18068])).
% 218.29/140.92 tff(18747,plain,
% 218.29/140.92 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B)))) | (v121(constB53, 0) <=> v124(constB53, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B)))) | (v121(constB53, 0) <=> v124(constB53, 0)))),
% 218.29/140.92 inference(rewrite,[status(thm)],[])).
% 218.29/140.92 tff(18748,plain,
% 218.29/140.92 (($false | $false | (v121(constB53, 0) <=> v124(constB53, 0))) <=> (v121(constB53, 0) <=> v124(constB53, 0))),
% 218.29/140.92 inference(rewrite,[status(thm)],[])).
% 218.29/140.92 tff(18749,plain,
% 218.29/140.92 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB53, 0) <=> v124(constB53, 0))) <=> ($false | $false | (v121(constB53, 0) <=> v124(constB53, 0)))),
% 218.29/140.92 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.92 tff(18750,plain,
% 218.29/140.92 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB53, 0) <=> v124(constB53, 0))) <=> (v121(constB53, 0) <=> v124(constB53, 0))),
% 218.29/140.92 inference(transitivity,[status(thm)],[18749, 18748])).
% 218.29/140.92 tff(18751,plain,
% 218.29/140.92 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB53, 0) <=> v124(constB53, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B)))) | (v121(constB53, 0) <=> v124(constB53, 0)))),
% 218.29/140.92 inference(monotonicity,[status(thm)],[18750])).
% 218.29/140.92 tff(18752,plain,
% 218.29/140.92 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB53, 0) <=> v124(constB53, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B)))) | (v121(constB53, 0) <=> v124(constB53, 0)))),
% 218.29/140.92 inference(transitivity,[status(thm)],[18751, 18747])).
% 218.29/140.92 tff(18753,plain,
% 218.29/140.92 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB53, 0) <=> v124(constB53, 0)))),
% 218.29/140.92 inference(quant_inst,[status(thm)],[])).
% 218.29/140.92 tff(18754,plain,
% 218.29/140.92 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB53, B) <=> v124(constB53, B)))) | (v121(constB53, 0) <=> v124(constB53, 0))),
% 218.29/140.92 inference(modus_ponens,[status(thm)],[18753, 18752])).
% 218.29/140.92 tff(18755,plain,
% 218.29/140.92 (v121(constB53, 0) <=> v124(constB53, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18754, 18746])).
% 218.29/140.92 tff(18756,assumption,(v114(constB53)), introduced(assumption)).
% 218.29/140.92 tff(18757,plain,
% 218.29/140.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B))))),
% 218.29/140.92 inference(rewrite,[status(thm)],[])).
% 218.29/140.92 tff(18758,plain,
% 218.29/140.92 (((~v114(constB53)) | ![B: $int] : ((v124(constB53, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B))))),
% 218.29/140.92 inference(rewrite,[status(thm)],[])).
% 218.29/140.92 tff(18759,plain,
% 218.29/140.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB53)) | ![B: $int] : ((v124(constB53, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B)))))),
% 218.29/140.92 inference(monotonicity,[status(thm)],[18758])).
% 218.29/140.92 tff(18760,plain,
% 218.29/140.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB53)) | ![B: $int] : ((v124(constB53, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B))))),
% 218.29/140.92 inference(transitivity,[status(thm)],[18759, 18757])).
% 218.29/140.92 tff(18761,plain,
% 218.29/140.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB53)) | ![B: $int] : ((v124(constB53, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.92 inference(quant_inst,[status(thm)],[])).
% 218.29/140.92 tff(18762,plain,
% 218.29/140.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB53)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B)))),
% 218.29/140.92 inference(modus_ponens,[status(thm)],[18761, 18760])).
% 218.29/140.92 tff(18763,plain,
% 218.29/140.92 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18762, 2418, 18756])).
% 218.29/140.92 tff(18764,plain,
% 218.29/140.92 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B)))) | (v124(constB53, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B)))) | (v124(constB53, 0) <=> b010(0)))),
% 218.29/140.92 inference(rewrite,[status(thm)],[])).
% 218.29/140.92 tff(18765,plain,
% 218.29/140.92 (($false | $false | (v124(constB53, 0) <=> b010(0))) <=> (v124(constB53, 0) <=> b010(0))),
% 218.29/140.92 inference(rewrite,[status(thm)],[])).
% 218.29/140.92 tff(18766,plain,
% 218.29/140.92 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB53, 0) <=> b010(0))) <=> ($false | $false | (v124(constB53, 0) <=> b010(0)))),
% 218.29/140.92 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.92 tff(18767,plain,
% 218.29/140.92 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB53, 0) <=> b010(0))) <=> (v124(constB53, 0) <=> b010(0))),
% 218.29/140.92 inference(transitivity,[status(thm)],[18766, 18765])).
% 218.29/140.92 tff(18768,plain,
% 218.29/140.92 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB53, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B)))) | (v124(constB53, 0) <=> b010(0)))),
% 218.29/140.92 inference(monotonicity,[status(thm)],[18767])).
% 218.29/140.92 tff(18769,plain,
% 218.29/140.92 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB53, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B)))) | (v124(constB53, 0) <=> b010(0)))),
% 218.29/140.92 inference(transitivity,[status(thm)],[18768, 18764])).
% 218.29/140.92 tff(18770,plain,
% 218.29/140.92 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB53, 0) <=> b010(0)))),
% 218.29/140.92 inference(quant_inst,[status(thm)],[])).
% 218.29/140.92 tff(18771,plain,
% 218.29/140.92 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB53, B) <=> b010(B)))) | (v124(constB53, 0) <=> b010(0))),
% 218.29/140.92 inference(modus_ponens,[status(thm)],[18770, 18769])).
% 218.29/140.92 tff(18772,plain,
% 218.29/140.92 (v124(constB53, 0) <=> b010(0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18771, 18763])).
% 218.29/140.92 tff(18773,plain,
% 218.29/140.92 ((~(v124(constB53, 0) <=> b010(0))) | (~v124(constB53, 0)) | b010(0)),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18774,plain,
% 218.29/140.92 ((~(v124(constB53, 0) <=> b010(0))) | (~v124(constB53, 0))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18773, 2437])).
% 218.29/140.92 tff(18775,plain,
% 218.29/140.92 (~v124(constB53, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18774, 18772])).
% 218.29/140.92 tff(18776,plain,
% 218.29/140.92 ((~(v121(constB53, 0) <=> v124(constB53, 0))) | (~v121(constB53, 0)) | v124(constB53, 0)),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18777,plain,
% 218.29/140.92 ((~(v121(constB53, 0) <=> v124(constB53, 0))) | (~v121(constB53, 0))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18776, 18775])).
% 218.29/140.92 tff(18778,plain,
% 218.29/140.92 (~v121(constB53, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18777, 18755])).
% 218.29/140.92 tff(18779,plain,
% 218.29/140.92 ((v113(constB53) | v114(constB53)) | (~v114(constB53))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18780,plain,
% 218.29/140.92 (v113(constB53) | v114(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18779, 18756])).
% 218.29/140.92 tff(18781,plain,
% 218.29/140.92 ((~(v112(constB53) <=> (v113(constB53) | v114(constB53)))) | v112(constB53) | (~(v113(constB53) | v114(constB53)))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18782,plain,
% 218.29/140.92 ((~(v112(constB53) <=> (v113(constB53) | v114(constB53)))) | v112(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18781, 18780])).
% 218.29/140.92 tff(18783,plain,
% 218.29/140.92 (v112(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18782, 17739])).
% 218.29/140.92 tff(18784,plain,
% 218.29/140.92 ((v112(constB53) | v115(constB53)) | (~v112(constB53))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18785,plain,
% 218.29/140.92 (v112(constB53) | v115(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18784, 18783])).
% 218.29/140.92 tff(18786,plain,
% 218.29/140.92 ((~(v111(constB53) <=> (v112(constB53) | v115(constB53)))) | v111(constB53) | (~(v112(constB53) | v115(constB53)))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18787,plain,
% 218.29/140.92 (v111(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18786, 18785, 17737])).
% 218.29/140.92 tff(18788,plain,
% 218.29/140.92 ((v111(constB53) | v116(constB53)) | (~v111(constB53))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18789,plain,
% 218.29/140.92 (v111(constB53) | v116(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18788, 18787])).
% 218.29/140.92 tff(18790,plain,
% 218.29/140.92 (v110(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18709, 18789, 17735])).
% 218.29/140.92 tff(18791,plain,
% 218.29/140.92 (v110(constB53) | v117(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18707, 18790])).
% 218.29/140.92 tff(18792,plain,
% 218.29/140.92 (v109(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18705, 18791, 17733])).
% 218.29/140.92 tff(18793,plain,
% 218.29/140.92 (v109(constB53) | v118(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18703, 18792])).
% 218.29/140.92 tff(18794,plain,
% 218.29/140.92 (v108(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18684, 18793, 17731])).
% 218.29/140.92 tff(18795,plain,
% 218.29/140.92 (v108(constB53) | v119(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18682, 18794])).
% 218.29/140.92 tff(18796,plain,
% 218.29/140.92 (v107(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18679, 18795, 16611])).
% 218.29/140.92 tff(18797,plain,
% 218.29/140.92 (~((~v107(constB53)) | (~v120(constB53)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18677, 18796])).
% 218.29/140.92 tff(18798,plain,
% 218.29/140.92 (v106(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18669, 18797])).
% 218.29/140.92 tff(18799,plain,
% 218.29/140.92 (v105(constB53) | v106(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18666, 18798])).
% 218.29/140.92 tff(18800,plain,
% 218.29/140.92 (v102(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18664, 18799])).
% 218.29/140.92 tff(18801,plain,
% 218.29/140.92 (v104(constB54)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18661, 18800])).
% 218.29/140.92 tff(18802,plain,
% 218.29/140.92 (~((~v95(constB54)) | (~v104(constB54)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18658, 18801])).
% 218.29/140.92 tff(18803,plain,
% 218.29/140.92 (v94(constB54)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18627, 18802])).
% 218.29/140.92 tff(18804,plain,
% 218.29/140.92 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B))))),
% 218.29/140.92 inference(rewrite,[status(thm)],[])).
% 218.29/140.92 tff(18805,plain,
% 218.29/140.92 (((~v94(constB54)) | ![B: $int] : ((v84(constB54, B) <=> v123(constB54, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B))))),
% 218.29/140.92 inference(rewrite,[status(thm)],[])).
% 218.29/140.92 tff(18806,plain,
% 218.29/140.92 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB54)) | ![B: $int] : ((v84(constB54, B) <=> v123(constB54, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))))),
% 218.29/140.92 inference(monotonicity,[status(thm)],[18805])).
% 218.29/140.92 tff(18807,plain,
% 218.29/140.92 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB54)) | ![B: $int] : ((v84(constB54, B) <=> v123(constB54, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B))))),
% 218.29/140.92 inference(transitivity,[status(thm)],[18806, 18804])).
% 218.29/140.92 tff(18808,plain,
% 218.29/140.92 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB54)) | ![B: $int] : ((v84(constB54, B) <=> v123(constB54, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.29/140.92 inference(quant_inst,[status(thm)],[])).
% 218.29/140.92 tff(18809,plain,
% 218.29/140.92 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))),
% 218.29/140.92 inference(modus_ponens,[status(thm)],[18808, 18807])).
% 218.29/140.92 tff(18810,plain,
% 218.29/140.92 ((~v94(constB54)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18809, 1491])).
% 218.29/140.92 tff(18811,plain,
% 218.29/140.92 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18810, 18803])).
% 218.29/140.92 tff(18812,plain,
% 218.29/140.92 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 0) <=> v123(constB54, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 0) <=> v123(constB54, 0)))),
% 218.29/140.92 inference(rewrite,[status(thm)],[])).
% 218.29/140.92 tff(18813,plain,
% 218.29/140.92 (($false | $false | (v84(constB54, 0) <=> v123(constB54, 0))) <=> (v84(constB54, 0) <=> v123(constB54, 0))),
% 218.29/140.92 inference(rewrite,[status(thm)],[])).
% 218.29/140.92 tff(18814,plain,
% 218.29/140.92 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB54, 0) <=> v123(constB54, 0))) <=> ($false | $false | (v84(constB54, 0) <=> v123(constB54, 0)))),
% 218.29/140.92 inference(monotonicity,[status(thm)],[250, 249])).
% 218.29/140.92 tff(18815,plain,
% 218.29/140.92 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB54, 0) <=> v123(constB54, 0))) <=> (v84(constB54, 0) <=> v123(constB54, 0))),
% 218.29/140.92 inference(transitivity,[status(thm)],[18814, 18813])).
% 218.29/140.92 tff(18816,plain,
% 218.29/140.92 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB54, 0) <=> v123(constB54, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 0) <=> v123(constB54, 0)))),
% 218.29/140.92 inference(monotonicity,[status(thm)],[18815])).
% 218.29/140.92 tff(18817,plain,
% 218.29/140.92 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB54, 0) <=> v123(constB54, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 0) <=> v123(constB54, 0)))),
% 218.29/140.92 inference(transitivity,[status(thm)],[18816, 18812])).
% 218.29/140.92 tff(18818,plain,
% 218.29/140.92 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB54, 0) <=> v123(constB54, 0)))),
% 218.29/140.92 inference(quant_inst,[status(thm)],[])).
% 218.29/140.92 tff(18819,plain,
% 218.29/140.92 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 0) <=> v123(constB54, 0))),
% 218.29/140.92 inference(modus_ponens,[status(thm)],[18818, 18817])).
% 218.29/140.92 tff(18820,plain,
% 218.29/140.92 (v84(constB54, 0) <=> v123(constB54, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18819, 18811])).
% 218.29/140.92 tff(18821,plain,
% 218.29/140.92 ((~(v84(constB54, 0) <=> v123(constB54, 0))) | (~v84(constB54, 0)) | v123(constB54, 0)),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18822,plain,
% 218.29/140.92 ((~(v84(constB54, 0) <=> v123(constB54, 0))) | v123(constB54, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18821, 18717])).
% 218.29/140.92 tff(18823,plain,
% 218.29/140.92 (v123(constB54, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18822, 18820])).
% 218.29/140.92 tff(18824,plain,
% 218.29/140.92 ((~(v123(constB54, 0) <=> v121(constB53, 0))) | (~v123(constB54, 0)) | v121(constB53, 0)),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18825,plain,
% 218.29/140.92 ((~(v123(constB54, 0) <=> v121(constB53, 0))) | v121(constB53, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18824, 18823])).
% 218.29/140.92 tff(18826,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18825, 18778, 18739])).
% 218.29/140.92 tff(18827,plain,((~v114(constB53)) | (~v84(constB54, 0))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18828,plain,
% 218.29/140.92 (~v114(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18827, 18717])).
% 218.29/140.92 tff(18829,plain,
% 218.29/140.92 ((~(v114(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0)))))) | v114(constB53) | (v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0)))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18830,plain,
% 218.29/140.92 ((~(v114(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0)))))) | (v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18829, 18828])).
% 218.29/140.92 tff(18831,plain,
% 218.29/140.92 (v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18830, 17741])).
% 218.29/140.92 tff(18832,plain,
% 218.29/140.92 ((~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0)))) | v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18833,plain,
% 218.29/140.92 (v84(constB53, 1)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18832, 18720, 18831, 18723])).
% 218.29/140.92 tff(18834,plain,
% 218.29/140.92 ((~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1)))) | v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18835,plain,
% 218.29/140.92 ((~(v84(constB53, 2) | (~v84(constB53, 0)) | (~v84(constB53, 1)))) | (~v84(constB53, 0)) | (~v84(constB53, 1))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18834, 18723])).
% 218.29/140.92 tff(18836,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18835, 18833, 18720, 18715])).
% 218.29/140.92 tff(18837,plain,(v94(constB54) | (~v84(constB54, 0)) | v84(constB54, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18838,plain,
% 218.29/140.92 (~v84(constB54, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18837, 18702, 18620])).
% 218.29/140.92 tff(18839,assumption,(v84(constB53, 0)), introduced(assumption)).
% 218.29/140.92 tff(18840,plain,
% 218.29/140.92 (~(v84(constB54, 0) <=> v84(constB53, 0))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18220, 18839, 18838])).
% 218.29/140.92 tff(18841,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18218, 18621, 18840])).
% 218.29/140.92 tff(18842,plain,(v94(constB54) | (~v84(constB53, 0)) | v84(constB53, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18843,plain,
% 218.29/140.92 (~v84(constB53, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18842, 18695, 18620])).
% 218.29/140.92 tff(18844,assumption,(v84(constB53, 1)), introduced(assumption)).
% 218.29/140.92 tff(18845,plain,
% 218.29/140.92 (~v84(constB53, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18842, 18620, 18695])).
% 218.29/140.92 tff(18846,plain,
% 218.29/140.92 ((~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1)))) | v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18847,plain,
% 218.29/140.92 ((~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1)))) | v84(constB53, 0) | (~v84(constB53, 1))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18846, 18695])).
% 218.29/140.92 tff(18848,plain,
% 218.29/140.92 (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18847, 18845, 18844])).
% 218.29/140.92 tff(18849,plain,
% 218.29/140.92 ((~(v115(constB53) <=> (~(v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1)))))) | v115(constB53) | (v84(constB53, 2) | v84(constB53, 0) | (~v84(constB53, 1)))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18850,plain,
% 218.29/140.92 (v115(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18849, 18848, 17895])).
% 218.29/140.92 tff(18851,plain,
% 218.29/140.92 ((v112(constB53) | v115(constB53)) | (~v115(constB53))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18852,plain,
% 218.29/140.92 (v112(constB53) | v115(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18851, 18850])).
% 218.29/140.92 tff(18853,plain,
% 218.29/140.92 (v111(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18786, 18852, 17737])).
% 218.29/140.92 tff(18854,plain,
% 218.29/140.92 (v111(constB53) | v116(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18788, 18853])).
% 218.29/140.92 tff(18855,plain,
% 218.29/140.92 (v110(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18709, 18854, 17735])).
% 218.29/140.92 tff(18856,plain,
% 218.29/140.92 (v110(constB53) | v117(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18707, 18855])).
% 218.29/140.92 tff(18857,plain,
% 218.29/140.92 (v109(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18705, 18856, 17733])).
% 218.29/140.92 tff(18858,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18703, 18694, 18857])).
% 218.29/140.92 tff(18859,plain,(v94(constB54) | (~v84(constB53, 1)) | v84(constB53, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18860,plain,
% 218.29/140.92 (~v84(constB53, 1)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18859, 18695, 18620])).
% 218.29/140.92 tff(18861,plain,
% 218.29/140.92 ((~(v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2))) | v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2)),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18862,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18861, 18860, 18695, 18843, 18696])).
% 218.29/140.92 tff(18863,plain,(v84(constB53, 2) | (~(v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2))) | v94(constB54)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18864,plain,
% 218.29/140.92 (~(v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18863, 18620, 18695])).
% 218.29/140.92 tff(18865,plain,
% 218.29/140.92 ((~(v113(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2))))) | v113(constB53) | (v84(constB53, 0) | v84(constB53, 1) | v84(constB53, 2))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18866,plain,
% 218.29/140.92 (v113(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18865, 18864, 17878])).
% 218.29/140.92 tff(18867,plain,
% 218.29/140.92 ((v113(constB53) | v114(constB53)) | (~v113(constB53))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18868,plain,
% 218.29/140.92 (v113(constB53) | v114(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18867, 18866])).
% 218.29/140.92 tff(18869,plain,
% 218.29/140.92 (v112(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18781, 18868, 17739])).
% 218.29/140.92 tff(18870,plain,
% 218.29/140.92 (v112(constB53) | v115(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18784, 18869])).
% 218.29/140.92 tff(18871,plain,
% 218.29/140.92 (v111(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18786, 18870, 17737])).
% 218.29/140.92 tff(18872,plain,
% 218.29/140.92 (v111(constB53) | v116(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18788, 18871])).
% 218.29/140.92 tff(18873,plain,
% 218.29/140.92 (v110(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18709, 18872, 17735])).
% 218.29/140.92 tff(18874,plain,
% 218.29/140.92 (v110(constB53) | v117(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18707, 18873])).
% 218.29/140.92 tff(18875,plain,
% 218.29/140.92 (v109(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18705, 18874, 17733])).
% 218.29/140.92 tff(18876,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18703, 18875, 18694])).
% 218.29/140.92 tff(18877,plain,(v94(constB54) | v84(constB53, 2)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18878,plain,
% 218.29/140.92 (v84(constB53, 2)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18877, 18620])).
% 218.29/140.92 tff(18879,plain,
% 218.29/140.92 ((v108(constB53) | v119(constB53)) | (~v119(constB53))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18880,plain,
% 218.29/140.92 (~v119(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18879, 18681])).
% 218.29/140.92 tff(18881,plain,
% 218.29/140.92 ((~(v119(constB53) <=> (~(v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2)))))) | v119(constB53) | (v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2)))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18882,plain,
% 218.29/140.92 ((~(v119(constB53) <=> (~(v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2)))))) | (v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18881, 18880])).
% 218.29/140.92 tff(18883,plain,
% 218.29/140.92 (v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18882, 16613])).
% 218.29/140.92 tff(18884,plain,
% 218.29/140.92 (~v109(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18703, 18686])).
% 218.29/140.92 tff(18885,plain,
% 218.29/140.92 ((~(v109(constB53) <=> (v110(constB53) | v117(constB53)))) | (~(v110(constB53) | v117(constB53)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18705, 18884])).
% 218.29/140.92 tff(18886,plain,
% 218.29/140.92 (~(v110(constB53) | v117(constB53))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18885, 17733])).
% 218.29/140.92 tff(18887,plain,
% 218.29/140.92 ((v110(constB53) | v117(constB53)) | (~v117(constB53))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18888,plain,
% 218.29/140.92 (~v117(constB53)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18887, 18886])).
% 218.29/140.92 tff(18889,plain,
% 218.29/140.92 ((~(v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))))) | v117(constB53) | (v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18890,plain,
% 218.29/140.92 ((~(v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))))) | (v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18889, 18888])).
% 218.29/140.92 tff(18891,plain,
% 218.29/140.92 (v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18890, 17929])).
% 218.29/140.92 tff(18892,assumption,(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))), introduced(assumption)).
% 218.29/140.92 tff(18893,assumption,(~v84(constB53, 0)), introduced(assumption)).
% 218.29/140.92 tff(18894,assumption,(v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2))), introduced(assumption)).
% 218.29/140.92 tff(18895,assumption,(v84(constB53, 2)), introduced(assumption)).
% 218.29/140.92 tff(18896,plain,
% 218.29/140.92 ((~(v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2)))) | v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18897,plain,
% 218.29/140.92 ((~(v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2)))) | v84(constB53, 0) | (~v84(constB53, 1))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18896, 18895])).
% 218.29/140.92 tff(18898,plain,
% 218.29/140.92 (~v84(constB53, 1)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18897, 18893, 18894])).
% 218.29/140.92 tff(18899,plain,
% 218.29/140.92 ((~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))) | v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18900,plain,
% 218.29/140.92 ((~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))) | v84(constB53, 1) | v84(constB53, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18899, 18895])).
% 218.29/140.92 tff(18901,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18900, 18898, 18893, 18892])).
% 218.29/140.92 tff(18902,plain,(v84(constB53, 0) | (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))) | (~v84(constB53, 2)) | (~(v84(constB53, 0) | (~v84(constB53, 1)) | (~v84(constB53, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18903,plain,
% 218.29/140.92 (v84(constB53, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18902, 18891, 18878, 18883])).
% 218.29/140.92 tff(18904,plain,
% 218.29/140.92 ((~(v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2)))) | v84(constB53, 1) | (~v84(constB53, 0)) | (~v84(constB53, 2))),
% 218.29/140.92 inference(tautology,[status(thm)],[])).
% 218.29/140.92 tff(18905,plain,
% 218.29/140.92 (v84(constB53, 1)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18904, 18903, 18878, 18691])).
% 218.29/140.92 tff(18906,plain,
% 218.29/140.92 (v84(constB54, 1)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18113, 18905, 18625])).
% 218.29/140.92 tff(18907,assumption,(~(v84(constB55, 1) <=> v84(constB54, 1))), introduced(assumption)).
% 218.29/140.92 tff(18908,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[16608, 16600, 18907])).
% 218.29/140.92 tff(18909,plain,(v84(constB55, 1) <=> v84(constB54, 1)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18910,plain,
% 218.29/140.92 (v84(constB55, 1) | (~v84(constB54, 1))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18116, 18909])).
% 218.29/140.92 tff(18911,plain,
% 218.29/140.92 (v84(constB55, 1)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18910, 18906])).
% 218.29/140.92 tff(18912,plain,
% 218.29/140.92 (v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18119, 18911])).
% 218.29/140.92 tff(18913,plain,
% 218.29/140.92 (~v118(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[15730, 18912, 15726])).
% 218.29/140.92 tff(18914,plain,
% 218.29/140.92 (v84(constB54, 2)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18143, 18878, 18722])).
% 218.29/140.92 tff(18915,plain,
% 218.29/140.92 (v84(constB55, 2)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18157, 18914])).
% 218.29/140.92 tff(18916,plain,
% 218.29/140.92 (v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[15776, 18915])).
% 218.29/140.92 tff(18917,assumption,(~(v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))))), introduced(assumption)).
% 218.29/140.92 tff(18918,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[15433, 597, 18917])).
% 218.29/140.92 tff(18919,plain,(v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18920,plain,
% 218.29/140.92 ((~v113(constB55)) | (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[15778, 18919])).
% 218.29/140.92 tff(18921,plain,
% 218.29/140.92 (~v113(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18920, 18916])).
% 218.29/140.92 tff(18922,plain,
% 218.29/140.92 (v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[15783, 18915])).
% 218.29/140.92 tff(18923,assumption,(~(v114(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0)))))), introduced(assumption)).
% 218.29/140.92 tff(18924,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[15781, 298, 18923])).
% 218.29/140.92 tff(18925,plain,(v114(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18926,plain,
% 218.29/140.92 ((~v114(constB55)) | (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[15785, 18925])).
% 218.29/140.92 tff(18927,plain,
% 218.29/140.92 (~v114(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18926, 18922])).
% 218.29/140.92 tff(18928,plain,
% 218.29/140.92 (~(v113(constB55) | v114(constB55))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18165, 18927, 18921])).
% 218.29/140.92 tff(18929,plain,
% 218.29/140.92 ((~(v112(constB55) <=> (v113(constB55) | v114(constB55)))) | (~v112(constB55))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18167, 18928])).
% 218.29/140.92 tff(18930,plain,
% 218.29/140.92 (~v112(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18929, 15432])).
% 218.29/140.92 tff(18931,assumption,(~v115(constB55)), introduced(assumption)).
% 218.29/140.92 tff(18932,plain,
% 218.29/140.92 ((~(v112(constB55) | v115(constB55))) | v112(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18173, 18931])).
% 218.29/140.92 tff(18933,plain,
% 218.29/140.92 (~(v112(constB55) | v115(constB55))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18932, 18930])).
% 218.29/140.92 tff(18934,plain,
% 218.29/140.92 (~v111(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18176, 18933, 15430])).
% 218.29/140.92 tff(18935,plain,
% 218.29/140.92 (v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[15759, 18915])).
% 218.29/140.92 tff(18936,assumption,(~(v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))))), introduced(assumption)).
% 218.29/140.92 tff(18937,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[15597, 521, 18936])).
% 218.29/140.92 tff(18938,plain,(v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18939,plain,
% 218.29/140.92 ((~v116(constB55)) | (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[15761, 18938])).
% 218.29/140.92 tff(18940,plain,
% 218.29/140.92 (~v116(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18939, 18935])).
% 218.29/140.92 tff(18941,plain,
% 218.29/140.92 ((~(v111(constB55) | v116(constB55))) | v111(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18181, 18940])).
% 218.29/140.92 tff(18942,plain,
% 218.29/140.92 (~(v111(constB55) | v116(constB55))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18941, 18934])).
% 218.29/140.92 tff(18943,plain,
% 218.29/140.92 (~v110(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18184, 18942, 15876])).
% 218.29/140.92 tff(18944,plain,
% 218.29/140.92 (v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18123, 18911])).
% 218.29/140.92 tff(18945,plain,
% 218.29/140.92 (~v117(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18128, 18944])).
% 218.29/140.92 tff(18946,plain,
% 218.29/140.92 (~(v110(constB55) | v117(constB55))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18186, 18945, 18943])).
% 218.29/140.92 tff(18947,plain,
% 218.29/140.92 (~v109(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18192, 18946])).
% 218.29/140.92 tff(18948,plain,
% 218.29/140.92 (~(v109(constB55) | v118(constB55))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18194, 18947, 18913])).
% 218.29/140.92 tff(18949,plain,
% 218.29/140.92 (~v108(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18200, 18948])).
% 218.29/140.92 tff(18950,assumption,(~(v84(constB55, 0) <=> v84(constB54, 0))), introduced(assumption)).
% 218.29/140.92 tff(18951,plain,
% 218.29/140.92 ($false),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18209, 16600, 18950])).
% 218.29/140.92 tff(18952,plain,(v84(constB55, 0) <=> v84(constB54, 0)), inference(lemma,lemma(discharge,[]))).
% 218.29/140.92 tff(18953,plain,
% 218.29/140.92 ((~(v84(constB54, 0) <=> v84(constB53, 0))) | v84(constB54, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18220, 18903])).
% 218.29/140.92 tff(18954,plain,
% 218.29/140.92 (v84(constB54, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18953, 18716])).
% 218.29/140.92 tff(18955,plain,
% 218.29/140.92 (v84(constB55, 0)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18223, 18954, 18952])).
% 218.29/140.92 tff(18956,plain,
% 218.29/140.92 (v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18226, 18955])).
% 218.29/140.92 tff(18957,plain,
% 218.29/140.92 (~v119(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18238, 18956])).
% 218.29/140.92 tff(18958,plain,
% 218.29/140.92 (~(v108(constB55) | v119(constB55))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18240, 18957, 18949])).
% 218.29/140.92 tff(18959,plain,
% 218.29/140.92 (~v107(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18243, 18958, 15882])).
% 218.29/140.92 tff(18960,plain,
% 218.29/140.92 ((~v107(constB55)) | (~v120(constB55))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18245, 18959])).
% 218.29/140.92 tff(18961,plain,
% 218.29/140.92 (~v106(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18248, 18960])).
% 218.29/140.92 tff(18962,plain,
% 218.29/140.92 (~(v105(constB55) | v106(constB55))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18251, 18961])).
% 218.29/140.92 tff(18963,plain,
% 218.29/140.92 (~v102(constB55)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18254, 18962])).
% 218.29/140.92 tff(18964,plain,
% 218.29/140.92 (~v104(constB56)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18257, 18963])).
% 218.29/140.92 tff(18965,plain,
% 218.29/140.92 ((~v95(constB56)) | (~v104(constB56))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18259, 18964])).
% 218.29/140.92 tff(18966,plain,
% 218.29/140.92 (~v94(constB56)),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[18262, 18965])).
% 218.29/140.92 tff(18967,plain,
% 218.29/140.92 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))),
% 218.29/140.92 inference(unit_resolution,[status(thm)],[15823, 18966])).
% 218.29/140.92 tff(18968,plain,
% 218.29/140.92 (v84(constB56, 1) <=> v84(constB55, 1)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18273, 18967])).
% 218.38/140.92 tff(18969,plain,
% 218.38/140.92 (v84(constB56, 1)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15846, 18968, 18911])).
% 218.38/140.92 tff(18970,assumption,(~v94(constB56)), introduced(assumption)).
% 218.38/140.92 tff(18971,plain,
% 218.38/140.92 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15823, 18970])).
% 218.38/140.92 tff(18972,plain,
% 218.38/140.92 (v84(constB56, 0) <=> v84(constB55, 0)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15832, 18971])).
% 218.38/140.92 tff(18973,plain,
% 218.38/140.92 ((~v95(constB56)) | (~v104(constB56))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15888, 18970])).
% 218.38/140.92 tff(18974,plain,
% 218.38/140.92 (~v104(constB56)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15922, 18973])).
% 218.38/140.92 tff(18975,plain,
% 218.38/140.92 (~v102(constB55)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15929, 18974])).
% 218.38/140.92 tff(18976,plain,
% 218.38/140.92 (~(v105(constB55) | v106(constB55))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15934, 18975])).
% 218.38/140.92 tff(18977,plain,
% 218.38/140.92 (~v106(constB55)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15936, 18976])).
% 218.38/140.92 tff(18978,plain,
% 218.38/140.92 ((~v107(constB55)) | (~v120(constB55))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15941, 18977])).
% 218.38/140.92 tff(18979,plain,
% 218.38/140.92 (~v107(constB55)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15949, 18978])).
% 218.38/140.92 tff(18980,plain,
% 218.38/140.92 ((~(v107(constB55) <=> (v108(constB55) | v119(constB55)))) | (~(v108(constB55) | v119(constB55)))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15951, 18979])).
% 218.38/140.92 tff(18981,plain,
% 218.38/140.92 (~(v108(constB55) | v119(constB55))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18980, 15882])).
% 218.38/140.92 tff(18982,plain,
% 218.38/140.92 (~v108(constB55)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15954, 18981])).
% 218.38/140.92 tff(18983,plain,
% 218.38/140.92 ((~(v108(constB55) <=> (v109(constB55) | v118(constB55)))) | (~(v109(constB55) | v118(constB55)))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15956, 18982])).
% 218.38/140.92 tff(18984,plain,
% 218.38/140.92 (~(v109(constB55) | v118(constB55))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18983, 15880])).
% 218.38/140.92 tff(18985,plain,
% 218.38/140.92 (~v109(constB55)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15959, 18984])).
% 218.38/140.92 tff(18986,plain,
% 218.38/140.92 (~(v110(constB55) | v117(constB55))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15961, 18985, 18190])).
% 218.38/140.92 tff(18987,plain,
% 218.38/140.92 (~v110(constB55)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15964, 18986])).
% 218.38/140.92 tff(18988,plain,
% 218.38/140.92 ((~(v110(constB55) <=> (v111(constB55) | v116(constB55)))) | (~(v111(constB55) | v116(constB55)))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15966, 18987])).
% 218.38/140.92 tff(18989,plain,
% 218.38/140.92 (~(v111(constB55) | v116(constB55))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18988, 15876])).
% 218.38/140.92 tff(18990,plain,
% 218.38/140.92 (~v111(constB55)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15968, 18989])).
% 218.38/140.92 tff(18991,plain,
% 218.38/140.92 ((~(v111(constB55) <=> (v112(constB55) | v115(constB55)))) | (~(v112(constB55) | v115(constB55)))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15873, 18990])).
% 218.38/140.92 tff(18992,plain,
% 218.38/140.92 (~(v112(constB55) | v115(constB55))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18991, 15430])).
% 218.38/140.92 tff(18993,plain,
% 218.38/140.92 ((v112(constB55) | v115(constB55)) | (~v115(constB55))),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(18994,plain,
% 218.38/140.92 (~v115(constB55)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18993, 18992])).
% 218.38/140.92 tff(18995,plain,
% 218.38/140.92 ((~(v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))) | v115(constB55) | (v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(18996,plain,
% 218.38/140.92 ((~(v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))) | (v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18995, 18994])).
% 218.38/140.92 tff(18997,plain,
% 218.38/140.92 (v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18996, 15770])).
% 218.38/140.92 tff(18998,plain,
% 218.38/140.92 ((v110(constB55) | v117(constB55)) | (~v117(constB55))),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(18999,plain,
% 218.38/140.92 (~v117(constB55)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18998, 18986])).
% 218.38/140.92 tff(19000,plain,
% 218.38/140.92 ((~(v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))) | v117(constB55) | (v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(19001,plain,
% 218.38/140.92 ((~(v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))) | (v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19000, 18999])).
% 218.38/140.92 tff(19002,plain,
% 218.38/140.92 (v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19001, 15739])).
% 218.38/140.92 tff(19003,plain,
% 218.38/140.92 (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18234, 318])).
% 218.38/140.92 tff(19004,plain,
% 218.38/140.92 ((v108(constB55) | v119(constB55)) | (~v119(constB55))),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(19005,plain,
% 218.38/140.92 (~v119(constB55)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19004, 18981])).
% 218.38/140.92 tff(19006,plain,
% 218.38/140.92 ((~(v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1)))))) | v119(constB55) | (v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1)))),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(19007,plain,
% 218.38/140.92 ((~(v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1)))))) | (v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1)))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19006, 19005])).
% 218.38/140.92 tff(19008,plain,
% 218.38/140.92 (v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19007, 19003])).
% 218.38/140.92 tff(19009,plain,
% 218.38/140.92 (v84(constB56, 1) <=> v84(constB55, 1)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18273, 18971])).
% 218.38/140.92 tff(19010,assumption,(~v114(constB57)), introduced(assumption)).
% 218.38/140.92 tff(19011,plain,
% 218.38/140.92 ((v109(constB55) | v118(constB55)) | (~v118(constB55))),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(19012,plain,
% 218.38/140.92 (~v118(constB55)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19011, 18984])).
% 218.38/140.92 tff(19013,plain,
% 218.38/140.92 ((~(v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))))) | v118(constB55) | (v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(19014,plain,
% 218.38/140.92 ((~(v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))))) | (v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19013, 19012])).
% 218.38/140.92 tff(19015,plain,
% 218.38/140.92 (v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19014, 15726])).
% 218.38/140.92 tff(19016,plain,
% 218.38/140.92 (v84(constB56, 1) <=> v84(constB55, 1)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18273, 18271])).
% 218.38/140.92 tff(19017,plain,
% 218.38/140.92 (~v84(constB55, 1)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15846, 15521, 19016])).
% 218.38/140.92 tff(19018,assumption,(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2))), introduced(assumption)).
% 218.38/140.92 tff(19019,plain,
% 218.38/140.92 ((v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2)) | v84(constB56, 1)),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(19020,plain,
% 218.38/140.92 (v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19019, 15521])).
% 218.38/140.92 tff(19021,plain,
% 218.38/140.92 ((~v84(constB57, 1)) | v84(constB56, 1)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[18295, 15465])).
% 218.38/140.92 tff(19022,plain,
% 218.38/140.92 (~v84(constB57, 1)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19021, 15521])).
% 218.38/140.92 tff(19023,plain,
% 218.38/140.92 ((~(v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))))) | (v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15376, 19010])).
% 218.38/140.92 tff(19024,plain,
% 218.38/140.92 (v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19023, 15366])).
% 218.38/140.92 tff(19025,plain,
% 218.38/140.92 ((v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)) | v84(constB57, 1)),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(19026,plain,
% 218.38/140.92 (v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19025, 15983])).
% 218.38/140.92 tff(19027,plain,
% 218.38/140.92 (v84(constB56, 0)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15970, 15445, 19026])).
% 218.38/140.92 tff(19028,assumption,(~(v84(constB57, 2) <=> v84(constB56, 2))), introduced(assumption)).
% 218.38/140.92 tff(19029,plain,
% 218.38/140.92 ($false),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15443, 15415, 19028])).
% 218.38/140.92 tff(19030,plain,(v84(constB57, 2) <=> v84(constB56, 2)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.92 tff(19031,plain,
% 218.38/140.92 ((~v84(constB57, 2)) | v84(constB56, 2)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15446, 19030])).
% 218.38/140.92 tff(19032,plain,
% 218.38/140.92 (~v84(constB57, 2)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19031, 15445])).
% 218.38/140.92 tff(19033,plain,
% 218.38/140.92 (~(v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15997, 19032, 15977, 15983, 15982])).
% 218.38/140.92 tff(19034,plain,
% 218.38/140.92 ((v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2)) | (~v84(constB56, 0))),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(19035,plain,
% 218.38/140.92 ($false),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19034, 19033, 19027])).
% 218.38/140.92 tff(19036,plain,(v84(constB56, 2) | (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))) | v84(constB57, 1) | (~(v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.92 tff(19037,plain,
% 218.38/140.92 (v84(constB56, 2)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19036, 19024, 19022, 19020])).
% 218.38/140.92 tff(19038,assumption,(v84(constB56, 2)), introduced(assumption)).
% 218.38/140.92 tff(19039,plain,
% 218.38/140.92 ((~(v84(constB56, 2) <=> v84(constB55, 2))) | (~v84(constB56, 2)) | v84(constB55, 2)),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(19040,plain,
% 218.38/140.92 (~(v84(constB56, 2) <=> v84(constB55, 2))),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19039, 19038, 15727])).
% 218.38/140.92 tff(19041,plain,
% 218.38/140.92 ($false),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[15856, 18271, 19040])).
% 218.38/140.92 tff(19042,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | (~v84(constB56, 2)) | v84(constB55, 2)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.92 tff(19043,plain,
% 218.38/140.92 (v84(constB55, 2)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19042, 19037, 18271])).
% 218.38/140.92 tff(19044,assumption,(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))), introduced(assumption)).
% 218.38/140.92 tff(19045,plain,
% 218.38/140.92 ((~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))) | v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(19046,plain,
% 218.38/140.92 (v84(constB55, 0)),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19045, 19043, 19044, 19017])).
% 218.38/140.92 tff(19047,plain,
% 218.38/140.92 ((~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))) | v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2))),
% 218.38/140.92 inference(tautology,[status(thm)],[])).
% 218.38/140.92 tff(19048,plain,
% 218.38/140.92 ($false),
% 218.38/140.92 inference(unit_resolution,[status(thm)],[19047, 19046, 19043, 19018, 19017])).
% 218.38/140.92 tff(19049,plain,(v84(constB56, 1) | (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))) | (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | v114(constB57)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19050,plain,
% 218.38/140.93 (v84(constB56, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19049, 19015, 19002, 18971, 19010])).
% 218.38/140.93 tff(19051,plain,
% 218.38/140.93 ((~(v84(constB56, 1) <=> v84(constB55, 1))) | (~v84(constB56, 1)) | v84(constB55, 1)),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19052,plain,
% 218.38/140.93 (v84(constB55, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19051, 19050, 19009])).
% 218.38/140.93 tff(19053,plain,
% 218.38/140.93 ((v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)) | (~v84(constB55, 1))),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19054,plain,
% 218.38/140.93 (v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19053, 19052])).
% 218.38/140.93 tff(19055,assumption,(~v84(constB55, 0)), introduced(assumption)).
% 218.38/140.93 tff(19056,assumption,(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))), introduced(assumption)).
% 218.38/140.93 tff(19057,assumption,(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)), introduced(assumption)).
% 218.38/140.93 tff(19058,plain,
% 218.38/140.93 ((~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))) | v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19059,plain,
% 218.38/140.93 (~v84(constB55, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19058, 15727, 19055, 19056])).
% 218.38/140.93 tff(19060,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15861, 19059, 15727, 19055, 19057])).
% 218.38/140.93 tff(19061,plain,(v84(constB55, 2) | v84(constB55, 0) | (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))) | (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19062,plain,
% 218.38/140.93 (v84(constB55, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19061, 19055, 19057, 19056])).
% 218.38/140.93 tff(19063,assumption,(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))), introduced(assumption)).
% 218.38/140.93 tff(19064,plain,
% 218.38/140.93 ((~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1)))) | v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1))),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19065,plain,
% 218.38/140.93 (~v84(constB55, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19064, 19062, 19055, 19063])).
% 218.38/140.93 tff(19066,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19045, 19065, 19062, 19055, 19044])).
% 218.38/140.93 tff(19067,plain,(v84(constB55, 0) | (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))) | (~(v84(constB55, 0) | (~v84(constB55, 2)) | (~v84(constB55, 1)))) | (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))) | (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19068,plain,
% 218.38/140.93 (v84(constB55, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19067, 19054, 19008, 19002, 18997])).
% 218.38/140.93 tff(19069,plain,
% 218.38/140.93 ((~(v84(constB56, 0) <=> v84(constB55, 0))) | v84(constB56, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15834, 19068])).
% 218.38/140.93 tff(19070,plain,
% 218.38/140.93 (v84(constB56, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19069, 18972])).
% 218.38/140.93 tff(19071,plain,
% 218.38/140.93 (v84(constB56, 0) | (~v84(constB56, 1)) | (~v84(constB56, 2))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[18268, 19070])).
% 218.38/140.93 tff(19072,plain,
% 218.38/140.93 (v84(constB56, 0) | v84(constB56, 1) | v84(constB56, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[18276, 19050])).
% 218.38/140.93 tff(19073,plain,
% 218.38/140.93 (v84(constB57, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15467, 19050])).
% 218.38/140.93 tff(19074,plain,
% 218.38/140.93 (v84(constB57, 0) | v84(constB57, 1) | (~v84(constB57, 2))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[18279, 19073])).
% 218.38/140.93 tff(19075,plain,
% 218.38/140.93 (v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[18283, 19073])).
% 218.38/140.93 tff(19076,plain,
% 218.38/140.93 (v84(constB56, 1) | (~v84(constB56, 2)) | (~v84(constB56, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[18281, 19050])).
% 218.38/140.93 tff(19077,plain,
% 218.38/140.93 (v84(constB56, 2) <=> v84(constB55, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15856, 18971])).
% 218.38/140.93 tff(19078,plain,
% 218.38/140.93 ((v111(constB55) | v116(constB55)) | (~v116(constB55))),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19079,plain,
% 218.38/140.93 (~v116(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19078, 18989])).
% 218.38/140.93 tff(19080,plain,
% 218.38/140.93 ((~(v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))))) | v116(constB55) | (v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19081,plain,
% 218.38/140.93 ((~(v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))))) | (v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19080, 19079])).
% 218.38/140.93 tff(19082,plain,
% 218.38/140.93 (v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19081, 15598])).
% 218.38/140.93 tff(19083,plain,
% 218.38/140.93 ((~(v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1)))) | v84(constB55, 2) | (~v84(constB55, 0)) | (~v84(constB55, 1))),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19084,plain,
% 218.38/140.93 (v84(constB55, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19083, 19068, 19052, 19082])).
% 218.38/140.93 tff(19085,plain,
% 218.38/140.93 ((~(v84(constB56, 2) <=> v84(constB55, 2))) | v84(constB56, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15858, 19084])).
% 218.38/140.93 tff(19086,plain,
% 218.38/140.93 (v84(constB56, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19085, 19077])).
% 218.38/140.93 tff(19087,plain,
% 218.38/140.93 (v84(constB56, 0) | (~v84(constB56, 1)) | v84(constB56, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15978, 19086])).
% 218.38/140.93 tff(19088,plain,
% 218.38/140.93 ((~v84(constB56, 1)) | v84(constB56, 2) | (~v84(constB56, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[18291, 19086])).
% 218.38/140.93 tff(19089,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[18368, 19088, 19087, 18285, 19076, 19075, 19074, 19072, 19071])).
% 218.38/140.93 tff(19090,plain,(v94(constB56) | (~(v108(constB57) | v119(constB57))) | v114(constB57)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19091,plain,
% 218.38/140.93 (v114(constB57)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19090, 18966, 18285])).
% 218.38/140.93 tff(19092,assumption,(~(v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))))), introduced(assumption)).
% 218.38/140.93 tff(19093,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15365, 298, 19092])).
% 218.38/140.93 tff(19094,plain,(v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19095,plain,
% 218.38/140.93 ((~v114(constB57)) | (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[18310, 19094])).
% 218.38/140.93 tff(19096,plain,
% 218.38/140.93 (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19095, 19091])).
% 218.38/140.93 tff(19097,plain,
% 218.38/140.93 (~v84(constB57, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[18283, 19096])).
% 218.38/140.93 tff(19098,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15467, 19097, 18969])).
% 218.38/140.93 tff(19099,plain,(v94(constB54) | (~(v108(constB57) | v119(constB57))) | v115(constB55)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19100,plain,
% 218.38/140.93 (v115(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19099, 18620, 18285])).
% 218.38/140.93 tff(19101,assumption,(~(v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))), introduced(assumption)).
% 218.38/140.93 tff(19102,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15769, 622, 19101])).
% 218.38/140.93 tff(19103,plain,(v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19104,plain,
% 218.38/140.93 ((~v115(constB55)) | (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15773, 19103])).
% 218.38/140.93 tff(19105,plain,
% 218.38/140.93 (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19104, 19100])).
% 218.38/140.93 tff(19106,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15771, 18915, 19105])).
% 218.38/140.93 tff(19107,plain,(v94(constB54) | (~(v108(constB57) | v119(constB57)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19108,plain,
% 218.38/140.93 (v94(constB54)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19107, 16569])).
% 218.38/140.93 tff(19109,plain,
% 218.38/140.93 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[18810, 19108])).
% 218.38/140.93 tff(19110,assumption,(~(v84(constB54, 1) <=> v123(constB54, 1))), introduced(assumption)).
% 218.38/140.93 tff(19111,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))), introduced(assumption)).
% 218.38/140.93 tff(19112,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 1) <=> v123(constB54, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 1) <=> v123(constB54, 1)))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19113,plain,
% 218.38/140.93 (($false | $false | (v84(constB54, 1) <=> v123(constB54, 1))) <=> (v84(constB54, 1) <=> v123(constB54, 1))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19114,plain,
% 218.38/140.93 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB54, 1) <=> v123(constB54, 1))) <=> ($false | $false | (v84(constB54, 1) <=> v123(constB54, 1)))),
% 218.38/140.93 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.93 tff(19115,plain,
% 218.38/140.93 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB54, 1) <=> v123(constB54, 1))) <=> (v84(constB54, 1) <=> v123(constB54, 1))),
% 218.38/140.93 inference(transitivity,[status(thm)],[19114, 19113])).
% 218.38/140.93 tff(19116,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB54, 1) <=> v123(constB54, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 1) <=> v123(constB54, 1)))),
% 218.38/140.93 inference(monotonicity,[status(thm)],[19115])).
% 218.38/140.93 tff(19117,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB54, 1) <=> v123(constB54, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 1) <=> v123(constB54, 1)))),
% 218.38/140.93 inference(transitivity,[status(thm)],[19116, 19112])).
% 218.38/140.93 tff(19118,plain,
% 218.38/140.93 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB54, 1) <=> v123(constB54, 1)))),
% 218.38/140.93 inference(quant_inst,[status(thm)],[])).
% 218.38/140.93 tff(19119,plain,
% 218.38/140.93 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 1) <=> v123(constB54, 1))),
% 218.38/140.93 inference(modus_ponens,[status(thm)],[19118, 19117])).
% 218.38/140.93 tff(19120,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19119, 19111, 19110])).
% 218.38/140.93 tff(19121,plain,((v84(constB54, 1) <=> v123(constB54, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19122,plain,
% 218.38/140.93 (v84(constB54, 1) <=> v123(constB54, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19121, 19109])).
% 218.38/140.93 tff(19123,plain,
% 218.38/140.93 (v114(constB57)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19090, 18970, 18285])).
% 218.38/140.93 tff(19124,plain,
% 218.38/140.93 (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19095, 19123])).
% 218.38/140.93 tff(19125,plain,
% 218.38/140.93 ((v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))) | (~v84(constB57, 2))),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19126,plain,
% 218.38/140.93 (~v84(constB57, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19125, 19124])).
% 218.38/140.93 tff(19127,plain,
% 218.38/140.93 (v84(constB57, 2) | (~v84(constB56, 2))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15985, 19030])).
% 218.38/140.93 tff(19128,plain,
% 218.38/140.93 (~v84(constB56, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19127, 19126])).
% 218.38/140.93 tff(19129,plain,
% 218.38/140.93 ((v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))) | v84(constB57, 0)),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19130,plain,
% 218.38/140.93 (v84(constB57, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19129, 19124])).
% 218.38/140.93 tff(19131,plain,
% 218.38/140.93 (v84(constB56, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15450, 19130])).
% 218.38/140.93 tff(19132,plain,
% 218.38/140.93 (~v84(constB55, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15846, 19016, 15521])).
% 218.38/140.93 tff(19133,assumption,(v84(constB56, 0)), introduced(assumption)).
% 218.38/140.93 tff(19134,assumption,(v114(constB55)), introduced(assumption)).
% 218.38/140.93 tff(19135,plain,
% 218.38/140.93 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15723, 2418, 19134])).
% 218.38/140.93 tff(19136,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 0) <=> b010(0)))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19137,plain,
% 218.38/140.93 (($false | $false | (v124(constB55, 0) <=> b010(0))) <=> (v124(constB55, 0) <=> b010(0))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19138,plain,
% 218.38/140.93 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b010(0))) <=> ($false | $false | (v124(constB55, 0) <=> b010(0)))),
% 218.38/140.93 inference(monotonicity,[status(thm)],[250, 249])).
% 218.38/140.93 tff(19139,plain,
% 218.38/140.93 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b010(0))) <=> (v124(constB55, 0) <=> b010(0))),
% 218.38/140.93 inference(transitivity,[status(thm)],[19138, 19137])).
% 218.38/140.93 tff(19140,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 0) <=> b010(0)))),
% 218.38/140.93 inference(monotonicity,[status(thm)],[19139])).
% 218.38/140.93 tff(19141,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 0) <=> b010(0)))),
% 218.38/140.93 inference(transitivity,[status(thm)],[19140, 19136])).
% 218.38/140.93 tff(19142,plain,
% 218.38/140.93 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB55, 0) <=> b010(0)))),
% 218.38/140.93 inference(quant_inst,[status(thm)],[])).
% 218.38/140.93 tff(19143,plain,
% 218.38/140.93 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 0) <=> b010(0))),
% 218.38/140.93 inference(modus_ponens,[status(thm)],[19142, 19141])).
% 218.38/140.93 tff(19144,plain,
% 218.38/140.93 (v124(constB55, 0) <=> b010(0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19143, 19135])).
% 218.38/140.93 tff(19145,plain,
% 218.38/140.93 ((~(v124(constB55, 0) <=> b010(0))) | (~v124(constB55, 0)) | b010(0)),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19146,plain,
% 218.38/140.93 ((~(v124(constB55, 0) <=> b010(0))) | (~v124(constB55, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19145, 2437])).
% 218.38/140.93 tff(19147,plain,
% 218.38/140.93 (~v124(constB55, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19146, 19144])).
% 218.38/140.93 tff(19148,plain,
% 218.38/140.93 ((~(v121(constB55, 0) <=> v124(constB55, 0))) | (~v121(constB55, 0)) | v124(constB55, 0)),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19149,plain,
% 218.38/140.93 ((~(v121(constB55, 0) <=> v124(constB55, 0))) | (~v121(constB55, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19148, 19147])).
% 218.38/140.93 tff(19150,plain,
% 218.38/140.93 (~v121(constB55, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19149, 15541])).
% 218.38/140.93 tff(19151,plain,
% 218.38/140.93 ((v113(constB55) | v114(constB55)) | (~v114(constB55))),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19152,plain,
% 218.38/140.93 (v113(constB55) | v114(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19151, 19134])).
% 218.38/140.93 tff(19153,plain,
% 218.38/140.93 ((~(v112(constB55) <=> (v113(constB55) | v114(constB55)))) | v112(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15868, 19152])).
% 218.38/140.93 tff(19154,plain,
% 218.38/140.93 (v112(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19153, 15432])).
% 218.38/140.93 tff(19155,plain,
% 218.38/140.93 (v112(constB55) | v115(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15871, 19154])).
% 218.38/140.93 tff(19156,plain,
% 218.38/140.93 (v111(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15873, 19155, 15430])).
% 218.38/140.93 tff(19157,plain,
% 218.38/140.93 (v111(constB55) | v116(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15968, 19156])).
% 218.38/140.93 tff(19158,plain,
% 218.38/140.93 (v110(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15966, 19157, 15876])).
% 218.38/140.93 tff(19159,plain,
% 218.38/140.93 (v110(constB55) | v117(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15964, 19158])).
% 218.38/140.93 tff(19160,plain,
% 218.38/140.93 (v109(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15961, 19159, 15878])).
% 218.38/140.93 tff(19161,plain,
% 218.38/140.93 (v109(constB55) | v118(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15959, 19160])).
% 218.38/140.93 tff(19162,plain,
% 218.38/140.93 (v108(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15956, 19161, 15880])).
% 218.38/140.93 tff(19163,plain,
% 218.38/140.93 (v108(constB55) | v119(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15954, 19162])).
% 218.38/140.93 tff(19164,plain,
% 218.38/140.93 (v107(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15951, 19163, 15882])).
% 218.38/140.93 tff(19165,plain,
% 218.38/140.93 (~((~v107(constB55)) | (~v120(constB55)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15949, 19164])).
% 218.38/140.93 tff(19166,plain,
% 218.38/140.93 (v106(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15941, 19165])).
% 218.38/140.93 tff(19167,plain,
% 218.38/140.93 (v105(constB55) | v106(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15936, 19166])).
% 218.38/140.93 tff(19168,plain,
% 218.38/140.93 (v102(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15934, 19167])).
% 218.38/140.93 tff(19169,plain,
% 218.38/140.93 (v104(constB56)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15929, 19168])).
% 218.38/140.93 tff(19170,plain,
% 218.38/140.93 (~((~v95(constB56)) | (~v104(constB56)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15922, 19169])).
% 218.38/140.93 tff(19171,plain,
% 218.38/140.93 (v94(constB56)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15888, 19170])).
% 218.38/140.93 tff(19172,plain,
% 218.38/140.93 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15815, 19171])).
% 218.38/140.93 tff(19173,plain,
% 218.38/140.93 (v84(constB56, 0) <=> v123(constB56, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15558, 19172])).
% 218.38/140.93 tff(19174,plain,
% 218.38/140.93 ((~(v84(constB56, 0) <=> v123(constB56, 0))) | (~v84(constB56, 0)) | v123(constB56, 0)),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19175,plain,
% 218.38/140.93 ((~(v84(constB56, 0) <=> v123(constB56, 0))) | v123(constB56, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19174, 19133])).
% 218.38/140.93 tff(19176,plain,
% 218.38/140.93 (v123(constB56, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19175, 19173])).
% 218.38/140.93 tff(19177,plain,
% 218.38/140.93 ((~(v123(constB56, 0) <=> v121(constB55, 0))) | (~v123(constB56, 0)) | v121(constB55, 0)),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19178,plain,
% 218.38/140.93 ((~(v123(constB56, 0) <=> v121(constB55, 0))) | v121(constB55, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19177, 19176])).
% 218.38/140.93 tff(19179,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19178, 19150, 15550])).
% 218.38/140.93 tff(19180,plain,((~v114(constB55)) | (~v84(constB56, 0))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19181,plain,
% 218.38/140.93 (~v114(constB55)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19180, 19133])).
% 218.38/140.93 tff(19182,plain,
% 218.38/140.93 ((~(v114(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0)))))) | v114(constB55) | (v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0)))),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19183,plain,
% 218.38/140.93 (v114(constB55) | (v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19182, 18925])).
% 218.38/140.93 tff(19184,plain,
% 218.38/140.93 (v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19183, 19181])).
% 218.38/140.93 tff(19185,plain,
% 218.38/140.93 (v84(constB56, 0) <=> v84(constB55, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15832, 18271])).
% 218.38/140.93 tff(19186,plain,
% 218.38/140.93 ((~(v84(constB56, 0) <=> v84(constB55, 0))) | (~v84(constB56, 0)) | v84(constB55, 0)),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19187,plain,
% 218.38/140.93 ((~(v84(constB56, 0) <=> v84(constB55, 0))) | v84(constB55, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19186, 19133])).
% 218.38/140.93 tff(19188,plain,
% 218.38/140.93 (v84(constB55, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19187, 19185])).
% 218.38/140.93 tff(19189,plain,
% 218.38/140.93 (v84(constB56, 2) <=> v84(constB55, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15856, 18271])).
% 218.38/140.93 tff(19190,plain,
% 218.38/140.93 (~v84(constB55, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15859, 19189])).
% 218.38/140.93 tff(19191,plain,
% 218.38/140.93 ((~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0)))) | v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19192,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19191, 19190, 19188, 19184, 19132])).
% 218.38/140.93 tff(19193,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v84(constB55, B)))) | v84(constB56, 2) | (~v84(constB56, 0)) | v84(constB56, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19194,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19193, 19131, 19128, 15521, 18971])).
% 218.38/140.93 tff(19195,plain,(v94(constB56) | v84(constB56, 1) | (~(v108(constB57) | v119(constB57)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19196,plain,
% 218.38/140.93 (v84(constB56, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19195, 18970, 18285])).
% 218.38/140.93 tff(19197,plain,
% 218.38/140.93 (v84(constB57, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15467, 19196])).
% 218.38/140.93 tff(19198,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[18283, 19197, 19124])).
% 218.38/140.93 tff(19199,plain,(v94(constB56) | (~(v108(constB57) | v119(constB57)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19200,plain,
% 218.38/140.93 (v94(constB56)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19199, 16569])).
% 218.38/140.93 tff(19201,plain,
% 218.38/140.93 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15815, 19200])).
% 218.38/140.93 tff(19202,assumption,(~(v84(constB56, 2) <=> v123(constB56, 2))), introduced(assumption)).
% 218.38/140.93 tff(19203,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15653, 15511, 19202])).
% 218.38/140.93 tff(19204,plain,((v84(constB56, 2) <=> v123(constB56, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB56, B) <=> v123(constB56, B))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19205,plain,
% 218.38/140.93 (v84(constB56, 2) <=> v123(constB56, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19204, 19201])).
% 218.38/140.93 tff(19206,plain,
% 218.38/140.93 (v107(constB57)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[16153, 16569])).
% 218.38/140.93 tff(19207,plain,
% 218.38/140.93 (~((~v107(constB57)) | (~v120(constB57)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[16161, 19206])).
% 218.38/140.93 tff(19208,plain,
% 218.38/140.93 (v106(constB57)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[16164, 19207])).
% 218.38/140.93 tff(19209,plain,
% 218.38/140.93 (v105(constB57) | v106(constB57)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[16166, 19208])).
% 218.38/140.93 tff(19210,plain,
% 218.38/140.93 (v102(constB57)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[16169, 19209])).
% 218.38/140.93 tff(19211,plain,
% 218.38/140.93 (v104(constB58)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[16172, 19210])).
% 218.38/140.93 tff(19212,plain,
% 218.38/140.93 (~((~v95(constB58)) | (~v104(constB58)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[16203, 19211])).
% 218.38/140.93 tff(19213,plain,
% 218.38/140.93 (v94(constB58)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[16206, 19212])).
% 218.38/140.93 tff(19214,plain,
% 218.38/140.93 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[16214, 19213])).
% 218.38/140.93 tff(19215,assumption,(~(v84(constB58, 1) <=> v123(constB58, 1))), introduced(assumption)).
% 218.38/140.93 tff(19216,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))), introduced(assumption)).
% 218.38/140.93 tff(19217,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 1) <=> v123(constB58, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 1) <=> v123(constB58, 1)))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19218,plain,
% 218.38/140.93 (($false | $false | (v84(constB58, 1) <=> v123(constB58, 1))) <=> (v84(constB58, 1) <=> v123(constB58, 1))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19219,plain,
% 218.38/140.93 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB58, 1) <=> v123(constB58, 1))) <=> ($false | $false | (v84(constB58, 1) <=> v123(constB58, 1)))),
% 218.38/140.93 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.93 tff(19220,plain,
% 218.38/140.93 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB58, 1) <=> v123(constB58, 1))) <=> (v84(constB58, 1) <=> v123(constB58, 1))),
% 218.38/140.93 inference(transitivity,[status(thm)],[19219, 19218])).
% 218.38/140.93 tff(19221,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB58, 1) <=> v123(constB58, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 1) <=> v123(constB58, 1)))),
% 218.38/140.93 inference(monotonicity,[status(thm)],[19220])).
% 218.38/140.93 tff(19222,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB58, 1) <=> v123(constB58, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 1) <=> v123(constB58, 1)))),
% 218.38/140.93 inference(transitivity,[status(thm)],[19221, 19217])).
% 218.38/140.93 tff(19223,plain,
% 218.38/140.93 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB58, 1) <=> v123(constB58, 1)))),
% 218.38/140.93 inference(quant_inst,[status(thm)],[])).
% 218.38/140.93 tff(19224,plain,
% 218.38/140.93 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 1) <=> v123(constB58, 1))),
% 218.38/140.93 inference(modus_ponens,[status(thm)],[19223, 19222])).
% 218.38/140.93 tff(19225,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19224, 19216, 19215])).
% 218.38/140.93 tff(19226,plain,((v84(constB58, 1) <=> v123(constB58, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19227,plain,
% 218.38/140.93 (v84(constB58, 1) <=> v123(constB58, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19226, 19214])).
% 218.38/140.93 tff(19228,plain,
% 218.38/140.93 (v102(constB59)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7375, 15278])).
% 218.38/140.93 tff(19229,plain,
% 218.38/140.93 (v104(constB60)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7378, 19228])).
% 218.38/140.93 tff(19230,plain,
% 218.38/140.93 (~((~v95(constB60)) | (~v104(constB60)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7412, 19229])).
% 218.38/140.93 tff(19231,plain,
% 218.38/140.93 (v94(constB60)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7415, 19230])).
% 218.38/140.93 tff(19232,plain,
% 218.38/140.93 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7423, 19231])).
% 218.38/140.93 tff(19233,plain,
% 218.38/140.93 (v84(constB60, 1) <=> v123(constB60, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7436, 19232])).
% 218.38/140.93 tff(19234,plain,
% 218.38/140.93 (v107(constB61)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[8068, 19232])).
% 218.38/140.93 tff(19235,plain,
% 218.38/140.93 (~((~v107(constB61)) | (~v120(constB61)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[8076, 19234])).
% 218.38/140.93 tff(19236,plain,
% 218.38/140.93 (v106(constB61)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[8079, 19235])).
% 218.38/140.93 tff(19237,plain,
% 218.38/140.93 (v105(constB61) | v106(constB61)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[8081, 19236])).
% 218.38/140.93 tff(19238,plain,
% 218.38/140.93 (v102(constB61)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[8084, 19237])).
% 218.38/140.93 tff(19239,plain,
% 218.38/140.93 (v104(constB62)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[8087, 19238])).
% 218.38/140.93 tff(19240,plain,
% 218.38/140.93 (~((~v95(constB62)) | (~v104(constB62)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[8118, 19239])).
% 218.38/140.93 tff(19241,plain,
% 218.38/140.93 (v94(constB62)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[8121, 19240])).
% 218.38/140.93 tff(19242,plain,
% 218.38/140.93 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[8129, 19241])).
% 218.38/140.93 tff(19243,assumption,(~(v84(constB62, 1) <=> v123(constB62, 1))), introduced(assumption)).
% 218.38/140.93 tff(19244,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 1) <=> v123(constB62, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 1) <=> v123(constB62, 1)))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19245,plain,
% 218.38/140.93 (($false | $false | (v84(constB62, 1) <=> v123(constB62, 1))) <=> (v84(constB62, 1) <=> v123(constB62, 1))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19246,plain,
% 218.38/140.93 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB62, 1) <=> v123(constB62, 1))) <=> ($false | $false | (v84(constB62, 1) <=> v123(constB62, 1)))),
% 218.38/140.93 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.93 tff(19247,plain,
% 218.38/140.93 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB62, 1) <=> v123(constB62, 1))) <=> (v84(constB62, 1) <=> v123(constB62, 1))),
% 218.38/140.93 inference(transitivity,[status(thm)],[19246, 19245])).
% 218.38/140.93 tff(19248,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB62, 1) <=> v123(constB62, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 1) <=> v123(constB62, 1)))),
% 218.38/140.93 inference(monotonicity,[status(thm)],[19247])).
% 218.38/140.93 tff(19249,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB62, 1) <=> v123(constB62, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 1) <=> v123(constB62, 1)))),
% 218.38/140.93 inference(transitivity,[status(thm)],[19248, 19244])).
% 218.38/140.93 tff(19250,plain,
% 218.38/140.93 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB62, 1) <=> v123(constB62, 1)))),
% 218.38/140.93 inference(quant_inst,[status(thm)],[])).
% 218.38/140.93 tff(19251,plain,
% 218.38/140.93 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 1) <=> v123(constB62, 1))),
% 218.38/140.93 inference(modus_ponens,[status(thm)],[19250, 19249])).
% 218.38/140.93 tff(19252,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19251, 8132, 19243])).
% 218.38/140.93 tff(19253,plain,((v84(constB62, 1) <=> v123(constB62, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19254,plain,
% 218.38/140.93 (v84(constB62, 1) <=> v123(constB62, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19253, 19242])).
% 218.38/140.93 tff(19255,plain,
% 218.38/140.93 (v108(constB66) | v119(constB66)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[13704, 7341])).
% 218.38/140.93 tff(19256,plain,
% 218.38/140.93 (v102(constB63)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[14001, 19255])).
% 218.38/140.93 tff(19257,plain,
% 218.38/140.93 (v104(constB64)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12831, 19256])).
% 218.38/140.93 tff(19258,plain,
% 218.38/140.93 (~((~v95(constB64)) | (~v104(constB64)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12828, 19257])).
% 218.38/140.93 tff(19259,plain,
% 218.38/140.93 (v94(constB64)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12797, 19258])).
% 218.38/140.93 tff(19260,plain,
% 218.38/140.93 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12770, 19259])).
% 218.38/140.93 tff(19261,plain,
% 218.38/140.93 (v107(constB65)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12208, 7341])).
% 218.38/140.93 tff(19262,plain,
% 218.38/140.93 (~((~v107(constB65)) | (~v120(constB65)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12216, 19261])).
% 218.38/140.93 tff(19263,plain,
% 218.38/140.93 (v106(constB65)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12219, 19262])).
% 218.38/140.93 tff(19264,plain,
% 218.38/140.93 (v105(constB65) | v106(constB65)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12221, 19263])).
% 218.38/140.93 tff(19265,plain,
% 218.38/140.93 (v102(constB65)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12224, 19264])).
% 218.38/140.93 tff(19266,plain,
% 218.38/140.93 (v104(constB66)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12227, 19265])).
% 218.38/140.93 tff(19267,plain,
% 218.38/140.93 (~((~v95(constB66)) | (~v104(constB66)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12258, 19266])).
% 218.38/140.93 tff(19268,plain,
% 218.38/140.93 (v94(constB66)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12261, 19267])).
% 218.38/140.93 tff(19269,plain,
% 218.38/140.93 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12269, 19268])).
% 218.38/140.93 tff(19270,plain,
% 218.38/140.93 (v84(constB66, 2) <=> v123(constB66, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[13500, 19269])).
% 218.38/140.93 tff(19271,plain,
% 218.38/140.93 (v84(constB67, 1) | (~v84(constB67, 0)) | (~v84(constB67, 2))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[14762, 12974])).
% 218.38/140.93 tff(19272,assumption,(~v114(constB67)), introduced(assumption)).
% 218.38/140.93 tff(19273,plain,
% 218.38/140.93 (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[14771, 19272])).
% 218.38/140.93 tff(19274,plain,
% 218.38/140.93 (~v116(constB63)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15271, 19273, 19271, 19270, 19260])).
% 218.38/140.93 tff(19275,assumption,(~v114(constB65)), introduced(assumption)).
% 218.38/140.93 tff(19276,plain,
% 218.38/140.93 (v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[14102, 19275])).
% 218.38/140.93 tff(19277,plain,
% 218.38/140.93 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[14159, 19276, 19260])).
% 218.38/140.93 tff(19278,plain,
% 218.38/140.93 (~v113(constB63)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12707, 19277])).
% 218.38/140.93 tff(19279,plain,
% 218.38/140.93 (~(v113(constB63) | v114(constB63))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6831, 19278, 14937])).
% 218.38/140.93 tff(19280,plain,
% 218.38/140.93 (~v112(constB63)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[14166, 19279])).
% 218.38/140.93 tff(19281,plain,
% 218.38/140.93 (v84(constB67, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[5437, 13128, 19273, 19271, 5424])).
% 218.38/140.93 tff(19282,plain,
% 218.38/140.93 (v84(constB66, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15268, 19281])).
% 218.38/140.93 tff(19283,plain,
% 218.38/140.93 (v84(constB63, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15266, 19282, 19260, 13346])).
% 218.38/140.93 tff(19284,plain,
% 218.38/140.93 (v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6867, 19283])).
% 218.38/140.93 tff(19285,plain,
% 218.38/140.93 ((~v115(constB63)) | (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1))))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6869, 15063])).
% 218.38/140.93 tff(19286,plain,
% 218.38/140.93 (~v115(constB63)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19285, 19284])).
% 218.38/140.93 tff(19287,plain,
% 218.38/140.93 (~(v112(constB63) | v115(constB63))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6872, 19286, 19280])).
% 218.38/140.93 tff(19288,plain,
% 218.38/140.93 ((~v111(constB63)) | (v112(constB63) | v115(constB63))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6875, 15069])).
% 218.38/140.93 tff(19289,plain,
% 218.38/140.93 (~v111(constB63)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19288, 19287])).
% 218.38/140.93 tff(19290,plain,
% 218.38/140.93 (~(v111(constB63) | v116(constB63))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6889, 19289, 19274])).
% 218.38/140.93 tff(19291,plain,
% 218.38/140.93 ((~v110(constB63)) | (v111(constB63) | v116(constB63))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6892, 15075])).
% 218.38/140.93 tff(19292,plain,
% 218.38/140.93 (~v110(constB63)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19291, 19290])).
% 218.38/140.93 tff(19293,plain,
% 218.38/140.93 (v105(constB63) | v106(constB63)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6984, 19256])).
% 218.38/140.93 tff(19294,plain,
% 218.38/140.93 (v106(constB63)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6979, 19293])).
% 218.38/140.93 tff(19295,plain,
% 218.38/140.93 (~((~v107(constB63)) | (~v120(constB63)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6969, 19294])).
% 218.38/140.93 tff(19296,plain,
% 218.38/140.93 (v107(constB63)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6964, 19295])).
% 218.38/140.93 tff(19297,plain,
% 218.38/140.93 ((~v107(constB63)) | (v108(constB63) | v119(constB63))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[6962, 13375])).
% 218.38/140.93 tff(19298,plain,
% 218.38/140.93 (v108(constB63) | v119(constB63)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19297, 19296])).
% 218.38/140.93 tff(19299,plain,
% 218.38/140.93 (v84(constB64, 1) <=> v123(constB64, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[14878, 19260])).
% 218.38/140.93 tff(19300,plain,
% 218.38/140.93 (v84(constB66, 1) <=> v123(constB66, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[14018, 19269])).
% 218.38/140.93 tff(19301,plain,
% 218.38/140.93 (~v124(constB65, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15247, 12878])).
% 218.38/140.93 tff(19302,plain,
% 218.38/140.93 (~v121(constB65, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[13514, 19301])).
% 218.38/140.93 tff(19303,plain,
% 218.38/140.93 (~v123(constB66, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[13508, 19302])).
% 218.38/140.93 tff(19304,plain,
% 218.38/140.93 (~v84(constB66, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[13502, 19303, 14044])).
% 218.38/140.93 tff(19305,plain,
% 218.38/140.93 (~v84(constB67, 2)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[13344, 19304])).
% 218.38/140.93 tff(19306,plain,
% 218.38/140.93 ((~(v124(constB65, 1) <=> b001(1))) | (~v124(constB65, 1)) | b001(1)),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19307,plain,
% 218.38/140.93 (~(v124(constB65, 1) <=> b001(1))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19306, 1885, 15151])).
% 218.38/140.93 tff(19308,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 1) <=> b001(1)))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19309,plain,
% 218.38/140.93 (($false | $false | (v124(constB65, 1) <=> b001(1))) <=> (v124(constB65, 1) <=> b001(1))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19310,plain,
% 218.38/140.93 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b001(1))) <=> ($false | $false | (v124(constB65, 1) <=> b001(1)))),
% 218.38/140.93 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.93 tff(19311,plain,
% 218.38/140.93 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b001(1))) <=> (v124(constB65, 1) <=> b001(1))),
% 218.38/140.93 inference(transitivity,[status(thm)],[19310, 19309])).
% 218.38/140.93 tff(19312,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 1) <=> b001(1)))),
% 218.38/140.93 inference(monotonicity,[status(thm)],[19311])).
% 218.38/140.93 tff(19313,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 1) <=> b001(1)))),
% 218.38/140.93 inference(transitivity,[status(thm)],[19312, 19308])).
% 218.38/140.93 tff(19314,plain,
% 218.38/140.93 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB65, 1) <=> b001(1)))),
% 218.38/140.93 inference(quant_inst,[status(thm)],[])).
% 218.38/140.93 tff(19315,plain,
% 218.38/140.93 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (v124(constB65, 1) <=> b001(1))),
% 218.38/140.93 inference(modus_ponens,[status(thm)],[19314, 19313])).
% 218.38/140.93 tff(19316,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19315, 12878, 19307])).
% 218.38/140.93 tff(19317,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (~v124(constB65, 1))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19318,plain,
% 218.38/140.93 (~v124(constB65, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19317, 12878])).
% 218.38/140.93 tff(19319,plain,
% 218.38/140.93 (~v121(constB65, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15146, 19318])).
% 218.38/140.93 tff(19320,plain,
% 218.38/140.93 (~v123(constB66, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15143, 19319])).
% 218.38/140.93 tff(19321,plain,
% 218.38/140.93 (~v84(constB66, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15140, 19320, 14026])).
% 218.38/140.93 tff(19322,plain,
% 218.38/140.93 (~v84(constB67, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15268, 19321])).
% 218.38/140.93 tff(19323,plain,
% 218.38/140.93 (v84(constB67, 1) | v84(constB67, 0) | (~v84(constB67, 2))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[11956, 19305])).
% 218.38/140.93 tff(19324,plain,
% 218.38/140.93 (v84(constB67, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12921, 19322, 19323])).
% 218.38/140.93 tff(19325,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[5435, 19324, 19322, 5421, 19305])).
% 218.38/140.93 tff(19326,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))) | (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))) | (~(v84(constB66, 1) <=> v123(constB66, 1))) | (~(v84(constB66, 2) <=> v123(constB66, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19327,plain,
% 218.38/140.93 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19326, 19273, 19270, 19300])).
% 218.38/140.93 tff(19328,plain,
% 218.38/140.93 (v123(constB66, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15140, 19282, 19300])).
% 218.38/140.93 tff(19329,plain,
% 218.38/140.93 (v121(constB65, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15143, 19328])).
% 218.38/140.93 tff(19330,plain,
% 218.38/140.93 (v124(constB65, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15146, 19329])).
% 218.38/140.93 tff(19331,plain,
% 218.38/140.93 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b100(B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15164, 19330])).
% 218.38/140.93 tff(19332,plain,
% 218.38/140.93 (~v116(constB65)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[15169, 19331])).
% 218.38/140.93 tff(19333,plain,
% 218.38/140.93 (v84(constB66, 0) <=> v123(constB66, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[14023, 19269])).
% 218.38/140.93 tff(19334,plain,
% 218.38/140.93 ((~(v113(constB67) <=> (~(v84(constB67, 0) | v84(constB67, 1) | v84(constB67, 2))))) | (~v113(constB67))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7291, 5424])).
% 218.38/140.93 tff(19335,plain,
% 218.38/140.93 (~v113(constB67)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19334, 5380])).
% 218.38/140.93 tff(19336,plain,
% 218.38/140.93 (~(v113(constB67) | v114(constB67))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7294, 19335, 19272])).
% 218.38/140.93 tff(19337,plain,
% 218.38/140.93 ((~(v112(constB67) <=> (v113(constB67) | v114(constB67)))) | (~v112(constB67))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7296, 19336])).
% 218.38/140.93 tff(19338,plain,
% 218.38/140.93 (~v112(constB67)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19337, 5382])).
% 218.38/140.93 tff(19339,plain,
% 218.38/140.93 ((~(v115(constB67) <=> (~(v84(constB67, 2) | v84(constB67, 0) | (~v84(constB67, 1)))))) | (~v115(constB67))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7325, 5463])).
% 218.38/140.93 tff(19340,plain,
% 218.38/140.93 (~v115(constB67)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19339, 5457])).
% 218.38/140.93 tff(19341,plain,
% 218.38/140.93 ((~(v112(constB67) | v115(constB67))) | v112(constB67)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7328, 19340])).
% 218.38/140.93 tff(19342,plain,
% 218.38/140.93 (~(v112(constB67) | v115(constB67))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19341, 19338])).
% 218.38/140.93 tff(19343,plain,
% 218.38/140.93 (~v111(constB67)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7331, 19342, 5384])).
% 218.38/140.93 tff(19344,plain,
% 218.38/140.93 ((~(v116(constB67) <=> (~(v84(constB67, 2) | (~v84(constB67, 0)) | (~v84(constB67, 1)))))) | (~v116(constB67))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7335, 5466])).
% 218.38/140.93 tff(19345,plain,
% 218.38/140.93 (~v116(constB67)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19344, 5445])).
% 218.38/140.93 tff(19346,plain,
% 218.38/140.93 ((~(v111(constB67) | v116(constB67))) | v111(constB67)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7338, 19345])).
% 218.38/140.93 tff(19347,plain,
% 218.38/140.93 (~(v111(constB67) | v116(constB67))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19346, 19343])).
% 218.38/140.93 tff(19348,plain,
% 218.38/140.93 (~v110(constB67)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7370, 19347, 5386])).
% 218.38/140.93 tff(19349,plain,
% 218.38/140.93 (~(v110(constB67) | v117(constB67))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7367, 19348, 12941])).
% 218.38/140.93 tff(19350,plain,
% 218.38/140.93 ((~v109(constB67)) | (v110(constB67) | v117(constB67))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7360, 14792])).
% 218.38/140.93 tff(19351,plain,
% 218.38/140.93 (~v109(constB67)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19350, 19349])).
% 218.38/140.93 tff(19352,plain,
% 218.38/140.93 (~(v109(constB67) | v118(constB67))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7357, 19351, 12974])).
% 218.38/140.93 tff(19353,plain,
% 218.38/140.93 ((~v108(constB67)) | (v109(constB67) | v118(constB67))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7349, 14171])).
% 218.38/140.93 tff(19354,plain,
% 218.38/140.93 (~v108(constB67)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19353, 19352])).
% 218.38/140.93 tff(19355,plain,
% 218.38/140.93 (v119(constB67)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7347, 19354, 7341])).
% 218.38/140.93 tff(19356,plain,
% 218.38/140.93 (~(v84(constB67, 0) | (~v84(constB67, 1)) | (~v84(constB67, 2)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7344, 19355, 5306])).
% 218.38/140.93 tff(19357,plain,
% 218.38/140.93 (~v84(constB67, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7342, 19356])).
% 218.38/140.93 tff(19358,plain,
% 218.38/140.93 ((~(v84(constB67, 0) <=> v84(constB66, 0))) | (~v84(constB66, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7286, 19357])).
% 218.38/140.93 tff(19359,plain,
% 218.38/140.93 (~v84(constB66, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19358, 7273])).
% 218.38/140.93 tff(19360,plain,
% 218.38/140.93 (~v123(constB66, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12406, 19359, 19333])).
% 218.38/140.93 tff(19361,plain,
% 218.38/140.93 (v123(constB66, 0) | (~v121(constB65, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12409, 14088])).
% 218.38/140.93 tff(19362,plain,
% 218.38/140.93 (~v121(constB65, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19361, 19360])).
% 218.38/140.93 tff(19363,plain,
% 218.38/140.93 (v121(constB65, 0) | (~v124(constB65, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12412, 14082])).
% 218.38/140.93 tff(19364,plain,
% 218.38/140.93 (~v124(constB65, 0)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19363, 19362])).
% 218.38/140.93 tff(19365,plain,
% 218.38/140.93 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b011(B)))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12428, 19364])).
% 218.38/140.93 tff(19366,plain,
% 218.38/140.93 (~v115(constB65)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12439, 19365])).
% 218.38/140.93 tff(19367,assumption,(v84(constB65, 1)), introduced(assumption)).
% 218.38/140.93 tff(19368,plain,
% 218.38/140.93 (v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7140, 19367])).
% 218.38/140.93 tff(19369,plain,
% 218.38/140.93 ((~v117(constB65)) | (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7159, 14826])).
% 218.38/140.93 tff(19370,plain,
% 218.38/140.93 (~v117(constB65)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19369, 19368])).
% 218.38/140.93 tff(19371,plain,
% 218.38/140.93 (v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7174, 19367])).
% 218.38/140.93 tff(19372,plain,
% 218.38/140.93 (~v118(constB65)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7176, 19371, 7173])).
% 218.38/140.93 tff(19373,assumption,(~v116(constB65)), introduced(assumption)).
% 218.38/140.93 tff(19374,plain,
% 218.38/140.93 (v118(constB65) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))) | v117(constB65)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12899, 1807, 12875, 14821, 19275, 19373])).
% 218.38/140.93 tff(19375,plain,
% 218.38/140.93 ($false),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19374, 19372, 19370, 14822])).
% 218.38/140.93 tff(19376,plain,((~v84(constB65, 1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB65, B) <=> b001(B))) | v115(constB65) | v114(constB65) | v116(constB65)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.93 tff(19377,plain,
% 218.38/140.93 (~v84(constB65, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19376, 19366, 19332, 19327, 19275])).
% 218.38/140.93 tff(19378,plain,
% 218.38/140.93 (v84(constB65, 1) | (~v84(constB64, 1))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[7025, 14148])).
% 218.38/140.93 tff(19379,plain,
% 218.38/140.93 (~v84(constB64, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19378, 19377])).
% 218.38/140.93 tff(19380,plain,
% 218.38/140.93 (~v123(constB64, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[12561, 19379, 19299])).
% 218.38/140.93 tff(19381,plain,
% 218.38/140.93 (~v121(constB63, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[13397, 19380])).
% 218.38/140.93 tff(19382,plain,
% 218.38/140.93 (~v124(constB63, 1)),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[13392, 19381])).
% 218.38/140.93 tff(19383,plain,
% 218.38/140.93 ((~(v124(constB63, 1) <=> b110(1))) | v124(constB63, 1) | (~b110(1))),
% 218.38/140.93 inference(tautology,[status(thm)],[])).
% 218.38/140.93 tff(19384,plain,
% 218.38/140.93 (~(v124(constB63, 1) <=> b110(1))),
% 218.38/140.93 inference(unit_resolution,[status(thm)],[19383, 1662, 12570])).
% 218.38/140.93 tff(19385,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))), introduced(assumption)).
% 218.38/140.93 tff(19386,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | (v124(constB63, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | (v124(constB63, 1) <=> b110(1)))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19387,plain,
% 218.38/140.93 (($false | $false | (v124(constB63, 1) <=> b110(1))) <=> (v124(constB63, 1) <=> b110(1))),
% 218.38/140.93 inference(rewrite,[status(thm)],[])).
% 218.38/140.93 tff(19388,plain,
% 218.38/140.93 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b110(1))) <=> ($false | $false | (v124(constB63, 1) <=> b110(1)))),
% 218.38/140.93 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.93 tff(19389,plain,
% 218.38/140.93 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b110(1))) <=> (v124(constB63, 1) <=> b110(1))),
% 218.38/140.93 inference(transitivity,[status(thm)],[19388, 19387])).
% 218.38/140.93 tff(19390,plain,
% 218.38/140.93 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | (v124(constB63, 1) <=> b110(1)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19389])).
% 218.38/140.94 tff(19391,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | (v124(constB63, 1) <=> b110(1)))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19390, 19386])).
% 218.38/140.94 tff(19392,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB63, 1) <=> b110(1)))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19393,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | (v124(constB63, 1) <=> b110(1))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19392, 19391])).
% 218.38/140.94 tff(19394,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19393, 19385, 19384])).
% 218.38/140.94 tff(19395,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))) | v124(constB63, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19396,plain,
% 218.38/140.94 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19395, 19382])).
% 218.38/140.94 tff(19397,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))), introduced(assumption)).
% 218.38/140.94 tff(19398,assumption,(v118(constB63)), introduced(assumption)).
% 218.38/140.94 tff(19399,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[12751, 1977, 19398, 19397])).
% 218.38/140.94 tff(19400,plain,((~v118(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19401,plain,
% 218.38/140.94 (~v118(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19400, 19396])).
% 218.38/140.94 tff(19402,assumption,(v108(constB63) | v119(constB63)), introduced(assumption)).
% 218.38/140.94 tff(19403,assumption,(~v118(constB63)), introduced(assumption)).
% 218.38/140.94 tff(19404,assumption,(~v109(constB63)), introduced(assumption)).
% 218.38/140.94 tff(19405,plain,
% 218.38/140.94 (~(v109(constB63) | v118(constB63))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6918, 19404, 19403])).
% 218.38/140.94 tff(19406,plain,
% 218.38/140.94 ((~v108(constB63)) | (v109(constB63) | v118(constB63))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6921, 13369])).
% 218.38/140.94 tff(19407,plain,
% 218.38/140.94 (~v108(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19406, 19405])).
% 218.38/140.94 tff(19408,plain,
% 218.38/140.94 (v119(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6959, 19407, 19402])).
% 218.38/140.94 tff(19409,assumption,(~(v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))))), introduced(assumption)).
% 218.38/140.94 tff(19410,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6928, 318, 19409])).
% 218.38/140.94 tff(19411,plain,(v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19412,plain,
% 218.38/140.94 ((~v119(constB63)) | (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6956, 19411])).
% 218.38/140.94 tff(19413,plain,
% 218.38/140.94 (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19412, 19408])).
% 218.38/140.94 tff(19414,assumption,(~v114(constB63)), introduced(assumption)).
% 218.38/140.94 tff(19415,plain,
% 218.38/140.94 (~(v110(constB63) | v117(constB63))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[13364, 19404])).
% 218.38/140.94 tff(19416,plain,
% 218.38/140.94 (~v117(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[13946, 19415])).
% 218.38/140.94 tff(19417,assumption,(~(v109(constB63) | v118(constB63))), introduced(assumption)).
% 218.38/140.94 tff(19418,plain,
% 218.38/140.94 (~v118(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[13748, 19417])).
% 218.38/140.94 tff(19419,assumption,(~v117(constB63)), introduced(assumption)).
% 218.38/140.94 tff(19420,assumption,(~v115(constB63)), introduced(assumption)).
% 218.38/140.94 tff(19421,plain,
% 218.38/140.94 (~v113(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[12707, 12699])).
% 218.38/140.94 tff(19422,plain,
% 218.38/140.94 (~v108(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6921, 19417, 13369])).
% 218.38/140.94 tff(19423,plain,
% 218.38/140.94 (v119(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6959, 19422, 19402])).
% 218.38/140.94 tff(19424,plain,
% 218.38/140.94 ((~(v119(constB63) <=> (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))))) | (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6956, 19423])).
% 218.38/140.94 tff(19425,plain,
% 218.38/140.94 (~(v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19424, 6929])).
% 218.38/140.94 tff(19426,plain,
% 218.38/140.94 (~v84(constB63, 0)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6954, 19425])).
% 218.38/140.94 tff(19427,plain,
% 218.38/140.94 ((v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))) | v84(constB63, 0)),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19428,plain,
% 218.38/140.94 (v84(constB63, 2) | (~v84(constB63, 0)) | (~v84(constB63, 1))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19427, 19426])).
% 218.38/140.94 tff(19429,plain,
% 218.38/140.94 (~v116(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[14934, 19428])).
% 218.38/140.94 tff(19430,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[12743, 1807, 19429, 12699, 19421, 19420, 19414, 19419, 19418])).
% 218.38/140.94 tff(19431,plain,((v109(constB63) | v118(constB63)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))) | v115(constB63) | v114(constB63) | v117(constB63) | (~(v108(constB63) | v119(constB63)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19432,plain,
% 218.38/140.94 (v115(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19431, 19416, 19402, 19414, 12699, 19405])).
% 218.38/140.94 tff(19433,plain,
% 218.38/140.94 (~(v84(constB63, 2) | v84(constB63, 0) | (~v84(constB63, 1)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19285, 19432])).
% 218.38/140.94 tff(19434,plain,
% 218.38/140.94 (~v84(constB63, 2)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6867, 19433])).
% 218.38/140.94 tff(19435,plain,
% 218.38/140.94 ((v84(constB63, 0) | (~v84(constB63, 2)) | (~v84(constB63, 1))) | v84(constB63, 2)),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19436,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19435, 19434, 19413])).
% 218.38/140.94 tff(19437,plain,(v109(constB63) | (~(v108(constB63) | v119(constB63))) | v114(constB63) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB63, B) <=> b001(B))) | v118(constB63)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19438,plain,
% 218.38/140.94 (v109(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19437, 19401, 19277, 19298, 14937])).
% 218.38/140.94 tff(19439,plain,
% 218.38/140.94 ((~v109(constB63)) | (v110(constB63) | v117(constB63))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6909, 13363])).
% 218.38/140.94 tff(19440,plain,
% 218.38/140.94 (v110(constB63) | v117(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19439, 19438])).
% 218.38/140.94 tff(19441,plain,
% 218.38/140.94 (v117(constB63)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6906, 19440, 19292])).
% 218.38/140.94 tff(19442,plain,
% 218.38/140.94 (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[15105, 19441])).
% 218.38/140.94 tff(19443,plain,
% 218.38/140.94 (~v84(constB63, 1)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6901, 19442])).
% 218.38/140.94 tff(19444,assumption,(~(v84(constB63, 1) <=> v84(constB62, 1))), introduced(assumption)).
% 218.38/140.94 tff(19445,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6358, 6350, 19444])).
% 218.38/140.94 tff(19446,plain,(v84(constB63, 1) <=> v84(constB62, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19447,plain,
% 218.38/140.94 (v84(constB63, 1) | (~v84(constB62, 1))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6816, 19446])).
% 218.38/140.94 tff(19448,plain,
% 218.38/140.94 (~v84(constB62, 1)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19447, 19443])).
% 218.38/140.94 tff(19449,plain,
% 218.38/140.94 ((~(v84(constB62, 1) <=> v123(constB62, 1))) | v84(constB62, 1) | (~v123(constB62, 1))),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19450,plain,
% 218.38/140.94 (~v123(constB62, 1)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19449, 19448, 19254])).
% 218.38/140.94 tff(19451,assumption,(~(v123(constB62, 1) <=> v121(constB61, 1))), introduced(assumption)).
% 218.38/140.94 tff(19452,plain,
% 218.38/140.94 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19453,plain,
% 218.38/140.94 (((~nextState(constB61, constB62)) | ![B: $int] : ((v123(constB62, B) <=> v121(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19454,plain,
% 218.38/140.94 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB61, constB62)) | ![B: $int] : ((v123(constB62, B) <=> v121(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19453])).
% 218.38/140.94 tff(19455,plain,
% 218.38/140.94 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB61, constB62)) | ![B: $int] : ((v123(constB62, B) <=> v121(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B))))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19454, 19452])).
% 218.38/140.94 tff(19456,plain,
% 218.38/140.94 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB61, constB62)) | ![B: $int] : ((v123(constB62, B) <=> v121(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19457,plain,
% 218.38/140.94 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB61, constB62)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19456, 19455])).
% 218.38/140.94 tff(19458,plain,
% 218.38/140.94 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19457, 6779, 1527])).
% 218.38/140.94 tff(19459,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 1) <=> v121(constB61, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 1) <=> v121(constB61, 1)))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19460,plain,
% 218.38/140.94 (($false | $false | (v123(constB62, 1) <=> v121(constB61, 1))) <=> (v123(constB62, 1) <=> v121(constB61, 1))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19461,plain,
% 218.38/140.94 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB62, 1) <=> v121(constB61, 1))) <=> ($false | $false | (v123(constB62, 1) <=> v121(constB61, 1)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.94 tff(19462,plain,
% 218.38/140.94 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB62, 1) <=> v121(constB61, 1))) <=> (v123(constB62, 1) <=> v121(constB61, 1))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19461, 19460])).
% 218.38/140.94 tff(19463,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB62, 1) <=> v121(constB61, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 1) <=> v121(constB61, 1)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19462])).
% 218.38/140.94 tff(19464,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB62, 1) <=> v121(constB61, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 1) <=> v121(constB61, 1)))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19463, 19459])).
% 218.38/140.94 tff(19465,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB62, 1) <=> v121(constB61, 1)))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19466,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 1) <=> v121(constB61, 1))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19465, 19464])).
% 218.38/140.94 tff(19467,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19466, 19458, 19451])).
% 218.38/140.94 tff(19468,plain,(v123(constB62, 1) <=> v121(constB61, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19469,plain,
% 218.38/140.94 ((~(v123(constB62, 1) <=> v121(constB61, 1))) | v123(constB62, 1) | (~v121(constB61, 1))),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19470,plain,
% 218.38/140.94 (v123(constB62, 1) | (~v121(constB61, 1))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19469, 19468])).
% 218.38/140.94 tff(19471,plain,
% 218.38/140.94 (~v121(constB61, 1)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19470, 19450])).
% 218.38/140.94 tff(19472,assumption,(~(v121(constB61, 1) <=> v124(constB61, 1))), introduced(assumption)).
% 218.38/140.94 tff(19473,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19474,plain,
% 218.38/140.94 ((v105(constB61) | ![B: $int] : ((v121(constB61, B) <=> v124(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19475,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB61) | ![B: $int] : ((v121(constB61, B) <=> v124(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19474])).
% 218.38/140.94 tff(19476,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB61) | ![B: $int] : ((v121(constB61, B) <=> v124(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B))))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19475, 19473])).
% 218.38/140.94 tff(19477,plain,
% 218.38/140.94 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB61) | ![B: $int] : ((v121(constB61, B) <=> v124(constB61, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19478,plain,
% 218.38/140.94 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19477, 19476])).
% 218.38/140.94 tff(19479,plain,
% 218.38/140.94 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19478, 1562, 6768])).
% 218.38/140.94 tff(19480,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 1) <=> v124(constB61, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 1) <=> v124(constB61, 1)))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19481,plain,
% 218.38/140.94 (($false | $false | (v121(constB61, 1) <=> v124(constB61, 1))) <=> (v121(constB61, 1) <=> v124(constB61, 1))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19482,plain,
% 218.38/140.94 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB61, 1) <=> v124(constB61, 1))) <=> ($false | $false | (v121(constB61, 1) <=> v124(constB61, 1)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.94 tff(19483,plain,
% 218.38/140.94 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB61, 1) <=> v124(constB61, 1))) <=> (v121(constB61, 1) <=> v124(constB61, 1))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19482, 19481])).
% 218.38/140.94 tff(19484,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB61, 1) <=> v124(constB61, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 1) <=> v124(constB61, 1)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19483])).
% 218.38/140.94 tff(19485,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB61, 1) <=> v124(constB61, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 1) <=> v124(constB61, 1)))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19484, 19480])).
% 218.38/140.94 tff(19486,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB61, 1) <=> v124(constB61, 1)))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19487,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 1) <=> v124(constB61, 1))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19486, 19485])).
% 218.38/140.94 tff(19488,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19487, 19479, 19472])).
% 218.38/140.94 tff(19489,plain,(v121(constB61, 1) <=> v124(constB61, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19490,plain,
% 218.38/140.94 ((~(v121(constB61, 1) <=> v124(constB61, 1))) | v121(constB61, 1) | (~v124(constB61, 1))),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19491,plain,
% 218.38/140.94 (v121(constB61, 1) | (~v124(constB61, 1))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19490, 19489])).
% 218.38/140.94 tff(19492,plain,
% 218.38/140.94 (~v124(constB61, 1)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19491, 19471])).
% 218.38/140.94 tff(19493,plain,
% 218.38/140.94 (v84(constB62, 0) <=> v123(constB62, 0)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[8142, 19242])).
% 218.38/140.94 tff(19494,plain,
% 218.38/140.94 ((v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))) | (~v84(constB63, 0))),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19495,plain,
% 218.38/140.94 (~v84(constB63, 0)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19494, 19442])).
% 218.38/140.94 tff(19496,assumption,(~(v84(constB63, 0) <=> v84(constB62, 0))), introduced(assumption)).
% 218.38/140.94 tff(19497,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6937, 6350, 19496])).
% 218.38/140.94 tff(19498,plain,(v84(constB63, 0) <=> v84(constB62, 0)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19499,plain,
% 218.38/140.94 (v84(constB63, 0) | (~v84(constB62, 0))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6951, 19498])).
% 218.38/140.94 tff(19500,plain,
% 218.38/140.94 (~v84(constB62, 0)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19499, 19495])).
% 218.38/140.94 tff(19501,plain,
% 218.38/140.94 ((~(v84(constB62, 0) <=> v123(constB62, 0))) | v84(constB62, 0) | (~v123(constB62, 0))),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19502,plain,
% 218.38/140.94 (~v123(constB62, 0)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19501, 19500, 19493])).
% 218.38/140.94 tff(19503,assumption,(~(v123(constB62, 0) <=> v121(constB61, 0))), introduced(assumption)).
% 218.38/140.94 tff(19504,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 0) <=> v121(constB61, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 0) <=> v121(constB61, 0)))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19505,plain,
% 218.38/140.94 (($false | $false | (v123(constB62, 0) <=> v121(constB61, 0))) <=> (v123(constB62, 0) <=> v121(constB61, 0))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19506,plain,
% 218.38/140.94 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB62, 0) <=> v121(constB61, 0))) <=> ($false | $false | (v123(constB62, 0) <=> v121(constB61, 0)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[250, 249])).
% 218.38/140.94 tff(19507,plain,
% 218.38/140.94 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB62, 0) <=> v121(constB61, 0))) <=> (v123(constB62, 0) <=> v121(constB61, 0))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19506, 19505])).
% 218.38/140.94 tff(19508,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB62, 0) <=> v121(constB61, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 0) <=> v121(constB61, 0)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19507])).
% 218.38/140.94 tff(19509,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB62, 0) <=> v121(constB61, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 0) <=> v121(constB61, 0)))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19508, 19504])).
% 218.38/140.94 tff(19510,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB62, 0) <=> v121(constB61, 0)))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19511,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 0) <=> v121(constB61, 0))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19510, 19509])).
% 218.38/140.94 tff(19512,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19511, 19458, 19503])).
% 218.38/140.94 tff(19513,plain,(v123(constB62, 0) <=> v121(constB61, 0)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19514,plain,
% 218.38/140.94 ((~(v123(constB62, 0) <=> v121(constB61, 0))) | v123(constB62, 0) | (~v121(constB61, 0))),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19515,plain,
% 218.38/140.94 (v123(constB62, 0) | (~v121(constB61, 0))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19514, 19513])).
% 218.38/140.94 tff(19516,plain,
% 218.38/140.94 (~v121(constB61, 0)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19515, 19502])).
% 218.38/140.94 tff(19517,assumption,(~(v121(constB61, 0) <=> v124(constB61, 0))), introduced(assumption)).
% 218.38/140.94 tff(19518,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 0) <=> v124(constB61, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 0) <=> v124(constB61, 0)))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19519,plain,
% 218.38/140.94 (($false | $false | (v121(constB61, 0) <=> v124(constB61, 0))) <=> (v121(constB61, 0) <=> v124(constB61, 0))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19520,plain,
% 218.38/140.94 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB61, 0) <=> v124(constB61, 0))) <=> ($false | $false | (v121(constB61, 0) <=> v124(constB61, 0)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[250, 249])).
% 218.38/140.94 tff(19521,plain,
% 218.38/140.94 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB61, 0) <=> v124(constB61, 0))) <=> (v121(constB61, 0) <=> v124(constB61, 0))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19520, 19519])).
% 218.38/140.94 tff(19522,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB61, 0) <=> v124(constB61, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 0) <=> v124(constB61, 0)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19521])).
% 218.38/140.94 tff(19523,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB61, 0) <=> v124(constB61, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 0) <=> v124(constB61, 0)))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19522, 19518])).
% 218.38/140.94 tff(19524,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB61, 0) <=> v124(constB61, 0)))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19525,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 0) <=> v124(constB61, 0))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19524, 19523])).
% 218.38/140.94 tff(19526,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19525, 19479, 19517])).
% 218.38/140.94 tff(19527,plain,(v121(constB61, 0) <=> v124(constB61, 0)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19528,plain,
% 218.38/140.94 ((~(v121(constB61, 0) <=> v124(constB61, 0))) | v121(constB61, 0) | (~v124(constB61, 0))),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19529,plain,
% 218.38/140.94 (v121(constB61, 0) | (~v124(constB61, 0))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19528, 19527])).
% 218.38/140.94 tff(19530,plain,
% 218.38/140.94 (~v124(constB61, 0)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19529, 19516])).
% 218.38/140.94 tff(19531,assumption,(~v124(constB61, 0)), introduced(assumption)).
% 218.38/140.94 tff(19532,plain,
% 218.38/140.94 ((~(v124(constB61, 0) <=> b101(0))) | v124(constB61, 0) | (~b101(0))),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19533,plain,
% 218.38/140.94 (~(v124(constB61, 0) <=> b101(0))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19532, 2042, 19531])).
% 218.38/140.94 tff(19534,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))), introduced(assumption)).
% 218.38/140.94 tff(19535,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))) | (v124(constB61, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))) | (v124(constB61, 0) <=> b101(0)))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19536,plain,
% 218.38/140.94 (($false | $false | (v124(constB61, 0) <=> b101(0))) <=> (v124(constB61, 0) <=> b101(0))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19537,plain,
% 218.38/140.94 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b101(0))) <=> ($false | $false | (v124(constB61, 0) <=> b101(0)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[250, 249])).
% 218.38/140.94 tff(19538,plain,
% 218.38/140.94 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b101(0))) <=> (v124(constB61, 0) <=> b101(0))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19537, 19536])).
% 218.38/140.94 tff(19539,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))) | (v124(constB61, 0) <=> b101(0)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19538])).
% 218.38/140.94 tff(19540,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))) | (v124(constB61, 0) <=> b101(0)))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19539, 19535])).
% 218.38/140.94 tff(19541,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b101(0)))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19542,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))) | (v124(constB61, 0) <=> b101(0))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19541, 19540])).
% 218.38/140.94 tff(19543,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19542, 19534, 19533])).
% 218.38/140.94 tff(19544,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))) | v124(constB61, 0)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19545,plain,
% 218.38/140.94 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19544, 19530])).
% 218.38/140.94 tff(19546,assumption,(v117(constB61)), introduced(assumption)).
% 218.38/140.94 tff(19547,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))), introduced(assumption)).
% 218.38/140.94 tff(19548,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19549,plain,
% 218.38/140.94 (((~v117(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19550,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19549])).
% 218.38/140.94 tff(19551,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B))))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19550, 19548])).
% 218.38/140.94 tff(19552,plain,
% 218.38/140.94 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19553,plain,
% 218.38/140.94 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19552, 19551])).
% 218.38/140.94 tff(19554,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19553, 2090, 19547, 19546])).
% 218.38/140.94 tff(19555,plain,((~v117(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19556,plain,
% 218.38/140.94 (~v117(constB61)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19555, 19545])).
% 218.38/140.94 tff(19557,assumption,(~(v117(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))))), introduced(assumption)).
% 218.38/140.94 tff(19558,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6727, 656, 19557])).
% 218.38/140.94 tff(19559,plain,(v117(constB61) <=> (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19560,plain,
% 218.38/140.94 (v117(constB61) | (v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[7813, 19559])).
% 218.38/140.94 tff(19561,plain,
% 218.38/140.94 (v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19560, 19556])).
% 218.38/140.94 tff(19562,assumption,(~v124(constB61, 1)), introduced(assumption)).
% 218.38/140.94 tff(19563,plain,
% 218.38/140.94 ((~(v124(constB61, 1) <=> b011(1))) | v124(constB61, 1) | (~b011(1))),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19564,plain,
% 218.38/140.94 (~(v124(constB61, 1) <=> b011(1))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19563, 2593, 19562])).
% 218.38/140.94 tff(19565,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))), introduced(assumption)).
% 218.38/140.94 tff(19566,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | (v124(constB61, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | (v124(constB61, 1) <=> b011(1)))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19567,plain,
% 218.38/140.94 (($false | $false | (v124(constB61, 1) <=> b011(1))) <=> (v124(constB61, 1) <=> b011(1))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19568,plain,
% 218.38/140.94 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b011(1))) <=> ($false | $false | (v124(constB61, 1) <=> b011(1)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.94 tff(19569,plain,
% 218.38/140.94 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b011(1))) <=> (v124(constB61, 1) <=> b011(1))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19568, 19567])).
% 218.38/140.94 tff(19570,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | (v124(constB61, 1) <=> b011(1)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19569])).
% 218.38/140.94 tff(19571,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | (v124(constB61, 1) <=> b011(1)))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19570, 19566])).
% 218.38/140.94 tff(19572,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b011(1)))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19573,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | (v124(constB61, 1) <=> b011(1))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19572, 19571])).
% 218.38/140.94 tff(19574,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19573, 19565, 19564])).
% 218.38/140.94 tff(19575,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | v124(constB61, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19576,plain,
% 218.38/140.94 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19575, 19562])).
% 218.38/140.94 tff(19577,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))), introduced(assumption)).
% 218.38/140.94 tff(19578,assumption,(v115(constB61)), introduced(assumption)).
% 218.38/140.94 tff(19579,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19580,plain,
% 218.38/140.94 (((~v115(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19581,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19580])).
% 218.38/140.94 tff(19582,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B))))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19581, 19579])).
% 218.38/140.94 tff(19583,plain,
% 218.38/140.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19584,plain,
% 218.38/140.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19583, 19582])).
% 218.38/140.94 tff(19585,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19584, 2144, 19578, 19577])).
% 218.38/140.94 tff(19586,plain,((~v115(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19587,plain,
% 218.38/140.94 (~v115(constB61)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19586, 19576])).
% 218.38/140.94 tff(19588,assumption,(~(v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))))), introduced(assumption)).
% 218.38/140.94 tff(19589,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6711, 622, 19588])).
% 218.38/140.94 tff(19590,plain,(v115(constB61) <=> (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19591,plain,
% 218.38/140.94 (v115(constB61) | (v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[7828, 19590])).
% 218.38/140.94 tff(19592,plain,
% 218.38/140.94 (v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19591, 19587])).
% 218.38/140.94 tff(19593,assumption,(~v84(constB61, 1)), introduced(assumption)).
% 218.38/140.94 tff(19594,plain,
% 218.38/140.94 ((~(v124(constB61, 1) <=> b010(1))) | v124(constB61, 1) | (~b010(1))),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19595,plain,
% 218.38/140.94 (~(v124(constB61, 1) <=> b010(1))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19594, 2513, 19562])).
% 218.38/140.94 tff(19596,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))), introduced(assumption)).
% 218.38/140.94 tff(19597,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))) | (v124(constB61, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))) | (v124(constB61, 1) <=> b010(1)))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19598,plain,
% 218.38/140.94 (($false | $false | (v124(constB61, 1) <=> b010(1))) <=> (v124(constB61, 1) <=> b010(1))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19599,plain,
% 218.38/140.94 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b010(1))) <=> ($false | $false | (v124(constB61, 1) <=> b010(1)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.94 tff(19600,plain,
% 218.38/140.94 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b010(1))) <=> (v124(constB61, 1) <=> b010(1))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19599, 19598])).
% 218.38/140.94 tff(19601,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))) | (v124(constB61, 1) <=> b010(1)))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19600])).
% 218.38/140.94 tff(19602,plain,
% 218.38/140.94 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))) | (v124(constB61, 1) <=> b010(1)))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19601, 19597])).
% 218.38/140.94 tff(19603,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b010(1)))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19604,plain,
% 218.38/140.94 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))) | (v124(constB61, 1) <=> b010(1))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19603, 19602])).
% 218.38/140.94 tff(19605,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19604, 19596, 19595])).
% 218.38/140.94 tff(19606,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))) | v124(constB61, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19607,plain,
% 218.38/140.94 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19606, 19562])).
% 218.38/140.94 tff(19608,assumption,(v114(constB61)), introduced(assumption)).
% 218.38/140.94 tff(19609,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))), introduced(assumption)).
% 218.38/140.94 tff(19610,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19611,plain,
% 218.38/140.94 (((~v114(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19612,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19611])).
% 218.38/140.94 tff(19613,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B))))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19612, 19610])).
% 218.38/140.94 tff(19614,plain,
% 218.38/140.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19615,plain,
% 218.38/140.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19614, 19613])).
% 218.38/140.94 tff(19616,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19615, 2418, 19609, 19608])).
% 218.38/140.94 tff(19617,plain,((~v114(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19618,plain,
% 218.38/140.94 (~v114(constB61)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19617, 19607])).
% 218.38/140.94 tff(19619,assumption,(~(v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2))))), introduced(assumption)).
% 218.38/140.94 tff(19620,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6664, 298, 19619])).
% 218.38/140.94 tff(19621,plain,(v114(constB61) <=> (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19622,plain,
% 218.38/140.94 (v114(constB61) | (v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[7916, 19621])).
% 218.38/140.94 tff(19623,plain,
% 218.38/140.94 (v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19622, 19618])).
% 218.38/140.94 tff(19624,assumption,(v84(constB61, 0)), introduced(assumption)).
% 218.38/140.94 tff(19625,assumption,(v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2))), introduced(assumption)).
% 218.38/140.94 tff(19626,assumption,(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)), introduced(assumption)).
% 218.38/140.94 tff(19627,plain,
% 218.38/140.94 (v84(constB61, 2)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[7935, 19624, 19626, 19593])).
% 218.38/140.94 tff(19628,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[7942, 19627, 19624, 19625, 19593])).
% 218.38/140.94 tff(19629,plain,((~v84(constB61, 0)) | (~(v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2)))) | v84(constB61, 1) | (~(v84(constB61, 1) | (~v84(constB61, 0)) | v84(constB61, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19630,plain,
% 218.38/140.94 (~(v84(constB61, 1) | (~v84(constB61, 0)) | (~v84(constB61, 2)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19629, 19624, 19623, 19593])).
% 218.38/140.94 tff(19631,plain,
% 218.38/140.94 (v118(constB61)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[7903, 19630])).
% 218.38/140.94 tff(19632,assumption,(v118(constB61)), introduced(assumption)).
% 218.38/140.94 tff(19633,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))), introduced(assumption)).
% 218.38/140.94 tff(19634,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19635,plain,
% 218.38/140.94 (((~v118(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B))))),
% 218.38/140.94 inference(rewrite,[status(thm)],[])).
% 218.38/140.94 tff(19636,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))))),
% 218.38/140.94 inference(monotonicity,[status(thm)],[19635])).
% 218.38/140.94 tff(19637,plain,
% 218.38/140.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B))))),
% 218.38/140.94 inference(transitivity,[status(thm)],[19636, 19634])).
% 218.38/140.94 tff(19638,plain,
% 218.38/140.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.94 inference(quant_inst,[status(thm)],[])).
% 218.38/140.94 tff(19639,plain,
% 218.38/140.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))),
% 218.38/140.94 inference(modus_ponens,[status(thm)],[19638, 19637])).
% 218.38/140.94 tff(19640,plain,
% 218.38/140.94 ($false),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19639, 1977, 19633, 19632])).
% 218.38/140.94 tff(19641,plain,((~v118(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.94 tff(19642,plain,
% 218.38/140.94 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19641, 19631])).
% 218.38/140.94 tff(19643,plain,
% 218.38/140.94 (((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)) | v84(constB61, 1)),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19644,plain,
% 218.38/140.94 ((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19643, 19593])).
% 218.38/140.94 tff(19645,plain,
% 218.38/140.94 ((~v116(constB61)) | (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6653, 7929])).
% 218.38/140.94 tff(19646,plain,
% 218.38/140.94 (~v116(constB61)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19645, 19644])).
% 218.38/140.94 tff(19647,plain,
% 218.38/140.94 (v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6729, 19624])).
% 218.38/140.94 tff(19648,plain,
% 218.38/140.94 ((~v117(constB61)) | (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2))))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[6731, 19559])).
% 218.38/140.94 tff(19649,plain,
% 218.38/140.94 (~v117(constB61)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19648, 19647])).
% 218.38/140.94 tff(19650,plain,
% 218.38/140.94 ((~(v124(constB61, 1) <=> b110(1))) | v124(constB61, 1) | (~b110(1))),
% 218.38/140.94 inference(tautology,[status(thm)],[])).
% 218.38/140.94 tff(19651,plain,
% 218.38/140.94 (~(v124(constB61, 1) <=> b110(1))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19650, 1662, 19562])).
% 218.38/140.94 tff(19652,assumption,(~v115(constB61)), introduced(assumption)).
% 218.38/140.94 tff(19653,assumption,(~v116(constB61)), introduced(assumption)).
% 218.38/140.94 tff(19654,plain,
% 218.38/140.94 ((~v114(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b010(B)))),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19615, 2418])).
% 218.38/140.94 tff(19655,plain,
% 218.38/140.94 (~v114(constB61)),
% 218.38/140.94 inference(unit_resolution,[status(thm)],[19654, 19607])).
% 218.38/140.95 tff(19656,assumption,(~v117(constB61)), introduced(assumption)).
% 218.38/140.95 tff(19657,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))), introduced(assumption)).
% 218.38/140.95 tff(19658,assumption,(v113(constB61)), introduced(assumption)).
% 218.38/140.95 tff(19659,plain,
% 218.38/140.95 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19660,plain,
% 218.38/140.95 (((~v113(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19661,plain,
% 218.38/140.95 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19660])).
% 218.38/140.95 tff(19662,plain,
% 218.38/140.95 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19661, 19659])).
% 218.38/140.95 tff(19663,plain,
% 218.38/140.95 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB61)) | ![B: $int] : ((v124(constB61, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19664,plain,
% 218.38/140.95 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19663, 19662])).
% 218.38/140.95 tff(19665,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19664, 2117, 19657, 19658])).
% 218.38/140.95 tff(19666,plain,((~v113(constB61)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19667,plain,
% 218.38/140.95 (~v113(constB61)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19666, 19657])).
% 218.38/140.95 tff(19668,plain,
% 218.38/140.95 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB61) | v115(constB61) | v117(constB61) | v116(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB61) | v115(constB61) | v117(constB61) | v116(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19669,plain,
% 218.38/140.95 ((v118(constB61) | v117(constB61) | v116(constB61) | v115(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) <=> (v118(constB61) | v115(constB61) | v117(constB61) | v116(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19670,plain,
% 218.38/140.95 (^[B: $int] : rewrite(((v124(constB61, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))))),
% 218.38/140.95 inference(bind,[status(th)],[])).
% 218.38/140.95 tff(19671,plain,
% 218.38/140.95 (![B: $int] : ((v124(constB61, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))),
% 218.38/140.95 inference(quant_intro,[status(thm)],[19670])).
% 218.38/140.95 tff(19672,plain,
% 218.38/140.95 ((v118(constB61) | v117(constB61) | v116(constB61) | v115(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ((v124(constB61, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB61) | v117(constB61) | v116(constB61) | v115(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19671])).
% 218.38/140.95 tff(19673,plain,
% 218.38/140.95 ((v118(constB61) | v117(constB61) | v116(constB61) | v115(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ((v124(constB61, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB61) | v115(constB61) | v117(constB61) | v116(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19672, 19669])).
% 218.38/140.95 tff(19674,plain,
% 218.38/140.95 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB61) | v117(constB61) | v116(constB61) | v115(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ((v124(constB61, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB61) | v115(constB61) | v117(constB61) | v116(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19673])).
% 218.38/140.95 tff(19675,plain,
% 218.38/140.95 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB61) | v117(constB61) | v116(constB61) | v115(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ((v124(constB61, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB61) | v115(constB61) | v117(constB61) | v116(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19674, 19668])).
% 218.38/140.95 tff(19676,plain,
% 218.38/140.95 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB61) | v117(constB61) | v116(constB61) | v115(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ((v124(constB61, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19677,plain,
% 218.38/140.95 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB61) | v115(constB61) | v117(constB61) | v116(constB61) | v114(constB61) | v113(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19676, 19675])).
% 218.38/140.95 tff(19678,plain,
% 218.38/140.95 (v118(constB61) | v115(constB61) | v116(constB61) | v114(constB61)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19677, 1807, 19657, 19667, 19656])).
% 218.38/140.95 tff(19679,plain,
% 218.38/140.95 (v118(constB61)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19678, 19655, 19653, 19652])).
% 218.38/140.95 tff(19680,plain,
% 218.38/140.95 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19641, 19679])).
% 218.38/140.95 tff(19681,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | (v124(constB61, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | (v124(constB61, 1) <=> b110(1)))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19682,plain,
% 218.38/140.95 (($false | $false | (v124(constB61, 1) <=> b110(1))) <=> (v124(constB61, 1) <=> b110(1))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19683,plain,
% 218.38/140.95 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b110(1))) <=> ($false | $false | (v124(constB61, 1) <=> b110(1)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.95 tff(19684,plain,
% 218.38/140.95 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b110(1))) <=> (v124(constB61, 1) <=> b110(1))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19683, 19682])).
% 218.38/140.95 tff(19685,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | (v124(constB61, 1) <=> b110(1)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19684])).
% 218.38/140.95 tff(19686,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | (v124(constB61, 1) <=> b110(1)))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19685, 19681])).
% 218.38/140.95 tff(19687,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB61, 1) <=> b110(1)))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19688,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | (v124(constB61, 1) <=> b110(1))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19687, 19686])).
% 218.38/140.95 tff(19689,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19688, 19680, 19651])).
% 218.38/140.95 tff(19690,plain,(v124(constB61, 1) | v116(constB61) | v115(constB61) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B))) | v117(constB61)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19691,plain,
% 218.38/140.95 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19690, 19649, 19562, 19587, 19646])).
% 218.38/140.95 tff(19692,plain,
% 218.38/140.95 ((~(v124(constB61, 0) <=> b001(0))) | v124(constB61, 0) | (~b001(0))),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19693,plain,
% 218.38/140.95 (~(v124(constB61, 0) <=> b001(0))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19692, 1940, 19531])).
% 218.38/140.95 tff(19694,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))), introduced(assumption)).
% 218.38/140.95 tff(19695,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | (v124(constB61, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | (v124(constB61, 0) <=> b001(0)))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19696,plain,
% 218.38/140.95 (($false | $false | (v124(constB61, 0) <=> b001(0))) <=> (v124(constB61, 0) <=> b001(0))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19697,plain,
% 218.38/140.95 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b001(0))) <=> ($false | $false | (v124(constB61, 0) <=> b001(0)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[250, 249])).
% 218.38/140.95 tff(19698,plain,
% 218.38/140.95 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b001(0))) <=> (v124(constB61, 0) <=> b001(0))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19697, 19696])).
% 218.38/140.95 tff(19699,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | (v124(constB61, 0) <=> b001(0)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19698])).
% 218.38/140.95 tff(19700,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | (v124(constB61, 0) <=> b001(0)))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19699, 19695])).
% 218.38/140.95 tff(19701,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b001(0)))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19702,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | (v124(constB61, 0) <=> b001(0))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19701, 19700])).
% 218.38/140.95 tff(19703,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19702, 19694, 19693])).
% 218.38/140.95 tff(19704,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | v124(constB61, 0)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19705,plain,
% 218.38/140.95 (v124(constB61, 0)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19704, 19691])).
% 218.38/140.95 tff(19706,assumption,(v124(constB61, 0)), introduced(assumption)).
% 218.38/140.95 tff(19707,plain,
% 218.38/140.95 ((~(v124(constB61, 0) <=> b110(0))) | (~v124(constB61, 0)) | b110(0)),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19708,plain,
% 218.38/140.95 (~(v124(constB61, 0) <=> b110(0))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19707, 3186, 19706])).
% 218.38/140.95 tff(19709,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))), introduced(assumption)).
% 218.38/140.95 tff(19710,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | (v124(constB61, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | (v124(constB61, 0) <=> b110(0)))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19711,plain,
% 218.38/140.95 (($false | $false | (v124(constB61, 0) <=> b110(0))) <=> (v124(constB61, 0) <=> b110(0))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19712,plain,
% 218.38/140.95 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b110(0))) <=> ($false | $false | (v124(constB61, 0) <=> b110(0)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[250, 249])).
% 218.38/140.95 tff(19713,plain,
% 218.38/140.95 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b110(0))) <=> (v124(constB61, 0) <=> b110(0))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19712, 19711])).
% 218.38/140.95 tff(19714,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | (v124(constB61, 0) <=> b110(0)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19713])).
% 218.38/140.95 tff(19715,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | (v124(constB61, 0) <=> b110(0)))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19714, 19710])).
% 218.38/140.95 tff(19716,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB61, 0) <=> b110(0)))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19717,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | (v124(constB61, 0) <=> b110(0))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19716, 19715])).
% 218.38/140.95 tff(19718,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19717, 19709, 19708])).
% 218.38/140.95 tff(19719,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b110(B)))) | (~v124(constB61, 0))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19720,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19719, 19705, 19642])).
% 218.38/140.95 tff(19721,plain,((~v84(constB61, 0)) | v124(constB61, 1) | v84(constB61, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19722,plain,
% 218.38/140.95 (~v84(constB61, 0)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19721, 19593, 19562])).
% 218.38/140.95 tff(19723,plain,
% 218.38/140.95 ((v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))) | v84(constB61, 1)),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19724,plain,
% 218.38/140.95 (v84(constB61, 0) | (~v84(constB61, 1)) | (~v84(constB61, 2))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19723, 19593])).
% 218.38/140.95 tff(19725,plain,
% 218.38/140.95 (~(v84(constB61, 0) | v84(constB61, 1) | v84(constB61, 2))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[7865, 7849, 19724, 7850, 7852])).
% 218.38/140.95 tff(19726,plain,
% 218.38/140.95 (~(v84(constB60, 1) <=> v123(constB60, 1))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[7789, 19725])).
% 218.38/140.95 tff(19727,plain,
% 218.38/140.95 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB60, B) <=> v123(constB60, B)))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[7436, 19726])).
% 218.38/140.95 tff(19728,plain,
% 218.38/140.95 (~v84(constB60, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[7463, 19593])).
% 218.38/140.95 tff(19729,assumption,(~(v84(constB61, 0) <=> v84(constB60, 0))), introduced(assumption)).
% 218.38/140.95 tff(19730,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[6679, 6399, 19729])).
% 218.38/140.95 tff(19731,plain,(v84(constB61, 0) <=> v84(constB60, 0)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19732,plain,
% 218.38/140.95 (v84(constB61, 0) | (~v84(constB60, 0))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[6693, 19731])).
% 218.38/140.95 tff(19733,plain,
% 218.38/140.95 (~v84(constB60, 0)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19732, 7850])).
% 218.38/140.95 tff(19734,plain,
% 218.38/140.95 (~v84(constB61, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[7863, 7849, 19593, 7850])).
% 218.38/140.95 tff(19735,assumption,(~(v84(constB61, 2) <=> v84(constB60, 2))), introduced(assumption)).
% 218.38/140.95 tff(19736,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[6634, 6399, 19735])).
% 218.38/140.95 tff(19737,plain,(v84(constB61, 2) <=> v84(constB60, 2)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19738,plain,
% 218.38/140.95 (v84(constB61, 2) | (~v84(constB60, 2))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[6648, 19737])).
% 218.38/140.95 tff(19739,plain,
% 218.38/140.95 (~v84(constB60, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19738, 19734])).
% 218.38/140.95 tff(19740,plain,
% 218.38/140.95 (v94(constB60)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[7555, 19739, 19733, 19728])).
% 218.38/140.95 tff(19741,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[7423, 19740, 19727])).
% 218.38/140.95 tff(19742,plain,((~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))) | v84(constB61, 1) | v84(constB61, 0) | (~(v84(constB61, 0) | (~v84(constB61, 1)) | v84(constB61, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19743,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19742, 19722, 19593, 7849, 19592])).
% 218.38/140.95 tff(19744,plain,(v84(constB61, 1) | (~(v84(constB61, 0) | v84(constB61, 1) | (~v84(constB61, 2)))) | v124(constB61, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19745,plain,
% 218.38/140.95 (v84(constB61, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19744, 19561, 19492])).
% 218.38/140.95 tff(19746,plain,
% 218.38/140.95 ((~v84(constB61, 1)) | v84(constB60, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[7944, 7462])).
% 218.38/140.95 tff(19747,plain,
% 218.38/140.95 (v84(constB60, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19746, 19745])).
% 218.38/140.95 tff(19748,plain,
% 218.38/140.95 (v123(constB60, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[7947, 19747, 19233])).
% 218.38/140.95 tff(19749,plain,
% 218.38/140.95 ((~v123(constB60, 1)) | v121(constB59, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[7950, 7484])).
% 218.38/140.95 tff(19750,plain,
% 218.38/140.95 (v121(constB59, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19749, 19748])).
% 218.38/140.95 tff(19751,plain,
% 218.38/140.95 ((~v121(constB59, 1)) | v124(constB59, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[7953, 7455])).
% 218.38/140.95 tff(19752,plain,
% 218.38/140.95 (v124(constB59, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19751, 19750])).
% 218.38/140.95 tff(19753,plain,
% 218.38/140.95 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB59, B) <=> b100(B)))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[16458, 19752])).
% 218.38/140.95 tff(19754,plain,
% 218.38/140.95 (~v116(constB59)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[16463, 19753])).
% 218.38/140.95 tff(19755,assumption,(~(v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))))), introduced(assumption)).
% 218.38/140.95 tff(19756,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[6588, 521, 19755])).
% 218.38/140.95 tff(19757,plain,(v116(constB59) <=> (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19758,plain,
% 218.38/140.95 (v116(constB59) | ((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0)))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[6592, 19757])).
% 218.38/140.95 tff(19759,plain,
% 218.38/140.95 ((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19758, 19754])).
% 218.38/140.95 tff(19760,plain,
% 218.38/140.95 (v84(constB58, 0)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[16231, 16119])).
% 218.38/140.95 tff(19761,assumption,(v84(constB58, 1) <=> v123(constB58, 1)), introduced(assumption)).
% 218.38/140.95 tff(19762,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 2) <=> v121(constB57, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 2) <=> v121(constB57, 2)))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19763,plain,
% 218.38/140.95 (($false | $false | (v123(constB58, 2) <=> v121(constB57, 2))) <=> (v123(constB58, 2) <=> v121(constB57, 2))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19764,plain,
% 218.38/140.95 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB58, 2) <=> v121(constB57, 2))) <=> ($false | $false | (v123(constB58, 2) <=> v121(constB57, 2)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.95 tff(19765,plain,
% 218.38/140.95 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB58, 2) <=> v121(constB57, 2))) <=> (v123(constB58, 2) <=> v121(constB57, 2))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19764, 19763])).
% 218.38/140.95 tff(19766,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB58, 2) <=> v121(constB57, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 2) <=> v121(constB57, 2)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19765])).
% 218.38/140.95 tff(19767,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB58, 2) <=> v121(constB57, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 2) <=> v121(constB57, 2)))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19766, 19762])).
% 218.38/140.95 tff(19768,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB58, 2) <=> v121(constB57, 2)))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19769,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 2) <=> v121(constB57, 2))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19768, 19767])).
% 218.38/140.95 tff(19770,plain,
% 218.38/140.95 (v123(constB58, 2) <=> v121(constB57, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19769, 16093])).
% 218.38/140.95 tff(19771,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 2) <=> v124(constB57, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 2) <=> v124(constB57, 2)))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19772,plain,
% 218.38/140.95 (($false | $false | (v121(constB57, 2) <=> v124(constB57, 2))) <=> (v121(constB57, 2) <=> v124(constB57, 2))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19773,plain,
% 218.38/140.95 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB57, 2) <=> v124(constB57, 2))) <=> ($false | $false | (v121(constB57, 2) <=> v124(constB57, 2)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.95 tff(19774,plain,
% 218.38/140.95 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB57, 2) <=> v124(constB57, 2))) <=> (v121(constB57, 2) <=> v124(constB57, 2))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19773, 19772])).
% 218.38/140.95 tff(19775,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB57, 2) <=> v124(constB57, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 2) <=> v124(constB57, 2)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19774])).
% 218.38/140.95 tff(19776,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB57, 2) <=> v124(constB57, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 2) <=> v124(constB57, 2)))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19775, 19771])).
% 218.38/140.95 tff(19777,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB57, 2) <=> v124(constB57, 2)))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19778,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 2) <=> v124(constB57, 2))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19777, 19776])).
% 218.38/140.95 tff(19779,plain,
% 218.38/140.95 (v121(constB57, 2) <=> v124(constB57, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19778, 16109])).
% 218.38/140.95 tff(19780,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 2) <=> b011(2)))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19781,plain,
% 218.38/140.95 (($false | $false | (v124(constB57, 2) <=> b011(2))) <=> (v124(constB57, 2) <=> b011(2))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19782,plain,
% 218.38/140.95 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB57, 2) <=> b011(2))) <=> ($false | $false | (v124(constB57, 2) <=> b011(2)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.95 tff(19783,plain,
% 218.38/140.95 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB57, 2) <=> b011(2))) <=> (v124(constB57, 2) <=> b011(2))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19782, 19781])).
% 218.38/140.95 tff(19784,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB57, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 2) <=> b011(2)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19783])).
% 218.38/140.95 tff(19785,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB57, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 2) <=> b011(2)))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19784, 19780])).
% 218.38/140.95 tff(19786,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB57, 2) <=> b011(2)))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19787,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 2) <=> b011(2))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19786, 19785])).
% 218.38/140.95 tff(19788,plain,
% 218.38/140.95 (v124(constB57, 2) <=> b011(2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19787, 16126])).
% 218.38/140.95 tff(19789,plain,
% 218.38/140.95 ((~(v124(constB57, 2) <=> b011(2))) | (~v124(constB57, 2)) | b011(2)),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19790,plain,
% 218.38/140.95 ((~(v124(constB57, 2) <=> b011(2))) | (~v124(constB57, 2))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19789, 2569])).
% 218.38/140.95 tff(19791,plain,
% 218.38/140.95 (~v124(constB57, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19790, 19788])).
% 218.38/140.95 tff(19792,plain,
% 218.38/140.95 ((~(v121(constB57, 2) <=> v124(constB57, 2))) | (~v121(constB57, 2)) | v124(constB57, 2)),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19793,plain,
% 218.38/140.95 ((~(v121(constB57, 2) <=> v124(constB57, 2))) | (~v121(constB57, 2))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19792, 19791])).
% 218.38/140.95 tff(19794,plain,
% 218.38/140.95 (~v121(constB57, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19793, 19779])).
% 218.38/140.95 tff(19795,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 2) <=> v123(constB58, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 2) <=> v123(constB58, 2)))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19796,plain,
% 218.38/140.95 (($false | $false | (v84(constB58, 2) <=> v123(constB58, 2))) <=> (v84(constB58, 2) <=> v123(constB58, 2))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19797,plain,
% 218.38/140.95 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB58, 2) <=> v123(constB58, 2))) <=> ($false | $false | (v84(constB58, 2) <=> v123(constB58, 2)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.95 tff(19798,plain,
% 218.38/140.95 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB58, 2) <=> v123(constB58, 2))) <=> (v84(constB58, 2) <=> v123(constB58, 2))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19797, 19796])).
% 218.38/140.95 tff(19799,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB58, 2) <=> v123(constB58, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 2) <=> v123(constB58, 2)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19798])).
% 218.38/140.95 tff(19800,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB58, 2) <=> v123(constB58, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 2) <=> v123(constB58, 2)))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19799, 19795])).
% 218.38/140.95 tff(19801,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB58, 2) <=> v123(constB58, 2)))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19802,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB58, B) <=> v123(constB58, B)))) | (v84(constB58, 2) <=> v123(constB58, 2))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19801, 19800])).
% 218.38/140.95 tff(19803,plain,
% 218.38/140.95 (v84(constB58, 2) <=> v123(constB58, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19802, 16215])).
% 218.38/140.95 tff(19804,assumption,(v84(constB58, 2)), introduced(assumption)).
% 218.38/140.95 tff(19805,plain,
% 218.38/140.95 ((~(v84(constB58, 2) <=> v123(constB58, 2))) | (~v84(constB58, 2)) | v123(constB58, 2)),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19806,plain,
% 218.38/140.95 ((~(v84(constB58, 2) <=> v123(constB58, 2))) | v123(constB58, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19805, 19804])).
% 218.38/140.95 tff(19807,plain,
% 218.38/140.95 (v123(constB58, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19806, 19803])).
% 218.38/140.95 tff(19808,plain,
% 218.38/140.95 ((~(v123(constB58, 2) <=> v121(constB57, 2))) | (~v123(constB58, 2)) | v121(constB57, 2)),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19809,plain,
% 218.38/140.95 ((~(v123(constB58, 2) <=> v121(constB57, 2))) | v121(constB57, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19808, 19807])).
% 218.38/140.95 tff(19810,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19809, 19794, 19770])).
% 218.38/140.95 tff(19811,plain,((~v115(constB57)) | (~v84(constB58, 2))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19812,plain,
% 218.38/140.95 (~v84(constB58, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19811, 16119])).
% 218.38/140.95 tff(19813,plain,
% 218.38/140.95 (~v84(constB59, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[16471, 19812])).
% 218.38/140.95 tff(19814,plain,
% 218.38/140.95 (~v84(constB59, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[6600, 19813, 6596, 6595])).
% 218.38/140.95 tff(19815,plain,
% 218.38/140.95 (~v84(constB58, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[16509, 19814])).
% 218.38/140.95 tff(19816,plain,
% 218.38/140.95 ((~(v84(constB58, 1) <=> v123(constB58, 1))) | v84(constB58, 1) | (~v123(constB58, 1))),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19817,plain,
% 218.38/140.95 (~v123(constB58, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19816, 19815, 19761])).
% 218.38/140.95 tff(19818,assumption,(~(v123(constB58, 1) <=> v121(constB57, 1))), introduced(assumption)).
% 218.38/140.95 tff(19819,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 1) <=> v121(constB57, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 1) <=> v121(constB57, 1)))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19820,plain,
% 218.38/140.95 (($false | $false | (v123(constB58, 1) <=> v121(constB57, 1))) <=> (v123(constB58, 1) <=> v121(constB57, 1))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19821,plain,
% 218.38/140.95 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB58, 1) <=> v121(constB57, 1))) <=> ($false | $false | (v123(constB58, 1) <=> v121(constB57, 1)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.95 tff(19822,plain,
% 218.38/140.95 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB58, 1) <=> v121(constB57, 1))) <=> (v123(constB58, 1) <=> v121(constB57, 1))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19821, 19820])).
% 218.38/140.95 tff(19823,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB58, 1) <=> v121(constB57, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 1) <=> v121(constB57, 1)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19822])).
% 218.38/140.95 tff(19824,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB58, 1) <=> v121(constB57, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 1) <=> v121(constB57, 1)))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19823, 19819])).
% 218.38/140.95 tff(19825,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB58, 1) <=> v121(constB57, 1)))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19826,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB58, B) <=> v121(constB57, B)))) | (v123(constB58, 1) <=> v121(constB57, 1))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19825, 19824])).
% 218.38/140.95 tff(19827,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19826, 16093, 19818])).
% 218.38/140.95 tff(19828,plain,(v123(constB58, 1) <=> v121(constB57, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19829,plain,
% 218.38/140.95 ((~(v123(constB58, 1) <=> v121(constB57, 1))) | v123(constB58, 1) | (~v121(constB57, 1))),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19830,plain,
% 218.38/140.95 (v123(constB58, 1) | (~v121(constB57, 1))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19829, 19828])).
% 218.38/140.95 tff(19831,plain,
% 218.38/140.95 (~v121(constB57, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19830, 19817])).
% 218.38/140.95 tff(19832,assumption,(~(v121(constB57, 1) <=> v124(constB57, 1))), introduced(assumption)).
% 218.38/140.95 tff(19833,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 1) <=> v124(constB57, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 1) <=> v124(constB57, 1)))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19834,plain,
% 218.38/140.95 (($false | $false | (v121(constB57, 1) <=> v124(constB57, 1))) <=> (v121(constB57, 1) <=> v124(constB57, 1))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19835,plain,
% 218.38/140.95 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB57, 1) <=> v124(constB57, 1))) <=> ($false | $false | (v121(constB57, 1) <=> v124(constB57, 1)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.95 tff(19836,plain,
% 218.38/140.95 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB57, 1) <=> v124(constB57, 1))) <=> (v121(constB57, 1) <=> v124(constB57, 1))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19835, 19834])).
% 218.38/140.95 tff(19837,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB57, 1) <=> v124(constB57, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 1) <=> v124(constB57, 1)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19836])).
% 218.38/140.95 tff(19838,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB57, 1) <=> v124(constB57, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 1) <=> v124(constB57, 1)))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19837, 19833])).
% 218.38/140.95 tff(19839,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB57, 1) <=> v124(constB57, 1)))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19840,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB57, B) <=> v124(constB57, B)))) | (v121(constB57, 1) <=> v124(constB57, 1))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19839, 19838])).
% 218.38/140.95 tff(19841,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19840, 16109, 19832])).
% 218.38/140.95 tff(19842,plain,(v121(constB57, 1) <=> v124(constB57, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19843,plain,
% 218.38/140.95 ((~(v121(constB57, 1) <=> v124(constB57, 1))) | v121(constB57, 1) | (~v124(constB57, 1))),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19844,plain,
% 218.38/140.95 (v121(constB57, 1) | (~v124(constB57, 1))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19843, 19842])).
% 218.38/140.95 tff(19845,plain,
% 218.38/140.95 (~v124(constB57, 1)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19844, 19831])).
% 218.38/140.95 tff(19846,plain,
% 218.38/140.95 ((~(v124(constB57, 1) <=> b011(1))) | v124(constB57, 1) | (~b011(1))),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19847,plain,
% 218.38/140.95 (~(v124(constB57, 1) <=> b011(1))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19846, 2593, 19845])).
% 218.38/140.95 tff(19848,plain,
% 218.38/140.95 ((~v115(constB57)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[16125, 2144])).
% 218.38/140.95 tff(19849,plain,
% 218.38/140.95 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19848, 16119])).
% 218.38/140.95 tff(19850,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 1) <=> b011(1)))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19851,plain,
% 218.38/140.95 (($false | $false | (v124(constB57, 1) <=> b011(1))) <=> (v124(constB57, 1) <=> b011(1))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19852,plain,
% 218.38/140.95 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB57, 1) <=> b011(1))) <=> ($false | $false | (v124(constB57, 1) <=> b011(1)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.95 tff(19853,plain,
% 218.38/140.95 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB57, 1) <=> b011(1))) <=> (v124(constB57, 1) <=> b011(1))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19852, 19851])).
% 218.38/140.95 tff(19854,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB57, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 1) <=> b011(1)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19853])).
% 218.38/140.95 tff(19855,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB57, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 1) <=> b011(1)))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19854, 19850])).
% 218.38/140.95 tff(19856,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB57, 1) <=> b011(1)))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19857,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB57, B) <=> b011(B)))) | (v124(constB57, 1) <=> b011(1))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19856, 19855])).
% 218.38/140.95 tff(19858,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19857, 19849, 19847])).
% 218.38/140.95 tff(19859,plain,((~v115(constB57)) | (~(v84(constB58, 1) <=> v123(constB58, 1))) | (~v84(constB59, 0)) | (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19860,plain,
% 218.38/140.95 (~v84(constB59, 0)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19859, 16119, 19761, 6595])).
% 218.38/140.95 tff(19861,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[16303, 19860, 19760])).
% 218.38/140.95 tff(19862,plain,((~v115(constB57)) | (~(v84(constB58, 1) <=> v123(constB58, 1))) | (~((~v84(constB59, 1)) | v84(constB59, 2) | (~v84(constB59, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19863,plain,
% 218.38/140.95 (~v115(constB57)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19862, 19759, 19227])).
% 218.38/140.95 tff(19864,plain,
% 218.38/140.95 (v115(constB57) | (v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[15354, 15344])).
% 218.38/140.95 tff(19865,plain,
% 218.38/140.95 (v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19864, 19863])).
% 218.38/140.95 tff(19866,assumption,(v84(constB56, 2) <=> v123(constB56, 2)), introduced(assumption)).
% 218.38/140.95 tff(19867,plain,
% 218.38/140.95 (~v84(constB56, 0)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19180, 19134])).
% 218.38/140.95 tff(19868,plain,
% 218.38/140.95 (v84(constB56, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[15970, 19867, 15380])).
% 218.38/140.95 tff(19869,plain,
% 218.38/140.95 ((~(v84(constB56, 2) <=> v123(constB56, 2))) | (~v84(constB56, 2)) | v123(constB56, 2)),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19870,plain,
% 218.38/140.95 (v123(constB56, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19869, 19868, 19866])).
% 218.38/140.95 tff(19871,assumption,(~(v123(constB56, 2) <=> v121(constB55, 2))), introduced(assumption)).
% 218.38/140.95 tff(19872,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[15644, 15501, 19871])).
% 218.38/140.95 tff(19873,plain,(v123(constB56, 2) <=> v121(constB55, 2)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19874,plain,
% 218.38/140.95 ((~(v123(constB56, 2) <=> v121(constB55, 2))) | (~v123(constB56, 2)) | v121(constB55, 2)),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19875,plain,
% 218.38/140.95 ((~v123(constB56, 2)) | v121(constB55, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19874, 19873])).
% 218.38/140.95 tff(19876,plain,
% 218.38/140.95 (v121(constB55, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19875, 19870])).
% 218.38/140.95 tff(19877,assumption,(~(v121(constB55, 2) <=> v124(constB55, 2))), introduced(assumption)).
% 218.38/140.95 tff(19878,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[15635, 15482, 19877])).
% 218.38/140.95 tff(19879,plain,(v121(constB55, 2) <=> v124(constB55, 2)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19880,plain,
% 218.38/140.95 ((~(v121(constB55, 2) <=> v124(constB55, 2))) | (~v121(constB55, 2)) | v124(constB55, 2)),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19881,plain,
% 218.38/140.95 ((~v121(constB55, 2)) | v124(constB55, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19880, 19879])).
% 218.38/140.95 tff(19882,plain,
% 218.38/140.95 (v124(constB55, 2)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19881, 19876])).
% 218.38/140.95 tff(19883,plain,
% 218.38/140.95 ((~(v124(constB55, 2) <=> b010(2))) | (~v124(constB55, 2)) | b010(2)),
% 218.38/140.95 inference(tautology,[status(thm)],[])).
% 218.38/140.95 tff(19884,plain,
% 218.38/140.95 (~(v124(constB55, 2) <=> b010(2))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19883, 2485, 19882])).
% 218.38/140.95 tff(19885,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 2) <=> b010(2)))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19886,plain,
% 218.38/140.95 (($false | $false | (v124(constB55, 2) <=> b010(2))) <=> (v124(constB55, 2) <=> b010(2))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19887,plain,
% 218.38/140.95 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB55, 2) <=> b010(2))) <=> ($false | $false | (v124(constB55, 2) <=> b010(2)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.95 tff(19888,plain,
% 218.38/140.95 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB55, 2) <=> b010(2))) <=> (v124(constB55, 2) <=> b010(2))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19887, 19886])).
% 218.38/140.95 tff(19889,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB55, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 2) <=> b010(2)))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19888])).
% 218.38/140.95 tff(19890,plain,
% 218.38/140.95 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB55, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 2) <=> b010(2)))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19889, 19885])).
% 218.38/140.95 tff(19891,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB55, 2) <=> b010(2)))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19892,plain,
% 218.38/140.95 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB55, B) <=> b010(B)))) | (v124(constB55, 2) <=> b010(2))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19891, 19890])).
% 218.38/140.95 tff(19893,plain,
% 218.38/140.95 ($false),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19892, 19135, 19884])).
% 218.38/140.95 tff(19894,plain,((~v114(constB55)) | (~(v84(constB56, 2) <=> v123(constB56, 2))) | (~(v84(constB57, 0) | (~v84(constB57, 1)) | v84(constB57, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.95 tff(19895,plain,
% 218.38/140.95 (~v114(constB55)),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19894, 19865, 19205])).
% 218.38/140.95 tff(19896,plain,
% 218.38/140.95 (v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))),
% 218.38/140.95 inference(unit_resolution,[status(thm)],[19183, 19895])).
% 218.38/140.95 tff(19897,plain,
% 218.38/140.95 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B))))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19898,plain,
% 218.38/140.95 (((~v94(constB50)) | ![B: $int] : ((v84(constB50, B) <=> v123(constB50, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B))))),
% 218.38/140.95 inference(rewrite,[status(thm)],[])).
% 218.38/140.95 tff(19899,plain,
% 218.38/140.95 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB50)) | ![B: $int] : ((v84(constB50, B) <=> v123(constB50, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))))),
% 218.38/140.95 inference(monotonicity,[status(thm)],[19898])).
% 218.38/140.95 tff(19900,plain,
% 218.38/140.95 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB50)) | ![B: $int] : ((v84(constB50, B) <=> v123(constB50, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B))))),
% 218.38/140.95 inference(transitivity,[status(thm)],[19899, 19897])).
% 218.38/140.95 tff(19901,plain,
% 218.38/140.95 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB50)) | ![B: $int] : ((v84(constB50, B) <=> v123(constB50, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.95 inference(quant_inst,[status(thm)],[])).
% 218.38/140.95 tff(19902,plain,
% 218.38/140.95 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))),
% 218.38/140.95 inference(modus_ponens,[status(thm)],[19901, 19900])).
% 218.38/140.95 tff(19903,plain,
% 218.38/140.95 ((~v94(constB50)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19902, 1491])).
% 218.38/140.96 tff(19904,plain,
% 218.38/140.96 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19903, 18371])).
% 218.38/140.96 tff(19905,assumption,(~(v84(constB50, 2) <=> v123(constB50, 2))), introduced(assumption)).
% 218.38/140.96 tff(19906,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))), introduced(assumption)).
% 218.38/140.96 tff(19907,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))) | (v84(constB50, 2) <=> v123(constB50, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))) | (v84(constB50, 2) <=> v123(constB50, 2)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19908,plain,
% 218.38/140.96 (($false | $false | (v84(constB50, 2) <=> v123(constB50, 2))) <=> (v84(constB50, 2) <=> v123(constB50, 2))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19909,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB50, 2) <=> v123(constB50, 2))) <=> ($false | $false | (v84(constB50, 2) <=> v123(constB50, 2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.96 tff(19910,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB50, 2) <=> v123(constB50, 2))) <=> (v84(constB50, 2) <=> v123(constB50, 2))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19909, 19908])).
% 218.38/140.96 tff(19911,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB50, 2) <=> v123(constB50, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))) | (v84(constB50, 2) <=> v123(constB50, 2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[19910])).
% 218.38/140.96 tff(19912,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB50, 2) <=> v123(constB50, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))) | (v84(constB50, 2) <=> v123(constB50, 2)))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19911, 19907])).
% 218.38/140.96 tff(19913,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB50, 2) <=> v123(constB50, 2)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(19914,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B)))) | (v84(constB50, 2) <=> v123(constB50, 2))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[19913, 19912])).
% 218.38/140.96 tff(19915,plain,
% 218.38/140.96 ($false),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19914, 19906, 19905])).
% 218.38/140.96 tff(19916,plain,((v84(constB50, 2) <=> v123(constB50, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB50, B) <=> v123(constB50, B))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.96 tff(19917,plain,
% 218.38/140.96 (v84(constB50, 2) <=> v123(constB50, 2)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19916, 19904])).
% 218.38/140.96 tff(19918,assumption,(~(v84(constB54, 2) <=> v123(constB54, 2))), introduced(assumption)).
% 218.38/140.96 tff(19919,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 2) <=> v123(constB54, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 2) <=> v123(constB54, 2)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19920,plain,
% 218.38/140.96 (($false | $false | (v84(constB54, 2) <=> v123(constB54, 2))) <=> (v84(constB54, 2) <=> v123(constB54, 2))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19921,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB54, 2) <=> v123(constB54, 2))) <=> ($false | $false | (v84(constB54, 2) <=> v123(constB54, 2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.96 tff(19922,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB54, 2) <=> v123(constB54, 2))) <=> (v84(constB54, 2) <=> v123(constB54, 2))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19921, 19920])).
% 218.38/140.96 tff(19923,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB54, 2) <=> v123(constB54, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 2) <=> v123(constB54, 2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[19922])).
% 218.38/140.96 tff(19924,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB54, 2) <=> v123(constB54, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 2) <=> v123(constB54, 2)))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19923, 19919])).
% 218.38/140.96 tff(19925,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB54, 2) <=> v123(constB54, 2)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(19926,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B)))) | (v84(constB54, 2) <=> v123(constB54, 2))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[19925, 19924])).
% 218.38/140.96 tff(19927,plain,
% 218.38/140.96 ($false),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19926, 19111, 19918])).
% 218.38/140.96 tff(19928,plain,((v84(constB54, 2) <=> v123(constB54, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB54, B) <=> v123(constB54, B))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.96 tff(19929,plain,
% 218.38/140.96 (v84(constB54, 2) <=> v123(constB54, 2)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19928, 19109])).
% 218.38/140.96 tff(19930,plain,
% 218.38/140.96 (~((~v95(constB56)) | (~v104(constB56)))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[18262, 19200])).
% 218.38/140.96 tff(19931,plain,
% 218.38/140.96 (v104(constB56)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[18259, 19930])).
% 218.38/140.96 tff(19932,plain,
% 218.38/140.96 (v102(constB55)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[18257, 19931])).
% 218.38/140.96 tff(19933,plain,
% 218.38/140.96 (v105(constB55) | v106(constB55)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[18254, 19932])).
% 218.38/140.96 tff(19934,plain,
% 218.38/140.96 (v106(constB55)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[18251, 19933])).
% 218.38/140.96 tff(19935,plain,
% 218.38/140.96 (~((~v107(constB55)) | (~v120(constB55)))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[18248, 19934])).
% 218.38/140.96 tff(19936,plain,
% 218.38/140.96 (v107(constB55)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[18245, 19935])).
% 218.38/140.96 tff(19937,plain,
% 218.38/140.96 ((~(v107(constB55) <=> (v108(constB55) | v119(constB55)))) | (v108(constB55) | v119(constB55))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[18243, 19936])).
% 218.38/140.96 tff(19938,plain,
% 218.38/140.96 (v108(constB55) | v119(constB55)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19937, 15882])).
% 218.38/140.96 tff(19939,assumption,(~(v84(constB62, 2) <=> v123(constB62, 2))), introduced(assumption)).
% 218.38/140.96 tff(19940,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 2) <=> v123(constB62, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 2) <=> v123(constB62, 2)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19941,plain,
% 218.38/140.96 (($false | $false | (v84(constB62, 2) <=> v123(constB62, 2))) <=> (v84(constB62, 2) <=> v123(constB62, 2))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19942,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB62, 2) <=> v123(constB62, 2))) <=> ($false | $false | (v84(constB62, 2) <=> v123(constB62, 2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.96 tff(19943,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB62, 2) <=> v123(constB62, 2))) <=> (v84(constB62, 2) <=> v123(constB62, 2))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19942, 19941])).
% 218.38/140.96 tff(19944,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB62, 2) <=> v123(constB62, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 2) <=> v123(constB62, 2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[19943])).
% 218.38/140.96 tff(19945,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB62, 2) <=> v123(constB62, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 2) <=> v123(constB62, 2)))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19944, 19940])).
% 218.38/140.96 tff(19946,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB62, 2) <=> v123(constB62, 2)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(19947,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B)))) | (v84(constB62, 2) <=> v123(constB62, 2))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[19946, 19945])).
% 218.38/140.96 tff(19948,plain,
% 218.38/140.96 ($false),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19947, 8132, 19939])).
% 218.38/140.96 tff(19949,plain,((v84(constB62, 2) <=> v123(constB62, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB62, B) <=> v123(constB62, B))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.96 tff(19950,plain,
% 218.38/140.96 (v84(constB62, 2) <=> v123(constB62, 2)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19949, 19242])).
% 218.38/140.96 tff(19951,assumption,(~(v84(constB63, 2) <=> v84(constB62, 2))), introduced(assumption)).
% 218.38/140.96 tff(19952,plain,
% 218.38/140.96 ($false),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[6850, 6350, 19951])).
% 218.38/140.96 tff(19953,plain,(v84(constB63, 2) <=> v84(constB62, 2)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.96 tff(19954,plain,
% 218.38/140.96 ((~(v84(constB63, 2) <=> v84(constB62, 2))) | (~v84(constB63, 2)) | v84(constB62, 2)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(19955,plain,
% 218.38/140.96 ((~v84(constB63, 2)) | v84(constB62, 2)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19954, 19953])).
% 218.38/140.96 tff(19956,plain,
% 218.38/140.96 (v84(constB62, 2)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19955, 19283])).
% 218.38/140.96 tff(19957,plain,
% 218.38/140.96 ((~(v84(constB62, 2) <=> v123(constB62, 2))) | (~v84(constB62, 2)) | v123(constB62, 2)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(19958,plain,
% 218.38/140.96 (v123(constB62, 2)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19957, 19956, 19950])).
% 218.38/140.96 tff(19959,assumption,(~(v123(constB62, 2) <=> v121(constB61, 2))), introduced(assumption)).
% 218.38/140.96 tff(19960,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 2) <=> v121(constB61, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 2) <=> v121(constB61, 2)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19961,plain,
% 218.38/140.96 (($false | $false | (v123(constB62, 2) <=> v121(constB61, 2))) <=> (v123(constB62, 2) <=> v121(constB61, 2))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19962,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB62, 2) <=> v121(constB61, 2))) <=> ($false | $false | (v123(constB62, 2) <=> v121(constB61, 2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.96 tff(19963,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB62, 2) <=> v121(constB61, 2))) <=> (v123(constB62, 2) <=> v121(constB61, 2))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19962, 19961])).
% 218.38/140.96 tff(19964,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB62, 2) <=> v121(constB61, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 2) <=> v121(constB61, 2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[19963])).
% 218.38/140.96 tff(19965,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB62, 2) <=> v121(constB61, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 2) <=> v121(constB61, 2)))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19964, 19960])).
% 218.38/140.96 tff(19966,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB62, 2) <=> v121(constB61, 2)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(19967,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB62, B) <=> v121(constB61, B)))) | (v123(constB62, 2) <=> v121(constB61, 2))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[19966, 19965])).
% 218.38/140.96 tff(19968,plain,
% 218.38/140.96 ($false),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19967, 19458, 19959])).
% 218.38/140.96 tff(19969,plain,(v123(constB62, 2) <=> v121(constB61, 2)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.96 tff(19970,plain,
% 218.38/140.96 ((~(v123(constB62, 2) <=> v121(constB61, 2))) | (~v123(constB62, 2)) | v121(constB61, 2)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(19971,plain,
% 218.38/140.96 ((~v123(constB62, 2)) | v121(constB61, 2)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19970, 19969])).
% 218.38/140.96 tff(19972,plain,
% 218.38/140.96 (v121(constB61, 2)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19971, 19958])).
% 218.38/140.96 tff(19973,assumption,(~(v121(constB61, 2) <=> v124(constB61, 2))), introduced(assumption)).
% 218.38/140.96 tff(19974,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 2) <=> v124(constB61, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 2) <=> v124(constB61, 2)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19975,plain,
% 218.38/140.96 (($false | $false | (v121(constB61, 2) <=> v124(constB61, 2))) <=> (v121(constB61, 2) <=> v124(constB61, 2))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19976,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB61, 2) <=> v124(constB61, 2))) <=> ($false | $false | (v121(constB61, 2) <=> v124(constB61, 2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.96 tff(19977,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB61, 2) <=> v124(constB61, 2))) <=> (v121(constB61, 2) <=> v124(constB61, 2))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19976, 19975])).
% 218.38/140.96 tff(19978,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB61, 2) <=> v124(constB61, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 2) <=> v124(constB61, 2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[19977])).
% 218.38/140.96 tff(19979,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB61, 2) <=> v124(constB61, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 2) <=> v124(constB61, 2)))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19978, 19974])).
% 218.38/140.96 tff(19980,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB61, 2) <=> v124(constB61, 2)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(19981,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB61, B) <=> v124(constB61, B)))) | (v121(constB61, 2) <=> v124(constB61, 2))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[19980, 19979])).
% 218.38/140.96 tff(19982,plain,
% 218.38/140.96 ($false),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19981, 19479, 19973])).
% 218.38/140.96 tff(19983,plain,(v121(constB61, 2) <=> v124(constB61, 2)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.96 tff(19984,plain,
% 218.38/140.96 ((~(v121(constB61, 2) <=> v124(constB61, 2))) | (~v121(constB61, 2)) | v124(constB61, 2)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(19985,plain,
% 218.38/140.96 ((~v121(constB61, 2)) | v124(constB61, 2)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19984, 19983])).
% 218.38/140.96 tff(19986,plain,
% 218.38/140.96 (v124(constB61, 2)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19985, 19972])).
% 218.38/140.96 tff(19987,assumption,(v124(constB61, 2)), introduced(assumption)).
% 218.38/140.96 tff(19988,plain,
% 218.38/140.96 ((~(v124(constB61, 2) <=> b011(2))) | (~v124(constB61, 2)) | b011(2)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(19989,plain,
% 218.38/140.96 (~(v124(constB61, 2) <=> b011(2))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19988, 2569, 19987])).
% 218.38/140.96 tff(19990,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | (v124(constB61, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | (v124(constB61, 2) <=> b011(2)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19991,plain,
% 218.38/140.96 (($false | $false | (v124(constB61, 2) <=> b011(2))) <=> (v124(constB61, 2) <=> b011(2))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(19992,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB61, 2) <=> b011(2))) <=> ($false | $false | (v124(constB61, 2) <=> b011(2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.96 tff(19993,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB61, 2) <=> b011(2))) <=> (v124(constB61, 2) <=> b011(2))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19992, 19991])).
% 218.38/140.96 tff(19994,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB61, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | (v124(constB61, 2) <=> b011(2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[19993])).
% 218.38/140.96 tff(19995,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB61, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | (v124(constB61, 2) <=> b011(2)))),
% 218.38/140.96 inference(transitivity,[status(thm)],[19994, 19990])).
% 218.38/140.96 tff(19996,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB61, 2) <=> b011(2)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(19997,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | (v124(constB61, 2) <=> b011(2))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[19996, 19995])).
% 218.38/140.96 tff(19998,plain,
% 218.38/140.96 ($false),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19997, 19565, 19989])).
% 218.38/140.96 tff(19999,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))) | (~v124(constB61, 2))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.96 tff(20000,plain,
% 218.38/140.96 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b011(B)))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19999, 19986])).
% 218.38/140.96 tff(20001,plain,
% 218.38/140.96 (~v115(constB61)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19586, 20000])).
% 218.38/140.96 tff(20002,plain,
% 218.38/140.96 ((~(v124(constB61, 2) <=> b001(2))) | (~v124(constB61, 2)) | b001(2)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20003,plain,
% 218.38/140.96 (~(v124(constB61, 2) <=> b001(2))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20002, 1831, 19987])).
% 218.38/140.96 tff(20004,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | (v124(constB61, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | (v124(constB61, 2) <=> b001(2)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20005,plain,
% 218.38/140.96 (($false | $false | (v124(constB61, 2) <=> b001(2))) <=> (v124(constB61, 2) <=> b001(2))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20006,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB61, 2) <=> b001(2))) <=> ($false | $false | (v124(constB61, 2) <=> b001(2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.96 tff(20007,plain,
% 218.38/140.96 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB61, 2) <=> b001(2))) <=> (v124(constB61, 2) <=> b001(2))),
% 218.38/140.96 inference(transitivity,[status(thm)],[20006, 20005])).
% 218.38/140.96 tff(20008,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB61, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | (v124(constB61, 2) <=> b001(2)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[20007])).
% 218.38/140.96 tff(20009,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB61, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | (v124(constB61, 2) <=> b001(2)))),
% 218.38/140.96 inference(transitivity,[status(thm)],[20008, 20004])).
% 218.38/140.96 tff(20010,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB61, 2) <=> b001(2)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20011,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | (v124(constB61, 2) <=> b001(2))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20010, 20009])).
% 218.38/140.96 tff(20012,plain,
% 218.38/140.96 ($false),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20011, 19694, 20003])).
% 218.38/140.96 tff(20013,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))) | (~v124(constB61, 2))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.96 tff(20014,plain,
% 218.38/140.96 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB61, B) <=> b001(B)))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20013, 19986])).
% 218.38/140.96 tff(20015,plain,
% 218.38/140.96 (v116(constB61)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19690, 19556, 20014, 20001, 19492])).
% 218.38/140.96 tff(20016,plain,
% 218.38/140.96 (~((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[19645, 20015])).
% 218.38/140.96 tff(20017,plain,
% 218.38/140.96 (((~v84(constB61, 0)) | (~v84(constB61, 1)) | v84(constB61, 2)) | v84(constB61, 0)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20018,plain,
% 218.38/140.96 (v84(constB61, 0)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20017, 20016])).
% 218.38/140.96 tff(20019,plain,
% 218.38/140.96 ((~v84(constB61, 0)) | v84(constB60, 0)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[7867, 19731])).
% 218.38/140.96 tff(20020,plain,
% 218.38/140.96 (v84(constB60, 0)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20019, 20018])).
% 218.38/140.96 tff(20021,assumption,(~v124(constB11, 1)), introduced(assumption)).
% 218.38/140.96 tff(20022,assumption,(~(v121(constB11, 1) <=> v124(constB11, 1))), introduced(assumption)).
% 218.38/140.96 tff(20023,plain,
% 218.38/140.96 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB11) <=> v26(constB11))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20024,plain,
% 218.38/140.96 (v105(constB11) <=> v26(constB11)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20023, 156])).
% 218.38/140.96 tff(20025,plain,
% 218.38/140.96 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20026,plain,
% 218.38/140.96 (~v26(constB11)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20025, 168])).
% 218.38/140.96 tff(20027,plain,
% 218.38/140.96 ((~(v105(constB11) <=> v26(constB11))) | (~v105(constB11)) | v26(constB11)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20028,plain,
% 218.38/140.96 ((~(v105(constB11) <=> v26(constB11))) | (~v105(constB11))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20027, 20026])).
% 218.38/140.96 tff(20029,plain,
% 218.38/140.96 (~v105(constB11)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20028, 20024])).
% 218.38/140.96 tff(20030,plain,
% 218.38/140.96 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B))))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20031,plain,
% 218.38/140.96 ((v105(constB11) | ![B: $int] : ((v121(constB11, B) <=> v124(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B))))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20032,plain,
% 218.38/140.96 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB11) | ![B: $int] : ((v121(constB11, B) <=> v124(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[20031])).
% 218.38/140.96 tff(20033,plain,
% 218.38/140.96 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB11) | ![B: $int] : ((v121(constB11, B) <=> v124(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B))))),
% 218.38/140.96 inference(transitivity,[status(thm)],[20032, 20030])).
% 218.38/140.96 tff(20034,plain,
% 218.38/140.96 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB11) | ![B: $int] : ((v121(constB11, B) <=> v124(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20035,plain,
% 218.38/140.96 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20034, 20033])).
% 218.38/140.96 tff(20036,plain,
% 218.38/140.96 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20035, 1562, 20029])).
% 218.38/140.96 tff(20037,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 1) <=> v124(constB11, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 1) <=> v124(constB11, 1)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20038,plain,
% 218.38/140.96 (($false | $false | (v121(constB11, 1) <=> v124(constB11, 1))) <=> (v121(constB11, 1) <=> v124(constB11, 1))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20039,plain,
% 218.38/140.96 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB11, 1) <=> v124(constB11, 1))) <=> ($false | $false | (v121(constB11, 1) <=> v124(constB11, 1)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.96 tff(20040,plain,
% 218.38/140.96 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB11, 1) <=> v124(constB11, 1))) <=> (v121(constB11, 1) <=> v124(constB11, 1))),
% 218.38/140.96 inference(transitivity,[status(thm)],[20039, 20038])).
% 218.38/140.96 tff(20041,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB11, 1) <=> v124(constB11, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 1) <=> v124(constB11, 1)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[20040])).
% 218.38/140.96 tff(20042,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB11, 1) <=> v124(constB11, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 1) <=> v124(constB11, 1)))),
% 218.38/140.96 inference(transitivity,[status(thm)],[20041, 20037])).
% 218.38/140.96 tff(20043,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB11, 1) <=> v124(constB11, 1)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20044,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 1) <=> v124(constB11, 1))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20043, 20042])).
% 218.38/140.96 tff(20045,plain,
% 218.38/140.96 ($false),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20044, 20036, 20022])).
% 218.38/140.96 tff(20046,plain,(v121(constB11, 1) <=> v124(constB11, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.96 tff(20047,plain,
% 218.38/140.96 ((~(v121(constB11, 1) <=> v124(constB11, 1))) | (~v121(constB11, 1)) | v124(constB11, 1)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20048,plain,
% 218.38/140.96 ((~v121(constB11, 1)) | v124(constB11, 1)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20047, 20046])).
% 218.38/140.96 tff(20049,plain,
% 218.38/140.96 (~v121(constB11, 1)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20048, 20021])).
% 218.38/140.96 tff(20050,assumption,(~(v123(constB12, 1) <=> v121(constB11, 1))), introduced(assumption)).
% 218.38/140.96 tff(20051,plain,
% 218.38/140.96 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20052,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11')).
% 218.38/140.96 tff(20053,plain,
% 218.38/140.96 (nextState(constB11, constB12)),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20052, 20051])).
% 218.38/140.96 tff(20054,plain,
% 218.38/140.96 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B))))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20055,plain,
% 218.38/140.96 (((~nextState(constB11, constB12)) | ![B: $int] : ((v123(constB12, B) <=> v121(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B))))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20056,plain,
% 218.38/140.96 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB11, constB12)) | ![B: $int] : ((v123(constB12, B) <=> v121(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[20055])).
% 218.38/140.96 tff(20057,plain,
% 218.38/140.96 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB11, constB12)) | ![B: $int] : ((v123(constB12, B) <=> v121(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B))))),
% 218.38/140.96 inference(transitivity,[status(thm)],[20056, 20054])).
% 218.38/140.96 tff(20058,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB11, constB12)) | ![B: $int] : ((v123(constB12, B) <=> v121(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20059,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20058, 20057])).
% 218.38/140.96 tff(20060,plain,
% 218.38/140.96 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20059, 20053, 1527])).
% 218.38/140.96 tff(20061,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 1) <=> v121(constB11, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 1) <=> v121(constB11, 1)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20062,plain,
% 218.38/140.96 (($false | $false | (v123(constB12, 1) <=> v121(constB11, 1))) <=> (v123(constB12, 1) <=> v121(constB11, 1))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20063,plain,
% 218.38/140.96 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB12, 1) <=> v121(constB11, 1))) <=> ($false | $false | (v123(constB12, 1) <=> v121(constB11, 1)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.96 tff(20064,plain,
% 218.38/140.96 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB12, 1) <=> v121(constB11, 1))) <=> (v123(constB12, 1) <=> v121(constB11, 1))),
% 218.38/140.96 inference(transitivity,[status(thm)],[20063, 20062])).
% 218.38/140.96 tff(20065,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB12, 1) <=> v121(constB11, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 1) <=> v121(constB11, 1)))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[20064])).
% 218.38/140.96 tff(20066,plain,
% 218.38/140.96 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB12, 1) <=> v121(constB11, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 1) <=> v121(constB11, 1)))),
% 218.38/140.96 inference(transitivity,[status(thm)],[20065, 20061])).
% 218.38/140.96 tff(20067,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB12, 1) <=> v121(constB11, 1)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20068,plain,
% 218.38/140.96 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 1) <=> v121(constB11, 1))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20067, 20066])).
% 218.38/140.96 tff(20069,plain,
% 218.38/140.96 ($false),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20068, 20060, 20050])).
% 218.38/140.96 tff(20070,plain,(v123(constB12, 1) <=> v121(constB11, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.96 tff(20071,plain,
% 218.38/140.96 ((~(v123(constB12, 1) <=> v121(constB11, 1))) | (~v123(constB12, 1)) | v121(constB11, 1)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20072,plain,
% 218.38/140.96 ((~v123(constB12, 1)) | v121(constB11, 1)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20071, 20070])).
% 218.38/140.96 tff(20073,plain,
% 218.38/140.96 (~v123(constB12, 1)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20072, 20049])).
% 218.38/140.96 tff(20074,assumption,(~v84(constB12, 2)), introduced(assumption)).
% 218.38/140.96 tff(20075,assumption,(~v94(constB12)), introduced(assumption)).
% 218.38/140.96 tff(20076,plain,
% 218.38/140.96 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12))))))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20077,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12))))))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20078,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12)))))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20077, 20076])).
% 218.38/140.96 tff(20079,plain,
% 218.38/140.96 (v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12))))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20078, 20053, 14])).
% 218.38/140.96 tff(20080,plain,
% 218.38/140.96 ((~(v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12)))))) | v94(constB12) | ((~v95(constB12)) | (~v104(constB12)))),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20081,plain,
% 218.38/140.96 (v94(constB12) | ((~v95(constB12)) | (~v104(constB12)))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20080, 20079])).
% 218.38/140.96 tff(20082,plain,
% 218.38/140.96 ((~v95(constB12)) | (~v104(constB12))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20081, 20075])).
% 218.38/140.96 tff(20083,plain,
% 218.38/140.96 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20084,plain,
% 218.38/140.96 (((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12)))))) <=> ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20085,plain,
% 218.38/140.96 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12)))))))),
% 218.38/140.96 inference(monotonicity,[status(thm)],[20084])).
% 218.38/140.96 tff(20086,plain,
% 218.38/140.96 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))),
% 218.38/140.96 inference(transitivity,[status(thm)],[20085, 20083])).
% 218.38/140.96 tff(20087,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12))))))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20088,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12)))))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20087, 20086])).
% 218.38/140.96 tff(20089,plain,
% 218.38/140.96 (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20088, 20053, 37])).
% 218.38/140.96 tff(20090,plain,
% 218.38/140.96 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20091,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20092,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20091, 20090])).
% 218.38/140.96 tff(20093,plain,
% 218.38/140.96 ((~v96(constB12)) <=> v98(constB12)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20092, 20053, 54])).
% 218.38/140.96 tff(20094,plain,
% 218.38/140.96 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20095,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20096,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20095, 20094])).
% 218.38/140.96 tff(20097,plain,
% 218.38/140.96 (v98(constB12) <=> v1(constB11)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20096, 20053, 68])).
% 218.38/140.96 tff(20098,plain,
% 218.38/140.96 ((~v1(constB11)) <=> (~v1(constB11))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20099,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11')).
% 218.38/140.96 tff(20100,plain,
% 218.38/140.96 (~v1(constB11)),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20099, 20098])).
% 218.38/140.96 tff(20101,plain,
% 218.38/140.96 ((~(v98(constB12) <=> v1(constB11))) | (~v98(constB12)) | v1(constB11)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20102,plain,
% 218.38/140.96 ((~(v98(constB12) <=> v1(constB11))) | (~v98(constB12))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20101, 20100])).
% 218.38/140.96 tff(20103,plain,
% 218.38/140.96 (~v98(constB12)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20102, 20097])).
% 218.38/140.96 tff(20104,plain,
% 218.38/140.96 ((~((~v96(constB12)) <=> v98(constB12))) | v96(constB12) | v98(constB12)),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20105,plain,
% 218.38/140.96 (v96(constB12)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20104, 20103, 20093])).
% 218.38/140.96 tff(20106,plain,
% 218.38/140.96 (v1(constB12) <=> v1(constB12)),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20107,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12')).
% 218.38/140.96 tff(20108,plain,
% 218.38/140.96 (v1(constB12)),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20107, 20106])).
% 218.38/140.96 tff(20109,plain,
% 218.38/140.96 ((~((~v1(constB12)) | (~v96(constB12)))) | (~v1(constB12)) | (~v96(constB12))),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20110,plain,
% 218.38/140.96 ((~((~v1(constB12)) | (~v96(constB12)))) | (~v96(constB12))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20109, 20108])).
% 218.38/140.96 tff(20111,plain,
% 218.38/140.96 (~((~v1(constB12)) | (~v96(constB12)))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20110, 20105])).
% 218.38/140.96 tff(20112,plain,
% 218.38/140.96 ((~(v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12)))))) | v95(constB12) | ((~v1(constB12)) | (~v96(constB12)))),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20113,plain,
% 218.38/140.96 (v95(constB12)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20112, 20111, 20089])).
% 218.38/140.96 tff(20114,plain,
% 218.38/140.96 ((~((~v95(constB12)) | (~v104(constB12)))) | (~v95(constB12)) | (~v104(constB12))),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20115,plain,
% 218.38/140.96 ((~((~v95(constB12)) | (~v104(constB12)))) | (~v104(constB12))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20114, 20113])).
% 218.38/140.96 tff(20116,plain,
% 218.38/140.96 (~v104(constB12)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20115, 20082])).
% 218.38/140.96 tff(20117,assumption,(~v84(constB12, 1)), introduced(assumption)).
% 218.38/140.96 tff(20118,plain,
% 218.38/140.96 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11)))),
% 218.38/140.96 inference(rewrite,[status(thm)],[])).
% 218.38/140.96 tff(20119,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20120,plain,
% 218.38/140.96 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11))),
% 218.38/140.96 inference(modus_ponens,[status(thm)],[20119, 20118])).
% 218.38/140.96 tff(20121,plain,
% 218.38/140.96 (v104(constB12) <=> v102(constB11)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20120, 20053, 101])).
% 218.38/140.96 tff(20122,plain,
% 218.38/140.96 ((~(v104(constB12) <=> v102(constB11))) | v104(constB12) | (~v102(constB11))),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20123,plain,
% 218.38/140.96 (v104(constB12) | (~v102(constB11))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20122, 20121])).
% 218.38/140.96 tff(20124,plain,
% 218.38/140.96 (~v102(constB11)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20123, 20116])).
% 218.38/140.96 tff(20125,plain,
% 218.38/140.96 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB11) <=> (v105(constB11) | v106(constB11)))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20126,plain,
% 218.38/140.96 (v102(constB11) <=> (v105(constB11) | v106(constB11))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20125, 115])).
% 218.38/140.96 tff(20127,plain,
% 218.38/140.96 ((~(v102(constB11) <=> (v105(constB11) | v106(constB11)))) | v102(constB11) | (~(v105(constB11) | v106(constB11)))),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20128,plain,
% 218.38/140.96 (v102(constB11) | (~(v105(constB11) | v106(constB11)))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20127, 20126])).
% 218.38/140.96 tff(20129,plain,
% 218.38/140.96 (~(v105(constB11) | v106(constB11))),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20128, 20124])).
% 218.38/140.96 tff(20130,plain,
% 218.38/140.96 ((v105(constB11) | v106(constB11)) | (~v106(constB11))),
% 218.38/140.96 inference(tautology,[status(thm)],[])).
% 218.38/140.96 tff(20131,plain,
% 218.38/140.96 (~v106(constB11)),
% 218.38/140.96 inference(unit_resolution,[status(thm)],[20130, 20129])).
% 218.38/140.96 tff(20132,plain,
% 218.38/140.96 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB11) <=> (~((~v107(constB11)) | (~v120(constB11)))))),
% 218.38/140.96 inference(quant_inst,[status(thm)],[])).
% 218.38/140.96 tff(20133,plain,
% 218.38/140.96 (v106(constB11) <=> (~((~v107(constB11)) | (~v120(constB11))))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20132, 132])).
% 218.38/140.97 tff(20134,plain,
% 218.38/140.97 ((~(v106(constB11) <=> (~((~v107(constB11)) | (~v120(constB11)))))) | v106(constB11) | ((~v107(constB11)) | (~v120(constB11)))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20135,plain,
% 218.38/140.97 (v106(constB11) | ((~v107(constB11)) | (~v120(constB11)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20134, 20133])).
% 218.38/140.97 tff(20136,plain,
% 218.38/140.97 ((~v107(constB11)) | (~v120(constB11))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20135, 20131])).
% 218.38/140.97 tff(20137,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB11)) <=> v105(constB11))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20138,plain,
% 218.38/140.97 ((~v120(constB11)) <=> v105(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20137, 144])).
% 218.38/140.97 tff(20139,plain,
% 218.38/140.97 ((~((~v120(constB11)) <=> v105(constB11))) | v120(constB11) | v105(constB11)),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20140,plain,
% 218.38/140.97 ((~((~v120(constB11)) <=> v105(constB11))) | v120(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20139, 20029])).
% 218.38/140.97 tff(20141,plain,
% 218.38/140.97 (v120(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20140, 20138])).
% 218.38/140.97 tff(20142,plain,
% 218.38/140.97 ((~((~v107(constB11)) | (~v120(constB11)))) | (~v107(constB11)) | (~v120(constB11))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20143,plain,
% 218.38/140.97 ((~((~v107(constB11)) | (~v120(constB11)))) | (~v107(constB11))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20142, 20141])).
% 218.38/140.97 tff(20144,plain,
% 218.38/140.97 (~v107(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20143, 20136])).
% 218.38/140.97 tff(20145,assumption,(~(v107(constB11) <=> (v108(constB11) | v119(constB11)))), introduced(assumption)).
% 218.38/140.97 tff(20146,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB11) <=> (v108(constB11) | v119(constB11)))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20147,plain,
% 218.38/140.97 ($false),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20146, 187, 20145])).
% 218.38/140.97 tff(20148,plain,(v107(constB11) <=> (v108(constB11) | v119(constB11))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.97 tff(20149,plain,
% 218.38/140.97 ((~(v107(constB11) <=> (v108(constB11) | v119(constB11)))) | v107(constB11) | (~(v108(constB11) | v119(constB11)))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20150,plain,
% 218.38/140.97 (v107(constB11) | (~(v108(constB11) | v119(constB11)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20149, 20148])).
% 218.38/140.97 tff(20151,plain,
% 218.38/140.97 (~(v108(constB11) | v119(constB11))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20150, 20144])).
% 218.38/140.97 tff(20152,plain,
% 218.38/140.97 ((v108(constB11) | v119(constB11)) | (~v108(constB11))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20153,plain,
% 218.38/140.97 (~v108(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20152, 20151])).
% 218.38/140.97 tff(20154,assumption,(~(v108(constB11) <=> (v109(constB11) | v118(constB11)))), introduced(assumption)).
% 218.38/140.97 tff(20155,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB11) <=> (v109(constB11) | v118(constB11)))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20156,plain,
% 218.38/140.97 ($false),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20155, 428, 20154])).
% 218.38/140.97 tff(20157,plain,(v108(constB11) <=> (v109(constB11) | v118(constB11))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.97 tff(20158,plain,
% 218.38/140.97 ((~(v108(constB11) <=> (v109(constB11) | v118(constB11)))) | v108(constB11) | (~(v109(constB11) | v118(constB11)))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20159,plain,
% 218.38/140.97 (v108(constB11) | (~(v109(constB11) | v118(constB11)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20158, 20157])).
% 218.38/140.97 tff(20160,plain,
% 218.38/140.97 (~(v109(constB11) | v118(constB11))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20159, 20153])).
% 218.38/140.97 tff(20161,plain,
% 218.38/140.97 ((v109(constB11) | v118(constB11)) | (~v109(constB11))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20162,plain,
% 218.38/140.97 (~v109(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20161, 20160])).
% 218.38/140.97 tff(20163,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB11) <=> (v112(constB11) | v115(constB11)))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20164,plain,
% 218.38/140.97 (v111(constB11) <=> (v112(constB11) | v115(constB11))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20163, 274])).
% 218.38/140.97 tff(20165,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB11) <=> (v113(constB11) | v114(constB11)))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20166,plain,
% 218.38/140.97 (v112(constB11) <=> (v113(constB11) | v114(constB11))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20165, 283])).
% 218.38/140.97 tff(20167,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20168,plain,
% 218.38/140.97 ((v114(constB11) <=> (~(v84(constB11, 1) | v84(constB11, 2) | (~v84(constB11, 0))))) <=> (v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20169,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB11) <=> (~(v84(constB11, 1) | v84(constB11, 2) | (~v84(constB11, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))))))),
% 218.38/140.97 inference(monotonicity,[status(thm)],[20168])).
% 218.38/140.97 tff(20170,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB11) <=> (~(v84(constB11, 1) | v84(constB11, 2) | (~v84(constB11, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))))))),
% 218.38/140.97 inference(transitivity,[status(thm)],[20169, 20167])).
% 218.38/140.97 tff(20171,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB11) <=> (~(v84(constB11, 1) | v84(constB11, 2) | (~v84(constB11, 0)))))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20172,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))))),
% 218.38/140.97 inference(modus_ponens,[status(thm)],[20171, 20170])).
% 218.38/140.97 tff(20173,plain,
% 218.38/140.97 (v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20172, 298])).
% 218.38/140.97 tff(20174,assumption,(~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))), introduced(assumption)).
% 218.38/140.97 tff(20175,plain,
% 218.38/140.97 ((~(v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))))) | v114(constB11) | (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20176,plain,
% 218.38/140.97 ((~(v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))))) | v114(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20175, 20174])).
% 218.38/140.97 tff(20177,plain,
% 218.38/140.97 (v114(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20176, 20173])).
% 218.38/140.97 tff(20178,plain,
% 218.38/140.97 ((v113(constB11) | v114(constB11)) | (~v114(constB11))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20179,plain,
% 218.38/140.97 (v113(constB11) | v114(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20178, 20177])).
% 218.38/140.97 tff(20180,plain,
% 218.38/140.97 ((~(v112(constB11) <=> (v113(constB11) | v114(constB11)))) | v112(constB11) | (~(v113(constB11) | v114(constB11)))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20181,plain,
% 218.38/140.97 ((~(v112(constB11) <=> (v113(constB11) | v114(constB11)))) | v112(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20180, 20179])).
% 218.38/140.97 tff(20182,plain,
% 218.38/140.97 (v112(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20181, 20166])).
% 218.38/140.97 tff(20183,plain,
% 218.38/140.97 ((v112(constB11) | v115(constB11)) | (~v112(constB11))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20184,plain,
% 218.38/140.97 (v112(constB11) | v115(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20183, 20182])).
% 218.38/140.97 tff(20185,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB11) <=> (v111(constB11) | v116(constB11)))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20186,plain,
% 218.38/140.97 (v110(constB11) <=> (v111(constB11) | v116(constB11))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20185, 265])).
% 218.38/140.97 tff(20187,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB11) <=> (v110(constB11) | v117(constB11)))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20188,plain,
% 218.38/140.97 (v109(constB11) <=> (v110(constB11) | v117(constB11))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20187, 456])).
% 218.38/140.97 tff(20189,assumption,(~v109(constB11)), introduced(assumption)).
% 218.38/140.97 tff(20190,plain,
% 218.38/140.97 ((~(v109(constB11) <=> (v110(constB11) | v117(constB11)))) | v109(constB11) | (~(v110(constB11) | v117(constB11)))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20191,plain,
% 218.38/140.97 ((~(v109(constB11) <=> (v110(constB11) | v117(constB11)))) | (~(v110(constB11) | v117(constB11)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20190, 20189])).
% 218.38/140.97 tff(20192,plain,
% 218.38/140.97 (~(v110(constB11) | v117(constB11))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20191, 20188])).
% 218.38/140.97 tff(20193,plain,
% 218.38/140.97 ((v110(constB11) | v117(constB11)) | (~v110(constB11))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20194,plain,
% 218.38/140.97 (~v110(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20193, 20192])).
% 218.38/140.97 tff(20195,plain,
% 218.38/140.97 ((~(v110(constB11) <=> (v111(constB11) | v116(constB11)))) | v110(constB11) | (~(v111(constB11) | v116(constB11)))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20196,plain,
% 218.38/140.97 ((~(v110(constB11) <=> (v111(constB11) | v116(constB11)))) | (~(v111(constB11) | v116(constB11)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20195, 20194])).
% 218.38/140.97 tff(20197,plain,
% 218.38/140.97 (~(v111(constB11) | v116(constB11))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20196, 20186])).
% 218.38/140.97 tff(20198,plain,
% 218.38/140.97 ((v111(constB11) | v116(constB11)) | (~v111(constB11))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20199,plain,
% 218.38/140.97 (~v111(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20198, 20197])).
% 218.38/140.97 tff(20200,plain,
% 218.38/140.97 ((~(v111(constB11) <=> (v112(constB11) | v115(constB11)))) | v111(constB11) | (~(v112(constB11) | v115(constB11)))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20201,plain,
% 218.38/140.97 ($false),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20200, 20199, 20184, 20164])).
% 218.38/140.97 tff(20202,plain,(v109(constB11) | (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.97 tff(20203,plain,
% 218.38/140.97 (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20202, 20162])).
% 218.38/140.97 tff(20204,assumption,(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))), introduced(assumption)).
% 218.38/140.97 tff(20205,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20206,plain,
% 218.38/140.97 ((v118(constB11) <=> (~(v84(constB11, 1) | (~v84(constB11, 0)) | (~v84(constB11, 2))))) <=> (v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20207,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB11) <=> (~(v84(constB11, 1) | (~v84(constB11, 0)) | (~v84(constB11, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))))))),
% 218.38/140.97 inference(monotonicity,[status(thm)],[20206])).
% 218.38/140.97 tff(20208,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB11) <=> (~(v84(constB11, 1) | (~v84(constB11, 0)) | (~v84(constB11, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))))))),
% 218.38/140.97 inference(transitivity,[status(thm)],[20207, 20205])).
% 218.38/140.97 tff(20209,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB11) <=> (~(v84(constB11, 1) | (~v84(constB11, 0)) | (~v84(constB11, 2)))))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20210,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))))),
% 218.38/140.97 inference(modus_ponens,[status(thm)],[20209, 20208])).
% 218.38/140.97 tff(20211,plain,
% 218.38/140.97 (v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20210, 394])).
% 218.38/140.97 tff(20212,plain,
% 218.38/140.97 (v123(constB12, 1) <=> v121(constB11, 1)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20068, 20060])).
% 218.38/140.97 tff(20213,assumption,(v118(constB11)), introduced(assumption)).
% 218.38/140.97 tff(20214,plain,
% 218.38/140.97 ((v109(constB11) | v118(constB11)) | (~v118(constB11))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20215,plain,
% 218.38/140.97 (v109(constB11) | v118(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20214, 20213])).
% 218.38/140.97 tff(20216,plain,
% 218.38/140.97 (v108(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20159, 20215])).
% 218.38/140.97 tff(20217,plain,
% 218.38/140.97 (v108(constB11) | v119(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20152, 20216])).
% 218.38/140.97 tff(20218,plain,
% 218.38/140.97 (v107(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20150, 20217])).
% 218.38/140.97 tff(20219,plain,
% 218.38/140.97 (~((~v107(constB11)) | (~v120(constB11)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20143, 20218])).
% 218.38/140.97 tff(20220,plain,
% 218.38/140.97 (v106(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20135, 20219])).
% 218.38/140.97 tff(20221,plain,
% 218.38/140.97 (v105(constB11) | v106(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20130, 20220])).
% 218.38/140.97 tff(20222,plain,
% 218.38/140.97 (v102(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20128, 20221])).
% 218.38/140.97 tff(20223,plain,
% 218.38/140.97 (v104(constB12)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20123, 20222])).
% 218.38/140.97 tff(20224,plain,
% 218.38/140.97 (~((~v95(constB12)) | (~v104(constB12)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20115, 20223])).
% 218.38/140.97 tff(20225,plain,
% 218.38/140.97 (v94(constB12)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20081, 20224])).
% 218.38/140.97 tff(20226,plain,
% 218.38/140.97 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20227,plain,
% 218.38/140.97 (((~v94(constB12)) | ![B: $int] : ((v84(constB12, B) <=> v123(constB12, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20228,plain,
% 218.38/140.97 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB12)) | ![B: $int] : ((v84(constB12, B) <=> v123(constB12, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))))),
% 218.38/140.97 inference(monotonicity,[status(thm)],[20227])).
% 218.38/140.97 tff(20229,plain,
% 218.38/140.97 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB12)) | ![B: $int] : ((v84(constB12, B) <=> v123(constB12, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B))))),
% 218.38/140.97 inference(transitivity,[status(thm)],[20228, 20226])).
% 218.38/140.97 tff(20230,plain,
% 218.38/140.97 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB12)) | ![B: $int] : ((v84(constB12, B) <=> v123(constB12, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20231,plain,
% 218.38/140.97 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.38/140.97 inference(modus_ponens,[status(thm)],[20230, 20229])).
% 218.38/140.97 tff(20232,plain,
% 218.38/140.97 ((~v94(constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20231, 1491])).
% 218.38/140.97 tff(20233,plain,
% 218.38/140.97 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20232, 20225])).
% 218.38/140.97 tff(20234,plain,
% 218.38/140.97 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 1) <=> v123(constB12, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 1) <=> v123(constB12, 1)))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20235,plain,
% 218.38/140.97 (($false | $false | (v84(constB12, 1) <=> v123(constB12, 1))) <=> (v84(constB12, 1) <=> v123(constB12, 1))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20236,plain,
% 218.38/140.97 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB12, 1) <=> v123(constB12, 1))) <=> ($false | $false | (v84(constB12, 1) <=> v123(constB12, 1)))),
% 218.38/140.97 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.97 tff(20237,plain,
% 218.38/140.97 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB12, 1) <=> v123(constB12, 1))) <=> (v84(constB12, 1) <=> v123(constB12, 1))),
% 218.38/140.97 inference(transitivity,[status(thm)],[20236, 20235])).
% 218.38/140.97 tff(20238,plain,
% 218.38/140.97 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB12, 1) <=> v123(constB12, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 1) <=> v123(constB12, 1)))),
% 218.38/140.97 inference(monotonicity,[status(thm)],[20237])).
% 218.38/140.97 tff(20239,plain,
% 218.38/140.97 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB12, 1) <=> v123(constB12, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 1) <=> v123(constB12, 1)))),
% 218.38/140.97 inference(transitivity,[status(thm)],[20238, 20234])).
% 218.38/140.97 tff(20240,plain,
% 218.38/140.97 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB12, 1) <=> v123(constB12, 1)))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20241,plain,
% 218.38/140.97 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 1) <=> v123(constB12, 1))),
% 218.38/140.97 inference(modus_ponens,[status(thm)],[20240, 20239])).
% 218.38/140.97 tff(20242,plain,
% 218.38/140.97 (v84(constB12, 1) <=> v123(constB12, 1)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20241, 20233])).
% 218.38/140.97 tff(20243,plain,
% 218.38/140.97 ((~(v84(constB12, 1) <=> v123(constB12, 1))) | v84(constB12, 1) | (~v123(constB12, 1))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20244,plain,
% 218.38/140.97 ((~(v84(constB12, 1) <=> v123(constB12, 1))) | (~v123(constB12, 1))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20243, 20117])).
% 218.38/140.97 tff(20245,plain,
% 218.38/140.97 (~v123(constB12, 1)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20244, 20242])).
% 218.38/140.97 tff(20246,plain,
% 218.38/140.97 ((~(v123(constB12, 1) <=> v121(constB11, 1))) | v123(constB12, 1) | (~v121(constB11, 1))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20247,plain,
% 218.38/140.97 ((~(v123(constB12, 1) <=> v121(constB11, 1))) | (~v121(constB11, 1))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20246, 20245])).
% 218.38/140.97 tff(20248,plain,
% 218.38/140.97 (~v121(constB11, 1)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20247, 20212])).
% 218.38/140.97 tff(20249,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20250,plain,
% 218.38/140.97 (((~v118(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20251,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))))),
% 218.38/140.97 inference(monotonicity,[status(thm)],[20250])).
% 218.38/140.97 tff(20252,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B))))),
% 218.38/140.97 inference(transitivity,[status(thm)],[20251, 20249])).
% 218.38/140.97 tff(20253,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20254,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))),
% 218.38/140.97 inference(modus_ponens,[status(thm)],[20253, 20252])).
% 218.38/140.97 tff(20255,plain,
% 218.38/140.97 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20254, 1977, 20213])).
% 218.38/140.97 tff(20256,plain,
% 218.38/140.97 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 1) <=> b110(1)))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20257,plain,
% 218.38/140.97 (($false | $false | (v124(constB11, 1) <=> b110(1))) <=> (v124(constB11, 1) <=> b110(1))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20258,plain,
% 218.38/140.97 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b110(1))) <=> ($false | $false | (v124(constB11, 1) <=> b110(1)))),
% 218.38/140.97 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.97 tff(20259,plain,
% 218.38/140.97 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b110(1))) <=> (v124(constB11, 1) <=> b110(1))),
% 218.38/140.97 inference(transitivity,[status(thm)],[20258, 20257])).
% 218.38/140.97 tff(20260,plain,
% 218.38/140.97 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 1) <=> b110(1)))),
% 218.38/140.97 inference(monotonicity,[status(thm)],[20259])).
% 218.38/140.97 tff(20261,plain,
% 218.38/140.97 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 1) <=> b110(1)))),
% 218.38/140.97 inference(transitivity,[status(thm)],[20260, 20256])).
% 218.38/140.97 tff(20262,plain,
% 218.38/140.97 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b110(1)))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20263,plain,
% 218.38/140.97 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 1) <=> b110(1))),
% 218.38/140.97 inference(modus_ponens,[status(thm)],[20262, 20261])).
% 218.38/140.97 tff(20264,plain,
% 218.38/140.97 (v124(constB11, 1) <=> b110(1)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20263, 20255])).
% 218.38/140.97 tff(20265,plain,
% 218.38/140.97 ((~(v124(constB11, 1) <=> b110(1))) | v124(constB11, 1) | (~b110(1))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20266,plain,
% 218.38/140.97 ((~(v124(constB11, 1) <=> b110(1))) | v124(constB11, 1)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20265, 1662])).
% 218.38/140.97 tff(20267,plain,
% 218.38/140.97 (v124(constB11, 1)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20266, 20264])).
% 218.38/140.97 tff(20268,plain,
% 218.38/140.97 ((~(v121(constB11, 1) <=> v124(constB11, 1))) | v121(constB11, 1) | (~v124(constB11, 1))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20269,plain,
% 218.38/140.97 (v121(constB11, 1) | (~v124(constB11, 1))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20268, 20046])).
% 218.38/140.97 tff(20270,plain,
% 218.38/140.97 ($false),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20269, 20267, 20248])).
% 218.38/140.97 tff(20271,plain,((~v118(constB11)) | v84(constB12, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.97 tff(20272,plain,
% 218.38/140.97 (~v118(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20271, 20117])).
% 218.38/140.97 tff(20273,plain,
% 218.38/140.97 ((~(v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))))) | v118(constB11) | ((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20274,plain,
% 218.38/140.97 ((~(v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))))) | ((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20273, 20272])).
% 218.38/140.97 tff(20275,plain,
% 218.38/140.97 ((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20274, 20211])).
% 218.38/140.97 tff(20276,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20277,plain,
% 218.38/140.97 (v113(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20276, 597])).
% 218.38/140.97 tff(20278,assumption,(~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))), introduced(assumption)).
% 218.38/140.97 tff(20279,plain,
% 218.38/140.97 ((~(v113(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))))) | v113(constB11) | (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20280,plain,
% 218.38/140.97 ((~(v113(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))))) | v113(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20279, 20278])).
% 218.38/140.97 tff(20281,plain,
% 218.38/140.97 (v113(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20280, 20277])).
% 218.38/140.97 tff(20282,plain,
% 218.38/140.97 ((v113(constB11) | v114(constB11)) | (~v113(constB11))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20283,plain,
% 218.38/140.97 (v113(constB11) | v114(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20282, 20281])).
% 218.38/140.97 tff(20284,plain,
% 218.38/140.97 ((~(v112(constB11) <=> (v113(constB11) | v114(constB11)))) | v112(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20180, 20283])).
% 218.38/140.97 tff(20285,plain,
% 218.38/140.97 (v112(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20284, 20166])).
% 218.38/140.97 tff(20286,plain,
% 218.38/140.97 (v112(constB11) | v115(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20183, 20285])).
% 218.38/140.97 tff(20287,plain,
% 218.38/140.97 ($false),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20200, 20199, 20286, 20164])).
% 218.38/140.97 tff(20288,plain,(v109(constB11) | (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.97 tff(20289,plain,
% 218.38/140.97 (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20288, 20162])).
% 218.38/140.97 tff(20290,assumption,(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))), introduced(assumption)).
% 218.38/140.97 tff(20291,assumption,(~(v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))))), introduced(assumption)).
% 218.38/140.97 tff(20292,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20293,plain,
% 218.38/140.97 ((v117(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 1) | (~v84(constB11, 2))))) <=> (v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20294,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 1) | (~v84(constB11, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)))))),
% 218.38/140.97 inference(monotonicity,[status(thm)],[20293])).
% 218.38/140.97 tff(20295,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 1) | (~v84(constB11, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)))))),
% 218.38/140.97 inference(transitivity,[status(thm)],[20294, 20292])).
% 218.38/140.97 tff(20296,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 1) | (~v84(constB11, 2)))))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20297,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))))),
% 218.38/140.97 inference(modus_ponens,[status(thm)],[20296, 20295])).
% 218.38/140.97 tff(20298,plain,
% 218.38/140.97 ($false),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20297, 656, 20291])).
% 218.38/140.97 tff(20299,plain,(v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.97 tff(20300,assumption,(v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)))), introduced(assumption)).
% 218.38/140.97 tff(20301,assumption,(~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))), introduced(assumption)).
% 218.38/140.97 tff(20302,plain,
% 218.38/140.97 ((~(v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))))) | v117(constB11) | ((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20303,plain,
% 218.38/140.97 ((~(v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))))) | v117(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20302, 20301])).
% 218.38/140.97 tff(20304,plain,
% 218.38/140.97 (v117(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20303, 20300])).
% 218.38/140.97 tff(20305,plain,
% 218.38/140.97 ((v110(constB11) | v117(constB11)) | (~v117(constB11))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20306,plain,
% 218.38/140.97 ($false),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20305, 20192, 20304])).
% 218.38/140.97 tff(20307,plain,((~(v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))))) | v109(constB11) | ((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.97 tff(20308,plain,
% 218.38/140.97 (v109(constB11) | ((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20307, 20299])).
% 218.38/140.97 tff(20309,plain,
% 218.38/140.97 ((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20308, 20162])).
% 218.38/140.97 tff(20310,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20311,plain,
% 218.38/140.97 ((v119(constB11) <=> (~(v84(constB11, 0) | (~v84(constB11, 1)) | (~v84(constB11, 2))))) <=> (v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20312,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB11) <=> (~(v84(constB11, 0) | (~v84(constB11, 1)) | (~v84(constB11, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))))))),
% 218.38/140.97 inference(monotonicity,[status(thm)],[20311])).
% 218.38/140.97 tff(20313,plain,
% 218.38/140.97 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB11) <=> (~(v84(constB11, 0) | (~v84(constB11, 1)) | (~v84(constB11, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))))))),
% 218.38/140.97 inference(transitivity,[status(thm)],[20312, 20310])).
% 218.38/140.97 tff(20314,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB11) <=> (~(v84(constB11, 0) | (~v84(constB11, 1)) | (~v84(constB11, 2)))))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20315,plain,
% 218.38/140.97 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))),
% 218.38/140.97 inference(modus_ponens,[status(thm)],[20314, 20313])).
% 218.38/140.97 tff(20316,plain,
% 218.38/140.97 (v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20315, 318])).
% 218.38/140.97 tff(20317,plain,
% 218.38/140.97 ((v108(constB11) | v119(constB11)) | (~v119(constB11))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20318,plain,
% 218.38/140.97 (~v119(constB11)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20317, 20151])).
% 218.38/140.97 tff(20319,plain,
% 218.38/140.97 ((~(v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))) | v119(constB11) | ((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20320,plain,
% 218.38/140.97 ((~(v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))) | ((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20319, 20318])).
% 218.38/140.97 tff(20321,plain,
% 218.38/140.97 ((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20320, 20316])).
% 218.38/140.97 tff(20322,assumption,(~v84(constB11, 0)), introduced(assumption)).
% 218.38/140.97 tff(20323,assumption,(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)), introduced(assumption)).
% 218.38/140.97 tff(20324,assumption,((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)), introduced(assumption)).
% 218.38/140.97 tff(20325,assumption,(~v84(constB11, 1)), introduced(assumption)).
% 218.38/140.97 tff(20326,plain,
% 218.38/140.97 ((~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))) | (~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20327,plain,
% 218.38/140.97 (~v84(constB11, 2)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20326, 20322, 20325, 20324])).
% 218.38/140.97 tff(20328,plain,
% 218.38/140.97 ((~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))) | v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20329,plain,
% 218.38/140.97 ($false),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20328, 20327, 20322, 20325, 20323])).
% 218.38/140.97 tff(20330,plain,(v84(constB11, 0) | v84(constB11, 1) | (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))) | (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.97 tff(20331,plain,
% 218.38/140.97 (v84(constB11, 1)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20330, 20322, 20324, 20323])).
% 218.38/140.97 tff(20332,assumption,((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))), introduced(assumption)).
% 218.38/140.97 tff(20333,plain,
% 218.38/140.97 ((~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))) | (~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20334,plain,
% 218.38/140.97 (~v84(constB11, 2)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20333, 20331, 20322, 20332])).
% 218.38/140.97 tff(20335,plain,
% 218.38/140.97 ((~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))) | v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20336,plain,
% 218.38/140.97 ($false),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20335, 20334, 20331, 20322, 20290])).
% 218.38/140.97 tff(20337,plain,(v84(constB11, 0) | (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))) | (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))) | (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))) | (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.97 tff(20338,plain,
% 218.38/140.97 (v84(constB11, 0)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20337, 20321, 20309, 20290, 20289])).
% 218.38/140.97 tff(20339,assumption,(v84(constB11, 0)), introduced(assumption)).
% 218.38/140.97 tff(20340,assumption,((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))), introduced(assumption)).
% 218.38/140.97 tff(20341,plain,
% 218.38/140.97 ((~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))) | (~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20342,plain,
% 218.38/140.97 (~v84(constB11, 2)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20341, 20325, 20339, 20340])).
% 218.38/140.97 tff(20343,plain,
% 218.38/140.97 ((~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))) | v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20344,plain,
% 218.38/140.97 ($false),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20343, 20342, 20325, 20339, 20204])).
% 218.38/140.97 tff(20345,plain,(v84(constB11, 1) | (~v84(constB11, 0)) | (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))) | (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.97 tff(20346,plain,
% 218.38/140.97 (v84(constB11, 1)),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20345, 20338, 20275, 20204])).
% 218.38/140.97 tff(20347,plain,
% 218.38/140.97 ((~(v84(constB12, 1) <=> v84(constB11, 1))) | v84(constB12, 1) | (~v84(constB11, 1))),
% 218.38/140.97 inference(tautology,[status(thm)],[])).
% 218.38/140.97 tff(20348,plain,
% 218.38/140.97 (~(v84(constB12, 1) <=> v84(constB11, 1))),
% 218.38/140.97 inference(unit_resolution,[status(thm)],[20347, 20117, 20346])).
% 218.38/140.97 tff(20349,plain,
% 218.38/140.97 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB12) | (~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB12) | (~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20350,plain,
% 218.38/140.97 ((v94(constB12) | (~nextState(constB11, constB12)) | ![B: $int] : ((v84(constB12, B) <=> v84(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB12) | (~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B))))),
% 218.38/140.97 inference(rewrite,[status(thm)],[])).
% 218.38/140.97 tff(20351,plain,
% 218.38/140.97 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB12) | (~nextState(constB11, constB12)) | ![B: $int] : ((v84(constB12, B) <=> v84(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB12) | (~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))))),
% 218.38/140.97 inference(monotonicity,[status(thm)],[20350])).
% 218.38/140.97 tff(20352,plain,
% 218.38/140.97 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB12) | (~nextState(constB11, constB12)) | ![B: $int] : ((v84(constB12, B) <=> v84(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB12) | (~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B))))),
% 218.38/140.97 inference(transitivity,[status(thm)],[20351, 20349])).
% 218.38/140.97 tff(20353,plain,
% 218.38/140.97 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB12) | (~nextState(constB11, constB12)) | ![B: $int] : ((v84(constB12, B) <=> v84(constB11, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.97 inference(quant_inst,[status(thm)],[])).
% 218.38/140.97 tff(20354,plain,
% 218.38/140.97 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB12) | (~nextState(constB11, constB12)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20353, 20352])).
% 218.38/140.98 tff(20355,plain,
% 218.38/140.98 (v94(constB12) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20354, 20053, 235])).
% 218.38/140.98 tff(20356,plain,
% 218.38/140.98 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20355, 20075])).
% 218.38/140.98 tff(20357,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 1) <=> v84(constB11, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 1) <=> v84(constB11, 1)))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20358,plain,
% 218.38/140.98 (($false | $false | (v84(constB12, 1) <=> v84(constB11, 1))) <=> (v84(constB12, 1) <=> v84(constB11, 1))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20359,plain,
% 218.38/140.98 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB12, 1) <=> v84(constB11, 1))) <=> ($false | $false | (v84(constB12, 1) <=> v84(constB11, 1)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.98 tff(20360,plain,
% 218.38/140.98 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB12, 1) <=> v84(constB11, 1))) <=> (v84(constB12, 1) <=> v84(constB11, 1))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20359, 20358])).
% 218.38/140.98 tff(20361,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB12, 1) <=> v84(constB11, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 1) <=> v84(constB11, 1)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20360])).
% 218.38/140.98 tff(20362,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB12, 1) <=> v84(constB11, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 1) <=> v84(constB11, 1)))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20361, 20357])).
% 218.38/140.98 tff(20363,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB12, 1) <=> v84(constB11, 1)))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20364,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 1) <=> v84(constB11, 1))),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20363, 20362])).
% 218.38/140.98 tff(20365,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20364, 20356, 20348])).
% 218.38/140.98 tff(20366,plain,(v94(constB12) | v84(constB12, 1) | (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))) | (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20367,plain,
% 218.38/140.98 (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20366, 20203, 20117, 20075])).
% 218.38/140.98 tff(20368,assumption,(~(v115(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))))), introduced(assumption)).
% 218.38/140.98 tff(20369,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))))))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20370,plain,
% 218.38/140.98 ((v115(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 2) | (~v84(constB11, 1))))) <=> (v115(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20371,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 2) | (~v84(constB11, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))))))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20370])).
% 218.38/140.98 tff(20372,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 2) | (~v84(constB11, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))))))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20371, 20369])).
% 218.38/140.98 tff(20373,plain,
% 218.38/140.98 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 2) | (~v84(constB11, 1)))))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20374,plain,
% 218.38/140.98 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))))),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20373, 20372])).
% 218.38/140.98 tff(20375,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20374, 622, 20368])).
% 218.38/140.98 tff(20376,plain,(v115(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20377,plain,
% 218.38/140.98 ((~(v115(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))))) | v115(constB11) | (v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20378,plain,
% 218.38/140.98 (v115(constB11) | (v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20377, 20376])).
% 218.38/140.98 tff(20379,plain,
% 218.38/140.98 (v115(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20378, 20367])).
% 218.38/140.98 tff(20380,plain,
% 218.38/140.98 ((v112(constB11) | v115(constB11)) | (~v115(constB11))),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20381,plain,
% 218.38/140.98 (v112(constB11) | v115(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20380, 20379])).
% 218.38/140.98 tff(20382,plain,
% 218.38/140.98 (v109(constB11) | (~(v110(constB11) | v117(constB11)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20190, 20188])).
% 218.38/140.98 tff(20383,plain,
% 218.38/140.98 (~(v110(constB11) | v117(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20382, 20162])).
% 218.38/140.98 tff(20384,plain,
% 218.38/140.98 (~v110(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20193, 20383])).
% 218.38/140.98 tff(20385,assumption,(~(v110(constB11) <=> (v111(constB11) | v116(constB11)))), introduced(assumption)).
% 218.38/140.98 tff(20386,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20185, 265, 20385])).
% 218.38/140.98 tff(20387,plain,(v110(constB11) <=> (v111(constB11) | v116(constB11))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20388,plain,
% 218.38/140.98 (v110(constB11) | (~(v111(constB11) | v116(constB11)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20195, 20387])).
% 218.38/140.98 tff(20389,plain,
% 218.38/140.98 (~(v111(constB11) | v116(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20388, 20384])).
% 218.38/140.98 tff(20390,plain,
% 218.38/140.98 (~v111(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20198, 20389])).
% 218.38/140.98 tff(20391,assumption,(~(v111(constB11) <=> (v112(constB11) | v115(constB11)))), introduced(assumption)).
% 218.38/140.98 tff(20392,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20163, 274, 20391])).
% 218.38/140.98 tff(20393,plain,(v111(constB11) <=> (v112(constB11) | v115(constB11))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20394,plain,
% 218.38/140.98 (v111(constB11) | (~(v112(constB11) | v115(constB11)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20200, 20393])).
% 218.38/140.98 tff(20395,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20394, 20390, 20381])).
% 218.38/140.98 tff(20396,plain,(v94(constB12) | v84(constB12, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20397,plain,
% 218.38/140.98 (v84(constB12, 1)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20396, 20075])).
% 218.38/140.98 tff(20398,assumption,(~v102(constB11)), introduced(assumption)).
% 218.38/140.98 tff(20399,plain,
% 218.38/140.98 (~(v105(constB11) | v106(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20128, 20398])).
% 218.38/140.98 tff(20400,plain,
% 218.38/140.98 (~v106(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20130, 20399])).
% 218.38/140.98 tff(20401,plain,
% 218.38/140.98 ((~v107(constB11)) | (~v120(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20135, 20400])).
% 218.38/140.98 tff(20402,plain,
% 218.38/140.98 (~v107(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20143, 20401])).
% 218.38/140.98 tff(20403,plain,
% 218.38/140.98 (~(v108(constB11) | v119(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20150, 20402])).
% 218.38/140.98 tff(20404,plain,
% 218.38/140.98 (~v108(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20152, 20403])).
% 218.38/140.98 tff(20405,plain,
% 218.38/140.98 (~(v109(constB11) | v118(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20159, 20404])).
% 218.38/140.98 tff(20406,plain,
% 218.38/140.98 (~v109(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20161, 20405])).
% 218.38/140.98 tff(20407,plain,
% 218.38/140.98 (~(v110(constB11) | v117(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20382, 20406])).
% 218.38/140.98 tff(20408,plain,
% 218.38/140.98 (~v110(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20193, 20407])).
% 218.38/140.98 tff(20409,plain,
% 218.38/140.98 (~v118(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20214, 20405])).
% 218.38/140.98 tff(20410,assumption,(v84(constB12, 1)), introduced(assumption)).
% 218.38/140.98 tff(20411,assumption,(v117(constB11)), introduced(assumption)).
% 218.38/140.98 tff(20412,plain,
% 218.38/140.98 ((~(v117(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))))) | (~v117(constB11)) | (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)))),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20413,plain,
% 218.38/140.98 ((~v117(constB11)) | (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20412, 20299])).
% 218.38/140.98 tff(20414,plain,
% 218.38/140.98 (~((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20413, 20411])).
% 218.38/140.98 tff(20415,plain,
% 218.38/140.98 (v109(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20308, 20414])).
% 218.38/140.98 tff(20416,plain,
% 218.38/140.98 (v109(constB11) | v118(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20161, 20415])).
% 218.38/140.98 tff(20417,plain,
% 218.38/140.98 (v108(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20159, 20416])).
% 218.38/140.98 tff(20418,plain,
% 218.38/140.98 (v108(constB11) | v119(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20152, 20417])).
% 218.38/140.98 tff(20419,plain,
% 218.38/140.98 (v107(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20150, 20418])).
% 218.38/140.98 tff(20420,plain,
% 218.38/140.98 (~((~v107(constB11)) | (~v120(constB11)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20143, 20419])).
% 218.38/140.98 tff(20421,plain,
% 218.38/140.98 (v106(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20135, 20420])).
% 218.38/140.98 tff(20422,plain,
% 218.38/140.98 (v105(constB11) | v106(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20130, 20421])).
% 218.38/140.98 tff(20423,plain,
% 218.38/140.98 (v102(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20128, 20422])).
% 218.38/140.98 tff(20424,plain,
% 218.38/140.98 (v104(constB12)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20123, 20423])).
% 218.38/140.98 tff(20425,plain,
% 218.38/140.98 (~((~v95(constB12)) | (~v104(constB12)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20115, 20424])).
% 218.38/140.98 tff(20426,plain,
% 218.38/140.98 (v94(constB12)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20081, 20425])).
% 218.38/140.98 tff(20427,plain,
% 218.38/140.98 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20232, 20426])).
% 218.38/140.98 tff(20428,assumption,(~v123(constB12, 1)), introduced(assumption)).
% 218.38/140.98 tff(20429,plain,
% 218.38/140.98 ((~(v84(constB12, 1) <=> v123(constB12, 1))) | (~v84(constB12, 1)) | v123(constB12, 1)),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20430,plain,
% 218.38/140.98 (~(v84(constB12, 1) <=> v123(constB12, 1))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20429, 20410, 20428])).
% 218.38/140.98 tff(20431,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))), introduced(assumption)).
% 218.38/140.98 tff(20432,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20241, 20431, 20430])).
% 218.38/140.98 tff(20433,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (~v84(constB12, 1)) | v123(constB12, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20434,plain,
% 218.38/140.98 (v123(constB12, 1)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20433, 20427, 20410])).
% 218.38/140.98 tff(20435,plain,
% 218.38/140.98 (v121(constB11, 1)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20072, 20434])).
% 218.38/140.98 tff(20436,plain,
% 218.38/140.98 (v124(constB11, 1)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20048, 20435])).
% 218.38/140.98 tff(20437,plain,
% 218.38/140.98 ((~(v124(constB11, 1) <=> b101(1))) | (~v124(constB11, 1)) | b101(1)),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20438,plain,
% 218.38/140.98 (~(v124(constB11, 1) <=> b101(1))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20437, 2330, 20436])).
% 218.38/140.98 tff(20439,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B))))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20440,plain,
% 218.38/140.98 (((~v117(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B))))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20441,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20440])).
% 218.38/140.98 tff(20442,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B))))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20441, 20439])).
% 218.38/140.98 tff(20443,plain,
% 218.38/140.98 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20444,plain,
% 218.38/140.98 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20443, 20442])).
% 218.38/140.98 tff(20445,plain,
% 218.38/140.98 ((~v117(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20444, 2090])).
% 218.38/140.98 tff(20446,plain,
% 218.38/140.98 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20445, 20411])).
% 218.38/140.98 tff(20447,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 1) <=> b101(1)))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20448,plain,
% 218.38/140.98 (($false | $false | (v124(constB11, 1) <=> b101(1))) <=> (v124(constB11, 1) <=> b101(1))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20449,plain,
% 218.38/140.98 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b101(1))) <=> ($false | $false | (v124(constB11, 1) <=> b101(1)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.98 tff(20450,plain,
% 218.38/140.98 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b101(1))) <=> (v124(constB11, 1) <=> b101(1))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20449, 20448])).
% 218.38/140.98 tff(20451,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 1) <=> b101(1)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20450])).
% 218.38/140.98 tff(20452,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 1) <=> b101(1)))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20451, 20447])).
% 218.38/140.98 tff(20453,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b101(1)))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20454,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 1) <=> b101(1))),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20453, 20452])).
% 218.38/140.98 tff(20455,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20454, 20446, 20438])).
% 218.38/140.98 tff(20456,plain,((~v117(constB11)) | (~v84(constB12, 1))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20457,plain,
% 218.38/140.98 (~v117(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20456, 20410])).
% 218.38/140.98 tff(20458,plain,
% 218.38/140.98 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB11) <=> (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20459,plain,
% 218.38/140.98 (v116(constB11) <=> (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20458, 521])).
% 218.38/140.98 tff(20460,plain,
% 218.38/140.98 ((~(v104(constB12) <=> v102(constB11))) | (~v104(constB12)) | v102(constB11)),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20461,plain,
% 218.38/140.98 ((~v104(constB12)) | v102(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20460, 20121])).
% 218.38/140.98 tff(20462,plain,
% 218.38/140.98 (~v104(constB12)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20461, 20398])).
% 218.38/140.98 tff(20463,plain,
% 218.38/140.98 (((~v95(constB12)) | (~v104(constB12))) | v104(constB12)),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20464,plain,
% 218.38/140.98 ((~v95(constB12)) | (~v104(constB12))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20463, 20462])).
% 218.38/140.98 tff(20465,plain,
% 218.38/140.98 ((~(v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12)))))) | (~v94(constB12)) | (~((~v95(constB12)) | (~v104(constB12))))),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20466,plain,
% 218.38/140.98 ((~v94(constB12)) | (~((~v95(constB12)) | (~v104(constB12))))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20465, 20079])).
% 218.38/140.98 tff(20467,plain,
% 218.38/140.98 (~v94(constB12)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20466, 20464])).
% 218.38/140.98 tff(20468,plain,
% 218.38/140.98 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20355, 20467])).
% 218.38/140.98 tff(20469,plain,
% 218.38/140.98 (v84(constB12, 1) <=> v84(constB11, 1)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20364, 20468])).
% 218.38/140.98 tff(20470,plain,
% 218.38/140.98 ((~(v84(constB12, 1) <=> v84(constB11, 1))) | (~v84(constB12, 1)) | v84(constB11, 1)),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20471,plain,
% 218.38/140.98 ((~(v84(constB12, 1) <=> v84(constB11, 1))) | v84(constB11, 1)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20470, 20410])).
% 218.38/140.98 tff(20472,plain,
% 218.38/140.98 (v84(constB11, 1)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20471, 20469])).
% 218.38/140.98 tff(20473,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 0) <=> v84(constB11, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 0) <=> v84(constB11, 0)))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20474,plain,
% 218.38/140.98 (($false | $false | (v84(constB12, 0) <=> v84(constB11, 0))) <=> (v84(constB12, 0) <=> v84(constB11, 0))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20475,plain,
% 218.38/140.98 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB12, 0) <=> v84(constB11, 0))) <=> ($false | $false | (v84(constB12, 0) <=> v84(constB11, 0)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[250, 249])).
% 218.38/140.98 tff(20476,plain,
% 218.38/140.98 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB12, 0) <=> v84(constB11, 0))) <=> (v84(constB12, 0) <=> v84(constB11, 0))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20475, 20474])).
% 218.38/140.98 tff(20477,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB12, 0) <=> v84(constB11, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 0) <=> v84(constB11, 0)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20476])).
% 218.38/140.98 tff(20478,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB12, 0) <=> v84(constB11, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 0) <=> v84(constB11, 0)))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20477, 20473])).
% 218.38/140.98 tff(20479,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB12, 0) <=> v84(constB11, 0)))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20480,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 0) <=> v84(constB11, 0))),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20479, 20478])).
% 218.38/140.98 tff(20481,plain,
% 218.38/140.98 (v84(constB12, 0) <=> v84(constB11, 0)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20480, 20468])).
% 218.38/140.98 tff(20482,assumption,(v84(constB12, 0)), introduced(assumption)).
% 218.38/140.98 tff(20483,plain,
% 218.38/140.98 ((~(v84(constB12, 0) <=> v84(constB11, 0))) | (~v84(constB12, 0)) | v84(constB11, 0)),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20484,plain,
% 218.38/140.98 ((~(v84(constB12, 0) <=> v84(constB11, 0))) | v84(constB11, 0)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20483, 20482])).
% 218.38/140.98 tff(20485,plain,
% 218.38/140.98 (v84(constB11, 0)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20484, 20481])).
% 218.38/140.98 tff(20486,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 2) <=> v84(constB11, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 2) <=> v84(constB11, 2)))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20487,plain,
% 218.38/140.98 (($false | $false | (v84(constB12, 2) <=> v84(constB11, 2))) <=> (v84(constB12, 2) <=> v84(constB11, 2))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20488,plain,
% 218.38/140.98 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB12, 2) <=> v84(constB11, 2))) <=> ($false | $false | (v84(constB12, 2) <=> v84(constB11, 2)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.98 tff(20489,plain,
% 218.38/140.98 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB12, 2) <=> v84(constB11, 2))) <=> (v84(constB12, 2) <=> v84(constB11, 2))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20488, 20487])).
% 218.38/140.98 tff(20490,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB12, 2) <=> v84(constB11, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 2) <=> v84(constB11, 2)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20489])).
% 218.38/140.98 tff(20491,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB12, 2) <=> v84(constB11, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 2) <=> v84(constB11, 2)))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20490, 20486])).
% 218.38/140.98 tff(20492,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB12, 2) <=> v84(constB11, 2)))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20493,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))) | (v84(constB12, 2) <=> v84(constB11, 2))),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20492, 20491])).
% 218.38/140.98 tff(20494,plain,
% 218.38/140.98 (v84(constB12, 2) <=> v84(constB11, 2)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20493, 20468])).
% 218.38/140.98 tff(20495,plain,
% 218.38/140.98 ((~(v84(constB12, 2) <=> v84(constB11, 2))) | v84(constB12, 2) | (~v84(constB11, 2))),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20496,plain,
% 218.38/140.98 ((~(v84(constB12, 2) <=> v84(constB11, 2))) | (~v84(constB11, 2))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20495, 20074])).
% 218.38/140.98 tff(20497,plain,
% 218.38/140.98 (~v84(constB11, 2)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20496, 20494])).
% 218.38/140.98 tff(20498,plain,
% 218.38/140.98 ((~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))) | v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20499,plain,
% 218.38/140.98 (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20498, 20497, 20485, 20472])).
% 218.38/140.98 tff(20500,plain,
% 218.38/140.98 ((~(v116(constB11) <=> (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))))) | v116(constB11) | (v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20501,plain,
% 218.38/140.98 ((~(v116(constB11) <=> (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))))) | v116(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20500, 20499])).
% 218.38/140.98 tff(20502,plain,
% 218.38/140.98 (v116(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20501, 20459])).
% 218.38/140.98 tff(20503,plain,
% 218.38/140.98 ((v111(constB11) | v116(constB11)) | (~v116(constB11))),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20504,plain,
% 218.38/140.98 (v111(constB11) | v116(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20503, 20502])).
% 218.38/140.98 tff(20505,plain,
% 218.38/140.98 ((~(v110(constB11) <=> (v111(constB11) | v116(constB11)))) | v110(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20195, 20504])).
% 218.38/140.98 tff(20506,plain,
% 218.38/140.98 (v110(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20505, 20186])).
% 218.38/140.98 tff(20507,plain,
% 218.38/140.98 (v108(constB11) <=> (v109(constB11) | v118(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20155, 428])).
% 218.38/140.98 tff(20508,plain,
% 218.38/140.98 (v107(constB11) <=> (v108(constB11) | v119(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20146, 187])).
% 218.38/140.98 tff(20509,plain,
% 218.38/140.98 ((~(v107(constB11) <=> (v108(constB11) | v119(constB11)))) | (~(v108(constB11) | v119(constB11)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20149, 20402])).
% 218.38/140.98 tff(20510,plain,
% 218.38/140.98 (~(v108(constB11) | v119(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20509, 20508])).
% 218.38/140.98 tff(20511,plain,
% 218.38/140.98 (~v108(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20152, 20510])).
% 218.38/140.98 tff(20512,plain,
% 218.38/140.98 ((~(v108(constB11) <=> (v109(constB11) | v118(constB11)))) | (~(v109(constB11) | v118(constB11)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20158, 20511])).
% 218.38/140.98 tff(20513,plain,
% 218.38/140.98 (~(v109(constB11) | v118(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20512, 20507])).
% 218.38/140.98 tff(20514,plain,
% 218.38/140.98 (~v109(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20161, 20513])).
% 218.38/140.98 tff(20515,plain,
% 218.38/140.98 ((~(v109(constB11) <=> (v110(constB11) | v117(constB11)))) | (~(v110(constB11) | v117(constB11)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20190, 20514])).
% 218.38/140.98 tff(20516,plain,
% 218.38/140.98 (~(v110(constB11) | v117(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20515, 20188])).
% 218.38/140.98 tff(20517,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20193, 20516, 20506])).
% 218.38/140.98 tff(20518,plain,(v102(constB11) | v84(constB12, 2) | (~v84(constB12, 0)) | (~v84(constB12, 1))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20519,plain,
% 218.38/140.98 (~v84(constB12, 0)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20518, 20398, 20074, 20410])).
% 218.38/140.98 tff(20520,plain,
% 218.38/140.98 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20433, 20073, 20410])).
% 218.38/140.98 tff(20521,plain,
% 218.38/140.98 (~v94(constB12)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20232, 20520])).
% 218.38/140.98 tff(20522,plain,
% 218.38/140.98 ((~v95(constB12)) | (~v104(constB12))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20081, 20521])).
% 218.38/140.98 tff(20523,plain,
% 218.38/140.98 (~v104(constB12)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20115, 20522])).
% 218.38/140.98 tff(20524,plain,
% 218.38/140.98 (~v102(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20123, 20523])).
% 218.38/140.98 tff(20525,plain,
% 218.38/140.98 (~(v105(constB11) | v106(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20128, 20524])).
% 218.38/140.98 tff(20526,plain,
% 218.38/140.98 (~v106(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20130, 20525])).
% 218.38/140.98 tff(20527,plain,
% 218.38/140.98 ((~v107(constB11)) | (~v120(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20135, 20526])).
% 218.38/140.98 tff(20528,plain,
% 218.38/140.98 (~v107(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20143, 20527])).
% 218.38/140.98 tff(20529,plain,
% 218.38/140.98 (~(v108(constB11) | v119(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20150, 20528])).
% 218.38/140.98 tff(20530,plain,
% 218.38/140.98 (~v108(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20152, 20529])).
% 218.38/140.98 tff(20531,plain,
% 218.38/140.98 (~(v109(constB11) | v118(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20159, 20530])).
% 218.38/140.98 tff(20532,plain,
% 218.38/140.98 (~v109(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20161, 20531])).
% 218.38/140.98 tff(20533,plain,
% 218.38/140.98 (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20288, 20532])).
% 218.38/140.98 tff(20534,plain,
% 218.38/140.98 ((~(v124(constB11, 1) <=> b011(1))) | v124(constB11, 1) | (~b011(1))),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20535,plain,
% 218.38/140.98 (~(v124(constB11, 1) <=> b011(1))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20534, 2593, 20021])).
% 218.38/140.98 tff(20536,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))), introduced(assumption)).
% 218.38/140.98 tff(20537,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | (v124(constB11, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | (v124(constB11, 1) <=> b011(1)))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20538,plain,
% 218.38/140.98 (($false | $false | (v124(constB11, 1) <=> b011(1))) <=> (v124(constB11, 1) <=> b011(1))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20539,plain,
% 218.38/140.98 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b011(1))) <=> ($false | $false | (v124(constB11, 1) <=> b011(1)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.98 tff(20540,plain,
% 218.38/140.98 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b011(1))) <=> (v124(constB11, 1) <=> b011(1))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20539, 20538])).
% 218.38/140.98 tff(20541,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | (v124(constB11, 1) <=> b011(1)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20540])).
% 218.38/140.98 tff(20542,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | (v124(constB11, 1) <=> b011(1)))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20541, 20537])).
% 218.38/140.98 tff(20543,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b011(1)))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20544,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | (v124(constB11, 1) <=> b011(1))),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20543, 20542])).
% 218.38/140.98 tff(20545,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20544, 20536, 20535])).
% 218.38/140.98 tff(20546,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | v124(constB11, 1)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20547,plain,
% 218.38/140.98 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20546, 20021])).
% 218.38/140.98 tff(20548,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))), introduced(assumption)).
% 218.38/140.98 tff(20549,assumption,(v115(constB11)), introduced(assumption)).
% 218.38/140.98 tff(20550,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B))))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20551,plain,
% 218.38/140.98 (((~v115(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B))))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20552,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20551])).
% 218.38/140.98 tff(20553,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B))))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20552, 20550])).
% 218.38/140.98 tff(20554,plain,
% 218.38/140.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20555,plain,
% 218.38/140.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20554, 20553])).
% 218.38/140.98 tff(20556,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20555, 2144, 20549, 20548])).
% 218.38/140.98 tff(20557,plain,((~v115(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20558,plain,
% 218.38/140.98 (~v115(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20557, 20547])).
% 218.38/140.98 tff(20559,plain,
% 218.38/140.98 (v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20377, 20558, 20376])).
% 218.38/140.98 tff(20560,plain,
% 218.38/140.98 (v117(constB11) | ((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20302, 20299])).
% 218.38/140.98 tff(20561,plain,
% 218.38/140.98 ((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20560, 20457])).
% 218.38/140.98 tff(20562,plain,
% 218.38/140.98 (~v119(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20317, 20529])).
% 218.38/140.98 tff(20563,plain,
% 218.38/140.98 ((~(v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))) | ((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20319, 20562])).
% 218.38/140.98 tff(20564,plain,
% 218.38/140.98 ((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20563, 20316])).
% 218.38/140.98 tff(20565,plain,
% 218.38/140.98 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v84(constB11, B)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20355, 20521])).
% 218.38/140.98 tff(20566,plain,
% 218.38/140.98 (v84(constB12, 0) <=> v84(constB11, 0)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20480, 20565])).
% 218.38/140.98 tff(20567,assumption,(~v84(constB12, 0)), introduced(assumption)).
% 218.38/140.98 tff(20568,plain,
% 218.38/140.98 ((~(v84(constB12, 0) <=> v84(constB11, 0))) | v84(constB12, 0) | (~v84(constB11, 0))),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20569,plain,
% 218.38/140.98 ((~(v84(constB12, 0) <=> v84(constB11, 0))) | (~v84(constB11, 0))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20568, 20567])).
% 218.38/140.98 tff(20570,plain,
% 218.38/140.98 (~v84(constB11, 0)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20569, 20566])).
% 218.38/140.98 tff(20571,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20337, 20570, 20564, 20561, 20559, 20533])).
% 218.38/140.98 tff(20572,plain,(v124(constB11, 1) | v84(constB12, 0) | (~v84(constB12, 1))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20573,plain,
% 218.38/140.98 (v124(constB11, 1)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20572, 20519, 20410])).
% 218.38/140.98 tff(20574,assumption,(v124(constB11, 1)), introduced(assumption)).
% 218.38/140.98 tff(20575,plain,
% 218.38/140.98 ((~(v124(constB11, 1) <=> b001(1))) | (~v124(constB11, 1)) | b001(1)),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20576,plain,
% 218.38/140.98 (~(v124(constB11, 1) <=> b001(1))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20575, 1885, 20574])).
% 218.38/140.98 tff(20577,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))), introduced(assumption)).
% 218.38/140.98 tff(20578,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 1) <=> b001(1)))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20579,plain,
% 218.38/140.98 (($false | $false | (v124(constB11, 1) <=> b001(1))) <=> (v124(constB11, 1) <=> b001(1))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20580,plain,
% 218.38/140.98 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b001(1))) <=> ($false | $false | (v124(constB11, 1) <=> b001(1)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[402, 401])).
% 218.38/140.98 tff(20581,plain,
% 218.38/140.98 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b001(1))) <=> (v124(constB11, 1) <=> b001(1))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20580, 20579])).
% 218.38/140.98 tff(20582,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 1) <=> b001(1)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20581])).
% 218.38/140.98 tff(20583,plain,
% 218.38/140.98 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 1) <=> b001(1)))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20582, 20578])).
% 218.38/140.98 tff(20584,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b001(1)))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20585,plain,
% 218.38/140.98 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 1) <=> b001(1))),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20584, 20583])).
% 218.38/140.98 tff(20586,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20585, 20577, 20576])).
% 218.38/140.98 tff(20587,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (~v124(constB11, 1))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20588,plain,
% 218.38/140.98 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20587, 20573])).
% 218.38/140.98 tff(20589,plain,
% 218.38/140.98 (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20202, 20406])).
% 218.38/140.98 tff(20590,assumption,(~(v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))))), introduced(assumption)).
% 218.38/140.98 tff(20591,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20172, 298, 20590])).
% 218.38/140.98 tff(20592,plain,(v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20593,plain,
% 218.38/140.98 ((~(v114(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))))) | (~v114(constB11)) | (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))))),
% 218.38/140.98 inference(tautology,[status(thm)],[])).
% 218.38/140.98 tff(20594,plain,
% 218.38/140.98 ((~v114(constB11)) | (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20593, 20592])).
% 218.38/140.98 tff(20595,plain,
% 218.38/140.98 (~v114(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20594, 20589])).
% 218.38/140.98 tff(20596,assumption,(~(v111(constB11) | v116(constB11))), introduced(assumption)).
% 218.38/140.98 tff(20597,plain,
% 218.38/140.98 (~v111(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20198, 20596])).
% 218.38/140.98 tff(20598,plain,
% 218.38/140.98 (~(v112(constB11) | v115(constB11))),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20200, 20597, 20393])).
% 218.38/140.98 tff(20599,assumption,(~v117(constB11)), introduced(assumption)).
% 218.38/140.98 tff(20600,assumption,(~v114(constB11)), introduced(assumption)).
% 218.38/140.98 tff(20601,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))), introduced(assumption)).
% 218.38/140.98 tff(20602,assumption,(v113(constB11)), introduced(assumption)).
% 218.38/140.98 tff(20603,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20604,plain,
% 218.38/140.98 (((~v113(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20605,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20604])).
% 218.38/140.98 tff(20606,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20605, 20603])).
% 218.38/140.98 tff(20607,plain,
% 218.38/140.98 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20608,plain,
% 218.38/140.98 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20607, 20606])).
% 218.38/140.98 tff(20609,plain,
% 218.38/140.98 ($false),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20608, 2117, 20601, 20602])).
% 218.38/140.98 tff(20610,plain,((~v113(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.98 tff(20611,plain,
% 218.38/140.98 (~v113(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20610, 20601])).
% 218.38/140.98 tff(20612,assumption,(~v118(constB11)), introduced(assumption)).
% 218.38/140.98 tff(20613,plain,
% 218.38/140.98 (~v116(constB11)),
% 218.38/140.98 inference(unit_resolution,[status(thm)],[20503, 20596])).
% 218.38/140.98 tff(20614,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB11) | v116(constB11) | v117(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v115(constB11))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB11) | v116(constB11) | v117(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v115(constB11))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20615,plain,
% 218.38/140.98 ((v118(constB11) | v117(constB11) | v116(constB11) | v115(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) <=> (v118(constB11) | v116(constB11) | v117(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v115(constB11))),
% 218.38/140.98 inference(rewrite,[status(thm)],[])).
% 218.38/140.98 tff(20616,plain,
% 218.38/140.98 (^[B: $int] : rewrite(((v124(constB11, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))))),
% 218.38/140.98 inference(bind,[status(th)],[])).
% 218.38/140.98 tff(20617,plain,
% 218.38/140.98 (![B: $int] : ((v124(constB11, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.38/140.98 inference(quant_intro,[status(thm)],[20616])).
% 218.38/140.98 tff(20618,plain,
% 218.38/140.98 ((v118(constB11) | v117(constB11) | v116(constB11) | v115(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ((v124(constB11, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB11) | v117(constB11) | v116(constB11) | v115(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20617])).
% 218.38/140.98 tff(20619,plain,
% 218.38/140.98 ((v118(constB11) | v117(constB11) | v116(constB11) | v115(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ((v124(constB11, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB11) | v116(constB11) | v117(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v115(constB11))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20618, 20615])).
% 218.38/140.98 tff(20620,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB11) | v117(constB11) | v116(constB11) | v115(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ((v124(constB11, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB11) | v116(constB11) | v117(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v115(constB11)))),
% 218.38/140.98 inference(monotonicity,[status(thm)],[20619])).
% 218.38/140.98 tff(20621,plain,
% 218.38/140.98 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB11) | v117(constB11) | v116(constB11) | v115(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ((v124(constB11, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB11) | v116(constB11) | v117(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v115(constB11))),
% 218.38/140.98 inference(transitivity,[status(thm)],[20620, 20614])).
% 218.38/140.98 tff(20622,plain,
% 218.38/140.98 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB11) | v117(constB11) | v116(constB11) | v115(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ((v124(constB11, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.98 inference(quant_inst,[status(thm)],[])).
% 218.38/140.98 tff(20623,plain,
% 218.38/140.98 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB11) | v116(constB11) | v117(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v115(constB11)),
% 218.38/140.98 inference(modus_ponens,[status(thm)],[20622, 20621])).
% 218.38/140.98 tff(20624,plain,
% 218.38/140.98 (v118(constB11) | v116(constB11) | v117(constB11) | v114(constB11) | v113(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v115(constB11)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20623, 1807])).
% 218.38/140.99 tff(20625,plain,
% 218.38/140.99 (v115(constB11)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20624, 20613, 20612, 20601, 20611, 20600, 20599])).
% 218.38/140.99 tff(20626,plain,
% 218.38/140.99 ($false),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20380, 20625, 20598])).
% 218.38/140.99 tff(20627,plain,((v111(constB11) | v116(constB11)) | v118(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v114(constB11) | v117(constB11)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.99 tff(20628,plain,
% 218.38/140.99 (v111(constB11) | v116(constB11)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20627, 20595, 20588, 20457, 20409])).
% 218.38/140.99 tff(20629,plain,
% 218.38/140.99 ($false),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20388, 20628, 20408])).
% 218.38/140.99 tff(20630,plain,(v102(constB11) | (~v84(constB12, 1)) | v84(constB12, 2)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.99 tff(20631,plain,
% 218.38/140.99 (v102(constB11)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20630, 20397, 20074])).
% 218.38/140.99 tff(20632,plain,
% 218.38/140.99 ($false),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20123, 20631, 20116])).
% 218.38/140.99 tff(20633,plain,(v94(constB12) | v84(constB12, 2)), inference(lemma,lemma(discharge,[]))).
% 218.38/140.99 tff(20634,plain,
% 218.38/140.99 (v94(constB12)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20633, 20074])).
% 218.38/140.99 tff(20635,plain,
% 218.38/140.99 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20232, 20634])).
% 218.38/140.99 tff(20636,assumption,(~(v107(constB9) <=> (v108(constB9) | v119(constB9)))), introduced(assumption)).
% 218.38/140.99 tff(20637,plain,
% 218.38/140.99 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB9) <=> (v108(constB9) | v119(constB9)))),
% 218.38/140.99 inference(quant_inst,[status(thm)],[])).
% 218.38/140.99 tff(20638,plain,
% 218.38/140.99 ($false),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20637, 187, 20636])).
% 218.38/140.99 tff(20639,plain,(v107(constB9) <=> (v108(constB9) | v119(constB9))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.99 tff(20640,assumption,(~(v84(constB12, 2) <=> v123(constB12, 2))), introduced(assumption)).
% 218.38/140.99 tff(20641,plain,
% 218.38/140.99 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 2) <=> v123(constB12, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 2) <=> v123(constB12, 2)))),
% 218.38/140.99 inference(rewrite,[status(thm)],[])).
% 218.38/140.99 tff(20642,plain,
% 218.38/140.99 (($false | $false | (v84(constB12, 2) <=> v123(constB12, 2))) <=> (v84(constB12, 2) <=> v123(constB12, 2))),
% 218.38/140.99 inference(rewrite,[status(thm)],[])).
% 218.38/140.99 tff(20643,plain,
% 218.38/140.99 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB12, 2) <=> v123(constB12, 2))) <=> ($false | $false | (v84(constB12, 2) <=> v123(constB12, 2)))),
% 218.38/140.99 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.99 tff(20644,plain,
% 218.38/140.99 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB12, 2) <=> v123(constB12, 2))) <=> (v84(constB12, 2) <=> v123(constB12, 2))),
% 218.38/140.99 inference(transitivity,[status(thm)],[20643, 20642])).
% 218.38/140.99 tff(20645,plain,
% 218.38/140.99 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB12, 2) <=> v123(constB12, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 2) <=> v123(constB12, 2)))),
% 218.38/140.99 inference(monotonicity,[status(thm)],[20644])).
% 218.38/140.99 tff(20646,plain,
% 218.38/140.99 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB12, 2) <=> v123(constB12, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 2) <=> v123(constB12, 2)))),
% 218.38/140.99 inference(transitivity,[status(thm)],[20645, 20641])).
% 218.38/140.99 tff(20647,plain,
% 218.38/140.99 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB12, 2) <=> v123(constB12, 2)))),
% 218.38/140.99 inference(quant_inst,[status(thm)],[])).
% 218.38/140.99 tff(20648,plain,
% 218.38/140.99 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 2) <=> v123(constB12, 2))),
% 218.38/140.99 inference(modus_ponens,[status(thm)],[20647, 20646])).
% 218.38/140.99 tff(20649,plain,
% 218.38/140.99 ($false),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20648, 20431, 20640])).
% 218.38/140.99 tff(20650,plain,((v84(constB12, 2) <=> v123(constB12, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B))))), inference(lemma,lemma(discharge,[]))).
% 218.38/140.99 tff(20651,plain,
% 218.38/140.99 (v84(constB12, 2) <=> v123(constB12, 2)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20650, 20635])).
% 218.38/140.99 tff(20652,plain,
% 218.38/140.99 (~((~v95(constB12)) | (~v104(constB12)))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20466, 20634])).
% 218.38/140.99 tff(20653,plain,
% 218.38/140.99 (v104(constB12)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20463, 20652])).
% 218.38/140.99 tff(20654,plain,
% 218.38/140.99 (v102(constB11)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20461, 20653])).
% 218.38/140.99 tff(20655,plain,
% 218.38/140.99 ((~(v102(constB11) <=> (v105(constB11) | v106(constB11)))) | (~v102(constB11)) | (v105(constB11) | v106(constB11))),
% 218.38/140.99 inference(tautology,[status(thm)],[])).
% 218.38/140.99 tff(20656,plain,
% 218.38/140.99 ((~v102(constB11)) | (v105(constB11) | v106(constB11))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20655, 20126])).
% 218.38/140.99 tff(20657,plain,
% 218.38/140.99 (v105(constB11) | v106(constB11)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20656, 20654])).
% 218.38/140.99 tff(20658,plain,
% 218.38/140.99 ((~(v105(constB11) | v106(constB11))) | v105(constB11) | v106(constB11)),
% 218.38/140.99 inference(tautology,[status(thm)],[])).
% 218.38/140.99 tff(20659,plain,
% 218.38/140.99 ((~(v105(constB11) | v106(constB11))) | v106(constB11)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20658, 20029])).
% 218.38/140.99 tff(20660,plain,
% 218.38/140.99 (v106(constB11)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20659, 20657])).
% 218.38/140.99 tff(20661,plain,
% 218.38/140.99 ((~(v106(constB11) <=> (~((~v107(constB11)) | (~v120(constB11)))))) | (~v106(constB11)) | (~((~v107(constB11)) | (~v120(constB11))))),
% 218.38/140.99 inference(tautology,[status(thm)],[])).
% 218.38/140.99 tff(20662,plain,
% 218.38/140.99 ((~v106(constB11)) | (~((~v107(constB11)) | (~v120(constB11))))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20661, 20133])).
% 218.38/140.99 tff(20663,plain,
% 218.38/140.99 (~((~v107(constB11)) | (~v120(constB11)))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20662, 20660])).
% 218.38/140.99 tff(20664,plain,
% 218.38/140.99 (((~v107(constB11)) | (~v120(constB11))) | v107(constB11)),
% 218.38/140.99 inference(tautology,[status(thm)],[])).
% 218.38/140.99 tff(20665,plain,
% 218.38/140.99 (v107(constB11)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20664, 20663])).
% 218.38/140.99 tff(20666,plain,
% 218.38/140.99 ((~(v107(constB11) <=> (v108(constB11) | v119(constB11)))) | (~v107(constB11)) | (v108(constB11) | v119(constB11))),
% 218.38/140.99 inference(tautology,[status(thm)],[])).
% 218.38/140.99 tff(20667,plain,
% 218.38/140.99 ((~v107(constB11)) | (v108(constB11) | v119(constB11))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20666, 20148])).
% 218.38/140.99 tff(20668,plain,
% 218.38/140.99 (v108(constB11) | v119(constB11)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20667, 20665])).
% 218.38/140.99 tff(20669,assumption,(~v102(constB9)), introduced(assumption)).
% 218.38/140.99 tff(20670,plain,
% 218.38/140.99 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 218.38/140.99 inference(rewrite,[status(thm)],[])).
% 218.38/140.99 tff(20671,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9')).
% 218.38/140.99 tff(20672,plain,
% 218.38/140.99 (nextState(constB9, constB10)),
% 218.38/140.99 inference(modus_ponens,[status(thm)],[20671, 20670])).
% 218.38/140.99 tff(20673,plain,
% 218.38/140.99 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9)))),
% 218.38/140.99 inference(rewrite,[status(thm)],[])).
% 218.38/140.99 tff(20674,plain,
% 218.38/140.99 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9)))),
% 218.38/140.99 inference(quant_inst,[status(thm)],[])).
% 218.38/140.99 tff(20675,plain,
% 218.38/140.99 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9))),
% 218.38/140.99 inference(modus_ponens,[status(thm)],[20674, 20673])).
% 218.38/140.99 tff(20676,plain,
% 218.38/140.99 (v104(constB10) <=> v102(constB9)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20675, 20672, 101])).
% 218.38/140.99 tff(20677,plain,
% 218.38/140.99 ((~(v104(constB10) <=> v102(constB9))) | (~v104(constB10)) | v102(constB9)),
% 218.38/140.99 inference(tautology,[status(thm)],[])).
% 218.38/140.99 tff(20678,plain,
% 218.38/140.99 ((~v104(constB10)) | v102(constB9)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20677, 20676])).
% 218.38/140.99 tff(20679,plain,
% 218.38/140.99 (~v104(constB10)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20678, 20669])).
% 218.38/140.99 tff(20680,plain,
% 218.38/140.99 (((~v95(constB10)) | (~v104(constB10))) | v104(constB10)),
% 218.38/140.99 inference(tautology,[status(thm)],[])).
% 218.38/140.99 tff(20681,plain,
% 218.38/140.99 ((~v95(constB10)) | (~v104(constB10))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20680, 20679])).
% 218.38/140.99 tff(20682,plain,
% 218.38/140.99 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10))))))),
% 218.38/140.99 inference(rewrite,[status(thm)],[])).
% 218.38/140.99 tff(20683,plain,
% 218.38/140.99 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10))))))),
% 218.38/140.99 inference(quant_inst,[status(thm)],[])).
% 218.38/140.99 tff(20684,plain,
% 218.38/140.99 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10)))))),
% 218.38/140.99 inference(modus_ponens,[status(thm)],[20683, 20682])).
% 218.38/140.99 tff(20685,plain,
% 218.38/140.99 (v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10))))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20684, 20672, 14])).
% 218.38/140.99 tff(20686,plain,
% 218.38/140.99 ((~(v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10)))))) | (~v94(constB10)) | (~((~v95(constB10)) | (~v104(constB10))))),
% 218.38/140.99 inference(tautology,[status(thm)],[])).
% 218.38/140.99 tff(20687,plain,
% 218.38/140.99 ((~v94(constB10)) | (~((~v95(constB10)) | (~v104(constB10))))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20686, 20685])).
% 218.38/140.99 tff(20688,plain,
% 218.38/140.99 (~v94(constB10)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20687, 20681])).
% 218.38/140.99 tff(20689,plain,
% 218.38/140.99 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB10) | (~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB10) | (~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B))))),
% 218.38/140.99 inference(rewrite,[status(thm)],[])).
% 218.38/140.99 tff(20690,plain,
% 218.38/140.99 ((v94(constB10) | (~nextState(constB9, constB10)) | ![B: $int] : ((v84(constB10, B) <=> v84(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB10) | (~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B))))),
% 218.38/140.99 inference(rewrite,[status(thm)],[])).
% 218.38/140.99 tff(20691,plain,
% 218.38/140.99 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB10) | (~nextState(constB9, constB10)) | ![B: $int] : ((v84(constB10, B) <=> v84(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB10) | (~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))))),
% 218.38/140.99 inference(monotonicity,[status(thm)],[20690])).
% 218.38/140.99 tff(20692,plain,
% 218.38/140.99 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB10) | (~nextState(constB9, constB10)) | ![B: $int] : ((v84(constB10, B) <=> v84(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB10) | (~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B))))),
% 218.38/140.99 inference(transitivity,[status(thm)],[20691, 20689])).
% 218.38/140.99 tff(20693,plain,
% 218.38/140.99 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB10) | (~nextState(constB9, constB10)) | ![B: $int] : ((v84(constB10, B) <=> v84(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.38/140.99 inference(quant_inst,[status(thm)],[])).
% 218.38/140.99 tff(20694,plain,
% 218.38/140.99 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB10) | (~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))),
% 218.38/140.99 inference(modus_ponens,[status(thm)],[20693, 20692])).
% 218.38/140.99 tff(20695,plain,
% 218.38/140.99 (v94(constB10) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20694, 20672, 235])).
% 218.38/140.99 tff(20696,plain,
% 218.38/140.99 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20695, 20688])).
% 218.38/140.99 tff(20697,plain,
% 218.38/140.99 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB9) <=> (v111(constB9) | v116(constB9)))),
% 218.38/140.99 inference(quant_inst,[status(thm)],[])).
% 218.38/140.99 tff(20698,plain,
% 218.38/140.99 (v110(constB9) <=> (v111(constB9) | v116(constB9))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20697, 265])).
% 218.38/140.99 tff(20699,assumption,(~v94(constB10)), introduced(assumption)).
% 218.38/140.99 tff(20700,plain,
% 218.38/140.99 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20695, 20699])).
% 218.38/140.99 tff(20701,plain,
% 218.38/140.99 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 2) <=> v84(constB9, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 2) <=> v84(constB9, 2)))),
% 218.38/140.99 inference(rewrite,[status(thm)],[])).
% 218.38/140.99 tff(20702,plain,
% 218.38/140.99 (($false | $false | (v84(constB10, 2) <=> v84(constB9, 2))) <=> (v84(constB10, 2) <=> v84(constB9, 2))),
% 218.38/140.99 inference(rewrite,[status(thm)],[])).
% 218.38/140.99 tff(20703,plain,
% 218.38/140.99 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB10, 2) <=> v84(constB9, 2))) <=> ($false | $false | (v84(constB10, 2) <=> v84(constB9, 2)))),
% 218.38/140.99 inference(monotonicity,[status(thm)],[534, 533])).
% 218.38/140.99 tff(20704,plain,
% 218.38/140.99 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB10, 2) <=> v84(constB9, 2))) <=> (v84(constB10, 2) <=> v84(constB9, 2))),
% 218.38/140.99 inference(transitivity,[status(thm)],[20703, 20702])).
% 218.38/140.99 tff(20705,plain,
% 218.38/140.99 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB10, 2) <=> v84(constB9, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 2) <=> v84(constB9, 2)))),
% 218.38/140.99 inference(monotonicity,[status(thm)],[20704])).
% 218.38/140.99 tff(20706,plain,
% 218.38/140.99 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB10, 2) <=> v84(constB9, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 2) <=> v84(constB9, 2)))),
% 218.38/140.99 inference(transitivity,[status(thm)],[20705, 20701])).
% 218.38/140.99 tff(20707,plain,
% 218.38/140.99 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB10, 2) <=> v84(constB9, 2)))),
% 218.38/140.99 inference(quant_inst,[status(thm)],[])).
% 218.38/140.99 tff(20708,plain,
% 218.38/140.99 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 2) <=> v84(constB9, 2))),
% 218.38/140.99 inference(modus_ponens,[status(thm)],[20707, 20706])).
% 218.38/140.99 tff(20709,plain,
% 218.38/140.99 (v84(constB10, 2) <=> v84(constB9, 2)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20708, 20700])).
% 218.38/140.99 tff(20710,assumption,(~v84(constB10, 2)), introduced(assumption)).
% 218.38/140.99 tff(20711,plain,
% 218.38/140.99 ((~(v84(constB10, 2) <=> v84(constB9, 2))) | v84(constB10, 2) | (~v84(constB9, 2))),
% 218.38/140.99 inference(tautology,[status(thm)],[])).
% 218.38/140.99 tff(20712,plain,
% 218.38/140.99 ((~(v84(constB10, 2) <=> v84(constB9, 2))) | (~v84(constB9, 2))),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20711, 20710])).
% 218.38/140.99 tff(20713,plain,
% 218.38/140.99 (~v84(constB9, 2)),
% 218.38/140.99 inference(unit_resolution,[status(thm)],[20712, 20709])).
% 218.38/140.99 tff(20714,plain,
% 218.38/140.99 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)))))),
% 218.38/140.99 inference(rewrite,[status(thm)],[])).
% 218.38/140.99 tff(20715,plain,
% 218.38/140.99 ((v115(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 2) | (~v84(constB9, 1))))) <=> (v115(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))))),
% 218.38/140.99 inference(rewrite,[status(thm)],[])).
% 218.38/140.99 tff(20716,plain,
% 218.38/140.99 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 2) | (~v84(constB9, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)))))),
% 218.38/140.99 inference(monotonicity,[status(thm)],[20715])).
% 218.38/140.99 tff(20717,plain,
% 218.38/140.99 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 2) | (~v84(constB9, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)))))),
% 218.38/140.99 inference(transitivity,[status(thm)],[20716, 20714])).
% 218.38/140.99 tff(20718,plain,
% 218.38/140.99 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 2) | (~v84(constB9, 1)))))),
% 218.38/140.99 inference(quant_inst,[status(thm)],[])).
% 218.38/140.99 tff(20719,plain,
% 218.38/140.99 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))))),
% 218.45/140.99 inference(modus_ponens,[status(thm)],[20718, 20717])).
% 218.45/140.99 tff(20720,plain,
% 218.45/140.99 (v115(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20719, 622])).
% 218.45/140.99 tff(20721,plain,
% 218.45/140.99 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB9) <=> (v112(constB9) | v115(constB9)))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20722,plain,
% 218.45/140.99 (v111(constB9) <=> (v112(constB9) | v115(constB9))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20721, 274])).
% 218.45/140.99 tff(20723,assumption,(~(v111(constB9) | v116(constB9))), introduced(assumption)).
% 218.45/140.99 tff(20724,plain,
% 218.45/140.99 ((v111(constB9) | v116(constB9)) | (~v111(constB9))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20725,plain,
% 218.45/140.99 (~v111(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20724, 20723])).
% 218.45/140.99 tff(20726,plain,
% 218.45/140.99 ((~(v111(constB9) <=> (v112(constB9) | v115(constB9)))) | v111(constB9) | (~(v112(constB9) | v115(constB9)))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20727,plain,
% 218.45/140.99 (~(v112(constB9) | v115(constB9))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20726, 20725, 20722])).
% 218.45/140.99 tff(20728,plain,
% 218.45/140.99 ((v112(constB9) | v115(constB9)) | (~v115(constB9))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20729,plain,
% 218.45/140.99 (~v115(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20728, 20727])).
% 218.45/140.99 tff(20730,plain,
% 218.45/140.99 ((~(v115(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))))) | v115(constB9) | ((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20731,plain,
% 218.45/140.99 ((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20730, 20729, 20720])).
% 218.45/140.99 tff(20732,assumption,(~v84(constB9, 2)), introduced(assumption)).
% 218.45/140.99 tff(20733,plain,
% 218.45/140.99 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))))))),
% 218.45/140.99 inference(rewrite,[status(thm)],[])).
% 218.45/140.99 tff(20734,plain,
% 218.45/140.99 ((v116(constB9) <=> (~(v84(constB9, 2) | (~v84(constB9, 1)) | (~v84(constB9, 0))))) <=> (v116(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0)))))),
% 218.45/140.99 inference(rewrite,[status(thm)],[])).
% 218.45/140.99 tff(20735,plain,
% 218.45/140.99 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB9) <=> (~(v84(constB9, 2) | (~v84(constB9, 1)) | (~v84(constB9, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))))))),
% 218.45/140.99 inference(monotonicity,[status(thm)],[20734])).
% 218.45/140.99 tff(20736,plain,
% 218.45/140.99 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB9) <=> (~(v84(constB9, 2) | (~v84(constB9, 1)) | (~v84(constB9, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))))))),
% 218.45/140.99 inference(transitivity,[status(thm)],[20735, 20733])).
% 218.45/140.99 tff(20737,plain,
% 218.45/140.99 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB9) <=> (~(v84(constB9, 2) | (~v84(constB9, 1)) | (~v84(constB9, 0)))))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20738,plain,
% 218.45/140.99 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0)))))),
% 218.45/140.99 inference(modus_ponens,[status(thm)],[20737, 20736])).
% 218.45/140.99 tff(20739,plain,
% 218.45/140.99 (v116(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20738, 521])).
% 218.45/140.99 tff(20740,plain,
% 218.45/140.99 ((v111(constB9) | v116(constB9)) | (~v116(constB9))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20741,plain,
% 218.45/140.99 (~v116(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20740, 20723])).
% 218.45/140.99 tff(20742,plain,
% 218.45/140.99 ((~(v116(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0)))))) | v116(constB9) | ((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0)))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20743,plain,
% 218.45/140.99 ((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20742, 20741, 20739])).
% 218.45/140.99 tff(20744,plain,
% 218.45/140.99 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0)))))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20745,plain,
% 218.45/140.99 (v114(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20744, 298])).
% 218.45/140.99 tff(20746,plain,
% 218.45/140.99 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB9) <=> (v113(constB9) | v114(constB9)))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20747,plain,
% 218.45/140.99 (v112(constB9) <=> (v113(constB9) | v114(constB9))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20746, 283])).
% 218.45/140.99 tff(20748,plain,
% 218.45/140.99 ((v112(constB9) | v115(constB9)) | (~v112(constB9))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20749,plain,
% 218.45/140.99 (~v112(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20748, 20727])).
% 218.45/140.99 tff(20750,plain,
% 218.45/140.99 ((~(v112(constB9) <=> (v113(constB9) | v114(constB9)))) | v112(constB9) | (~(v113(constB9) | v114(constB9)))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20751,plain,
% 218.45/140.99 (~(v113(constB9) | v114(constB9))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20750, 20749, 20747])).
% 218.45/140.99 tff(20752,plain,
% 218.45/140.99 ((v113(constB9) | v114(constB9)) | (~v114(constB9))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20753,plain,
% 218.45/140.99 (~v114(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20752, 20751])).
% 218.45/140.99 tff(20754,plain,
% 218.45/140.99 ((~(v114(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0)))))) | v114(constB9) | (v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0)))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20755,plain,
% 218.45/140.99 (v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20754, 20753, 20745])).
% 218.45/140.99 tff(20756,assumption,((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))), introduced(assumption)).
% 218.45/140.99 tff(20757,assumption,(v84(constB9, 0)), introduced(assumption)).
% 218.45/140.99 tff(20758,assumption,(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))), introduced(assumption)).
% 218.45/140.99 tff(20759,plain,
% 218.45/140.99 ((~(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0)))) | v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20760,plain,
% 218.45/140.99 (v84(constB9, 1)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20759, 20732, 20757, 20758])).
% 218.45/140.99 tff(20761,plain,
% 218.45/140.99 ((~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0)))) | (~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20762,plain,
% 218.45/140.99 ($false),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20761, 20760, 20732, 20757, 20756])).
% 218.45/140.99 tff(20763,plain,(v84(constB9, 2) | (~v84(constB9, 0)) | (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0)))) | (~(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.45/140.99 tff(20764,plain,
% 218.45/140.99 (~v84(constB9, 0)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20763, 20755, 20732, 20743])).
% 218.45/140.99 tff(20765,plain,
% 218.45/140.99 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2))))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20766,plain,
% 218.45/140.99 (v113(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20765, 597])).
% 218.45/140.99 tff(20767,plain,
% 218.45/140.99 ((v113(constB9) | v114(constB9)) | (~v113(constB9))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20768,plain,
% 218.45/140.99 (~v113(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20767, 20751])).
% 218.45/140.99 tff(20769,plain,
% 218.45/140.99 ((~(v113(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2))))) | v113(constB9) | (v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20770,plain,
% 218.45/140.99 (v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20769, 20768, 20766])).
% 218.45/140.99 tff(20771,plain,
% 218.45/140.99 ((~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2))) | v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20772,plain,
% 218.45/140.99 (v84(constB9, 1)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20771, 20764, 20732, 20770])).
% 218.45/140.99 tff(20773,plain,
% 218.45/140.99 ((~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))) | (~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20774,plain,
% 218.45/140.99 ($false),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20773, 20772, 20764, 20732, 20731])).
% 218.45/140.99 tff(20775,plain,((v111(constB9) | v116(constB9)) | v84(constB9, 2)), inference(lemma,lemma(discharge,[]))).
% 218.45/140.99 tff(20776,plain,
% 218.45/140.99 (v111(constB9) | v116(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20775, 20713])).
% 218.45/140.99 tff(20777,plain,
% 218.45/140.99 ((~(v110(constB9) <=> (v111(constB9) | v116(constB9)))) | v110(constB9) | (~(v111(constB9) | v116(constB9)))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20778,plain,
% 218.45/140.99 ((~(v110(constB9) <=> (v111(constB9) | v116(constB9)))) | v110(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20777, 20776])).
% 218.45/140.99 tff(20779,plain,
% 218.45/140.99 (v110(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20778, 20698])).
% 218.45/140.99 tff(20780,plain,
% 218.45/140.99 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB9) <=> (v110(constB9) | v117(constB9)))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20781,plain,
% 218.45/140.99 (v109(constB9) <=> (v110(constB9) | v117(constB9))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20780, 456])).
% 218.45/140.99 tff(20782,plain,
% 218.45/140.99 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB9) <=> (v109(constB9) | v118(constB9)))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20783,plain,
% 218.45/140.99 (v108(constB9) <=> (v109(constB9) | v118(constB9))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20782, 428])).
% 218.45/140.99 tff(20784,plain,
% 218.45/140.99 (v107(constB9) <=> (v108(constB9) | v119(constB9))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20637, 187])).
% 218.45/140.99 tff(20785,plain,
% 218.45/140.99 ((~(v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10)))))) | v94(constB10) | ((~v95(constB10)) | (~v104(constB10)))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20786,plain,
% 218.45/140.99 (v94(constB10) | ((~v95(constB10)) | (~v104(constB10)))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20785, 20685])).
% 218.45/140.99 tff(20787,plain,
% 218.45/140.99 ((~v95(constB10)) | (~v104(constB10))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20786, 20699])).
% 218.45/140.99 tff(20788,plain,
% 218.45/140.99 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))),
% 218.45/140.99 inference(rewrite,[status(thm)],[])).
% 218.45/140.99 tff(20789,plain,
% 218.45/140.99 (((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10)))))) <=> ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))),
% 218.45/140.99 inference(rewrite,[status(thm)],[])).
% 218.45/140.99 tff(20790,plain,
% 218.45/140.99 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10)))))))),
% 218.45/140.99 inference(monotonicity,[status(thm)],[20789])).
% 218.45/140.99 tff(20791,plain,
% 218.45/140.99 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))),
% 218.45/140.99 inference(transitivity,[status(thm)],[20790, 20788])).
% 218.45/140.99 tff(20792,plain,
% 218.45/140.99 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10))))))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20793,plain,
% 218.45/140.99 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10)))))),
% 218.45/140.99 inference(modus_ponens,[status(thm)],[20792, 20791])).
% 218.45/140.99 tff(20794,plain,
% 218.45/140.99 (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20793, 20672, 37])).
% 218.45/140.99 tff(20795,plain,
% 218.45/140.99 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10)))),
% 218.45/140.99 inference(rewrite,[status(thm)],[])).
% 218.45/140.99 tff(20796,plain,
% 218.45/140.99 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10)))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20797,plain,
% 218.45/140.99 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10))),
% 218.45/140.99 inference(modus_ponens,[status(thm)],[20796, 20795])).
% 218.45/140.99 tff(20798,plain,
% 218.45/140.99 ((~v96(constB10)) <=> v98(constB10)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20797, 20672, 54])).
% 218.45/140.99 tff(20799,plain,
% 218.45/140.99 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9)))),
% 218.45/140.99 inference(rewrite,[status(thm)],[])).
% 218.45/140.99 tff(20800,plain,
% 218.45/140.99 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9)))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20801,plain,
% 218.45/140.99 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9))),
% 218.45/140.99 inference(modus_ponens,[status(thm)],[20800, 20799])).
% 218.45/140.99 tff(20802,plain,
% 218.45/140.99 (v98(constB10) <=> v1(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20801, 20672, 68])).
% 218.45/140.99 tff(20803,plain,
% 218.45/140.99 ((~v1(constB9)) <=> (~v1(constB9))),
% 218.45/140.99 inference(rewrite,[status(thm)],[])).
% 218.45/140.99 tff(20804,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9')).
% 218.45/140.99 tff(20805,plain,
% 218.45/140.99 (~v1(constB9)),
% 218.45/140.99 inference(modus_ponens,[status(thm)],[20804, 20803])).
% 218.45/140.99 tff(20806,plain,
% 218.45/140.99 ((~(v98(constB10) <=> v1(constB9))) | (~v98(constB10)) | v1(constB9)),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20807,plain,
% 218.45/140.99 ((~(v98(constB10) <=> v1(constB9))) | (~v98(constB10))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20806, 20805])).
% 218.45/140.99 tff(20808,plain,
% 218.45/140.99 (~v98(constB10)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20807, 20802])).
% 218.45/140.99 tff(20809,plain,
% 218.45/140.99 ((~((~v96(constB10)) <=> v98(constB10))) | v96(constB10) | v98(constB10)),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20810,plain,
% 218.45/140.99 (v96(constB10)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20809, 20808, 20798])).
% 218.45/140.99 tff(20811,plain,
% 218.45/140.99 (v1(constB10) <=> v1(constB10)),
% 218.45/140.99 inference(rewrite,[status(thm)],[])).
% 218.45/140.99 tff(20812,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10')).
% 218.45/140.99 tff(20813,plain,
% 218.45/140.99 (v1(constB10)),
% 218.45/140.99 inference(modus_ponens,[status(thm)],[20812, 20811])).
% 218.45/140.99 tff(20814,plain,
% 218.45/140.99 ((~((~v1(constB10)) | (~v96(constB10)))) | (~v1(constB10)) | (~v96(constB10))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20815,plain,
% 218.45/140.99 ((~((~v1(constB10)) | (~v96(constB10)))) | (~v96(constB10))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20814, 20813])).
% 218.45/140.99 tff(20816,plain,
% 218.45/140.99 (~((~v1(constB10)) | (~v96(constB10)))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20815, 20810])).
% 218.45/140.99 tff(20817,plain,
% 218.45/140.99 ((~(v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10)))))) | v95(constB10) | ((~v1(constB10)) | (~v96(constB10)))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20818,plain,
% 218.45/140.99 (v95(constB10)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20817, 20816, 20794])).
% 218.45/140.99 tff(20819,plain,
% 218.45/140.99 ((~((~v95(constB10)) | (~v104(constB10)))) | (~v95(constB10)) | (~v104(constB10))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20820,plain,
% 218.45/140.99 ((~((~v95(constB10)) | (~v104(constB10)))) | (~v104(constB10))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20819, 20818])).
% 218.45/140.99 tff(20821,plain,
% 218.45/140.99 (~v104(constB10)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20820, 20787])).
% 218.45/140.99 tff(20822,plain,
% 218.45/140.99 ((~(v104(constB10) <=> v102(constB9))) | v104(constB10) | (~v102(constB9))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20823,plain,
% 218.45/140.99 (v104(constB10) | (~v102(constB9))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20822, 20676])).
% 218.45/140.99 tff(20824,plain,
% 218.45/140.99 (~v102(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20823, 20821])).
% 218.45/140.99 tff(20825,plain,
% 218.45/140.99 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB9) <=> (v105(constB9) | v106(constB9)))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20826,plain,
% 218.45/140.99 (v102(constB9) <=> (v105(constB9) | v106(constB9))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20825, 115])).
% 218.45/140.99 tff(20827,plain,
% 218.45/140.99 ((~(v102(constB9) <=> (v105(constB9) | v106(constB9)))) | v102(constB9) | (~(v105(constB9) | v106(constB9)))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20828,plain,
% 218.45/140.99 (v102(constB9) | (~(v105(constB9) | v106(constB9)))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20827, 20826])).
% 218.45/140.99 tff(20829,plain,
% 218.45/140.99 (~(v105(constB9) | v106(constB9))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20828, 20824])).
% 218.45/140.99 tff(20830,plain,
% 218.45/140.99 ((v105(constB9) | v106(constB9)) | (~v106(constB9))),
% 218.45/140.99 inference(tautology,[status(thm)],[])).
% 218.45/140.99 tff(20831,plain,
% 218.45/140.99 (~v106(constB9)),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20830, 20829])).
% 218.45/140.99 tff(20832,plain,
% 218.45/140.99 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB9) <=> (~((~v107(constB9)) | (~v120(constB9)))))),
% 218.45/140.99 inference(quant_inst,[status(thm)],[])).
% 218.45/140.99 tff(20833,plain,
% 218.45/140.99 (v106(constB9) <=> (~((~v107(constB9)) | (~v120(constB9))))),
% 218.45/140.99 inference(unit_resolution,[status(thm)],[20832, 132])).
% 218.45/140.99 tff(20834,plain,
% 218.45/140.99 ((~(v106(constB9) <=> (~((~v107(constB9)) | (~v120(constB9)))))) | v106(constB9) | ((~v107(constB9)) | (~v120(constB9)))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20835,plain,
% 218.45/141.00 (v106(constB9) | ((~v107(constB9)) | (~v120(constB9)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20834, 20833])).
% 218.45/141.00 tff(20836,plain,
% 218.45/141.00 ((~v107(constB9)) | (~v120(constB9))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20835, 20831])).
% 218.45/141.00 tff(20837,plain,
% 218.45/141.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB9)) <=> v105(constB9))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20838,plain,
% 218.45/141.00 ((~v120(constB9)) <=> v105(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20837, 144])).
% 218.45/141.00 tff(20839,plain,
% 218.45/141.00 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB9) <=> v26(constB9))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20840,plain,
% 218.45/141.00 (v105(constB9) <=> v26(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20839, 156])).
% 218.45/141.00 tff(20841,plain,
% 218.45/141.00 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20842,plain,
% 218.45/141.00 (~v26(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20841, 168])).
% 218.45/141.00 tff(20843,plain,
% 218.45/141.00 ((~(v105(constB9) <=> v26(constB9))) | (~v105(constB9)) | v26(constB9)),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20844,plain,
% 218.45/141.00 ((~(v105(constB9) <=> v26(constB9))) | (~v105(constB9))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20843, 20842])).
% 218.45/141.00 tff(20845,plain,
% 218.45/141.00 (~v105(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20844, 20840])).
% 218.45/141.00 tff(20846,plain,
% 218.45/141.00 ((~((~v120(constB9)) <=> v105(constB9))) | v120(constB9) | v105(constB9)),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20847,plain,
% 218.45/141.00 ((~((~v120(constB9)) <=> v105(constB9))) | v120(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20846, 20845])).
% 218.45/141.00 tff(20848,plain,
% 218.45/141.00 (v120(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20847, 20838])).
% 218.45/141.00 tff(20849,plain,
% 218.45/141.00 ((~((~v107(constB9)) | (~v120(constB9)))) | (~v107(constB9)) | (~v120(constB9))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20850,plain,
% 218.45/141.00 ((~((~v107(constB9)) | (~v120(constB9)))) | (~v107(constB9))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20849, 20848])).
% 218.45/141.00 tff(20851,plain,
% 218.45/141.00 (~v107(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20850, 20836])).
% 218.45/141.00 tff(20852,plain,
% 218.45/141.00 ((~(v107(constB9) <=> (v108(constB9) | v119(constB9)))) | v107(constB9) | (~(v108(constB9) | v119(constB9)))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20853,plain,
% 218.45/141.00 ((~(v107(constB9) <=> (v108(constB9) | v119(constB9)))) | (~(v108(constB9) | v119(constB9)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20852, 20851])).
% 218.45/141.00 tff(20854,plain,
% 218.45/141.00 (~(v108(constB9) | v119(constB9))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20853, 20784])).
% 218.45/141.00 tff(20855,plain,
% 218.45/141.00 ((v108(constB9) | v119(constB9)) | (~v108(constB9))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20856,plain,
% 218.45/141.00 (~v108(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20855, 20854])).
% 218.45/141.00 tff(20857,plain,
% 218.45/141.00 ((~(v108(constB9) <=> (v109(constB9) | v118(constB9)))) | v108(constB9) | (~(v109(constB9) | v118(constB9)))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20858,plain,
% 218.45/141.00 ((~(v108(constB9) <=> (v109(constB9) | v118(constB9)))) | (~(v109(constB9) | v118(constB9)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20857, 20856])).
% 218.45/141.00 tff(20859,plain,
% 218.45/141.00 (~(v109(constB9) | v118(constB9))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20858, 20783])).
% 218.45/141.00 tff(20860,plain,
% 218.45/141.00 ((v109(constB9) | v118(constB9)) | (~v109(constB9))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20861,plain,
% 218.45/141.00 (~v109(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20860, 20859])).
% 218.45/141.00 tff(20862,plain,
% 218.45/141.00 ((~(v109(constB9) <=> (v110(constB9) | v117(constB9)))) | v109(constB9) | (~(v110(constB9) | v117(constB9)))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20863,plain,
% 218.45/141.00 ((~(v109(constB9) <=> (v110(constB9) | v117(constB9)))) | (~(v110(constB9) | v117(constB9)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20862, 20861])).
% 218.45/141.00 tff(20864,plain,
% 218.45/141.00 (~(v110(constB9) | v117(constB9))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20863, 20781])).
% 218.45/141.00 tff(20865,plain,
% 218.45/141.00 ((v110(constB9) | v117(constB9)) | (~v110(constB9))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20866,plain,
% 218.45/141.00 ($false),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20865, 20864, 20779])).
% 218.45/141.00 tff(20867,plain,(v94(constB10) | v84(constB10, 2)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.00 tff(20868,plain,
% 218.45/141.00 (v84(constB10, 2)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20867, 20688])).
% 218.45/141.00 tff(20869,assumption,(v84(constB10, 2)), introduced(assumption)).
% 218.45/141.00 tff(20870,plain,
% 218.45/141.00 ((~(v84(constB10, 2) <=> v84(constB9, 2))) | (~v84(constB10, 2)) | v84(constB9, 2)),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20871,plain,
% 218.45/141.00 (~(v84(constB10, 2) <=> v84(constB9, 2))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20870, 20732, 20869])).
% 218.45/141.00 tff(20872,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))), introduced(assumption)).
% 218.45/141.00 tff(20873,plain,
% 218.45/141.00 ($false),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20708, 20872, 20871])).
% 218.45/141.00 tff(20874,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | v84(constB9, 2) | (~v84(constB10, 2))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.00 tff(20875,plain,
% 218.45/141.00 (v84(constB9, 2)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20874, 20868, 20696])).
% 218.45/141.00 tff(20876,plain,
% 218.45/141.00 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20877,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10')).
% 218.45/141.00 tff(20878,plain,
% 218.45/141.00 (nextState(constB10, constB11)),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[20877, 20876])).
% 218.45/141.00 tff(20879,plain,
% 218.45/141.00 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11))))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20880,plain,
% 218.45/141.00 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11))))))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20881,plain,
% 218.45/141.00 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11)))))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[20880, 20879])).
% 218.45/141.00 tff(20882,plain,
% 218.45/141.00 (v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11))))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20881, 20878, 14])).
% 218.45/141.00 tff(20883,plain,
% 218.45/141.00 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20884,plain,
% 218.45/141.00 (((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11)))))) <=> ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20885,plain,
% 218.45/141.00 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[20884])).
% 218.45/141.00 tff(20886,plain,
% 218.45/141.00 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20885, 20883])).
% 218.45/141.00 tff(20887,plain,
% 218.45/141.00 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11))))))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20888,plain,
% 218.45/141.00 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[20887, 20886])).
% 218.45/141.00 tff(20889,plain,
% 218.45/141.00 (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20888, 20878, 37])).
% 218.45/141.00 tff(20890,plain,
% 218.45/141.00 (((~v1(constB11)) | (~v96(constB11))) | v1(constB11)),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20891,plain,
% 218.45/141.00 ((~v1(constB11)) | (~v96(constB11))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20890, 20100])).
% 218.45/141.00 tff(20892,plain,
% 218.45/141.00 ((~(v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))) | (~v95(constB11)) | (~((~v1(constB11)) | (~v96(constB11))))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20893,plain,
% 218.45/141.00 ((~(v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))) | (~v95(constB11))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20892, 20891])).
% 218.45/141.00 tff(20894,plain,
% 218.45/141.00 (~v95(constB11)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20893, 20889])).
% 218.45/141.00 tff(20895,plain,
% 218.45/141.00 (((~v95(constB11)) | (~v104(constB11))) | v95(constB11)),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20896,plain,
% 218.45/141.00 ((~v95(constB11)) | (~v104(constB11))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20895, 20894])).
% 218.45/141.00 tff(20897,plain,
% 218.45/141.00 ((~(v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11)))))) | (~v94(constB11)) | (~((~v95(constB11)) | (~v104(constB11))))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20898,plain,
% 218.45/141.00 (~v94(constB11)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20897, 20896, 20882])).
% 218.45/141.00 tff(20899,plain,
% 218.45/141.00 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB11) | (~nextState(constB10, constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB11) | (~nextState(constB10, constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20900,plain,
% 218.45/141.00 ((v94(constB11) | (~nextState(constB10, constB11)) | ![B: $int] : ((v84(constB11, B) <=> v84(constB10, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB11) | (~nextState(constB10, constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20901,plain,
% 218.45/141.00 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB11) | (~nextState(constB10, constB11)) | ![B: $int] : ((v84(constB11, B) <=> v84(constB10, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB11) | (~nextState(constB10, constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[20900])).
% 218.45/141.00 tff(20902,plain,
% 218.45/141.00 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB11) | (~nextState(constB10, constB11)) | ![B: $int] : ((v84(constB11, B) <=> v84(constB10, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB11) | (~nextState(constB10, constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B))))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20901, 20899])).
% 218.45/141.00 tff(20903,plain,
% 218.45/141.00 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB11) | (~nextState(constB10, constB11)) | ![B: $int] : ((v84(constB11, B) <=> v84(constB10, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20904,plain,
% 218.45/141.00 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB11) | (~nextState(constB10, constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[20903, 20902])).
% 218.45/141.00 tff(20905,plain,
% 218.45/141.00 (v94(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20904, 20878, 235])).
% 218.45/141.00 tff(20906,plain,
% 218.45/141.00 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20905, 20898])).
% 218.45/141.00 tff(20907,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 0) <=> v84(constB10, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 0) <=> v84(constB10, 0)))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20908,plain,
% 218.45/141.00 (($false | $false | (v84(constB11, 0) <=> v84(constB10, 0))) <=> (v84(constB11, 0) <=> v84(constB10, 0))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20909,plain,
% 218.45/141.00 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB11, 0) <=> v84(constB10, 0))) <=> ($false | $false | (v84(constB11, 0) <=> v84(constB10, 0)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.00 tff(20910,plain,
% 218.45/141.00 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB11, 0) <=> v84(constB10, 0))) <=> (v84(constB11, 0) <=> v84(constB10, 0))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20909, 20908])).
% 218.45/141.00 tff(20911,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB11, 0) <=> v84(constB10, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 0) <=> v84(constB10, 0)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[20910])).
% 218.45/141.00 tff(20912,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB11, 0) <=> v84(constB10, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 0) <=> v84(constB10, 0)))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20911, 20907])).
% 218.45/141.00 tff(20913,plain,
% 218.45/141.00 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB11, 0) <=> v84(constB10, 0)))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20914,plain,
% 218.45/141.00 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 0) <=> v84(constB10, 0))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[20913, 20912])).
% 218.45/141.00 tff(20915,plain,
% 218.45/141.00 (v84(constB11, 0) <=> v84(constB10, 0)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20914, 20906])).
% 218.45/141.00 tff(20916,assumption,(~(v84(constB11, 2) <=> v84(constB10, 2))), introduced(assumption)).
% 218.45/141.00 tff(20917,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 2) <=> v84(constB10, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 2) <=> v84(constB10, 2)))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20918,plain,
% 218.45/141.00 (($false | $false | (v84(constB11, 2) <=> v84(constB10, 2))) <=> (v84(constB11, 2) <=> v84(constB10, 2))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20919,plain,
% 218.45/141.00 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB11, 2) <=> v84(constB10, 2))) <=> ($false | $false | (v84(constB11, 2) <=> v84(constB10, 2)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[534, 533])).
% 218.45/141.00 tff(20920,plain,
% 218.45/141.00 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB11, 2) <=> v84(constB10, 2))) <=> (v84(constB11, 2) <=> v84(constB10, 2))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20919, 20918])).
% 218.45/141.00 tff(20921,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB11, 2) <=> v84(constB10, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 2) <=> v84(constB10, 2)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[20920])).
% 218.45/141.00 tff(20922,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB11, 2) <=> v84(constB10, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 2) <=> v84(constB10, 2)))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20921, 20917])).
% 218.45/141.00 tff(20923,plain,
% 218.45/141.00 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB11, 2) <=> v84(constB10, 2)))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20924,plain,
% 218.45/141.00 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 2) <=> v84(constB10, 2))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[20923, 20922])).
% 218.45/141.00 tff(20925,plain,
% 218.45/141.00 ($false),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20924, 20906, 20916])).
% 218.45/141.00 tff(20926,plain,(v84(constB11, 2) <=> v84(constB10, 2)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.00 tff(20927,plain,
% 218.45/141.00 ((~(v84(constB11, 2) <=> v84(constB10, 2))) | v84(constB11, 2) | (~v84(constB10, 2))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20928,plain,
% 218.45/141.00 (v84(constB11, 2) | (~v84(constB10, 2))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20927, 20926])).
% 218.45/141.00 tff(20929,plain,
% 218.45/141.00 (v84(constB11, 2)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20928, 20868])).
% 218.45/141.00 tff(20930,plain,
% 218.45/141.00 ((v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))) | (~v84(constB11, 2))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20931,plain,
% 218.45/141.00 (v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20930, 20929])).
% 218.45/141.00 tff(20932,plain,
% 218.45/141.00 ((v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)) | (~v84(constB11, 2))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20933,plain,
% 218.45/141.00 (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20932, 20929])).
% 218.45/141.00 tff(20934,plain,
% 218.45/141.00 (((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)) | (~v84(constB11, 1))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20935,plain,
% 218.45/141.00 (~v84(constB11, 1)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20934, 20301])).
% 218.45/141.00 tff(20936,assumption,(v84(constB9, 2)), introduced(assumption)).
% 218.45/141.00 tff(20937,plain,
% 218.45/141.00 (((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)) | (~v84(constB9, 2))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20938,plain,
% 218.45/141.00 ((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20937, 20936])).
% 218.45/141.00 tff(20939,assumption,(~(v115(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))))), introduced(assumption)).
% 218.45/141.00 tff(20940,plain,
% 218.45/141.00 ($false),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20719, 622, 20939])).
% 218.45/141.00 tff(20941,plain,(v115(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.00 tff(20942,plain,
% 218.45/141.00 ((~(v115(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))))) | (~v115(constB9)) | (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20943,plain,
% 218.45/141.00 ((~v115(constB9)) | (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20942, 20941])).
% 218.45/141.00 tff(20944,plain,
% 218.45/141.00 (~v115(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20943, 20938])).
% 218.45/141.00 tff(20945,plain,
% 218.45/141.00 (((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)) | (~v84(constB11, 0))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20946,plain,
% 218.45/141.00 (~v84(constB11, 0)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20945, 20301])).
% 218.45/141.00 tff(20947,assumption,(~v115(constB9)), introduced(assumption)).
% 218.45/141.00 tff(20948,plain,
% 218.45/141.00 ((~(v84(constB11, 0) <=> v84(constB10, 0))) | v84(constB11, 0) | (~v84(constB10, 0))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20949,plain,
% 218.45/141.00 ((~(v84(constB11, 0) <=> v84(constB10, 0))) | (~v84(constB10, 0))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20948, 20322])).
% 218.45/141.00 tff(20950,plain,
% 218.45/141.00 (~v84(constB10, 0)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20949, 20915])).
% 218.45/141.00 tff(20951,assumption,(v117(constB9)), introduced(assumption)).
% 218.45/141.00 tff(20952,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))), introduced(assumption)).
% 218.45/141.00 tff(20953,plain,
% 218.45/141.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20954,plain,
% 218.45/141.00 (((~v117(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20955,plain,
% 218.45/141.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[20954])).
% 218.45/141.00 tff(20956,plain,
% 218.45/141.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B))))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20955, 20953])).
% 218.45/141.00 tff(20957,plain,
% 218.45/141.00 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20958,plain,
% 218.45/141.00 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[20957, 20956])).
% 218.45/141.00 tff(20959,plain,
% 218.45/141.00 ($false),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20958, 2090, 20952, 20951])).
% 218.45/141.00 tff(20960,plain,((~v117(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.00 tff(20961,plain,
% 218.45/141.00 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20960, 20951])).
% 218.45/141.00 tff(20962,assumption,(~v124(constB9, 0)), introduced(assumption)).
% 218.45/141.00 tff(20963,plain,
% 218.45/141.00 ((~(v124(constB9, 0) <=> b101(0))) | v124(constB9, 0) | (~b101(0))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20964,plain,
% 218.45/141.00 (~(v124(constB9, 0) <=> b101(0))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20963, 2042, 20962])).
% 218.45/141.00 tff(20965,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))), introduced(assumption)).
% 218.45/141.00 tff(20966,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | (v124(constB9, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | (v124(constB9, 0) <=> b101(0)))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20967,plain,
% 218.45/141.00 (($false | $false | (v124(constB9, 0) <=> b101(0))) <=> (v124(constB9, 0) <=> b101(0))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20968,plain,
% 218.45/141.00 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b101(0))) <=> ($false | $false | (v124(constB9, 0) <=> b101(0)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.00 tff(20969,plain,
% 218.45/141.00 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b101(0))) <=> (v124(constB9, 0) <=> b101(0))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20968, 20967])).
% 218.45/141.00 tff(20970,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | (v124(constB9, 0) <=> b101(0)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[20969])).
% 218.45/141.00 tff(20971,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | (v124(constB9, 0) <=> b101(0)))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20970, 20966])).
% 218.45/141.00 tff(20972,plain,
% 218.45/141.00 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b101(0)))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20973,plain,
% 218.45/141.00 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | (v124(constB9, 0) <=> b101(0))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[20972, 20971])).
% 218.45/141.00 tff(20974,plain,
% 218.45/141.00 ($false),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20973, 20965, 20964])).
% 218.45/141.00 tff(20975,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | v124(constB9, 0)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.00 tff(20976,plain,
% 218.45/141.00 (v124(constB9, 0)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20975, 20961])).
% 218.45/141.00 tff(20977,assumption,(~(v121(constB9, 0) <=> v124(constB9, 0))), introduced(assumption)).
% 218.45/141.00 tff(20978,plain,
% 218.45/141.00 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20979,plain,
% 218.45/141.00 ((v105(constB9) | ![B: $int] : ((v121(constB9, B) <=> v124(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20980,plain,
% 218.45/141.00 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB9) | ![B: $int] : ((v121(constB9, B) <=> v124(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[20979])).
% 218.45/141.00 tff(20981,plain,
% 218.45/141.00 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB9) | ![B: $int] : ((v121(constB9, B) <=> v124(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B))))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20980, 20978])).
% 218.45/141.00 tff(20982,plain,
% 218.45/141.00 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB9) | ![B: $int] : ((v121(constB9, B) <=> v124(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20983,plain,
% 218.45/141.00 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[20982, 20981])).
% 218.45/141.00 tff(20984,plain,
% 218.45/141.00 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20983, 1562, 20845])).
% 218.45/141.00 tff(20985,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 0) <=> v124(constB9, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 0) <=> v124(constB9, 0)))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20986,plain,
% 218.45/141.00 (($false | $false | (v121(constB9, 0) <=> v124(constB9, 0))) <=> (v121(constB9, 0) <=> v124(constB9, 0))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(20987,plain,
% 218.45/141.00 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB9, 0) <=> v124(constB9, 0))) <=> ($false | $false | (v121(constB9, 0) <=> v124(constB9, 0)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.00 tff(20988,plain,
% 218.45/141.00 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB9, 0) <=> v124(constB9, 0))) <=> (v121(constB9, 0) <=> v124(constB9, 0))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20987, 20986])).
% 218.45/141.00 tff(20989,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB9, 0) <=> v124(constB9, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 0) <=> v124(constB9, 0)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[20988])).
% 218.45/141.00 tff(20990,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB9, 0) <=> v124(constB9, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 0) <=> v124(constB9, 0)))),
% 218.45/141.00 inference(transitivity,[status(thm)],[20989, 20985])).
% 218.45/141.00 tff(20991,plain,
% 218.45/141.00 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB9, 0) <=> v124(constB9, 0)))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(20992,plain,
% 218.45/141.00 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 0) <=> v124(constB9, 0))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 218.45/141.00 tff(20993,plain,
% 218.45/141.00 ($false),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20992, 20984, 20977])).
% 218.45/141.00 tff(20994,plain,(v121(constB9, 0) <=> v124(constB9, 0)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.00 tff(20995,plain,
% 218.45/141.00 ((~(v121(constB9, 0) <=> v124(constB9, 0))) | v121(constB9, 0) | (~v124(constB9, 0))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(20996,plain,
% 218.45/141.00 (v121(constB9, 0) | (~v124(constB9, 0))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20995, 20994])).
% 218.45/141.00 tff(20997,plain,
% 218.45/141.00 (v121(constB9, 0)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20996, 20976])).
% 218.45/141.00 tff(20998,assumption,(~(v123(constB10, 0) <=> v121(constB9, 0))), introduced(assumption)).
% 218.45/141.00 tff(20999,plain,
% 218.45/141.00 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(21000,plain,
% 218.45/141.00 (((~nextState(constB9, constB10)) | ![B: $int] : ((v123(constB10, B) <=> v121(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(21001,plain,
% 218.45/141.00 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB9, constB10)) | ![B: $int] : ((v123(constB10, B) <=> v121(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[21000])).
% 218.45/141.00 tff(21002,plain,
% 218.45/141.00 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB9, constB10)) | ![B: $int] : ((v123(constB10, B) <=> v121(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B))))),
% 218.45/141.00 inference(transitivity,[status(thm)],[21001, 20999])).
% 218.45/141.00 tff(21003,plain,
% 218.45/141.00 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB9, constB10)) | ![B: $int] : ((v123(constB10, B) <=> v121(constB9, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(21004,plain,
% 218.45/141.00 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB9, constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[21003, 21002])).
% 218.45/141.00 tff(21005,plain,
% 218.45/141.00 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[21004, 20672, 1527])).
% 218.45/141.00 tff(21006,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 0) <=> v121(constB9, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 0) <=> v121(constB9, 0)))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(21007,plain,
% 218.45/141.00 (($false | $false | (v123(constB10, 0) <=> v121(constB9, 0))) <=> (v123(constB10, 0) <=> v121(constB9, 0))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(21008,plain,
% 218.45/141.00 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB10, 0) <=> v121(constB9, 0))) <=> ($false | $false | (v123(constB10, 0) <=> v121(constB9, 0)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.00 tff(21009,plain,
% 218.45/141.00 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB10, 0) <=> v121(constB9, 0))) <=> (v123(constB10, 0) <=> v121(constB9, 0))),
% 218.45/141.00 inference(transitivity,[status(thm)],[21008, 21007])).
% 218.45/141.00 tff(21010,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB10, 0) <=> v121(constB9, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 0) <=> v121(constB9, 0)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[21009])).
% 218.45/141.00 tff(21011,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB10, 0) <=> v121(constB9, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 0) <=> v121(constB9, 0)))),
% 218.45/141.00 inference(transitivity,[status(thm)],[21010, 21006])).
% 218.45/141.00 tff(21012,plain,
% 218.45/141.00 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB10, 0) <=> v121(constB9, 0)))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(21013,plain,
% 218.45/141.00 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 0) <=> v121(constB9, 0))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[21012, 21011])).
% 218.45/141.00 tff(21014,plain,
% 218.45/141.00 ($false),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[21013, 21005, 20998])).
% 218.45/141.00 tff(21015,plain,(v123(constB10, 0) <=> v121(constB9, 0)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.00 tff(21016,plain,
% 218.45/141.00 ((~(v123(constB10, 0) <=> v121(constB9, 0))) | v123(constB10, 0) | (~v121(constB9, 0))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(21017,plain,
% 218.45/141.00 (v123(constB10, 0) | (~v121(constB9, 0))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[21016, 21015])).
% 218.45/141.00 tff(21018,plain,
% 218.45/141.00 (v123(constB10, 0)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[21017, 20997])).
% 218.45/141.00 tff(21019,assumption,(~v84(constB10, 0)), introduced(assumption)).
% 218.45/141.00 tff(21020,plain,
% 218.45/141.00 ((~(v84(constB10, 0) <=> v123(constB10, 0))) | v84(constB10, 0) | (~v123(constB10, 0))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(21021,plain,
% 218.45/141.00 (~(v84(constB10, 0) <=> v123(constB10, 0))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[21020, 21019, 21018])).
% 218.45/141.00 tff(21022,plain,
% 218.45/141.00 ((v110(constB9) | v117(constB9)) | (~v117(constB9))),
% 218.45/141.00 inference(tautology,[status(thm)],[])).
% 218.45/141.00 tff(21023,plain,
% 218.45/141.00 (v110(constB9) | v117(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[21022, 20951])).
% 218.45/141.00 tff(21024,assumption,(~(v109(constB9) <=> (v110(constB9) | v117(constB9)))), introduced(assumption)).
% 218.45/141.00 tff(21025,plain,
% 218.45/141.00 ($false),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20780, 456, 21024])).
% 218.45/141.00 tff(21026,plain,(v109(constB9) <=> (v110(constB9) | v117(constB9))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.00 tff(21027,plain,
% 218.45/141.00 (v109(constB9) | (~(v110(constB9) | v117(constB9)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20862, 21026])).
% 218.45/141.00 tff(21028,plain,
% 218.45/141.00 (v109(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[21027, 21023])).
% 218.45/141.00 tff(21029,plain,
% 218.45/141.00 (v109(constB9) | v118(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20860, 21028])).
% 218.45/141.00 tff(21030,plain,
% 218.45/141.00 ((~(v108(constB9) <=> (v109(constB9) | v118(constB9)))) | v108(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20857, 21029])).
% 218.45/141.00 tff(21031,plain,
% 218.45/141.00 (v108(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[21030, 20783])).
% 218.45/141.00 tff(21032,plain,
% 218.45/141.00 (v108(constB9) | v119(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20855, 21031])).
% 218.45/141.00 tff(21033,plain,
% 218.45/141.00 (v107(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20852, 21032, 20784])).
% 218.45/141.00 tff(21034,plain,
% 218.45/141.00 (~((~v107(constB9)) | (~v120(constB9)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20850, 21033])).
% 218.45/141.00 tff(21035,plain,
% 218.45/141.00 (v106(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20835, 21034])).
% 218.45/141.00 tff(21036,plain,
% 218.45/141.00 (v105(constB9) | v106(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20830, 21035])).
% 218.45/141.00 tff(21037,plain,
% 218.45/141.00 (v102(constB9)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20828, 21036])).
% 218.45/141.00 tff(21038,plain,
% 218.45/141.00 (v104(constB10)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20823, 21037])).
% 218.45/141.00 tff(21039,plain,
% 218.45/141.00 (~((~v95(constB10)) | (~v104(constB10)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20820, 21038])).
% 218.45/141.00 tff(21040,plain,
% 218.45/141.00 (v94(constB10)),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[20786, 21039])).
% 218.45/141.00 tff(21041,plain,
% 218.45/141.00 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(21042,plain,
% 218.45/141.00 (((~v94(constB10)) | ![B: $int] : ((v84(constB10, B) <=> v123(constB10, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B))))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(21043,plain,
% 218.45/141.00 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB10)) | ![B: $int] : ((v84(constB10, B) <=> v123(constB10, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[21042])).
% 218.45/141.00 tff(21044,plain,
% 218.45/141.00 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB10)) | ![B: $int] : ((v84(constB10, B) <=> v123(constB10, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B))))),
% 218.45/141.00 inference(transitivity,[status(thm)],[21043, 21041])).
% 218.45/141.00 tff(21045,plain,
% 218.45/141.00 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB10)) | ![B: $int] : ((v84(constB10, B) <=> v123(constB10, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.00 inference(quant_inst,[status(thm)],[])).
% 218.45/141.00 tff(21046,plain,
% 218.45/141.00 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.45/141.00 inference(modus_ponens,[status(thm)],[21045, 21044])).
% 218.45/141.00 tff(21047,plain,
% 218.45/141.00 ((~v94(constB10)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[21046, 1491])).
% 218.45/141.00 tff(21048,plain,
% 218.45/141.00 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.45/141.00 inference(unit_resolution,[status(thm)],[21047, 21040])).
% 218.45/141.00 tff(21049,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 0) <=> v123(constB10, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 0) <=> v123(constB10, 0)))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(21050,plain,
% 218.45/141.00 (($false | $false | (v84(constB10, 0) <=> v123(constB10, 0))) <=> (v84(constB10, 0) <=> v123(constB10, 0))),
% 218.45/141.00 inference(rewrite,[status(thm)],[])).
% 218.45/141.00 tff(21051,plain,
% 218.45/141.00 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB10, 0) <=> v123(constB10, 0))) <=> ($false | $false | (v84(constB10, 0) <=> v123(constB10, 0)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.00 tff(21052,plain,
% 218.45/141.00 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB10, 0) <=> v123(constB10, 0))) <=> (v84(constB10, 0) <=> v123(constB10, 0))),
% 218.45/141.00 inference(transitivity,[status(thm)],[21051, 21050])).
% 218.45/141.00 tff(21053,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB10, 0) <=> v123(constB10, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 0) <=> v123(constB10, 0)))),
% 218.45/141.00 inference(monotonicity,[status(thm)],[21052])).
% 218.45/141.00 tff(21054,plain,
% 218.45/141.00 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB10, 0) <=> v123(constB10, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 0) <=> v123(constB10, 0)))),
% 218.45/141.00 inference(transitivity,[status(thm)],[21053, 21049])).
% 218.45/141.00 tff(21055,plain,
% 218.45/141.00 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB10, 0) <=> v123(constB10, 0)))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21056,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 0) <=> v123(constB10, 0))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21055, 21054])).
% 218.45/141.01 tff(21057,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21056, 21048, 21021])).
% 218.45/141.01 tff(21058,plain,((~v117(constB9)) | v84(constB10, 0)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21059,plain,
% 218.45/141.01 (~v117(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21058, 20950])).
% 218.45/141.01 tff(21060,plain,
% 218.45/141.01 (((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))) | (~v84(constB9, 2))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21061,plain,
% 218.45/141.01 ((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21060, 20936])).
% 218.45/141.01 tff(21062,assumption,(~(v116(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0)))))), introduced(assumption)).
% 218.45/141.01 tff(21063,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20738, 521, 21062])).
% 218.45/141.01 tff(21064,plain,(v116(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21065,plain,
% 218.45/141.01 ((~(v116(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0)))))) | (~v116(constB9)) | (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21066,plain,
% 218.45/141.01 ((~v116(constB9)) | (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21065, 21064])).
% 218.45/141.01 tff(21067,plain,
% 218.45/141.01 (~v116(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21066, 21061])).
% 218.45/141.01 tff(21068,assumption,(~v84(constB10, 1)), introduced(assumption)).
% 218.45/141.01 tff(21069,plain,
% 218.45/141.01 ((v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))) | (~v84(constB9, 2))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21070,plain,
% 218.45/141.01 (v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21069, 20936])).
% 218.45/141.01 tff(21071,assumption,(~(v114(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0)))))), introduced(assumption)).
% 218.45/141.01 tff(21072,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20744, 298, 21071])).
% 218.45/141.01 tff(21073,plain,(v114(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21074,plain,
% 218.45/141.01 ((~(v114(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0)))))) | (~v114(constB9)) | (~(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21075,plain,
% 218.45/141.01 ((~v114(constB9)) | (~(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21074, 21073])).
% 218.45/141.01 tff(21076,plain,
% 218.45/141.01 (~v114(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21075, 21070])).
% 218.45/141.01 tff(21077,assumption,(~v114(constB9)), introduced(assumption)).
% 218.45/141.01 tff(21078,assumption,(~v117(constB9)), introduced(assumption)).
% 218.45/141.01 tff(21079,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))), introduced(assumption)).
% 218.45/141.01 tff(21080,assumption,(v113(constB9)), introduced(assumption)).
% 218.45/141.01 tff(21081,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21082,plain,
% 218.45/141.01 (((~v113(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21083,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21082])).
% 218.45/141.01 tff(21084,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21083, 21081])).
% 218.45/141.01 tff(21085,plain,
% 218.45/141.01 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21086,plain,
% 218.45/141.01 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21085, 21084])).
% 218.45/141.01 tff(21087,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21086, 2117, 21079, 21080])).
% 218.45/141.01 tff(21088,plain,((~v113(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21089,plain,
% 218.45/141.01 (~v113(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21088, 21079])).
% 218.45/141.01 tff(21090,assumption,(~v116(constB9)), introduced(assumption)).
% 218.45/141.01 tff(21091,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v116(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))) | v113(constB9) | v117(constB9) | v114(constB9) | v115(constB9) | v118(constB9))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v116(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))) | v113(constB9) | v117(constB9) | v114(constB9) | v115(constB9) | v118(constB9))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21092,plain,
% 218.45/141.01 ((v118(constB9) | v117(constB9) | v116(constB9) | v115(constB9) | v114(constB9) | v113(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) <=> (v116(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))) | v113(constB9) | v117(constB9) | v114(constB9) | v115(constB9) | v118(constB9))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21093,plain,
% 218.45/141.01 (^[B: $int] : rewrite(((v124(constB9, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))))),
% 218.45/141.01 inference(bind,[status(th)],[])).
% 218.45/141.01 tff(21094,plain,
% 218.45/141.01 (![B: $int] : ((v124(constB9, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))),
% 218.45/141.01 inference(quant_intro,[status(thm)],[21093])).
% 218.45/141.01 tff(21095,plain,
% 218.45/141.01 ((v118(constB9) | v117(constB9) | v116(constB9) | v115(constB9) | v114(constB9) | v113(constB9) | ![B: $int] : ((v124(constB9, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB9) | v117(constB9) | v116(constB9) | v115(constB9) | v114(constB9) | v113(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21094])).
% 218.45/141.01 tff(21096,plain,
% 218.45/141.01 ((v118(constB9) | v117(constB9) | v116(constB9) | v115(constB9) | v114(constB9) | v113(constB9) | ![B: $int] : ((v124(constB9, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v116(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))) | v113(constB9) | v117(constB9) | v114(constB9) | v115(constB9) | v118(constB9))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21095, 21092])).
% 218.45/141.01 tff(21097,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB9) | v117(constB9) | v116(constB9) | v115(constB9) | v114(constB9) | v113(constB9) | ![B: $int] : ((v124(constB9, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v116(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))) | v113(constB9) | v117(constB9) | v114(constB9) | v115(constB9) | v118(constB9)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21096])).
% 218.45/141.01 tff(21098,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB9) | v117(constB9) | v116(constB9) | v115(constB9) | v114(constB9) | v113(constB9) | ![B: $int] : ((v124(constB9, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v116(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))) | v113(constB9) | v117(constB9) | v114(constB9) | v115(constB9) | v118(constB9))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21097, 21091])).
% 218.45/141.01 tff(21099,plain,
% 218.45/141.01 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB9) | v117(constB9) | v116(constB9) | v115(constB9) | v114(constB9) | v113(constB9) | ![B: $int] : ((v124(constB9, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21100,plain,
% 218.45/141.01 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v116(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))) | v113(constB9) | v117(constB9) | v114(constB9) | v115(constB9) | v118(constB9)),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 218.45/141.01 tff(21101,plain,
% 218.45/141.01 (v118(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21100, 1807, 21090, 21079, 20947, 21089, 21078, 21077])).
% 218.45/141.01 tff(21102,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B))))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21103,plain,
% 218.45/141.01 (((~v118(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B))))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21104,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21103])).
% 218.45/141.01 tff(21105,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B))))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21104, 21102])).
% 218.45/141.01 tff(21106,plain,
% 218.45/141.01 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21107,plain,
% 218.45/141.01 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21106, 21105])).
% 218.45/141.01 tff(21108,plain,
% 218.45/141.01 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21107, 1977, 21101])).
% 218.45/141.01 tff(21109,assumption,(~v124(constB9, 1)), introduced(assumption)).
% 218.45/141.01 tff(21110,plain,
% 218.45/141.01 ((~(v124(constB9, 1) <=> b110(1))) | v124(constB9, 1) | (~b110(1))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21111,plain,
% 218.45/141.01 (~(v124(constB9, 1) <=> b110(1))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21110, 1662, 21109])).
% 218.45/141.01 tff(21112,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))), introduced(assumption)).
% 218.45/141.01 tff(21113,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 1) <=> b110(1)))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21114,plain,
% 218.45/141.01 (($false | $false | (v124(constB9, 1) <=> b110(1))) <=> (v124(constB9, 1) <=> b110(1))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21115,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b110(1))) <=> ($false | $false | (v124(constB9, 1) <=> b110(1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.01 tff(21116,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b110(1))) <=> (v124(constB9, 1) <=> b110(1))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21115, 21114])).
% 218.45/141.01 tff(21117,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 1) <=> b110(1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21116])).
% 218.45/141.01 tff(21118,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 1) <=> b110(1)))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21117, 21113])).
% 218.45/141.01 tff(21119,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b110(1)))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21120,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 1) <=> b110(1))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21119, 21118])).
% 218.45/141.01 tff(21121,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21120, 21112, 21111])).
% 218.45/141.01 tff(21122,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | v124(constB9, 1)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21123,plain,
% 218.45/141.01 (v124(constB9, 1)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21122, 21108])).
% 218.45/141.01 tff(21124,assumption,(~(v121(constB9, 1) <=> v124(constB9, 1))), introduced(assumption)).
% 218.45/141.01 tff(21125,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 1) <=> v124(constB9, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 1) <=> v124(constB9, 1)))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21126,plain,
% 218.45/141.01 (($false | $false | (v121(constB9, 1) <=> v124(constB9, 1))) <=> (v121(constB9, 1) <=> v124(constB9, 1))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21127,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB9, 1) <=> v124(constB9, 1))) <=> ($false | $false | (v121(constB9, 1) <=> v124(constB9, 1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.01 tff(21128,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB9, 1) <=> v124(constB9, 1))) <=> (v121(constB9, 1) <=> v124(constB9, 1))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21127, 21126])).
% 218.45/141.01 tff(21129,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB9, 1) <=> v124(constB9, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 1) <=> v124(constB9, 1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21128])).
% 218.45/141.01 tff(21130,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB9, 1) <=> v124(constB9, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 1) <=> v124(constB9, 1)))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21129, 21125])).
% 218.45/141.01 tff(21131,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB9, 1) <=> v124(constB9, 1)))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21132,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 1) <=> v124(constB9, 1))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21131, 21130])).
% 218.45/141.01 tff(21133,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21132, 20984, 21124])).
% 218.45/141.01 tff(21134,plain,(v121(constB9, 1) <=> v124(constB9, 1)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21135,plain,
% 218.45/141.01 ((~(v121(constB9, 1) <=> v124(constB9, 1))) | v121(constB9, 1) | (~v124(constB9, 1))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21136,plain,
% 218.45/141.01 (v121(constB9, 1) | (~v124(constB9, 1))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21135, 21134])).
% 218.45/141.01 tff(21137,plain,
% 218.45/141.01 (v121(constB9, 1)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21136, 21123])).
% 218.45/141.01 tff(21138,assumption,(~(v123(constB10, 1) <=> v121(constB9, 1))), introduced(assumption)).
% 218.45/141.01 tff(21139,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 1) <=> v121(constB9, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 1) <=> v121(constB9, 1)))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21140,plain,
% 218.45/141.01 (($false | $false | (v123(constB10, 1) <=> v121(constB9, 1))) <=> (v123(constB10, 1) <=> v121(constB9, 1))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21141,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB10, 1) <=> v121(constB9, 1))) <=> ($false | $false | (v123(constB10, 1) <=> v121(constB9, 1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.01 tff(21142,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB10, 1) <=> v121(constB9, 1))) <=> (v123(constB10, 1) <=> v121(constB9, 1))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21141, 21140])).
% 218.45/141.01 tff(21143,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB10, 1) <=> v121(constB9, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 1) <=> v121(constB9, 1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21142])).
% 218.45/141.01 tff(21144,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB10, 1) <=> v121(constB9, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 1) <=> v121(constB9, 1)))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21143, 21139])).
% 218.45/141.01 tff(21145,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB10, 1) <=> v121(constB9, 1)))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21146,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 1) <=> v121(constB9, 1))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21145, 21144])).
% 218.45/141.01 tff(21147,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21146, 21005, 21138])).
% 218.45/141.01 tff(21148,plain,(v123(constB10, 1) <=> v121(constB9, 1)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21149,plain,
% 218.45/141.01 ((~(v123(constB10, 1) <=> v121(constB9, 1))) | v123(constB10, 1) | (~v121(constB9, 1))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21150,plain,
% 218.45/141.01 (v123(constB10, 1) | (~v121(constB9, 1))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21149, 21148])).
% 218.45/141.01 tff(21151,plain,
% 218.45/141.01 (v123(constB10, 1)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21150, 21137])).
% 218.45/141.01 tff(21152,plain,
% 218.45/141.01 ((~(v84(constB10, 1) <=> v123(constB10, 1))) | v84(constB10, 1) | (~v123(constB10, 1))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21153,plain,
% 218.45/141.01 (~(v84(constB10, 1) <=> v123(constB10, 1))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21152, 21068, 21151])).
% 218.45/141.01 tff(21154,assumption,(~(v109(constB9) | v118(constB9))), introduced(assumption)).
% 218.45/141.01 tff(21155,plain,
% 218.45/141.01 (~v109(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20860, 21154])).
% 218.45/141.01 tff(21156,plain,
% 218.45/141.01 (~(v110(constB9) | v117(constB9))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21027, 21155])).
% 218.45/141.01 tff(21157,plain,
% 218.45/141.01 ((v109(constB9) | v118(constB9)) | (~v118(constB9))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21158,plain,
% 218.45/141.01 (~v118(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21157, 21154])).
% 218.45/141.01 tff(21159,plain,
% 218.45/141.01 (v117(constB9) | v118(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21100, 1807, 21090, 21079, 20947, 21089, 21077])).
% 218.45/141.01 tff(21160,plain,
% 218.45/141.01 (v117(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21159, 21158])).
% 218.45/141.01 tff(21161,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21022, 21160, 21156])).
% 218.45/141.01 tff(21162,plain,((v109(constB9) | v118(constB9)) | v116(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))) | v115(constB9) | v114(constB9)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21163,plain,
% 218.45/141.01 (v109(constB9) | v118(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21162, 21090, 21079, 20947, 21077])).
% 218.45/141.01 tff(21164,plain,
% 218.45/141.01 ((~(v108(constB9) <=> (v109(constB9) | v118(constB9)))) | v108(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20857, 21163])).
% 218.45/141.01 tff(21165,plain,
% 218.45/141.01 (v108(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21164, 20783])).
% 218.45/141.01 tff(21166,plain,
% 218.45/141.01 (v108(constB9) | v119(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20855, 21165])).
% 218.45/141.01 tff(21167,plain,
% 218.45/141.01 (v107(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20852, 21166, 20784])).
% 218.45/141.01 tff(21168,plain,
% 218.45/141.01 (~((~v107(constB9)) | (~v120(constB9)))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20850, 21167])).
% 218.45/141.01 tff(21169,plain,
% 218.45/141.01 (v106(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20835, 21168])).
% 218.45/141.01 tff(21170,plain,
% 218.45/141.01 (v105(constB9) | v106(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20830, 21169])).
% 218.45/141.01 tff(21171,plain,
% 218.45/141.01 (v102(constB9)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20828, 21170])).
% 218.45/141.01 tff(21172,plain,
% 218.45/141.01 (v104(constB10)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20823, 21171])).
% 218.45/141.01 tff(21173,plain,
% 218.45/141.01 (~((~v95(constB10)) | (~v104(constB10)))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20820, 21172])).
% 218.45/141.01 tff(21174,plain,
% 218.45/141.01 (v94(constB10)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20786, 21173])).
% 218.45/141.01 tff(21175,plain,
% 218.45/141.01 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21047, 21174])).
% 218.45/141.01 tff(21176,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 1) <=> v123(constB10, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 1) <=> v123(constB10, 1)))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21177,plain,
% 218.45/141.01 (($false | $false | (v84(constB10, 1) <=> v123(constB10, 1))) <=> (v84(constB10, 1) <=> v123(constB10, 1))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21178,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB10, 1) <=> v123(constB10, 1))) <=> ($false | $false | (v84(constB10, 1) <=> v123(constB10, 1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.01 tff(21179,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB10, 1) <=> v123(constB10, 1))) <=> (v84(constB10, 1) <=> v123(constB10, 1))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21178, 21177])).
% 218.45/141.01 tff(21180,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB10, 1) <=> v123(constB10, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 1) <=> v123(constB10, 1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21179])).
% 218.45/141.01 tff(21181,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB10, 1) <=> v123(constB10, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 1) <=> v123(constB10, 1)))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21180, 21176])).
% 218.45/141.01 tff(21182,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB10, 1) <=> v123(constB10, 1)))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21183,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 1) <=> v123(constB10, 1))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21182, 21181])).
% 218.45/141.01 tff(21184,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21183, 21175, 21153])).
% 218.45/141.01 tff(21185,plain,(v116(constB9) | v84(constB10, 1) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))) | v115(constB9) | v117(constB9) | v114(constB9)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21186,plain,
% 218.45/141.01 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21185, 21076, 21068, 21067, 21059, 20947])).
% 218.45/141.01 tff(21187,plain,
% 218.45/141.01 ((~(v124(constB9, 0) <=> b001(0))) | v124(constB9, 0) | (~b001(0))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21188,plain,
% 218.45/141.01 (~(v124(constB9, 0) <=> b001(0))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21187, 1940, 20962])).
% 218.45/141.01 tff(21189,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))), introduced(assumption)).
% 218.45/141.01 tff(21190,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | (v124(constB9, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | (v124(constB9, 0) <=> b001(0)))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21191,plain,
% 218.45/141.01 (($false | $false | (v124(constB9, 0) <=> b001(0))) <=> (v124(constB9, 0) <=> b001(0))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21192,plain,
% 218.45/141.01 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b001(0))) <=> ($false | $false | (v124(constB9, 0) <=> b001(0)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.01 tff(21193,plain,
% 218.45/141.01 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b001(0))) <=> (v124(constB9, 0) <=> b001(0))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21192, 21191])).
% 218.45/141.01 tff(21194,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | (v124(constB9, 0) <=> b001(0)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21193])).
% 218.45/141.01 tff(21195,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | (v124(constB9, 0) <=> b001(0)))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21194, 21190])).
% 218.45/141.01 tff(21196,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b001(0)))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21197,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | (v124(constB9, 0) <=> b001(0))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21196, 21195])).
% 218.45/141.01 tff(21198,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21197, 21189, 21188])).
% 218.45/141.01 tff(21199,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | v124(constB9, 0)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21200,plain,
% 218.45/141.01 (v124(constB9, 0)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21199, 21186])).
% 218.45/141.01 tff(21201,plain,
% 218.45/141.01 (v121(constB9, 0)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20996, 21200])).
% 218.45/141.01 tff(21202,plain,
% 218.45/141.01 (v123(constB10, 0)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21017, 21201])).
% 218.45/141.01 tff(21203,plain,
% 218.45/141.01 (~(v84(constB10, 0) <=> v123(constB10, 0))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21020, 20950, 21202])).
% 218.45/141.01 tff(21204,plain,
% 218.45/141.01 ((v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)) | (~v84(constB9, 2))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21205,plain,
% 218.45/141.01 (v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21204, 20936])).
% 218.45/141.01 tff(21206,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))))))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21207,plain,
% 218.45/141.01 ((v117(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 1) | (~v84(constB9, 2))))) <=> (v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21208,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 1) | (~v84(constB9, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))))))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21207])).
% 218.45/141.01 tff(21209,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 1) | (~v84(constB9, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))))))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21208, 21206])).
% 218.45/141.01 tff(21210,plain,
% 218.45/141.01 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 1) | (~v84(constB9, 2)))))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21211,plain,
% 218.45/141.01 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21210, 21209])).
% 218.45/141.01 tff(21212,plain,
% 218.45/141.01 (v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21211, 656])).
% 218.45/141.01 tff(21213,plain,
% 218.45/141.01 ((~(v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))))) | v117(constB9) | (v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21214,plain,
% 218.45/141.01 ((~(v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))))) | (v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21213, 21059])).
% 218.45/141.01 tff(21215,plain,
% 218.45/141.01 (v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21214, 21212])).
% 218.45/141.01 tff(21216,assumption,(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)), introduced(assumption)).
% 218.45/141.01 tff(21217,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 1) <=> v84(constB9, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 1) <=> v84(constB9, 1)))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21218,plain,
% 218.45/141.01 (($false | $false | (v84(constB10, 1) <=> v84(constB9, 1))) <=> (v84(constB10, 1) <=> v84(constB9, 1))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21219,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB10, 1) <=> v84(constB9, 1))) <=> ($false | $false | (v84(constB10, 1) <=> v84(constB9, 1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.01 tff(21220,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB10, 1) <=> v84(constB9, 1))) <=> (v84(constB10, 1) <=> v84(constB9, 1))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21219, 21218])).
% 218.45/141.01 tff(21221,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB10, 1) <=> v84(constB9, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 1) <=> v84(constB9, 1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21220])).
% 218.45/141.01 tff(21222,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB10, 1) <=> v84(constB9, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 1) <=> v84(constB9, 1)))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21221, 21217])).
% 218.45/141.01 tff(21223,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB10, 1) <=> v84(constB9, 1)))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21224,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 1) <=> v84(constB9, 1))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21223, 21222])).
% 218.45/141.01 tff(21225,plain,
% 218.45/141.01 (v84(constB10, 1) <=> v84(constB9, 1)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21224, 20872])).
% 218.45/141.01 tff(21226,plain,
% 218.45/141.01 ((~(v84(constB10, 1) <=> v84(constB9, 1))) | v84(constB10, 1) | (~v84(constB9, 1))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21227,plain,
% 218.45/141.01 ((~(v84(constB10, 1) <=> v84(constB9, 1))) | (~v84(constB9, 1))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21226, 21068])).
% 218.45/141.01 tff(21228,plain,
% 218.45/141.01 (~v84(constB9, 1)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21227, 21225])).
% 218.45/141.01 tff(21229,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 0) <=> v84(constB9, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 0) <=> v84(constB9, 0)))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21230,plain,
% 218.45/141.01 (($false | $false | (v84(constB10, 0) <=> v84(constB9, 0))) <=> (v84(constB10, 0) <=> v84(constB9, 0))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21231,plain,
% 218.45/141.01 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB10, 0) <=> v84(constB9, 0))) <=> ($false | $false | (v84(constB10, 0) <=> v84(constB9, 0)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.01 tff(21232,plain,
% 218.45/141.01 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB10, 0) <=> v84(constB9, 0))) <=> (v84(constB10, 0) <=> v84(constB9, 0))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21231, 21230])).
% 218.45/141.01 tff(21233,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB10, 0) <=> v84(constB9, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 0) <=> v84(constB9, 0)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21232])).
% 218.45/141.01 tff(21234,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB10, 0) <=> v84(constB9, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 0) <=> v84(constB9, 0)))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21233, 21229])).
% 218.45/141.01 tff(21235,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB10, 0) <=> v84(constB9, 0)))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21236,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (v84(constB10, 0) <=> v84(constB9, 0))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21235, 21234])).
% 218.45/141.01 tff(21237,plain,
% 218.45/141.01 (v84(constB10, 0) <=> v84(constB9, 0)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21236, 20872])).
% 218.45/141.01 tff(21238,plain,
% 218.45/141.01 ((~(v84(constB10, 0) <=> v84(constB9, 0))) | v84(constB10, 0) | (~v84(constB9, 0))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21239,plain,
% 218.45/141.01 ((~(v84(constB10, 0) <=> v84(constB9, 0))) | (~v84(constB9, 0))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21238, 20950])).
% 218.45/141.01 tff(21240,plain,
% 218.45/141.01 (~v84(constB9, 0)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21239, 21237])).
% 218.45/141.01 tff(21241,assumption,(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))), introduced(assumption)).
% 218.45/141.01 tff(21242,plain,
% 218.45/141.01 ((~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))) | v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21243,plain,
% 218.45/141.01 (~v84(constB9, 2)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21242, 21240, 21228, 21241])).
% 218.45/141.01 tff(21244,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20771, 21243, 21240, 21228, 21216])).
% 218.45/141.01 tff(21245,plain,(v84(constB10, 1) | (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2))) | (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | v84(constB11, 0)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21246,plain,
% 218.45/141.01 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21245, 21215, 21068, 20322, 21205])).
% 218.45/141.01 tff(21247,plain,
% 218.45/141.01 (v94(constB10)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[20695, 21246])).
% 218.45/141.01 tff(21248,plain,
% 218.45/141.01 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21047, 21247])).
% 218.45/141.01 tff(21249,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21056, 21248, 21203])).
% 218.45/141.01 tff(21250,plain,((~v84(constB9, 2)) | v84(constB10, 1) | v84(constB11, 0) | v115(constB9)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21251,plain,
% 218.45/141.01 (v84(constB10, 1)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21250, 20946, 20936, 20944])).
% 218.45/141.01 tff(21252,assumption,(~(v84(constB11, 1) <=> v84(constB10, 1))), introduced(assumption)).
% 218.45/141.01 tff(21253,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 1) <=> v84(constB10, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 1) <=> v84(constB10, 1)))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21254,plain,
% 218.45/141.01 (($false | $false | (v84(constB11, 1) <=> v84(constB10, 1))) <=> (v84(constB11, 1) <=> v84(constB10, 1))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21255,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB11, 1) <=> v84(constB10, 1))) <=> ($false | $false | (v84(constB11, 1) <=> v84(constB10, 1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.01 tff(21256,plain,
% 218.45/141.01 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB11, 1) <=> v84(constB10, 1))) <=> (v84(constB11, 1) <=> v84(constB10, 1))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21255, 21254])).
% 218.45/141.01 tff(21257,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB11, 1) <=> v84(constB10, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 1) <=> v84(constB10, 1)))),
% 218.45/141.01 inference(monotonicity,[status(thm)],[21256])).
% 218.45/141.01 tff(21258,plain,
% 218.45/141.01 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB11, 1) <=> v84(constB10, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 1) <=> v84(constB10, 1)))),
% 218.45/141.01 inference(transitivity,[status(thm)],[21257, 21253])).
% 218.45/141.01 tff(21259,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB11, 1) <=> v84(constB10, 1)))),
% 218.45/141.01 inference(quant_inst,[status(thm)],[])).
% 218.45/141.01 tff(21260,plain,
% 218.45/141.01 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB11, B) <=> v84(constB10, B)))) | (v84(constB11, 1) <=> v84(constB10, 1))),
% 218.45/141.01 inference(modus_ponens,[status(thm)],[21259, 21258])).
% 218.45/141.01 tff(21261,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21260, 20906, 21252])).
% 218.45/141.01 tff(21262,plain,(v84(constB11, 1) <=> v84(constB10, 1)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21263,plain,
% 218.45/141.01 ((~(v84(constB11, 1) <=> v84(constB10, 1))) | v84(constB11, 1) | (~v84(constB10, 1))),
% 218.45/141.01 inference(tautology,[status(thm)],[])).
% 218.45/141.01 tff(21264,plain,
% 218.45/141.01 (v84(constB11, 1) | (~v84(constB10, 1))),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21263, 21262])).
% 218.45/141.01 tff(21265,plain,
% 218.45/141.01 ($false),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21264, 21251, 20935])).
% 218.45/141.01 tff(21266,plain,(((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)) | (~v84(constB9, 2))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.01 tff(21267,plain,
% 218.45/141.01 ((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)),
% 218.45/141.01 inference(unit_resolution,[status(thm)],[21266, 20875])).
% 218.45/141.01 tff(21268,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2))))))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21269,plain,
% 218.45/141.01 ((v119(constB9) <=> (~(v84(constB9, 0) | (~v84(constB9, 1)) | (~v84(constB9, 2))))) <=> (v119(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))))),
% 218.45/141.01 inference(rewrite,[status(thm)],[])).
% 218.45/141.01 tff(21270,plain,
% 218.45/141.01 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB9) <=> (~(v84(constB9, 0) | (~v84(constB9, 1)) | (~v84(constB9, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2))))))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[21269])).
% 218.45/141.02 tff(21271,plain,
% 218.45/141.02 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB9) <=> (~(v84(constB9, 0) | (~v84(constB9, 1)) | (~v84(constB9, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2))))))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21270, 21268])).
% 218.45/141.02 tff(21272,plain,
% 218.45/141.02 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB9) <=> (~(v84(constB9, 0) | (~v84(constB9, 1)) | (~v84(constB9, 2)))))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21273,plain,
% 218.45/141.02 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21272, 21271])).
% 218.45/141.02 tff(21274,plain,
% 218.45/141.02 (v119(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2))))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21273, 318])).
% 218.45/141.02 tff(21275,plain,
% 218.45/141.02 (~(v105(constB9) | v106(constB9))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20828, 20669])).
% 218.45/141.02 tff(21276,plain,
% 218.45/141.02 (~v106(constB9)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20830, 21275])).
% 218.45/141.02 tff(21277,plain,
% 218.45/141.02 ((~v107(constB9)) | (~v120(constB9))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20835, 21276])).
% 218.45/141.02 tff(21278,plain,
% 218.45/141.02 (~v107(constB9)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20850, 21277])).
% 218.45/141.02 tff(21279,plain,
% 218.45/141.02 ((~(v107(constB9) <=> (v108(constB9) | v119(constB9)))) | (~(v108(constB9) | v119(constB9)))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20852, 21278])).
% 218.45/141.02 tff(21280,plain,
% 218.45/141.02 (~(v108(constB9) | v119(constB9))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21279, 20784])).
% 218.45/141.02 tff(21281,plain,
% 218.45/141.02 ((v108(constB9) | v119(constB9)) | (~v119(constB9))),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21282,plain,
% 218.45/141.02 (~v119(constB9)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21281, 21280])).
% 218.45/141.02 tff(21283,plain,
% 218.45/141.02 ((~(v119(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))))) | v119(constB9) | ((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21284,plain,
% 218.45/141.02 ((~(v119(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))))) | ((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21283, 21282])).
% 218.45/141.02 tff(21285,plain,
% 218.45/141.02 ((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21284, 21274])).
% 218.45/141.02 tff(21286,assumption,((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2))), introduced(assumption)).
% 218.45/141.02 tff(21287,plain,
% 218.45/141.02 (v84(constB10, 2) <=> v84(constB9, 2)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20708, 20872])).
% 218.45/141.02 tff(21288,plain,
% 218.45/141.02 (v84(constB11, 2) <=> v84(constB10, 2)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20924, 20906])).
% 218.45/141.02 tff(21289,assumption,(~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))), introduced(assumption)).
% 218.45/141.02 tff(21290,plain,
% 218.45/141.02 (((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))) | v84(constB11, 2)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21291,plain,
% 218.45/141.02 (v84(constB11, 2)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21290, 21289])).
% 218.45/141.02 tff(21292,plain,
% 218.45/141.02 ((~(v84(constB11, 2) <=> v84(constB10, 2))) | (~v84(constB11, 2)) | v84(constB10, 2)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21293,plain,
% 218.45/141.02 ((~(v84(constB11, 2) <=> v84(constB10, 2))) | v84(constB10, 2)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21292, 21291])).
% 218.45/141.02 tff(21294,plain,
% 218.45/141.02 (v84(constB10, 2)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21293, 21288])).
% 218.45/141.02 tff(21295,plain,
% 218.45/141.02 ((~(v84(constB10, 2) <=> v84(constB9, 2))) | v84(constB9, 2)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20870, 21294])).
% 218.45/141.02 tff(21296,plain,
% 218.45/141.02 (v84(constB9, 2)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21295, 21287])).
% 218.45/141.02 tff(21297,plain,
% 218.45/141.02 (((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))) | (~v84(constB11, 0))),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21298,plain,
% 218.45/141.02 (~v84(constB11, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21297, 21289])).
% 218.45/141.02 tff(21299,plain,
% 218.45/141.02 ((~(v84(constB11, 0) <=> v84(constB10, 0))) | (~v84(constB10, 0))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20948, 21298])).
% 218.45/141.02 tff(21300,plain,
% 218.45/141.02 (~v84(constB10, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21299, 20915])).
% 218.45/141.02 tff(21301,plain,
% 218.45/141.02 ((~(v84(constB10, 0) <=> v84(constB9, 0))) | (~v84(constB9, 0))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21238, 21300])).
% 218.45/141.02 tff(21302,plain,
% 218.45/141.02 (~v84(constB9, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21301, 21237])).
% 218.45/141.02 tff(21303,plain,
% 218.45/141.02 (v84(constB11, 1) <=> v84(constB10, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21260, 20906])).
% 218.45/141.02 tff(21304,plain,
% 218.45/141.02 (((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))) | v84(constB11, 1)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21305,plain,
% 218.45/141.02 (v84(constB11, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21304, 21289])).
% 218.45/141.02 tff(21306,plain,
% 218.45/141.02 ((~(v84(constB11, 1) <=> v84(constB10, 1))) | (~v84(constB11, 1)) | v84(constB10, 1)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21307,plain,
% 218.45/141.02 ((~(v84(constB11, 1) <=> v84(constB10, 1))) | v84(constB10, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21306, 21305])).
% 218.45/141.02 tff(21308,plain,
% 218.45/141.02 (v84(constB10, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21307, 21303])).
% 218.45/141.02 tff(21309,plain,
% 218.45/141.02 ((~(v84(constB10, 1) <=> v84(constB9, 1))) | (~v84(constB10, 1)) | v84(constB9, 1)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21310,plain,
% 218.45/141.02 ((~(v84(constB10, 1) <=> v84(constB9, 1))) | v84(constB9, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21309, 21308])).
% 218.45/141.02 tff(21311,plain,
% 218.45/141.02 (v84(constB9, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21310, 21225])).
% 218.45/141.02 tff(21312,plain,
% 218.45/141.02 ((~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))) | (~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2))),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21313,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21312, 21311, 21302, 21296, 21286])).
% 218.45/141.02 tff(21314,plain,(((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))) | (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B))))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21315,plain,
% 218.45/141.02 ((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21314, 21285, 20696])).
% 218.45/141.02 tff(21316,plain,
% 218.45/141.02 (v84(constB11, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20337, 21315, 21267, 20933, 20931])).
% 218.45/141.02 tff(21317,plain,
% 218.45/141.02 ((~(v84(constB11, 0) <=> v84(constB10, 0))) | (~v84(constB11, 0)) | v84(constB10, 0)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21318,plain,
% 218.45/141.02 ((~(v84(constB11, 0) <=> v84(constB10, 0))) | v84(constB10, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21317, 21316])).
% 218.45/141.02 tff(21319,plain,
% 218.45/141.02 (v84(constB10, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21318, 20915])).
% 218.45/141.02 tff(21320,assumption,(v84(constB10, 0)), introduced(assumption)).
% 218.45/141.02 tff(21321,assumption,(~v84(constB9, 0)), introduced(assumption)).
% 218.45/141.02 tff(21322,plain,
% 218.45/141.02 ((~(v84(constB10, 0) <=> v84(constB9, 0))) | (~v84(constB10, 0)) | v84(constB9, 0)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21323,plain,
% 218.45/141.02 (~(v84(constB10, 0) <=> v84(constB9, 0))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21322, 21321, 21320])).
% 218.45/141.02 tff(21324,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21236, 20872, 21323])).
% 218.45/141.02 tff(21325,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | v84(constB9, 0) | (~v84(constB10, 0))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21326,plain,
% 218.45/141.02 (v84(constB9, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21325, 21319, 20696])).
% 218.45/141.02 tff(21327,plain,
% 218.45/141.02 ((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21266, 20936])).
% 218.45/141.02 tff(21328,plain,
% 218.45/141.02 (~v117(constB11)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20413, 21327])).
% 218.45/141.02 tff(21329,plain,
% 218.45/141.02 (v121(constB9, 0) <=> v124(constB9, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20992, 20984])).
% 218.45/141.02 tff(21330,plain,
% 218.45/141.02 (v123(constB10, 0) <=> v121(constB9, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21013, 21005])).
% 218.45/141.02 tff(21331,assumption,(~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))), introduced(assumption)).
% 218.45/141.02 tff(21332,plain,
% 218.45/141.02 ((v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))) | (~v84(constB11, 2))),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21333,plain,
% 218.45/141.02 (~v84(constB11, 2)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21332, 21331])).
% 218.45/141.02 tff(21334,plain,
% 218.45/141.02 (~v84(constB10, 2)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20928, 21333])).
% 218.45/141.02 tff(21335,plain,
% 218.45/141.02 (v94(constB10)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20867, 21334])).
% 218.45/141.02 tff(21336,plain,
% 218.45/141.02 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21047, 21335])).
% 218.45/141.02 tff(21337,plain,
% 218.45/141.02 (v84(constB10, 0) <=> v123(constB10, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21056, 21336])).
% 218.45/141.02 tff(21338,plain,
% 218.45/141.02 ((v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))) | v84(constB11, 0)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21339,plain,
% 218.45/141.02 (v84(constB11, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21338, 21331])).
% 218.45/141.02 tff(21340,plain,
% 218.45/141.02 ((~(v84(constB11, 0) <=> v84(constB10, 0))) | v84(constB10, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21317, 21339])).
% 218.45/141.02 tff(21341,plain,
% 218.45/141.02 (v84(constB10, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21340, 20915])).
% 218.45/141.02 tff(21342,plain,
% 218.45/141.02 ((~(v84(constB10, 0) <=> v123(constB10, 0))) | (~v84(constB10, 0)) | v123(constB10, 0)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21343,plain,
% 218.45/141.02 ((~(v84(constB10, 0) <=> v123(constB10, 0))) | v123(constB10, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21342, 21341])).
% 218.45/141.02 tff(21344,plain,
% 218.45/141.02 (v123(constB10, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21343, 21337])).
% 218.45/141.02 tff(21345,plain,
% 218.45/141.02 ((~(v123(constB10, 0) <=> v121(constB9, 0))) | (~v123(constB10, 0)) | v121(constB9, 0)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21346,plain,
% 218.45/141.02 ((~(v123(constB10, 0) <=> v121(constB9, 0))) | v121(constB9, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21345, 21344])).
% 218.45/141.02 tff(21347,plain,
% 218.45/141.02 (v121(constB9, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21346, 21330])).
% 218.45/141.02 tff(21348,plain,
% 218.45/141.02 ((~(v121(constB9, 0) <=> v124(constB9, 0))) | (~v121(constB9, 0)) | v124(constB9, 0)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21349,plain,
% 218.45/141.02 ((~(v121(constB9, 0) <=> v124(constB9, 0))) | v124(constB9, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21348, 21347])).
% 218.45/141.02 tff(21350,plain,
% 218.45/141.02 (v124(constB9, 0)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21349, 21329])).
% 218.45/141.02 tff(21351,plain,
% 218.45/141.02 ((~(v124(constB9, 0) <=> b110(0))) | (~v124(constB9, 0)) | b110(0)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21352,plain,
% 218.45/141.02 (~(v124(constB9, 0) <=> b110(0))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21351, 3186, 21350])).
% 218.45/141.02 tff(21353,plain,
% 218.45/141.02 ((v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))) | v84(constB11, 1)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21354,plain,
% 218.45/141.02 (v84(constB11, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21353, 21331])).
% 218.45/141.02 tff(21355,plain,
% 218.45/141.02 ((~v84(constB11, 1)) | v84(constB10, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21306, 21262])).
% 218.45/141.02 tff(21356,plain,
% 218.45/141.02 (v84(constB10, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21355, 21354])).
% 218.45/141.02 tff(21357,assumption,(~v123(constB10, 1)), introduced(assumption)).
% 218.45/141.02 tff(21358,assumption,(v84(constB10, 1)), introduced(assumption)).
% 218.45/141.02 tff(21359,plain,
% 218.45/141.02 ((~(v84(constB10, 1) <=> v123(constB10, 1))) | (~v84(constB10, 1)) | v123(constB10, 1)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21360,plain,
% 218.45/141.02 (~(v84(constB10, 1) <=> v123(constB10, 1))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21359, 21358, 21357])).
% 218.45/141.02 tff(21361,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))), introduced(assumption)).
% 218.45/141.02 tff(21362,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21183, 21361, 21360])).
% 218.45/141.02 tff(21363,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (~v84(constB10, 1)) | v123(constB10, 1)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21364,plain,
% 218.45/141.02 (v123(constB10, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21363, 21336, 21356])).
% 218.45/141.02 tff(21365,plain,
% 218.45/141.02 ((~(v123(constB10, 1) <=> v121(constB9, 1))) | (~v123(constB10, 1)) | v121(constB9, 1)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21366,plain,
% 218.45/141.02 ((~v123(constB10, 1)) | v121(constB9, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21365, 21148])).
% 218.45/141.02 tff(21367,plain,
% 218.45/141.02 (v121(constB9, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21366, 21364])).
% 218.45/141.02 tff(21368,plain,
% 218.45/141.02 ((~(v121(constB9, 1) <=> v124(constB9, 1))) | (~v121(constB9, 1)) | v124(constB9, 1)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21369,plain,
% 218.45/141.02 ((~v121(constB9, 1)) | v124(constB9, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21368, 21134])).
% 218.45/141.02 tff(21370,plain,
% 218.45/141.02 (v124(constB9, 1)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21369, 21367])).
% 218.45/141.02 tff(21371,assumption,(v124(constB9, 1)), introduced(assumption)).
% 218.45/141.02 tff(21372,plain,
% 218.45/141.02 ((~(v124(constB9, 1) <=> b100(1))) | (~v124(constB9, 1)) | b100(1)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21373,plain,
% 218.45/141.02 (~(v124(constB9, 1) <=> b100(1))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21372, 2274, 21371])).
% 218.45/141.02 tff(21374,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))), introduced(assumption)).
% 218.45/141.02 tff(21375,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | (v124(constB9, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | (v124(constB9, 1) <=> b100(1)))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21376,plain,
% 218.45/141.02 (($false | $false | (v124(constB9, 1) <=> b100(1))) <=> (v124(constB9, 1) <=> b100(1))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21377,plain,
% 218.45/141.02 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b100(1))) <=> ($false | $false | (v124(constB9, 1) <=> b100(1)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.02 tff(21378,plain,
% 218.45/141.02 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b100(1))) <=> (v124(constB9, 1) <=> b100(1))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21377, 21376])).
% 218.45/141.02 tff(21379,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | (v124(constB9, 1) <=> b100(1)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[21378])).
% 218.45/141.02 tff(21380,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | (v124(constB9, 1) <=> b100(1)))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21379, 21375])).
% 218.45/141.02 tff(21381,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b100(1)))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21382,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | (v124(constB9, 1) <=> b100(1))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21381, 21380])).
% 218.45/141.02 tff(21383,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21382, 21374, 21373])).
% 218.45/141.02 tff(21384,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | (~v124(constB9, 1))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21385,plain,
% 218.45/141.02 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21384, 21370])).
% 218.45/141.02 tff(21386,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))), introduced(assumption)).
% 218.45/141.02 tff(21387,assumption,(v116(constB9)), introduced(assumption)).
% 218.45/141.02 tff(21388,plain,
% 218.45/141.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B))))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21389,plain,
% 218.45/141.02 (((~v116(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B))))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21390,plain,
% 218.45/141.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[21389])).
% 218.45/141.02 tff(21391,plain,
% 218.45/141.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B))))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21390, 21388])).
% 218.45/141.02 tff(21392,plain,
% 218.45/141.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21393,plain,
% 218.45/141.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21392, 21391])).
% 218.45/141.02 tff(21394,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21393, 2230, 21387, 21386])).
% 218.45/141.02 tff(21395,plain,((~v116(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21396,plain,
% 218.45/141.02 (~v116(constB9)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21395, 21385])).
% 218.45/141.02 tff(21397,assumption,(v124(constB9, 0)), introduced(assumption)).
% 218.45/141.02 tff(21398,plain,
% 218.45/141.02 ((~(v124(constB9, 0) <=> b010(0))) | (~v124(constB9, 0)) | b010(0)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21399,plain,
% 218.45/141.02 (~(v124(constB9, 0) <=> b010(0))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21398, 2437, 21397])).
% 218.45/141.02 tff(21400,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))), introduced(assumption)).
% 218.45/141.02 tff(21401,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 0) <=> b010(0)))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21402,plain,
% 218.45/141.02 (($false | $false | (v124(constB9, 0) <=> b010(0))) <=> (v124(constB9, 0) <=> b010(0))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21403,plain,
% 218.45/141.02 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b010(0))) <=> ($false | $false | (v124(constB9, 0) <=> b010(0)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.02 tff(21404,plain,
% 218.45/141.02 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b010(0))) <=> (v124(constB9, 0) <=> b010(0))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21403, 21402])).
% 218.45/141.02 tff(21405,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 0) <=> b010(0)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[21404])).
% 218.45/141.02 tff(21406,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 0) <=> b010(0)))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21405, 21401])).
% 218.45/141.02 tff(21407,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b010(0)))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21408,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 0) <=> b010(0))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21407, 21406])).
% 218.45/141.02 tff(21409,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21408, 21400, 21399])).
% 218.45/141.02 tff(21410,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (~v124(constB9, 0))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21411,plain,
% 218.45/141.02 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21410, 21350])).
% 218.45/141.02 tff(21412,assumption,(v114(constB9)), introduced(assumption)).
% 218.45/141.02 tff(21413,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))), introduced(assumption)).
% 218.45/141.02 tff(21414,plain,
% 218.45/141.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B))))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21415,plain,
% 218.45/141.02 (((~v114(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B))))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21416,plain,
% 218.45/141.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[21415])).
% 218.45/141.02 tff(21417,plain,
% 218.45/141.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B))))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21416, 21414])).
% 218.45/141.02 tff(21418,plain,
% 218.45/141.02 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21419,plain,
% 218.45/141.02 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21418, 21417])).
% 218.45/141.02 tff(21420,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21419, 2418, 21413, 21412])).
% 218.45/141.02 tff(21421,plain,((~v114(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21422,plain,
% 218.45/141.02 (~v114(constB9)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21421, 21411])).
% 218.45/141.02 tff(21423,plain,
% 218.45/141.02 ((~(v124(constB9, 1) <=> b101(1))) | (~v124(constB9, 1)) | b101(1)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21424,plain,
% 218.45/141.02 (~(v124(constB9, 1) <=> b101(1))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21423, 2330, 21371])).
% 218.45/141.02 tff(21425,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | (v124(constB9, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | (v124(constB9, 1) <=> b101(1)))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21426,plain,
% 218.45/141.02 (($false | $false | (v124(constB9, 1) <=> b101(1))) <=> (v124(constB9, 1) <=> b101(1))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21427,plain,
% 218.45/141.02 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b101(1))) <=> ($false | $false | (v124(constB9, 1) <=> b101(1)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.02 tff(21428,plain,
% 218.45/141.02 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b101(1))) <=> (v124(constB9, 1) <=> b101(1))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21427, 21426])).
% 218.45/141.02 tff(21429,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | (v124(constB9, 1) <=> b101(1)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[21428])).
% 218.45/141.02 tff(21430,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | (v124(constB9, 1) <=> b101(1)))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21429, 21425])).
% 218.45/141.02 tff(21431,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b101(1)))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21432,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | (v124(constB9, 1) <=> b101(1))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21431, 21430])).
% 218.45/141.02 tff(21433,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21432, 20965, 21424])).
% 218.45/141.02 tff(21434,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))) | (~v124(constB9, 1))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21435,plain,
% 218.45/141.02 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b101(B)))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21434, 21370])).
% 218.45/141.02 tff(21436,plain,
% 218.45/141.02 (~v117(constB9)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20960, 21435])).
% 218.45/141.02 tff(21437,plain,
% 218.45/141.02 ((~(v124(constB9, 1) <=> b001(1))) | (~v124(constB9, 1)) | b001(1)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21438,plain,
% 218.45/141.02 (~(v124(constB9, 1) <=> b001(1))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21437, 1885, 21371])).
% 218.45/141.02 tff(21439,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | (v124(constB9, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | (v124(constB9, 1) <=> b001(1)))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21440,plain,
% 218.45/141.02 (($false | $false | (v124(constB9, 1) <=> b001(1))) <=> (v124(constB9, 1) <=> b001(1))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21441,plain,
% 218.45/141.02 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b001(1))) <=> ($false | $false | (v124(constB9, 1) <=> b001(1)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.02 tff(21442,plain,
% 218.45/141.02 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b001(1))) <=> (v124(constB9, 1) <=> b001(1))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21441, 21440])).
% 218.45/141.02 tff(21443,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | (v124(constB9, 1) <=> b001(1)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[21442])).
% 218.45/141.02 tff(21444,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | (v124(constB9, 1) <=> b001(1)))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21443, 21439])).
% 218.45/141.02 tff(21445,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b001(1)))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21446,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | (v124(constB9, 1) <=> b001(1))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21445, 21444])).
% 218.45/141.02 tff(21447,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21446, 21189, 21438])).
% 218.45/141.02 tff(21448,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))) | (~v124(constB9, 1))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21449,plain,
% 218.45/141.02 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21448, 21370])).
% 218.45/141.02 tff(21450,plain,
% 218.45/141.02 (~v113(constB9)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21088, 21449])).
% 218.45/141.02 tff(21451,plain,
% 218.45/141.02 (v116(constB9) | v118(constB9)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21100, 1807, 21449, 20947, 21450, 21436, 21422])).
% 218.45/141.02 tff(21452,plain,
% 218.45/141.02 (v118(constB9)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21451, 21396])).
% 218.45/141.02 tff(21453,plain,
% 218.45/141.02 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21107, 1977, 21452])).
% 218.45/141.02 tff(21454,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 0) <=> b110(0)))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21455,plain,
% 218.45/141.02 (($false | $false | (v124(constB9, 0) <=> b110(0))) <=> (v124(constB9, 0) <=> b110(0))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21456,plain,
% 218.45/141.02 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b110(0))) <=> ($false | $false | (v124(constB9, 0) <=> b110(0)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.02 tff(21457,plain,
% 218.45/141.02 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b110(0))) <=> (v124(constB9, 0) <=> b110(0))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21456, 21455])).
% 218.45/141.02 tff(21458,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 0) <=> b110(0)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[21457])).
% 218.45/141.02 tff(21459,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 0) <=> b110(0)))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21458, 21454])).
% 218.45/141.02 tff(21460,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB9, 0) <=> b110(0)))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21461,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 0) <=> b110(0))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21460, 21459])).
% 218.45/141.02 tff(21462,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21461, 21453, 21352])).
% 218.45/141.02 tff(21463,plain,((v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))) | v115(constB9)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21464,plain,
% 218.45/141.02 (v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21463, 20944])).
% 218.45/141.02 tff(21465,assumption,(~(v116(constB11) <=> (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))))), introduced(assumption)).
% 218.45/141.02 tff(21466,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[20458, 521, 21465])).
% 218.45/141.02 tff(21467,plain,(v116(constB11) <=> (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21468,plain,
% 218.45/141.02 ((~(v116(constB11) <=> (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))))) | (~v116(constB11)) | (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))))),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21469,plain,
% 218.45/141.02 ((~v116(constB11)) | (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21468, 21467])).
% 218.45/141.02 tff(21470,plain,
% 218.45/141.02 (~v116(constB11)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21469, 21464])).
% 218.45/141.02 tff(21471,plain,
% 218.45/141.02 ((v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))) | (~v84(constB9, 0))),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21472,plain,
% 218.45/141.02 (v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21471, 20757])).
% 218.45/141.02 tff(21473,plain,
% 218.45/141.02 (((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2))) | (~v84(constB9, 0))),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21474,plain,
% 218.45/141.02 ((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21473, 20757])).
% 218.45/141.02 tff(21475,assumption,(~v84(constB19, 2)), introduced(assumption)).
% 218.45/141.02 tff(21476,plain,
% 218.45/141.02 ((v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))) | v84(constB19, 2)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21477,plain,
% 218.45/141.02 (v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21476, 21475])).
% 218.45/141.02 tff(21478,plain,
% 218.45/141.02 ((v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))) | v84(constB19, 2)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21479,plain,
% 218.45/141.02 (v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21478, 21475])).
% 218.45/141.02 tff(21480,assumption,(~(v84(constB19, 2) <=> v84(constB18, 2))), introduced(assumption)).
% 218.45/141.02 tff(21481,plain,
% 218.45/141.02 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21482,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18')).
% 218.45/141.02 tff(21483,plain,
% 218.45/141.02 (nextState(constB18, constB19)),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21482, 21481])).
% 218.45/141.02 tff(21484,plain,
% 218.45/141.02 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19))))))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21485,plain,
% 218.45/141.02 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19))))))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21486,plain,
% 218.45/141.02 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19)))))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21485, 21484])).
% 218.45/141.02 tff(21487,plain,
% 218.45/141.02 (v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19))))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21486, 21483, 14])).
% 218.45/141.02 tff(21488,plain,
% 218.45/141.02 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21489,plain,
% 218.45/141.02 (((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19)))))) <=> ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21490,plain,
% 218.45/141.02 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[21489])).
% 218.45/141.02 tff(21491,plain,
% 218.45/141.02 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21490, 21488])).
% 218.45/141.02 tff(21492,plain,
% 218.45/141.02 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19))))))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21493,plain,
% 218.45/141.02 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21492, 21491])).
% 218.45/141.02 tff(21494,plain,
% 218.45/141.02 (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21493, 21483, 37])).
% 218.45/141.02 tff(21495,plain,
% 218.45/141.02 ((~v1(constB19)) <=> (~v1(constB19))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21496,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19')).
% 218.45/141.02 tff(21497,plain,
% 218.45/141.02 (~v1(constB19)),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21496, 21495])).
% 218.45/141.02 tff(21498,plain,
% 218.45/141.02 (((~v1(constB19)) | (~v96(constB19))) | v1(constB19)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21499,plain,
% 218.45/141.02 ((~v1(constB19)) | (~v96(constB19))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21498, 21497])).
% 218.45/141.02 tff(21500,plain,
% 218.45/141.02 ((~(v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))) | (~v95(constB19)) | (~((~v1(constB19)) | (~v96(constB19))))),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21501,plain,
% 218.45/141.02 ((~(v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))) | (~v95(constB19))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21500, 21499])).
% 218.45/141.02 tff(21502,plain,
% 218.45/141.02 (~v95(constB19)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21501, 21494])).
% 218.45/141.02 tff(21503,plain,
% 218.45/141.02 (((~v95(constB19)) | (~v104(constB19))) | v95(constB19)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21504,plain,
% 218.45/141.02 ((~v95(constB19)) | (~v104(constB19))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21503, 21502])).
% 218.45/141.02 tff(21505,plain,
% 218.45/141.02 ((~(v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19)))))) | (~v94(constB19)) | (~((~v95(constB19)) | (~v104(constB19))))),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21506,plain,
% 218.45/141.02 (~v94(constB19)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21505, 21504, 21487])).
% 218.45/141.02 tff(21507,plain,
% 218.45/141.02 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB19) | (~nextState(constB18, constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB19) | (~nextState(constB18, constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B))))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21508,plain,
% 218.45/141.02 ((v94(constB19) | (~nextState(constB18, constB19)) | ![B: $int] : ((v84(constB19, B) <=> v84(constB18, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB19) | (~nextState(constB18, constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B))))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21509,plain,
% 218.45/141.02 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB19) | (~nextState(constB18, constB19)) | ![B: $int] : ((v84(constB19, B) <=> v84(constB18, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB19) | (~nextState(constB18, constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[21508])).
% 218.45/141.02 tff(21510,plain,
% 218.45/141.02 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB19) | (~nextState(constB18, constB19)) | ![B: $int] : ((v84(constB19, B) <=> v84(constB18, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB19) | (~nextState(constB18, constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B))))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21509, 21507])).
% 218.45/141.02 tff(21511,plain,
% 218.45/141.02 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB19) | (~nextState(constB18, constB19)) | ![B: $int] : ((v84(constB19, B) <=> v84(constB18, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21512,plain,
% 218.45/141.02 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB19) | (~nextState(constB18, constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21511, 21510])).
% 218.45/141.02 tff(21513,plain,
% 218.45/141.02 (v94(constB19) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21512, 21483, 235])).
% 218.45/141.02 tff(21514,plain,
% 218.45/141.02 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21513, 21506])).
% 218.45/141.02 tff(21515,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 2) <=> v84(constB18, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 2) <=> v84(constB18, 2)))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21516,plain,
% 218.45/141.02 (($false | $false | (v84(constB19, 2) <=> v84(constB18, 2))) <=> (v84(constB19, 2) <=> v84(constB18, 2))),
% 218.45/141.02 inference(rewrite,[status(thm)],[])).
% 218.45/141.02 tff(21517,plain,
% 218.45/141.02 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB19, 2) <=> v84(constB18, 2))) <=> ($false | $false | (v84(constB19, 2) <=> v84(constB18, 2)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[534, 533])).
% 218.45/141.02 tff(21518,plain,
% 218.45/141.02 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB19, 2) <=> v84(constB18, 2))) <=> (v84(constB19, 2) <=> v84(constB18, 2))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21517, 21516])).
% 218.45/141.02 tff(21519,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB19, 2) <=> v84(constB18, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 2) <=> v84(constB18, 2)))),
% 218.45/141.02 inference(monotonicity,[status(thm)],[21518])).
% 218.45/141.02 tff(21520,plain,
% 218.45/141.02 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB19, 2) <=> v84(constB18, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 2) <=> v84(constB18, 2)))),
% 218.45/141.02 inference(transitivity,[status(thm)],[21519, 21515])).
% 218.45/141.02 tff(21521,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB19, 2) <=> v84(constB18, 2)))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21522,plain,
% 218.45/141.02 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 2) <=> v84(constB18, 2))),
% 218.45/141.02 inference(modus_ponens,[status(thm)],[21521, 21520])).
% 218.45/141.02 tff(21523,plain,
% 218.45/141.02 ($false),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21522, 21514, 21480])).
% 218.45/141.02 tff(21524,plain,(v84(constB19, 2) <=> v84(constB18, 2)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.02 tff(21525,plain,
% 218.45/141.02 ((~(v84(constB19, 2) <=> v84(constB18, 2))) | v84(constB19, 2) | (~v84(constB18, 2))),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21526,plain,
% 218.45/141.02 (v84(constB19, 2) | (~v84(constB18, 2))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21525, 21524])).
% 218.45/141.02 tff(21527,plain,
% 218.45/141.02 (~v84(constB18, 2)),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21526, 21475])).
% 218.45/141.02 tff(21528,plain,
% 218.45/141.02 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))))),
% 218.45/141.02 inference(quant_inst,[status(thm)],[])).
% 218.45/141.02 tff(21529,plain,
% 218.45/141.02 (v113(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2)))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21528, 597])).
% 218.45/141.02 tff(21530,assumption,(~v84(constB18, 2)), introduced(assumption)).
% 218.45/141.02 tff(21531,plain,
% 218.45/141.02 ((v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))) | v84(constB18, 2)),
% 218.45/141.02 inference(tautology,[status(thm)],[])).
% 218.45/141.02 tff(21532,plain,
% 218.45/141.02 (v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))),
% 218.45/141.02 inference(unit_resolution,[status(thm)],[21531, 21530])).
% 218.45/141.02 tff(21533,plain,
% 218.45/141.02 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21534,plain,
% 218.45/141.03 ((v115(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 2) | (~v84(constB18, 1))))) <=> (v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21535,plain,
% 218.45/141.03 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 2) | (~v84(constB18, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)))))),
% 218.45/141.03 inference(monotonicity,[status(thm)],[21534])).
% 218.45/141.03 tff(21536,plain,
% 218.45/141.03 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 2) | (~v84(constB18, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)))))),
% 218.45/141.03 inference(transitivity,[status(thm)],[21535, 21533])).
% 218.45/141.03 tff(21537,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 2) | (~v84(constB18, 1)))))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21538,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2))))),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21537, 21536])).
% 218.45/141.03 tff(21539,plain,
% 218.45/141.03 (v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21538, 622])).
% 218.45/141.03 tff(21540,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB18) <=> (v112(constB18) | v115(constB18)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21541,plain,
% 218.45/141.03 (v111(constB18) <=> (v112(constB18) | v115(constB18))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21540, 274])).
% 218.45/141.03 tff(21542,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB18) <=> (v111(constB18) | v116(constB18)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21543,plain,
% 218.45/141.03 (v110(constB18) <=> (v111(constB18) | v116(constB18))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21542, 265])).
% 218.45/141.03 tff(21544,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB18) <=> (v110(constB18) | v117(constB18)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21545,plain,
% 218.45/141.03 (v109(constB18) <=> (v110(constB18) | v117(constB18))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21544, 456])).
% 218.45/141.03 tff(21546,assumption,(~v109(constB18)), introduced(assumption)).
% 218.45/141.03 tff(21547,plain,
% 218.45/141.03 ((~(v109(constB18) <=> (v110(constB18) | v117(constB18)))) | v109(constB18) | (~(v110(constB18) | v117(constB18)))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21548,plain,
% 218.45/141.03 ((~(v109(constB18) <=> (v110(constB18) | v117(constB18)))) | (~(v110(constB18) | v117(constB18)))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21547, 21546])).
% 218.45/141.03 tff(21549,plain,
% 218.45/141.03 (~(v110(constB18) | v117(constB18))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21548, 21545])).
% 218.45/141.03 tff(21550,plain,
% 218.45/141.03 ((v110(constB18) | v117(constB18)) | (~v110(constB18))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21551,plain,
% 218.45/141.03 (~v110(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21550, 21549])).
% 218.45/141.03 tff(21552,plain,
% 218.45/141.03 ((~(v110(constB18) <=> (v111(constB18) | v116(constB18)))) | v110(constB18) | (~(v111(constB18) | v116(constB18)))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21553,plain,
% 218.45/141.03 ((~(v110(constB18) <=> (v111(constB18) | v116(constB18)))) | (~(v111(constB18) | v116(constB18)))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21552, 21551])).
% 218.45/141.03 tff(21554,plain,
% 218.45/141.03 (~(v111(constB18) | v116(constB18))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21553, 21543])).
% 218.45/141.03 tff(21555,plain,
% 218.45/141.03 ((v111(constB18) | v116(constB18)) | (~v111(constB18))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21556,plain,
% 218.45/141.03 (~v111(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21555, 21554])).
% 218.45/141.03 tff(21557,plain,
% 218.45/141.03 ((~(v111(constB18) <=> (v112(constB18) | v115(constB18)))) | v111(constB18) | (~(v112(constB18) | v115(constB18)))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21558,plain,
% 218.45/141.03 (~(v112(constB18) | v115(constB18))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21557, 21556, 21541])).
% 218.45/141.03 tff(21559,plain,
% 218.45/141.03 ((v112(constB18) | v115(constB18)) | (~v115(constB18))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21560,plain,
% 218.45/141.03 (~v115(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21559, 21558])).
% 218.45/141.03 tff(21561,plain,
% 218.45/141.03 ((~(v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2))))) | v115(constB18) | (v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21562,plain,
% 218.45/141.03 (v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21561, 21560, 21539])).
% 218.45/141.03 tff(21563,plain,
% 218.45/141.03 ((v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))) | v84(constB18, 2)),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21564,plain,
% 218.45/141.03 (v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21563, 21530])).
% 218.45/141.03 tff(21565,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB18) <=> (v113(constB18) | v114(constB18)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21566,plain,
% 218.45/141.03 (v112(constB18) <=> (v113(constB18) | v114(constB18))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21565, 283])).
% 218.45/141.03 tff(21567,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB18) <=> (~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21568,plain,
% 218.45/141.03 (v114(constB18) <=> (~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0))))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21567, 298])).
% 218.45/141.03 tff(21569,assumption,(~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))), introduced(assumption)).
% 218.45/141.03 tff(21570,plain,
% 218.45/141.03 ((~(v114(constB18) <=> (~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))))) | v114(constB18) | (v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21571,plain,
% 218.45/141.03 ((~(v114(constB18) <=> (~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))))) | v114(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21570, 21569])).
% 218.45/141.03 tff(21572,plain,
% 218.45/141.03 (v114(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21571, 21568])).
% 218.45/141.03 tff(21573,plain,
% 218.45/141.03 ((v113(constB18) | v114(constB18)) | (~v114(constB18))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21574,plain,
% 218.45/141.03 (v113(constB18) | v114(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21573, 21572])).
% 218.45/141.03 tff(21575,plain,
% 218.45/141.03 ((~(v112(constB18) <=> (v113(constB18) | v114(constB18)))) | v112(constB18) | (~(v113(constB18) | v114(constB18)))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21576,plain,
% 218.45/141.03 ((~(v112(constB18) <=> (v113(constB18) | v114(constB18)))) | v112(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21575, 21574])).
% 218.45/141.03 tff(21577,plain,
% 218.45/141.03 (v112(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21576, 21566])).
% 218.45/141.03 tff(21578,plain,
% 218.45/141.03 ((v112(constB18) | v115(constB18)) | (~v112(constB18))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21579,plain,
% 218.45/141.03 (v112(constB18) | v115(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21578, 21577])).
% 218.45/141.03 tff(21580,plain,
% 218.45/141.03 ($false),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21557, 21556, 21579, 21541])).
% 218.45/141.03 tff(21581,plain,(v109(constB18) | (v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.03 tff(21582,plain,
% 218.45/141.03 (v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21581, 21546])).
% 218.45/141.03 tff(21583,plain,
% 218.45/141.03 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21584,plain,
% 218.45/141.03 ((v116(constB18) <=> (~(v84(constB18, 2) | (~v84(constB18, 1)) | (~v84(constB18, 0))))) <=> (v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0)))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21585,plain,
% 218.45/141.03 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB18) <=> (~(v84(constB18, 2) | (~v84(constB18, 1)) | (~v84(constB18, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))))))),
% 218.45/141.03 inference(monotonicity,[status(thm)],[21584])).
% 218.45/141.03 tff(21586,plain,
% 218.45/141.03 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB18) <=> (~(v84(constB18, 2) | (~v84(constB18, 1)) | (~v84(constB18, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))))))),
% 218.45/141.03 inference(transitivity,[status(thm)],[21585, 21583])).
% 218.45/141.03 tff(21587,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB18) <=> (~(v84(constB18, 2) | (~v84(constB18, 1)) | (~v84(constB18, 0)))))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21588,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0)))))),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21587, 21586])).
% 218.45/141.03 tff(21589,plain,
% 218.45/141.03 (v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21588, 521])).
% 218.45/141.03 tff(21590,plain,
% 218.45/141.03 ((v111(constB18) | v116(constB18)) | (~v116(constB18))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21591,plain,
% 218.45/141.03 (~v116(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21590, 21554])).
% 218.45/141.03 tff(21592,plain,
% 218.45/141.03 ((~(v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0)))))) | v116(constB18) | ((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0)))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21593,plain,
% 218.45/141.03 ((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21592, 21591, 21589])).
% 218.45/141.03 tff(21594,assumption,(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0))), introduced(assumption)).
% 218.45/141.03 tff(21595,assumption,(v84(constB18, 0)), introduced(assumption)).
% 218.45/141.03 tff(21596,assumption,((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))), introduced(assumption)).
% 218.45/141.03 tff(21597,plain,
% 218.45/141.03 ((~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0)))) | (~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21598,plain,
% 218.45/141.03 (~v84(constB18, 1)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21597, 21530, 21595, 21596])).
% 218.45/141.03 tff(21599,plain,
% 218.45/141.03 ((~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))) | v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21600,plain,
% 218.45/141.03 ($false),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21599, 21598, 21530, 21595, 21594])).
% 218.45/141.03 tff(21601,plain,(v84(constB18, 2) | (~v84(constB18, 0)) | (~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))) | (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.03 tff(21602,plain,
% 218.45/141.03 (~v84(constB18, 0)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21601, 21593, 21530, 21582])).
% 218.45/141.03 tff(21603,assumption,(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))), introduced(assumption)).
% 218.45/141.03 tff(21604,assumption,(~v84(constB18, 0)), introduced(assumption)).
% 218.45/141.03 tff(21605,assumption,(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)), introduced(assumption)).
% 218.45/141.03 tff(21606,assumption,(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2)), introduced(assumption)).
% 218.45/141.03 tff(21607,plain,
% 218.45/141.03 ((~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2))) | v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21608,plain,
% 218.45/141.03 (~v84(constB18, 1)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21607, 21530, 21604, 21605])).
% 218.45/141.03 tff(21609,plain,
% 218.45/141.03 ((~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))) | v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2)),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21610,plain,
% 218.45/141.03 ($false),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21609, 21608, 21530, 21604, 21606])).
% 218.45/141.03 tff(21611,plain,(v84(constB18, 2) | v84(constB18, 0) | (~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))) | (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.03 tff(21612,plain,
% 218.45/141.03 (v84(constB18, 2)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21611, 21604, 21606, 21605])).
% 218.45/141.03 tff(21613,assumption,(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))), introduced(assumption)).
% 218.45/141.03 tff(21614,plain,
% 218.45/141.03 ((~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2)))) | v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21615,plain,
% 218.45/141.03 (~v84(constB18, 1)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21614, 21612, 21604, 21613])).
% 218.45/141.03 tff(21616,plain,
% 218.45/141.03 ((~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))) | v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21617,plain,
% 218.45/141.03 ($false),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21616, 21615, 21612, 21604, 21603])).
% 218.45/141.03 tff(21618,plain,(v84(constB18, 0) | (~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))) | (~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2)))) | (~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))) | (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.03 tff(21619,plain,
% 218.45/141.03 (~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21618, 21602, 21564, 21562, 21532])).
% 218.45/141.03 tff(21620,plain,
% 218.45/141.03 (~v112(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21578, 21558])).
% 218.45/141.03 tff(21621,plain,
% 218.45/141.03 (~(v113(constB18) | v114(constB18))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21575, 21620, 21566])).
% 218.45/141.03 tff(21622,plain,
% 218.45/141.03 ((v113(constB18) | v114(constB18)) | (~v113(constB18))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21623,plain,
% 218.45/141.03 (~v113(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21622, 21621])).
% 218.45/141.03 tff(21624,plain,
% 218.45/141.03 ((~(v113(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))))) | v113(constB18) | (v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21625,plain,
% 218.45/141.03 ($false),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21624, 21623, 21619, 21529])).
% 218.45/141.03 tff(21626,plain,(v109(constB18) | v84(constB18, 2)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.03 tff(21627,plain,
% 218.45/141.03 (v109(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21626, 21527])).
% 218.45/141.03 tff(21628,plain,
% 218.45/141.03 ((v109(constB18) | v118(constB18)) | (~v109(constB18))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21629,plain,
% 218.45/141.03 (v109(constB18) | v118(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21628, 21627])).
% 218.45/141.03 tff(21630,assumption,(~(v108(constB18) <=> (v109(constB18) | v118(constB18)))), introduced(assumption)).
% 218.45/141.03 tff(21631,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB18) <=> (v109(constB18) | v118(constB18)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21632,plain,
% 218.45/141.03 ($false),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21631, 428, 21630])).
% 218.45/141.03 tff(21633,plain,(v108(constB18) <=> (v109(constB18) | v118(constB18))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.03 tff(21634,plain,
% 218.45/141.03 ((~(v108(constB18) <=> (v109(constB18) | v118(constB18)))) | v108(constB18) | (~(v109(constB18) | v118(constB18)))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21635,plain,
% 218.45/141.03 (v108(constB18) | (~(v109(constB18) | v118(constB18)))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21634, 21633])).
% 218.45/141.03 tff(21636,plain,
% 218.45/141.03 (v108(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21635, 21629])).
% 218.45/141.03 tff(21637,plain,
% 218.45/141.03 ((v108(constB18) | v119(constB18)) | (~v108(constB18))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21638,plain,
% 218.45/141.03 (v108(constB18) | v119(constB18)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21637, 21636])).
% 218.45/141.03 tff(21639,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB17) <=> (v108(constB17) | v119(constB17)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21640,plain,
% 218.45/141.03 (v107(constB17) <=> (v108(constB17) | v119(constB17))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21639, 187])).
% 218.45/141.03 tff(21641,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB17) <=> (v109(constB17) | v118(constB17)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21642,plain,
% 218.45/141.03 (v108(constB17) <=> (v109(constB17) | v118(constB17))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21641, 428])).
% 218.45/141.03 tff(21643,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB17) <=> (v110(constB17) | v117(constB17)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21644,plain,
% 218.45/141.03 (v109(constB17) <=> (v110(constB17) | v117(constB17))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21643, 456])).
% 218.45/141.03 tff(21645,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB17) <=> (v111(constB17) | v116(constB17)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21646,plain,
% 218.45/141.03 (v110(constB17) <=> (v111(constB17) | v116(constB17))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21645, 265])).
% 218.45/141.03 tff(21647,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB17) <=> (v112(constB17) | v115(constB17)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21648,plain,
% 218.45/141.03 (v111(constB17) <=> (v112(constB17) | v115(constB17))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21647, 274])).
% 218.45/141.03 tff(21649,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB17) <=> (v113(constB17) | v114(constB17)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21650,plain,
% 218.45/141.03 (v112(constB17) <=> (v113(constB17) | v114(constB17))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21649, 283])).
% 218.45/141.03 tff(21651,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21652,plain,
% 218.45/141.03 (v114(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21651, 298])).
% 218.45/141.03 tff(21653,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB15) <=> (v108(constB15) | v119(constB15)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21654,plain,
% 218.45/141.03 (v107(constB15) <=> (v108(constB15) | v119(constB15))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21653, 187])).
% 218.45/141.03 tff(21655,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB15) <=> (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21656,plain,
% 218.45/141.03 (v119(constB15) <=> (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2))))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21655, 318])).
% 218.45/141.03 tff(21657,plain,
% 218.45/141.03 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21658,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14')).
% 218.45/141.03 tff(21659,plain,
% 218.45/141.03 (nextState(constB14, constB15)),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21658, 21657])).
% 218.45/141.03 tff(21660,plain,
% 218.45/141.03 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15))))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21661,plain,
% 218.45/141.03 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15))))))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21662,plain,
% 218.45/141.03 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15)))))),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21661, 21660])).
% 218.45/141.03 tff(21663,plain,
% 218.45/141.03 (v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15))))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21662, 21659, 14])).
% 218.45/141.03 tff(21664,plain,
% 218.45/141.03 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21665,plain,
% 218.45/141.03 (((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15)))))) <=> ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21666,plain,
% 218.45/141.03 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))))),
% 218.45/141.03 inference(monotonicity,[status(thm)],[21665])).
% 218.45/141.03 tff(21667,plain,
% 218.45/141.03 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))),
% 218.45/141.03 inference(transitivity,[status(thm)],[21666, 21664])).
% 218.45/141.03 tff(21668,plain,
% 218.45/141.03 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15))))))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21669,plain,
% 218.45/141.03 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21668, 21667])).
% 218.45/141.03 tff(21670,plain,
% 218.45/141.03 (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21669, 21659, 37])).
% 218.45/141.03 tff(21671,plain,
% 218.45/141.03 ((~v1(constB15)) <=> (~v1(constB15))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21672,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15')).
% 218.45/141.03 tff(21673,plain,
% 218.45/141.03 (~v1(constB15)),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21672, 21671])).
% 218.45/141.03 tff(21674,plain,
% 218.45/141.03 (((~v1(constB15)) | (~v96(constB15))) | v1(constB15)),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21675,plain,
% 218.45/141.03 ((~v1(constB15)) | (~v96(constB15))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21674, 21673])).
% 218.45/141.03 tff(21676,plain,
% 218.45/141.03 ((~(v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))) | (~v95(constB15)) | (~((~v1(constB15)) | (~v96(constB15))))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21677,plain,
% 218.45/141.03 ((~(v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))) | (~v95(constB15))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21676, 21675])).
% 218.45/141.03 tff(21678,plain,
% 218.45/141.03 (~v95(constB15)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21677, 21670])).
% 218.45/141.03 tff(21679,plain,
% 218.45/141.03 (((~v95(constB15)) | (~v104(constB15))) | v95(constB15)),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21680,plain,
% 218.45/141.03 ((~v95(constB15)) | (~v104(constB15))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21679, 21678])).
% 218.45/141.03 tff(21681,plain,
% 218.45/141.03 ((~(v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15)))))) | (~v94(constB15)) | (~((~v95(constB15)) | (~v104(constB15))))),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21682,plain,
% 218.45/141.03 (~v94(constB15)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21681, 21680, 21663])).
% 218.45/141.03 tff(21683,plain,
% 218.45/141.03 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB15) | (~nextState(constB14, constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB15) | (~nextState(constB14, constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21684,plain,
% 218.45/141.03 ((v94(constB15) | (~nextState(constB14, constB15)) | ![B: $int] : ((v84(constB15, B) <=> v84(constB14, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB15) | (~nextState(constB14, constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21685,plain,
% 218.45/141.03 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB15) | (~nextState(constB14, constB15)) | ![B: $int] : ((v84(constB15, B) <=> v84(constB14, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB15) | (~nextState(constB14, constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))))),
% 218.45/141.03 inference(monotonicity,[status(thm)],[21684])).
% 218.45/141.03 tff(21686,plain,
% 218.45/141.03 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB15) | (~nextState(constB14, constB15)) | ![B: $int] : ((v84(constB15, B) <=> v84(constB14, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB15) | (~nextState(constB14, constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B))))),
% 218.45/141.03 inference(transitivity,[status(thm)],[21685, 21683])).
% 218.45/141.03 tff(21687,plain,
% 218.45/141.03 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB15) | (~nextState(constB14, constB15)) | ![B: $int] : ((v84(constB15, B) <=> v84(constB14, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21688,plain,
% 218.45/141.03 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB15) | (~nextState(constB14, constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21687, 21686])).
% 218.45/141.03 tff(21689,plain,
% 218.45/141.03 (v94(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21688, 21659, 235])).
% 218.45/141.03 tff(21690,plain,
% 218.45/141.03 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21689, 21682])).
% 218.45/141.03 tff(21691,plain,
% 218.45/141.03 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 0) <=> v84(constB14, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 0) <=> v84(constB14, 0)))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21692,plain,
% 218.45/141.03 (($false | $false | (v84(constB15, 0) <=> v84(constB14, 0))) <=> (v84(constB15, 0) <=> v84(constB14, 0))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21693,plain,
% 218.45/141.03 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB15, 0) <=> v84(constB14, 0))) <=> ($false | $false | (v84(constB15, 0) <=> v84(constB14, 0)))),
% 218.45/141.03 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.03 tff(21694,plain,
% 218.45/141.03 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB15, 0) <=> v84(constB14, 0))) <=> (v84(constB15, 0) <=> v84(constB14, 0))),
% 218.45/141.03 inference(transitivity,[status(thm)],[21693, 21692])).
% 218.45/141.03 tff(21695,plain,
% 218.45/141.03 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB15, 0) <=> v84(constB14, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 0) <=> v84(constB14, 0)))),
% 218.45/141.03 inference(monotonicity,[status(thm)],[21694])).
% 218.45/141.03 tff(21696,plain,
% 218.45/141.03 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB15, 0) <=> v84(constB14, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 0) <=> v84(constB14, 0)))),
% 218.45/141.03 inference(transitivity,[status(thm)],[21695, 21691])).
% 218.45/141.03 tff(21697,plain,
% 218.45/141.03 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB15, 0) <=> v84(constB14, 0)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21698,plain,
% 218.45/141.03 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 0) <=> v84(constB14, 0))),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21697, 21696])).
% 218.45/141.03 tff(21699,plain,
% 218.45/141.03 (v84(constB15, 0) <=> v84(constB14, 0)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21698, 21690])).
% 218.45/141.03 tff(21700,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB13) <=> (v108(constB13) | v119(constB13)))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21701,plain,
% 218.45/141.03 (v107(constB13) <=> (v108(constB13) | v119(constB13))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21700, 187])).
% 218.45/141.03 tff(21702,plain,
% 218.45/141.03 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB13) <=> (~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB13) <=> (~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0)))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21703,plain,
% 218.45/141.03 ((v119(constB13) <=> (~(v84(constB13, 0) | (~v84(constB13, 1)) | (~v84(constB13, 2))))) <=> (v119(constB13) <=> (~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21704,plain,
% 218.45/141.03 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB13) <=> (~(v84(constB13, 0) | (~v84(constB13, 1)) | (~v84(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB13) <=> (~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0)))))),
% 218.45/141.03 inference(monotonicity,[status(thm)],[21703])).
% 218.45/141.03 tff(21705,plain,
% 218.45/141.03 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB13) <=> (~(v84(constB13, 0) | (~v84(constB13, 1)) | (~v84(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB13) <=> (~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0)))))),
% 218.45/141.03 inference(transitivity,[status(thm)],[21704, 21702])).
% 218.45/141.03 tff(21706,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB13) <=> (~(v84(constB13, 0) | (~v84(constB13, 1)) | (~v84(constB13, 2)))))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21707,plain,
% 218.45/141.03 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB13) <=> (~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0))))),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21706, 21705])).
% 218.45/141.03 tff(21708,plain,
% 218.45/141.03 (v119(constB13) <=> (~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0)))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21707, 318])).
% 218.45/141.03 tff(21709,plain,
% 218.45/141.03 (v84(constB12, 1)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20396, 20467])).
% 218.45/141.03 tff(21710,plain,
% 218.45/141.03 (~v117(constB11)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20456, 21709])).
% 218.45/141.03 tff(21711,assumption,(~(v109(constB11) | v118(constB11))), introduced(assumption)).
% 218.45/141.03 tff(21712,plain,
% 218.45/141.03 (~v109(constB11)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20161, 21711])).
% 218.45/141.03 tff(21713,plain,
% 218.45/141.03 (~(v110(constB11) | v117(constB11))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20382, 21712])).
% 218.45/141.03 tff(21714,plain,
% 218.45/141.03 (~v110(constB11)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20193, 21713])).
% 218.45/141.03 tff(21715,plain,
% 218.45/141.03 (~v118(constB11)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20214, 21711])).
% 218.45/141.03 tff(21716,plain,
% 218.45/141.03 (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20202, 21712])).
% 218.45/141.03 tff(21717,plain,
% 218.45/141.03 (~v114(constB11)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20594, 21716])).
% 218.45/141.03 tff(21718,plain,
% 218.45/141.03 (v111(constB11) | v116(constB11)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20627, 21717, 20601, 20599, 21715])).
% 218.45/141.03 tff(21719,plain,
% 218.45/141.03 ($false),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20388, 21718, 21714])).
% 218.45/141.03 tff(21720,plain,((v109(constB11) | v118(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v117(constB11)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.03 tff(21721,plain,
% 218.45/141.03 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21720, 20405, 21710])).
% 218.45/141.03 tff(21722,plain,
% 218.45/141.03 (~v124(constB11, 1)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20587, 21721])).
% 218.45/141.03 tff(21723,plain,
% 218.45/141.03 (v84(constB12, 0)),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[20572, 21722, 21709])).
% 218.45/141.03 tff(21724,assumption,(~(v84(constB13, 0) <=> v84(constB12, 0))), introduced(assumption)).
% 218.45/141.03 tff(21725,plain,
% 218.45/141.03 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21726,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12')).
% 218.45/141.03 tff(21727,plain,
% 218.45/141.03 (nextState(constB12, constB13)),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21726, 21725])).
% 218.45/141.03 tff(21728,plain,
% 218.45/141.03 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13))))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21729,plain,
% 218.45/141.03 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13))))))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21730,plain,
% 218.45/141.03 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13)))))),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21729, 21728])).
% 218.45/141.03 tff(21731,plain,
% 218.45/141.03 (v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13))))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21730, 21727, 14])).
% 218.45/141.03 tff(21732,plain,
% 218.45/141.03 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21733,plain,
% 218.45/141.03 (((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13)))))) <=> ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21734,plain,
% 218.45/141.03 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))))),
% 218.45/141.03 inference(monotonicity,[status(thm)],[21733])).
% 218.45/141.03 tff(21735,plain,
% 218.45/141.03 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))),
% 218.45/141.03 inference(transitivity,[status(thm)],[21734, 21732])).
% 218.45/141.03 tff(21736,plain,
% 218.45/141.03 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13))))))),
% 218.45/141.03 inference(quant_inst,[status(thm)],[])).
% 218.45/141.03 tff(21737,plain,
% 218.45/141.03 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21736, 21735])).
% 218.45/141.03 tff(21738,plain,
% 218.45/141.03 (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21737, 21727, 37])).
% 218.45/141.03 tff(21739,plain,
% 218.45/141.03 ((~v1(constB13)) <=> (~v1(constB13))),
% 218.45/141.03 inference(rewrite,[status(thm)],[])).
% 218.45/141.03 tff(21740,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13')).
% 218.45/141.03 tff(21741,plain,
% 218.45/141.03 (~v1(constB13)),
% 218.45/141.03 inference(modus_ponens,[status(thm)],[21740, 21739])).
% 218.45/141.03 tff(21742,plain,
% 218.45/141.03 (((~v1(constB13)) | (~v96(constB13))) | v1(constB13)),
% 218.45/141.03 inference(tautology,[status(thm)],[])).
% 218.45/141.03 tff(21743,plain,
% 218.45/141.03 ((~v1(constB13)) | (~v96(constB13))),
% 218.45/141.03 inference(unit_resolution,[status(thm)],[21742, 21741])).
% 218.45/141.03 tff(21744,plain,
% 218.45/141.04 ((~(v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))) | (~v95(constB13)) | (~((~v1(constB13)) | (~v96(constB13))))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21745,plain,
% 218.45/141.04 ((~(v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))) | (~v95(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21744, 21743])).
% 218.45/141.04 tff(21746,plain,
% 218.45/141.04 (~v95(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21745, 21738])).
% 218.45/141.04 tff(21747,plain,
% 218.45/141.04 (((~v95(constB13)) | (~v104(constB13))) | v95(constB13)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21748,plain,
% 218.45/141.04 ((~v95(constB13)) | (~v104(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21747, 21746])).
% 218.45/141.04 tff(21749,plain,
% 218.45/141.04 ((~(v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13)))))) | (~v94(constB13)) | (~((~v95(constB13)) | (~v104(constB13))))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21750,plain,
% 218.45/141.04 (~v94(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21749, 21748, 21731])).
% 218.45/141.04 tff(21751,plain,
% 218.45/141.04 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB13) | (~nextState(constB12, constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB13) | (~nextState(constB12, constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B))))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21752,plain,
% 218.45/141.04 ((v94(constB13) | (~nextState(constB12, constB13)) | ![B: $int] : ((v84(constB13, B) <=> v84(constB12, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB13) | (~nextState(constB12, constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B))))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21753,plain,
% 218.45/141.04 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB13) | (~nextState(constB12, constB13)) | ![B: $int] : ((v84(constB13, B) <=> v84(constB12, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB13) | (~nextState(constB12, constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))))),
% 218.45/141.04 inference(monotonicity,[status(thm)],[21752])).
% 218.45/141.04 tff(21754,plain,
% 218.45/141.04 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB13) | (~nextState(constB12, constB13)) | ![B: $int] : ((v84(constB13, B) <=> v84(constB12, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB13) | (~nextState(constB12, constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B))))),
% 218.45/141.04 inference(transitivity,[status(thm)],[21753, 21751])).
% 218.45/141.04 tff(21755,plain,
% 218.45/141.04 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB13) | (~nextState(constB12, constB13)) | ![B: $int] : ((v84(constB13, B) <=> v84(constB12, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21756,plain,
% 218.45/141.04 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB13) | (~nextState(constB12, constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))),
% 218.45/141.04 inference(modus_ponens,[status(thm)],[21755, 21754])).
% 218.45/141.04 tff(21757,plain,
% 218.45/141.04 (v94(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21756, 21727, 235])).
% 218.45/141.04 tff(21758,plain,
% 218.45/141.04 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21757, 21750])).
% 218.45/141.04 tff(21759,plain,
% 218.45/141.04 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 0) <=> v84(constB12, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 0) <=> v84(constB12, 0)))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21760,plain,
% 218.45/141.04 (($false | $false | (v84(constB13, 0) <=> v84(constB12, 0))) <=> (v84(constB13, 0) <=> v84(constB12, 0))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21761,plain,
% 218.45/141.04 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB13, 0) <=> v84(constB12, 0))) <=> ($false | $false | (v84(constB13, 0) <=> v84(constB12, 0)))),
% 218.45/141.04 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.04 tff(21762,plain,
% 218.45/141.04 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB13, 0) <=> v84(constB12, 0))) <=> (v84(constB13, 0) <=> v84(constB12, 0))),
% 218.45/141.04 inference(transitivity,[status(thm)],[21761, 21760])).
% 218.45/141.04 tff(21763,plain,
% 218.45/141.04 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB13, 0) <=> v84(constB12, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 0) <=> v84(constB12, 0)))),
% 218.45/141.04 inference(monotonicity,[status(thm)],[21762])).
% 218.45/141.04 tff(21764,plain,
% 218.45/141.04 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB13, 0) <=> v84(constB12, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 0) <=> v84(constB12, 0)))),
% 218.45/141.04 inference(transitivity,[status(thm)],[21763, 21759])).
% 218.45/141.04 tff(21765,plain,
% 218.45/141.04 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB13, 0) <=> v84(constB12, 0)))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21766,plain,
% 218.45/141.04 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 0) <=> v84(constB12, 0))),
% 218.45/141.04 inference(modus_ponens,[status(thm)],[21765, 21764])).
% 218.45/141.04 tff(21767,plain,
% 218.45/141.04 ($false),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21766, 21758, 21724])).
% 218.45/141.04 tff(21768,plain,(v84(constB13, 0) <=> v84(constB12, 0)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.04 tff(21769,plain,
% 218.45/141.04 ((~(v84(constB13, 0) <=> v84(constB12, 0))) | v84(constB13, 0) | (~v84(constB12, 0))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21770,plain,
% 218.45/141.04 (v84(constB13, 0) | (~v84(constB12, 0))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21769, 21768])).
% 218.45/141.04 tff(21771,plain,
% 218.45/141.04 (v84(constB13, 0)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21770, 21723])).
% 218.45/141.04 tff(21772,plain,
% 218.45/141.04 (((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0)) | (~v84(constB13, 0))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21773,plain,
% 218.45/141.04 ((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21772, 21771])).
% 218.45/141.04 tff(21774,plain,
% 218.45/141.04 ((~(v119(constB13) <=> (~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0))))) | (~v119(constB13)) | (~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0)))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21775,plain,
% 218.45/141.04 ((~(v119(constB13) <=> (~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0))))) | (~v119(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21774, 21773])).
% 218.45/141.04 tff(21776,plain,
% 218.45/141.04 (~v119(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21775, 21708])).
% 218.45/141.04 tff(21777,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB13) <=> (v109(constB13) | v118(constB13)))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21778,plain,
% 218.45/141.04 (v108(constB13) <=> (v109(constB13) | v118(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21777, 428])).
% 218.45/141.04 tff(21779,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB13) <=> (v110(constB13) | v117(constB13)))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21780,plain,
% 218.45/141.04 (v109(constB13) <=> (v110(constB13) | v117(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21779, 456])).
% 218.45/141.04 tff(21781,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB13) <=> (v111(constB13) | v116(constB13)))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21782,plain,
% 218.45/141.04 (v110(constB13) <=> (v111(constB13) | v116(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21781, 265])).
% 218.45/141.04 tff(21783,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))))))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21784,plain,
% 218.45/141.04 ((v116(constB13) <=> (~(v84(constB13, 2) | (~v84(constB13, 1)) | (~v84(constB13, 0))))) <=> (v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21785,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB13) <=> (~(v84(constB13, 2) | (~v84(constB13, 1)) | (~v84(constB13, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))))))),
% 218.45/141.04 inference(monotonicity,[status(thm)],[21784])).
% 218.45/141.04 tff(21786,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB13) <=> (~(v84(constB13, 2) | (~v84(constB13, 1)) | (~v84(constB13, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))))))),
% 218.45/141.04 inference(transitivity,[status(thm)],[21785, 21783])).
% 218.45/141.04 tff(21787,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB13) <=> (~(v84(constB13, 2) | (~v84(constB13, 1)) | (~v84(constB13, 0)))))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21788,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))))),
% 218.45/141.04 inference(modus_ponens,[status(thm)],[21787, 21786])).
% 218.45/141.04 tff(21789,plain,
% 218.45/141.04 (v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21788, 521])).
% 218.45/141.04 tff(21790,plain,
% 218.45/141.04 (v84(constB12, 2)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[20630, 21709, 20398])).
% 218.45/141.04 tff(21791,assumption,(~(v84(constB13, 2) <=> v84(constB12, 2))), introduced(assumption)).
% 218.45/141.04 tff(21792,plain,
% 218.45/141.04 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 2) <=> v84(constB12, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 2) <=> v84(constB12, 2)))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21793,plain,
% 218.45/141.04 (($false | $false | (v84(constB13, 2) <=> v84(constB12, 2))) <=> (v84(constB13, 2) <=> v84(constB12, 2))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21794,plain,
% 218.45/141.04 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB13, 2) <=> v84(constB12, 2))) <=> ($false | $false | (v84(constB13, 2) <=> v84(constB12, 2)))),
% 218.45/141.04 inference(monotonicity,[status(thm)],[534, 533])).
% 218.45/141.04 tff(21795,plain,
% 218.45/141.04 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB13, 2) <=> v84(constB12, 2))) <=> (v84(constB13, 2) <=> v84(constB12, 2))),
% 218.45/141.04 inference(transitivity,[status(thm)],[21794, 21793])).
% 218.45/141.04 tff(21796,plain,
% 218.45/141.04 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB13, 2) <=> v84(constB12, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 2) <=> v84(constB12, 2)))),
% 218.45/141.04 inference(monotonicity,[status(thm)],[21795])).
% 218.45/141.04 tff(21797,plain,
% 218.45/141.04 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB13, 2) <=> v84(constB12, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 2) <=> v84(constB12, 2)))),
% 218.45/141.04 inference(transitivity,[status(thm)],[21796, 21792])).
% 218.45/141.04 tff(21798,plain,
% 218.45/141.04 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB13, 2) <=> v84(constB12, 2)))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21799,plain,
% 218.45/141.04 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 2) <=> v84(constB12, 2))),
% 218.45/141.04 inference(modus_ponens,[status(thm)],[21798, 21797])).
% 218.45/141.04 tff(21800,plain,
% 218.45/141.04 ($false),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21799, 21758, 21791])).
% 218.45/141.04 tff(21801,plain,(v84(constB13, 2) <=> v84(constB12, 2)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.04 tff(21802,plain,
% 218.45/141.04 ((~(v84(constB13, 2) <=> v84(constB12, 2))) | v84(constB13, 2) | (~v84(constB12, 2))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21803,plain,
% 218.45/141.04 (v84(constB13, 2) | (~v84(constB12, 2))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21802, 21801])).
% 218.45/141.04 tff(21804,plain,
% 218.45/141.04 (v84(constB13, 2)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21803, 21790])).
% 218.45/141.04 tff(21805,plain,
% 218.45/141.04 (((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))) | (~v84(constB13, 2))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21806,plain,
% 218.45/141.04 ((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21805, 21804])).
% 218.45/141.04 tff(21807,plain,
% 218.45/141.04 ((~(v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))))) | (~v116(constB13)) | (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21808,plain,
% 218.45/141.04 ((~(v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))))) | (~v116(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21807, 21806])).
% 218.45/141.04 tff(21809,plain,
% 218.45/141.04 (~v116(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21808, 21789])).
% 218.45/141.04 tff(21810,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB13) <=> (v112(constB13) | v115(constB13)))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21811,plain,
% 218.45/141.04 (v111(constB13) <=> (v112(constB13) | v115(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21810, 274])).
% 218.45/141.04 tff(21812,plain,
% 218.45/141.04 (((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)) | (~v84(constB13, 2))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21813,plain,
% 218.45/141.04 ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21812, 21804])).
% 218.45/141.04 tff(21814,assumption,(~(v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))))), introduced(assumption)).
% 218.45/141.04 tff(21815,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)))))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21816,plain,
% 218.45/141.04 ((v115(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 2) | (~v84(constB13, 1))))) <=> (v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21817,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 2) | (~v84(constB13, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)))))),
% 218.45/141.04 inference(monotonicity,[status(thm)],[21816])).
% 218.45/141.04 tff(21818,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 2) | (~v84(constB13, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)))))),
% 218.45/141.04 inference(transitivity,[status(thm)],[21817, 21815])).
% 218.45/141.04 tff(21819,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 2) | (~v84(constB13, 1)))))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21820,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))))),
% 218.45/141.04 inference(modus_ponens,[status(thm)],[21819, 21818])).
% 218.45/141.04 tff(21821,plain,
% 218.45/141.04 ($false),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21820, 622, 21814])).
% 218.45/141.04 tff(21822,plain,(v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.04 tff(21823,plain,
% 218.45/141.04 ((~(v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))))) | (~v115(constB13)) | (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21824,plain,
% 218.45/141.04 ((~v115(constB13)) | (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21823, 21822])).
% 218.45/141.04 tff(21825,plain,
% 218.45/141.04 (~v115(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21824, 21813])).
% 218.45/141.04 tff(21826,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB13) <=> (v113(constB13) | v114(constB13)))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21827,plain,
% 218.45/141.04 (v112(constB13) <=> (v113(constB13) | v114(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21826, 283])).
% 218.45/141.04 tff(21828,assumption,(~(v84(constB13, 1) <=> v84(constB12, 1))), introduced(assumption)).
% 218.45/141.04 tff(21829,plain,
% 218.45/141.04 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 1) <=> v84(constB12, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 1) <=> v84(constB12, 1)))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21830,plain,
% 218.45/141.04 (($false | $false | (v84(constB13, 1) <=> v84(constB12, 1))) <=> (v84(constB13, 1) <=> v84(constB12, 1))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21831,plain,
% 218.45/141.04 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB13, 1) <=> v84(constB12, 1))) <=> ($false | $false | (v84(constB13, 1) <=> v84(constB12, 1)))),
% 218.45/141.04 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.04 tff(21832,plain,
% 218.45/141.04 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB13, 1) <=> v84(constB12, 1))) <=> (v84(constB13, 1) <=> v84(constB12, 1))),
% 218.45/141.04 inference(transitivity,[status(thm)],[21831, 21830])).
% 218.45/141.04 tff(21833,plain,
% 218.45/141.04 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB13, 1) <=> v84(constB12, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 1) <=> v84(constB12, 1)))),
% 218.45/141.04 inference(monotonicity,[status(thm)],[21832])).
% 218.45/141.04 tff(21834,plain,
% 218.45/141.04 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB13, 1) <=> v84(constB12, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 1) <=> v84(constB12, 1)))),
% 218.45/141.04 inference(transitivity,[status(thm)],[21833, 21829])).
% 218.45/141.04 tff(21835,plain,
% 218.45/141.04 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB13, 1) <=> v84(constB12, 1)))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21836,plain,
% 218.45/141.04 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB13, B) <=> v84(constB12, B)))) | (v84(constB13, 1) <=> v84(constB12, 1))),
% 218.45/141.04 inference(modus_ponens,[status(thm)],[21835, 21834])).
% 218.45/141.04 tff(21837,plain,
% 218.45/141.04 ($false),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21836, 21758, 21828])).
% 218.45/141.04 tff(21838,plain,(v84(constB13, 1) <=> v84(constB12, 1)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.04 tff(21839,plain,
% 218.45/141.04 ((~(v84(constB13, 1) <=> v84(constB12, 1))) | v84(constB13, 1) | (~v84(constB12, 1))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21840,plain,
% 218.45/141.04 (v84(constB13, 1) | (~v84(constB12, 1))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21839, 21838])).
% 218.45/141.04 tff(21841,plain,
% 218.45/141.04 (v84(constB13, 1)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21840, 21709])).
% 218.45/141.04 tff(21842,plain,
% 218.45/141.04 ((v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))) | (~v84(constB13, 1))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21843,plain,
% 218.45/141.04 (v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21842, 21841])).
% 218.45/141.04 tff(21844,assumption,(~(v114(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))))), introduced(assumption)).
% 218.45/141.04 tff(21845,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21846,plain,
% 218.45/141.04 ($false),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21845, 298, 21844])).
% 218.45/141.04 tff(21847,plain,(v114(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.04 tff(21848,plain,
% 218.45/141.04 ((~(v114(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))))) | (~v114(constB13)) | (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21849,plain,
% 218.45/141.04 ((~v114(constB13)) | (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21848, 21847])).
% 218.45/141.04 tff(21850,plain,
% 218.45/141.04 (~v114(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21849, 21843])).
% 218.45/141.04 tff(21851,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21852,plain,
% 218.45/141.04 (v113(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21851, 597])).
% 218.45/141.04 tff(21853,plain,
% 218.45/141.04 ((v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)) | (~v84(constB13, 1))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21854,plain,
% 218.45/141.04 (v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21853, 21841])).
% 218.45/141.04 tff(21855,plain,
% 218.45/141.04 ((~(v113(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))))) | (~v113(constB13)) | (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21856,plain,
% 218.45/141.04 ((~(v113(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))))) | (~v113(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21855, 21854])).
% 218.45/141.04 tff(21857,plain,
% 218.45/141.04 (~v113(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21856, 21852])).
% 218.45/141.04 tff(21858,plain,
% 218.45/141.04 ((~(v113(constB13) | v114(constB13))) | v113(constB13) | v114(constB13)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21859,plain,
% 218.45/141.04 (~(v113(constB13) | v114(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21858, 21857, 21850])).
% 218.45/141.04 tff(21860,plain,
% 218.45/141.04 ((~(v112(constB13) <=> (v113(constB13) | v114(constB13)))) | (~v112(constB13)) | (v113(constB13) | v114(constB13))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21861,plain,
% 218.45/141.04 ((~(v112(constB13) <=> (v113(constB13) | v114(constB13)))) | (~v112(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21860, 21859])).
% 218.45/141.04 tff(21862,plain,
% 218.45/141.04 (~v112(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21861, 21827])).
% 218.45/141.04 tff(21863,plain,
% 218.45/141.04 ((~(v112(constB13) | v115(constB13))) | v112(constB13) | v115(constB13)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21864,plain,
% 218.45/141.04 (~(v112(constB13) | v115(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21863, 21862, 21825])).
% 218.45/141.04 tff(21865,plain,
% 218.45/141.04 ((~(v111(constB13) <=> (v112(constB13) | v115(constB13)))) | (~v111(constB13)) | (v112(constB13) | v115(constB13))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21866,plain,
% 218.45/141.04 (~v111(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21865, 21864, 21811])).
% 218.45/141.04 tff(21867,plain,
% 218.45/141.04 ((~(v111(constB13) | v116(constB13))) | v111(constB13) | v116(constB13)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21868,plain,
% 218.45/141.04 (~(v111(constB13) | v116(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21867, 21866, 21809])).
% 218.45/141.04 tff(21869,plain,
% 218.45/141.04 ((~(v110(constB13) <=> (v111(constB13) | v116(constB13)))) | (~v110(constB13)) | (v111(constB13) | v116(constB13))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21870,plain,
% 218.45/141.04 (~v110(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21869, 21868, 21782])).
% 218.45/141.04 tff(21871,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)))))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21872,plain,
% 218.45/141.04 ((v117(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | (~v84(constB13, 2))))) <=> (v117(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21873,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | (~v84(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)))))),
% 218.45/141.04 inference(monotonicity,[status(thm)],[21872])).
% 218.45/141.04 tff(21874,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | (~v84(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)))))),
% 218.45/141.04 inference(transitivity,[status(thm)],[21873, 21871])).
% 218.45/141.04 tff(21875,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | (~v84(constB13, 2)))))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21876,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))))),
% 218.45/141.04 inference(modus_ponens,[status(thm)],[21875, 21874])).
% 218.45/141.04 tff(21877,plain,
% 218.45/141.04 (v117(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21876, 656])).
% 218.45/141.04 tff(21878,plain,
% 218.45/141.04 (((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)) | (~v84(constB13, 1))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21879,plain,
% 218.45/141.04 ((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21878, 21841])).
% 218.45/141.04 tff(21880,plain,
% 218.45/141.04 ((~(v117(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))))) | (~v117(constB13)) | (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21881,plain,
% 218.45/141.04 ((~(v117(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))))) | (~v117(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21880, 21879])).
% 218.45/141.04 tff(21882,plain,
% 218.45/141.04 (~v117(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21881, 21877])).
% 218.45/141.04 tff(21883,plain,
% 218.45/141.04 ((~(v110(constB13) | v117(constB13))) | v110(constB13) | v117(constB13)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21884,plain,
% 218.45/141.04 ((~(v110(constB13) | v117(constB13))) | v110(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21883, 21882])).
% 218.45/141.04 tff(21885,plain,
% 218.45/141.04 (~(v110(constB13) | v117(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21884, 21870])).
% 218.45/141.04 tff(21886,plain,
% 218.45/141.04 ((~(v109(constB13) <=> (v110(constB13) | v117(constB13)))) | (~v109(constB13)) | (v110(constB13) | v117(constB13))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21887,plain,
% 218.45/141.04 (~v109(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21886, 21885, 21780])).
% 218.45/141.04 tff(21888,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))))))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21889,plain,
% 218.45/141.04 ((v118(constB13) <=> (~(v84(constB13, 1) | (~v84(constB13, 0)) | (~v84(constB13, 2))))) <=> (v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21890,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB13) <=> (~(v84(constB13, 1) | (~v84(constB13, 0)) | (~v84(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))))))),
% 218.45/141.04 inference(monotonicity,[status(thm)],[21889])).
% 218.45/141.04 tff(21891,plain,
% 218.45/141.04 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB13) <=> (~(v84(constB13, 1) | (~v84(constB13, 0)) | (~v84(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))))))),
% 218.45/141.04 inference(transitivity,[status(thm)],[21890, 21888])).
% 218.45/141.04 tff(21892,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB13) <=> (~(v84(constB13, 1) | (~v84(constB13, 0)) | (~v84(constB13, 2)))))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21893,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))))),
% 218.45/141.04 inference(modus_ponens,[status(thm)],[21892, 21891])).
% 218.45/141.04 tff(21894,plain,
% 218.45/141.04 (v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21893, 394])).
% 218.45/141.04 tff(21895,plain,
% 218.45/141.04 (((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))) | (~v84(constB13, 1))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21896,plain,
% 218.45/141.04 ((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21895, 21841])).
% 218.45/141.04 tff(21897,plain,
% 218.45/141.04 ((~(v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))))) | (~v118(constB13)) | (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21898,plain,
% 218.45/141.04 ((~(v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))))) | (~v118(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21897, 21896])).
% 218.45/141.04 tff(21899,plain,
% 218.45/141.04 (~v118(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21898, 21894])).
% 218.45/141.04 tff(21900,plain,
% 218.45/141.04 ((~(v109(constB13) | v118(constB13))) | v109(constB13) | v118(constB13)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21901,plain,
% 218.45/141.04 ((~(v109(constB13) | v118(constB13))) | v109(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21900, 21899])).
% 218.45/141.04 tff(21902,plain,
% 218.45/141.04 (~(v109(constB13) | v118(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21901, 21887])).
% 218.45/141.04 tff(21903,plain,
% 218.45/141.04 ((~(v108(constB13) <=> (v109(constB13) | v118(constB13)))) | (~v108(constB13)) | (v109(constB13) | v118(constB13))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21904,plain,
% 218.45/141.04 (~v108(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21903, 21902, 21778])).
% 218.45/141.04 tff(21905,plain,
% 218.45/141.04 ((~(v108(constB13) | v119(constB13))) | v108(constB13) | v119(constB13)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21906,plain,
% 218.45/141.04 (~(v108(constB13) | v119(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21905, 21904, 21776])).
% 218.45/141.04 tff(21907,plain,
% 218.45/141.04 ((~(v107(constB13) <=> (v108(constB13) | v119(constB13)))) | (~v107(constB13)) | (v108(constB13) | v119(constB13))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21908,plain,
% 218.45/141.04 (~v107(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21907, 21906, 21701])).
% 218.45/141.04 tff(21909,plain,
% 218.45/141.04 (((~v107(constB13)) | (~v120(constB13))) | v107(constB13)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21910,plain,
% 218.45/141.04 ((~v107(constB13)) | (~v120(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21909, 21908])).
% 218.45/141.04 tff(21911,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB13) <=> (~((~v107(constB13)) | (~v120(constB13)))))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21912,plain,
% 218.45/141.04 (v106(constB13) <=> (~((~v107(constB13)) | (~v120(constB13))))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21911, 132])).
% 218.45/141.04 tff(21913,plain,
% 218.45/141.04 ((~(v106(constB13) <=> (~((~v107(constB13)) | (~v120(constB13)))))) | (~v106(constB13)) | (~((~v107(constB13)) | (~v120(constB13))))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21914,plain,
% 218.45/141.04 ((~v106(constB13)) | (~((~v107(constB13)) | (~v120(constB13))))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21913, 21912])).
% 218.45/141.04 tff(21915,plain,
% 218.45/141.04 (~v106(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21914, 21910])).
% 218.45/141.04 tff(21916,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB13) <=> v26(constB13))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21917,plain,
% 218.45/141.04 (v105(constB13) <=> v26(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21916, 156])).
% 218.45/141.04 tff(21918,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21919,plain,
% 218.45/141.04 (~v26(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21918, 168])).
% 218.45/141.04 tff(21920,plain,
% 218.45/141.04 ((~(v105(constB13) <=> v26(constB13))) | (~v105(constB13)) | v26(constB13)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21921,plain,
% 218.45/141.04 ((~(v105(constB13) <=> v26(constB13))) | (~v105(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21920, 21919])).
% 218.45/141.04 tff(21922,plain,
% 218.45/141.04 (~v105(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21921, 21917])).
% 218.45/141.04 tff(21923,plain,
% 218.45/141.04 ((~(v105(constB13) | v106(constB13))) | v105(constB13) | v106(constB13)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21924,plain,
% 218.45/141.04 ((~(v105(constB13) | v106(constB13))) | v106(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21923, 21922])).
% 218.45/141.04 tff(21925,plain,
% 218.45/141.04 (~(v105(constB13) | v106(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21924, 21915])).
% 218.45/141.04 tff(21926,plain,
% 218.45/141.04 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB13) <=> (v105(constB13) | v106(constB13)))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21927,plain,
% 218.45/141.04 (v102(constB13) <=> (v105(constB13) | v106(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21926, 115])).
% 218.45/141.04 tff(21928,plain,
% 218.45/141.04 ((~(v102(constB13) <=> (v105(constB13) | v106(constB13)))) | (~v102(constB13)) | (v105(constB13) | v106(constB13))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21929,plain,
% 218.45/141.04 ((~v102(constB13)) | (v105(constB13) | v106(constB13))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21928, 21927])).
% 218.45/141.04 tff(21930,plain,
% 218.45/141.04 (~v102(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21929, 21925])).
% 218.45/141.04 tff(21931,plain,
% 218.45/141.04 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21932,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13')).
% 218.45/141.04 tff(21933,plain,
% 218.45/141.04 (nextState(constB13, constB14)),
% 218.45/141.04 inference(modus_ponens,[status(thm)],[21932, 21931])).
% 218.45/141.04 tff(21934,plain,
% 218.45/141.04 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13)))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21935,plain,
% 218.45/141.04 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13)))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21936,plain,
% 218.45/141.04 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13))),
% 218.45/141.04 inference(modus_ponens,[status(thm)],[21935, 21934])).
% 218.45/141.04 tff(21937,plain,
% 218.45/141.04 (v104(constB14) <=> v102(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21936, 21933, 101])).
% 218.45/141.04 tff(21938,plain,
% 218.45/141.04 ((~(v104(constB14) <=> v102(constB13))) | (~v104(constB14)) | v102(constB13)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21939,plain,
% 218.45/141.04 ((~v104(constB14)) | v102(constB13)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21938, 21937])).
% 218.45/141.04 tff(21940,plain,
% 218.45/141.04 (~v104(constB14)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21939, 21930])).
% 218.45/141.04 tff(21941,plain,
% 218.45/141.04 (((~v95(constB14)) | (~v104(constB14))) | v104(constB14)),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21942,plain,
% 218.45/141.04 ((~v95(constB14)) | (~v104(constB14))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21941, 21940])).
% 218.45/141.04 tff(21943,plain,
% 218.45/141.04 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14))))))),
% 218.45/141.04 inference(rewrite,[status(thm)],[])).
% 218.45/141.04 tff(21944,plain,
% 218.45/141.04 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14))))))),
% 218.45/141.04 inference(quant_inst,[status(thm)],[])).
% 218.45/141.04 tff(21945,plain,
% 218.45/141.04 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14)))))),
% 218.45/141.04 inference(modus_ponens,[status(thm)],[21944, 21943])).
% 218.45/141.04 tff(21946,plain,
% 218.45/141.04 (v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14))))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21945, 21933, 14])).
% 218.45/141.04 tff(21947,plain,
% 218.45/141.04 ((~(v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14)))))) | (~v94(constB14)) | (~((~v95(constB14)) | (~v104(constB14))))),
% 218.45/141.04 inference(tautology,[status(thm)],[])).
% 218.45/141.04 tff(21948,plain,
% 218.45/141.04 ((~v94(constB14)) | (~((~v95(constB14)) | (~v104(constB14))))),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21947, 21946])).
% 218.45/141.04 tff(21949,plain,
% 218.45/141.04 (~v94(constB14)),
% 218.45/141.04 inference(unit_resolution,[status(thm)],[21948, 21942])).
% 218.45/141.04 tff(21950,plain,
% 218.45/141.04 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB14) | (~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB14) | (~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B))))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(21951,plain,
% 218.45/141.05 ((v94(constB14) | (~nextState(constB13, constB14)) | ![B: $int] : ((v84(constB14, B) <=> v84(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB14) | (~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B))))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(21952,plain,
% 218.45/141.05 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB14) | (~nextState(constB13, constB14)) | ![B: $int] : ((v84(constB14, B) <=> v84(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB14) | (~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[21951])).
% 218.45/141.05 tff(21953,plain,
% 218.45/141.05 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB14) | (~nextState(constB13, constB14)) | ![B: $int] : ((v84(constB14, B) <=> v84(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB14) | (~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B))))),
% 218.45/141.05 inference(transitivity,[status(thm)],[21952, 21950])).
% 218.45/141.05 tff(21954,plain,
% 218.45/141.05 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB14) | (~nextState(constB13, constB14)) | ![B: $int] : ((v84(constB14, B) <=> v84(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(21955,plain,
% 218.45/141.05 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB14) | (~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))),
% 218.45/141.05 inference(modus_ponens,[status(thm)],[21954, 21953])).
% 218.45/141.05 tff(21956,plain,
% 218.45/141.05 (v94(constB14) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21955, 21933, 235])).
% 218.45/141.05 tff(21957,plain,
% 218.45/141.05 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21956, 21949])).
% 218.45/141.05 tff(21958,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 0) <=> v84(constB13, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 0) <=> v84(constB13, 0)))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(21959,plain,
% 218.45/141.05 (($false | $false | (v84(constB14, 0) <=> v84(constB13, 0))) <=> (v84(constB14, 0) <=> v84(constB13, 0))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(21960,plain,
% 218.45/141.05 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB14, 0) <=> v84(constB13, 0))) <=> ($false | $false | (v84(constB14, 0) <=> v84(constB13, 0)))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.05 tff(21961,plain,
% 218.45/141.05 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB14, 0) <=> v84(constB13, 0))) <=> (v84(constB14, 0) <=> v84(constB13, 0))),
% 218.45/141.05 inference(transitivity,[status(thm)],[21960, 21959])).
% 218.45/141.05 tff(21962,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB14, 0) <=> v84(constB13, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 0) <=> v84(constB13, 0)))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[21961])).
% 218.45/141.05 tff(21963,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB14, 0) <=> v84(constB13, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 0) <=> v84(constB13, 0)))),
% 218.45/141.05 inference(transitivity,[status(thm)],[21962, 21958])).
% 218.45/141.05 tff(21964,plain,
% 218.45/141.05 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB14, 0) <=> v84(constB13, 0)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(21965,plain,
% 218.45/141.05 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 0) <=> v84(constB13, 0))),
% 218.45/141.05 inference(modus_ponens,[status(thm)],[21964, 21963])).
% 218.45/141.05 tff(21966,plain,
% 218.45/141.05 (v84(constB14, 0) <=> v84(constB13, 0)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21965, 21957])).
% 218.45/141.05 tff(21967,plain,
% 218.45/141.05 ((~(v84(constB14, 0) <=> v84(constB13, 0))) | v84(constB14, 0) | (~v84(constB13, 0))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(21968,plain,
% 218.45/141.05 ((~(v84(constB14, 0) <=> v84(constB13, 0))) | v84(constB14, 0)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21967, 21771])).
% 218.45/141.05 tff(21969,plain,
% 218.45/141.05 (v84(constB14, 0)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21968, 21966])).
% 218.45/141.05 tff(21970,plain,
% 218.45/141.05 ((~(v84(constB15, 0) <=> v84(constB14, 0))) | v84(constB15, 0) | (~v84(constB14, 0))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(21971,plain,
% 218.45/141.05 ((~(v84(constB15, 0) <=> v84(constB14, 0))) | v84(constB15, 0)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21970, 21969])).
% 218.45/141.05 tff(21972,plain,
% 218.45/141.05 (v84(constB15, 0)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21971, 21699])).
% 218.45/141.05 tff(21973,plain,
% 218.45/141.05 ((v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2))) | (~v84(constB15, 0))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(21974,plain,
% 218.45/141.05 (v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21973, 21972])).
% 218.45/141.05 tff(21975,plain,
% 218.45/141.05 ((~(v119(constB15) <=> (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))))) | (~v119(constB15)) | (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2))))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(21976,plain,
% 218.45/141.05 ((~(v119(constB15) <=> (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))))) | (~v119(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21975, 21974])).
% 218.45/141.05 tff(21977,plain,
% 218.45/141.05 (~v119(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21976, 21656])).
% 218.45/141.05 tff(21978,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB15) <=> (v109(constB15) | v118(constB15)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(21979,plain,
% 218.45/141.05 (v108(constB15) <=> (v109(constB15) | v118(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21978, 428])).
% 218.45/141.05 tff(21980,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB15) <=> (v110(constB15) | v117(constB15)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(21981,plain,
% 218.45/141.05 (v109(constB15) <=> (v110(constB15) | v117(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21980, 456])).
% 218.45/141.05 tff(21982,plain,
% 218.45/141.05 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1))))))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(21983,plain,
% 218.45/141.05 ((v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 1)) | (~v84(constB15, 0))))) <=> (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(21984,plain,
% 218.45/141.05 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 1)) | (~v84(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1))))))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[21983])).
% 218.45/141.05 tff(21985,plain,
% 218.45/141.05 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 1)) | (~v84(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1))))))),
% 218.45/141.05 inference(transitivity,[status(thm)],[21984, 21982])).
% 218.45/141.05 tff(21986,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 1)) | (~v84(constB15, 0)))))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(21987,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))))),
% 218.45/141.05 inference(modus_ponens,[status(thm)],[21986, 21985])).
% 218.45/141.05 tff(21988,plain,
% 218.45/141.05 (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1))))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21987, 521])).
% 218.45/141.05 tff(21989,assumption,(v84(constB13, 2)), introduced(assumption)).
% 218.45/141.05 tff(21990,assumption,(~v84(constB14, 2)), introduced(assumption)).
% 218.45/141.05 tff(21991,plain,
% 218.45/141.05 ((~(v84(constB14, 2) <=> v84(constB13, 2))) | v84(constB14, 2) | (~v84(constB13, 2))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(21992,plain,
% 218.45/141.05 (~(v84(constB14, 2) <=> v84(constB13, 2))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[21991, 21990, 21989])).
% 218.45/141.05 tff(21993,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))), introduced(assumption)).
% 218.45/141.05 tff(21994,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 2) <=> v84(constB13, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 2) <=> v84(constB13, 2)))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(21995,plain,
% 218.45/141.05 (($false | $false | (v84(constB14, 2) <=> v84(constB13, 2))) <=> (v84(constB14, 2) <=> v84(constB13, 2))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(21996,plain,
% 218.45/141.05 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB14, 2) <=> v84(constB13, 2))) <=> ($false | $false | (v84(constB14, 2) <=> v84(constB13, 2)))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[534, 533])).
% 218.45/141.05 tff(21997,plain,
% 218.45/141.05 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB14, 2) <=> v84(constB13, 2))) <=> (v84(constB14, 2) <=> v84(constB13, 2))),
% 218.45/141.05 inference(transitivity,[status(thm)],[21996, 21995])).
% 218.45/141.05 tff(21998,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB14, 2) <=> v84(constB13, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 2) <=> v84(constB13, 2)))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[21997])).
% 218.45/141.05 tff(21999,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB14, 2) <=> v84(constB13, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 2) <=> v84(constB13, 2)))),
% 218.45/141.05 inference(transitivity,[status(thm)],[21998, 21994])).
% 218.45/141.05 tff(22000,plain,
% 218.45/141.05 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB14, 2) <=> v84(constB13, 2)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22001,plain,
% 218.45/141.05 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 2) <=> v84(constB13, 2))),
% 218.45/141.05 inference(modus_ponens,[status(thm)],[22000, 21999])).
% 218.45/141.05 tff(22002,plain,
% 218.45/141.05 ($false),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22001, 21993, 21992])).
% 218.45/141.05 tff(22003,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | v84(constB14, 2) | (~v84(constB13, 2))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.05 tff(22004,plain,
% 218.45/141.05 (v84(constB14, 2)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22003, 21957, 21804])).
% 218.45/141.05 tff(22005,assumption,(~(v84(constB15, 2) <=> v84(constB14, 2))), introduced(assumption)).
% 218.45/141.05 tff(22006,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 2) <=> v84(constB14, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 2) <=> v84(constB14, 2)))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22007,plain,
% 218.45/141.05 (($false | $false | (v84(constB15, 2) <=> v84(constB14, 2))) <=> (v84(constB15, 2) <=> v84(constB14, 2))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22008,plain,
% 218.45/141.05 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB15, 2) <=> v84(constB14, 2))) <=> ($false | $false | (v84(constB15, 2) <=> v84(constB14, 2)))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[534, 533])).
% 218.45/141.05 tff(22009,plain,
% 218.45/141.05 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB15, 2) <=> v84(constB14, 2))) <=> (v84(constB15, 2) <=> v84(constB14, 2))),
% 218.45/141.05 inference(transitivity,[status(thm)],[22008, 22007])).
% 218.45/141.05 tff(22010,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB15, 2) <=> v84(constB14, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 2) <=> v84(constB14, 2)))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[22009])).
% 218.45/141.05 tff(22011,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB15, 2) <=> v84(constB14, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 2) <=> v84(constB14, 2)))),
% 218.45/141.05 inference(transitivity,[status(thm)],[22010, 22006])).
% 218.45/141.05 tff(22012,plain,
% 218.45/141.05 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB15, 2) <=> v84(constB14, 2)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22013,plain,
% 218.45/141.05 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 2) <=> v84(constB14, 2))),
% 218.45/141.05 inference(modus_ponens,[status(thm)],[22012, 22011])).
% 218.45/141.05 tff(22014,plain,
% 218.45/141.05 ($false),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22013, 21690, 22005])).
% 218.45/141.05 tff(22015,plain,(v84(constB15, 2) <=> v84(constB14, 2)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.05 tff(22016,plain,
% 218.45/141.05 ((~(v84(constB15, 2) <=> v84(constB14, 2))) | v84(constB15, 2) | (~v84(constB14, 2))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22017,plain,
% 218.45/141.05 (v84(constB15, 2) | (~v84(constB14, 2))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22016, 22015])).
% 218.45/141.05 tff(22018,plain,
% 218.45/141.05 (v84(constB15, 2)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22017, 22004])).
% 218.45/141.05 tff(22019,plain,
% 218.45/141.05 ((v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1))) | (~v84(constB15, 2))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22020,plain,
% 218.45/141.05 (v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22019, 22018])).
% 218.45/141.05 tff(22021,plain,
% 218.45/141.05 ((~(v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))))) | (~v116(constB15)) | (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1))))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22022,plain,
% 218.45/141.05 ((~(v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))))) | (~v116(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22021, 22020])).
% 218.45/141.05 tff(22023,plain,
% 218.45/141.05 (~v116(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22022, 21988])).
% 218.45/141.05 tff(22024,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB15) <=> (v112(constB15) | v115(constB15)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22025,plain,
% 218.45/141.05 (v111(constB15) <=> (v112(constB15) | v115(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22024, 274])).
% 218.45/141.05 tff(22026,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB15) <=> (v113(constB15) | v114(constB15)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22027,plain,
% 218.45/141.05 (v112(constB15) <=> (v113(constB15) | v114(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22026, 283])).
% 218.45/141.05 tff(22028,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22029,plain,
% 218.45/141.05 (v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22028, 597])).
% 218.45/141.05 tff(22030,plain,
% 218.45/141.05 ((v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)) | (~v84(constB15, 2))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22031,plain,
% 218.45/141.05 (v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22030, 22018])).
% 218.45/141.05 tff(22032,plain,
% 218.45/141.05 ((~(v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))))) | (~v113(constB15)) | (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22033,plain,
% 218.45/141.05 ((~(v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))))) | (~v113(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22032, 22031])).
% 218.45/141.05 tff(22034,plain,
% 218.45/141.05 (~v113(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22033, 22029])).
% 218.45/141.05 tff(22035,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22036,plain,
% 218.45/141.05 (v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22035, 298])).
% 218.45/141.05 tff(22037,plain,
% 218.45/141.05 ((v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))) | (~v84(constB15, 2))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22038,plain,
% 218.45/141.05 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22037, 22018])).
% 218.45/141.05 tff(22039,plain,
% 218.45/141.05 ((~(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))) | (~v114(constB15)) | (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22040,plain,
% 218.45/141.05 ((~(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))) | (~v114(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22039, 22038])).
% 218.45/141.05 tff(22041,plain,
% 218.45/141.05 (~v114(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22040, 22036])).
% 218.45/141.05 tff(22042,plain,
% 218.45/141.05 ((~(v113(constB15) | v114(constB15))) | v113(constB15) | v114(constB15)),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22043,plain,
% 218.45/141.05 (~(v113(constB15) | v114(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22042, 22041, 22034])).
% 218.45/141.05 tff(22044,plain,
% 218.45/141.05 ((~(v112(constB15) <=> (v113(constB15) | v114(constB15)))) | (~v112(constB15)) | (v113(constB15) | v114(constB15))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22045,plain,
% 218.45/141.05 ((~(v112(constB15) <=> (v113(constB15) | v114(constB15)))) | (~v112(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22044, 22043])).
% 218.45/141.05 tff(22046,plain,
% 218.45/141.05 (~v112(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22045, 22027])).
% 218.45/141.05 tff(22047,plain,
% 218.45/141.05 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))))))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22048,plain,
% 218.45/141.05 ((v115(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 2) | (~v84(constB15, 1))))) <=> (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22049,plain,
% 218.45/141.05 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 2) | (~v84(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))))))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[22048])).
% 218.45/141.05 tff(22050,plain,
% 218.45/141.05 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 2) | (~v84(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))))))),
% 218.45/141.05 inference(transitivity,[status(thm)],[22049, 22047])).
% 218.45/141.05 tff(22051,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 2) | (~v84(constB15, 1)))))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22052,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))),
% 218.45/141.05 inference(modus_ponens,[status(thm)],[22051, 22050])).
% 218.45/141.05 tff(22053,plain,
% 218.45/141.05 (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22052, 622])).
% 218.45/141.05 tff(22054,plain,
% 218.45/141.05 ((v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))) | (~v84(constB15, 2))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22055,plain,
% 218.45/141.05 (v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22054, 22018])).
% 218.45/141.05 tff(22056,plain,
% 218.45/141.05 ((~(v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))) | (~v115(constB15)) | (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22057,plain,
% 218.45/141.05 ((~(v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))) | (~v115(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22056, 22055])).
% 218.45/141.05 tff(22058,plain,
% 218.45/141.05 (~v115(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22057, 22053])).
% 218.45/141.05 tff(22059,plain,
% 218.45/141.05 ((~(v112(constB15) | v115(constB15))) | v112(constB15) | v115(constB15)),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22060,plain,
% 218.45/141.05 ((~(v112(constB15) | v115(constB15))) | v112(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22059, 22058])).
% 218.45/141.05 tff(22061,plain,
% 218.45/141.05 (~(v112(constB15) | v115(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22060, 22046])).
% 218.45/141.05 tff(22062,plain,
% 218.45/141.05 ((~(v111(constB15) <=> (v112(constB15) | v115(constB15)))) | (~v111(constB15)) | (v112(constB15) | v115(constB15))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22063,plain,
% 218.45/141.05 (~v111(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22062, 22061, 22025])).
% 218.45/141.05 tff(22064,plain,
% 218.45/141.05 ((~(v111(constB15) | v116(constB15))) | v111(constB15) | v116(constB15)),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22065,plain,
% 218.45/141.05 (~(v111(constB15) | v116(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22064, 22063, 22023])).
% 218.45/141.05 tff(22066,assumption,(~(v110(constB15) <=> (v111(constB15) | v116(constB15)))), introduced(assumption)).
% 218.45/141.05 tff(22067,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB15) <=> (v111(constB15) | v116(constB15)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22068,plain,
% 218.45/141.05 ($false),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22067, 265, 22066])).
% 218.45/141.05 tff(22069,plain,(v110(constB15) <=> (v111(constB15) | v116(constB15))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.05 tff(22070,plain,
% 218.45/141.05 ((~(v110(constB15) <=> (v111(constB15) | v116(constB15)))) | (~v110(constB15)) | (v111(constB15) | v116(constB15))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22071,plain,
% 218.45/141.05 ((~v110(constB15)) | (v111(constB15) | v116(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22070, 22069])).
% 218.45/141.05 tff(22072,plain,
% 218.45/141.05 (~v110(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22071, 22065])).
% 218.45/141.05 tff(22073,plain,
% 218.45/141.05 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22074,plain,
% 218.45/141.05 ((v117(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | (~v84(constB15, 2))))) <=> (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22075,plain,
% 218.45/141.05 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | (~v84(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[22074])).
% 218.45/141.05 tff(22076,plain,
% 218.45/141.05 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | (~v84(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))))),
% 218.45/141.05 inference(transitivity,[status(thm)],[22075, 22073])).
% 218.45/141.05 tff(22077,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | (~v84(constB15, 2)))))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22078,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))),
% 218.45/141.05 inference(modus_ponens,[status(thm)],[22077, 22076])).
% 218.45/141.05 tff(22079,plain,
% 218.45/141.05 (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22078, 656])).
% 218.45/141.05 tff(22080,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 1) <=> v84(constB14, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 1) <=> v84(constB14, 1)))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22081,plain,
% 218.45/141.05 (($false | $false | (v84(constB15, 1) <=> v84(constB14, 1))) <=> (v84(constB15, 1) <=> v84(constB14, 1))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22082,plain,
% 218.45/141.05 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB15, 1) <=> v84(constB14, 1))) <=> ($false | $false | (v84(constB15, 1) <=> v84(constB14, 1)))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.05 tff(22083,plain,
% 218.45/141.05 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB15, 1) <=> v84(constB14, 1))) <=> (v84(constB15, 1) <=> v84(constB14, 1))),
% 218.45/141.05 inference(transitivity,[status(thm)],[22082, 22081])).
% 218.45/141.05 tff(22084,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB15, 1) <=> v84(constB14, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 1) <=> v84(constB14, 1)))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[22083])).
% 218.45/141.05 tff(22085,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB15, 1) <=> v84(constB14, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 1) <=> v84(constB14, 1)))),
% 218.45/141.05 inference(transitivity,[status(thm)],[22084, 22080])).
% 218.45/141.05 tff(22086,plain,
% 218.45/141.05 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB15, 1) <=> v84(constB14, 1)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22087,plain,
% 218.45/141.05 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB15, B) <=> v84(constB14, B)))) | (v84(constB15, 1) <=> v84(constB14, 1))),
% 218.45/141.05 inference(modus_ponens,[status(thm)],[22086, 22085])).
% 218.45/141.05 tff(22088,plain,
% 218.45/141.05 (v84(constB15, 1) <=> v84(constB14, 1)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22087, 21690])).
% 218.45/141.05 tff(22089,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 1) <=> v84(constB13, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 1) <=> v84(constB13, 1)))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22090,plain,
% 218.45/141.05 (($false | $false | (v84(constB14, 1) <=> v84(constB13, 1))) <=> (v84(constB14, 1) <=> v84(constB13, 1))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22091,plain,
% 218.45/141.05 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB14, 1) <=> v84(constB13, 1))) <=> ($false | $false | (v84(constB14, 1) <=> v84(constB13, 1)))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.05 tff(22092,plain,
% 218.45/141.05 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB14, 1) <=> v84(constB13, 1))) <=> (v84(constB14, 1) <=> v84(constB13, 1))),
% 218.45/141.05 inference(transitivity,[status(thm)],[22091, 22090])).
% 218.45/141.05 tff(22093,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB14, 1) <=> v84(constB13, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 1) <=> v84(constB13, 1)))),
% 218.45/141.05 inference(monotonicity,[status(thm)],[22092])).
% 218.45/141.05 tff(22094,plain,
% 218.45/141.05 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB14, 1) <=> v84(constB13, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 1) <=> v84(constB13, 1)))),
% 218.45/141.05 inference(transitivity,[status(thm)],[22093, 22089])).
% 218.45/141.05 tff(22095,plain,
% 218.45/141.05 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB14, 1) <=> v84(constB13, 1)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22096,plain,
% 218.45/141.05 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))) | (v84(constB14, 1) <=> v84(constB13, 1))),
% 218.45/141.05 inference(modus_ponens,[status(thm)],[22095, 22094])).
% 218.45/141.05 tff(22097,plain,
% 218.45/141.05 (v84(constB14, 1) <=> v84(constB13, 1)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22096, 21957])).
% 218.45/141.05 tff(22098,plain,
% 218.45/141.05 ((~(v84(constB14, 1) <=> v84(constB13, 1))) | v84(constB14, 1) | (~v84(constB13, 1))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22099,plain,
% 218.45/141.05 ((~(v84(constB14, 1) <=> v84(constB13, 1))) | v84(constB14, 1)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22098, 21841])).
% 218.45/141.05 tff(22100,plain,
% 218.45/141.05 (v84(constB14, 1)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22099, 22097])).
% 218.45/141.05 tff(22101,plain,
% 218.45/141.05 ((~(v84(constB15, 1) <=> v84(constB14, 1))) | v84(constB15, 1) | (~v84(constB14, 1))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22102,plain,
% 218.45/141.05 ((~(v84(constB15, 1) <=> v84(constB14, 1))) | v84(constB15, 1)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22101, 22100])).
% 218.45/141.05 tff(22103,plain,
% 218.45/141.05 (v84(constB15, 1)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22102, 22088])).
% 218.45/141.05 tff(22104,plain,
% 218.45/141.05 ((v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))) | (~v84(constB15, 1))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22105,plain,
% 218.45/141.05 (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22104, 22103])).
% 218.45/141.05 tff(22106,plain,
% 218.45/141.05 ((~(v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))) | (~v117(constB15)) | (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22107,plain,
% 218.45/141.05 ((~(v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))) | (~v117(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22106, 22105])).
% 218.45/141.05 tff(22108,plain,
% 218.45/141.05 (~v117(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22107, 22079])).
% 218.45/141.05 tff(22109,plain,
% 218.45/141.05 ((~(v110(constB15) | v117(constB15))) | v110(constB15) | v117(constB15)),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22110,plain,
% 218.45/141.05 ((~(v110(constB15) | v117(constB15))) | v110(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22109, 22108])).
% 218.45/141.05 tff(22111,plain,
% 218.45/141.05 (~(v110(constB15) | v117(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22110, 22072])).
% 218.45/141.05 tff(22112,plain,
% 218.45/141.05 ((~(v109(constB15) <=> (v110(constB15) | v117(constB15)))) | (~v109(constB15)) | (v110(constB15) | v117(constB15))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22113,plain,
% 218.45/141.05 (~v109(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22112, 22111, 21981])).
% 218.45/141.05 tff(22114,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22115,plain,
% 218.45/141.05 (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22114, 394])).
% 218.45/141.05 tff(22116,plain,
% 218.45/141.05 ((v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))) | (~v84(constB15, 1))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22117,plain,
% 218.45/141.05 (v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22116, 22103])).
% 218.45/141.05 tff(22118,plain,
% 218.45/141.05 ((~(v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))))) | (~v118(constB15)) | (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22119,plain,
% 218.45/141.05 ((~(v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))))) | (~v118(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22118, 22117])).
% 218.45/141.05 tff(22120,plain,
% 218.45/141.05 (~v118(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22119, 22115])).
% 218.45/141.05 tff(22121,plain,
% 218.45/141.05 ((~(v109(constB15) | v118(constB15))) | v109(constB15) | v118(constB15)),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22122,plain,
% 218.45/141.05 ((~(v109(constB15) | v118(constB15))) | v109(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22121, 22120])).
% 218.45/141.05 tff(22123,plain,
% 218.45/141.05 (~(v109(constB15) | v118(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22122, 22113])).
% 218.45/141.05 tff(22124,plain,
% 218.45/141.05 ((~(v108(constB15) <=> (v109(constB15) | v118(constB15)))) | (~v108(constB15)) | (v109(constB15) | v118(constB15))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22125,plain,
% 218.45/141.05 (~v108(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22124, 22123, 21979])).
% 218.45/141.05 tff(22126,plain,
% 218.45/141.05 ((~(v108(constB15) | v119(constB15))) | v108(constB15) | v119(constB15)),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22127,plain,
% 218.45/141.05 (~(v108(constB15) | v119(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22126, 22125, 21977])).
% 218.45/141.05 tff(22128,plain,
% 218.45/141.05 ((~(v107(constB15) <=> (v108(constB15) | v119(constB15)))) | (~v107(constB15)) | (v108(constB15) | v119(constB15))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22129,plain,
% 218.45/141.05 (~v107(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22128, 22127, 21654])).
% 218.45/141.05 tff(22130,plain,
% 218.45/141.05 (((~v107(constB15)) | (~v120(constB15))) | v107(constB15)),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22131,plain,
% 218.45/141.05 ((~v107(constB15)) | (~v120(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22130, 22129])).
% 218.45/141.05 tff(22132,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB15) <=> (~((~v107(constB15)) | (~v120(constB15)))))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22133,plain,
% 218.45/141.05 (v106(constB15) <=> (~((~v107(constB15)) | (~v120(constB15))))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22132, 132])).
% 218.45/141.05 tff(22134,plain,
% 218.45/141.05 ((~(v106(constB15) <=> (~((~v107(constB15)) | (~v120(constB15)))))) | (~v106(constB15)) | (~((~v107(constB15)) | (~v120(constB15))))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22135,plain,
% 218.45/141.05 ((~v106(constB15)) | (~((~v107(constB15)) | (~v120(constB15))))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22134, 22133])).
% 218.45/141.05 tff(22136,plain,
% 218.45/141.05 (~v106(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22135, 22131])).
% 218.45/141.05 tff(22137,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB15) <=> v26(constB15))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22138,plain,
% 218.45/141.05 (v105(constB15) <=> v26(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22137, 156])).
% 218.45/141.05 tff(22139,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22140,plain,
% 218.45/141.05 (~v26(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22139, 168])).
% 218.45/141.05 tff(22141,plain,
% 218.45/141.05 ((~(v105(constB15) <=> v26(constB15))) | (~v105(constB15)) | v26(constB15)),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22142,plain,
% 218.45/141.05 ((~(v105(constB15) <=> v26(constB15))) | (~v105(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22141, 22140])).
% 218.45/141.05 tff(22143,plain,
% 218.45/141.05 (~v105(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22142, 22138])).
% 218.45/141.05 tff(22144,plain,
% 218.45/141.05 ((~(v105(constB15) | v106(constB15))) | v105(constB15) | v106(constB15)),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22145,plain,
% 218.45/141.05 ((~(v105(constB15) | v106(constB15))) | v106(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22144, 22143])).
% 218.45/141.05 tff(22146,plain,
% 218.45/141.05 (~(v105(constB15) | v106(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22145, 22136])).
% 218.45/141.05 tff(22147,plain,
% 218.45/141.05 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB15) <=> (v105(constB15) | v106(constB15)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22148,plain,
% 218.45/141.05 (v102(constB15) <=> (v105(constB15) | v106(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22147, 115])).
% 218.45/141.05 tff(22149,plain,
% 218.45/141.05 ((~(v102(constB15) <=> (v105(constB15) | v106(constB15)))) | (~v102(constB15)) | (v105(constB15) | v106(constB15))),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22150,plain,
% 218.45/141.05 ((~v102(constB15)) | (v105(constB15) | v106(constB15))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22149, 22148])).
% 218.45/141.05 tff(22151,plain,
% 218.45/141.05 (~v102(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22150, 22146])).
% 218.45/141.05 tff(22152,plain,
% 218.45/141.05 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22153,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15')).
% 218.45/141.05 tff(22154,plain,
% 218.45/141.05 (nextState(constB15, constB16)),
% 218.45/141.05 inference(modus_ponens,[status(thm)],[22153, 22152])).
% 218.45/141.05 tff(22155,plain,
% 218.45/141.05 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15)))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22156,plain,
% 218.45/141.05 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15)))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22157,plain,
% 218.45/141.05 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15))),
% 218.45/141.05 inference(modus_ponens,[status(thm)],[22156, 22155])).
% 218.45/141.05 tff(22158,plain,
% 218.45/141.05 (v104(constB16) <=> v102(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22157, 22154, 101])).
% 218.45/141.05 tff(22159,plain,
% 218.45/141.05 ((~(v104(constB16) <=> v102(constB15))) | (~v104(constB16)) | v102(constB15)),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22160,plain,
% 218.45/141.05 ((~v104(constB16)) | v102(constB15)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22159, 22158])).
% 218.45/141.05 tff(22161,plain,
% 218.45/141.05 (~v104(constB16)),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22160, 22151])).
% 218.45/141.05 tff(22162,plain,
% 218.45/141.05 (((~v95(constB16)) | (~v104(constB16))) | v104(constB16)),
% 218.45/141.05 inference(tautology,[status(thm)],[])).
% 218.45/141.05 tff(22163,plain,
% 218.45/141.05 ((~v95(constB16)) | (~v104(constB16))),
% 218.45/141.05 inference(unit_resolution,[status(thm)],[22162, 22161])).
% 218.45/141.05 tff(22164,plain,
% 218.45/141.05 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16))))))),
% 218.45/141.05 inference(rewrite,[status(thm)],[])).
% 218.45/141.05 tff(22165,plain,
% 218.45/141.05 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16))))))),
% 218.45/141.05 inference(quant_inst,[status(thm)],[])).
% 218.45/141.05 tff(22166,plain,
% 218.45/141.05 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16)))))),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22165, 22164])).
% 218.45/141.06 tff(22167,plain,
% 218.45/141.06 (v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16))))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22166, 22154, 14])).
% 218.45/141.06 tff(22168,plain,
% 218.45/141.06 ((~(v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16)))))) | (~v94(constB16)) | (~((~v95(constB16)) | (~v104(constB16))))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22169,plain,
% 218.45/141.06 ((~v94(constB16)) | (~((~v95(constB16)) | (~v104(constB16))))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22168, 22167])).
% 218.45/141.06 tff(22170,plain,
% 218.45/141.06 (~v94(constB16)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22169, 22163])).
% 218.45/141.06 tff(22171,plain,
% 218.45/141.06 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB16) | (~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB16) | (~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B))))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22172,plain,
% 218.45/141.06 ((v94(constB16) | (~nextState(constB15, constB16)) | ![B: $int] : ((v84(constB16, B) <=> v84(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB16) | (~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B))))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22173,plain,
% 218.45/141.06 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB16) | (~nextState(constB15, constB16)) | ![B: $int] : ((v84(constB16, B) <=> v84(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB16) | (~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[22172])).
% 218.45/141.06 tff(22174,plain,
% 218.45/141.06 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB16) | (~nextState(constB15, constB16)) | ![B: $int] : ((v84(constB16, B) <=> v84(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB16) | (~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B))))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22173, 22171])).
% 218.45/141.06 tff(22175,plain,
% 218.45/141.06 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB16) | (~nextState(constB15, constB16)) | ![B: $int] : ((v84(constB16, B) <=> v84(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.06 inference(quant_inst,[status(thm)],[])).
% 218.45/141.06 tff(22176,plain,
% 218.45/141.06 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB16) | (~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22175, 22174])).
% 218.45/141.06 tff(22177,plain,
% 218.45/141.06 (v94(constB16) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22176, 22154, 235])).
% 218.45/141.06 tff(22178,plain,
% 218.45/141.06 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22177, 22170])).
% 218.45/141.06 tff(22179,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 1) <=> v84(constB15, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 1) <=> v84(constB15, 1)))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22180,plain,
% 218.45/141.06 (($false | $false | (v84(constB16, 1) <=> v84(constB15, 1))) <=> (v84(constB16, 1) <=> v84(constB15, 1))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22181,plain,
% 218.45/141.06 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB16, 1) <=> v84(constB15, 1))) <=> ($false | $false | (v84(constB16, 1) <=> v84(constB15, 1)))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.06 tff(22182,plain,
% 218.45/141.06 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB16, 1) <=> v84(constB15, 1))) <=> (v84(constB16, 1) <=> v84(constB15, 1))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22181, 22180])).
% 218.45/141.06 tff(22183,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB16, 1) <=> v84(constB15, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 1) <=> v84(constB15, 1)))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[22182])).
% 218.45/141.06 tff(22184,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB16, 1) <=> v84(constB15, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 1) <=> v84(constB15, 1)))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22183, 22179])).
% 218.45/141.06 tff(22185,plain,
% 218.45/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB16, 1) <=> v84(constB15, 1)))),
% 218.45/141.06 inference(quant_inst,[status(thm)],[])).
% 218.45/141.06 tff(22186,plain,
% 218.45/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 1) <=> v84(constB15, 1))),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22185, 22184])).
% 218.45/141.06 tff(22187,plain,
% 218.45/141.06 (v84(constB16, 1) <=> v84(constB15, 1)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22186, 22178])).
% 218.45/141.06 tff(22188,plain,
% 218.45/141.06 ((~(v84(constB16, 1) <=> v84(constB15, 1))) | v84(constB16, 1) | (~v84(constB15, 1))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22189,plain,
% 218.45/141.06 ((~(v84(constB16, 1) <=> v84(constB15, 1))) | v84(constB16, 1)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22188, 22103])).
% 218.45/141.06 tff(22190,plain,
% 218.45/141.06 (v84(constB16, 1)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22189, 22187])).
% 218.45/141.06 tff(22191,assumption,(~(v84(constB17, 1) <=> v84(constB16, 1))), introduced(assumption)).
% 218.45/141.06 tff(22192,plain,
% 218.45/141.06 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22193,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16')).
% 218.45/141.06 tff(22194,plain,
% 218.45/141.06 (nextState(constB16, constB17)),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22193, 22192])).
% 218.45/141.06 tff(22195,plain,
% 218.45/141.06 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17))))))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22196,plain,
% 218.45/141.06 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17))))))),
% 218.45/141.06 inference(quant_inst,[status(thm)],[])).
% 218.45/141.06 tff(22197,plain,
% 218.45/141.06 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17)))))),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22196, 22195])).
% 218.45/141.06 tff(22198,plain,
% 218.45/141.06 (v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17))))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22197, 22194, 14])).
% 218.45/141.06 tff(22199,plain,
% 218.45/141.06 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22200,plain,
% 218.45/141.06 (((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17)))))) <=> ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22201,plain,
% 218.45/141.06 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[22200])).
% 218.45/141.06 tff(22202,plain,
% 218.45/141.06 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22201, 22199])).
% 218.45/141.06 tff(22203,plain,
% 218.45/141.06 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17))))))),
% 218.45/141.06 inference(quant_inst,[status(thm)],[])).
% 218.45/141.06 tff(22204,plain,
% 218.45/141.06 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22203, 22202])).
% 218.45/141.06 tff(22205,plain,
% 218.45/141.06 (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22204, 22194, 37])).
% 218.45/141.06 tff(22206,plain,
% 218.45/141.06 ((~v1(constB17)) <=> (~v1(constB17))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22207,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17')).
% 218.45/141.06 tff(22208,plain,
% 218.45/141.06 (~v1(constB17)),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22207, 22206])).
% 218.45/141.06 tff(22209,plain,
% 218.45/141.06 (((~v1(constB17)) | (~v96(constB17))) | v1(constB17)),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22210,plain,
% 218.45/141.06 ((~v1(constB17)) | (~v96(constB17))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22209, 22208])).
% 218.45/141.06 tff(22211,plain,
% 218.45/141.06 ((~(v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))) | (~v95(constB17)) | (~((~v1(constB17)) | (~v96(constB17))))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22212,plain,
% 218.45/141.06 ((~(v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))) | (~v95(constB17))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22211, 22210])).
% 218.45/141.06 tff(22213,plain,
% 218.45/141.06 (~v95(constB17)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22212, 22205])).
% 218.45/141.06 tff(22214,plain,
% 218.45/141.06 (((~v95(constB17)) | (~v104(constB17))) | v95(constB17)),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22215,plain,
% 218.45/141.06 ((~v95(constB17)) | (~v104(constB17))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22214, 22213])).
% 218.45/141.06 tff(22216,plain,
% 218.45/141.06 ((~(v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17)))))) | (~v94(constB17)) | (~((~v95(constB17)) | (~v104(constB17))))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22217,plain,
% 218.45/141.06 (~v94(constB17)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22216, 22215, 22198])).
% 218.45/141.06 tff(22218,plain,
% 218.45/141.06 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB17) | (~nextState(constB16, constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB17) | (~nextState(constB16, constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B))))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22219,plain,
% 218.45/141.06 ((v94(constB17) | (~nextState(constB16, constB17)) | ![B: $int] : ((v84(constB17, B) <=> v84(constB16, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB17) | (~nextState(constB16, constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B))))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22220,plain,
% 218.45/141.06 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB17) | (~nextState(constB16, constB17)) | ![B: $int] : ((v84(constB17, B) <=> v84(constB16, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB17) | (~nextState(constB16, constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[22219])).
% 218.45/141.06 tff(22221,plain,
% 218.45/141.06 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB17) | (~nextState(constB16, constB17)) | ![B: $int] : ((v84(constB17, B) <=> v84(constB16, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB17) | (~nextState(constB16, constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B))))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22220, 22218])).
% 218.45/141.06 tff(22222,plain,
% 218.45/141.06 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB17) | (~nextState(constB16, constB17)) | ![B: $int] : ((v84(constB17, B) <=> v84(constB16, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.45/141.06 inference(quant_inst,[status(thm)],[])).
% 218.45/141.06 tff(22223,plain,
% 218.45/141.06 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB17) | (~nextState(constB16, constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22222, 22221])).
% 218.45/141.06 tff(22224,plain,
% 218.45/141.06 (v94(constB17) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22223, 22194, 235])).
% 218.45/141.06 tff(22225,plain,
% 218.45/141.06 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22224, 22217])).
% 218.45/141.06 tff(22226,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 1) <=> v84(constB16, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 1) <=> v84(constB16, 1)))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22227,plain,
% 218.45/141.06 (($false | $false | (v84(constB17, 1) <=> v84(constB16, 1))) <=> (v84(constB17, 1) <=> v84(constB16, 1))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22228,plain,
% 218.45/141.06 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB17, 1) <=> v84(constB16, 1))) <=> ($false | $false | (v84(constB17, 1) <=> v84(constB16, 1)))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[402, 401])).
% 218.45/141.06 tff(22229,plain,
% 218.45/141.06 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB17, 1) <=> v84(constB16, 1))) <=> (v84(constB17, 1) <=> v84(constB16, 1))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22228, 22227])).
% 218.45/141.06 tff(22230,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB17, 1) <=> v84(constB16, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 1) <=> v84(constB16, 1)))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[22229])).
% 218.45/141.06 tff(22231,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB17, 1) <=> v84(constB16, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 1) <=> v84(constB16, 1)))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22230, 22226])).
% 218.45/141.06 tff(22232,plain,
% 218.45/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB17, 1) <=> v84(constB16, 1)))),
% 218.45/141.06 inference(quant_inst,[status(thm)],[])).
% 218.45/141.06 tff(22233,plain,
% 218.45/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 1) <=> v84(constB16, 1))),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22232, 22231])).
% 218.45/141.06 tff(22234,plain,
% 218.45/141.06 ($false),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22233, 22225, 22191])).
% 218.45/141.06 tff(22235,plain,(v84(constB17, 1) <=> v84(constB16, 1)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.06 tff(22236,plain,
% 218.45/141.06 ((~(v84(constB17, 1) <=> v84(constB16, 1))) | v84(constB17, 1) | (~v84(constB16, 1))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22237,plain,
% 218.45/141.06 (v84(constB17, 1) | (~v84(constB16, 1))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22236, 22235])).
% 218.45/141.06 tff(22238,plain,
% 218.45/141.06 (v84(constB17, 1)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22237, 22190])).
% 218.45/141.06 tff(22239,plain,
% 218.45/141.06 ((v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))) | (~v84(constB17, 1))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22240,plain,
% 218.45/141.06 (v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22239, 22238])).
% 218.45/141.06 tff(22241,plain,
% 218.45/141.06 ((~(v114(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))))) | (~v114(constB17)) | (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22242,plain,
% 218.45/141.06 ((~(v114(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))))) | (~v114(constB17))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22241, 22240])).
% 218.45/141.06 tff(22243,plain,
% 218.45/141.06 (~v114(constB17)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22242, 21652])).
% 218.45/141.06 tff(22244,assumption,(~v84(constB16, 0)), introduced(assumption)).
% 218.45/141.06 tff(22245,assumption,(v84(constB15, 0)), introduced(assumption)).
% 218.45/141.06 tff(22246,plain,
% 218.45/141.06 ((~(v84(constB16, 0) <=> v84(constB15, 0))) | v84(constB16, 0) | (~v84(constB15, 0))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22247,plain,
% 218.45/141.06 (~(v84(constB16, 0) <=> v84(constB15, 0))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22246, 22245, 22244])).
% 218.45/141.06 tff(22248,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))), introduced(assumption)).
% 218.45/141.06 tff(22249,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 0) <=> v84(constB15, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 0) <=> v84(constB15, 0)))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22250,plain,
% 218.45/141.06 (($false | $false | (v84(constB16, 0) <=> v84(constB15, 0))) <=> (v84(constB16, 0) <=> v84(constB15, 0))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22251,plain,
% 218.45/141.06 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB16, 0) <=> v84(constB15, 0))) <=> ($false | $false | (v84(constB16, 0) <=> v84(constB15, 0)))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.06 tff(22252,plain,
% 218.45/141.06 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB16, 0) <=> v84(constB15, 0))) <=> (v84(constB16, 0) <=> v84(constB15, 0))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22251, 22250])).
% 218.45/141.06 tff(22253,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB16, 0) <=> v84(constB15, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 0) <=> v84(constB15, 0)))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[22252])).
% 218.45/141.06 tff(22254,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB16, 0) <=> v84(constB15, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 0) <=> v84(constB15, 0)))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22253, 22249])).
% 218.45/141.06 tff(22255,plain,
% 218.45/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB16, 0) <=> v84(constB15, 0)))),
% 218.45/141.06 inference(quant_inst,[status(thm)],[])).
% 218.45/141.06 tff(22256,plain,
% 218.45/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 0) <=> v84(constB15, 0))),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22255, 22254])).
% 218.45/141.06 tff(22257,plain,
% 218.45/141.06 ($false),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22256, 22248, 22247])).
% 218.45/141.06 tff(22258,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (~v84(constB15, 0)) | v84(constB16, 0)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.06 tff(22259,plain,
% 218.45/141.06 (v84(constB16, 0)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22258, 22178, 21972])).
% 218.45/141.06 tff(22260,assumption,(~(v84(constB17, 0) <=> v84(constB16, 0))), introduced(assumption)).
% 218.45/141.06 tff(22261,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 0) <=> v84(constB16, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 0) <=> v84(constB16, 0)))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22262,plain,
% 218.45/141.06 (($false | $false | (v84(constB17, 0) <=> v84(constB16, 0))) <=> (v84(constB17, 0) <=> v84(constB16, 0))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22263,plain,
% 218.45/141.06 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB17, 0) <=> v84(constB16, 0))) <=> ($false | $false | (v84(constB17, 0) <=> v84(constB16, 0)))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[250, 249])).
% 218.45/141.06 tff(22264,plain,
% 218.45/141.06 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB17, 0) <=> v84(constB16, 0))) <=> (v84(constB17, 0) <=> v84(constB16, 0))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22263, 22262])).
% 218.45/141.06 tff(22265,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB17, 0) <=> v84(constB16, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 0) <=> v84(constB16, 0)))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[22264])).
% 218.45/141.06 tff(22266,plain,
% 218.45/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB17, 0) <=> v84(constB16, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 0) <=> v84(constB16, 0)))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22265, 22261])).
% 218.45/141.06 tff(22267,plain,
% 218.45/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB17, 0) <=> v84(constB16, 0)))),
% 218.45/141.06 inference(quant_inst,[status(thm)],[])).
% 218.45/141.06 tff(22268,plain,
% 218.45/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 0) <=> v84(constB16, 0))),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22267, 22266])).
% 218.45/141.06 tff(22269,plain,
% 218.45/141.06 ($false),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22268, 22225, 22260])).
% 218.45/141.06 tff(22270,plain,(v84(constB17, 0) <=> v84(constB16, 0)), inference(lemma,lemma(discharge,[]))).
% 218.45/141.06 tff(22271,plain,
% 218.45/141.06 ((~(v84(constB17, 0) <=> v84(constB16, 0))) | v84(constB17, 0) | (~v84(constB16, 0))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22272,plain,
% 218.45/141.06 (v84(constB17, 0) | (~v84(constB16, 0))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22271, 22270])).
% 218.45/141.06 tff(22273,plain,
% 218.45/141.06 (v84(constB17, 0)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22272, 22259])).
% 218.45/141.06 tff(22274,plain,
% 218.45/141.06 ((v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)) | (~v84(constB17, 0))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22275,plain,
% 218.45/141.06 (v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22274, 22273])).
% 218.45/141.06 tff(22276,assumption,(~(v113(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2))))), introduced(assumption)).
% 218.45/141.06 tff(22277,plain,
% 218.45/141.06 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2))))),
% 218.45/141.06 inference(quant_inst,[status(thm)],[])).
% 218.45/141.06 tff(22278,plain,
% 218.45/141.06 ($false),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22277, 597, 22276])).
% 218.45/141.06 tff(22279,plain,(v113(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.06 tff(22280,plain,
% 218.45/141.06 ((~(v113(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2))))) | (~v113(constB17)) | (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22281,plain,
% 218.45/141.06 ((~v113(constB17)) | (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22280, 22279])).
% 218.45/141.06 tff(22282,plain,
% 218.45/141.06 (~v113(constB17)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22281, 22275])).
% 218.45/141.06 tff(22283,plain,
% 218.45/141.06 ((~(v113(constB17) | v114(constB17))) | v113(constB17) | v114(constB17)),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22284,plain,
% 218.45/141.06 (~(v113(constB17) | v114(constB17))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22283, 22282, 22243])).
% 218.45/141.06 tff(22285,plain,
% 218.45/141.06 ((~(v112(constB17) <=> (v113(constB17) | v114(constB17)))) | (~v112(constB17)) | (v113(constB17) | v114(constB17))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22286,plain,
% 218.45/141.06 ((~(v112(constB17) <=> (v113(constB17) | v114(constB17)))) | (~v112(constB17))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22285, 22284])).
% 218.45/141.06 tff(22287,plain,
% 218.45/141.06 (~v112(constB17)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22286, 21650])).
% 218.45/141.06 tff(22288,plain,
% 218.45/141.06 ((v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))) | (~v84(constB17, 0))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22289,plain,
% 218.45/141.06 (v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22288, 22273])).
% 218.45/141.06 tff(22290,assumption,(~(v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))))), introduced(assumption)).
% 218.45/141.06 tff(22291,plain,
% 218.45/141.06 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))))))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22292,plain,
% 218.45/141.06 ((v115(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 2) | (~v84(constB17, 1))))) <=> (v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))))),
% 218.45/141.06 inference(rewrite,[status(thm)],[])).
% 218.45/141.06 tff(22293,plain,
% 218.45/141.06 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 2) | (~v84(constB17, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))))))),
% 218.45/141.06 inference(monotonicity,[status(thm)],[22292])).
% 218.45/141.06 tff(22294,plain,
% 218.45/141.06 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 2) | (~v84(constB17, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))))))),
% 218.45/141.06 inference(transitivity,[status(thm)],[22293, 22291])).
% 218.45/141.06 tff(22295,plain,
% 218.45/141.06 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 2) | (~v84(constB17, 1)))))),
% 218.45/141.06 inference(quant_inst,[status(thm)],[])).
% 218.45/141.06 tff(22296,plain,
% 218.45/141.06 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))))),
% 218.45/141.06 inference(modus_ponens,[status(thm)],[22295, 22294])).
% 218.45/141.06 tff(22297,plain,
% 218.45/141.06 ($false),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22296, 622, 22290])).
% 218.45/141.06 tff(22298,plain,(v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.45/141.06 tff(22299,plain,
% 218.45/141.06 ((~(v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))))) | (~v115(constB17)) | (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))))),
% 218.45/141.06 inference(tautology,[status(thm)],[])).
% 218.45/141.06 tff(22300,plain,
% 218.45/141.06 ((~v115(constB17)) | (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))))),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22299, 22298])).
% 218.45/141.06 tff(22301,plain,
% 218.45/141.06 (~v115(constB17)),
% 218.45/141.06 inference(unit_resolution,[status(thm)],[22300, 22289])).
% 218.52/141.06 tff(22302,plain,
% 218.52/141.06 ((~(v112(constB17) | v115(constB17))) | v112(constB17) | v115(constB17)),
% 218.52/141.06 inference(tautology,[status(thm)],[])).
% 218.52/141.06 tff(22303,plain,
% 218.52/141.06 ((~(v112(constB17) | v115(constB17))) | v112(constB17)),
% 218.52/141.06 inference(unit_resolution,[status(thm)],[22302, 22301])).
% 218.52/141.06 tff(22304,plain,
% 218.52/141.06 (~(v112(constB17) | v115(constB17))),
% 218.52/141.06 inference(unit_resolution,[status(thm)],[22303, 22287])).
% 218.52/141.06 tff(22305,plain,
% 218.52/141.06 ((~(v111(constB17) <=> (v112(constB17) | v115(constB17)))) | (~v111(constB17)) | (v112(constB17) | v115(constB17))),
% 218.52/141.06 inference(tautology,[status(thm)],[])).
% 218.52/141.06 tff(22306,plain,
% 218.52/141.06 (~v111(constB17)),
% 218.52/141.06 inference(unit_resolution,[status(thm)],[22305, 22304, 21648])).
% 218.52/141.06 tff(22307,plain,
% 218.52/141.06 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))))))),
% 218.52/141.06 inference(rewrite,[status(thm)],[])).
% 218.52/141.06 tff(22308,plain,
% 218.52/141.06 ((v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 1)) | (~v84(constB17, 0))))) <=> (v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))))),
% 218.52/141.06 inference(rewrite,[status(thm)],[])).
% 218.52/141.06 tff(22309,plain,
% 218.52/141.06 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 1)) | (~v84(constB17, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))))))),
% 218.52/141.06 inference(monotonicity,[status(thm)],[22308])).
% 218.52/141.06 tff(22310,plain,
% 218.52/141.06 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 1)) | (~v84(constB17, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))))))),
% 218.52/141.06 inference(transitivity,[status(thm)],[22309, 22307])).
% 218.52/141.06 tff(22311,plain,
% 218.52/141.06 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 1)) | (~v84(constB17, 0)))))),
% 218.52/141.06 inference(quant_inst,[status(thm)],[])).
% 218.52/141.06 tff(22312,plain,
% 218.52/141.06 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))))),
% 218.52/141.06 inference(modus_ponens,[status(thm)],[22311, 22310])).
% 218.52/141.06 tff(22313,plain,
% 218.52/141.06 (v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))))),
% 218.52/141.06 inference(unit_resolution,[status(thm)],[22312, 521])).
% 218.52/141.06 tff(22314,plain,
% 218.52/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 2) <=> v84(constB15, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 2) <=> v84(constB15, 2)))),
% 218.52/141.06 inference(rewrite,[status(thm)],[])).
% 218.52/141.06 tff(22315,plain,
% 218.52/141.06 (($false | $false | (v84(constB16, 2) <=> v84(constB15, 2))) <=> (v84(constB16, 2) <=> v84(constB15, 2))),
% 218.52/141.06 inference(rewrite,[status(thm)],[])).
% 218.52/141.06 tff(22316,plain,
% 218.52/141.06 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB16, 2) <=> v84(constB15, 2))) <=> ($false | $false | (v84(constB16, 2) <=> v84(constB15, 2)))),
% 218.52/141.06 inference(monotonicity,[status(thm)],[534, 533])).
% 218.52/141.06 tff(22317,plain,
% 218.52/141.06 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB16, 2) <=> v84(constB15, 2))) <=> (v84(constB16, 2) <=> v84(constB15, 2))),
% 218.52/141.06 inference(transitivity,[status(thm)],[22316, 22315])).
% 218.52/141.06 tff(22318,plain,
% 218.52/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB16, 2) <=> v84(constB15, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 2) <=> v84(constB15, 2)))),
% 218.52/141.06 inference(monotonicity,[status(thm)],[22317])).
% 218.52/141.06 tff(22319,plain,
% 218.52/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB16, 2) <=> v84(constB15, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 2) <=> v84(constB15, 2)))),
% 218.52/141.06 inference(transitivity,[status(thm)],[22318, 22314])).
% 218.52/141.06 tff(22320,plain,
% 218.52/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB16, 2) <=> v84(constB15, 2)))),
% 218.52/141.06 inference(quant_inst,[status(thm)],[])).
% 218.52/141.06 tff(22321,plain,
% 218.52/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | (v84(constB16, 2) <=> v84(constB15, 2))),
% 218.52/141.06 inference(modus_ponens,[status(thm)],[22320, 22319])).
% 218.52/141.06 tff(22322,plain,
% 218.52/141.06 (v84(constB16, 2) <=> v84(constB15, 2)),
% 218.52/141.06 inference(unit_resolution,[status(thm)],[22321, 22178])).
% 218.52/141.06 tff(22323,plain,
% 218.52/141.06 ((~(v84(constB16, 2) <=> v84(constB15, 2))) | v84(constB16, 2) | (~v84(constB15, 2))),
% 218.52/141.06 inference(tautology,[status(thm)],[])).
% 218.52/141.06 tff(22324,plain,
% 218.52/141.06 ((~(v84(constB16, 2) <=> v84(constB15, 2))) | v84(constB16, 2)),
% 218.52/141.06 inference(unit_resolution,[status(thm)],[22323, 22018])).
% 218.52/141.06 tff(22325,plain,
% 218.52/141.06 (v84(constB16, 2)),
% 218.52/141.06 inference(unit_resolution,[status(thm)],[22324, 22322])).
% 218.52/141.06 tff(22326,assumption,(~(v84(constB17, 2) <=> v84(constB16, 2))), introduced(assumption)).
% 218.52/141.06 tff(22327,plain,
% 218.52/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 2) <=> v84(constB16, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 2) <=> v84(constB16, 2)))),
% 218.52/141.06 inference(rewrite,[status(thm)],[])).
% 218.52/141.06 tff(22328,plain,
% 218.52/141.06 (($false | $false | (v84(constB17, 2) <=> v84(constB16, 2))) <=> (v84(constB17, 2) <=> v84(constB16, 2))),
% 218.52/141.06 inference(rewrite,[status(thm)],[])).
% 218.52/141.06 tff(22329,plain,
% 218.52/141.06 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB17, 2) <=> v84(constB16, 2))) <=> ($false | $false | (v84(constB17, 2) <=> v84(constB16, 2)))),
% 218.52/141.06 inference(monotonicity,[status(thm)],[534, 533])).
% 218.52/141.06 tff(22330,plain,
% 218.52/141.06 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB17, 2) <=> v84(constB16, 2))) <=> (v84(constB17, 2) <=> v84(constB16, 2))),
% 218.52/141.06 inference(transitivity,[status(thm)],[22329, 22328])).
% 218.52/141.06 tff(22331,plain,
% 218.52/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB17, 2) <=> v84(constB16, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 2) <=> v84(constB16, 2)))),
% 218.52/141.06 inference(monotonicity,[status(thm)],[22330])).
% 218.52/141.06 tff(22332,plain,
% 218.52/141.06 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB17, 2) <=> v84(constB16, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 2) <=> v84(constB16, 2)))),
% 218.52/141.06 inference(transitivity,[status(thm)],[22331, 22327])).
% 218.52/141.06 tff(22333,plain,
% 218.52/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB17, 2) <=> v84(constB16, 2)))),
% 218.52/141.06 inference(quant_inst,[status(thm)],[])).
% 218.52/141.06 tff(22334,plain,
% 218.52/141.06 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB17, B) <=> v84(constB16, B)))) | (v84(constB17, 2) <=> v84(constB16, 2))),
% 218.52/141.07 inference(modus_ponens,[status(thm)],[22333, 22332])).
% 218.52/141.07 tff(22335,plain,
% 218.52/141.07 ($false),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22334, 22225, 22326])).
% 218.52/141.07 tff(22336,plain,(v84(constB17, 2) <=> v84(constB16, 2)), inference(lemma,lemma(discharge,[]))).
% 218.52/141.07 tff(22337,plain,
% 218.52/141.07 ((~(v84(constB17, 2) <=> v84(constB16, 2))) | v84(constB17, 2) | (~v84(constB16, 2))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22338,plain,
% 218.52/141.07 (v84(constB17, 2) | (~v84(constB16, 2))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22337, 22336])).
% 218.52/141.07 tff(22339,plain,
% 218.52/141.07 (v84(constB17, 2)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22338, 22325])).
% 218.52/141.07 tff(22340,plain,
% 218.52/141.07 ((v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))) | (~v84(constB17, 2))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22341,plain,
% 218.52/141.07 (v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22340, 22339])).
% 218.52/141.07 tff(22342,plain,
% 218.52/141.07 ((~(v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))))) | (~v116(constB17)) | (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22343,plain,
% 218.52/141.07 ((~(v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))))) | (~v116(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22342, 22341])).
% 218.52/141.07 tff(22344,plain,
% 218.52/141.07 (~v116(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22343, 22313])).
% 218.52/141.07 tff(22345,plain,
% 218.52/141.07 ((~(v111(constB17) | v116(constB17))) | v111(constB17) | v116(constB17)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22346,plain,
% 218.52/141.07 ((~(v111(constB17) | v116(constB17))) | v111(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22345, 22344])).
% 218.52/141.07 tff(22347,plain,
% 218.52/141.07 (~(v111(constB17) | v116(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22346, 22306])).
% 218.52/141.07 tff(22348,plain,
% 218.52/141.07 ((~(v110(constB17) <=> (v111(constB17) | v116(constB17)))) | (~v110(constB17)) | (v111(constB17) | v116(constB17))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22349,plain,
% 218.52/141.07 (~v110(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22348, 22347, 21646])).
% 218.52/141.07 tff(22350,assumption,(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))), introduced(assumption)).
% 218.52/141.07 tff(22351,plain,
% 218.52/141.07 (v84(constB16, 2) <=> v84(constB15, 2)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22321, 22248])).
% 218.52/141.07 tff(22352,plain,
% 218.52/141.07 (v84(constB17, 2) <=> v84(constB16, 2)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22334, 22225])).
% 218.52/141.07 tff(22353,assumption,(~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))), introduced(assumption)).
% 218.52/141.07 tff(22354,plain,
% 218.52/141.07 ((v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))) | v84(constB17, 2)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22355,plain,
% 218.52/141.07 (v84(constB17, 2)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22354, 22353])).
% 218.52/141.07 tff(22356,plain,
% 218.52/141.07 ((~(v84(constB17, 2) <=> v84(constB16, 2))) | (~v84(constB17, 2)) | v84(constB16, 2)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22357,plain,
% 218.52/141.07 ((~(v84(constB17, 2) <=> v84(constB16, 2))) | v84(constB16, 2)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22356, 22355])).
% 218.52/141.07 tff(22358,plain,
% 218.52/141.07 (v84(constB16, 2)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22357, 22352])).
% 218.52/141.07 tff(22359,plain,
% 218.52/141.07 ((~(v84(constB16, 2) <=> v84(constB15, 2))) | (~v84(constB16, 2)) | v84(constB15, 2)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22360,plain,
% 218.52/141.07 ((~(v84(constB16, 2) <=> v84(constB15, 2))) | v84(constB15, 2)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22359, 22358])).
% 218.52/141.07 tff(22361,plain,
% 218.52/141.07 (v84(constB15, 2)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22360, 22351])).
% 218.52/141.07 tff(22362,plain,
% 218.52/141.07 (v84(constB16, 0) <=> v84(constB15, 0)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22256, 22248])).
% 218.52/141.07 tff(22363,plain,
% 218.52/141.07 (v84(constB17, 0) <=> v84(constB16, 0)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22268, 22225])).
% 218.52/141.07 tff(22364,plain,
% 218.52/141.07 ((v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))) | (~v84(constB17, 0))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22365,plain,
% 218.52/141.07 (~v84(constB17, 0)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22364, 22353])).
% 218.52/141.07 tff(22366,plain,
% 218.52/141.07 ((~(v84(constB17, 0) <=> v84(constB16, 0))) | (~v84(constB16, 0))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22271, 22365])).
% 218.52/141.07 tff(22367,plain,
% 218.52/141.07 (~v84(constB16, 0)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22366, 22363])).
% 218.52/141.07 tff(22368,plain,
% 218.52/141.07 ((~(v84(constB16, 0) <=> v84(constB15, 0))) | (~v84(constB15, 0))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22246, 22367])).
% 218.52/141.07 tff(22369,plain,
% 218.52/141.07 (~v84(constB15, 0)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22368, 22362])).
% 218.52/141.07 tff(22370,plain,
% 218.52/141.07 (v84(constB16, 1) <=> v84(constB15, 1)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22186, 22248])).
% 218.52/141.07 tff(22371,plain,
% 218.52/141.07 (v84(constB17, 1) <=> v84(constB16, 1)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22233, 22225])).
% 218.52/141.07 tff(22372,plain,
% 218.52/141.07 ((v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))) | (~v84(constB17, 1))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22373,plain,
% 218.52/141.07 (~v84(constB17, 1)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22372, 22353])).
% 218.52/141.07 tff(22374,plain,
% 218.52/141.07 ((~(v84(constB17, 1) <=> v84(constB16, 1))) | (~v84(constB16, 1))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22236, 22373])).
% 218.52/141.07 tff(22375,plain,
% 218.52/141.07 (~v84(constB16, 1)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22374, 22371])).
% 218.52/141.07 tff(22376,plain,
% 218.52/141.07 ((~(v84(constB16, 1) <=> v84(constB15, 1))) | (~v84(constB15, 1))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22188, 22375])).
% 218.52/141.07 tff(22377,plain,
% 218.52/141.07 (~v84(constB15, 1)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22376, 22370])).
% 218.52/141.07 tff(22378,plain,
% 218.52/141.07 ((~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))) | v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22379,plain,
% 218.52/141.07 ($false),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22378, 22377, 22369, 22361, 22350])).
% 218.52/141.07 tff(22380,plain,((v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))) | (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B))))), inference(lemma,lemma(discharge,[]))).
% 218.52/141.07 tff(22381,plain,
% 218.52/141.07 (v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22380, 22178, 22105])).
% 218.52/141.07 tff(22382,assumption,(~(v117(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))))), introduced(assumption)).
% 218.52/141.07 tff(22383,plain,
% 218.52/141.07 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))))))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22384,plain,
% 218.52/141.07 ((v117(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 1) | (~v84(constB17, 2))))) <=> (v117(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22385,plain,
% 218.52/141.07 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 1) | (~v84(constB17, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))))))),
% 218.52/141.07 inference(monotonicity,[status(thm)],[22384])).
% 218.52/141.07 tff(22386,plain,
% 218.52/141.07 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 1) | (~v84(constB17, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))))))),
% 218.52/141.07 inference(transitivity,[status(thm)],[22385, 22383])).
% 218.52/141.07 tff(22387,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 1) | (~v84(constB17, 2)))))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22388,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))))),
% 218.52/141.07 inference(modus_ponens,[status(thm)],[22387, 22386])).
% 218.52/141.07 tff(22389,plain,
% 218.52/141.07 ($false),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22388, 656, 22382])).
% 218.52/141.07 tff(22390,plain,(v117(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.52/141.07 tff(22391,plain,
% 218.52/141.07 ((~(v117(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))))) | (~v117(constB17)) | (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22392,plain,
% 218.52/141.07 ((~v117(constB17)) | (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22391, 22390])).
% 218.52/141.07 tff(22393,plain,
% 218.52/141.07 (~v117(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22392, 22381])).
% 218.52/141.07 tff(22394,plain,
% 218.52/141.07 ((~(v110(constB17) | v117(constB17))) | v110(constB17) | v117(constB17)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22395,plain,
% 218.52/141.07 ((~(v110(constB17) | v117(constB17))) | v110(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22394, 22393])).
% 218.52/141.07 tff(22396,plain,
% 218.52/141.07 (~(v110(constB17) | v117(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22395, 22349])).
% 218.52/141.07 tff(22397,plain,
% 218.52/141.07 ((~(v109(constB17) <=> (v110(constB17) | v117(constB17)))) | (~v109(constB17)) | (v110(constB17) | v117(constB17))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22398,plain,
% 218.52/141.07 (~v109(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22397, 22396, 21644])).
% 218.52/141.07 tff(22399,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB17) <=> (~(v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2)))))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22400,plain,
% 218.52/141.07 (v118(constB17) <=> (~(v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2))))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22399, 394])).
% 218.52/141.07 tff(22401,plain,
% 218.52/141.07 ((v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2))) | (~v84(constB17, 1))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22402,plain,
% 218.52/141.07 (v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22401, 22238])).
% 218.52/141.07 tff(22403,plain,
% 218.52/141.07 ((~(v118(constB17) <=> (~(v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2)))))) | (~v118(constB17)) | (~(v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2))))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22404,plain,
% 218.52/141.07 ((~(v118(constB17) <=> (~(v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2)))))) | (~v118(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22403, 22402])).
% 218.52/141.07 tff(22405,plain,
% 218.52/141.07 (~v118(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22404, 22400])).
% 218.52/141.07 tff(22406,plain,
% 218.52/141.07 ((~(v109(constB17) | v118(constB17))) | v109(constB17) | v118(constB17)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22407,plain,
% 218.52/141.07 ((~(v109(constB17) | v118(constB17))) | v109(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22406, 22405])).
% 218.52/141.07 tff(22408,plain,
% 218.52/141.07 (~(v109(constB17) | v118(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22407, 22398])).
% 218.52/141.07 tff(22409,plain,
% 218.52/141.07 ((~(v108(constB17) <=> (v109(constB17) | v118(constB17)))) | (~v108(constB17)) | (v109(constB17) | v118(constB17))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22410,plain,
% 218.52/141.07 (~v108(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22409, 22408, 21642])).
% 218.52/141.07 tff(22411,plain,
% 218.52/141.07 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1))))))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22412,plain,
% 218.52/141.07 ((v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 1)) | (~v84(constB17, 2))))) <=> (v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22413,plain,
% 218.52/141.07 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 1)) | (~v84(constB17, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1))))))),
% 218.52/141.07 inference(monotonicity,[status(thm)],[22412])).
% 218.52/141.07 tff(22414,plain,
% 218.52/141.07 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 1)) | (~v84(constB17, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1))))))),
% 218.52/141.07 inference(transitivity,[status(thm)],[22413, 22411])).
% 218.52/141.07 tff(22415,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 1)) | (~v84(constB17, 2)))))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22416,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))))),
% 218.52/141.07 inference(modus_ponens,[status(thm)],[22415, 22414])).
% 218.52/141.07 tff(22417,plain,
% 218.52/141.07 (v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1))))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22416, 318])).
% 218.52/141.07 tff(22418,plain,
% 218.52/141.07 ((v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1))) | (~v84(constB17, 0))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22419,plain,
% 218.52/141.07 (v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22418, 22273])).
% 218.52/141.07 tff(22420,plain,
% 218.52/141.07 ((~(v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))))) | (~v119(constB17)) | (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1))))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22421,plain,
% 218.52/141.07 ((~(v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))))) | (~v119(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22420, 22419])).
% 218.52/141.07 tff(22422,plain,
% 218.52/141.07 (~v119(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22421, 22417])).
% 218.52/141.07 tff(22423,plain,
% 218.52/141.07 ((~(v108(constB17) | v119(constB17))) | v108(constB17) | v119(constB17)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22424,plain,
% 218.52/141.07 ((~(v108(constB17) | v119(constB17))) | v108(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22423, 22422])).
% 218.52/141.07 tff(22425,plain,
% 218.52/141.07 (~(v108(constB17) | v119(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22424, 22410])).
% 218.52/141.07 tff(22426,plain,
% 218.52/141.07 ((~(v107(constB17) <=> (v108(constB17) | v119(constB17)))) | (~v107(constB17)) | (v108(constB17) | v119(constB17))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22427,plain,
% 218.52/141.07 (~v107(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22426, 22425, 21640])).
% 218.52/141.07 tff(22428,plain,
% 218.52/141.07 (((~v107(constB17)) | (~v120(constB17))) | v107(constB17)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22429,plain,
% 218.52/141.07 ((~v107(constB17)) | (~v120(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22428, 22427])).
% 218.52/141.07 tff(22430,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB17) <=> (~((~v107(constB17)) | (~v120(constB17)))))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22431,plain,
% 218.52/141.07 (v106(constB17) <=> (~((~v107(constB17)) | (~v120(constB17))))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22430, 132])).
% 218.52/141.07 tff(22432,plain,
% 218.52/141.07 ((~(v106(constB17) <=> (~((~v107(constB17)) | (~v120(constB17)))))) | (~v106(constB17)) | (~((~v107(constB17)) | (~v120(constB17))))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22433,plain,
% 218.52/141.07 ((~v106(constB17)) | (~((~v107(constB17)) | (~v120(constB17))))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22432, 22431])).
% 218.52/141.07 tff(22434,plain,
% 218.52/141.07 (~v106(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22433, 22429])).
% 218.52/141.07 tff(22435,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB17) <=> v26(constB17))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22436,plain,
% 218.52/141.07 (v105(constB17) <=> v26(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22435, 156])).
% 218.52/141.07 tff(22437,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22438,plain,
% 218.52/141.07 (~v26(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22437, 168])).
% 218.52/141.07 tff(22439,plain,
% 218.52/141.07 ((~(v105(constB17) <=> v26(constB17))) | (~v105(constB17)) | v26(constB17)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22440,plain,
% 218.52/141.07 ((~(v105(constB17) <=> v26(constB17))) | (~v105(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22439, 22438])).
% 218.52/141.07 tff(22441,plain,
% 218.52/141.07 (~v105(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22440, 22436])).
% 218.52/141.07 tff(22442,plain,
% 218.52/141.07 ((~(v105(constB17) | v106(constB17))) | v105(constB17) | v106(constB17)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22443,plain,
% 218.52/141.07 ((~(v105(constB17) | v106(constB17))) | v106(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22442, 22441])).
% 218.52/141.07 tff(22444,plain,
% 218.52/141.07 (~(v105(constB17) | v106(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22443, 22434])).
% 218.52/141.07 tff(22445,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB17) <=> (v105(constB17) | v106(constB17)))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22446,plain,
% 218.52/141.07 (v102(constB17) <=> (v105(constB17) | v106(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22445, 115])).
% 218.52/141.07 tff(22447,plain,
% 218.52/141.07 ((~(v102(constB17) <=> (v105(constB17) | v106(constB17)))) | (~v102(constB17)) | (v105(constB17) | v106(constB17))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22448,plain,
% 218.52/141.07 ((~v102(constB17)) | (v105(constB17) | v106(constB17))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22447, 22446])).
% 218.52/141.07 tff(22449,plain,
% 218.52/141.07 (~v102(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22448, 22444])).
% 218.52/141.07 tff(22450,plain,
% 218.52/141.07 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22451,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17')).
% 218.52/141.07 tff(22452,plain,
% 218.52/141.07 (nextState(constB17, constB18)),
% 218.52/141.07 inference(modus_ponens,[status(thm)],[22451, 22450])).
% 218.52/141.07 tff(22453,plain,
% 218.52/141.07 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17)))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22454,plain,
% 218.52/141.07 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17)))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22455,plain,
% 218.52/141.07 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17))),
% 218.52/141.07 inference(modus_ponens,[status(thm)],[22454, 22453])).
% 218.52/141.07 tff(22456,plain,
% 218.52/141.07 (v104(constB18) <=> v102(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22455, 22452, 101])).
% 218.52/141.07 tff(22457,plain,
% 218.52/141.07 ((~(v104(constB18) <=> v102(constB17))) | (~v104(constB18)) | v102(constB17)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22458,plain,
% 218.52/141.07 ((~v104(constB18)) | v102(constB17)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22457, 22456])).
% 218.52/141.07 tff(22459,plain,
% 218.52/141.07 (~v104(constB18)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22458, 22449])).
% 218.52/141.07 tff(22460,plain,
% 218.52/141.07 (((~v95(constB18)) | (~v104(constB18))) | v104(constB18)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22461,plain,
% 218.52/141.07 ((~v95(constB18)) | (~v104(constB18))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22460, 22459])).
% 218.52/141.07 tff(22462,plain,
% 218.52/141.07 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18))))))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22463,plain,
% 218.52/141.07 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18))))))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22464,plain,
% 218.52/141.07 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18)))))),
% 218.52/141.07 inference(modus_ponens,[status(thm)],[22463, 22462])).
% 218.52/141.07 tff(22465,plain,
% 218.52/141.07 (v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18))))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22464, 22452, 14])).
% 218.52/141.07 tff(22466,plain,
% 218.52/141.07 ((~(v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18)))))) | (~v94(constB18)) | (~((~v95(constB18)) | (~v104(constB18))))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22467,plain,
% 218.52/141.07 ((~v94(constB18)) | (~((~v95(constB18)) | (~v104(constB18))))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22466, 22465])).
% 218.52/141.07 tff(22468,plain,
% 218.52/141.07 (~v94(constB18)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22467, 22461])).
% 218.52/141.07 tff(22469,plain,
% 218.52/141.07 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB18) | (~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB18) | (~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B))))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22470,plain,
% 218.52/141.07 ((v94(constB18) | (~nextState(constB17, constB18)) | ![B: $int] : ((v84(constB18, B) <=> v84(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB18) | (~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B))))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22471,plain,
% 218.52/141.07 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB18) | (~nextState(constB17, constB18)) | ![B: $int] : ((v84(constB18, B) <=> v84(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB18) | (~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))))),
% 218.52/141.07 inference(monotonicity,[status(thm)],[22470])).
% 218.52/141.07 tff(22472,plain,
% 218.52/141.07 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB18) | (~nextState(constB17, constB18)) | ![B: $int] : ((v84(constB18, B) <=> v84(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB18) | (~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B))))),
% 218.52/141.07 inference(transitivity,[status(thm)],[22471, 22469])).
% 218.52/141.07 tff(22473,plain,
% 218.52/141.07 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB18) | (~nextState(constB17, constB18)) | ![B: $int] : ((v84(constB18, B) <=> v84(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22474,plain,
% 218.52/141.07 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB18) | (~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))),
% 218.52/141.07 inference(modus_ponens,[status(thm)],[22473, 22472])).
% 218.52/141.07 tff(22475,plain,
% 218.52/141.07 (v94(constB18) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22474, 22452, 235])).
% 218.52/141.07 tff(22476,plain,
% 218.52/141.07 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22475, 22468])).
% 218.52/141.07 tff(22477,plain,
% 218.52/141.07 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 1) <=> v84(constB17, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 1) <=> v84(constB17, 1)))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22478,plain,
% 218.52/141.07 (($false | $false | (v84(constB18, 1) <=> v84(constB17, 1))) <=> (v84(constB18, 1) <=> v84(constB17, 1))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22479,plain,
% 218.52/141.07 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB18, 1) <=> v84(constB17, 1))) <=> ($false | $false | (v84(constB18, 1) <=> v84(constB17, 1)))),
% 218.52/141.07 inference(monotonicity,[status(thm)],[402, 401])).
% 218.52/141.07 tff(22480,plain,
% 218.52/141.07 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB18, 1) <=> v84(constB17, 1))) <=> (v84(constB18, 1) <=> v84(constB17, 1))),
% 218.52/141.07 inference(transitivity,[status(thm)],[22479, 22478])).
% 218.52/141.07 tff(22481,plain,
% 218.52/141.07 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB18, 1) <=> v84(constB17, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 1) <=> v84(constB17, 1)))),
% 218.52/141.07 inference(monotonicity,[status(thm)],[22480])).
% 218.52/141.07 tff(22482,plain,
% 218.52/141.07 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB18, 1) <=> v84(constB17, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 1) <=> v84(constB17, 1)))),
% 218.52/141.07 inference(transitivity,[status(thm)],[22481, 22477])).
% 218.52/141.07 tff(22483,plain,
% 218.52/141.07 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB18, 1) <=> v84(constB17, 1)))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22484,plain,
% 218.52/141.07 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 1) <=> v84(constB17, 1))),
% 218.52/141.07 inference(modus_ponens,[status(thm)],[22483, 22482])).
% 218.52/141.07 tff(22485,plain,
% 218.52/141.07 (v84(constB18, 1) <=> v84(constB17, 1)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22484, 22476])).
% 218.52/141.07 tff(22486,plain,
% 218.52/141.07 ((~(v84(constB18, 1) <=> v84(constB17, 1))) | v84(constB18, 1) | (~v84(constB17, 1))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22487,plain,
% 218.52/141.07 ((~(v84(constB18, 1) <=> v84(constB17, 1))) | v84(constB18, 1)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22486, 22238])).
% 218.52/141.07 tff(22488,plain,
% 218.52/141.07 (v84(constB18, 1)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22487, 22485])).
% 218.52/141.07 tff(22489,plain,
% 218.52/141.07 ((v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0))) | (~v84(constB18, 1))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22490,plain,
% 218.52/141.07 (v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22489, 22488])).
% 218.52/141.07 tff(22491,plain,
% 218.52/141.07 ((~(v114(constB18) <=> (~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))))) | (~v114(constB18)) | (~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0))))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22492,plain,
% 218.52/141.07 ((~(v114(constB18) <=> (~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))))) | (~v114(constB18))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22491, 22490])).
% 218.52/141.07 tff(22493,plain,
% 218.52/141.07 (~v114(constB18)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22492, 21568])).
% 218.52/141.07 tff(22494,plain,
% 218.52/141.07 ((v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2)) | (~v84(constB18, 1))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22495,plain,
% 218.52/141.07 (v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22494, 22488])).
% 218.52/141.07 tff(22496,plain,
% 218.52/141.07 ((~(v113(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))))) | (~v113(constB18)) | (~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2)))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22497,plain,
% 218.52/141.07 ((~(v113(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))))) | (~v113(constB18))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22496, 22495])).
% 218.52/141.07 tff(22498,plain,
% 218.52/141.07 (~v113(constB18)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22497, 21529])).
% 218.52/141.07 tff(22499,plain,
% 218.52/141.07 ((~(v113(constB18) | v114(constB18))) | v113(constB18) | v114(constB18)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22500,plain,
% 218.52/141.07 (~(v113(constB18) | v114(constB18))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22499, 22498, 22493])).
% 218.52/141.07 tff(22501,plain,
% 218.52/141.07 ((~(v112(constB18) <=> (v113(constB18) | v114(constB18)))) | (~v112(constB18)) | (v113(constB18) | v114(constB18))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22502,plain,
% 218.52/141.07 ((~(v112(constB18) <=> (v113(constB18) | v114(constB18)))) | (~v112(constB18))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22501, 22500])).
% 218.52/141.07 tff(22503,plain,
% 218.52/141.07 (~v112(constB18)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22502, 21566])).
% 218.52/141.07 tff(22504,plain,
% 218.52/141.07 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 0) <=> v84(constB17, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 0) <=> v84(constB17, 0)))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22505,plain,
% 218.52/141.07 (($false | $false | (v84(constB18, 0) <=> v84(constB17, 0))) <=> (v84(constB18, 0) <=> v84(constB17, 0))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22506,plain,
% 218.52/141.07 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB18, 0) <=> v84(constB17, 0))) <=> ($false | $false | (v84(constB18, 0) <=> v84(constB17, 0)))),
% 218.52/141.07 inference(monotonicity,[status(thm)],[250, 249])).
% 218.52/141.07 tff(22507,plain,
% 218.52/141.07 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB18, 0) <=> v84(constB17, 0))) <=> (v84(constB18, 0) <=> v84(constB17, 0))),
% 218.52/141.07 inference(transitivity,[status(thm)],[22506, 22505])).
% 218.52/141.07 tff(22508,plain,
% 218.52/141.07 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB18, 0) <=> v84(constB17, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 0) <=> v84(constB17, 0)))),
% 218.52/141.07 inference(monotonicity,[status(thm)],[22507])).
% 218.52/141.07 tff(22509,plain,
% 218.52/141.07 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB18, 0) <=> v84(constB17, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 0) <=> v84(constB17, 0)))),
% 218.52/141.07 inference(transitivity,[status(thm)],[22508, 22504])).
% 218.52/141.07 tff(22510,plain,
% 218.52/141.07 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB18, 0) <=> v84(constB17, 0)))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22511,plain,
% 218.52/141.07 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 0) <=> v84(constB17, 0))),
% 218.52/141.07 inference(modus_ponens,[status(thm)],[22510, 22509])).
% 218.52/141.07 tff(22512,plain,
% 218.52/141.07 (v84(constB18, 0) <=> v84(constB17, 0)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22511, 22476])).
% 218.52/141.07 tff(22513,plain,
% 218.52/141.07 ((~(v84(constB18, 0) <=> v84(constB17, 0))) | v84(constB18, 0) | (~v84(constB17, 0))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22514,plain,
% 218.52/141.07 ((~(v84(constB18, 0) <=> v84(constB17, 0))) | v84(constB18, 0)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22513, 22273])).
% 218.52/141.07 tff(22515,plain,
% 218.52/141.07 (v84(constB18, 0)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22514, 22512])).
% 218.52/141.07 tff(22516,plain,
% 218.52/141.07 ((v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)) | (~v84(constB18, 0))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22517,plain,
% 218.52/141.07 (v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22516, 22515])).
% 218.52/141.07 tff(22518,plain,
% 218.52/141.07 ((~(v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2))))) | (~v115(constB18)) | (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22519,plain,
% 218.52/141.07 ((~(v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2))))) | (~v115(constB18))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22518, 22517])).
% 218.52/141.07 tff(22520,plain,
% 218.52/141.07 (~v115(constB18)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22519, 21539])).
% 218.52/141.07 tff(22521,plain,
% 218.52/141.07 ((~(v112(constB18) | v115(constB18))) | v112(constB18) | v115(constB18)),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22522,plain,
% 218.52/141.07 ((~(v112(constB18) | v115(constB18))) | v112(constB18)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22521, 22520])).
% 218.52/141.07 tff(22523,plain,
% 218.52/141.07 (~(v112(constB18) | v115(constB18))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22522, 22503])).
% 218.52/141.07 tff(22524,plain,
% 218.52/141.07 ((~(v111(constB18) <=> (v112(constB18) | v115(constB18)))) | (~v111(constB18)) | (v112(constB18) | v115(constB18))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22525,plain,
% 218.52/141.07 (~v111(constB18)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22524, 22523, 21541])).
% 218.52/141.07 tff(22526,plain,
% 218.52/141.07 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))))))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22527,plain,
% 218.52/141.07 ((v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 0)) | (~v84(constB18, 2))))) <=> (v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))))),
% 218.52/141.07 inference(rewrite,[status(thm)],[])).
% 218.52/141.07 tff(22528,plain,
% 218.52/141.07 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 0)) | (~v84(constB18, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))))))),
% 218.52/141.07 inference(monotonicity,[status(thm)],[22527])).
% 218.52/141.07 tff(22529,plain,
% 218.52/141.07 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 0)) | (~v84(constB18, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))))))),
% 218.52/141.07 inference(transitivity,[status(thm)],[22528, 22526])).
% 218.52/141.07 tff(22530,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 0)) | (~v84(constB18, 2)))))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22531,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))))),
% 218.52/141.07 inference(modus_ponens,[status(thm)],[22530, 22529])).
% 218.52/141.07 tff(22532,plain,
% 218.52/141.07 (v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22531, 394])).
% 218.52/141.07 tff(22533,plain,
% 218.52/141.07 ((v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))) | (~v84(constB18, 1))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22534,plain,
% 218.52/141.07 (v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22533, 22488])).
% 218.52/141.07 tff(22535,plain,
% 218.52/141.07 ((~(v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))))) | (~v118(constB18)) | (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22536,plain,
% 218.52/141.07 ((~(v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))))) | (~v118(constB18))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22535, 22534])).
% 218.52/141.07 tff(22537,plain,
% 218.52/141.07 (~v118(constB18)),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22536, 22532])).
% 218.52/141.07 tff(22538,assumption,(v108(constB18) | v119(constB18)), introduced(assumption)).
% 218.52/141.07 tff(22539,plain,
% 218.52/141.07 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2)))))),
% 218.52/141.07 inference(quant_inst,[status(thm)],[])).
% 218.52/141.07 tff(22540,plain,
% 218.52/141.07 (v119(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22539, 318])).
% 218.52/141.07 tff(22541,plain,
% 218.52/141.07 ((v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))) | (~v84(constB18, 0))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22542,plain,
% 218.52/141.07 (v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))),
% 218.52/141.07 inference(unit_resolution,[status(thm)],[22541, 22515])).
% 218.52/141.07 tff(22543,plain,
% 218.52/141.07 ((~(v119(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2)))))) | (~v119(constB18)) | (~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))))),
% 218.52/141.07 inference(tautology,[status(thm)],[])).
% 218.52/141.07 tff(22544,plain,
% 218.52/141.07 ((~(v119(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2)))))) | (~v119(constB18))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22543, 22542])).
% 218.52/141.08 tff(22545,plain,
% 218.52/141.08 (~v119(constB18)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22544, 22540])).
% 218.52/141.08 tff(22546,plain,
% 218.52/141.08 ((~(v108(constB18) | v119(constB18))) | v108(constB18) | v119(constB18)),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22547,plain,
% 218.52/141.08 (v108(constB18)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22546, 22545, 22538])).
% 218.52/141.08 tff(22548,plain,
% 218.52/141.08 ((~(v108(constB18) <=> (v109(constB18) | v118(constB18)))) | (~v108(constB18)) | (v109(constB18) | v118(constB18))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22549,plain,
% 218.52/141.08 ((~v108(constB18)) | (v109(constB18) | v118(constB18))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22548, 21633])).
% 218.52/141.08 tff(22550,plain,
% 218.52/141.08 (v109(constB18) | v118(constB18)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22549, 22547])).
% 218.52/141.08 tff(22551,plain,
% 218.52/141.08 ((~(v109(constB18) | v118(constB18))) | v109(constB18) | v118(constB18)),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22552,plain,
% 218.52/141.08 (v109(constB18)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22551, 22550, 22537])).
% 218.52/141.08 tff(22553,plain,
% 218.52/141.08 ((~(v109(constB18) <=> (v110(constB18) | v117(constB18)))) | (~v109(constB18)) | (v110(constB18) | v117(constB18))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22554,plain,
% 218.52/141.08 ((~(v109(constB18) <=> (v110(constB18) | v117(constB18)))) | (v110(constB18) | v117(constB18))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22553, 22552])).
% 218.52/141.08 tff(22555,plain,
% 218.52/141.08 (v110(constB18) | v117(constB18)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22554, 21545])).
% 218.52/141.08 tff(22556,plain,
% 218.52/141.08 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))))),
% 218.52/141.08 inference(quant_inst,[status(thm)],[])).
% 218.52/141.08 tff(22557,plain,
% 218.52/141.08 (v117(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22556, 656])).
% 218.52/141.08 tff(22558,plain,
% 218.52/141.08 ((v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))) | (~v84(constB18, 1))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22559,plain,
% 218.52/141.08 (v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22558, 22488])).
% 218.52/141.08 tff(22560,plain,
% 218.52/141.08 ((~(v117(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))))) | (~v117(constB18)) | (~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22561,plain,
% 218.52/141.08 ((~(v117(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))))) | (~v117(constB18))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22560, 22559])).
% 218.52/141.08 tff(22562,plain,
% 218.52/141.08 (~v117(constB18)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22561, 22557])).
% 218.52/141.08 tff(22563,plain,
% 218.52/141.08 ((~(v110(constB18) | v117(constB18))) | v110(constB18) | v117(constB18)),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22564,plain,
% 218.52/141.08 ((~(v110(constB18) | v117(constB18))) | v110(constB18)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22563, 22562])).
% 218.52/141.08 tff(22565,plain,
% 218.52/141.08 (v110(constB18)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22564, 22555])).
% 218.52/141.08 tff(22566,plain,
% 218.52/141.08 ((~(v110(constB18) <=> (v111(constB18) | v116(constB18)))) | (~v110(constB18)) | (v111(constB18) | v116(constB18))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22567,plain,
% 218.52/141.08 (v111(constB18) | v116(constB18)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22566, 22565, 21543])).
% 218.52/141.08 tff(22568,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 2) <=> v84(constB17, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 2) <=> v84(constB17, 2)))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22569,plain,
% 218.52/141.08 (($false | $false | (v84(constB18, 2) <=> v84(constB17, 2))) <=> (v84(constB18, 2) <=> v84(constB17, 2))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22570,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB18, 2) <=> v84(constB17, 2))) <=> ($false | $false | (v84(constB18, 2) <=> v84(constB17, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[534, 533])).
% 218.52/141.08 tff(22571,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB18, 2) <=> v84(constB17, 2))) <=> (v84(constB18, 2) <=> v84(constB17, 2))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22570, 22569])).
% 218.52/141.08 tff(22572,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB18, 2) <=> v84(constB17, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 2) <=> v84(constB17, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[22571])).
% 218.52/141.08 tff(22573,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB18, 2) <=> v84(constB17, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 2) <=> v84(constB17, 2)))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22572, 22568])).
% 218.52/141.08 tff(22574,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB18, 2) <=> v84(constB17, 2)))),
% 218.52/141.08 inference(quant_inst,[status(thm)],[])).
% 218.52/141.08 tff(22575,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (v84(constB18, 2) <=> v84(constB17, 2))),
% 218.52/141.08 inference(modus_ponens,[status(thm)],[22574, 22573])).
% 218.52/141.08 tff(22576,plain,
% 218.52/141.08 (v84(constB18, 2) <=> v84(constB17, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22575, 22476])).
% 218.52/141.08 tff(22577,plain,
% 218.52/141.08 ((~(v84(constB18, 2) <=> v84(constB17, 2))) | v84(constB18, 2) | (~v84(constB17, 2))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22578,plain,
% 218.52/141.08 ((~(v84(constB18, 2) <=> v84(constB17, 2))) | v84(constB18, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22577, 22339])).
% 218.52/141.08 tff(22579,plain,
% 218.52/141.08 (v84(constB18, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22578, 22576])).
% 218.52/141.08 tff(22580,plain,
% 218.52/141.08 (((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))) | (~v84(constB18, 2))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22581,plain,
% 218.52/141.08 ((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22580, 22579])).
% 218.52/141.08 tff(22582,plain,
% 218.52/141.08 ((~(v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0)))))) | (~v116(constB18)) | (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22583,plain,
% 218.52/141.08 ((~(v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0)))))) | (~v116(constB18))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22582, 22581])).
% 218.52/141.08 tff(22584,plain,
% 218.52/141.08 (~v116(constB18)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22583, 21589])).
% 218.52/141.08 tff(22585,plain,
% 218.52/141.08 ((~(v111(constB18) | v116(constB18))) | v111(constB18) | v116(constB18)),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22586,plain,
% 218.52/141.08 ((~(v111(constB18) | v116(constB18))) | v111(constB18)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22585, 22584])).
% 218.52/141.08 tff(22587,plain,
% 218.52/141.08 ($false),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22586, 22567, 22525])).
% 218.52/141.08 tff(22588,plain,(v102(constB11) | (~(v108(constB18) | v119(constB18)))), inference(lemma,lemma(discharge,[]))).
% 218.52/141.08 tff(22589,plain,
% 218.52/141.08 (v102(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22588, 21638])).
% 218.52/141.08 tff(22590,plain,
% 218.52/141.08 (v104(constB12)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20123, 22589])).
% 218.52/141.08 tff(22591,plain,
% 218.52/141.08 (~((~v95(constB12)) | (~v104(constB12)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20115, 22590])).
% 218.52/141.08 tff(22592,plain,
% 218.52/141.08 (v94(constB12)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20081, 22591])).
% 218.52/141.08 tff(22593,plain,
% 218.52/141.08 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20232, 22592])).
% 218.52/141.08 tff(22594,assumption,((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)), introduced(assumption)).
% 218.52/141.08 tff(22595,plain,
% 218.52/141.08 (v84(constB10, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21245, 20322, 21241, 20872, 21216])).
% 218.52/141.08 tff(22596,plain,
% 218.52/141.08 ((~(v84(constB10, 1) <=> v84(constB9, 1))) | v84(constB9, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21309, 22595])).
% 218.52/141.08 tff(22597,plain,
% 218.52/141.08 (v84(constB9, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22596, 21225])).
% 218.52/141.08 tff(22598,plain,
% 218.52/141.08 (~v84(constB9, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21312, 21240, 22597, 21286])).
% 218.52/141.08 tff(22599,plain,
% 218.52/141.08 ($false),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20773, 22598, 21240, 22597, 22594])).
% 218.52/141.08 tff(22600,plain,(v84(constB11, 0) | (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))) | (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))) | (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))) | (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.52/141.08 tff(22601,plain,
% 218.52/141.08 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22600, 20322, 20938, 21286, 21205, 21241])).
% 218.52/141.08 tff(22602,plain,
% 218.52/141.08 (v94(constB10)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20695, 22601])).
% 218.52/141.08 tff(22603,plain,
% 218.52/141.08 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21047, 22602])).
% 218.52/141.08 tff(22604,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 2) <=> v123(constB10, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 2) <=> v123(constB10, 2)))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22605,plain,
% 218.52/141.08 (($false | $false | (v84(constB10, 2) <=> v123(constB10, 2))) <=> (v84(constB10, 2) <=> v123(constB10, 2))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22606,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB10, 2) <=> v123(constB10, 2))) <=> ($false | $false | (v84(constB10, 2) <=> v123(constB10, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[534, 533])).
% 218.52/141.08 tff(22607,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB10, 2) <=> v123(constB10, 2))) <=> (v84(constB10, 2) <=> v123(constB10, 2))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22606, 22605])).
% 218.52/141.08 tff(22608,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB10, 2) <=> v123(constB10, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 2) <=> v123(constB10, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[22607])).
% 218.52/141.08 tff(22609,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB10, 2) <=> v123(constB10, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 2) <=> v123(constB10, 2)))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22608, 22604])).
% 218.52/141.08 tff(22610,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB10, 2) <=> v123(constB10, 2)))),
% 218.52/141.08 inference(quant_inst,[status(thm)],[])).
% 218.52/141.08 tff(22611,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | (v84(constB10, 2) <=> v123(constB10, 2))),
% 218.52/141.08 inference(modus_ponens,[status(thm)],[22610, 22609])).
% 218.52/141.08 tff(22612,plain,
% 218.52/141.08 (v84(constB10, 2) <=> v123(constB10, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22611, 22603])).
% 218.52/141.08 tff(22613,plain,
% 218.52/141.08 ((v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))) | v84(constB11, 0)),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22614,plain,
% 218.52/141.08 (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22613, 20322])).
% 218.52/141.08 tff(22615,plain,
% 218.52/141.08 (~v114(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20594, 22614])).
% 218.52/141.08 tff(22616,plain,
% 218.52/141.08 (((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))) | v84(constB11, 0)),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22617,plain,
% 218.52/141.08 ((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22616, 20322])).
% 218.52/141.08 tff(22618,assumption,(~(v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))))), introduced(assumption)).
% 218.52/141.08 tff(22619,plain,
% 218.52/141.08 ($false),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20210, 394, 22618])).
% 218.52/141.08 tff(22620,plain,(v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.52/141.08 tff(22621,plain,
% 218.52/141.08 ((~(v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))))) | (~v118(constB11)) | (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22622,plain,
% 218.52/141.08 ((~v118(constB11)) | (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22621, 22620])).
% 218.52/141.08 tff(22623,plain,
% 218.52/141.08 (~v118(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22622, 22617])).
% 218.52/141.08 tff(22624,plain,
% 218.52/141.08 (v115(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20624, 22623, 21470, 21328, 20601, 22615, 20611])).
% 218.52/141.08 tff(22625,plain,
% 218.52/141.08 ((~(v115(constB11) <=> (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))))) | (~v115(constB11)) | (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22626,plain,
% 218.52/141.08 ((~v115(constB11)) | (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22625, 20376])).
% 218.52/141.08 tff(22627,plain,
% 218.52/141.08 (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22626, 22624])).
% 218.52/141.08 tff(22628,plain,
% 218.52/141.08 (~v84(constB11, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20930, 22627])).
% 218.52/141.08 tff(22629,plain,
% 218.52/141.08 (~v84(constB10, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20928, 22628])).
% 218.52/141.08 tff(22630,plain,
% 218.52/141.08 ((~(v84(constB10, 2) <=> v123(constB10, 2))) | v84(constB10, 2) | (~v123(constB10, 2))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22631,plain,
% 218.52/141.08 ((~(v84(constB10, 2) <=> v123(constB10, 2))) | (~v123(constB10, 2))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22630, 22629])).
% 218.52/141.08 tff(22632,plain,
% 218.52/141.08 (~v123(constB10, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22631, 22612])).
% 218.52/141.08 tff(22633,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 2) <=> v124(constB9, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 2) <=> v124(constB9, 2)))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22634,plain,
% 218.52/141.08 (($false | $false | (v121(constB9, 2) <=> v124(constB9, 2))) <=> (v121(constB9, 2) <=> v124(constB9, 2))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22635,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB9, 2) <=> v124(constB9, 2))) <=> ($false | $false | (v121(constB9, 2) <=> v124(constB9, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[534, 533])).
% 218.52/141.08 tff(22636,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB9, 2) <=> v124(constB9, 2))) <=> (v121(constB9, 2) <=> v124(constB9, 2))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22635, 22634])).
% 218.52/141.08 tff(22637,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB9, 2) <=> v124(constB9, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 2) <=> v124(constB9, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[22636])).
% 218.52/141.08 tff(22638,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB9, 2) <=> v124(constB9, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 2) <=> v124(constB9, 2)))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22637, 22633])).
% 218.52/141.08 tff(22639,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB9, 2) <=> v124(constB9, 2)))),
% 218.52/141.08 inference(quant_inst,[status(thm)],[])).
% 218.52/141.08 tff(22640,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB9, B) <=> v124(constB9, B)))) | (v121(constB9, 2) <=> v124(constB9, 2))),
% 218.52/141.08 inference(modus_ponens,[status(thm)],[22639, 22638])).
% 218.52/141.08 tff(22641,plain,
% 218.52/141.08 (v121(constB9, 2) <=> v124(constB9, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22640, 20984])).
% 218.52/141.08 tff(22642,plain,
% 218.52/141.08 (v84(constB10, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21250, 20322, 20936, 20944])).
% 218.52/141.08 tff(22643,plain,
% 218.52/141.08 (v123(constB10, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21363, 22603, 22642])).
% 218.52/141.08 tff(22644,plain,
% 218.52/141.08 (v121(constB9, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21366, 22643])).
% 218.52/141.08 tff(22645,plain,
% 218.52/141.08 (v124(constB9, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21369, 22644])).
% 218.52/141.08 tff(22646,plain,
% 218.52/141.08 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21448, 22645])).
% 218.52/141.08 tff(22647,plain,
% 218.52/141.08 ((~(v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))))) | (~v117(constB9)) | (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22648,plain,
% 218.52/141.08 ((~(v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))))) | (~v117(constB9))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22647, 21241])).
% 218.52/141.08 tff(22649,plain,
% 218.52/141.08 (~v117(constB9)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22648, 21212])).
% 218.52/141.08 tff(22650,assumption,(~(v113(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2))))), introduced(assumption)).
% 218.52/141.08 tff(22651,plain,
% 218.52/141.08 ($false),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20765, 597, 22650])).
% 218.52/141.08 tff(22652,plain,(v113(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.52/141.08 tff(22653,plain,
% 218.52/141.08 ((~(v113(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2))))) | (~v113(constB9)) | (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22654,plain,
% 218.52/141.08 ((~v113(constB9)) | (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22653, 22652])).
% 218.52/141.08 tff(22655,plain,
% 218.52/141.08 (~v113(constB9)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22654, 21205])).
% 218.52/141.08 tff(22656,plain,
% 218.52/141.08 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))) | v118(constB9)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21100, 1807, 21067, 20944, 22655, 22649, 21076])).
% 218.52/141.08 tff(22657,plain,
% 218.52/141.08 (v118(constB9)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22656, 22646])).
% 218.52/141.08 tff(22658,assumption,(v118(constB9)), introduced(assumption)).
% 218.52/141.08 tff(22659,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))), introduced(assumption)).
% 218.52/141.08 tff(22660,plain,
% 218.52/141.08 ($false),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21107, 1977, 22659, 22658])).
% 218.52/141.08 tff(22661,plain,((~v118(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 218.52/141.08 tff(22662,plain,
% 218.52/141.08 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22661, 22657])).
% 218.52/141.08 tff(22663,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 2) <=> b110(2)))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22664,plain,
% 218.52/141.08 (($false | $false | (v124(constB9, 2) <=> b110(2))) <=> (v124(constB9, 2) <=> b110(2))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22665,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b110(2))) <=> ($false | $false | (v124(constB9, 2) <=> b110(2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[534, 533])).
% 218.52/141.08 tff(22666,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b110(2))) <=> (v124(constB9, 2) <=> b110(2))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22665, 22664])).
% 218.52/141.08 tff(22667,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 2) <=> b110(2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[22666])).
% 218.52/141.08 tff(22668,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 2) <=> b110(2)))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22667, 22663])).
% 218.52/141.08 tff(22669,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b110(2)))),
% 218.52/141.08 inference(quant_inst,[status(thm)],[])).
% 218.52/141.08 tff(22670,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (v124(constB9, 2) <=> b110(2))),
% 218.52/141.08 inference(modus_ponens,[status(thm)],[22669, 22668])).
% 218.52/141.08 tff(22671,plain,
% 218.52/141.08 (v124(constB9, 2) <=> b110(2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22670, 22662])).
% 218.52/141.08 tff(22672,plain,
% 218.52/141.08 ((~(v124(constB9, 2) <=> b110(2))) | v124(constB9, 2) | (~b110(2))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22673,plain,
% 218.52/141.08 ((~(v124(constB9, 2) <=> b110(2))) | v124(constB9, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22672, 1598])).
% 218.52/141.08 tff(22674,plain,
% 218.52/141.08 (v124(constB9, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22673, 22671])).
% 218.52/141.08 tff(22675,plain,
% 218.52/141.08 ((~(v121(constB9, 2) <=> v124(constB9, 2))) | v121(constB9, 2) | (~v124(constB9, 2))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22676,plain,
% 218.52/141.08 ((~(v121(constB9, 2) <=> v124(constB9, 2))) | v121(constB9, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22675, 22674])).
% 218.52/141.08 tff(22677,plain,
% 218.52/141.08 (v121(constB9, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22676, 22641])).
% 218.52/141.08 tff(22678,assumption,(~(v123(constB10, 2) <=> v121(constB9, 2))), introduced(assumption)).
% 218.52/141.08 tff(22679,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 2) <=> v121(constB9, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 2) <=> v121(constB9, 2)))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22680,plain,
% 218.52/141.08 (($false | $false | (v123(constB10, 2) <=> v121(constB9, 2))) <=> (v123(constB10, 2) <=> v121(constB9, 2))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22681,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB10, 2) <=> v121(constB9, 2))) <=> ($false | $false | (v123(constB10, 2) <=> v121(constB9, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[534, 533])).
% 218.52/141.08 tff(22682,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB10, 2) <=> v121(constB9, 2))) <=> (v123(constB10, 2) <=> v121(constB9, 2))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22681, 22680])).
% 218.52/141.08 tff(22683,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB10, 2) <=> v121(constB9, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 2) <=> v121(constB9, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[22682])).
% 218.52/141.08 tff(22684,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB10, 2) <=> v121(constB9, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 2) <=> v121(constB9, 2)))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22683, 22679])).
% 218.52/141.08 tff(22685,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB10, 2) <=> v121(constB9, 2)))),
% 218.52/141.08 inference(quant_inst,[status(thm)],[])).
% 218.52/141.08 tff(22686,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB10, B) <=> v121(constB9, B)))) | (v123(constB10, 2) <=> v121(constB9, 2))),
% 218.52/141.08 inference(modus_ponens,[status(thm)],[22685, 22684])).
% 218.52/141.08 tff(22687,plain,
% 218.52/141.08 ($false),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22686, 21005, 22678])).
% 218.52/141.08 tff(22688,plain,(v123(constB10, 2) <=> v121(constB9, 2)), inference(lemma,lemma(discharge,[]))).
% 218.52/141.08 tff(22689,plain,
% 218.52/141.08 ((~(v123(constB10, 2) <=> v121(constB9, 2))) | v123(constB10, 2) | (~v121(constB9, 2))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22690,plain,
% 218.52/141.08 (v123(constB10, 2) | (~v121(constB9, 2))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22689, 22688])).
% 218.52/141.08 tff(22691,plain,
% 218.52/141.08 ($false),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22690, 22677, 22632])).
% 218.52/141.08 tff(22692,plain,(v84(constB11, 0) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))) | (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))) | (~v84(constB9, 2))), inference(lemma,lemma(discharge,[]))).
% 218.52/141.08 tff(22693,plain,
% 218.52/141.08 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22692, 20322, 21286, 21241, 20936])).
% 218.52/141.08 tff(22694,plain,
% 218.52/141.08 (~v124(constB11, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20587, 22693])).
% 218.52/141.08 tff(22695,plain,
% 218.52/141.08 (~v121(constB11, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20048, 22694])).
% 218.52/141.08 tff(22696,plain,
% 218.52/141.08 (~v123(constB12, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20072, 22695])).
% 218.52/141.08 tff(22697,assumption,(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))), introduced(assumption)).
% 218.52/141.08 tff(22698,assumption,(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))), introduced(assumption)).
% 218.52/141.08 tff(22699,plain,
% 218.52/141.08 (v84(constB11, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21264, 22642])).
% 218.52/141.08 tff(22700,plain,
% 218.52/141.08 ((~(v84(constB13, 2) <=> v84(constB12, 2))) | (~v84(constB13, 2)) | v84(constB12, 2)),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22701,plain,
% 218.52/141.08 ((~v84(constB13, 2)) | v84(constB12, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22700, 21801])).
% 218.52/141.08 tff(22702,plain,
% 218.52/141.08 (v84(constB12, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22701, 21989])).
% 218.52/141.08 tff(22703,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 2) <=> v124(constB11, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 2) <=> v124(constB11, 2)))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22704,plain,
% 218.52/141.08 (($false | $false | (v121(constB11, 2) <=> v124(constB11, 2))) <=> (v121(constB11, 2) <=> v124(constB11, 2))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22705,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB11, 2) <=> v124(constB11, 2))) <=> ($false | $false | (v121(constB11, 2) <=> v124(constB11, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[534, 533])).
% 218.52/141.08 tff(22706,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB11, 2) <=> v124(constB11, 2))) <=> (v121(constB11, 2) <=> v124(constB11, 2))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22705, 22704])).
% 218.52/141.08 tff(22707,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB11, 2) <=> v124(constB11, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 2) <=> v124(constB11, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[22706])).
% 218.52/141.08 tff(22708,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB11, 2) <=> v124(constB11, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 2) <=> v124(constB11, 2)))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22707, 22703])).
% 218.52/141.08 tff(22709,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB11, 2) <=> v124(constB11, 2)))),
% 218.52/141.08 inference(quant_inst,[status(thm)],[])).
% 218.52/141.08 tff(22710,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 2) <=> v124(constB11, 2))),
% 218.52/141.08 inference(modus_ponens,[status(thm)],[22709, 22708])).
% 218.52/141.08 tff(22711,plain,
% 218.52/141.08 (v121(constB11, 2) <=> v124(constB11, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22710, 20036])).
% 218.52/141.08 tff(22712,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 2) <=> v121(constB11, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 2) <=> v121(constB11, 2)))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22713,plain,
% 218.52/141.08 (($false | $false | (v123(constB12, 2) <=> v121(constB11, 2))) <=> (v123(constB12, 2) <=> v121(constB11, 2))),
% 218.52/141.08 inference(rewrite,[status(thm)],[])).
% 218.52/141.08 tff(22714,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB12, 2) <=> v121(constB11, 2))) <=> ($false | $false | (v123(constB12, 2) <=> v121(constB11, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[534, 533])).
% 218.52/141.08 tff(22715,plain,
% 218.52/141.08 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB12, 2) <=> v121(constB11, 2))) <=> (v123(constB12, 2) <=> v121(constB11, 2))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22714, 22713])).
% 218.52/141.08 tff(22716,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB12, 2) <=> v121(constB11, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 2) <=> v121(constB11, 2)))),
% 218.52/141.08 inference(monotonicity,[status(thm)],[22715])).
% 218.52/141.08 tff(22717,plain,
% 218.52/141.08 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB12, 2) <=> v121(constB11, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 2) <=> v121(constB11, 2)))),
% 218.52/141.08 inference(transitivity,[status(thm)],[22716, 22712])).
% 218.52/141.08 tff(22718,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB12, 2) <=> v121(constB11, 2)))),
% 218.52/141.08 inference(quant_inst,[status(thm)],[])).
% 218.52/141.08 tff(22719,plain,
% 218.52/141.08 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 2) <=> v121(constB11, 2))),
% 218.52/141.08 inference(modus_ponens,[status(thm)],[22718, 22717])).
% 218.52/141.08 tff(22720,plain,
% 218.52/141.08 (v123(constB12, 2) <=> v121(constB11, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22719, 20060])).
% 218.52/141.08 tff(22721,plain,
% 218.52/141.08 (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20932, 21291])).
% 218.52/141.08 tff(22722,assumption,(~(v113(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))))), introduced(assumption)).
% 218.52/141.08 tff(22723,plain,
% 218.52/141.08 ($false),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20276, 597, 22722])).
% 218.52/141.08 tff(22724,plain,(v113(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.52/141.08 tff(22725,plain,
% 218.52/141.08 ((~(v113(constB11) <=> (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))))) | (~v113(constB11)) | (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)))),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22726,plain,
% 218.52/141.08 ((~v113(constB11)) | (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22725, 22724])).
% 218.52/141.08 tff(22727,plain,
% 218.52/141.08 (~v113(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22726, 22721])).
% 218.52/141.08 tff(22728,plain,
% 218.52/141.08 ((~(v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))))) | (~v118(constB11))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22621, 20340])).
% 218.52/141.08 tff(22729,plain,
% 218.52/141.08 (~v118(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22728, 20211])).
% 218.52/141.08 tff(22730,plain,
% 218.52/141.08 (v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20930, 21291])).
% 218.52/141.08 tff(22731,plain,
% 218.52/141.08 (~v115(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22626, 22730])).
% 218.52/141.08 tff(22732,plain,
% 218.52/141.08 (v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21332, 21291])).
% 218.52/141.08 tff(22733,plain,
% 218.52/141.08 ((~(v116(constB11) <=> (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))))) | (~v116(constB11))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21468, 22732])).
% 218.52/141.08 tff(22734,plain,
% 218.52/141.08 (~v116(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22733, 20459])).
% 218.52/141.08 tff(22735,plain,
% 218.52/141.08 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20624, 22734, 20600, 22731, 20457, 22729, 22727])).
% 218.52/141.08 tff(22736,plain,
% 218.52/141.08 (~v124(constB11, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20587, 22735])).
% 218.52/141.08 tff(22737,plain,
% 218.52/141.08 (~v121(constB11, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20048, 22736])).
% 218.52/141.08 tff(22738,plain,
% 218.52/141.08 (~v123(constB12, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20072, 22737])).
% 218.52/141.08 tff(22739,plain,
% 218.52/141.08 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20433, 22738, 20410])).
% 218.52/141.08 tff(22740,plain,
% 218.52/141.08 (~v94(constB12)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20232, 22739])).
% 218.52/141.08 tff(22741,plain,
% 218.52/141.08 ((~v95(constB12)) | (~v104(constB12))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20081, 22740])).
% 218.52/141.08 tff(22742,plain,
% 218.52/141.08 ((~(v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))) | v119(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20319, 21289])).
% 218.52/141.08 tff(22743,plain,
% 218.52/141.08 (v119(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22742, 20316])).
% 218.52/141.08 tff(22744,plain,
% 218.52/141.08 (v108(constB11) | v119(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20317, 22743])).
% 218.52/141.08 tff(22745,plain,
% 218.52/141.08 (v107(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20150, 22744])).
% 218.52/141.08 tff(22746,plain,
% 218.52/141.08 (~((~v107(constB11)) | (~v120(constB11)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20143, 22745])).
% 218.52/141.08 tff(22747,plain,
% 218.52/141.08 (v106(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20135, 22746])).
% 218.52/141.08 tff(22748,plain,
% 218.52/141.08 (v105(constB11) | v106(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20130, 22747])).
% 218.52/141.08 tff(22749,plain,
% 218.52/141.08 (v102(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20128, 22748])).
% 218.52/141.08 tff(22750,plain,
% 218.52/141.08 (v104(constB12)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20123, 22749])).
% 218.52/141.08 tff(22751,plain,
% 218.52/141.08 ($false),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20115, 22750, 22741])).
% 218.52/141.08 tff(22752,plain,(((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))) | (~v84(constB12, 1)) | v114(constB11) | (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.52/141.08 tff(22753,plain,
% 218.52/141.08 ((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22752, 22615, 20410, 22617])).
% 218.52/141.08 tff(22754,plain,
% 218.52/141.08 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[21720, 21711, 20599])).
% 218.52/141.08 tff(22755,plain,
% 218.52/141.08 (~v124(constB11, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20587, 22754])).
% 218.52/141.08 tff(22756,plain,
% 218.52/141.08 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20546, 22755])).
% 218.52/141.08 tff(22757,plain,
% 218.52/141.08 ((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20560, 20599])).
% 218.52/141.08 tff(22758,plain,
% 218.52/141.08 (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20288, 21712])).
% 218.52/141.08 tff(22759,plain,
% 218.52/141.08 (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20337, 22758, 20322, 22757, 20332])).
% 218.52/141.08 tff(22760,plain,
% 218.52/141.08 (v115(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20378, 22759])).
% 218.52/141.08 tff(22761,plain,
% 218.52/141.08 ($false),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20557, 22760, 22756])).
% 218.52/141.08 tff(22762,plain,((v109(constB11) | v118(constB11)) | v84(constB11, 0) | (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))) | v117(constB11)), inference(lemma,lemma(discharge,[]))).
% 218.52/141.08 tff(22763,plain,
% 218.52/141.08 (v109(constB11) | v118(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22762, 20322, 22753, 20457])).
% 218.52/141.08 tff(22764,plain,
% 218.52/141.08 (v108(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20159, 22763])).
% 218.52/141.08 tff(22765,plain,
% 218.52/141.08 (v108(constB11) | v119(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20152, 22764])).
% 218.52/141.08 tff(22766,plain,
% 218.52/141.08 (v107(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20150, 22765])).
% 218.52/141.08 tff(22767,plain,
% 218.52/141.08 (~((~v107(constB11)) | (~v120(constB11)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20143, 22766])).
% 218.52/141.08 tff(22768,plain,
% 218.52/141.08 (v106(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20135, 22767])).
% 218.52/141.08 tff(22769,plain,
% 218.52/141.08 (v105(constB11) | v106(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20130, 22768])).
% 218.52/141.08 tff(22770,plain,
% 218.52/141.08 (v102(constB11)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20128, 22769])).
% 218.52/141.08 tff(22771,plain,
% 218.52/141.08 (v104(constB12)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20123, 22770])).
% 218.52/141.08 tff(22772,plain,
% 218.52/141.08 (~((~v95(constB12)) | (~v104(constB12)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20115, 22771])).
% 218.52/141.08 tff(22773,plain,
% 218.52/141.08 (v94(constB12)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20081, 22772])).
% 218.52/141.08 tff(22774,plain,
% 218.52/141.08 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20232, 22773])).
% 218.52/141.08 tff(22775,plain,
% 218.52/141.08 (v84(constB12, 2) <=> v123(constB12, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[20648, 22774])).
% 218.52/141.08 tff(22776,assumption,(v84(constB12, 2)), introduced(assumption)).
% 218.52/141.08 tff(22777,plain,
% 218.52/141.08 ((~(v84(constB12, 2) <=> v123(constB12, 2))) | (~v84(constB12, 2)) | v123(constB12, 2)),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22778,plain,
% 218.52/141.08 ((~(v84(constB12, 2) <=> v123(constB12, 2))) | v123(constB12, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22777, 22776])).
% 218.52/141.08 tff(22779,plain,
% 218.52/141.08 (v123(constB12, 2)),
% 218.52/141.08 inference(unit_resolution,[status(thm)],[22778, 22775])).
% 218.52/141.08 tff(22780,plain,
% 218.52/141.08 ((~(v123(constB12, 2) <=> v121(constB11, 2))) | (~v123(constB12, 2)) | v121(constB11, 2)),
% 218.52/141.08 inference(tautology,[status(thm)],[])).
% 218.52/141.08 tff(22781,plain,
% 218.52/141.08 ((~(v123(constB12, 2) <=> v121(constB11, 2))) | v121(constB11, 2)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[22780, 22779])).
% 218.54/141.08 tff(22782,plain,
% 218.54/141.08 (v121(constB11, 2)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[22781, 22720])).
% 218.54/141.08 tff(22783,plain,
% 218.54/141.08 ((~(v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))))) | (~v118(constB11))),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[22621, 22617])).
% 218.54/141.08 tff(22784,plain,
% 218.54/141.08 (~v118(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[22783, 20211])).
% 218.54/141.08 tff(22785,plain,
% 218.54/141.08 (v123(constB12, 1)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20433, 22774, 20410])).
% 218.54/141.08 tff(22786,plain,
% 218.54/141.08 (v121(constB11, 1)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20072, 22785])).
% 218.54/141.08 tff(22787,plain,
% 218.54/141.08 (v124(constB11, 1)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20048, 22786])).
% 218.54/141.08 tff(22788,plain,
% 218.54/141.08 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20587, 22787])).
% 218.54/141.08 tff(22789,plain,
% 218.54/141.08 (v111(constB11) | v116(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20627, 20599, 20601, 20600, 20612])).
% 218.54/141.08 tff(22790,plain,
% 218.54/141.08 (v110(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20388, 22789])).
% 218.54/141.08 tff(22791,plain,
% 218.54/141.08 (v110(constB11) | v117(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20193, 22790])).
% 218.54/141.08 tff(22792,plain,
% 218.54/141.08 (v109(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20382, 22791])).
% 218.54/141.08 tff(22793,plain,
% 218.54/141.08 (v109(constB11) | v118(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20161, 22792])).
% 218.54/141.08 tff(22794,plain,
% 218.54/141.08 (v108(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20159, 22793])).
% 218.54/141.08 tff(22795,plain,
% 218.54/141.08 (v108(constB11) | v119(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20152, 22794])).
% 218.54/141.08 tff(22796,plain,
% 218.54/141.08 (v107(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20150, 22795])).
% 218.54/141.08 tff(22797,plain,
% 218.54/141.08 (~((~v107(constB11)) | (~v120(constB11)))),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20143, 22796])).
% 218.54/141.08 tff(22798,plain,
% 218.54/141.08 (v106(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20135, 22797])).
% 218.54/141.08 tff(22799,plain,
% 218.54/141.08 (v105(constB11) | v106(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20130, 22798])).
% 218.54/141.08 tff(22800,plain,
% 218.54/141.08 (v102(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20128, 22799])).
% 218.54/141.08 tff(22801,plain,
% 218.54/141.08 (v104(constB12)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20123, 22800])).
% 218.54/141.08 tff(22802,plain,
% 218.54/141.08 (~((~v95(constB12)) | (~v104(constB12)))),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20115, 22801])).
% 218.54/141.08 tff(22803,plain,
% 218.54/141.08 (v94(constB12)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20081, 22802])).
% 218.54/141.08 tff(22804,plain,
% 218.54/141.08 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20232, 22803])).
% 218.54/141.08 tff(22805,plain,
% 218.54/141.08 (v123(constB12, 1)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20433, 22804, 20410])).
% 218.54/141.08 tff(22806,plain,
% 218.54/141.08 (v121(constB11, 1)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20072, 22805])).
% 218.54/141.08 tff(22807,plain,
% 218.54/141.08 (v124(constB11, 1)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20048, 22806])).
% 218.54/141.08 tff(22808,plain,
% 218.54/141.08 ((~(v124(constB11, 1) <=> b100(1))) | (~v124(constB11, 1)) | b100(1)),
% 218.54/141.08 inference(tautology,[status(thm)],[])).
% 218.54/141.08 tff(22809,plain,
% 218.54/141.08 (~(v124(constB11, 1) <=> b100(1))),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[22808, 2274, 22807])).
% 218.54/141.08 tff(22810,assumption,(~v115(constB11)), introduced(assumption)).
% 218.54/141.08 tff(22811,plain,
% 218.54/141.08 (v116(constB11)),
% 218.54/141.08 inference(unit_resolution,[status(thm)],[20624, 20599, 20612, 22810, 20611, 20600, 20601])).
% 218.54/141.08 tff(22812,plain,
% 218.54/141.08 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B))))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(22813,plain,
% 218.54/141.09 (((~v116(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B))))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(22814,plain,
% 218.54/141.09 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[22813])).
% 218.54/141.09 tff(22815,plain,
% 218.54/141.09 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B))))),
% 218.54/141.09 inference(transitivity,[status(thm)],[22814, 22812])).
% 218.54/141.09 tff(22816,plain,
% 218.54/141.09 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.54/141.09 inference(quant_inst,[status(thm)],[])).
% 218.54/141.09 tff(22817,plain,
% 218.54/141.09 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))),
% 218.54/141.09 inference(modus_ponens,[status(thm)],[22816, 22815])).
% 218.54/141.09 tff(22818,plain,
% 218.54/141.09 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22817, 2230, 22811])).
% 218.54/141.09 tff(22819,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 1) <=> b100(1)))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(22820,plain,
% 218.54/141.09 (($false | $false | (v124(constB11, 1) <=> b100(1))) <=> (v124(constB11, 1) <=> b100(1))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(22821,plain,
% 218.54/141.09 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b100(1))) <=> ($false | $false | (v124(constB11, 1) <=> b100(1)))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[402, 401])).
% 218.54/141.09 tff(22822,plain,
% 218.54/141.09 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b100(1))) <=> (v124(constB11, 1) <=> b100(1))),
% 218.54/141.09 inference(transitivity,[status(thm)],[22821, 22820])).
% 218.54/141.09 tff(22823,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 1) <=> b100(1)))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[22822])).
% 218.54/141.09 tff(22824,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 1) <=> b100(1)))),
% 218.54/141.09 inference(transitivity,[status(thm)],[22823, 22819])).
% 218.54/141.09 tff(22825,plain,
% 218.54/141.09 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b100(1)))),
% 218.54/141.09 inference(quant_inst,[status(thm)],[])).
% 218.54/141.09 tff(22826,plain,
% 218.54/141.09 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 1) <=> b100(1))),
% 218.54/141.09 inference(modus_ponens,[status(thm)],[22825, 22824])).
% 218.54/141.09 tff(22827,plain,
% 218.54/141.09 ($false),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22826, 22818, 22809])).
% 218.54/141.09 tff(22828,plain,(v117(constB11) | (~v84(constB12, 1)) | v118(constB11) | v115(constB11) | v114(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.09 tff(22829,plain,
% 218.54/141.09 (v115(constB11)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22828, 22788, 20410, 22615, 22784, 20457])).
% 218.54/141.09 tff(22830,plain,
% 218.54/141.09 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[20557, 22829])).
% 218.54/141.09 tff(22831,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | (v124(constB11, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | (v124(constB11, 2) <=> b011(2)))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(22832,plain,
% 218.54/141.09 (($false | $false | (v124(constB11, 2) <=> b011(2))) <=> (v124(constB11, 2) <=> b011(2))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(22833,plain,
% 218.54/141.09 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b011(2))) <=> ($false | $false | (v124(constB11, 2) <=> b011(2)))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[534, 533])).
% 218.54/141.09 tff(22834,plain,
% 218.54/141.09 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b011(2))) <=> (v124(constB11, 2) <=> b011(2))),
% 218.54/141.09 inference(transitivity,[status(thm)],[22833, 22832])).
% 218.54/141.09 tff(22835,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | (v124(constB11, 2) <=> b011(2)))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[22834])).
% 218.54/141.09 tff(22836,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | (v124(constB11, 2) <=> b011(2)))),
% 218.54/141.09 inference(transitivity,[status(thm)],[22835, 22831])).
% 218.54/141.09 tff(22837,plain,
% 218.54/141.09 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b011(2)))),
% 218.54/141.09 inference(quant_inst,[status(thm)],[])).
% 218.54/141.09 tff(22838,plain,
% 218.54/141.09 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))) | (v124(constB11, 2) <=> b011(2))),
% 218.54/141.09 inference(modus_ponens,[status(thm)],[22837, 22836])).
% 218.54/141.09 tff(22839,plain,
% 218.54/141.09 (v124(constB11, 2) <=> b011(2)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22838, 22830])).
% 218.54/141.09 tff(22840,plain,
% 218.54/141.09 ((~(v124(constB11, 2) <=> b011(2))) | (~v124(constB11, 2)) | b011(2)),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22841,plain,
% 218.54/141.09 ((~(v124(constB11, 2) <=> b011(2))) | (~v124(constB11, 2))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22840, 2569])).
% 218.54/141.09 tff(22842,plain,
% 218.54/141.09 (~v124(constB11, 2)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22841, 22839])).
% 218.54/141.09 tff(22843,plain,
% 218.54/141.09 ((~(v121(constB11, 2) <=> v124(constB11, 2))) | (~v121(constB11, 2)) | v124(constB11, 2)),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22844,plain,
% 218.54/141.09 ((~(v121(constB11, 2) <=> v124(constB11, 2))) | (~v121(constB11, 2))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22843, 22842])).
% 218.54/141.09 tff(22845,plain,
% 218.54/141.09 ($false),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22844, 22782, 22711])).
% 218.54/141.09 tff(22846,plain,(v84(constB11, 0) | (~v84(constB12, 2)) | (~v84(constB12, 1))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.09 tff(22847,plain,
% 218.54/141.09 (~v84(constB12, 1)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22846, 22702, 20322])).
% 218.54/141.09 tff(22848,plain,
% 218.54/141.09 ((~(v84(constB13, 1) <=> v84(constB12, 1))) | (~v84(constB13, 1)) | v84(constB12, 1)),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22849,plain,
% 218.54/141.09 ((~v84(constB13, 1)) | v84(constB12, 1)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22848, 21838])).
% 218.54/141.09 tff(22850,plain,
% 218.54/141.09 (~v84(constB13, 1)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22849, 22847])).
% 218.54/141.09 tff(22851,assumption,(~v84(constB13, 1)), introduced(assumption)).
% 218.54/141.09 tff(22852,assumption,(~(v108(constB13) | v119(constB13))), introduced(assumption)).
% 218.54/141.09 tff(22853,assumption,(~v84(constB13, 0)), introduced(assumption)).
% 218.54/141.09 tff(22854,plain,
% 218.54/141.09 ((v108(constB13) | v119(constB13)) | (~v119(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22855,plain,
% 218.54/141.09 (~v119(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22854, 22852])).
% 218.54/141.09 tff(22856,plain,
% 218.54/141.09 ((~(v119(constB13) <=> (~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0))))) | v119(constB13) | ((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22857,plain,
% 218.54/141.09 ((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22856, 22855, 21708])).
% 218.54/141.09 tff(22858,plain,
% 218.54/141.09 ((~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0))) | (~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0)),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22859,plain,
% 218.54/141.09 ((~((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0))) | (~v84(constB13, 1)) | v84(constB13, 0)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22858, 21989])).
% 218.54/141.09 tff(22860,plain,
% 218.54/141.09 (~v84(constB13, 1)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22859, 22857, 22853])).
% 218.54/141.09 tff(22861,plain,
% 218.54/141.09 ((~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))) | (~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22862,plain,
% 218.54/141.09 ((~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))) | v84(constB13, 1) | v84(constB13, 0)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22861, 21989])).
% 218.54/141.09 tff(22863,plain,
% 218.54/141.09 (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22862, 22860, 22853])).
% 218.54/141.09 tff(22864,plain,
% 218.54/141.09 ((v108(constB13) | v119(constB13)) | (~v108(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22865,plain,
% 218.54/141.09 (~v108(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22864, 22852])).
% 218.54/141.09 tff(22866,plain,
% 218.54/141.09 ((~(v108(constB13) <=> (v109(constB13) | v118(constB13)))) | v108(constB13) | (~(v109(constB13) | v118(constB13)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22867,plain,
% 218.54/141.09 (~(v109(constB13) | v118(constB13))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22866, 22865, 21778])).
% 218.54/141.09 tff(22868,plain,
% 218.54/141.09 ((v109(constB13) | v118(constB13)) | (~v109(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22869,plain,
% 218.54/141.09 (~v109(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22868, 22867])).
% 218.54/141.09 tff(22870,plain,
% 218.54/141.09 ((~(v109(constB13) <=> (v110(constB13) | v117(constB13)))) | v109(constB13) | (~(v110(constB13) | v117(constB13)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22871,plain,
% 218.54/141.09 (~(v110(constB13) | v117(constB13))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22870, 22869, 21780])).
% 218.54/141.09 tff(22872,plain,
% 218.54/141.09 ((v110(constB13) | v117(constB13)) | (~v117(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22873,plain,
% 218.54/141.09 (~v117(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22872, 22871])).
% 218.54/141.09 tff(22874,plain,
% 218.54/141.09 ((~(v117(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))))) | v117(constB13) | ((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22875,plain,
% 218.54/141.09 ($false),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22874, 22873, 22863, 21877])).
% 218.54/141.09 tff(22876,plain,((v108(constB13) | v119(constB13)) | v84(constB13, 0) | (~v84(constB13, 2))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.09 tff(22877,plain,
% 218.54/141.09 (v84(constB13, 0)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22876, 22852, 21989])).
% 218.54/141.09 tff(22878,plain,
% 218.54/141.09 ((~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))) | (~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22879,plain,
% 218.54/141.09 ((~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))) | (~v84(constB13, 2)) | (~v84(constB13, 0))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22878, 22851])).
% 218.54/141.09 tff(22880,plain,
% 218.54/141.09 (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22879, 22877, 21989])).
% 218.54/141.09 tff(22881,plain,
% 218.54/141.09 ((v109(constB13) | v118(constB13)) | (~v118(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22882,plain,
% 218.54/141.09 (~v118(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22881, 22867])).
% 218.54/141.09 tff(22883,plain,
% 218.54/141.09 ((~(v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))))) | v118(constB13) | ((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22884,plain,
% 218.54/141.09 ($false),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22883, 22882, 22880, 21894])).
% 218.54/141.09 tff(22885,plain,((v108(constB13) | v119(constB13)) | (~v84(constB13, 2)) | v84(constB13, 1)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.09 tff(22886,plain,
% 218.54/141.09 (~v84(constB13, 2)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22885, 22852, 22851])).
% 218.54/141.09 tff(22887,assumption,(~(v111(constB13) | v116(constB13))), introduced(assumption)).
% 218.54/141.09 tff(22888,plain,
% 218.54/141.09 ((v111(constB13) | v116(constB13)) | (~v111(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22889,plain,
% 218.54/141.09 (~v111(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22888, 22887])).
% 218.54/141.09 tff(22890,plain,
% 218.54/141.09 ((~(v111(constB13) <=> (v112(constB13) | v115(constB13)))) | v111(constB13) | (~(v112(constB13) | v115(constB13)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22891,plain,
% 218.54/141.09 ((~(v111(constB13) <=> (v112(constB13) | v115(constB13)))) | (~(v112(constB13) | v115(constB13)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22890, 22889])).
% 218.54/141.09 tff(22892,plain,
% 218.54/141.09 (~(v112(constB13) | v115(constB13))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22891, 21811])).
% 218.54/141.09 tff(22893,assumption,(~v84(constB13, 2)), introduced(assumption)).
% 218.54/141.09 tff(22894,plain,
% 218.54/141.09 (v114(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[21845, 298])).
% 218.54/141.09 tff(22895,assumption,(v84(constB13, 0)), introduced(assumption)).
% 218.54/141.09 tff(22896,plain,
% 218.54/141.09 ((v111(constB13) | v116(constB13)) | (~v116(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22897,plain,
% 218.54/141.09 (~v116(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22896, 22887])).
% 218.54/141.09 tff(22898,plain,
% 218.54/141.09 ((~(v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))))) | v116(constB13) | ((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22899,plain,
% 218.54/141.09 ((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22898, 22897, 21789])).
% 218.54/141.09 tff(22900,plain,
% 218.54/141.09 ((~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))) | (~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22901,plain,
% 218.54/141.09 ((~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))) | (~v84(constB13, 1)) | v84(constB13, 2)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22900, 22895])).
% 218.54/141.09 tff(22902,plain,
% 218.54/141.09 (~v84(constB13, 1)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22901, 22899, 22893])).
% 218.54/141.09 tff(22903,plain,
% 218.54/141.09 ((~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))) | v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22904,plain,
% 218.54/141.09 (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22903, 22902, 22895, 22893])).
% 218.54/141.09 tff(22905,plain,
% 218.54/141.09 (~(v112(constB13) | v115(constB13))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22890, 22889, 21811])).
% 218.54/141.09 tff(22906,plain,
% 218.54/141.09 ((v112(constB13) | v115(constB13)) | (~v112(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22907,plain,
% 218.54/141.09 (~v112(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22906, 22905])).
% 218.54/141.09 tff(22908,plain,
% 218.54/141.09 ((~(v112(constB13) <=> (v113(constB13) | v114(constB13)))) | v112(constB13) | (~(v113(constB13) | v114(constB13)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22909,plain,
% 218.54/141.09 (~(v113(constB13) | v114(constB13))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22908, 22907, 21827])).
% 218.54/141.09 tff(22910,plain,
% 218.54/141.09 ((v113(constB13) | v114(constB13)) | (~v114(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22911,plain,
% 218.54/141.09 (~v114(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22910, 22909])).
% 218.54/141.09 tff(22912,plain,
% 218.54/141.09 ((~(v114(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))))) | v114(constB13) | (v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22913,plain,
% 218.54/141.09 ($false),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22912, 22911, 22904, 22894])).
% 218.54/141.09 tff(22914,plain,((v111(constB13) | v116(constB13)) | (~v84(constB13, 0)) | v84(constB13, 2)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.09 tff(22915,plain,
% 218.54/141.09 (~v84(constB13, 0)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22914, 22893, 22887])).
% 218.54/141.09 tff(22916,plain,
% 218.54/141.09 (v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[21820, 622])).
% 218.54/141.09 tff(22917,assumption,(~(v112(constB13) | v115(constB13))), introduced(assumption)).
% 218.54/141.09 tff(22918,plain,
% 218.54/141.09 ((v112(constB13) | v115(constB13)) | (~v115(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22919,plain,
% 218.54/141.09 (~v115(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22918, 22917])).
% 218.54/141.09 tff(22920,plain,
% 218.54/141.09 ((~(v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))))) | v115(constB13) | ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22921,plain,
% 218.54/141.09 ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22920, 22919, 22916])).
% 218.54/141.09 tff(22922,plain,
% 218.54/141.09 ((~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))) | (~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22923,plain,
% 218.54/141.09 ((~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))) | (~v84(constB13, 1)) | v84(constB13, 2)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22922, 22853])).
% 218.54/141.09 tff(22924,plain,
% 218.54/141.09 (~v84(constB13, 1)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22923, 22921, 22893])).
% 218.54/141.09 tff(22925,plain,
% 218.54/141.09 (~v112(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22906, 22917])).
% 218.54/141.09 tff(22926,plain,
% 218.54/141.09 (~(v113(constB13) | v114(constB13))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22908, 22925, 21827])).
% 218.54/141.09 tff(22927,plain,
% 218.54/141.09 ((v113(constB13) | v114(constB13)) | (~v113(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22928,plain,
% 218.54/141.09 (~v113(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22927, 22926])).
% 218.54/141.09 tff(22929,plain,
% 218.54/141.09 ((~(v113(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))))) | v113(constB13) | (v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22930,plain,
% 218.54/141.09 (v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22929, 22928, 21852])).
% 218.54/141.09 tff(22931,plain,
% 218.54/141.09 ((~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))) | v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22932,plain,
% 218.54/141.09 ((~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))) | v84(constB13, 1) | v84(constB13, 2)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22931, 22853])).
% 218.54/141.09 tff(22933,plain,
% 218.54/141.09 ($false),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22932, 22930, 22924, 22893])).
% 218.54/141.09 tff(22934,plain,((v112(constB13) | v115(constB13)) | v84(constB13, 2) | v84(constB13, 0)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.09 tff(22935,plain,
% 218.54/141.09 ($false),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22934, 22915, 22893, 22892])).
% 218.54/141.09 tff(22936,plain,(v84(constB13, 2) | (v111(constB13) | v116(constB13))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.09 tff(22937,plain,
% 218.54/141.09 (v111(constB13) | v116(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22936, 22886])).
% 218.54/141.09 tff(22938,plain,
% 218.54/141.09 ((~(v110(constB13) <=> (v111(constB13) | v116(constB13)))) | v110(constB13) | (~(v111(constB13) | v116(constB13)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22939,plain,
% 218.54/141.09 (v110(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22938, 22937, 21782])).
% 218.54/141.09 tff(22940,plain,
% 218.54/141.09 ((v110(constB13) | v117(constB13)) | (~v110(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22941,plain,
% 218.54/141.09 ($false),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22940, 22871, 22939])).
% 218.54/141.09 tff(22942,plain,((v108(constB13) | v119(constB13)) | v84(constB13, 1)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.09 tff(22943,plain,
% 218.54/141.09 (v108(constB13) | v119(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22942, 22851])).
% 218.54/141.09 tff(22944,plain,
% 218.54/141.09 ((~(v107(constB13) <=> (v108(constB13) | v119(constB13)))) | v107(constB13) | (~(v108(constB13) | v119(constB13)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22945,plain,
% 218.54/141.09 ((~(v107(constB13) <=> (v108(constB13) | v119(constB13)))) | v107(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22944, 22943])).
% 218.54/141.09 tff(22946,plain,
% 218.54/141.09 (v107(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22945, 21701])).
% 218.54/141.09 tff(22947,plain,
% 218.54/141.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB13)) <=> v105(constB13))),
% 218.54/141.09 inference(quant_inst,[status(thm)],[])).
% 218.54/141.09 tff(22948,plain,
% 218.54/141.09 ((~v120(constB13)) <=> v105(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22947, 144])).
% 218.54/141.09 tff(22949,plain,
% 218.54/141.09 ((~((~v120(constB13)) <=> v105(constB13))) | v120(constB13) | v105(constB13)),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22950,plain,
% 218.54/141.09 ((~((~v120(constB13)) <=> v105(constB13))) | v120(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22949, 21922])).
% 218.54/141.09 tff(22951,plain,
% 218.54/141.09 (v120(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22950, 22948])).
% 218.54/141.09 tff(22952,plain,
% 218.54/141.09 ((~((~v107(constB13)) | (~v120(constB13)))) | (~v107(constB13)) | (~v120(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22953,plain,
% 218.54/141.09 ((~((~v107(constB13)) | (~v120(constB13)))) | (~v107(constB13))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22952, 22951])).
% 218.54/141.09 tff(22954,plain,
% 218.54/141.09 (~((~v107(constB13)) | (~v120(constB13)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22953, 22946])).
% 218.54/141.09 tff(22955,plain,
% 218.54/141.09 ((~(v106(constB13) <=> (~((~v107(constB13)) | (~v120(constB13)))))) | v106(constB13) | ((~v107(constB13)) | (~v120(constB13)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22956,plain,
% 218.54/141.09 (v106(constB13) | ((~v107(constB13)) | (~v120(constB13)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22955, 21912])).
% 218.54/141.09 tff(22957,plain,
% 218.54/141.09 (v106(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22956, 22954])).
% 218.54/141.09 tff(22958,plain,
% 218.54/141.09 ((v105(constB13) | v106(constB13)) | (~v106(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22959,plain,
% 218.54/141.09 (v105(constB13) | v106(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22958, 22957])).
% 218.54/141.09 tff(22960,plain,
% 218.54/141.09 ((~(v102(constB13) <=> (v105(constB13) | v106(constB13)))) | v102(constB13) | (~(v105(constB13) | v106(constB13)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22961,plain,
% 218.54/141.09 (v102(constB13) | (~(v105(constB13) | v106(constB13)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22960, 21927])).
% 218.54/141.09 tff(22962,plain,
% 218.54/141.09 (v102(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22961, 22959])).
% 218.54/141.09 tff(22963,plain,
% 218.54/141.09 ((~(v104(constB14) <=> v102(constB13))) | v104(constB14) | (~v102(constB13))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22964,plain,
% 218.54/141.09 (v104(constB14) | (~v102(constB13))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22963, 21937])).
% 218.54/141.09 tff(22965,plain,
% 218.54/141.09 (v104(constB14)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22964, 22962])).
% 218.54/141.09 tff(22966,plain,
% 218.54/141.09 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(22967,plain,
% 218.54/141.09 (((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14)))))) <=> ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(22968,plain,
% 218.54/141.09 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14)))))))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[22967])).
% 218.54/141.09 tff(22969,plain,
% 218.54/141.09 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))),
% 218.54/141.09 inference(transitivity,[status(thm)],[22968, 22966])).
% 218.54/141.09 tff(22970,plain,
% 218.54/141.09 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14))))))),
% 218.54/141.09 inference(quant_inst,[status(thm)],[])).
% 218.54/141.09 tff(22971,plain,
% 218.54/141.09 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14)))))),
% 218.54/141.09 inference(modus_ponens,[status(thm)],[22970, 22969])).
% 218.54/141.09 tff(22972,plain,
% 218.54/141.09 (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22971, 21933, 37])).
% 218.54/141.09 tff(22973,plain,
% 218.54/141.09 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14)))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(22974,plain,
% 218.54/141.09 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14)))),
% 218.54/141.09 inference(quant_inst,[status(thm)],[])).
% 218.54/141.09 tff(22975,plain,
% 218.54/141.09 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14))),
% 218.54/141.09 inference(modus_ponens,[status(thm)],[22974, 22973])).
% 218.54/141.09 tff(22976,plain,
% 218.54/141.09 ((~v96(constB14)) <=> v98(constB14)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22975, 21933, 54])).
% 218.54/141.09 tff(22977,plain,
% 218.54/141.09 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13)))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(22978,plain,
% 218.54/141.09 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13)))),
% 218.54/141.09 inference(quant_inst,[status(thm)],[])).
% 218.54/141.09 tff(22979,plain,
% 218.54/141.09 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13))),
% 218.54/141.09 inference(modus_ponens,[status(thm)],[22978, 22977])).
% 218.54/141.09 tff(22980,plain,
% 218.54/141.09 (v98(constB14) <=> v1(constB13)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22979, 21933, 68])).
% 218.54/141.09 tff(22981,plain,
% 218.54/141.09 ((~(v98(constB14) <=> v1(constB13))) | (~v98(constB14)) | v1(constB13)),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22982,plain,
% 218.54/141.09 ((~(v98(constB14) <=> v1(constB13))) | (~v98(constB14))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22981, 21741])).
% 218.54/141.09 tff(22983,plain,
% 218.54/141.09 (~v98(constB14)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22982, 22980])).
% 218.54/141.09 tff(22984,plain,
% 218.54/141.09 ((~((~v96(constB14)) <=> v98(constB14))) | v96(constB14) | v98(constB14)),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22985,plain,
% 218.54/141.09 (v96(constB14)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22984, 22983, 22976])).
% 218.54/141.09 tff(22986,plain,
% 218.54/141.09 (v1(constB14) <=> v1(constB14)),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(22987,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14')).
% 218.54/141.09 tff(22988,plain,
% 218.54/141.09 (v1(constB14)),
% 218.54/141.09 inference(modus_ponens,[status(thm)],[22987, 22986])).
% 218.54/141.09 tff(22989,plain,
% 218.54/141.09 ((~((~v1(constB14)) | (~v96(constB14)))) | (~v1(constB14)) | (~v96(constB14))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22990,plain,
% 218.54/141.09 ((~((~v1(constB14)) | (~v96(constB14)))) | (~v96(constB14))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22989, 22988])).
% 218.54/141.09 tff(22991,plain,
% 218.54/141.09 (~((~v1(constB14)) | (~v96(constB14)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22990, 22985])).
% 218.54/141.09 tff(22992,plain,
% 218.54/141.09 ((~(v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14)))))) | v95(constB14) | ((~v1(constB14)) | (~v96(constB14)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22993,plain,
% 218.54/141.09 (v95(constB14)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22992, 22991, 22972])).
% 218.54/141.09 tff(22994,plain,
% 218.54/141.09 ((~((~v95(constB14)) | (~v104(constB14)))) | (~v95(constB14)) | (~v104(constB14))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22995,plain,
% 218.54/141.09 ((~((~v95(constB14)) | (~v104(constB14)))) | (~v104(constB14))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22994, 22993])).
% 218.54/141.09 tff(22996,plain,
% 218.54/141.09 (~((~v95(constB14)) | (~v104(constB14)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22995, 22965])).
% 218.54/141.09 tff(22997,plain,
% 218.54/141.09 ((~(v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14)))))) | v94(constB14) | ((~v95(constB14)) | (~v104(constB14)))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(22998,plain,
% 218.54/141.09 (v94(constB14) | ((~v95(constB14)) | (~v104(constB14)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22997, 21946])).
% 218.54/141.09 tff(22999,plain,
% 218.54/141.09 (v94(constB14)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[22998, 22996])).
% 218.54/141.09 tff(23000,plain,
% 218.54/141.09 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B))))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(23001,plain,
% 218.54/141.09 (((~v94(constB14)) | ![B: $int] : ((v84(constB14, B) <=> v123(constB14, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B))))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(23002,plain,
% 218.54/141.09 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB14)) | ![B: $int] : ((v84(constB14, B) <=> v123(constB14, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[23001])).
% 218.54/141.09 tff(23003,plain,
% 218.54/141.09 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB14)) | ![B: $int] : ((v84(constB14, B) <=> v123(constB14, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B))))),
% 218.54/141.09 inference(transitivity,[status(thm)],[23002, 23000])).
% 218.54/141.09 tff(23004,plain,
% 218.54/141.09 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB14)) | ![B: $int] : ((v84(constB14, B) <=> v123(constB14, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.54/141.09 inference(quant_inst,[status(thm)],[])).
% 218.54/141.09 tff(23005,plain,
% 218.54/141.09 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 218.54/141.09 inference(modus_ponens,[status(thm)],[23004, 23003])).
% 218.54/141.09 tff(23006,plain,
% 218.54/141.09 ((~v94(constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[23005, 1491])).
% 218.54/141.09 tff(23007,plain,
% 218.54/141.09 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[23006, 22999])).
% 218.54/141.09 tff(23008,assumption,(~(v84(constB14, 2) <=> v123(constB14, 2))), introduced(assumption)).
% 218.54/141.09 tff(23009,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))), introduced(assumption)).
% 218.54/141.09 tff(23010,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 2) <=> v123(constB14, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 2) <=> v123(constB14, 2)))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(23011,plain,
% 218.54/141.09 (($false | $false | (v84(constB14, 2) <=> v123(constB14, 2))) <=> (v84(constB14, 2) <=> v123(constB14, 2))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(23012,plain,
% 218.54/141.09 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB14, 2) <=> v123(constB14, 2))) <=> ($false | $false | (v84(constB14, 2) <=> v123(constB14, 2)))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[534, 533])).
% 218.54/141.09 tff(23013,plain,
% 218.54/141.09 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB14, 2) <=> v123(constB14, 2))) <=> (v84(constB14, 2) <=> v123(constB14, 2))),
% 218.54/141.09 inference(transitivity,[status(thm)],[23012, 23011])).
% 218.54/141.09 tff(23014,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB14, 2) <=> v123(constB14, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 2) <=> v123(constB14, 2)))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[23013])).
% 218.54/141.09 tff(23015,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB14, 2) <=> v123(constB14, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 2) <=> v123(constB14, 2)))),
% 218.54/141.09 inference(transitivity,[status(thm)],[23014, 23010])).
% 218.54/141.09 tff(23016,plain,
% 218.54/141.09 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB14, 2) <=> v123(constB14, 2)))),
% 218.54/141.09 inference(quant_inst,[status(thm)],[])).
% 218.54/141.09 tff(23017,plain,
% 218.54/141.09 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 2) <=> v123(constB14, 2))),
% 218.54/141.09 inference(modus_ponens,[status(thm)],[23016, 23015])).
% 218.54/141.09 tff(23018,plain,
% 218.54/141.09 ($false),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[23017, 23009, 23008])).
% 218.54/141.09 tff(23019,plain,((v84(constB14, 2) <=> v123(constB14, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B))))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.09 tff(23020,plain,
% 218.54/141.09 (v84(constB14, 2) <=> v123(constB14, 2)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[23019, 23007])).
% 218.54/141.09 tff(23021,plain,
% 218.54/141.09 ((~(v84(constB14, 2) <=> v123(constB14, 2))) | v84(constB14, 2) | (~v123(constB14, 2))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(23022,plain,
% 218.54/141.09 (~v123(constB14, 2)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[23021, 21990, 23020])).
% 218.54/141.09 tff(23023,assumption,(~(v123(constB14, 2) <=> v121(constB13, 2))), introduced(assumption)).
% 218.54/141.09 tff(23024,plain,
% 218.54/141.09 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B))))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(23025,plain,
% 218.54/141.09 (((~nextState(constB13, constB14)) | ![B: $int] : ((v123(constB14, B) <=> v121(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B))))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(23026,plain,
% 218.54/141.09 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB13, constB14)) | ![B: $int] : ((v123(constB14, B) <=> v121(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[23025])).
% 218.54/141.09 tff(23027,plain,
% 218.54/141.09 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB13, constB14)) | ![B: $int] : ((v123(constB14, B) <=> v121(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B))))),
% 218.54/141.09 inference(transitivity,[status(thm)],[23026, 23024])).
% 218.54/141.09 tff(23028,plain,
% 218.54/141.09 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB13, constB14)) | ![B: $int] : ((v123(constB14, B) <=> v121(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.54/141.09 inference(quant_inst,[status(thm)],[])).
% 218.54/141.09 tff(23029,plain,
% 218.54/141.09 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB13, constB14)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))),
% 218.54/141.09 inference(modus_ponens,[status(thm)],[23028, 23027])).
% 218.54/141.09 tff(23030,plain,
% 218.54/141.09 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[23029, 21933, 1527])).
% 218.54/141.09 tff(23031,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 2) <=> v121(constB13, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 2) <=> v121(constB13, 2)))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(23032,plain,
% 218.54/141.09 (($false | $false | (v123(constB14, 2) <=> v121(constB13, 2))) <=> (v123(constB14, 2) <=> v121(constB13, 2))),
% 218.54/141.09 inference(rewrite,[status(thm)],[])).
% 218.54/141.09 tff(23033,plain,
% 218.54/141.09 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB14, 2) <=> v121(constB13, 2))) <=> ($false | $false | (v123(constB14, 2) <=> v121(constB13, 2)))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[534, 533])).
% 218.54/141.09 tff(23034,plain,
% 218.54/141.09 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB14, 2) <=> v121(constB13, 2))) <=> (v123(constB14, 2) <=> v121(constB13, 2))),
% 218.54/141.09 inference(transitivity,[status(thm)],[23033, 23032])).
% 218.54/141.09 tff(23035,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB14, 2) <=> v121(constB13, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 2) <=> v121(constB13, 2)))),
% 218.54/141.09 inference(monotonicity,[status(thm)],[23034])).
% 218.54/141.09 tff(23036,plain,
% 218.54/141.09 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB14, 2) <=> v121(constB13, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 2) <=> v121(constB13, 2)))),
% 218.54/141.09 inference(transitivity,[status(thm)],[23035, 23031])).
% 218.54/141.09 tff(23037,plain,
% 218.54/141.09 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB14, 2) <=> v121(constB13, 2)))),
% 218.54/141.09 inference(quant_inst,[status(thm)],[])).
% 218.54/141.09 tff(23038,plain,
% 218.54/141.09 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 2) <=> v121(constB13, 2))),
% 218.54/141.09 inference(modus_ponens,[status(thm)],[23037, 23036])).
% 218.54/141.09 tff(23039,plain,
% 218.54/141.09 ($false),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[23038, 23030, 23023])).
% 218.54/141.09 tff(23040,plain,(v123(constB14, 2) <=> v121(constB13, 2)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.09 tff(23041,plain,
% 218.54/141.09 ((~(v123(constB14, 2) <=> v121(constB13, 2))) | v123(constB14, 2) | (~v121(constB13, 2))),
% 218.54/141.09 inference(tautology,[status(thm)],[])).
% 218.54/141.09 tff(23042,plain,
% 218.54/141.09 (v123(constB14, 2) | (~v121(constB13, 2))),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[23041, 23040])).
% 218.54/141.09 tff(23043,plain,
% 218.54/141.09 (~v121(constB13, 2)),
% 218.54/141.09 inference(unit_resolution,[status(thm)],[23042, 23022])).
% 218.54/141.09 tff(23044,assumption,(~(v121(constB13, 2) <=> v124(constB13, 2))), introduced(assumption)).
% 218.54/141.10 tff(23045,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B))))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23046,plain,
% 218.54/141.10 ((v105(constB13) | ![B: $int] : ((v121(constB13, B) <=> v124(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B))))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23047,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB13) | ![B: $int] : ((v121(constB13, B) <=> v124(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23046])).
% 218.54/141.10 tff(23048,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB13) | ![B: $int] : ((v121(constB13, B) <=> v124(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B))))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23047, 23045])).
% 218.54/141.10 tff(23049,plain,
% 218.54/141.10 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB13) | ![B: $int] : ((v121(constB13, B) <=> v124(constB13, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23050,plain,
% 218.54/141.10 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23049, 23048])).
% 218.54/141.10 tff(23051,plain,
% 218.54/141.10 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23050, 1562, 21922])).
% 218.54/141.10 tff(23052,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 2) <=> v124(constB13, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 2) <=> v124(constB13, 2)))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23053,plain,
% 218.54/141.10 (($false | $false | (v121(constB13, 2) <=> v124(constB13, 2))) <=> (v121(constB13, 2) <=> v124(constB13, 2))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23054,plain,
% 218.54/141.10 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB13, 2) <=> v124(constB13, 2))) <=> ($false | $false | (v121(constB13, 2) <=> v124(constB13, 2)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[534, 533])).
% 218.54/141.10 tff(23055,plain,
% 218.54/141.10 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB13, 2) <=> v124(constB13, 2))) <=> (v121(constB13, 2) <=> v124(constB13, 2))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23054, 23053])).
% 218.54/141.10 tff(23056,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB13, 2) <=> v124(constB13, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 2) <=> v124(constB13, 2)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23055])).
% 218.54/141.10 tff(23057,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB13, 2) <=> v124(constB13, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 2) <=> v124(constB13, 2)))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23056, 23052])).
% 218.54/141.10 tff(23058,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB13, 2) <=> v124(constB13, 2)))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23059,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 2) <=> v124(constB13, 2))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23058, 23057])).
% 218.54/141.10 tff(23060,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23059, 23051, 23044])).
% 218.54/141.10 tff(23061,plain,(v121(constB13, 2) <=> v124(constB13, 2)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23062,plain,
% 218.54/141.10 ((~(v121(constB13, 2) <=> v124(constB13, 2))) | v121(constB13, 2) | (~v124(constB13, 2))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23063,plain,
% 218.54/141.10 (v121(constB13, 2) | (~v124(constB13, 2))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23062, 23061])).
% 218.54/141.10 tff(23064,plain,
% 218.54/141.10 (~v124(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23063, 23043])).
% 218.54/141.10 tff(23065,plain,
% 218.54/141.10 ((~(v124(constB13, 2) <=> b110(2))) | v124(constB13, 2) | (~b110(2))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23066,plain,
% 218.54/141.10 (~(v124(constB13, 2) <=> b110(2))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23065, 1598, 23064])).
% 218.54/141.10 tff(23067,plain,
% 218.54/141.10 (v121(constB13, 2) <=> v124(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23059, 23051])).
% 218.54/141.10 tff(23068,plain,
% 218.54/141.10 (v123(constB14, 2) <=> v121(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23038, 23030])).
% 218.54/141.10 tff(23069,plain,
% 218.54/141.10 (v108(constB13) | v119(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22876, 22853, 21989])).
% 218.54/141.10 tff(23070,plain,
% 218.54/141.10 (v107(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22944, 23069, 21701])).
% 218.54/141.10 tff(23071,plain,
% 218.54/141.10 (~((~v107(constB13)) | (~v120(constB13)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22953, 23070])).
% 218.54/141.10 tff(23072,plain,
% 218.54/141.10 (v106(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22956, 23071])).
% 218.54/141.10 tff(23073,plain,
% 218.54/141.10 (v105(constB13) | v106(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22958, 23072])).
% 218.54/141.10 tff(23074,plain,
% 218.54/141.10 (v102(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22961, 23073])).
% 218.54/141.10 tff(23075,plain,
% 218.54/141.10 (v104(constB14)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22964, 23074])).
% 218.54/141.10 tff(23076,plain,
% 218.54/141.10 (~((~v95(constB14)) | (~v104(constB14)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22995, 23075])).
% 218.54/141.10 tff(23077,plain,
% 218.54/141.10 (v94(constB14)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22998, 23076])).
% 218.54/141.10 tff(23078,plain,
% 218.54/141.10 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23006, 23077])).
% 218.54/141.10 tff(23079,plain,
% 218.54/141.10 (v84(constB14, 2) <=> v123(constB14, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23017, 23078])).
% 218.54/141.10 tff(23080,plain,
% 218.54/141.10 ((~(v84(constB14, 2) <=> v123(constB14, 2))) | (~v123(constB14, 2))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23021, 21990])).
% 218.54/141.10 tff(23081,plain,
% 218.54/141.10 (~v123(constB14, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23080, 23079])).
% 218.54/141.10 tff(23082,plain,
% 218.54/141.10 ((~(v123(constB14, 2) <=> v121(constB13, 2))) | (~v121(constB13, 2))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23041, 23081])).
% 218.54/141.10 tff(23083,plain,
% 218.54/141.10 (~v121(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23082, 23068])).
% 218.54/141.10 tff(23084,plain,
% 218.54/141.10 ((~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))) | (~v84(constB13, 2)) | v84(constB13, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22861, 22851])).
% 218.54/141.10 tff(23085,plain,
% 218.54/141.10 (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23084, 22853, 21989])).
% 218.54/141.10 tff(23086,plain,
% 218.54/141.10 (v117(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22874, 23085, 21877])).
% 218.54/141.10 tff(23087,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B))))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23088,plain,
% 218.54/141.10 (((~v117(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B))))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23089,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23088])).
% 218.54/141.10 tff(23090,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B))))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23089, 23087])).
% 218.54/141.10 tff(23091,plain,
% 218.54/141.10 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23092,plain,
% 218.54/141.10 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23091, 23090])).
% 218.54/141.10 tff(23093,plain,
% 218.54/141.10 ((~v117(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23092, 2090])).
% 218.54/141.10 tff(23094,plain,
% 218.54/141.10 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23093, 23086])).
% 218.54/141.10 tff(23095,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 2) <=> b101(2)))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23096,plain,
% 218.54/141.10 (($false | $false | (v124(constB13, 2) <=> b101(2))) <=> (v124(constB13, 2) <=> b101(2))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23097,plain,
% 218.54/141.10 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b101(2))) <=> ($false | $false | (v124(constB13, 2) <=> b101(2)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[534, 533])).
% 218.54/141.10 tff(23098,plain,
% 218.54/141.10 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b101(2))) <=> (v124(constB13, 2) <=> b101(2))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23097, 23096])).
% 218.54/141.10 tff(23099,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 2) <=> b101(2)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23098])).
% 218.54/141.10 tff(23100,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 2) <=> b101(2)))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23099, 23095])).
% 218.54/141.10 tff(23101,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b101(2)))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23102,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 2) <=> b101(2))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23101, 23100])).
% 218.54/141.10 tff(23103,plain,
% 218.54/141.10 (v124(constB13, 2) <=> b101(2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23102, 23094])).
% 218.54/141.10 tff(23104,plain,
% 218.54/141.10 ((~(v124(constB13, 2) <=> b101(2))) | v124(constB13, 2) | (~b101(2))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23105,plain,
% 218.54/141.10 ((~(v124(constB13, 2) <=> b101(2))) | v124(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23104, 2354])).
% 218.54/141.10 tff(23106,plain,
% 218.54/141.10 (v124(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23105, 23103])).
% 218.54/141.10 tff(23107,plain,
% 218.54/141.10 ((~(v121(constB13, 2) <=> v124(constB13, 2))) | v121(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23062, 23106])).
% 218.54/141.10 tff(23108,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23107, 23083, 23067])).
% 218.54/141.10 tff(23109,plain,(v84(constB13, 0) | v84(constB14, 2) | (~v84(constB13, 2)) | v84(constB13, 1)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23110,plain,
% 218.54/141.10 (v84(constB13, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23109, 21990, 22851, 21989])).
% 218.54/141.10 tff(23111,plain,
% 218.54/141.10 (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22879, 23110, 21989])).
% 218.54/141.10 tff(23112,plain,
% 218.54/141.10 (v118(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22883, 23111, 21894])).
% 218.54/141.10 tff(23113,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B))))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23114,plain,
% 218.54/141.10 (((~v118(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B))))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23115,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23114])).
% 218.54/141.10 tff(23116,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B))))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23115, 23113])).
% 218.54/141.10 tff(23117,plain,
% 218.54/141.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23118,plain,
% 218.54/141.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23117, 23116])).
% 218.54/141.10 tff(23119,plain,
% 218.54/141.10 ((~v118(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23118, 1977])).
% 218.54/141.10 tff(23120,plain,
% 218.54/141.10 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23119, 23112])).
% 218.54/141.10 tff(23121,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 2) <=> b110(2)))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23122,plain,
% 218.54/141.10 (($false | $false | (v124(constB13, 2) <=> b110(2))) <=> (v124(constB13, 2) <=> b110(2))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23123,plain,
% 218.54/141.10 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b110(2))) <=> ($false | $false | (v124(constB13, 2) <=> b110(2)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[534, 533])).
% 218.54/141.10 tff(23124,plain,
% 218.54/141.10 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b110(2))) <=> (v124(constB13, 2) <=> b110(2))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23123, 23122])).
% 218.54/141.10 tff(23125,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 2) <=> b110(2)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23124])).
% 218.54/141.10 tff(23126,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 2) <=> b110(2)))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23125, 23121])).
% 218.54/141.10 tff(23127,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b110(2)))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23128,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 2) <=> b110(2))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23127, 23126])).
% 218.54/141.10 tff(23129,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23128, 23120, 23066])).
% 218.54/141.10 tff(23130,plain,(v84(constB14, 2) | (~v84(constB13, 2)) | v84(constB13, 1)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23131,plain,
% 218.54/141.10 (v84(constB14, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23130, 22850, 21989])).
% 218.54/141.10 tff(23132,plain,
% 218.54/141.10 (v94(constB12)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20396, 22847])).
% 218.54/141.10 tff(23133,plain,
% 218.54/141.10 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20232, 23132])).
% 218.54/141.10 tff(23134,assumption,(v84(constB11, 1)), introduced(assumption)).
% 218.54/141.10 tff(23135,plain,
% 218.54/141.10 ((v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)) | (~v84(constB11, 1))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23136,plain,
% 218.54/141.10 (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23135, 23134])).
% 218.54/141.10 tff(23137,plain,
% 218.54/141.10 (~v113(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22726, 23136])).
% 218.54/141.10 tff(23138,plain,
% 218.54/141.10 (((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))) | (~v84(constB11, 1))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23139,plain,
% 218.54/141.10 ((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23138, 23134])).
% 218.54/141.10 tff(23140,plain,
% 218.54/141.10 ((~(v118(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0)))))) | (~v118(constB11))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22621, 23139])).
% 218.54/141.10 tff(23141,plain,
% 218.54/141.10 (~v118(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23140, 20211])).
% 218.54/141.10 tff(23142,assumption,(~v116(constB11)), introduced(assumption)).
% 218.54/141.10 tff(23143,plain,
% 218.54/141.10 ((v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))) | (~v84(constB11, 1))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23144,plain,
% 218.54/141.10 (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23143, 23134])).
% 218.54/141.10 tff(23145,plain,
% 218.54/141.10 (~v114(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20594, 23144])).
% 218.54/141.10 tff(23146,plain,
% 218.54/141.10 ((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20934, 23134])).
% 218.54/141.10 tff(23147,plain,
% 218.54/141.10 (~v117(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20413, 23146])).
% 218.54/141.10 tff(23148,assumption,(~v84(constB11, 2)), introduced(assumption)).
% 218.54/141.10 tff(23149,plain,
% 218.54/141.10 (~(v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20335, 20322, 23134, 23148])).
% 218.54/141.10 tff(23150,plain,
% 218.54/141.10 (v115(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20378, 23149])).
% 218.54/141.10 tff(23151,plain,
% 218.54/141.10 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20557, 23150])).
% 218.54/141.10 tff(23152,plain,
% 218.54/141.10 (v84(constB11, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22846, 21709, 21790])).
% 218.54/141.10 tff(23153,plain,
% 218.54/141.10 (v84(constB11, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20343, 23152, 23148, 20204])).
% 218.54/141.10 tff(23154,plain,
% 218.54/141.10 ((~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))) | (~v84(constB11, 1)) | (~v84(constB11, 0))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20498, 23148])).
% 218.54/141.10 tff(23155,plain,
% 218.54/141.10 (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23154, 23153, 23152])).
% 218.54/141.10 tff(23156,plain,
% 218.54/141.10 (v116(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20500, 23155, 20459])).
% 218.54/141.10 tff(23157,plain,
% 218.54/141.10 (v111(constB11) | v116(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20503, 23156])).
% 218.54/141.10 tff(23158,plain,
% 218.54/141.10 (v110(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20388, 23157])).
% 218.54/141.10 tff(23159,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20193, 23158, 20407])).
% 218.54/141.10 tff(23160,plain,(v102(constB11) | v84(constB11, 2) | (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23161,plain,
% 218.54/141.10 (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23160, 20398, 23148])).
% 218.54/141.10 tff(23162,plain,
% 218.54/141.10 (v109(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20202, 23161])).
% 218.54/141.10 tff(23163,plain,
% 218.54/141.10 (v109(constB11) | v118(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20161, 23162])).
% 218.54/141.10 tff(23164,plain,
% 218.54/141.10 (v108(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20159, 23163])).
% 218.54/141.10 tff(23165,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20152, 20403, 23164])).
% 218.54/141.10 tff(23166,plain,(v102(constB11) | v84(constB11, 2)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23167,plain,
% 218.54/141.10 (v102(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23166, 23148])).
% 218.54/141.10 tff(23168,plain,
% 218.54/141.10 (v104(constB12)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20123, 23167])).
% 218.54/141.10 tff(23169,plain,
% 218.54/141.10 (~((~v95(constB12)) | (~v104(constB12)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20115, 23168])).
% 218.54/141.10 tff(23170,plain,
% 218.54/141.10 (v94(constB12)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20081, 23169])).
% 218.54/141.10 tff(23171,plain,
% 218.54/141.10 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20232, 23170])).
% 218.54/141.10 tff(23172,assumption,(~(v84(constB12, 1) <=> v123(constB12, 1))), introduced(assumption)).
% 218.54/141.10 tff(23173,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20241, 20431, 23172])).
% 218.54/141.10 tff(23174,plain,((v84(constB12, 1) <=> v123(constB12, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B))))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23175,plain,
% 218.54/141.10 (v84(constB12, 1) <=> v123(constB12, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23174, 23171])).
% 218.54/141.10 tff(23176,plain,
% 218.54/141.10 (~v84(constB12, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22846, 20322, 22776])).
% 218.54/141.10 tff(23177,plain,
% 218.54/141.10 (~v123(constB12, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20243, 23176, 23175])).
% 218.54/141.10 tff(23178,plain,
% 218.54/141.10 (v123(constB12, 1) | (~v121(constB11, 1))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20246, 20070])).
% 218.54/141.10 tff(23179,plain,
% 218.54/141.10 (~v121(constB11, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23178, 23177])).
% 218.54/141.10 tff(23180,plain,
% 218.54/141.10 (~v124(constB11, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20269, 23179])).
% 218.54/141.10 tff(23181,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20546, 23180, 23151])).
% 218.54/141.10 tff(23182,plain,(v84(constB11, 0) | (~v84(constB11, 1)) | v84(constB11, 2) | (~v84(constB12, 2))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23183,plain,
% 218.54/141.10 (v84(constB11, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23182, 22702, 23134, 20322])).
% 218.54/141.10 tff(23184,plain,
% 218.54/141.10 (v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20930, 23183])).
% 218.54/141.10 tff(23185,plain,
% 218.54/141.10 (~v115(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22626, 23184])).
% 218.54/141.10 tff(23186,plain,
% 218.54/141.10 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20624, 23185, 23147, 23145, 23142, 23141, 23137])).
% 218.54/141.10 tff(23187,assumption,(v84(constB14, 2)), introduced(assumption)).
% 218.54/141.10 tff(23188,plain,
% 218.54/141.10 (~v124(constB11, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20587, 20577])).
% 218.54/141.10 tff(23189,plain,
% 218.54/141.10 (~v121(constB11, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20048, 23188])).
% 218.54/141.10 tff(23190,plain,
% 218.54/141.10 (~v123(constB12, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20072, 23189])).
% 218.54/141.10 tff(23191,plain,
% 218.54/141.10 (~v84(constB12, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20433, 23190, 20431])).
% 218.54/141.10 tff(23192,plain,
% 218.54/141.10 (~v84(constB13, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22849, 23191])).
% 218.54/141.10 tff(23193,plain,
% 218.54/141.10 (v108(constB13) | v119(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22942, 23192])).
% 218.54/141.10 tff(23194,plain,
% 218.54/141.10 ((~(v107(constB13) <=> (v108(constB13) | v119(constB13)))) | v107(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22944, 23193])).
% 218.54/141.10 tff(23195,plain,
% 218.54/141.10 (v107(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23194, 21701])).
% 218.54/141.10 tff(23196,plain,
% 218.54/141.10 (~((~v107(constB13)) | (~v120(constB13)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22953, 23195])).
% 218.54/141.10 tff(23197,plain,
% 218.54/141.10 (v106(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22956, 23196])).
% 218.54/141.10 tff(23198,plain,
% 218.54/141.10 (v105(constB13) | v106(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22958, 23197])).
% 218.54/141.10 tff(23199,plain,
% 218.54/141.10 (v102(constB13)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22961, 23198])).
% 218.54/141.10 tff(23200,plain,
% 218.54/141.10 (v104(constB14)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22964, 23199])).
% 218.54/141.10 tff(23201,plain,
% 218.54/141.10 (~((~v95(constB14)) | (~v104(constB14)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22995, 23200])).
% 218.54/141.10 tff(23202,plain,
% 218.54/141.10 (v94(constB14)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22998, 23201])).
% 218.54/141.10 tff(23203,plain,
% 218.54/141.10 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23006, 23202])).
% 218.54/141.10 tff(23204,plain,
% 218.54/141.10 (v84(constB14, 2) <=> v123(constB14, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23019, 23203])).
% 218.54/141.10 tff(23205,plain,
% 218.54/141.10 ((~(v84(constB14, 2) <=> v123(constB14, 2))) | (~v84(constB14, 2)) | v123(constB14, 2)),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23206,plain,
% 218.54/141.10 (v123(constB14, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23205, 23204, 23187])).
% 218.54/141.10 tff(23207,plain,
% 218.54/141.10 ((~(v123(constB14, 2) <=> v121(constB13, 2))) | (~v123(constB14, 2)) | v121(constB13, 2)),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23208,plain,
% 218.54/141.10 ((~v123(constB14, 2)) | v121(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23207, 23040])).
% 218.54/141.10 tff(23209,plain,
% 218.54/141.10 (v121(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23208, 23206])).
% 218.54/141.10 tff(23210,plain,
% 218.54/141.10 ((~(v121(constB13, 2) <=> v124(constB13, 2))) | (~v121(constB13, 2)) | v124(constB13, 2)),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23211,plain,
% 218.54/141.10 ((~v121(constB13, 2)) | v124(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23210, 23061])).
% 218.54/141.10 tff(23212,plain,
% 218.54/141.10 (v124(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23211, 23209])).
% 218.54/141.10 tff(23213,plain,
% 218.54/141.10 ((~(v124(constB13, 2) <=> b010(2))) | (~v124(constB13, 2)) | b010(2)),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23214,plain,
% 218.54/141.10 (~(v124(constB13, 2) <=> b010(2))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23213, 2485, 23212])).
% 218.54/141.10 tff(23215,plain,
% 218.54/141.10 (v84(constB12, 2) <=> v123(constB12, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20648, 20431])).
% 218.54/141.10 tff(23216,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 2) <=> b001(2)))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23217,plain,
% 218.54/141.10 (($false | $false | (v124(constB11, 2) <=> b001(2))) <=> (v124(constB11, 2) <=> b001(2))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23218,plain,
% 218.54/141.10 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b001(2))) <=> ($false | $false | (v124(constB11, 2) <=> b001(2)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[534, 533])).
% 218.54/141.10 tff(23219,plain,
% 218.54/141.10 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b001(2))) <=> (v124(constB11, 2) <=> b001(2))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23218, 23217])).
% 218.54/141.10 tff(23220,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 2) <=> b001(2)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23219])).
% 218.54/141.10 tff(23221,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 2) <=> b001(2)))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23220, 23216])).
% 218.54/141.10 tff(23222,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b001(2)))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23223,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 2) <=> b001(2))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23222, 23221])).
% 218.54/141.10 tff(23224,plain,
% 218.54/141.10 (v124(constB11, 2) <=> b001(2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23223, 20577])).
% 218.54/141.10 tff(23225,plain,
% 218.54/141.10 ((~(v124(constB11, 2) <=> b001(2))) | (~v124(constB11, 2)) | b001(2)),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23226,plain,
% 218.54/141.10 ((~(v124(constB11, 2) <=> b001(2))) | (~v124(constB11, 2))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23225, 1831])).
% 218.54/141.10 tff(23227,plain,
% 218.54/141.10 (~v124(constB11, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23226, 23224])).
% 218.54/141.10 tff(23228,assumption,(~(v121(constB11, 2) <=> v124(constB11, 2))), introduced(assumption)).
% 218.54/141.10 tff(23229,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22710, 20036, 23228])).
% 218.54/141.10 tff(23230,plain,(v121(constB11, 2) <=> v124(constB11, 2)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23231,plain,
% 218.54/141.10 ((~v121(constB11, 2)) | v124(constB11, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22843, 23230])).
% 218.54/141.10 tff(23232,plain,
% 218.54/141.10 (~v121(constB11, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23231, 23227])).
% 218.54/141.10 tff(23233,assumption,(~(v123(constB12, 2) <=> v121(constB11, 2))), introduced(assumption)).
% 218.54/141.10 tff(23234,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22719, 20060, 23233])).
% 218.54/141.10 tff(23235,plain,(v123(constB12, 2) <=> v121(constB11, 2)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23236,plain,
% 218.54/141.10 ((~v123(constB12, 2)) | v121(constB11, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22780, 23235])).
% 218.54/141.10 tff(23237,plain,
% 218.54/141.10 (~v123(constB12, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23236, 23232])).
% 218.54/141.10 tff(23238,plain,
% 218.54/141.10 ((~(v84(constB12, 2) <=> v123(constB12, 2))) | (~v84(constB12, 2))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22777, 23237])).
% 218.54/141.10 tff(23239,plain,
% 218.54/141.10 (~v84(constB12, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23238, 23215])).
% 218.54/141.10 tff(23240,plain,
% 218.54/141.10 (~v84(constB13, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22701, 23239])).
% 218.54/141.10 tff(23241,plain,
% 218.54/141.10 (((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)) | v84(constB13, 1)),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23242,plain,
% 218.54/141.10 ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23241, 23192])).
% 218.54/141.10 tff(23243,assumption,((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)), introduced(assumption)).
% 218.54/141.10 tff(23244,plain,
% 218.54/141.10 (~v84(constB13, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[22922, 22853, 22893, 23243])).
% 218.54/141.10 tff(23245,plain,
% 218.54/141.10 (~v84(constB12, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[21803, 22893])).
% 218.54/141.10 tff(23246,plain,
% 218.54/141.10 (~v84(constB12, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[21770, 22853])).
% 218.54/141.10 tff(23247,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 0) <=> v124(constB11, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 0) <=> v124(constB11, 0)))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23248,plain,
% 218.54/141.10 (($false | $false | (v121(constB11, 0) <=> v124(constB11, 0))) <=> (v121(constB11, 0) <=> v124(constB11, 0))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23249,plain,
% 218.54/141.10 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB11, 0) <=> v124(constB11, 0))) <=> ($false | $false | (v121(constB11, 0) <=> v124(constB11, 0)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[250, 249])).
% 218.54/141.10 tff(23250,plain,
% 218.54/141.10 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB11, 0) <=> v124(constB11, 0))) <=> (v121(constB11, 0) <=> v124(constB11, 0))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23249, 23248])).
% 218.54/141.10 tff(23251,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB11, 0) <=> v124(constB11, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 0) <=> v124(constB11, 0)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23250])).
% 218.54/141.10 tff(23252,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB11, 0) <=> v124(constB11, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 0) <=> v124(constB11, 0)))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23251, 23247])).
% 218.54/141.10 tff(23253,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB11, 0) <=> v124(constB11, 0)))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23254,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB11, B) <=> v124(constB11, B)))) | (v121(constB11, 0) <=> v124(constB11, 0))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23253, 23252])).
% 218.54/141.10 tff(23255,plain,
% 218.54/141.10 (v121(constB11, 0) <=> v124(constB11, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23254, 20036])).
% 218.54/141.10 tff(23256,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 0) <=> v121(constB11, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 0) <=> v121(constB11, 0)))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23257,plain,
% 218.54/141.10 (($false | $false | (v123(constB12, 0) <=> v121(constB11, 0))) <=> (v123(constB12, 0) <=> v121(constB11, 0))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23258,plain,
% 218.54/141.10 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB12, 0) <=> v121(constB11, 0))) <=> ($false | $false | (v123(constB12, 0) <=> v121(constB11, 0)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[250, 249])).
% 218.54/141.10 tff(23259,plain,
% 218.54/141.10 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB12, 0) <=> v121(constB11, 0))) <=> (v123(constB12, 0) <=> v121(constB11, 0))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23258, 23257])).
% 218.54/141.10 tff(23260,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB12, 0) <=> v121(constB11, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 0) <=> v121(constB11, 0)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23259])).
% 218.54/141.10 tff(23261,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB12, 0) <=> v121(constB11, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 0) <=> v121(constB11, 0)))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23260, 23256])).
% 218.54/141.10 tff(23262,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB12, 0) <=> v121(constB11, 0)))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23263,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB12, B) <=> v121(constB11, B)))) | (v123(constB12, 0) <=> v121(constB11, 0))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23262, 23261])).
% 218.54/141.10 tff(23264,plain,
% 218.54/141.10 (v123(constB12, 0) <=> v121(constB11, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23263, 20060])).
% 218.54/141.10 tff(23265,plain,
% 218.54/141.10 (v84(constB12, 1) <=> v84(constB11, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20364, 20356])).
% 218.54/141.10 tff(23266,plain,
% 218.54/141.10 ((~(v84(constB12, 1) <=> v84(constB11, 1))) | (~v84(constB11, 1))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20347, 20117])).
% 218.54/141.10 tff(23267,plain,
% 218.54/141.10 (~v84(constB11, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23266, 23265])).
% 218.54/141.10 tff(23268,plain,
% 218.54/141.10 (v84(constB12, 2) <=> v84(constB11, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20493, 20356])).
% 218.54/141.10 tff(23269,plain,
% 218.54/141.10 (~v84(constB11, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20496, 23268])).
% 218.54/141.10 tff(23270,plain,
% 218.54/141.10 (v84(constB11, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20328, 23148, 20323, 20325])).
% 218.54/141.10 tff(23271,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20343, 23270, 23148, 20204, 20325])).
% 218.54/141.10 tff(23272,plain,(v84(constB11, 2) | (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))) | v84(constB11, 1) | (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23273,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23272, 23269, 23267, 20203, 20289])).
% 218.54/141.10 tff(23274,plain,(v94(constB12) | v84(constB12, 2) | v84(constB12, 1)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23275,plain,
% 218.54/141.10 (v94(constB12)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23274, 20117, 20074])).
% 218.54/141.10 tff(23276,plain,
% 218.54/141.10 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20232, 23275])).
% 218.54/141.10 tff(23277,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 0) <=> v123(constB12, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 0) <=> v123(constB12, 0)))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23278,plain,
% 218.54/141.10 (($false | $false | (v84(constB12, 0) <=> v123(constB12, 0))) <=> (v84(constB12, 0) <=> v123(constB12, 0))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23279,plain,
% 218.54/141.10 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB12, 0) <=> v123(constB12, 0))) <=> ($false | $false | (v84(constB12, 0) <=> v123(constB12, 0)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[250, 249])).
% 218.54/141.10 tff(23280,plain,
% 218.54/141.10 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB12, 0) <=> v123(constB12, 0))) <=> (v84(constB12, 0) <=> v123(constB12, 0))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23279, 23278])).
% 218.54/141.10 tff(23281,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB12, 0) <=> v123(constB12, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 0) <=> v123(constB12, 0)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23280])).
% 218.54/141.10 tff(23282,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB12, 0) <=> v123(constB12, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 0) <=> v123(constB12, 0)))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23281, 23277])).
% 218.54/141.10 tff(23283,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB12, 0) <=> v123(constB12, 0)))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23284,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (v84(constB12, 0) <=> v123(constB12, 0))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23283, 23282])).
% 218.54/141.10 tff(23285,plain,
% 218.54/141.10 (v84(constB12, 0) <=> v123(constB12, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23284, 23276])).
% 218.54/141.10 tff(23286,plain,
% 218.54/141.10 ((~(v84(constB12, 0) <=> v123(constB12, 0))) | v84(constB12, 0) | (~v123(constB12, 0))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23287,plain,
% 218.54/141.10 ((~(v84(constB12, 0) <=> v123(constB12, 0))) | (~v123(constB12, 0))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23286, 20567])).
% 218.54/141.10 tff(23288,plain,
% 218.54/141.10 (~v123(constB12, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23287, 23285])).
% 218.54/141.10 tff(23289,plain,
% 218.54/141.10 ((~(v123(constB12, 0) <=> v121(constB11, 0))) | v123(constB12, 0) | (~v121(constB11, 0))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23290,plain,
% 218.54/141.10 ((~(v123(constB12, 0) <=> v121(constB11, 0))) | (~v121(constB11, 0))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23289, 23288])).
% 218.54/141.10 tff(23291,plain,
% 218.54/141.10 (~v121(constB11, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23290, 23264])).
% 218.54/141.10 tff(23292,plain,
% 218.54/141.10 ((~(v121(constB11, 0) <=> v124(constB11, 0))) | v121(constB11, 0) | (~v124(constB11, 0))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23293,plain,
% 218.54/141.10 ((~(v121(constB11, 0) <=> v124(constB11, 0))) | (~v124(constB11, 0))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23292, 23291])).
% 218.54/141.10 tff(23294,plain,
% 218.54/141.10 (~v124(constB11, 0)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23293, 23255])).
% 218.54/141.10 tff(23295,plain,
% 218.54/141.10 ((~(v124(constB11, 0) <=> b101(0))) | v124(constB11, 0) | (~b101(0))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23296,plain,
% 218.54/141.10 (~(v124(constB11, 0) <=> b101(0))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23295, 2042, 23294])).
% 218.54/141.10 tff(23297,plain,
% 218.54/141.10 (v84(constB12, 1) <=> v123(constB12, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20241, 23276])).
% 218.54/141.10 tff(23298,plain,
% 218.54/141.10 (~v123(constB12, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20244, 23297])).
% 218.54/141.10 tff(23299,plain,
% 218.54/141.10 ((~(v123(constB12, 1) <=> v121(constB11, 1))) | (~v121(constB11, 1))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20246, 23298])).
% 218.54/141.10 tff(23300,plain,
% 218.54/141.10 (~v121(constB11, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23299, 20212])).
% 218.54/141.10 tff(23301,plain,
% 218.54/141.10 (~v124(constB11, 1)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20269, 23300])).
% 218.54/141.10 tff(23302,plain,
% 218.54/141.10 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20546, 23301])).
% 218.54/141.10 tff(23303,plain,
% 218.54/141.10 (v84(constB12, 2) <=> v123(constB12, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[20648, 23276])).
% 218.54/141.10 tff(23304,plain,
% 218.54/141.10 ((~(v84(constB12, 2) <=> v123(constB12, 2))) | v84(constB12, 2) | (~v123(constB12, 2))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23305,plain,
% 218.54/141.10 ((~(v84(constB12, 2) <=> v123(constB12, 2))) | (~v123(constB12, 2))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23304, 20074])).
% 218.54/141.10 tff(23306,plain,
% 218.54/141.10 (~v123(constB12, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23305, 23303])).
% 218.54/141.10 tff(23307,plain,
% 218.54/141.10 ((~(v123(constB12, 2) <=> v121(constB11, 2))) | v123(constB12, 2) | (~v121(constB11, 2))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23308,plain,
% 218.54/141.10 ((~(v123(constB12, 2) <=> v121(constB11, 2))) | (~v121(constB11, 2))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23307, 23306])).
% 218.54/141.10 tff(23309,plain,
% 218.54/141.10 (~v121(constB11, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23308, 22720])).
% 218.54/141.10 tff(23310,plain,
% 218.54/141.10 ((~(v121(constB11, 2) <=> v124(constB11, 2))) | v121(constB11, 2) | (~v124(constB11, 2))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23311,plain,
% 218.54/141.10 ((~(v121(constB11, 2) <=> v124(constB11, 2))) | (~v124(constB11, 2))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23310, 23309])).
% 218.54/141.10 tff(23312,plain,
% 218.54/141.10 (~v124(constB11, 2)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23311, 22711])).
% 218.54/141.10 tff(23313,assumption,(~v124(constB11, 2)), introduced(assumption)).
% 218.54/141.10 tff(23314,plain,
% 218.54/141.10 ((~(v124(constB11, 2) <=> b100(2))) | v124(constB11, 2) | (~b100(2))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23315,plain,
% 218.54/141.10 (~(v124(constB11, 2) <=> b100(2))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23314, 2250, 23313])).
% 218.54/141.10 tff(23316,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))), introduced(assumption)).
% 218.54/141.10 tff(23317,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 2) <=> b100(2)))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23318,plain,
% 218.54/141.10 (($false | $false | (v124(constB11, 2) <=> b100(2))) <=> (v124(constB11, 2) <=> b100(2))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23319,plain,
% 218.54/141.10 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b100(2))) <=> ($false | $false | (v124(constB11, 2) <=> b100(2)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[534, 533])).
% 218.54/141.10 tff(23320,plain,
% 218.54/141.10 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b100(2))) <=> (v124(constB11, 2) <=> b100(2))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23319, 23318])).
% 218.54/141.10 tff(23321,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 2) <=> b100(2)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23320])).
% 218.54/141.10 tff(23322,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 2) <=> b100(2)))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23321, 23317])).
% 218.54/141.10 tff(23323,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b100(2)))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23324,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 2) <=> b100(2))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23323, 23322])).
% 218.54/141.10 tff(23325,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23324, 23316, 23315])).
% 218.54/141.10 tff(23326,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | v124(constB11, 2)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23327,plain,
% 218.54/141.10 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23326, 23312])).
% 218.54/141.10 tff(23328,plain,
% 218.54/141.10 ((~(v124(constB11, 1) <=> b010(1))) | v124(constB11, 1) | (~b010(1))),
% 218.54/141.10 inference(tautology,[status(thm)],[])).
% 218.54/141.10 tff(23329,plain,
% 218.54/141.10 (~(v124(constB11, 1) <=> b010(1))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23328, 2513, 20021])).
% 218.54/141.10 tff(23330,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))), introduced(assumption)).
% 218.54/141.10 tff(23331,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 1) <=> b010(1)))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23332,plain,
% 218.54/141.10 (($false | $false | (v124(constB11, 1) <=> b010(1))) <=> (v124(constB11, 1) <=> b010(1))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23333,plain,
% 218.54/141.10 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b010(1))) <=> ($false | $false | (v124(constB11, 1) <=> b010(1)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[402, 401])).
% 218.54/141.10 tff(23334,plain,
% 218.54/141.10 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b010(1))) <=> (v124(constB11, 1) <=> b010(1))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23333, 23332])).
% 218.54/141.10 tff(23335,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 1) <=> b010(1)))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23334])).
% 218.54/141.10 tff(23336,plain,
% 218.54/141.10 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 1) <=> b010(1)))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23335, 23331])).
% 218.54/141.10 tff(23337,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB11, 1) <=> b010(1)))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23338,plain,
% 218.54/141.10 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 1) <=> b010(1))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23337, 23336])).
% 218.54/141.10 tff(23339,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23338, 23330, 23329])).
% 218.54/141.10 tff(23340,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | v124(constB11, 1)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23341,plain,
% 218.54/141.10 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23340, 23301])).
% 218.54/141.10 tff(23342,assumption,(v114(constB11)), introduced(assumption)).
% 218.54/141.10 tff(23343,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))), introduced(assumption)).
% 218.54/141.10 tff(23344,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B))))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23345,plain,
% 218.54/141.10 (((~v114(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B))))),
% 218.54/141.10 inference(rewrite,[status(thm)],[])).
% 218.54/141.10 tff(23346,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))))),
% 218.54/141.10 inference(monotonicity,[status(thm)],[23345])).
% 218.54/141.10 tff(23347,plain,
% 218.54/141.10 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B))))),
% 218.54/141.10 inference(transitivity,[status(thm)],[23346, 23344])).
% 218.54/141.10 tff(23348,plain,
% 218.54/141.10 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB11)) | ![B: $int] : ((v124(constB11, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.54/141.10 inference(quant_inst,[status(thm)],[])).
% 218.54/141.10 tff(23349,plain,
% 218.54/141.10 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))),
% 218.54/141.10 inference(modus_ponens,[status(thm)],[23348, 23347])).
% 218.54/141.10 tff(23350,plain,
% 218.54/141.10 ($false),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23349, 2418, 23343, 23342])).
% 218.54/141.10 tff(23351,plain,((~v114(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.10 tff(23352,plain,
% 218.54/141.10 (~v114(constB11)),
% 218.54/141.10 inference(unit_resolution,[status(thm)],[23351, 23341])).
% 218.54/141.10 tff(23353,plain,
% 218.54/141.10 ((~(v124(constB11, 0) <=> b001(0))) | v124(constB11, 0) | (~b001(0))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23354,plain,
% 218.54/141.11 ((~(v124(constB11, 0) <=> b001(0))) | v124(constB11, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23353, 1940])).
% 218.54/141.11 tff(23355,plain,
% 218.54/141.11 (~(v124(constB11, 0) <=> b001(0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23354, 23294])).
% 218.54/141.11 tff(23356,assumption,(~(v124(constB11, 0) <=> b001(0))), introduced(assumption)).
% 218.54/141.11 tff(23357,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 0) <=> b001(0)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23358,plain,
% 218.54/141.11 (($false | $false | (v124(constB11, 0) <=> b001(0))) <=> (v124(constB11, 0) <=> b001(0))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23359,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b001(0))) <=> ($false | $false | (v124(constB11, 0) <=> b001(0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[250, 249])).
% 218.54/141.11 tff(23360,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b001(0))) <=> (v124(constB11, 0) <=> b001(0))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23359, 23358])).
% 218.54/141.11 tff(23361,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 0) <=> b001(0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23360])).
% 218.54/141.11 tff(23362,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 0) <=> b001(0)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23361, 23357])).
% 218.54/141.11 tff(23363,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b001(0)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23364,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (v124(constB11, 0) <=> b001(0))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23363, 23362])).
% 218.54/141.11 tff(23365,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23364, 20577, 23356])).
% 218.54/141.11 tff(23366,plain,((v124(constB11, 0) <=> b001(0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23367,plain,
% 218.54/141.11 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23366, 23355])).
% 218.54/141.11 tff(23368,plain,
% 218.54/141.11 (~v115(constB11)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[20555, 2144, 20548])).
% 218.54/141.11 tff(23369,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))), introduced(assumption)).
% 218.54/141.11 tff(23370,plain,
% 218.54/141.11 (~v116(constB11)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22817, 2230, 23369])).
% 218.54/141.11 tff(23371,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[20624, 23370, 23368, 20612, 20601, 20611, 20600, 20599])).
% 218.54/141.11 tff(23372,plain,(v117(constB11) | v118(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v114(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23373,plain,
% 218.54/141.11 (v117(constB11)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23372, 20272, 23367, 23352, 23327, 23302])).
% 218.54/141.11 tff(23374,plain,
% 218.54/141.11 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[20445, 23373])).
% 218.54/141.11 tff(23375,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 0) <=> b101(0)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23376,plain,
% 218.54/141.11 (($false | $false | (v124(constB11, 0) <=> b101(0))) <=> (v124(constB11, 0) <=> b101(0))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23377,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b101(0))) <=> ($false | $false | (v124(constB11, 0) <=> b101(0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[250, 249])).
% 218.54/141.11 tff(23378,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b101(0))) <=> (v124(constB11, 0) <=> b101(0))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23377, 23376])).
% 218.54/141.11 tff(23379,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 0) <=> b101(0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23378])).
% 218.54/141.11 tff(23380,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 0) <=> b101(0)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23379, 23375])).
% 218.54/141.11 tff(23381,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b101(0)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23382,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 0) <=> b101(0))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23381, 23380])).
% 218.54/141.11 tff(23383,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23382, 23374, 23296])).
% 218.54/141.11 tff(23384,plain,(v84(constB12, 1) | v84(constB12, 2) | v84(constB12, 0)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23385,plain,
% 218.54/141.11 (v84(constB12, 1)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23384, 23246, 23245])).
% 218.54/141.11 tff(23386,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[21840, 23385, 23244])).
% 218.54/141.11 tff(23387,plain,(v84(constB13, 0) | v84(constB13, 2) | (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23388,plain,
% 218.54/141.11 (v84(constB13, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23387, 23240, 23242])).
% 218.54/141.11 tff(23389,plain,
% 218.54/141.11 (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22903, 23388, 23240, 23192])).
% 218.54/141.11 tff(23390,plain,
% 218.54/141.11 (v114(constB13) | (v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22912, 21847])).
% 218.54/141.11 tff(23391,plain,
% 218.54/141.11 (v114(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23390, 23389])).
% 218.54/141.11 tff(23392,assumption,(v114(constB13)), introduced(assumption)).
% 218.54/141.11 tff(23393,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))), introduced(assumption)).
% 218.54/141.11 tff(23394,plain,
% 218.54/141.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B))))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23395,plain,
% 218.54/141.11 (((~v114(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B))))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23396,plain,
% 218.54/141.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23395])).
% 218.54/141.11 tff(23397,plain,
% 218.54/141.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B))))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23396, 23394])).
% 218.54/141.11 tff(23398,plain,
% 218.54/141.11 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23399,plain,
% 218.54/141.11 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23398, 23397])).
% 218.54/141.11 tff(23400,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23399, 2418, 23393, 23392])).
% 218.54/141.11 tff(23401,plain,((~v114(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23402,plain,
% 218.54/141.11 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23401, 23391])).
% 218.54/141.11 tff(23403,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 2) <=> b010(2)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23404,plain,
% 218.54/141.11 (($false | $false | (v124(constB13, 2) <=> b010(2))) <=> (v124(constB13, 2) <=> b010(2))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23405,plain,
% 218.54/141.11 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b010(2))) <=> ($false | $false | (v124(constB13, 2) <=> b010(2)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[534, 533])).
% 218.54/141.11 tff(23406,plain,
% 218.54/141.11 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b010(2))) <=> (v124(constB13, 2) <=> b010(2))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23405, 23404])).
% 218.54/141.11 tff(23407,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 2) <=> b010(2)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23406])).
% 218.54/141.11 tff(23408,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 2) <=> b010(2)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23407, 23403])).
% 218.54/141.11 tff(23409,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b010(2)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23410,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 2) <=> b010(2))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23409, 23408])).
% 218.54/141.11 tff(23411,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23410, 23402, 23214])).
% 218.54/141.11 tff(23412,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))) | (~v84(constB14, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B))))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23413,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23412, 23186, 23133, 23131])).
% 218.54/141.11 tff(23414,plain,((~v84(constB13, 2)) | v116(constB11) | v84(constB11, 0) | (~v84(constB11, 1))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23415,plain,
% 218.54/141.11 (~v84(constB13, 2)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23414, 22699, 20322, 21470])).
% 218.54/141.11 tff(23416,plain,
% 218.54/141.11 (~v84(constB12, 1)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[21840, 22851])).
% 218.54/141.11 tff(23417,plain,
% 218.54/141.11 (v84(constB12, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23384, 23416, 23245])).
% 218.54/141.11 tff(23418,assumption,(v84(constB14, 0)), introduced(assumption)).
% 218.54/141.11 tff(23419,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 0) <=> v124(constB13, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 0) <=> v124(constB13, 0)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23420,plain,
% 218.54/141.11 (($false | $false | (v121(constB13, 0) <=> v124(constB13, 0))) <=> (v121(constB13, 0) <=> v124(constB13, 0))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23421,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB13, 0) <=> v124(constB13, 0))) <=> ($false | $false | (v121(constB13, 0) <=> v124(constB13, 0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[250, 249])).
% 218.54/141.11 tff(23422,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB13, 0) <=> v124(constB13, 0))) <=> (v121(constB13, 0) <=> v124(constB13, 0))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23421, 23420])).
% 218.54/141.11 tff(23423,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB13, 0) <=> v124(constB13, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 0) <=> v124(constB13, 0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23422])).
% 218.54/141.11 tff(23424,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB13, 0) <=> v124(constB13, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 0) <=> v124(constB13, 0)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23423, 23419])).
% 218.54/141.11 tff(23425,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB13, 0) <=> v124(constB13, 0)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23426,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 0) <=> v124(constB13, 0))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23425, 23424])).
% 218.54/141.11 tff(23427,plain,
% 218.54/141.11 (v121(constB13, 0) <=> v124(constB13, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23426, 23051])).
% 218.54/141.11 tff(23428,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 0) <=> v121(constB13, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 0) <=> v121(constB13, 0)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23429,plain,
% 218.54/141.11 (($false | $false | (v123(constB14, 0) <=> v121(constB13, 0))) <=> (v123(constB14, 0) <=> v121(constB13, 0))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23430,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB14, 0) <=> v121(constB13, 0))) <=> ($false | $false | (v123(constB14, 0) <=> v121(constB13, 0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[250, 249])).
% 218.54/141.11 tff(23431,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB14, 0) <=> v121(constB13, 0))) <=> (v123(constB14, 0) <=> v121(constB13, 0))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23430, 23429])).
% 218.54/141.11 tff(23432,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB14, 0) <=> v121(constB13, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 0) <=> v121(constB13, 0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23431])).
% 218.54/141.11 tff(23433,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB14, 0) <=> v121(constB13, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 0) <=> v121(constB13, 0)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23432, 23428])).
% 218.54/141.11 tff(23434,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB14, 0) <=> v121(constB13, 0)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23435,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 0) <=> v121(constB13, 0))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23434, 23433])).
% 218.54/141.11 tff(23436,plain,
% 218.54/141.11 (v123(constB14, 0) <=> v121(constB13, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23435, 23030])).
% 218.54/141.11 tff(23437,assumption,(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)), introduced(assumption)).
% 218.54/141.11 tff(23438,plain,
% 218.54/141.11 ((~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))) | v84(constB13, 0) | v84(constB13, 2)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22931, 22851])).
% 218.54/141.11 tff(23439,plain,
% 218.54/141.11 (v84(constB13, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23438, 22893, 23437])).
% 218.54/141.11 tff(23440,plain,
% 218.54/141.11 (v111(constB13) | v116(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22914, 23439, 22893])).
% 218.54/141.11 tff(23441,plain,
% 218.54/141.11 (v110(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22938, 23440, 21782])).
% 218.54/141.11 tff(23442,plain,
% 218.54/141.11 (v110(constB13) | v117(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22940, 23441])).
% 218.54/141.11 tff(23443,plain,
% 218.54/141.11 (v109(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22870, 23442, 21780])).
% 218.54/141.11 tff(23444,plain,
% 218.54/141.11 (v109(constB13) | v118(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22868, 23443])).
% 218.54/141.11 tff(23445,plain,
% 218.54/141.11 (v108(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22866, 23444, 21778])).
% 218.54/141.11 tff(23446,plain,
% 218.54/141.11 (v108(constB13) | v119(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22864, 23445])).
% 218.54/141.11 tff(23447,plain,
% 218.54/141.11 (v107(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22944, 23446, 21701])).
% 218.54/141.11 tff(23448,plain,
% 218.54/141.11 (~((~v107(constB13)) | (~v120(constB13)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22953, 23447])).
% 218.54/141.11 tff(23449,plain,
% 218.54/141.11 (v106(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22956, 23448])).
% 218.54/141.11 tff(23450,plain,
% 218.54/141.11 (v105(constB13) | v106(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22958, 23449])).
% 218.54/141.11 tff(23451,plain,
% 218.54/141.11 (v102(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22961, 23450])).
% 218.54/141.11 tff(23452,plain,
% 218.54/141.11 (v104(constB14)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22964, 23451])).
% 218.54/141.11 tff(23453,plain,
% 218.54/141.11 (~((~v95(constB14)) | (~v104(constB14)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22995, 23452])).
% 218.54/141.11 tff(23454,plain,
% 218.54/141.11 (v94(constB14)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22998, 23453])).
% 218.54/141.11 tff(23455,plain,
% 218.54/141.11 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23006, 23454])).
% 218.54/141.11 tff(23456,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 0) <=> v123(constB14, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 0) <=> v123(constB14, 0)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23457,plain,
% 218.54/141.11 (($false | $false | (v84(constB14, 0) <=> v123(constB14, 0))) <=> (v84(constB14, 0) <=> v123(constB14, 0))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23458,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB14, 0) <=> v123(constB14, 0))) <=> ($false | $false | (v84(constB14, 0) <=> v123(constB14, 0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[250, 249])).
% 218.54/141.11 tff(23459,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB14, 0) <=> v123(constB14, 0))) <=> (v84(constB14, 0) <=> v123(constB14, 0))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23458, 23457])).
% 218.54/141.11 tff(23460,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB14, 0) <=> v123(constB14, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 0) <=> v123(constB14, 0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23459])).
% 218.54/141.11 tff(23461,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB14, 0) <=> v123(constB14, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 0) <=> v123(constB14, 0)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23460, 23456])).
% 218.54/141.11 tff(23462,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB14, 0) <=> v123(constB14, 0)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23463,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 0) <=> v123(constB14, 0))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23462, 23461])).
% 218.54/141.11 tff(23464,plain,
% 218.54/141.11 (v84(constB14, 0) <=> v123(constB14, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23463, 23455])).
% 218.54/141.11 tff(23465,plain,
% 218.54/141.11 ((~(v84(constB14, 0) <=> v123(constB14, 0))) | (~v84(constB14, 0)) | v123(constB14, 0)),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23466,plain,
% 218.54/141.11 ((~(v84(constB14, 0) <=> v123(constB14, 0))) | v123(constB14, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23465, 23418])).
% 218.54/141.11 tff(23467,plain,
% 218.54/141.11 (v123(constB14, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23466, 23464])).
% 218.54/141.11 tff(23468,plain,
% 218.54/141.11 ((~(v123(constB14, 0) <=> v121(constB13, 0))) | (~v123(constB14, 0)) | v121(constB13, 0)),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23469,plain,
% 218.54/141.11 ((~(v123(constB14, 0) <=> v121(constB13, 0))) | v121(constB13, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23468, 23467])).
% 218.54/141.11 tff(23470,plain,
% 218.54/141.11 (v121(constB13, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23469, 23436])).
% 218.54/141.11 tff(23471,plain,
% 218.54/141.11 (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22903, 23439, 22851, 22893])).
% 218.54/141.11 tff(23472,plain,
% 218.54/141.11 (v114(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23390, 23471])).
% 218.54/141.11 tff(23473,plain,
% 218.54/141.11 ((~v114(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23399, 2418])).
% 218.54/141.11 tff(23474,plain,
% 218.54/141.11 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23473, 23472])).
% 218.54/141.11 tff(23475,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 0) <=> b010(0)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23476,plain,
% 218.54/141.11 (($false | $false | (v124(constB13, 0) <=> b010(0))) <=> (v124(constB13, 0) <=> b010(0))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23477,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b010(0))) <=> ($false | $false | (v124(constB13, 0) <=> b010(0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[250, 249])).
% 218.54/141.11 tff(23478,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b010(0))) <=> (v124(constB13, 0) <=> b010(0))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23477, 23476])).
% 218.54/141.11 tff(23479,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 0) <=> b010(0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23478])).
% 218.54/141.11 tff(23480,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 0) <=> b010(0)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23479, 23475])).
% 218.54/141.11 tff(23481,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b010(0)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23482,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 0) <=> b010(0))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23481, 23480])).
% 218.54/141.11 tff(23483,plain,
% 218.54/141.11 (v124(constB13, 0) <=> b010(0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23482, 23474])).
% 218.54/141.11 tff(23484,plain,
% 218.54/141.11 ((~(v124(constB13, 0) <=> b010(0))) | (~v124(constB13, 0)) | b010(0)),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23485,plain,
% 218.54/141.11 ((~(v124(constB13, 0) <=> b010(0))) | (~v124(constB13, 0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23484, 2437])).
% 218.54/141.11 tff(23486,plain,
% 218.54/141.11 (~v124(constB13, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23485, 23483])).
% 218.54/141.11 tff(23487,plain,
% 218.54/141.11 ((~(v121(constB13, 0) <=> v124(constB13, 0))) | (~v121(constB13, 0)) | v124(constB13, 0)),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23488,plain,
% 218.54/141.11 ((~(v121(constB13, 0) <=> v124(constB13, 0))) | (~v121(constB13, 0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23487, 23486])).
% 218.54/141.11 tff(23489,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23488, 23470, 23427])).
% 218.54/141.11 tff(23490,plain,(v84(constB13, 2) | (~v84(constB14, 0)) | v84(constB13, 1) | (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23491,plain,
% 218.54/141.11 (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23490, 22851, 23418, 22893])).
% 218.54/141.11 tff(23492,plain,
% 218.54/141.11 ((v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)) | (~v84(constB13, 0))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23493,plain,
% 218.54/141.11 (~v84(constB13, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23492, 23491])).
% 218.54/141.11 tff(23494,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[21770, 23493, 23417])).
% 218.54/141.11 tff(23495,plain,(v84(constB13, 1) | (~v84(constB14, 0)) | v84(constB13, 2)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23496,plain,
% 218.54/141.11 (~v84(constB14, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23495, 22851, 22893])).
% 218.54/141.11 tff(23497,assumption,(~(v84(constB15, 0) <=> v84(constB14, 0))), introduced(assumption)).
% 218.54/141.11 tff(23498,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[21698, 21690, 23497])).
% 218.54/141.11 tff(23499,plain,(v84(constB15, 0) <=> v84(constB14, 0)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23500,plain,
% 218.54/141.11 ((~(v84(constB15, 0) <=> v84(constB14, 0))) | (~v84(constB15, 0)) | v84(constB14, 0)),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23501,plain,
% 218.54/141.11 ((~v84(constB15, 0)) | v84(constB14, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23500, 23499])).
% 218.54/141.11 tff(23502,plain,
% 218.54/141.11 (~v84(constB15, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23501, 23496])).
% 218.54/141.11 tff(23503,assumption,(~v84(constB15, 2)), introduced(assumption)).
% 218.54/141.11 tff(23504,assumption,(~v84(constB15, 0)), introduced(assumption)).
% 218.54/141.11 tff(23505,plain,
% 218.54/141.11 ((v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))) | v84(constB15, 0)),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23506,plain,
% 218.54/141.11 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23505, 23504])).
% 218.54/141.11 tff(23507,assumption,(~(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))), introduced(assumption)).
% 218.54/141.11 tff(23508,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22035, 298, 23507])).
% 218.54/141.11 tff(23509,plain,(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23510,plain,
% 218.54/141.11 ((~v114(constB15)) | (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22039, 23509])).
% 218.54/141.11 tff(23511,plain,
% 218.54/141.11 (~v114(constB15)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23510, 23506])).
% 218.54/141.11 tff(23512,assumption,(~v114(constB15)), introduced(assumption)).
% 218.54/141.11 tff(23513,plain,
% 218.54/141.11 ((~(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))) | v114(constB15) | (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23514,plain,
% 218.54/141.11 (v114(constB15) | (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23513, 23509])).
% 218.54/141.11 tff(23515,plain,
% 218.54/141.11 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23514, 23512])).
% 218.54/141.11 tff(23516,assumption,(~v84(constB15, 1)), introduced(assumption)).
% 218.54/141.11 tff(23517,plain,
% 218.54/141.11 ((~(v84(constB15, 1) <=> v84(constB14, 1))) | (~v84(constB14, 1))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22101, 23516])).
% 218.54/141.11 tff(23518,plain,
% 218.54/141.11 (~v84(constB14, 1)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23517, 22088])).
% 218.54/141.11 tff(23519,assumption,(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))), introduced(assumption)).
% 218.54/141.11 tff(23520,plain,
% 218.54/141.11 ((~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))) | v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23521,plain,
% 218.54/141.11 (~v84(constB15, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23520, 23516, 23503, 23519])).
% 218.54/141.11 tff(23522,plain,
% 218.54/141.11 ((~(v84(constB15, 0) <=> v84(constB14, 0))) | (~v84(constB14, 0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[21970, 23521])).
% 218.54/141.11 tff(23523,plain,
% 218.54/141.11 (~v84(constB14, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23522, 21699])).
% 218.54/141.11 tff(23524,plain,
% 218.54/141.11 (v84(constB13, 2) <=> v84(constB12, 2)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[21799, 21758])).
% 218.54/141.11 tff(23525,plain,
% 218.54/141.11 (v84(constB15, 2) <=> v84(constB14, 2)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22013, 21690])).
% 218.54/141.11 tff(23526,plain,
% 218.54/141.11 ((~(v84(constB15, 2) <=> v84(constB14, 2))) | (~v84(constB14, 2))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22016, 23503])).
% 218.54/141.11 tff(23527,plain,
% 218.54/141.11 (~v84(constB14, 2)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23526, 23525])).
% 218.54/141.11 tff(23528,plain,
% 218.54/141.11 ((~(v84(constB13, 2) <=> v84(constB12, 2))) | (~v84(constB13, 2))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[22700, 20074])).
% 218.54/141.11 tff(23529,plain,
% 218.54/141.11 (~v84(constB13, 2)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23528, 23524])).
% 218.54/141.11 tff(23530,assumption,(~v84(constB14, 1)), introduced(assumption)).
% 218.54/141.11 tff(23531,assumption,(~v84(constB14, 0)), introduced(assumption)).
% 218.54/141.11 tff(23532,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 1) <=> v124(constB13, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 1) <=> v124(constB13, 1)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23533,plain,
% 218.54/141.11 (($false | $false | (v121(constB13, 1) <=> v124(constB13, 1))) <=> (v121(constB13, 1) <=> v124(constB13, 1))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23534,plain,
% 218.54/141.11 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB13, 1) <=> v124(constB13, 1))) <=> ($false | $false | (v121(constB13, 1) <=> v124(constB13, 1)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[402, 401])).
% 218.54/141.11 tff(23535,plain,
% 218.54/141.11 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB13, 1) <=> v124(constB13, 1))) <=> (v121(constB13, 1) <=> v124(constB13, 1))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23534, 23533])).
% 218.54/141.11 tff(23536,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB13, 1) <=> v124(constB13, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 1) <=> v124(constB13, 1)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23535])).
% 218.54/141.11 tff(23537,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB13, 1) <=> v124(constB13, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 1) <=> v124(constB13, 1)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23536, 23532])).
% 218.54/141.11 tff(23538,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB13, 1) <=> v124(constB13, 1)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23539,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB13, B) <=> v124(constB13, B)))) | (v121(constB13, 1) <=> v124(constB13, 1))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23538, 23537])).
% 218.54/141.11 tff(23540,plain,
% 218.54/141.11 (v121(constB13, 1) <=> v124(constB13, 1)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23539, 23051])).
% 218.54/141.11 tff(23541,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 1) <=> v121(constB13, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 1) <=> v121(constB13, 1)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23542,plain,
% 218.54/141.11 (($false | $false | (v123(constB14, 1) <=> v121(constB13, 1))) <=> (v123(constB14, 1) <=> v121(constB13, 1))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23543,plain,
% 218.54/141.11 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB14, 1) <=> v121(constB13, 1))) <=> ($false | $false | (v123(constB14, 1) <=> v121(constB13, 1)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[402, 401])).
% 218.54/141.11 tff(23544,plain,
% 218.54/141.11 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB14, 1) <=> v121(constB13, 1))) <=> (v123(constB14, 1) <=> v121(constB13, 1))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23543, 23542])).
% 218.54/141.11 tff(23545,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB14, 1) <=> v121(constB13, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 1) <=> v121(constB13, 1)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23544])).
% 218.54/141.11 tff(23546,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB14, 1) <=> v121(constB13, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 1) <=> v121(constB13, 1)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23545, 23541])).
% 218.54/141.11 tff(23547,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB14, 1) <=> v121(constB13, 1)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23548,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB14, B) <=> v121(constB13, B)))) | (v123(constB14, 1) <=> v121(constB13, 1))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23547, 23546])).
% 218.54/141.11 tff(23549,plain,
% 218.54/141.11 (v123(constB14, 1) <=> v121(constB13, 1)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23548, 23030])).
% 218.54/141.11 tff(23550,plain,
% 218.54/141.11 ((v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))) | v84(constB13, 0)),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23551,plain,
% 218.54/141.11 (v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23550, 22853])).
% 218.54/141.11 tff(23552,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 1) <=> v123(constB14, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 1) <=> v123(constB14, 1)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23553,plain,
% 218.54/141.11 (($false | $false | (v84(constB14, 1) <=> v123(constB14, 1))) <=> (v84(constB14, 1) <=> v123(constB14, 1))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23554,plain,
% 218.54/141.11 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB14, 1) <=> v123(constB14, 1))) <=> ($false | $false | (v84(constB14, 1) <=> v123(constB14, 1)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[402, 401])).
% 218.54/141.11 tff(23555,plain,
% 218.54/141.11 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB14, 1) <=> v123(constB14, 1))) <=> (v84(constB14, 1) <=> v123(constB14, 1))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23554, 23553])).
% 218.54/141.11 tff(23556,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB14, 1) <=> v123(constB14, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 1) <=> v123(constB14, 1)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23555])).
% 218.54/141.11 tff(23557,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB14, 1) <=> v123(constB14, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 1) <=> v123(constB14, 1)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23556, 23552])).
% 218.54/141.11 tff(23558,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB14, 1) <=> v123(constB14, 1)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23559,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | (v84(constB14, 1) <=> v123(constB14, 1))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23558, 23557])).
% 218.54/141.11 tff(23560,plain,
% 218.54/141.11 (v84(constB14, 1) <=> v123(constB14, 1)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23559, 23009])).
% 218.54/141.11 tff(23561,plain,
% 218.54/141.11 ((~(v84(constB14, 1) <=> v123(constB14, 1))) | v84(constB14, 1) | (~v123(constB14, 1))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23562,plain,
% 218.54/141.11 ((~(v84(constB14, 1) <=> v123(constB14, 1))) | (~v123(constB14, 1))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23561, 23530])).
% 218.54/141.11 tff(23563,plain,
% 218.54/141.11 (~v123(constB14, 1)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23562, 23560])).
% 218.54/141.11 tff(23564,plain,
% 218.54/141.11 ((~(v123(constB14, 1) <=> v121(constB13, 1))) | v123(constB14, 1) | (~v121(constB13, 1))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23565,plain,
% 218.54/141.11 ((~(v123(constB14, 1) <=> v121(constB13, 1))) | (~v121(constB13, 1))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23564, 23563])).
% 218.54/141.11 tff(23566,plain,
% 218.54/141.11 (~v121(constB13, 1)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23565, 23549])).
% 218.54/141.11 tff(23567,plain,
% 218.54/141.11 ((~(v121(constB13, 1) <=> v124(constB13, 1))) | v121(constB13, 1) | (~v124(constB13, 1))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23568,plain,
% 218.54/141.11 ((~(v121(constB13, 1) <=> v124(constB13, 1))) | (~v124(constB13, 1))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23567, 23566])).
% 218.54/141.11 tff(23569,plain,
% 218.54/141.11 (~v124(constB13, 1)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23568, 23540])).
% 218.54/141.11 tff(23570,plain,
% 218.54/141.11 ((~(v124(constB13, 1) <=> b110(1))) | v124(constB13, 1) | (~b110(1))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23571,plain,
% 218.54/141.11 (~(v124(constB13, 1) <=> b110(1))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23570, 1662, 23569])).
% 218.54/141.11 tff(23572,assumption,(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))), introduced(assumption)).
% 218.54/141.11 tff(23573,plain,
% 218.54/141.11 (v84(constB14, 0) <=> v123(constB14, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23463, 23009])).
% 218.54/141.11 tff(23574,plain,
% 218.54/141.11 ((~(v84(constB14, 0) <=> v123(constB14, 0))) | v84(constB14, 0) | (~v123(constB14, 0))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23575,plain,
% 218.54/141.11 ((~(v84(constB14, 0) <=> v123(constB14, 0))) | (~v123(constB14, 0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23574, 23531])).
% 218.54/141.11 tff(23576,plain,
% 218.54/141.11 (~v123(constB14, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23575, 23573])).
% 218.54/141.11 tff(23577,plain,
% 218.54/141.11 ((~(v123(constB14, 0) <=> v121(constB13, 0))) | v123(constB14, 0) | (~v121(constB13, 0))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23578,plain,
% 218.54/141.11 ((~(v123(constB14, 0) <=> v121(constB13, 0))) | (~v121(constB13, 0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23577, 23576])).
% 218.54/141.11 tff(23579,plain,
% 218.54/141.11 (~v121(constB13, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23578, 23436])).
% 218.54/141.11 tff(23580,plain,
% 218.54/141.11 ((~(v121(constB13, 0) <=> v124(constB13, 0))) | v121(constB13, 0) | (~v124(constB13, 0))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23581,plain,
% 218.54/141.11 ((~(v121(constB13, 0) <=> v124(constB13, 0))) | (~v124(constB13, 0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23580, 23579])).
% 218.54/141.11 tff(23582,plain,
% 218.54/141.11 (~v124(constB13, 0)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23581, 23427])).
% 218.54/141.11 tff(23583,assumption,(~v124(constB13, 0)), introduced(assumption)).
% 218.54/141.11 tff(23584,plain,
% 218.54/141.11 ((~(v124(constB13, 0) <=> b101(0))) | v124(constB13, 0) | (~b101(0))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23585,plain,
% 218.54/141.11 (~(v124(constB13, 0) <=> b101(0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23584, 2042, 23583])).
% 218.54/141.11 tff(23586,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))), introduced(assumption)).
% 218.54/141.11 tff(23587,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 0) <=> b101(0)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23588,plain,
% 218.54/141.11 (($false | $false | (v124(constB13, 0) <=> b101(0))) <=> (v124(constB13, 0) <=> b101(0))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23589,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b101(0))) <=> ($false | $false | (v124(constB13, 0) <=> b101(0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[250, 249])).
% 218.54/141.11 tff(23590,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b101(0))) <=> (v124(constB13, 0) <=> b101(0))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23589, 23588])).
% 218.54/141.11 tff(23591,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 0) <=> b101(0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23590])).
% 218.54/141.11 tff(23592,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 0) <=> b101(0)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23591, 23587])).
% 218.54/141.11 tff(23593,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b101(0)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23594,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 0) <=> b101(0))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23593, 23592])).
% 218.54/141.11 tff(23595,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23594, 23586, 23585])).
% 218.54/141.11 tff(23596,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | v124(constB13, 0)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23597,plain,
% 218.54/141.11 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23596, 23582])).
% 218.54/141.11 tff(23598,plain,
% 218.54/141.11 ((~(v124(constB13, 0) <=> b001(0))) | v124(constB13, 0) | (~b001(0))),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23599,plain,
% 218.54/141.11 (~(v124(constB13, 0) <=> b001(0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23598, 1940, 23583])).
% 218.54/141.11 tff(23600,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))), introduced(assumption)).
% 218.54/141.11 tff(23601,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 0) <=> b001(0)))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23602,plain,
% 218.54/141.11 (($false | $false | (v124(constB13, 0) <=> b001(0))) <=> (v124(constB13, 0) <=> b001(0))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23603,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b001(0))) <=> ($false | $false | (v124(constB13, 0) <=> b001(0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[250, 249])).
% 218.54/141.11 tff(23604,plain,
% 218.54/141.11 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b001(0))) <=> (v124(constB13, 0) <=> b001(0))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23603, 23602])).
% 218.54/141.11 tff(23605,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 0) <=> b001(0)))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23604])).
% 218.54/141.11 tff(23606,plain,
% 218.54/141.11 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 0) <=> b001(0)))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23605, 23601])).
% 218.54/141.11 tff(23607,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b001(0)))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23608,plain,
% 218.54/141.11 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 0) <=> b001(0))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23607, 23606])).
% 218.54/141.11 tff(23609,plain,
% 218.54/141.11 ($false),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23608, 23600, 23599])).
% 218.54/141.11 tff(23610,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | v124(constB13, 0)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.11 tff(23611,plain,
% 218.54/141.11 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23610, 23582])).
% 218.54/141.11 tff(23612,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))), introduced(assumption)).
% 218.54/141.11 tff(23613,plain,
% 218.54/141.11 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23614,plain,
% 218.54/141.11 (((~v113(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))))),
% 218.54/141.11 inference(rewrite,[status(thm)],[])).
% 218.54/141.11 tff(23615,plain,
% 218.54/141.11 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))))),
% 218.54/141.11 inference(monotonicity,[status(thm)],[23614])).
% 218.54/141.11 tff(23616,plain,
% 218.54/141.11 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))))),
% 218.54/141.11 inference(transitivity,[status(thm)],[23615, 23613])).
% 218.54/141.11 tff(23617,plain,
% 218.54/141.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.54/141.11 inference(quant_inst,[status(thm)],[])).
% 218.54/141.11 tff(23618,plain,
% 218.54/141.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))),
% 218.54/141.11 inference(modus_ponens,[status(thm)],[23617, 23616])).
% 218.54/141.11 tff(23619,plain,
% 218.54/141.11 (~v113(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23618, 2117, 23612])).
% 218.54/141.11 tff(23620,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))), introduced(assumption)).
% 218.54/141.11 tff(23621,plain,
% 218.54/141.11 (~v117(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23092, 2090, 23620])).
% 218.54/141.11 tff(23622,plain,
% 218.54/141.11 (((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))) | v84(constB13, 0)),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.11 tff(23623,plain,
% 218.54/141.11 ((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23622, 22853])).
% 218.54/141.11 tff(23624,plain,
% 218.54/141.11 ((~(v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))))) | (~v118(constB13))),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[21897, 23623])).
% 218.54/141.11 tff(23625,plain,
% 218.54/141.11 (~v118(constB13)),
% 218.54/141.11 inference(unit_resolution,[status(thm)],[23624, 21894])).
% 218.54/141.11 tff(23626,plain,
% 218.54/141.11 (((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))) | v84(constB13, 1)),
% 218.54/141.11 inference(tautology,[status(thm)],[])).
% 218.54/141.12 tff(23627,plain,
% 218.54/141.12 ((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[23626, 22851])).
% 218.54/141.12 tff(23628,plain,
% 218.54/141.12 ((~(v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))))) | (~v116(constB13))),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[21807, 23627])).
% 218.54/141.12 tff(23629,plain,
% 218.54/141.12 (~v116(constB13)),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[23628, 21789])).
% 218.54/141.12 tff(23630,plain,
% 218.54/141.12 ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[23241, 22851])).
% 218.54/141.12 tff(23631,plain,
% 218.54/141.12 ((~(v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))))) | (~v115(constB13))),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[21823, 23630])).
% 218.54/141.12 tff(23632,plain,
% 218.54/141.12 (~v115(constB13)),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[23631, 22916])).
% 218.54/141.12 tff(23633,plain,
% 218.54/141.12 ((~(v114(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))))) | (~v114(constB13))),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[21848, 23572])).
% 218.54/141.12 tff(23634,plain,
% 218.54/141.12 (~v114(constB13)),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[23633, 22894])).
% 218.54/141.12 tff(23635,plain,
% 218.54/141.12 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB13) | v114(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))) | v117(constB13))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB13) | v114(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))) | v117(constB13))),
% 218.54/141.12 inference(rewrite,[status(thm)],[])).
% 218.54/141.12 tff(23636,plain,
% 218.54/141.12 ((v118(constB13) | v117(constB13) | v116(constB13) | v115(constB13) | v114(constB13) | v113(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) <=> (v118(constB13) | v114(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))) | v117(constB13))),
% 218.54/141.12 inference(rewrite,[status(thm)],[])).
% 218.54/141.12 tff(23637,plain,
% 218.54/141.12 (^[B: $int] : rewrite(((v124(constB13, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))))),
% 218.54/141.12 inference(bind,[status(th)],[])).
% 218.54/141.12 tff(23638,plain,
% 218.54/141.12 (![B: $int] : ((v124(constB13, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))),
% 218.54/141.12 inference(quant_intro,[status(thm)],[23637])).
% 218.54/141.12 tff(23639,plain,
% 218.54/141.12 ((v118(constB13) | v117(constB13) | v116(constB13) | v115(constB13) | v114(constB13) | v113(constB13) | ![B: $int] : ((v124(constB13, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB13) | v117(constB13) | v116(constB13) | v115(constB13) | v114(constB13) | v113(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))))),
% 218.54/141.12 inference(monotonicity,[status(thm)],[23638])).
% 218.54/141.12 tff(23640,plain,
% 218.54/141.12 ((v118(constB13) | v117(constB13) | v116(constB13) | v115(constB13) | v114(constB13) | v113(constB13) | ![B: $int] : ((v124(constB13, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB13) | v114(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))) | v117(constB13))),
% 218.54/141.12 inference(transitivity,[status(thm)],[23639, 23636])).
% 218.54/141.12 tff(23641,plain,
% 218.54/141.12 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB13) | v117(constB13) | v116(constB13) | v115(constB13) | v114(constB13) | v113(constB13) | ![B: $int] : ((v124(constB13, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB13) | v114(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))) | v117(constB13)))),
% 218.54/141.12 inference(monotonicity,[status(thm)],[23640])).
% 218.54/141.12 tff(23642,plain,
% 218.54/141.12 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB13) | v117(constB13) | v116(constB13) | v115(constB13) | v114(constB13) | v113(constB13) | ![B: $int] : ((v124(constB13, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB13) | v114(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))) | v117(constB13))),
% 218.54/141.12 inference(transitivity,[status(thm)],[23641, 23635])).
% 218.54/141.12 tff(23643,plain,
% 218.54/141.12 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB13) | v117(constB13) | v116(constB13) | v115(constB13) | v114(constB13) | v113(constB13) | ![B: $int] : ((v124(constB13, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.54/141.12 inference(quant_inst,[status(thm)],[])).
% 218.54/141.12 tff(23644,plain,
% 218.54/141.12 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB13) | v114(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))) | v117(constB13)),
% 218.54/141.12 inference(modus_ponens,[status(thm)],[23643, 23642])).
% 218.54/141.12 tff(23645,plain,
% 218.54/141.12 (v113(constB13) | v117(constB13)),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[23644, 1807, 23612, 23634, 23632, 23629, 23625])).
% 218.54/141.12 tff(23646,plain,
% 218.54/141.12 ($false),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[23645, 23621, 23619])).
% 218.54/141.12 tff(23647,plain,(v84(constB13, 0) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B))) | (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))) | v84(constB13, 1)), inference(lemma,lemma(discharge,[]))).
% 218.54/141.12 tff(23648,plain,
% 218.54/141.12 (v84(constB13, 0)),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[23647, 23611, 23597, 23572, 22851])).
% 218.54/141.12 tff(23649,plain,
% 218.54/141.12 (v84(constB13, 2)),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[22903, 23648, 22851, 23572])).
% 218.54/141.12 tff(23650,plain,
% 218.54/141.12 (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[22878, 22851, 23649, 23648])).
% 218.54/141.12 tff(23651,plain,
% 218.54/141.12 ((~(v118(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))))) | v118(constB13)),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[22883, 23650])).
% 218.54/141.12 tff(23652,plain,
% 218.54/141.12 (v118(constB13)),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[23651, 21894])).
% 218.54/141.12 tff(23653,plain,
% 218.54/141.12 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))),
% 218.54/141.12 inference(unit_resolution,[status(thm)],[23118, 1977, 23652])).
% 218.58/141.12 tff(23654,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 1) <=> b110(1)))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23655,plain,
% 218.58/141.12 (($false | $false | (v124(constB13, 1) <=> b110(1))) <=> (v124(constB13, 1) <=> b110(1))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23656,plain,
% 218.58/141.12 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b110(1))) <=> ($false | $false | (v124(constB13, 1) <=> b110(1)))),
% 218.58/141.12 inference(monotonicity,[status(thm)],[402, 401])).
% 218.58/141.12 tff(23657,plain,
% 218.58/141.12 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b110(1))) <=> (v124(constB13, 1) <=> b110(1))),
% 218.58/141.12 inference(transitivity,[status(thm)],[23656, 23655])).
% 218.58/141.12 tff(23658,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 1) <=> b110(1)))),
% 218.58/141.12 inference(monotonicity,[status(thm)],[23657])).
% 218.58/141.12 tff(23659,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 1) <=> b110(1)))),
% 218.58/141.12 inference(transitivity,[status(thm)],[23658, 23654])).
% 218.58/141.12 tff(23660,plain,
% 218.58/141.12 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b110(1)))),
% 218.58/141.12 inference(quant_inst,[status(thm)],[])).
% 218.58/141.12 tff(23661,plain,
% 218.58/141.12 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 1) <=> b110(1))),
% 218.58/141.12 inference(modus_ponens,[status(thm)],[23660, 23659])).
% 218.58/141.12 tff(23662,plain,
% 218.58/141.12 ($false),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23661, 23653, 23571])).
% 218.58/141.12 tff(23663,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))) | v84(constB13, 1) | (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))) | v84(constB14, 1) | v84(constB14, 0)), inference(lemma,lemma(discharge,[]))).
% 218.58/141.12 tff(23664,plain,
% 218.58/141.12 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23663, 22851, 23531, 23530, 23551])).
% 218.58/141.12 tff(23665,plain,
% 218.58/141.12 (~v94(constB14)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23006, 23664])).
% 218.58/141.12 tff(23666,plain,
% 218.58/141.12 ((~v95(constB14)) | (~v104(constB14))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22998, 23665])).
% 218.58/141.12 tff(23667,plain,
% 218.58/141.12 (~v104(constB14)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22995, 23666])).
% 218.58/141.12 tff(23668,plain,
% 218.58/141.12 (~v102(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22964, 23667])).
% 218.58/141.12 tff(23669,plain,
% 218.58/141.12 (~(v105(constB13) | v106(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22961, 23668])).
% 218.58/141.12 tff(23670,plain,
% 218.58/141.12 (~v106(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22958, 23669])).
% 218.58/141.12 tff(23671,plain,
% 218.58/141.12 ((~v107(constB13)) | (~v120(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22956, 23670])).
% 218.58/141.12 tff(23672,plain,
% 218.58/141.12 (~v107(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22953, 23671])).
% 218.58/141.12 tff(23673,plain,
% 218.58/141.12 (~(v108(constB13) | v119(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22944, 23672, 21701])).
% 218.58/141.12 tff(23674,plain,
% 218.58/141.12 (~v108(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22864, 23673])).
% 218.58/141.12 tff(23675,plain,
% 218.58/141.12 (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22932, 22851, 22893])).
% 218.58/141.12 tff(23676,plain,
% 218.58/141.12 (v113(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22929, 23675, 21852])).
% 218.58/141.12 tff(23677,plain,
% 218.58/141.12 (v113(constB13) | v114(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22927, 23676])).
% 218.58/141.12 tff(23678,plain,
% 218.58/141.12 (v112(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22908, 23677, 21827])).
% 218.58/141.12 tff(23679,plain,
% 218.58/141.12 (v112(constB13) | v115(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22906, 23678])).
% 218.58/141.12 tff(23680,plain,
% 218.58/141.12 (v111(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22890, 23679, 21811])).
% 218.58/141.12 tff(23681,plain,
% 218.58/141.12 (v111(constB13) | v116(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22888, 23680])).
% 218.58/141.12 tff(23682,plain,
% 218.58/141.12 (v110(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22938, 23681, 21782])).
% 218.58/141.12 tff(23683,plain,
% 218.58/141.12 (v110(constB13) | v117(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22940, 23682])).
% 218.58/141.12 tff(23684,plain,
% 218.58/141.12 (v109(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22870, 23683, 21780])).
% 218.58/141.12 tff(23685,plain,
% 218.58/141.12 (v109(constB13) | v118(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22868, 23684])).
% 218.58/141.12 tff(23686,plain,
% 218.58/141.12 ($false),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22866, 23685, 23674, 21778])).
% 218.58/141.12 tff(23687,plain,(v84(constB13, 1) | v84(constB13, 2) | v84(constB13, 0) | v84(constB14, 0) | v84(constB14, 1)), inference(lemma,lemma(discharge,[]))).
% 218.58/141.12 tff(23688,plain,
% 218.58/141.12 (v84(constB13, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23687, 23529, 22853, 23531, 23530])).
% 218.58/141.12 tff(23689,plain,
% 218.58/141.12 (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22923, 23688, 23529])).
% 218.58/141.12 tff(23690,plain,
% 218.58/141.12 (v115(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22920, 23689, 22916])).
% 218.58/141.12 tff(23691,plain,
% 218.58/141.12 (v112(constB13) | v115(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22918, 23690])).
% 218.58/141.12 tff(23692,plain,
% 218.58/141.12 (v111(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22890, 23691, 21811])).
% 218.58/141.12 tff(23693,plain,
% 218.58/141.12 (v111(constB13) | v116(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22888, 23692])).
% 218.58/141.12 tff(23694,plain,
% 218.58/141.12 (v110(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22938, 23693, 21782])).
% 218.58/141.12 tff(23695,plain,
% 218.58/141.12 (v110(constB13) | v117(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22940, 23694])).
% 218.58/141.12 tff(23696,plain,
% 218.58/141.12 (v109(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22870, 23695, 21780])).
% 218.58/141.12 tff(23697,plain,
% 218.58/141.12 (v109(constB13) | v118(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22868, 23696])).
% 218.58/141.12 tff(23698,plain,
% 218.58/141.12 (v108(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22866, 23697, 21778])).
% 218.58/141.12 tff(23699,plain,
% 218.58/141.12 (v108(constB13) | v119(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22864, 23698])).
% 218.58/141.12 tff(23700,plain,
% 218.58/141.12 (v107(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22944, 23699, 21701])).
% 218.58/141.12 tff(23701,plain,
% 218.58/141.12 (~((~v107(constB13)) | (~v120(constB13)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22953, 23700])).
% 218.58/141.12 tff(23702,plain,
% 218.58/141.12 (v106(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22956, 23701])).
% 218.58/141.12 tff(23703,plain,
% 218.58/141.12 (v105(constB13) | v106(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22958, 23702])).
% 218.58/141.12 tff(23704,plain,
% 218.58/141.12 (v102(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22961, 23703])).
% 218.58/141.12 tff(23705,plain,
% 218.58/141.12 (v104(constB14)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22964, 23704])).
% 218.58/141.12 tff(23706,plain,
% 218.58/141.12 (~((~v95(constB14)) | (~v104(constB14)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22995, 23705])).
% 218.58/141.12 tff(23707,plain,
% 218.58/141.12 (v94(constB14)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22998, 23706])).
% 218.58/141.12 tff(23708,plain,
% 218.58/141.12 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23006, 23707])).
% 218.58/141.12 tff(23709,plain,
% 218.58/141.12 (v84(constB14, 1) <=> v123(constB14, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23559, 23708])).
% 218.58/141.12 tff(23710,plain,
% 218.58/141.12 (~v123(constB14, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23562, 23709])).
% 218.58/141.12 tff(23711,plain,
% 218.58/141.12 ((~(v123(constB14, 1) <=> v121(constB13, 1))) | (~v121(constB13, 1))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23564, 23710])).
% 218.58/141.12 tff(23712,plain,
% 218.58/141.12 (~v121(constB13, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23711, 23549])).
% 218.58/141.12 tff(23713,plain,
% 218.58/141.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B))))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23714,plain,
% 218.58/141.12 (((~v115(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B))))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23715,plain,
% 218.58/141.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))))),
% 218.58/141.12 inference(monotonicity,[status(thm)],[23714])).
% 218.58/141.12 tff(23716,plain,
% 218.58/141.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B))))),
% 218.58/141.12 inference(transitivity,[status(thm)],[23715, 23713])).
% 218.58/141.12 tff(23717,plain,
% 218.58/141.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.58/141.12 inference(quant_inst,[status(thm)],[])).
% 218.58/141.12 tff(23718,plain,
% 218.58/141.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))),
% 218.58/141.12 inference(modus_ponens,[status(thm)],[23717, 23716])).
% 218.58/141.12 tff(23719,plain,
% 218.58/141.12 ((~v115(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23718, 2144])).
% 218.58/141.12 tff(23720,plain,
% 218.58/141.12 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23719, 23690])).
% 218.58/141.12 tff(23721,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | (v124(constB13, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | (v124(constB13, 1) <=> b011(1)))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23722,plain,
% 218.58/141.12 (($false | $false | (v124(constB13, 1) <=> b011(1))) <=> (v124(constB13, 1) <=> b011(1))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23723,plain,
% 218.58/141.12 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b011(1))) <=> ($false | $false | (v124(constB13, 1) <=> b011(1)))),
% 218.58/141.12 inference(monotonicity,[status(thm)],[402, 401])).
% 218.58/141.12 tff(23724,plain,
% 218.58/141.12 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b011(1))) <=> (v124(constB13, 1) <=> b011(1))),
% 218.58/141.12 inference(transitivity,[status(thm)],[23723, 23722])).
% 218.58/141.12 tff(23725,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | (v124(constB13, 1) <=> b011(1)))),
% 218.58/141.12 inference(monotonicity,[status(thm)],[23724])).
% 218.58/141.12 tff(23726,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | (v124(constB13, 1) <=> b011(1)))),
% 218.58/141.12 inference(transitivity,[status(thm)],[23725, 23721])).
% 218.58/141.12 tff(23727,plain,
% 218.58/141.12 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b011(1)))),
% 218.58/141.12 inference(quant_inst,[status(thm)],[])).
% 218.58/141.12 tff(23728,plain,
% 218.58/141.12 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | (v124(constB13, 1) <=> b011(1))),
% 218.58/141.12 inference(modus_ponens,[status(thm)],[23727, 23726])).
% 218.58/141.12 tff(23729,plain,
% 218.58/141.12 (v124(constB13, 1) <=> b011(1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23728, 23720])).
% 218.58/141.12 tff(23730,plain,
% 218.58/141.12 ((~(v124(constB13, 1) <=> b011(1))) | v124(constB13, 1) | (~b011(1))),
% 218.58/141.12 inference(tautology,[status(thm)],[])).
% 218.58/141.12 tff(23731,plain,
% 218.58/141.12 ((~(v124(constB13, 1) <=> b011(1))) | v124(constB13, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23730, 2593])).
% 218.58/141.12 tff(23732,plain,
% 218.58/141.12 (v124(constB13, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23731, 23729])).
% 218.58/141.12 tff(23733,plain,
% 218.58/141.12 ((~(v121(constB13, 1) <=> v124(constB13, 1))) | v121(constB13, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23567, 23732])).
% 218.58/141.12 tff(23734,plain,
% 218.58/141.12 ($false),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23733, 23712, 23540])).
% 218.58/141.12 tff(23735,plain,(v84(constB13, 0) | v84(constB14, 1) | v84(constB14, 0) | v84(constB12, 2)), inference(lemma,lemma(discharge,[]))).
% 218.58/141.12 tff(23736,plain,
% 218.58/141.12 (v84(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23735, 20074, 23531, 23530])).
% 218.58/141.12 tff(23737,plain,
% 218.58/141.12 (v111(constB13) | v116(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22914, 23736, 23529])).
% 218.58/141.12 tff(23738,plain,
% 218.58/141.12 (v110(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22938, 23737, 21782])).
% 218.58/141.12 tff(23739,plain,
% 218.58/141.12 (v110(constB13) | v117(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22940, 23738])).
% 218.58/141.12 tff(23740,plain,
% 218.58/141.12 (v109(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22870, 23739, 21780])).
% 218.58/141.12 tff(23741,plain,
% 218.58/141.12 (v109(constB13) | v118(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22868, 23740])).
% 218.58/141.12 tff(23742,plain,
% 218.58/141.12 (v108(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22866, 23741, 21778])).
% 218.58/141.12 tff(23743,plain,
% 218.58/141.12 (v108(constB13) | v119(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22864, 23742])).
% 218.58/141.12 tff(23744,plain,
% 218.58/141.12 (v107(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22944, 23743, 21701])).
% 218.58/141.12 tff(23745,plain,
% 218.58/141.12 (~((~v107(constB13)) | (~v120(constB13)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22953, 23744])).
% 218.58/141.12 tff(23746,plain,
% 218.58/141.12 (v106(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22956, 23745])).
% 218.58/141.12 tff(23747,plain,
% 218.58/141.12 (v105(constB13) | v106(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22958, 23746])).
% 218.58/141.12 tff(23748,plain,
% 218.58/141.12 (v102(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22961, 23747])).
% 218.58/141.12 tff(23749,plain,
% 218.58/141.12 (v104(constB14)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22964, 23748])).
% 218.58/141.12 tff(23750,plain,
% 218.58/141.12 (~((~v95(constB14)) | (~v104(constB14)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22995, 23749])).
% 218.58/141.12 tff(23751,plain,
% 218.58/141.12 (v94(constB14)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22998, 23750])).
% 218.58/141.12 tff(23752,plain,
% 218.58/141.12 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23006, 23751])).
% 218.58/141.12 tff(23753,plain,
% 218.58/141.12 (v84(constB14, 2) <=> v123(constB14, 2)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23017, 23752])).
% 218.58/141.12 tff(23754,plain,
% 218.58/141.12 (~v123(constB14, 2)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23080, 23753])).
% 218.58/141.12 tff(23755,plain,
% 218.58/141.12 ((~(v123(constB14, 2) <=> v121(constB13, 2))) | (~v121(constB13, 2))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23041, 23754])).
% 218.58/141.12 tff(23756,plain,
% 218.58/141.12 (~v121(constB13, 2)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23755, 23068])).
% 218.58/141.12 tff(23757,plain,
% 218.58/141.12 ((~(v121(constB13, 2) <=> v124(constB13, 2))) | (~v124(constB13, 2))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23062, 23756])).
% 218.58/141.12 tff(23758,plain,
% 218.58/141.12 (~v124(constB13, 2)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23757, 23067])).
% 218.58/141.12 tff(23759,plain,
% 218.58/141.12 ((~(v124(constB13, 2) <=> b100(2))) | v124(constB13, 2) | (~b100(2))),
% 218.58/141.12 inference(tautology,[status(thm)],[])).
% 218.58/141.12 tff(23760,plain,
% 218.58/141.12 (~(v124(constB13, 2) <=> b100(2))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23759, 2250, 23758])).
% 218.58/141.12 tff(23761,plain,
% 218.58/141.12 (v84(constB14, 0) <=> v123(constB14, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23463, 23752])).
% 218.58/141.12 tff(23762,plain,
% 218.58/141.12 (~v123(constB14, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23575, 23761])).
% 218.58/141.12 tff(23763,plain,
% 218.58/141.12 ((~(v123(constB14, 0) <=> v121(constB13, 0))) | (~v121(constB13, 0))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23577, 23762])).
% 218.58/141.12 tff(23764,plain,
% 218.58/141.12 (~v121(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23763, 23436])).
% 218.58/141.12 tff(23765,plain,
% 218.58/141.12 ((~(v121(constB13, 0) <=> v124(constB13, 0))) | (~v124(constB13, 0))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23580, 23764])).
% 218.58/141.12 tff(23766,plain,
% 218.58/141.12 (~v124(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23765, 23427])).
% 218.58/141.12 tff(23767,plain,
% 218.58/141.12 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23610, 23766])).
% 218.58/141.12 tff(23768,plain,
% 218.58/141.12 (v84(constB14, 1) <=> v123(constB14, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23559, 23752])).
% 218.58/141.12 tff(23769,plain,
% 218.58/141.12 (~v123(constB14, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23562, 23768])).
% 218.58/141.12 tff(23770,plain,
% 218.58/141.12 ((~(v123(constB14, 1) <=> v121(constB13, 1))) | (~v121(constB13, 1))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23564, 23769])).
% 218.58/141.12 tff(23771,plain,
% 218.58/141.12 (~v121(constB13, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23770, 23549])).
% 218.58/141.12 tff(23772,plain,
% 218.58/141.12 ((~(v121(constB13, 1) <=> v124(constB13, 1))) | (~v124(constB13, 1))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23567, 23771])).
% 218.58/141.12 tff(23773,plain,
% 218.58/141.12 (~v124(constB13, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23772, 23540])).
% 218.58/141.12 tff(23774,assumption,(~v124(constB13, 1)), introduced(assumption)).
% 218.58/141.12 tff(23775,plain,
% 218.58/141.12 ((~(v124(constB13, 1) <=> b010(1))) | v124(constB13, 1) | (~b010(1))),
% 218.58/141.12 inference(tautology,[status(thm)],[])).
% 218.58/141.12 tff(23776,plain,
% 218.58/141.12 (~(v124(constB13, 1) <=> b010(1))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23775, 2513, 23774])).
% 218.58/141.12 tff(23777,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))), introduced(assumption)).
% 218.58/141.12 tff(23778,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 1) <=> b010(1)))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23779,plain,
% 218.58/141.12 (($false | $false | (v124(constB13, 1) <=> b010(1))) <=> (v124(constB13, 1) <=> b010(1))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23780,plain,
% 218.58/141.12 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b010(1))) <=> ($false | $false | (v124(constB13, 1) <=> b010(1)))),
% 218.58/141.12 inference(monotonicity,[status(thm)],[402, 401])).
% 218.58/141.12 tff(23781,plain,
% 218.58/141.12 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b010(1))) <=> (v124(constB13, 1) <=> b010(1))),
% 218.58/141.12 inference(transitivity,[status(thm)],[23780, 23779])).
% 218.58/141.12 tff(23782,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 1) <=> b010(1)))),
% 218.58/141.12 inference(monotonicity,[status(thm)],[23781])).
% 218.58/141.12 tff(23783,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 1) <=> b010(1)))),
% 218.58/141.12 inference(transitivity,[status(thm)],[23782, 23778])).
% 218.58/141.12 tff(23784,plain,
% 218.58/141.12 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b010(1)))),
% 218.58/141.12 inference(quant_inst,[status(thm)],[])).
% 218.58/141.12 tff(23785,plain,
% 218.58/141.12 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | (v124(constB13, 1) <=> b010(1))),
% 218.58/141.12 inference(modus_ponens,[status(thm)],[23784, 23783])).
% 218.58/141.12 tff(23786,plain,
% 218.58/141.12 ($false),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23785, 23777, 23776])).
% 218.58/141.12 tff(23787,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))) | v124(constB13, 1)), inference(lemma,lemma(discharge,[]))).
% 218.58/141.12 tff(23788,plain,
% 218.58/141.12 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23787, 23773])).
% 218.58/141.12 tff(23789,plain,
% 218.58/141.12 (~v114(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23473, 23788])).
% 218.58/141.12 tff(23790,plain,
% 218.58/141.12 (((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))) | v84(constB13, 2)),
% 218.58/141.12 inference(tautology,[status(thm)],[])).
% 218.58/141.12 tff(23791,plain,
% 218.58/141.12 ((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23790, 23529])).
% 218.58/141.12 tff(23792,plain,
% 218.58/141.12 (~v118(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21897, 23791, 21894])).
% 218.58/141.12 tff(23793,plain,
% 218.58/141.12 (((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)) | (~v84(constB13, 0))),
% 218.58/141.12 inference(tautology,[status(thm)],[])).
% 218.58/141.12 tff(23794,plain,
% 218.58/141.12 ((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23793, 23736])).
% 218.58/141.12 tff(23795,plain,
% 218.58/141.12 ((~(v117(constB13) <=> (~((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0))))) | (~v117(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21880, 23794])).
% 218.58/141.12 tff(23796,plain,
% 218.58/141.12 (~v117(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23795, 21877])).
% 218.58/141.12 tff(23797,plain,
% 218.58/141.12 (((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)) | (~v84(constB13, 0))),
% 218.58/141.12 inference(tautology,[status(thm)],[])).
% 218.58/141.12 tff(23798,plain,
% 218.58/141.12 ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23797, 23736])).
% 218.58/141.12 tff(23799,plain,
% 218.58/141.12 ((~(v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))))) | (~v115(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21823, 23798])).
% 218.58/141.12 tff(23800,plain,
% 218.58/141.12 (~v115(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23799, 22916])).
% 218.58/141.12 tff(23801,plain,
% 218.58/141.12 (v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23492, 23736])).
% 218.58/141.12 tff(23802,plain,
% 218.58/141.12 ((~(v113(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))))) | (~v113(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21855, 23801])).
% 218.58/141.12 tff(23803,plain,
% 218.58/141.12 (~v113(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23802, 21852])).
% 218.58/141.12 tff(23804,plain,
% 218.58/141.12 (v114(constB13) | v116(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23644, 1807, 23803, 23800, 23796, 23792])).
% 218.58/141.12 tff(23805,plain,
% 218.58/141.12 (v116(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23804, 23789, 23767])).
% 218.58/141.12 tff(23806,plain,
% 218.58/141.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B))))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23807,plain,
% 218.58/141.12 (((~v116(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B))))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23808,plain,
% 218.58/141.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))))),
% 218.58/141.12 inference(monotonicity,[status(thm)],[23807])).
% 218.58/141.12 tff(23809,plain,
% 218.58/141.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B))))),
% 218.58/141.12 inference(transitivity,[status(thm)],[23808, 23806])).
% 218.58/141.12 tff(23810,plain,
% 218.58/141.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB13)) | ![B: $int] : ((v124(constB13, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.58/141.12 inference(quant_inst,[status(thm)],[])).
% 218.58/141.12 tff(23811,plain,
% 218.58/141.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))),
% 218.58/141.12 inference(modus_ponens,[status(thm)],[23810, 23809])).
% 218.58/141.12 tff(23812,plain,
% 218.58/141.12 ((~v116(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23811, 2230])).
% 218.58/141.12 tff(23813,plain,
% 218.58/141.12 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23812, 23805])).
% 218.58/141.12 tff(23814,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 2) <=> b100(2)))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23815,plain,
% 218.58/141.12 (($false | $false | (v124(constB13, 2) <=> b100(2))) <=> (v124(constB13, 2) <=> b100(2))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23816,plain,
% 218.58/141.12 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b100(2))) <=> ($false | $false | (v124(constB13, 2) <=> b100(2)))),
% 218.58/141.12 inference(monotonicity,[status(thm)],[534, 533])).
% 218.58/141.12 tff(23817,plain,
% 218.58/141.12 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b100(2))) <=> (v124(constB13, 2) <=> b100(2))),
% 218.58/141.12 inference(transitivity,[status(thm)],[23816, 23815])).
% 218.58/141.12 tff(23818,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 2) <=> b100(2)))),
% 218.58/141.12 inference(monotonicity,[status(thm)],[23817])).
% 218.58/141.12 tff(23819,plain,
% 218.58/141.12 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 2) <=> b100(2)))),
% 218.58/141.12 inference(transitivity,[status(thm)],[23818, 23814])).
% 218.58/141.12 tff(23820,plain,
% 218.58/141.12 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b100(2)))),
% 218.58/141.12 inference(quant_inst,[status(thm)],[])).
% 218.58/141.12 tff(23821,plain,
% 218.58/141.12 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 2) <=> b100(2))),
% 218.58/141.12 inference(modus_ponens,[status(thm)],[23820, 23819])).
% 218.58/141.12 tff(23822,plain,
% 218.58/141.12 ($false),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23821, 23813, 23760])).
% 218.58/141.12 tff(23823,plain,(v84(constB12, 2) | v84(constB14, 0) | v84(constB14, 1) | v84(constB14, 2)), inference(lemma,lemma(discharge,[]))).
% 218.58/141.12 tff(23824,plain,
% 218.58/141.12 (v84(constB12, 2)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23823, 23523, 23518, 23527])).
% 218.58/141.12 tff(23825,plain,
% 218.58/141.12 ((~(v84(constB13, 2) <=> v84(constB12, 2))) | v84(constB13, 2)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21802, 23824])).
% 218.58/141.12 tff(23826,plain,
% 218.58/141.12 (v84(constB13, 2)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23825, 23524])).
% 218.58/141.12 tff(23827,plain,
% 218.58/141.12 ((v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))) | (~v84(constB13, 2))),
% 218.58/141.12 inference(tautology,[status(thm)],[])).
% 218.58/141.12 tff(23828,plain,
% 218.58/141.12 (v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23827, 21989])).
% 218.58/141.12 tff(23829,plain,
% 218.58/141.12 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23663, 22851, 23531, 23530, 23828])).
% 218.58/141.12 tff(23830,plain,
% 218.58/141.12 (~v94(constB14)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23006, 23829])).
% 218.58/141.12 tff(23831,plain,
% 218.58/141.12 ((~v95(constB14)) | (~v104(constB14))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22998, 23830])).
% 218.58/141.12 tff(23832,plain,
% 218.58/141.12 (~v104(constB14)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22995, 23831])).
% 218.58/141.12 tff(23833,plain,
% 218.58/141.12 (~v102(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22964, 23832])).
% 218.58/141.12 tff(23834,plain,
% 218.58/141.12 (~(v105(constB13) | v106(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22961, 23833])).
% 218.58/141.12 tff(23835,plain,
% 218.58/141.12 (~v106(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22958, 23834])).
% 218.58/141.12 tff(23836,plain,
% 218.58/141.12 (v84(constB14, 0) <=> v123(constB14, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23463, 23078])).
% 218.58/141.12 tff(23837,plain,
% 218.58/141.12 (~v123(constB14, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23575, 23836])).
% 218.58/141.12 tff(23838,plain,
% 218.58/141.12 ((~(v123(constB14, 0) <=> v121(constB13, 0))) | (~v121(constB13, 0))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23577, 23837])).
% 218.58/141.12 tff(23839,plain,
% 218.58/141.12 (~v121(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23838, 23436])).
% 218.58/141.12 tff(23840,plain,
% 218.58/141.12 (~v118(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21897, 23623, 21894])).
% 218.58/141.12 tff(23841,plain,
% 218.58/141.12 (v84(constB13, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23663, 23078, 23531, 23530, 23828])).
% 218.58/141.12 tff(23842,plain,
% 218.58/141.12 ((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21878, 23841])).
% 218.58/141.12 tff(23843,plain,
% 218.58/141.12 (~v117(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21880, 23842, 21877])).
% 218.58/141.12 tff(23844,plain,
% 218.58/141.12 ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21812, 21989])).
% 218.58/141.12 tff(23845,plain,
% 218.58/141.12 ((~(v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))))) | (~v115(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21823, 23844])).
% 218.58/141.12 tff(23846,plain,
% 218.58/141.12 (~v115(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23845, 22916])).
% 218.58/141.12 tff(23847,plain,
% 218.58/141.12 ((~(v114(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))))) | (~v114(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21848, 23828])).
% 218.58/141.12 tff(23848,plain,
% 218.58/141.12 (~v114(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23847, 22894])).
% 218.58/141.12 tff(23849,plain,
% 218.58/141.12 ((v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)) | (~v84(constB13, 2))),
% 218.58/141.12 inference(tautology,[status(thm)],[])).
% 218.58/141.12 tff(23850,plain,
% 218.58/141.12 (v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23849, 21989])).
% 218.58/141.12 tff(23851,plain,
% 218.58/141.12 ((~(v113(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))))) | (~v113(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21855, 23850])).
% 218.58/141.12 tff(23852,plain,
% 218.58/141.12 (~v113(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23851, 21852])).
% 218.58/141.12 tff(23853,plain,
% 218.58/141.12 ((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21805, 21989])).
% 218.58/141.12 tff(23854,plain,
% 218.58/141.12 ((~(v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))))) | (~v116(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21807, 23853])).
% 218.58/141.12 tff(23855,plain,
% 218.58/141.12 (~v116(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23854, 21789])).
% 218.58/141.12 tff(23856,plain,
% 218.58/141.12 (v118(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))) | v117(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23644, 1807, 23855, 23852, 23848, 23846])).
% 218.58/141.12 tff(23857,plain,
% 218.58/141.12 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23856, 23843, 23840])).
% 218.58/141.12 tff(23858,plain,
% 218.58/141.12 (v124(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23610, 23857])).
% 218.58/141.12 tff(23859,plain,
% 218.58/141.12 ((~(v121(constB13, 0) <=> v124(constB13, 0))) | v121(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23580, 23858])).
% 218.58/141.12 tff(23860,plain,
% 218.58/141.12 ($false),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23859, 23839, 23427])).
% 218.58/141.12 tff(23861,plain,(v84(constB13, 0) | v84(constB14, 0) | v84(constB14, 1) | (~v84(constB13, 2))), inference(lemma,lemma(discharge,[]))).
% 218.58/141.12 tff(23862,plain,
% 218.58/141.12 (v84(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23861, 23531, 23530, 21989])).
% 218.58/141.12 tff(23863,plain,
% 218.58/141.12 ((~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))) | v84(constB13, 1) | (~v84(constB13, 0))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22878, 21989])).
% 218.58/141.12 tff(23864,plain,
% 218.58/141.12 (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23863, 22851, 23862])).
% 218.58/141.12 tff(23865,plain,
% 218.58/141.12 (v118(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22883, 23864, 21894])).
% 218.58/141.12 tff(23866,plain,
% 218.58/141.12 (v109(constB13) | v118(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22881, 23865])).
% 218.58/141.12 tff(23867,plain,
% 218.58/141.12 (v108(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22866, 23866, 21778])).
% 218.58/141.12 tff(23868,plain,
% 218.58/141.12 (v108(constB13) | v119(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22864, 23867])).
% 218.58/141.12 tff(23869,plain,
% 218.58/141.12 (v107(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22944, 23868, 21701])).
% 218.58/141.12 tff(23870,plain,
% 218.58/141.12 (~((~v107(constB13)) | (~v120(constB13)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22953, 23869])).
% 218.58/141.12 tff(23871,plain,
% 218.58/141.12 ($false),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22956, 23870, 23835])).
% 218.58/141.12 tff(23872,plain,(v84(constB13, 1) | (~v84(constB13, 2)) | v84(constB14, 0) | v84(constB14, 1)), inference(lemma,lemma(discharge,[]))).
% 218.58/141.12 tff(23873,plain,
% 218.58/141.12 (v84(constB13, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23872, 23826, 23523, 23518])).
% 218.58/141.12 tff(23874,plain,
% 218.58/141.12 (~(v84(constB14, 1) <=> v84(constB13, 1))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22098, 23518, 23873])).
% 218.58/141.12 tff(23875,plain,
% 218.58/141.12 (v84(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23861, 23523, 23518, 23826])).
% 218.58/141.12 tff(23876,plain,
% 218.58/141.12 ((~v84(constB13, 1)) | (~v84(constB13, 2)) | v84(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21772, 23875])).
% 218.58/141.12 tff(23877,plain,
% 218.58/141.12 (~v119(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21774, 23876, 21708])).
% 218.58/141.12 tff(23878,plain,
% 218.58/141.12 ((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21805, 23826])).
% 218.58/141.12 tff(23879,plain,
% 218.58/141.12 ((~(v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))))) | (~v116(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21807, 23878])).
% 218.58/141.12 tff(23880,plain,
% 218.58/141.12 (~v116(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23879, 21789])).
% 218.58/141.12 tff(23881,plain,
% 218.58/141.12 (v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23827, 23826])).
% 218.58/141.12 tff(23882,plain,
% 218.58/141.12 ((~(v114(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))))) | (~v114(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21848, 23881])).
% 218.58/141.12 tff(23883,plain,
% 218.58/141.12 (~v114(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23882, 22894])).
% 218.58/141.12 tff(23884,plain,
% 218.58/141.12 (v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23849, 23826])).
% 218.58/141.12 tff(23885,plain,
% 218.58/141.12 ((~(v113(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | v84(constB13, 2))))) | (~v113(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21855, 23884])).
% 218.58/141.12 tff(23886,plain,
% 218.58/141.12 (~v113(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23885, 21852])).
% 218.58/141.12 tff(23887,plain,
% 218.58/141.12 (~(v113(constB13) | v114(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21858, 23886, 23883])).
% 218.58/141.12 tff(23888,plain,
% 218.58/141.12 ((~(v112(constB13) <=> (v113(constB13) | v114(constB13)))) | (~v112(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21860, 23887])).
% 218.58/141.12 tff(23889,plain,
% 218.58/141.12 (~v112(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23888, 21827])).
% 218.58/141.12 tff(23890,plain,
% 218.58/141.12 ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21812, 23826])).
% 218.58/141.12 tff(23891,plain,
% 218.58/141.12 ((~(v115(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))))) | (~v115(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21823, 23890])).
% 218.58/141.12 tff(23892,plain,
% 218.58/141.12 (~v115(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23891, 22916])).
% 218.58/141.12 tff(23893,plain,
% 218.58/141.12 ((~(v112(constB13) | v115(constB13))) | v112(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21863, 23892])).
% 218.58/141.12 tff(23894,plain,
% 218.58/141.12 (~(v112(constB13) | v115(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23893, 23889])).
% 218.58/141.12 tff(23895,plain,
% 218.58/141.12 (~v111(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21865, 23894, 21811])).
% 218.58/141.12 tff(23896,plain,
% 218.58/141.12 (~(v111(constB13) | v116(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21867, 23895, 23880])).
% 218.58/141.12 tff(23897,plain,
% 218.58/141.12 (~v110(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21869, 23896, 21782])).
% 218.58/141.12 tff(23898,plain,
% 218.58/141.12 ((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23793, 23875])).
% 218.58/141.12 tff(23899,plain,
% 218.58/141.12 (~v117(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21880, 23898, 21877])).
% 218.58/141.12 tff(23900,plain,
% 218.58/141.12 (~(v110(constB13) | v117(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21883, 23899, 23897])).
% 218.58/141.12 tff(23901,plain,
% 218.58/141.12 (~v109(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21886, 23900, 21780])).
% 218.58/141.12 tff(23902,plain,
% 218.58/141.12 ((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21895, 23873])).
% 218.58/141.12 tff(23903,plain,
% 218.58/141.12 (~v118(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21897, 23902, 21894])).
% 218.58/141.12 tff(23904,plain,
% 218.58/141.12 (~(v109(constB13) | v118(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21900, 23903, 23901])).
% 218.58/141.12 tff(23905,plain,
% 218.58/141.12 (~v108(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21903, 23904, 21778])).
% 218.58/141.12 tff(23906,plain,
% 218.58/141.12 (~(v108(constB13) | v119(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21905, 23905, 23877])).
% 218.58/141.12 tff(23907,plain,
% 218.58/141.12 (~v107(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21907, 23906, 21701])).
% 218.58/141.12 tff(23908,plain,
% 218.58/141.12 ((~v107(constB13)) | (~v120(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21909, 23907])).
% 218.58/141.12 tff(23909,plain,
% 218.58/141.12 (~v106(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21914, 23908])).
% 218.58/141.12 tff(23910,plain,
% 218.58/141.12 (~(v105(constB13) | v106(constB13))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21924, 23909])).
% 218.58/141.12 tff(23911,plain,
% 218.58/141.12 (~v102(constB13)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21929, 23910])).
% 218.58/141.12 tff(23912,plain,
% 218.58/141.12 (~v104(constB14)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21939, 23911])).
% 218.58/141.12 tff(23913,plain,
% 218.58/141.12 ((~v95(constB14)) | (~v104(constB14))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21941, 23912])).
% 218.58/141.12 tff(23914,plain,
% 218.58/141.12 (~v94(constB14)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21948, 23913])).
% 218.58/141.12 tff(23915,plain,
% 218.58/141.12 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[21956, 23914])).
% 218.58/141.12 tff(23916,plain,
% 218.58/141.12 ($false),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[22096, 23915, 23874])).
% 218.58/141.12 tff(23917,plain,(v84(constB15, 1) | v84(constB15, 2) | (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.58/141.12 tff(23918,plain,
% 218.58/141.12 (v84(constB15, 1)),
% 218.58/141.12 inference(unit_resolution,[status(thm)],[23917, 23503, 23515])).
% 218.58/141.12 tff(23919,plain,
% 218.58/141.12 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB17) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB17) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B))))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23920,plain,
% 218.58/141.12 ((v105(constB17) | ![B: $int] : ((v121(constB17, B) <=> v124(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB17) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B))))),
% 218.58/141.12 inference(rewrite,[status(thm)],[])).
% 218.58/141.12 tff(23921,plain,
% 218.58/141.12 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB17) | ![B: $int] : ((v121(constB17, B) <=> v124(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB17) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))))),
% 218.58/141.12 inference(monotonicity,[status(thm)],[23920])).
% 218.58/141.12 tff(23922,plain,
% 218.58/141.12 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB17) | ![B: $int] : ((v121(constB17, B) <=> v124(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB17) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B))))),
% 218.58/141.13 inference(transitivity,[status(thm)],[23921, 23919])).
% 218.58/141.13 tff(23923,plain,
% 218.58/141.13 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB17) | ![B: $int] : ((v121(constB17, B) <=> v124(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(23924,plain,
% 218.58/141.13 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB17) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[23923, 23922])).
% 218.58/141.13 tff(23925,plain,
% 218.58/141.13 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23924, 1562, 22441])).
% 218.58/141.13 tff(23926,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 2) <=> v124(constB17, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 2) <=> v124(constB17, 2)))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(23927,plain,
% 218.58/141.13 (($false | $false | (v121(constB17, 2) <=> v124(constB17, 2))) <=> (v121(constB17, 2) <=> v124(constB17, 2))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(23928,plain,
% 218.58/141.13 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB17, 2) <=> v124(constB17, 2))) <=> ($false | $false | (v121(constB17, 2) <=> v124(constB17, 2)))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[534, 533])).
% 218.58/141.13 tff(23929,plain,
% 218.58/141.13 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB17, 2) <=> v124(constB17, 2))) <=> (v121(constB17, 2) <=> v124(constB17, 2))),
% 218.58/141.13 inference(transitivity,[status(thm)],[23928, 23927])).
% 218.58/141.13 tff(23930,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB17, 2) <=> v124(constB17, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 2) <=> v124(constB17, 2)))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[23929])).
% 218.58/141.13 tff(23931,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB17, 2) <=> v124(constB17, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 2) <=> v124(constB17, 2)))),
% 218.58/141.13 inference(transitivity,[status(thm)],[23930, 23926])).
% 218.58/141.13 tff(23932,plain,
% 218.58/141.13 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB17, 2) <=> v124(constB17, 2)))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(23933,plain,
% 218.58/141.13 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 2) <=> v124(constB17, 2))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[23932, 23931])).
% 218.58/141.13 tff(23934,plain,
% 218.58/141.13 (v121(constB17, 2) <=> v124(constB17, 2)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23933, 23925])).
% 218.58/141.13 tff(23935,plain,
% 218.58/141.13 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B))))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(23936,plain,
% 218.58/141.13 (((~nextState(constB17, constB18)) | ![B: $int] : ((v123(constB18, B) <=> v121(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B))))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(23937,plain,
% 218.58/141.13 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB17, constB18)) | ![B: $int] : ((v123(constB18, B) <=> v121(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[23936])).
% 218.58/141.13 tff(23938,plain,
% 218.58/141.13 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB17, constB18)) | ![B: $int] : ((v123(constB18, B) <=> v121(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B))))),
% 218.58/141.13 inference(transitivity,[status(thm)],[23937, 23935])).
% 218.58/141.13 tff(23939,plain,
% 218.58/141.13 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB17, constB18)) | ![B: $int] : ((v123(constB18, B) <=> v121(constB17, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(23940,plain,
% 218.58/141.13 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB17, constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[23939, 23938])).
% 218.58/141.13 tff(23941,plain,
% 218.58/141.13 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23940, 22452, 1527])).
% 218.58/141.13 tff(23942,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 2) <=> v121(constB17, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 2) <=> v121(constB17, 2)))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(23943,plain,
% 218.58/141.13 (($false | $false | (v123(constB18, 2) <=> v121(constB17, 2))) <=> (v123(constB18, 2) <=> v121(constB17, 2))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(23944,plain,
% 218.58/141.13 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB18, 2) <=> v121(constB17, 2))) <=> ($false | $false | (v123(constB18, 2) <=> v121(constB17, 2)))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[534, 533])).
% 218.58/141.13 tff(23945,plain,
% 218.58/141.13 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB18, 2) <=> v121(constB17, 2))) <=> (v123(constB18, 2) <=> v121(constB17, 2))),
% 218.58/141.13 inference(transitivity,[status(thm)],[23944, 23943])).
% 218.58/141.13 tff(23946,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB18, 2) <=> v121(constB17, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 2) <=> v121(constB17, 2)))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[23945])).
% 218.58/141.13 tff(23947,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB18, 2) <=> v121(constB17, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 2) <=> v121(constB17, 2)))),
% 218.58/141.13 inference(transitivity,[status(thm)],[23946, 23942])).
% 218.58/141.13 tff(23948,plain,
% 218.58/141.13 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB18, 2) <=> v121(constB17, 2)))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(23949,plain,
% 218.58/141.13 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 2) <=> v121(constB17, 2))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[23948, 23947])).
% 218.58/141.13 tff(23950,plain,
% 218.58/141.13 (v123(constB18, 2) <=> v121(constB17, 2)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23949, 23941])).
% 218.58/141.13 tff(23951,assumption,(v117(constB17)), introduced(assumption)).
% 218.58/141.13 tff(23952,plain,
% 218.58/141.13 ((v110(constB17) | v117(constB17)) | (~v117(constB17))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23953,plain,
% 218.58/141.13 (v110(constB17) | v117(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23952, 23951])).
% 218.58/141.13 tff(23954,plain,
% 218.58/141.13 ((~(v109(constB17) <=> (v110(constB17) | v117(constB17)))) | v109(constB17) | (~(v110(constB17) | v117(constB17)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23955,plain,
% 218.58/141.13 (v109(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23954, 23953, 21644])).
% 218.58/141.13 tff(23956,plain,
% 218.58/141.13 ((v109(constB17) | v118(constB17)) | (~v109(constB17))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23957,plain,
% 218.58/141.13 (v109(constB17) | v118(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23956, 23955])).
% 218.58/141.13 tff(23958,plain,
% 218.58/141.13 ((~(v108(constB17) <=> (v109(constB17) | v118(constB17)))) | v108(constB17) | (~(v109(constB17) | v118(constB17)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23959,plain,
% 218.58/141.13 (v108(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23958, 23957, 21642])).
% 218.58/141.13 tff(23960,plain,
% 218.58/141.13 ((v108(constB17) | v119(constB17)) | (~v108(constB17))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23961,plain,
% 218.58/141.13 (v108(constB17) | v119(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23960, 23959])).
% 218.58/141.13 tff(23962,plain,
% 218.58/141.13 ((~(v107(constB17) <=> (v108(constB17) | v119(constB17)))) | v107(constB17) | (~(v108(constB17) | v119(constB17)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23963,plain,
% 218.58/141.13 (v107(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23962, 23961, 21640])).
% 218.58/141.13 tff(23964,plain,
% 218.58/141.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB17)) <=> v105(constB17))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(23965,plain,
% 218.58/141.13 ((~v120(constB17)) <=> v105(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23964, 144])).
% 218.58/141.13 tff(23966,plain,
% 218.58/141.13 ((~((~v120(constB17)) <=> v105(constB17))) | v120(constB17) | v105(constB17)),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23967,plain,
% 218.58/141.13 ((~((~v120(constB17)) <=> v105(constB17))) | v120(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23966, 22441])).
% 218.58/141.13 tff(23968,plain,
% 218.58/141.13 (v120(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23967, 23965])).
% 218.58/141.13 tff(23969,plain,
% 218.58/141.13 ((~((~v107(constB17)) | (~v120(constB17)))) | (~v107(constB17)) | (~v120(constB17))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23970,plain,
% 218.58/141.13 ((~((~v107(constB17)) | (~v120(constB17)))) | (~v107(constB17))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23969, 23968])).
% 218.58/141.13 tff(23971,plain,
% 218.58/141.13 (~((~v107(constB17)) | (~v120(constB17)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23970, 23963])).
% 218.58/141.13 tff(23972,plain,
% 218.58/141.13 ((~(v106(constB17) <=> (~((~v107(constB17)) | (~v120(constB17)))))) | v106(constB17) | ((~v107(constB17)) | (~v120(constB17)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23973,plain,
% 218.58/141.13 (v106(constB17) | ((~v107(constB17)) | (~v120(constB17)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23972, 22431])).
% 218.58/141.13 tff(23974,plain,
% 218.58/141.13 (v106(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23973, 23971])).
% 218.58/141.13 tff(23975,plain,
% 218.58/141.13 ((v105(constB17) | v106(constB17)) | (~v106(constB17))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23976,plain,
% 218.58/141.13 (v105(constB17) | v106(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23975, 23974])).
% 218.58/141.13 tff(23977,plain,
% 218.58/141.13 ((~(v102(constB17) <=> (v105(constB17) | v106(constB17)))) | v102(constB17) | (~(v105(constB17) | v106(constB17)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23978,plain,
% 218.58/141.13 (v102(constB17) | (~(v105(constB17) | v106(constB17)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23977, 22446])).
% 218.58/141.13 tff(23979,plain,
% 218.58/141.13 (v102(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23978, 23976])).
% 218.58/141.13 tff(23980,plain,
% 218.58/141.13 ((~(v104(constB18) <=> v102(constB17))) | v104(constB18) | (~v102(constB17))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23981,plain,
% 218.58/141.13 (v104(constB18) | (~v102(constB17))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23980, 22456])).
% 218.58/141.13 tff(23982,plain,
% 218.58/141.13 (v104(constB18)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23981, 23979])).
% 218.58/141.13 tff(23983,plain,
% 218.58/141.13 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(23984,plain,
% 218.58/141.13 (((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18)))))) <=> ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(23985,plain,
% 218.58/141.13 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18)))))))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[23984])).
% 218.58/141.13 tff(23986,plain,
% 218.58/141.13 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))),
% 218.58/141.13 inference(transitivity,[status(thm)],[23985, 23983])).
% 218.58/141.13 tff(23987,plain,
% 218.58/141.13 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18))))))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(23988,plain,
% 218.58/141.13 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18)))))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[23987, 23986])).
% 218.58/141.13 tff(23989,plain,
% 218.58/141.13 (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23988, 22452, 37])).
% 218.58/141.13 tff(23990,plain,
% 218.58/141.13 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18)))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(23991,plain,
% 218.58/141.13 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18)))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(23992,plain,
% 218.58/141.13 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[23991, 23990])).
% 218.58/141.13 tff(23993,plain,
% 218.58/141.13 ((~v96(constB18)) <=> v98(constB18)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23992, 22452, 54])).
% 218.58/141.13 tff(23994,plain,
% 218.58/141.13 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17)))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(23995,plain,
% 218.58/141.13 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17)))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(23996,plain,
% 218.58/141.13 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[23995, 23994])).
% 218.58/141.13 tff(23997,plain,
% 218.58/141.13 (v98(constB18) <=> v1(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23996, 22452, 68])).
% 218.58/141.13 tff(23998,plain,
% 218.58/141.13 ((~(v98(constB18) <=> v1(constB17))) | (~v98(constB18)) | v1(constB17)),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(23999,plain,
% 218.58/141.13 ((~(v98(constB18) <=> v1(constB17))) | (~v98(constB18))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23998, 22208])).
% 218.58/141.13 tff(24000,plain,
% 218.58/141.13 (~v98(constB18)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[23999, 23997])).
% 218.58/141.13 tff(24001,plain,
% 218.58/141.13 ((~((~v96(constB18)) <=> v98(constB18))) | v96(constB18) | v98(constB18)),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24002,plain,
% 218.58/141.13 (v96(constB18)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24001, 24000, 23993])).
% 218.58/141.13 tff(24003,plain,
% 218.58/141.13 (v1(constB18) <=> v1(constB18)),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24004,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18')).
% 218.58/141.13 tff(24005,plain,
% 218.58/141.13 (v1(constB18)),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[24004, 24003])).
% 218.58/141.13 tff(24006,plain,
% 218.58/141.13 ((~((~v1(constB18)) | (~v96(constB18)))) | (~v1(constB18)) | (~v96(constB18))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24007,plain,
% 218.58/141.13 ((~((~v1(constB18)) | (~v96(constB18)))) | (~v96(constB18))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24006, 24005])).
% 218.58/141.13 tff(24008,plain,
% 218.58/141.13 (~((~v1(constB18)) | (~v96(constB18)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24007, 24002])).
% 218.58/141.13 tff(24009,plain,
% 218.58/141.13 ((~(v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18)))))) | v95(constB18) | ((~v1(constB18)) | (~v96(constB18)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24010,plain,
% 218.58/141.13 (v95(constB18)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24009, 24008, 23989])).
% 218.58/141.13 tff(24011,plain,
% 218.58/141.13 ((~((~v95(constB18)) | (~v104(constB18)))) | (~v95(constB18)) | (~v104(constB18))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24012,plain,
% 218.58/141.13 ((~((~v95(constB18)) | (~v104(constB18)))) | (~v104(constB18))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24011, 24010])).
% 218.58/141.13 tff(24013,plain,
% 218.58/141.13 (~((~v95(constB18)) | (~v104(constB18)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24012, 23982])).
% 218.58/141.13 tff(24014,plain,
% 218.58/141.13 ((~(v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18)))))) | v94(constB18) | ((~v95(constB18)) | (~v104(constB18)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24015,plain,
% 218.58/141.13 (v94(constB18) | ((~v95(constB18)) | (~v104(constB18)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24014, 22465])).
% 218.58/141.13 tff(24016,plain,
% 218.58/141.13 (v94(constB18)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24015, 24013])).
% 218.58/141.13 tff(24017,plain,
% 218.58/141.13 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B))))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24018,plain,
% 218.58/141.13 (((~v94(constB18)) | ![B: $int] : ((v84(constB18, B) <=> v123(constB18, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B))))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24019,plain,
% 218.58/141.13 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB18)) | ![B: $int] : ((v84(constB18, B) <=> v123(constB18, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[24018])).
% 218.58/141.13 tff(24020,plain,
% 218.58/141.13 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB18)) | ![B: $int] : ((v84(constB18, B) <=> v123(constB18, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B))))),
% 218.58/141.13 inference(transitivity,[status(thm)],[24019, 24017])).
% 218.58/141.13 tff(24021,plain,
% 218.58/141.13 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB18)) | ![B: $int] : ((v84(constB18, B) <=> v123(constB18, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(24022,plain,
% 218.58/141.13 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[24021, 24020])).
% 218.58/141.13 tff(24023,plain,
% 218.58/141.13 ((~v94(constB18)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24022, 1491])).
% 218.58/141.13 tff(24024,plain,
% 218.58/141.13 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24023, 24016])).
% 218.58/141.13 tff(24025,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 2) <=> v123(constB18, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 2) <=> v123(constB18, 2)))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24026,plain,
% 218.58/141.13 (($false | $false | (v84(constB18, 2) <=> v123(constB18, 2))) <=> (v84(constB18, 2) <=> v123(constB18, 2))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24027,plain,
% 218.58/141.13 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB18, 2) <=> v123(constB18, 2))) <=> ($false | $false | (v84(constB18, 2) <=> v123(constB18, 2)))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[534, 533])).
% 218.58/141.13 tff(24028,plain,
% 218.58/141.13 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB18, 2) <=> v123(constB18, 2))) <=> (v84(constB18, 2) <=> v123(constB18, 2))),
% 218.58/141.13 inference(transitivity,[status(thm)],[24027, 24026])).
% 218.58/141.13 tff(24029,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB18, 2) <=> v123(constB18, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 2) <=> v123(constB18, 2)))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[24028])).
% 218.58/141.13 tff(24030,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB18, 2) <=> v123(constB18, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 2) <=> v123(constB18, 2)))),
% 218.58/141.13 inference(transitivity,[status(thm)],[24029, 24025])).
% 218.58/141.13 tff(24031,plain,
% 218.58/141.13 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB18, 2) <=> v123(constB18, 2)))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(24032,plain,
% 218.58/141.13 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 2) <=> v123(constB18, 2))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[24031, 24030])).
% 218.58/141.13 tff(24033,plain,
% 218.58/141.13 (v84(constB18, 2) <=> v123(constB18, 2)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24032, 24024])).
% 218.58/141.13 tff(24034,plain,
% 218.58/141.13 ((~(v84(constB18, 2) <=> v123(constB18, 2))) | v84(constB18, 2) | (~v123(constB18, 2))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24035,plain,
% 218.58/141.13 ((~(v84(constB18, 2) <=> v123(constB18, 2))) | (~v123(constB18, 2))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24034, 21530])).
% 218.58/141.13 tff(24036,plain,
% 218.58/141.13 (~v123(constB18, 2)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24035, 24033])).
% 218.58/141.13 tff(24037,plain,
% 218.58/141.13 ((~(v123(constB18, 2) <=> v121(constB17, 2))) | v123(constB18, 2) | (~v121(constB17, 2))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24038,plain,
% 218.58/141.13 ((~(v123(constB18, 2) <=> v121(constB17, 2))) | (~v121(constB17, 2))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24037, 24036])).
% 218.58/141.13 tff(24039,plain,
% 218.58/141.13 (~v121(constB17, 2)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24038, 23950])).
% 218.58/141.13 tff(24040,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))), introduced(assumption)).
% 218.58/141.13 tff(24041,plain,
% 218.58/141.13 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B))))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24042,plain,
% 218.58/141.13 (((~v117(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B))))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24043,plain,
% 218.58/141.13 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[24042])).
% 218.58/141.13 tff(24044,plain,
% 218.58/141.13 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B))))),
% 218.58/141.13 inference(transitivity,[status(thm)],[24043, 24041])).
% 218.58/141.13 tff(24045,plain,
% 218.58/141.13 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(24046,plain,
% 218.58/141.13 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[24045, 24044])).
% 218.58/141.13 tff(24047,plain,
% 218.58/141.13 ($false),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24046, 2090, 24040, 23951])).
% 218.58/141.13 tff(24048,plain,((~v117(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 218.58/141.13 tff(24049,plain,
% 218.58/141.13 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24048, 23951])).
% 218.58/141.13 tff(24050,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 2) <=> b101(2)))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24051,plain,
% 218.58/141.13 (($false | $false | (v124(constB17, 2) <=> b101(2))) <=> (v124(constB17, 2) <=> b101(2))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24052,plain,
% 218.58/141.13 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b101(2))) <=> ($false | $false | (v124(constB17, 2) <=> b101(2)))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[534, 533])).
% 218.58/141.13 tff(24053,plain,
% 218.58/141.13 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b101(2))) <=> (v124(constB17, 2) <=> b101(2))),
% 218.58/141.13 inference(transitivity,[status(thm)],[24052, 24051])).
% 218.58/141.13 tff(24054,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 2) <=> b101(2)))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[24053])).
% 218.58/141.13 tff(24055,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 2) <=> b101(2)))),
% 218.58/141.13 inference(transitivity,[status(thm)],[24054, 24050])).
% 218.58/141.13 tff(24056,plain,
% 218.58/141.13 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b101(2)))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(24057,plain,
% 218.58/141.13 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 2) <=> b101(2))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[24056, 24055])).
% 218.58/141.13 tff(24058,plain,
% 218.58/141.13 (v124(constB17, 2) <=> b101(2)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24057, 24049])).
% 218.58/141.13 tff(24059,plain,
% 218.58/141.13 ((~(v124(constB17, 2) <=> b101(2))) | v124(constB17, 2) | (~b101(2))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24060,plain,
% 218.58/141.13 ((~(v124(constB17, 2) <=> b101(2))) | v124(constB17, 2)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24059, 2354])).
% 218.58/141.13 tff(24061,plain,
% 218.58/141.13 (v124(constB17, 2)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24060, 24058])).
% 218.58/141.13 tff(24062,plain,
% 218.58/141.13 ((~(v121(constB17, 2) <=> v124(constB17, 2))) | v121(constB17, 2) | (~v124(constB17, 2))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24063,plain,
% 218.58/141.13 ((~(v121(constB17, 2) <=> v124(constB17, 2))) | v121(constB17, 2)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24062, 24061])).
% 218.58/141.13 tff(24064,plain,
% 218.58/141.13 ($false),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24063, 24039, 23934])).
% 218.58/141.13 tff(24065,plain,((~v117(constB17)) | v84(constB18, 2)), inference(lemma,lemma(discharge,[]))).
% 218.58/141.13 tff(24066,plain,
% 218.58/141.13 (~v117(constB17)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24065, 21530])).
% 218.58/141.13 tff(24067,plain,
% 218.58/141.13 ((~(v117(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))))) | v117(constB17) | (v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24068,plain,
% 218.58/141.13 (v117(constB17) | (v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24067, 22390])).
% 218.58/141.13 tff(24069,plain,
% 218.58/141.13 (v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24068, 24066])).
% 218.58/141.13 tff(24070,assumption,(~(v123(constB16, 1) <=> v121(constB15, 1))), introduced(assumption)).
% 218.58/141.13 tff(24071,plain,
% 218.58/141.13 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B))))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24072,plain,
% 218.58/141.13 (((~nextState(constB15, constB16)) | ![B: $int] : ((v123(constB16, B) <=> v121(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B))))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24073,plain,
% 218.58/141.13 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB15, constB16)) | ![B: $int] : ((v123(constB16, B) <=> v121(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[24072])).
% 218.58/141.13 tff(24074,plain,
% 218.58/141.13 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB15, constB16)) | ![B: $int] : ((v123(constB16, B) <=> v121(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B))))),
% 218.58/141.13 inference(transitivity,[status(thm)],[24073, 24071])).
% 218.58/141.13 tff(24075,plain,
% 218.58/141.13 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB15, constB16)) | ![B: $int] : ((v123(constB16, B) <=> v121(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(24076,plain,
% 218.58/141.13 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB15, constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[24075, 24074])).
% 218.58/141.13 tff(24077,plain,
% 218.58/141.13 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24076, 22154, 1527])).
% 218.58/141.13 tff(24078,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 1) <=> v121(constB15, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 1) <=> v121(constB15, 1)))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24079,plain,
% 218.58/141.13 (($false | $false | (v123(constB16, 1) <=> v121(constB15, 1))) <=> (v123(constB16, 1) <=> v121(constB15, 1))),
% 218.58/141.13 inference(rewrite,[status(thm)],[])).
% 218.58/141.13 tff(24080,plain,
% 218.58/141.13 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB16, 1) <=> v121(constB15, 1))) <=> ($false | $false | (v123(constB16, 1) <=> v121(constB15, 1)))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[402, 401])).
% 218.58/141.13 tff(24081,plain,
% 218.58/141.13 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB16, 1) <=> v121(constB15, 1))) <=> (v123(constB16, 1) <=> v121(constB15, 1))),
% 218.58/141.13 inference(transitivity,[status(thm)],[24080, 24079])).
% 218.58/141.13 tff(24082,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB16, 1) <=> v121(constB15, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 1) <=> v121(constB15, 1)))),
% 218.58/141.13 inference(monotonicity,[status(thm)],[24081])).
% 218.58/141.13 tff(24083,plain,
% 218.58/141.13 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB16, 1) <=> v121(constB15, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 1) <=> v121(constB15, 1)))),
% 218.58/141.13 inference(transitivity,[status(thm)],[24082, 24078])).
% 218.58/141.13 tff(24084,plain,
% 218.58/141.13 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB16, 1) <=> v121(constB15, 1)))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(24085,plain,
% 218.58/141.13 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 1) <=> v121(constB15, 1))),
% 218.58/141.13 inference(modus_ponens,[status(thm)],[24084, 24083])).
% 218.58/141.13 tff(24086,plain,
% 218.58/141.13 ($false),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24085, 24077, 24070])).
% 218.58/141.13 tff(24087,plain,(v123(constB16, 1) <=> v121(constB15, 1)), inference(lemma,lemma(discharge,[]))).
% 218.58/141.13 tff(24088,assumption,(v84(constB15, 1)), introduced(assumption)).
% 218.58/141.13 tff(24089,assumption,(~(v111(constB15) | v116(constB15))), introduced(assumption)).
% 218.58/141.13 tff(24090,plain,
% 218.58/141.13 ((v111(constB15) | v116(constB15)) | (~v116(constB15))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24091,plain,
% 218.58/141.13 (~v116(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24090, 24089])).
% 218.58/141.13 tff(24092,plain,
% 218.58/141.13 ((~(v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))))) | v116(constB15) | (v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24093,plain,
% 218.58/141.13 (v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24092, 24091, 21988])).
% 218.58/141.13 tff(24094,plain,
% 218.58/141.13 ((~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))) | v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24095,plain,
% 218.58/141.13 ((~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24094, 24088])).
% 218.58/141.13 tff(24096,plain,
% 218.58/141.13 (~v84(constB15, 0)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24095, 24093, 23503])).
% 218.58/141.13 tff(24097,plain,
% 218.58/141.13 ((v111(constB15) | v116(constB15)) | (~v111(constB15))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24098,plain,
% 218.58/141.13 (~v111(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24097, 24089])).
% 218.58/141.13 tff(24099,plain,
% 218.58/141.13 ((~(v111(constB15) <=> (v112(constB15) | v115(constB15)))) | v111(constB15) | (~(v112(constB15) | v115(constB15)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24100,plain,
% 218.58/141.13 (~(v112(constB15) | v115(constB15))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24099, 24098, 22025])).
% 218.58/141.13 tff(24101,plain,
% 218.58/141.13 ((v112(constB15) | v115(constB15)) | (~v115(constB15))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24102,plain,
% 218.58/141.13 (~v115(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24101, 24100])).
% 218.58/141.13 tff(24103,plain,
% 218.58/141.13 ((~(v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))) | v115(constB15) | (v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24104,plain,
% 218.58/141.13 (v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24103, 24102, 22053])).
% 218.58/141.13 tff(24105,plain,
% 218.58/141.13 ((~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))) | v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24106,plain,
% 218.58/141.13 ((~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))) | v84(constB15, 2) | v84(constB15, 0)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24105, 24088])).
% 218.58/141.13 tff(24107,plain,
% 218.58/141.13 ($false),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24106, 24104, 24096, 23503])).
% 218.58/141.13 tff(24108,plain,((v111(constB15) | v116(constB15)) | v84(constB15, 2) | (~v84(constB15, 1))), inference(lemma,lemma(discharge,[]))).
% 218.58/141.13 tff(24109,plain,
% 218.58/141.13 (v111(constB15) | v116(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24108, 24088, 23503])).
% 218.58/141.13 tff(24110,plain,
% 218.58/141.13 ((~(v110(constB15) <=> (v111(constB15) | v116(constB15)))) | v110(constB15) | (~(v111(constB15) | v116(constB15)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24111,plain,
% 218.58/141.13 (v110(constB15) | (~(v111(constB15) | v116(constB15)))),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24110, 22069])).
% 218.58/141.13 tff(24112,plain,
% 218.58/141.13 (v110(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24111, 24109])).
% 218.58/141.13 tff(24113,plain,
% 218.58/141.13 ((v110(constB15) | v117(constB15)) | (~v110(constB15))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24114,plain,
% 218.58/141.13 (v110(constB15) | v117(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24113, 24112])).
% 218.58/141.13 tff(24115,plain,
% 218.58/141.13 ((~(v109(constB15) <=> (v110(constB15) | v117(constB15)))) | v109(constB15) | (~(v110(constB15) | v117(constB15)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24116,plain,
% 218.58/141.13 (v109(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24115, 24114, 21981])).
% 218.58/141.13 tff(24117,plain,
% 218.58/141.13 ((v109(constB15) | v118(constB15)) | (~v109(constB15))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24118,plain,
% 218.58/141.13 (v109(constB15) | v118(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24117, 24116])).
% 218.58/141.13 tff(24119,plain,
% 218.58/141.13 ((~(v108(constB15) <=> (v109(constB15) | v118(constB15)))) | v108(constB15) | (~(v109(constB15) | v118(constB15)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24120,plain,
% 218.58/141.13 (v108(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24119, 24118, 21979])).
% 218.58/141.13 tff(24121,plain,
% 218.58/141.13 ((v108(constB15) | v119(constB15)) | (~v108(constB15))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24122,plain,
% 218.58/141.13 (v108(constB15) | v119(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24121, 24120])).
% 218.58/141.13 tff(24123,plain,
% 218.58/141.13 ((~(v107(constB15) <=> (v108(constB15) | v119(constB15)))) | v107(constB15) | (~(v108(constB15) | v119(constB15)))),
% 218.58/141.13 inference(tautology,[status(thm)],[])).
% 218.58/141.13 tff(24124,plain,
% 218.58/141.13 (v107(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24123, 24122, 21654])).
% 218.58/141.13 tff(24125,plain,
% 218.58/141.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB15)) <=> v105(constB15))),
% 218.58/141.13 inference(quant_inst,[status(thm)],[])).
% 218.58/141.13 tff(24126,plain,
% 218.58/141.13 ((~v120(constB15)) <=> v105(constB15)),
% 218.58/141.13 inference(unit_resolution,[status(thm)],[24125, 144])).
% 218.58/141.14 tff(24127,plain,
% 218.58/141.14 ((~((~v120(constB15)) <=> v105(constB15))) | v120(constB15) | v105(constB15)),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24128,plain,
% 218.58/141.14 ((~((~v120(constB15)) <=> v105(constB15))) | v120(constB15)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24127, 22143])).
% 218.58/141.14 tff(24129,plain,
% 218.58/141.14 (v120(constB15)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24128, 24126])).
% 218.58/141.14 tff(24130,plain,
% 218.58/141.14 ((~((~v107(constB15)) | (~v120(constB15)))) | (~v107(constB15)) | (~v120(constB15))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24131,plain,
% 218.58/141.14 ((~((~v107(constB15)) | (~v120(constB15)))) | (~v107(constB15))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24130, 24129])).
% 218.58/141.14 tff(24132,plain,
% 218.58/141.14 (~((~v107(constB15)) | (~v120(constB15)))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24131, 24124])).
% 218.58/141.14 tff(24133,plain,
% 218.58/141.14 ((~(v106(constB15) <=> (~((~v107(constB15)) | (~v120(constB15)))))) | v106(constB15) | ((~v107(constB15)) | (~v120(constB15)))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24134,plain,
% 218.58/141.14 (v106(constB15) | ((~v107(constB15)) | (~v120(constB15)))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24133, 22133])).
% 218.58/141.14 tff(24135,plain,
% 218.58/141.14 (v106(constB15)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24134, 24132])).
% 218.58/141.14 tff(24136,plain,
% 218.58/141.14 ((v105(constB15) | v106(constB15)) | (~v106(constB15))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24137,plain,
% 218.58/141.14 (v105(constB15) | v106(constB15)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24136, 24135])).
% 218.58/141.14 tff(24138,plain,
% 218.58/141.14 ((~(v102(constB15) <=> (v105(constB15) | v106(constB15)))) | v102(constB15) | (~(v105(constB15) | v106(constB15)))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24139,plain,
% 218.58/141.14 (v102(constB15) | (~(v105(constB15) | v106(constB15)))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24138, 22148])).
% 218.58/141.14 tff(24140,plain,
% 218.58/141.14 (v102(constB15)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24139, 24137])).
% 218.58/141.14 tff(24141,plain,
% 218.58/141.14 ((~(v104(constB16) <=> v102(constB15))) | v104(constB16) | (~v102(constB15))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24142,plain,
% 218.58/141.14 (v104(constB16) | (~v102(constB15))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24141, 22158])).
% 218.58/141.14 tff(24143,plain,
% 218.58/141.14 (v104(constB16)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24142, 24140])).
% 218.58/141.14 tff(24144,plain,
% 218.58/141.14 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24145,plain,
% 218.58/141.14 (((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16)))))) <=> ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24146,plain,
% 218.58/141.14 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16)))))))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24145])).
% 218.58/141.14 tff(24147,plain,
% 218.58/141.14 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24146, 24144])).
% 218.58/141.14 tff(24148,plain,
% 218.58/141.14 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16))))))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24149,plain,
% 218.58/141.14 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16)))))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24148, 24147])).
% 218.58/141.14 tff(24150,plain,
% 218.58/141.14 (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24149, 22154, 37])).
% 218.58/141.14 tff(24151,plain,
% 218.58/141.14 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16)))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24152,plain,
% 218.58/141.14 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16)))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24153,plain,
% 218.58/141.14 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24152, 24151])).
% 218.58/141.14 tff(24154,plain,
% 218.58/141.14 ((~v96(constB16)) <=> v98(constB16)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24153, 22154, 54])).
% 218.58/141.14 tff(24155,plain,
% 218.58/141.14 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15)))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24156,plain,
% 218.58/141.14 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15)))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24157,plain,
% 218.58/141.14 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24156, 24155])).
% 218.58/141.14 tff(24158,plain,
% 218.58/141.14 (v98(constB16) <=> v1(constB15)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24157, 22154, 68])).
% 218.58/141.14 tff(24159,plain,
% 218.58/141.14 ((~(v98(constB16) <=> v1(constB15))) | (~v98(constB16)) | v1(constB15)),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24160,plain,
% 218.58/141.14 ((~(v98(constB16) <=> v1(constB15))) | (~v98(constB16))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24159, 21673])).
% 218.58/141.14 tff(24161,plain,
% 218.58/141.14 (~v98(constB16)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24160, 24158])).
% 218.58/141.14 tff(24162,plain,
% 218.58/141.14 ((~((~v96(constB16)) <=> v98(constB16))) | v96(constB16) | v98(constB16)),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24163,plain,
% 218.58/141.14 (v96(constB16)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24162, 24161, 24154])).
% 218.58/141.14 tff(24164,plain,
% 218.58/141.14 (v1(constB16) <=> v1(constB16)),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24165,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16')).
% 218.58/141.14 tff(24166,plain,
% 218.58/141.14 (v1(constB16)),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24165, 24164])).
% 218.58/141.14 tff(24167,plain,
% 218.58/141.14 ((~((~v1(constB16)) | (~v96(constB16)))) | (~v1(constB16)) | (~v96(constB16))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24168,plain,
% 218.58/141.14 ((~((~v1(constB16)) | (~v96(constB16)))) | (~v96(constB16))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24167, 24166])).
% 218.58/141.14 tff(24169,plain,
% 218.58/141.14 (~((~v1(constB16)) | (~v96(constB16)))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24168, 24163])).
% 218.58/141.14 tff(24170,plain,
% 218.58/141.14 ((~(v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16)))))) | v95(constB16) | ((~v1(constB16)) | (~v96(constB16)))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24171,plain,
% 218.58/141.14 (v95(constB16)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24170, 24169, 24150])).
% 218.58/141.14 tff(24172,plain,
% 218.58/141.14 ((~((~v95(constB16)) | (~v104(constB16)))) | (~v95(constB16)) | (~v104(constB16))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24173,plain,
% 218.58/141.14 ((~((~v95(constB16)) | (~v104(constB16)))) | (~v104(constB16))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24172, 24171])).
% 218.58/141.14 tff(24174,plain,
% 218.58/141.14 (~((~v95(constB16)) | (~v104(constB16)))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24173, 24143])).
% 218.58/141.14 tff(24175,plain,
% 218.58/141.14 ((~(v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16)))))) | v94(constB16) | ((~v95(constB16)) | (~v104(constB16)))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24176,plain,
% 218.58/141.14 (v94(constB16) | ((~v95(constB16)) | (~v104(constB16)))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24175, 22167])).
% 218.58/141.14 tff(24177,plain,
% 218.58/141.14 (v94(constB16)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24176, 24174])).
% 218.58/141.14 tff(24178,plain,
% 218.58/141.14 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B))))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24179,plain,
% 218.58/141.14 (((~v94(constB16)) | ![B: $int] : ((v84(constB16, B) <=> v123(constB16, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B))))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24180,plain,
% 218.58/141.14 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB16)) | ![B: $int] : ((v84(constB16, B) <=> v123(constB16, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24179])).
% 218.58/141.14 tff(24181,plain,
% 218.58/141.14 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB16)) | ![B: $int] : ((v84(constB16, B) <=> v123(constB16, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B))))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24180, 24178])).
% 218.58/141.14 tff(24182,plain,
% 218.58/141.14 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB16)) | ![B: $int] : ((v84(constB16, B) <=> v123(constB16, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24183,plain,
% 218.58/141.14 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24182, 24181])).
% 218.58/141.14 tff(24184,plain,
% 218.58/141.14 ((~v94(constB16)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24183, 1491])).
% 218.58/141.14 tff(24185,plain,
% 218.58/141.14 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24184, 24177])).
% 218.58/141.14 tff(24186,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 1) <=> v123(constB16, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 1) <=> v123(constB16, 1)))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24187,plain,
% 218.58/141.14 (($false | $false | (v84(constB16, 1) <=> v123(constB16, 1))) <=> (v84(constB16, 1) <=> v123(constB16, 1))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24188,plain,
% 218.58/141.14 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB16, 1) <=> v123(constB16, 1))) <=> ($false | $false | (v84(constB16, 1) <=> v123(constB16, 1)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[402, 401])).
% 218.58/141.14 tff(24189,plain,
% 218.58/141.14 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB16, 1) <=> v123(constB16, 1))) <=> (v84(constB16, 1) <=> v123(constB16, 1))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24188, 24187])).
% 218.58/141.14 tff(24190,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB16, 1) <=> v123(constB16, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 1) <=> v123(constB16, 1)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24189])).
% 218.58/141.14 tff(24191,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB16, 1) <=> v123(constB16, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 1) <=> v123(constB16, 1)))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24190, 24186])).
% 218.58/141.14 tff(24192,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB16, 1) <=> v123(constB16, 1)))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24193,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 1) <=> v123(constB16, 1))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24192, 24191])).
% 218.58/141.14 tff(24194,plain,
% 218.58/141.14 (v84(constB16, 1) <=> v123(constB16, 1)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24193, 24185])).
% 218.58/141.14 tff(24195,assumption,(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))), introduced(assumption)).
% 218.58/141.14 tff(24196,assumption,(~v84(constB17, 0)), introduced(assumption)).
% 218.58/141.14 tff(24197,assumption,(~v84(constB17, 1)), introduced(assumption)).
% 218.58/141.14 tff(24198,plain,
% 218.58/141.14 ((~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))) | v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24199,plain,
% 218.58/141.14 (~v84(constB17, 2)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24198, 24197, 24196, 24195])).
% 218.58/141.14 tff(24200,plain,
% 218.58/141.14 (~v84(constB16, 0)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[22272, 24196])).
% 218.58/141.14 tff(24201,plain,
% 218.58/141.14 (~v84(constB16, 1)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[22237, 24197])).
% 218.58/141.14 tff(24202,assumption,(~v84(constB16, 2)), introduced(assumption)).
% 218.58/141.14 tff(24203,assumption,(~v84(constB16, 1)), introduced(assumption)).
% 218.58/141.14 tff(24204,plain,
% 218.58/141.14 (v110(constB15) <=> (v111(constB15) | v116(constB15))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[22067, 265])).
% 218.58/141.14 tff(24205,plain,
% 218.58/141.14 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B))))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24206,plain,
% 218.58/141.14 ((v105(constB15) | ![B: $int] : ((v121(constB15, B) <=> v124(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B))))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24207,plain,
% 218.58/141.14 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB15) | ![B: $int] : ((v121(constB15, B) <=> v124(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24206])).
% 218.58/141.14 tff(24208,plain,
% 218.58/141.14 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB15) | ![B: $int] : ((v121(constB15, B) <=> v124(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B))))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24207, 24205])).
% 218.58/141.14 tff(24209,plain,
% 218.58/141.14 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB15) | ![B: $int] : ((v121(constB15, B) <=> v124(constB15, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24210,plain,
% 218.58/141.14 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24209, 24208])).
% 218.58/141.14 tff(24211,plain,
% 218.58/141.14 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24210, 1562, 22143])).
% 218.58/141.14 tff(24212,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 2) <=> v124(constB15, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 2) <=> v124(constB15, 2)))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24213,plain,
% 218.58/141.14 (($false | $false | (v121(constB15, 2) <=> v124(constB15, 2))) <=> (v121(constB15, 2) <=> v124(constB15, 2))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24214,plain,
% 218.58/141.14 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB15, 2) <=> v124(constB15, 2))) <=> ($false | $false | (v121(constB15, 2) <=> v124(constB15, 2)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[534, 533])).
% 218.58/141.14 tff(24215,plain,
% 218.58/141.14 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB15, 2) <=> v124(constB15, 2))) <=> (v121(constB15, 2) <=> v124(constB15, 2))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24214, 24213])).
% 218.58/141.14 tff(24216,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB15, 2) <=> v124(constB15, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 2) <=> v124(constB15, 2)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24215])).
% 218.58/141.14 tff(24217,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB15, 2) <=> v124(constB15, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 2) <=> v124(constB15, 2)))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24216, 24212])).
% 218.58/141.14 tff(24218,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB15, 2) <=> v124(constB15, 2)))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24219,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 2) <=> v124(constB15, 2))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24218, 24217])).
% 218.58/141.14 tff(24220,plain,
% 218.58/141.14 (v121(constB15, 2) <=> v124(constB15, 2)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24219, 24211])).
% 218.58/141.14 tff(24221,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 2) <=> v121(constB15, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 2) <=> v121(constB15, 2)))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24222,plain,
% 218.58/141.14 (($false | $false | (v123(constB16, 2) <=> v121(constB15, 2))) <=> (v123(constB16, 2) <=> v121(constB15, 2))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24223,plain,
% 218.58/141.14 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB16, 2) <=> v121(constB15, 2))) <=> ($false | $false | (v123(constB16, 2) <=> v121(constB15, 2)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[534, 533])).
% 218.58/141.14 tff(24224,plain,
% 218.58/141.14 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB16, 2) <=> v121(constB15, 2))) <=> (v123(constB16, 2) <=> v121(constB15, 2))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24223, 24222])).
% 218.58/141.14 tff(24225,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB16, 2) <=> v121(constB15, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 2) <=> v121(constB15, 2)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24224])).
% 218.58/141.14 tff(24226,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB16, 2) <=> v121(constB15, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 2) <=> v121(constB15, 2)))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24225, 24221])).
% 218.58/141.14 tff(24227,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB16, 2) <=> v121(constB15, 2)))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24228,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 2) <=> v121(constB15, 2))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24227, 24226])).
% 218.58/141.14 tff(24229,plain,
% 218.58/141.14 (v123(constB16, 2) <=> v121(constB15, 2)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24228, 24077])).
% 218.58/141.14 tff(24230,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))), introduced(assumption)).
% 218.58/141.14 tff(24231,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 2) <=> v123(constB16, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 2) <=> v123(constB16, 2)))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24232,plain,
% 218.58/141.14 (($false | $false | (v84(constB16, 2) <=> v123(constB16, 2))) <=> (v84(constB16, 2) <=> v123(constB16, 2))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24233,plain,
% 218.58/141.14 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB16, 2) <=> v123(constB16, 2))) <=> ($false | $false | (v84(constB16, 2) <=> v123(constB16, 2)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[534, 533])).
% 218.58/141.14 tff(24234,plain,
% 218.58/141.14 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB16, 2) <=> v123(constB16, 2))) <=> (v84(constB16, 2) <=> v123(constB16, 2))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24233, 24232])).
% 218.58/141.14 tff(24235,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB16, 2) <=> v123(constB16, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 2) <=> v123(constB16, 2)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24234])).
% 218.58/141.14 tff(24236,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB16, 2) <=> v123(constB16, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 2) <=> v123(constB16, 2)))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24235, 24231])).
% 218.58/141.14 tff(24237,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB16, 2) <=> v123(constB16, 2)))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24238,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 2) <=> v123(constB16, 2))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24237, 24236])).
% 218.58/141.14 tff(24239,plain,
% 218.58/141.14 (v84(constB16, 2) <=> v123(constB16, 2)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24238, 24230])).
% 218.58/141.14 tff(24240,plain,
% 218.58/141.14 ((~(v84(constB16, 2) <=> v123(constB16, 2))) | v84(constB16, 2) | (~v123(constB16, 2))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24241,plain,
% 218.58/141.14 ((~(v84(constB16, 2) <=> v123(constB16, 2))) | (~v123(constB16, 2))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24240, 24202])).
% 218.58/141.14 tff(24242,plain,
% 218.58/141.14 (~v123(constB16, 2)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24241, 24239])).
% 218.58/141.14 tff(24243,plain,
% 218.58/141.14 ((~(v123(constB16, 2) <=> v121(constB15, 2))) | v123(constB16, 2) | (~v121(constB15, 2))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24244,plain,
% 218.58/141.14 ((~(v123(constB16, 2) <=> v121(constB15, 2))) | (~v121(constB15, 2))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24243, 24242])).
% 218.58/141.14 tff(24245,plain,
% 218.58/141.14 (~v121(constB15, 2)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24244, 24229])).
% 218.58/141.14 tff(24246,plain,
% 218.58/141.14 ((~(v121(constB15, 2) <=> v124(constB15, 2))) | v121(constB15, 2) | (~v124(constB15, 2))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24247,plain,
% 218.58/141.14 ((~(v121(constB15, 2) <=> v124(constB15, 2))) | (~v124(constB15, 2))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24246, 24245])).
% 218.58/141.14 tff(24248,plain,
% 218.58/141.14 (~v124(constB15, 2)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24247, 24220])).
% 218.58/141.14 tff(24249,plain,
% 218.58/141.14 ((~(v124(constB15, 2) <=> b110(2))) | v124(constB15, 2) | (~b110(2))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24250,plain,
% 218.58/141.14 (~(v124(constB15, 2) <=> b110(2))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24249, 1598, 24248])).
% 218.58/141.14 tff(24251,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 0) <=> v124(constB15, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 0) <=> v124(constB15, 0)))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24252,plain,
% 218.58/141.14 (($false | $false | (v121(constB15, 0) <=> v124(constB15, 0))) <=> (v121(constB15, 0) <=> v124(constB15, 0))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24253,plain,
% 218.58/141.14 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB15, 0) <=> v124(constB15, 0))) <=> ($false | $false | (v121(constB15, 0) <=> v124(constB15, 0)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[250, 249])).
% 218.58/141.14 tff(24254,plain,
% 218.58/141.14 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB15, 0) <=> v124(constB15, 0))) <=> (v121(constB15, 0) <=> v124(constB15, 0))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24253, 24252])).
% 218.58/141.14 tff(24255,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB15, 0) <=> v124(constB15, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 0) <=> v124(constB15, 0)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24254])).
% 218.58/141.14 tff(24256,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB15, 0) <=> v124(constB15, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 0) <=> v124(constB15, 0)))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24255, 24251])).
% 218.58/141.14 tff(24257,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB15, 0) <=> v124(constB15, 0)))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24258,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 0) <=> v124(constB15, 0))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 218.58/141.14 tff(24259,plain,
% 218.58/141.14 (v121(constB15, 0) <=> v124(constB15, 0)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24258, 24211])).
% 218.58/141.14 tff(24260,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 0) <=> v121(constB15, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 0) <=> v121(constB15, 0)))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24261,plain,
% 218.58/141.14 (($false | $false | (v123(constB16, 0) <=> v121(constB15, 0))) <=> (v123(constB16, 0) <=> v121(constB15, 0))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24262,plain,
% 218.58/141.14 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB16, 0) <=> v121(constB15, 0))) <=> ($false | $false | (v123(constB16, 0) <=> v121(constB15, 0)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[250, 249])).
% 218.58/141.14 tff(24263,plain,
% 218.58/141.14 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB16, 0) <=> v121(constB15, 0))) <=> (v123(constB16, 0) <=> v121(constB15, 0))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24262, 24261])).
% 218.58/141.14 tff(24264,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB16, 0) <=> v121(constB15, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 0) <=> v121(constB15, 0)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24263])).
% 218.58/141.14 tff(24265,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB16, 0) <=> v121(constB15, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 0) <=> v121(constB15, 0)))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24264, 24260])).
% 218.58/141.14 tff(24266,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB16, 0) <=> v121(constB15, 0)))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24267,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB16, B) <=> v121(constB15, B)))) | (v123(constB16, 0) <=> v121(constB15, 0))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24266, 24265])).
% 218.58/141.14 tff(24268,plain,
% 218.58/141.14 (v123(constB16, 0) <=> v121(constB15, 0)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24267, 24077])).
% 218.58/141.14 tff(24269,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 0) <=> v123(constB16, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 0) <=> v123(constB16, 0)))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24270,plain,
% 218.58/141.14 (($false | $false | (v84(constB16, 0) <=> v123(constB16, 0))) <=> (v84(constB16, 0) <=> v123(constB16, 0))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24271,plain,
% 218.58/141.14 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB16, 0) <=> v123(constB16, 0))) <=> ($false | $false | (v84(constB16, 0) <=> v123(constB16, 0)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[250, 249])).
% 218.58/141.14 tff(24272,plain,
% 218.58/141.14 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB16, 0) <=> v123(constB16, 0))) <=> (v84(constB16, 0) <=> v123(constB16, 0))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24271, 24270])).
% 218.58/141.14 tff(24273,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB16, 0) <=> v123(constB16, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 0) <=> v123(constB16, 0)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24272])).
% 218.58/141.14 tff(24274,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB16, 0) <=> v123(constB16, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 0) <=> v123(constB16, 0)))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24273, 24269])).
% 218.58/141.14 tff(24275,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB16, 0) <=> v123(constB16, 0)))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24276,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (v84(constB16, 0) <=> v123(constB16, 0))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24275, 24274])).
% 218.58/141.14 tff(24277,plain,
% 218.58/141.14 (v84(constB16, 0) <=> v123(constB16, 0)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24276, 24230])).
% 218.58/141.14 tff(24278,plain,
% 218.58/141.14 ((~(v84(constB16, 0) <=> v123(constB16, 0))) | v84(constB16, 0) | (~v123(constB16, 0))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24279,plain,
% 218.58/141.14 ((~(v84(constB16, 0) <=> v123(constB16, 0))) | (~v123(constB16, 0))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24278, 22244])).
% 218.58/141.14 tff(24280,plain,
% 218.58/141.14 (~v123(constB16, 0)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24279, 24277])).
% 218.58/141.14 tff(24281,plain,
% 218.58/141.14 ((~(v123(constB16, 0) <=> v121(constB15, 0))) | v123(constB16, 0) | (~v121(constB15, 0))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24282,plain,
% 218.58/141.14 ((~(v123(constB16, 0) <=> v121(constB15, 0))) | (~v121(constB15, 0))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24281, 24280])).
% 218.58/141.14 tff(24283,plain,
% 218.58/141.14 (~v121(constB15, 0)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24282, 24268])).
% 218.58/141.14 tff(24284,plain,
% 218.58/141.14 ((~(v121(constB15, 0) <=> v124(constB15, 0))) | v121(constB15, 0) | (~v124(constB15, 0))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24285,plain,
% 218.58/141.14 ((~(v121(constB15, 0) <=> v124(constB15, 0))) | (~v124(constB15, 0))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24284, 24283])).
% 218.58/141.14 tff(24286,plain,
% 218.58/141.14 (~v124(constB15, 0)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24285, 24259])).
% 218.58/141.14 tff(24287,assumption,(~v124(constB15, 0)), introduced(assumption)).
% 218.58/141.14 tff(24288,plain,
% 218.58/141.14 ((~(v124(constB15, 0) <=> b001(0))) | v124(constB15, 0) | (~b001(0))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24289,plain,
% 218.58/141.14 (~(v124(constB15, 0) <=> b001(0))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24288, 1940, 24287])).
% 218.58/141.14 tff(24290,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))), introduced(assumption)).
% 218.58/141.14 tff(24291,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | (v124(constB15, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | (v124(constB15, 0) <=> b001(0)))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24292,plain,
% 218.58/141.14 (($false | $false | (v124(constB15, 0) <=> b001(0))) <=> (v124(constB15, 0) <=> b001(0))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24293,plain,
% 218.58/141.14 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b001(0))) <=> ($false | $false | (v124(constB15, 0) <=> b001(0)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[250, 249])).
% 218.58/141.14 tff(24294,plain,
% 218.58/141.14 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b001(0))) <=> (v124(constB15, 0) <=> b001(0))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24293, 24292])).
% 218.58/141.14 tff(24295,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | (v124(constB15, 0) <=> b001(0)))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24294])).
% 218.58/141.14 tff(24296,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | (v124(constB15, 0) <=> b001(0)))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24295, 24291])).
% 218.58/141.14 tff(24297,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b001(0)))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24298,plain,
% 218.58/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | (v124(constB15, 0) <=> b001(0))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24297, 24296])).
% 218.58/141.14 tff(24299,plain,
% 218.58/141.14 ($false),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24298, 24290, 24289])).
% 218.58/141.14 tff(24300,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | v124(constB15, 0)), inference(lemma,lemma(discharge,[]))).
% 218.58/141.14 tff(24301,plain,
% 218.58/141.14 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24300, 24286])).
% 218.58/141.14 tff(24302,assumption,(v113(constB15)), introduced(assumption)).
% 218.58/141.14 tff(24303,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))), introduced(assumption)).
% 218.58/141.14 tff(24304,plain,
% 218.58/141.14 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B))))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24305,plain,
% 218.58/141.14 (((~v113(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B))))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24306,plain,
% 218.58/141.14 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))))),
% 218.58/141.14 inference(monotonicity,[status(thm)],[24305])).
% 218.58/141.14 tff(24307,plain,
% 218.58/141.14 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B))))),
% 218.58/141.14 inference(transitivity,[status(thm)],[24306, 24304])).
% 218.58/141.14 tff(24308,plain,
% 218.58/141.14 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.58/141.14 inference(quant_inst,[status(thm)],[])).
% 218.58/141.14 tff(24309,plain,
% 218.58/141.14 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))),
% 218.58/141.14 inference(modus_ponens,[status(thm)],[24308, 24307])).
% 218.58/141.14 tff(24310,plain,
% 218.58/141.14 ($false),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24309, 2117, 24303, 24302])).
% 218.58/141.14 tff(24311,plain,((~v113(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.58/141.14 tff(24312,plain,
% 218.58/141.14 (~v113(constB15)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24311, 24301])).
% 218.58/141.14 tff(24313,plain,
% 218.58/141.14 ((~(v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))))) | v113(constB15) | (v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))),
% 218.58/141.14 inference(tautology,[status(thm)],[])).
% 218.58/141.14 tff(24314,plain,
% 218.58/141.14 ((~(v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))))) | (v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24313, 24312])).
% 218.58/141.14 tff(24315,plain,
% 218.58/141.14 (v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)),
% 218.58/141.14 inference(unit_resolution,[status(thm)],[24314, 22029])).
% 218.58/141.14 tff(24316,plain,
% 218.58/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 1) <=> v124(constB15, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 1) <=> v124(constB15, 1)))),
% 218.58/141.14 inference(rewrite,[status(thm)],[])).
% 218.58/141.14 tff(24317,plain,
% 218.60/141.14 (($false | $false | (v121(constB15, 1) <=> v124(constB15, 1))) <=> (v121(constB15, 1) <=> v124(constB15, 1))),
% 218.60/141.14 inference(rewrite,[status(thm)],[])).
% 218.60/141.14 tff(24318,plain,
% 218.60/141.14 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB15, 1) <=> v124(constB15, 1))) <=> ($false | $false | (v121(constB15, 1) <=> v124(constB15, 1)))),
% 218.60/141.14 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.14 tff(24319,plain,
% 218.60/141.14 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB15, 1) <=> v124(constB15, 1))) <=> (v121(constB15, 1) <=> v124(constB15, 1))),
% 218.60/141.14 inference(transitivity,[status(thm)],[24318, 24317])).
% 218.60/141.14 tff(24320,plain,
% 218.60/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB15, 1) <=> v124(constB15, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 1) <=> v124(constB15, 1)))),
% 218.60/141.14 inference(monotonicity,[status(thm)],[24319])).
% 218.60/141.14 tff(24321,plain,
% 218.60/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB15, 1) <=> v124(constB15, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 1) <=> v124(constB15, 1)))),
% 218.60/141.14 inference(transitivity,[status(thm)],[24320, 24316])).
% 218.60/141.14 tff(24322,plain,
% 218.60/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB15, 1) <=> v124(constB15, 1)))),
% 218.60/141.14 inference(quant_inst,[status(thm)],[])).
% 218.60/141.14 tff(24323,plain,
% 218.60/141.14 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB15, B) <=> v124(constB15, B)))) | (v121(constB15, 1) <=> v124(constB15, 1))),
% 218.60/141.14 inference(modus_ponens,[status(thm)],[24322, 24321])).
% 218.60/141.14 tff(24324,plain,
% 218.60/141.14 (v121(constB15, 1) <=> v124(constB15, 1)),
% 218.60/141.14 inference(unit_resolution,[status(thm)],[24323, 24211])).
% 218.60/141.14 tff(24325,plain,
% 218.60/141.14 (v123(constB16, 1) <=> v121(constB15, 1)),
% 218.60/141.14 inference(unit_resolution,[status(thm)],[24085, 24077])).
% 218.60/141.14 tff(24326,plain,
% 218.60/141.14 (v84(constB16, 1) <=> v123(constB16, 1)),
% 218.60/141.14 inference(unit_resolution,[status(thm)],[24193, 24230])).
% 218.60/141.14 tff(24327,plain,
% 218.60/141.14 ((~(v84(constB16, 1) <=> v123(constB16, 1))) | v84(constB16, 1) | (~v123(constB16, 1))),
% 218.60/141.14 inference(tautology,[status(thm)],[])).
% 218.60/141.14 tff(24328,plain,
% 218.60/141.14 ((~(v84(constB16, 1) <=> v123(constB16, 1))) | (~v123(constB16, 1))),
% 218.60/141.14 inference(unit_resolution,[status(thm)],[24327, 24203])).
% 218.60/141.14 tff(24329,plain,
% 218.60/141.14 (~v123(constB16, 1)),
% 218.60/141.14 inference(unit_resolution,[status(thm)],[24328, 24326])).
% 218.60/141.14 tff(24330,plain,
% 218.60/141.14 ((~(v123(constB16, 1) <=> v121(constB15, 1))) | v123(constB16, 1) | (~v121(constB15, 1))),
% 218.60/141.14 inference(tautology,[status(thm)],[])).
% 218.60/141.14 tff(24331,plain,
% 218.60/141.14 ((~(v123(constB16, 1) <=> v121(constB15, 1))) | (~v121(constB15, 1))),
% 218.60/141.14 inference(unit_resolution,[status(thm)],[24330, 24329])).
% 218.60/141.14 tff(24332,plain,
% 218.60/141.14 (~v121(constB15, 1)),
% 218.60/141.14 inference(unit_resolution,[status(thm)],[24331, 24325])).
% 218.60/141.14 tff(24333,plain,
% 218.60/141.14 ((~(v121(constB15, 1) <=> v124(constB15, 1))) | v121(constB15, 1) | (~v124(constB15, 1))),
% 218.60/141.14 inference(tautology,[status(thm)],[])).
% 218.60/141.14 tff(24334,plain,
% 218.60/141.14 ((~(v121(constB15, 1) <=> v124(constB15, 1))) | (~v124(constB15, 1))),
% 218.60/141.14 inference(unit_resolution,[status(thm)],[24333, 24332])).
% 218.60/141.14 tff(24335,plain,
% 218.60/141.14 (~v124(constB15, 1)),
% 218.60/141.14 inference(unit_resolution,[status(thm)],[24334, 24324])).
% 218.60/141.14 tff(24336,assumption,(~v124(constB15, 1)), introduced(assumption)).
% 218.60/141.14 tff(24337,plain,
% 218.60/141.14 ((~(v124(constB15, 1) <=> b010(1))) | v124(constB15, 1) | (~b010(1))),
% 218.60/141.14 inference(tautology,[status(thm)],[])).
% 218.60/141.14 tff(24338,plain,
% 218.60/141.14 (~(v124(constB15, 1) <=> b010(1))),
% 218.60/141.14 inference(unit_resolution,[status(thm)],[24337, 2513, 24336])).
% 218.60/141.14 tff(24339,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))), introduced(assumption)).
% 218.60/141.14 tff(24340,plain,
% 218.60/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 1) <=> b010(1)))),
% 218.60/141.14 inference(rewrite,[status(thm)],[])).
% 218.60/141.14 tff(24341,plain,
% 218.60/141.14 (($false | $false | (v124(constB15, 1) <=> b010(1))) <=> (v124(constB15, 1) <=> b010(1))),
% 218.60/141.14 inference(rewrite,[status(thm)],[])).
% 218.60/141.14 tff(24342,plain,
% 218.60/141.14 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b010(1))) <=> ($false | $false | (v124(constB15, 1) <=> b010(1)))),
% 218.60/141.14 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.14 tff(24343,plain,
% 218.60/141.14 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b010(1))) <=> (v124(constB15, 1) <=> b010(1))),
% 218.60/141.14 inference(transitivity,[status(thm)],[24342, 24341])).
% 218.60/141.14 tff(24344,plain,
% 218.60/141.14 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 1) <=> b010(1)))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24343])).
% 218.60/141.15 tff(24345,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 1) <=> b010(1)))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24344, 24340])).
% 218.60/141.15 tff(24346,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b010(1)))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24347,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 1) <=> b010(1))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24346, 24345])).
% 218.60/141.15 tff(24348,plain,
% 218.60/141.15 ($false),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24347, 24339, 24338])).
% 218.60/141.15 tff(24349,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | v124(constB15, 1)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.15 tff(24350,plain,
% 218.60/141.15 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24349, 24335])).
% 218.60/141.15 tff(24351,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))), introduced(assumption)).
% 218.60/141.15 tff(24352,assumption,(v114(constB15)), introduced(assumption)).
% 218.60/141.15 tff(24353,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24354,plain,
% 218.60/141.15 (((~v114(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24355,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24354])).
% 218.60/141.15 tff(24356,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B))))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24355, 24353])).
% 218.60/141.15 tff(24357,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24358,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24357, 24356])).
% 218.60/141.15 tff(24359,plain,
% 218.60/141.15 ($false),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24358, 2418, 24352, 24351])).
% 218.60/141.15 tff(24360,plain,((~v114(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.15 tff(24361,plain,
% 218.60/141.15 (~v114(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24360, 24350])).
% 218.60/141.15 tff(24362,plain,
% 218.60/141.15 ((~(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))) | (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[23513, 24361])).
% 218.60/141.15 tff(24363,plain,
% 218.60/141.15 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24362, 22036])).
% 218.60/141.15 tff(24364,assumption,(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)), introduced(assumption)).
% 218.60/141.15 tff(24365,plain,
% 218.60/141.15 ((~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))) | v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24366,plain,
% 218.60/141.15 ((~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))) | v84(constB15, 0) | v84(constB15, 2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24365, 23516])).
% 218.60/141.15 tff(24367,plain,
% 218.60/141.15 (v84(constB15, 0)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24366, 23503, 24364])).
% 218.60/141.15 tff(24368,plain,
% 218.60/141.15 ((~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[23520, 23516])).
% 218.60/141.15 tff(24369,plain,
% 218.60/141.15 ($false),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24368, 24367, 23503, 23519])).
% 218.60/141.15 tff(24370,plain,(v84(constB15, 2) | (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))) | v84(constB15, 1) | (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.15 tff(24371,plain,
% 218.60/141.15 (v84(constB15, 2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24370, 24363, 23516, 24315])).
% 218.60/141.15 tff(24372,plain,
% 218.60/141.15 (v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22054, 24371])).
% 218.60/141.15 tff(24373,plain,
% 218.60/141.15 ((~(v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))) | (~v115(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22056, 24372])).
% 218.60/141.15 tff(24374,plain,
% 218.60/141.15 (~v115(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24373, 22053])).
% 218.60/141.15 tff(24375,plain,
% 218.60/141.15 (v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22019, 24371])).
% 218.60/141.15 tff(24376,plain,
% 218.60/141.15 ((~(v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))))) | (~v116(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22021, 24375])).
% 218.60/141.15 tff(24377,plain,
% 218.60/141.15 (~v116(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24376, 21988])).
% 218.60/141.15 tff(24378,plain,
% 218.60/141.15 ((~(v124(constB15, 0) <=> b101(0))) | v124(constB15, 0) | (~b101(0))),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24379,plain,
% 218.60/141.15 (~(v124(constB15, 0) <=> b101(0))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24378, 2042, 24287])).
% 218.60/141.15 tff(24380,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))), introduced(assumption)).
% 218.60/141.15 tff(24381,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | (v124(constB15, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | (v124(constB15, 0) <=> b101(0)))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24382,plain,
% 218.60/141.15 (($false | $false | (v124(constB15, 0) <=> b101(0))) <=> (v124(constB15, 0) <=> b101(0))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24383,plain,
% 218.60/141.15 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b101(0))) <=> ($false | $false | (v124(constB15, 0) <=> b101(0)))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.15 tff(24384,plain,
% 218.60/141.15 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b101(0))) <=> (v124(constB15, 0) <=> b101(0))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24383, 24382])).
% 218.60/141.15 tff(24385,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | (v124(constB15, 0) <=> b101(0)))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24384])).
% 218.60/141.15 tff(24386,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | (v124(constB15, 0) <=> b101(0)))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24385, 24381])).
% 218.60/141.15 tff(24387,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b101(0)))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24388,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | (v124(constB15, 0) <=> b101(0))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24387, 24386])).
% 218.60/141.15 tff(24389,plain,
% 218.60/141.15 ($false),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24388, 24380, 24379])).
% 218.60/141.15 tff(24390,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | v124(constB15, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.15 tff(24391,plain,
% 218.60/141.15 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24390, 24286])).
% 218.60/141.15 tff(24392,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24393,plain,
% 218.60/141.15 (((~v117(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24394,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24393])).
% 218.60/141.15 tff(24395,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B))))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24394, 24392])).
% 218.60/141.15 tff(24396,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24397,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24396, 24395])).
% 218.60/141.15 tff(24398,plain,
% 218.60/141.15 (~v117(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24397, 2090, 24391])).
% 218.60/141.15 tff(24399,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24400,plain,
% 218.60/141.15 ((v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) <=> (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24401,plain,
% 218.60/141.15 (^[B: $int] : rewrite(((v124(constB15, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B))))),
% 218.60/141.15 inference(bind,[status(th)],[])).
% 218.60/141.15 tff(24402,plain,
% 218.60/141.15 (![B: $int] : ((v124(constB15, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))),
% 218.60/141.15 inference(quant_intro,[status(thm)],[24401])).
% 218.60/141.15 tff(24403,plain,
% 218.60/141.15 ((v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ((v124(constB15, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B))))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24402])).
% 218.60/141.15 tff(24404,plain,
% 218.60/141.15 ((v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ((v124(constB15, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B))))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24403, 24400])).
% 218.60/141.15 tff(24405,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ((v124(constB15, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24404])).
% 218.60/141.15 tff(24406,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ((v124(constB15, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B))))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24405, 24399])).
% 218.60/141.15 tff(24407,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ((v124(constB15, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24408,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24407, 24406])).
% 218.60/141.15 tff(24409,plain,
% 218.60/141.15 (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24408, 1807, 24301, 24312])).
% 218.60/141.15 tff(24410,plain,
% 218.60/141.15 (v118(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24409, 24398, 24361, 24377, 24374])).
% 218.60/141.15 tff(24411,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24412,plain,
% 218.60/141.15 (((~v118(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24413,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24412])).
% 218.60/141.15 tff(24414,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B))))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24413, 24411])).
% 218.60/141.15 tff(24415,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24416,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24415, 24414])).
% 218.60/141.15 tff(24417,plain,
% 218.60/141.15 ((~v118(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24416, 1977])).
% 218.60/141.15 tff(24418,plain,
% 218.60/141.15 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24417, 24410])).
% 218.60/141.15 tff(24419,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 2) <=> b110(2)))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24420,plain,
% 218.60/141.15 (($false | $false | (v124(constB15, 2) <=> b110(2))) <=> (v124(constB15, 2) <=> b110(2))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24421,plain,
% 218.60/141.15 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b110(2))) <=> ($false | $false | (v124(constB15, 2) <=> b110(2)))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.15 tff(24422,plain,
% 218.60/141.15 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b110(2))) <=> (v124(constB15, 2) <=> b110(2))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24421, 24420])).
% 218.60/141.15 tff(24423,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 2) <=> b110(2)))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24422])).
% 218.60/141.15 tff(24424,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 2) <=> b110(2)))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24423, 24419])).
% 218.60/141.15 tff(24425,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b110(2)))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24426,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 2) <=> b110(2))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24425, 24424])).
% 218.60/141.15 tff(24427,plain,
% 218.60/141.15 ($false),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24426, 24418, 24250])).
% 218.60/141.15 tff(24428,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | v84(constB15, 1) | v84(constB16, 1) | v84(constB16, 2) | v84(constB16, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.15 tff(24429,plain,
% 218.60/141.15 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24428, 23516, 24203, 24202, 22244])).
% 218.60/141.15 tff(24430,plain,
% 218.60/141.15 (~v94(constB16)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24184, 24429])).
% 218.60/141.15 tff(24431,plain,
% 218.60/141.15 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22177, 24430])).
% 218.60/141.15 tff(24432,plain,
% 218.60/141.15 (v84(constB16, 0) <=> v84(constB15, 0)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22256, 24431])).
% 218.60/141.15 tff(24433,plain,
% 218.60/141.15 ((~(v84(constB16, 0) <=> v84(constB15, 0))) | (~v84(constB15, 0))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22246, 22244])).
% 218.60/141.15 tff(24434,plain,
% 218.60/141.15 (~v84(constB15, 0)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24433, 24432])).
% 218.60/141.15 tff(24435,plain,
% 218.60/141.15 (v84(constB16, 2) <=> v84(constB15, 2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22321, 24431])).
% 218.60/141.15 tff(24436,plain,
% 218.60/141.15 ((~(v84(constB16, 2) <=> v84(constB15, 2))) | (~v84(constB15, 2))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22323, 24202])).
% 218.60/141.15 tff(24437,plain,
% 218.60/141.15 (~v84(constB15, 2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24436, 24435])).
% 218.60/141.15 tff(24438,plain,
% 218.60/141.15 (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24366, 24437, 24434])).
% 218.60/141.15 tff(24439,plain,
% 218.60/141.15 (v113(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24313, 24438, 22029])).
% 218.60/141.15 tff(24440,plain,
% 218.60/141.15 ((v113(constB15) | v114(constB15)) | (~v113(constB15))),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24441,plain,
% 218.60/141.15 (v113(constB15) | v114(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24440, 24439])).
% 218.60/141.15 tff(24442,plain,
% 218.60/141.15 ((~(v112(constB15) <=> (v113(constB15) | v114(constB15)))) | v112(constB15) | (~(v113(constB15) | v114(constB15)))),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24443,plain,
% 218.60/141.15 ((~(v112(constB15) <=> (v113(constB15) | v114(constB15)))) | v112(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24442, 24441])).
% 218.60/141.15 tff(24444,plain,
% 218.60/141.15 (v112(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24443, 22027])).
% 218.60/141.15 tff(24445,plain,
% 218.60/141.15 ((v112(constB15) | v115(constB15)) | (~v112(constB15))),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24446,plain,
% 218.60/141.15 (v112(constB15) | v115(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24445, 24444])).
% 218.60/141.15 tff(24447,plain,
% 218.60/141.15 (v111(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24099, 24446, 22025])).
% 218.60/141.15 tff(24448,plain,
% 218.60/141.15 (v111(constB15) | v116(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24097, 24447])).
% 218.60/141.15 tff(24449,plain,
% 218.60/141.15 ((~v95(constB16)) | (~v104(constB16))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24176, 24430])).
% 218.60/141.15 tff(24450,plain,
% 218.60/141.15 (~v104(constB16)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24173, 24449])).
% 218.60/141.15 tff(24451,plain,
% 218.60/141.15 (~v102(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24142, 24450])).
% 218.60/141.15 tff(24452,plain,
% 218.60/141.15 (~(v105(constB15) | v106(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24139, 24451])).
% 218.60/141.15 tff(24453,plain,
% 218.60/141.15 (~v106(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24136, 24452])).
% 218.60/141.15 tff(24454,plain,
% 218.60/141.15 ((~v107(constB15)) | (~v120(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24134, 24453])).
% 218.60/141.15 tff(24455,plain,
% 218.60/141.15 (~v107(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24131, 24454])).
% 218.60/141.15 tff(24456,plain,
% 218.60/141.15 ((~(v107(constB15) <=> (v108(constB15) | v119(constB15)))) | (~(v108(constB15) | v119(constB15)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24123, 24455])).
% 218.60/141.15 tff(24457,plain,
% 218.60/141.15 (~(v108(constB15) | v119(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24456, 21654])).
% 218.60/141.15 tff(24458,plain,
% 218.60/141.15 (~v108(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24121, 24457])).
% 218.60/141.15 tff(24459,plain,
% 218.60/141.15 ((~(v108(constB15) <=> (v109(constB15) | v118(constB15)))) | (~(v109(constB15) | v118(constB15)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24119, 24458])).
% 218.60/141.15 tff(24460,plain,
% 218.60/141.15 (~(v109(constB15) | v118(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24459, 21979])).
% 218.60/141.15 tff(24461,plain,
% 218.60/141.15 (~v109(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24117, 24460])).
% 218.60/141.15 tff(24462,plain,
% 218.60/141.15 (~(v110(constB15) | v117(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24115, 24461, 21981])).
% 218.60/141.15 tff(24463,plain,
% 218.60/141.15 (~v110(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24113, 24462])).
% 218.60/141.15 tff(24464,plain,
% 218.60/141.15 ($false),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24110, 24463, 24448, 24204])).
% 218.60/141.15 tff(24465,plain,(v84(constB15, 1) | v84(constB16, 2) | v84(constB16, 0) | v84(constB16, 1)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.15 tff(24466,plain,
% 218.60/141.15 (v84(constB15, 1)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24465, 22244, 24202, 24203])).
% 218.60/141.15 tff(24467,plain,
% 218.60/141.15 (v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22116, 24466])).
% 218.60/141.15 tff(24468,plain,
% 218.60/141.15 ((~(v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))))) | (~v118(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22118, 24467])).
% 218.60/141.15 tff(24469,plain,
% 218.60/141.15 (~v118(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24468, 22115])).
% 218.60/141.15 tff(24470,plain,
% 218.60/141.15 (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22104, 24466])).
% 218.60/141.15 tff(24471,plain,
% 218.60/141.15 ((~(v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))) | (~v117(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22106, 24470])).
% 218.60/141.15 tff(24472,plain,
% 218.60/141.15 (~v117(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24471, 22079])).
% 218.60/141.15 tff(24473,plain,
% 218.60/141.15 ((v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)) | (~v84(constB15, 1))),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24474,plain,
% 218.60/141.15 (v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24473, 24466])).
% 218.60/141.15 tff(24475,plain,
% 218.60/141.15 ((~(v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))))) | (~v113(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22032, 24474])).
% 218.60/141.15 tff(24476,plain,
% 218.60/141.15 (~v113(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24475, 22029])).
% 218.60/141.15 tff(24477,plain,
% 218.60/141.15 ((v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))) | (~v84(constB15, 1))),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24478,plain,
% 218.60/141.15 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24477, 24466])).
% 218.60/141.15 tff(24479,plain,
% 218.60/141.15 ((~(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))) | (~v114(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22039, 24478])).
% 218.60/141.15 tff(24480,plain,
% 218.60/141.15 (~v114(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24479, 22036])).
% 218.60/141.15 tff(24481,plain,
% 218.60/141.15 ((~(v124(constB15, 2) <=> b100(2))) | v124(constB15, 2) | (~b100(2))),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24482,plain,
% 218.60/141.15 (~(v124(constB15, 2) <=> b100(2))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24481, 2250, 24248])).
% 218.60/141.15 tff(24483,plain,
% 218.60/141.15 ((~(v124(constB15, 0) <=> b011(0))) | v124(constB15, 0) | (~b011(0))),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24484,plain,
% 218.60/141.15 (~(v124(constB15, 0) <=> b011(0))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24483, 2025, 24287])).
% 218.60/141.15 tff(24485,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))), introduced(assumption)).
% 218.60/141.15 tff(24486,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 0) <=> b011(0)))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24487,plain,
% 218.60/141.15 (($false | $false | (v124(constB15, 0) <=> b011(0))) <=> (v124(constB15, 0) <=> b011(0))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24488,plain,
% 218.60/141.15 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b011(0))) <=> ($false | $false | (v124(constB15, 0) <=> b011(0)))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.15 tff(24489,plain,
% 218.60/141.15 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b011(0))) <=> (v124(constB15, 0) <=> b011(0))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24488, 24487])).
% 218.60/141.15 tff(24490,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 0) <=> b011(0)))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24489])).
% 218.60/141.15 tff(24491,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 0) <=> b011(0)))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24490, 24486])).
% 218.60/141.15 tff(24492,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b011(0)))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24493,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 0) <=> b011(0))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24492, 24491])).
% 218.60/141.15 tff(24494,plain,
% 218.60/141.15 ($false),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24493, 24485, 24484])).
% 218.60/141.15 tff(24495,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | v124(constB15, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.15 tff(24496,plain,
% 218.60/141.15 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24495, 24286])).
% 218.60/141.15 tff(24497,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24498,plain,
% 218.60/141.15 (((~v115(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24499,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24498])).
% 218.60/141.15 tff(24500,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B))))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24499, 24497])).
% 218.60/141.15 tff(24501,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24502,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24501, 24500])).
% 218.60/141.15 tff(24503,plain,
% 218.60/141.15 ((~v115(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24502, 2144])).
% 218.60/141.15 tff(24504,plain,
% 218.60/141.15 (~v115(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24503, 24496])).
% 218.60/141.15 tff(24505,assumption,(~v118(constB15)), introduced(assumption)).
% 218.60/141.15 tff(24506,assumption,(~v117(constB15)), introduced(assumption)).
% 218.60/141.15 tff(24507,assumption,(~v113(constB15)), introduced(assumption)).
% 218.60/141.15 tff(24508,plain,
% 218.60/141.15 (v116(constB15) | v115(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24408, 1807, 23512, 24507, 24506, 24505])).
% 218.60/141.15 tff(24509,plain,
% 218.60/141.15 (v116(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24508, 24504, 24301])).
% 218.60/141.15 tff(24510,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24511,plain,
% 218.60/141.15 (((~v116(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B))))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24512,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24511])).
% 218.60/141.15 tff(24513,plain,
% 218.60/141.15 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B))))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24512, 24510])).
% 218.60/141.15 tff(24514,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB15)) | ![B: $int] : ((v124(constB15, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24515,plain,
% 218.60/141.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24514, 24513])).
% 218.60/141.15 tff(24516,plain,
% 218.60/141.15 ((~v116(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24515, 2230])).
% 218.60/141.15 tff(24517,plain,
% 218.60/141.15 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24516, 24509])).
% 218.60/141.15 tff(24518,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 2) <=> b100(2)))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24519,plain,
% 218.60/141.15 (($false | $false | (v124(constB15, 2) <=> b100(2))) <=> (v124(constB15, 2) <=> b100(2))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24520,plain,
% 218.60/141.15 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b100(2))) <=> ($false | $false | (v124(constB15, 2) <=> b100(2)))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.15 tff(24521,plain,
% 218.60/141.15 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b100(2))) <=> (v124(constB15, 2) <=> b100(2))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24520, 24519])).
% 218.60/141.15 tff(24522,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 2) <=> b100(2)))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24521])).
% 218.60/141.15 tff(24523,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 2) <=> b100(2)))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24522, 24518])).
% 218.60/141.15 tff(24524,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b100(2)))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24525,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 2) <=> b100(2))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24524, 24523])).
% 218.60/141.15 tff(24526,plain,
% 218.60/141.15 ($false),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24525, 24517, 24482])).
% 218.60/141.15 tff(24527,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | v114(constB15) | v113(constB15) | v117(constB15) | v118(constB15) | v84(constB16, 2) | v84(constB16, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.15 tff(24528,plain,
% 218.60/141.15 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24527, 24480, 24476, 24472, 24469, 24202, 22244])).
% 218.60/141.15 tff(24529,plain,
% 218.60/141.15 (~v94(constB16)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24184, 24528])).
% 218.60/141.15 tff(24530,plain,
% 218.60/141.15 ((~v95(constB16)) | (~v104(constB16))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24176, 24529])).
% 218.60/141.15 tff(24531,plain,
% 218.60/141.15 (~v104(constB16)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24173, 24530])).
% 218.60/141.15 tff(24532,plain,
% 218.60/141.15 (~v102(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24142, 24531])).
% 218.60/141.15 tff(24533,plain,
% 218.60/141.15 (~(v105(constB15) | v106(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24139, 24532])).
% 218.60/141.15 tff(24534,plain,
% 218.60/141.15 (~v106(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24136, 24533])).
% 218.60/141.15 tff(24535,plain,
% 218.60/141.15 ((~v107(constB15)) | (~v120(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24134, 24534])).
% 218.60/141.15 tff(24536,plain,
% 218.60/141.15 (~v107(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24131, 24535])).
% 218.60/141.15 tff(24537,plain,
% 218.60/141.15 (~(v108(constB15) | v119(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24123, 24536, 21654])).
% 218.60/141.15 tff(24538,plain,
% 218.60/141.15 ((v108(constB15) | v119(constB15)) | (~v119(constB15))),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24539,plain,
% 218.60/141.15 (~v119(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24538, 24537])).
% 218.60/141.15 tff(24540,plain,
% 218.60/141.15 ((~(v119(constB15) <=> (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))))) | v119(constB15) | (v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24541,plain,
% 218.60/141.15 (v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24540, 24539, 21656])).
% 218.60/141.15 tff(24542,plain,
% 218.60/141.15 (~v108(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24121, 24537])).
% 218.60/141.15 tff(24543,plain,
% 218.60/141.15 (~(v109(constB15) | v118(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24119, 24542, 21979])).
% 218.60/141.15 tff(24544,plain,
% 218.60/141.15 (~v109(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24117, 24543])).
% 218.60/141.15 tff(24545,plain,
% 218.60/141.15 (~(v110(constB15) | v117(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24115, 24544, 21981])).
% 218.60/141.15 tff(24546,plain,
% 218.60/141.15 (~v110(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24113, 24545])).
% 218.60/141.15 tff(24547,plain,
% 218.60/141.15 (~(v111(constB15) | v116(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24110, 24546, 24204])).
% 218.60/141.15 tff(24548,plain,
% 218.60/141.15 (v84(constB15, 2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24108, 24547, 24466])).
% 218.60/141.15 tff(24549,plain,
% 218.60/141.15 ((~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))) | v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2))),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24550,plain,
% 218.60/141.15 ((~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))) | v84(constB15, 0) | (~v84(constB15, 2))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24549, 24466])).
% 218.60/141.15 tff(24551,plain,
% 218.60/141.15 (v84(constB15, 0)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24550, 24548, 24541])).
% 218.60/141.15 tff(24552,plain,
% 218.60/141.15 (~(v84(constB16, 0) <=> v84(constB15, 0))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22246, 24551, 22244])).
% 218.60/141.15 tff(24553,plain,
% 218.60/141.15 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22177, 24529])).
% 218.60/141.15 tff(24554,plain,
% 218.60/141.15 ($false),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22256, 24553, 24552])).
% 218.60/141.15 tff(24555,plain,(v84(constB16, 0) | v84(constB16, 2) | v84(constB16, 1)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.15 tff(24556,plain,
% 218.60/141.15 (v84(constB16, 2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24555, 24201, 24200])).
% 218.60/141.15 tff(24557,plain,
% 218.60/141.15 ($false),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22337, 24556, 24199, 22336])).
% 218.60/141.15 tff(24558,plain,(v84(constB17, 1) | v84(constB17, 0) | (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.15 tff(24559,plain,
% 218.60/141.15 (v84(constB17, 1)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24558, 24196, 24195])).
% 218.60/141.15 tff(24560,plain,
% 218.60/141.15 ((~(v84(constB17, 1) <=> v84(constB16, 1))) | (~v84(constB17, 1)) | v84(constB16, 1)),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24561,plain,
% 218.60/141.15 ((~v84(constB17, 1)) | v84(constB16, 1)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24560, 22235])).
% 218.60/141.15 tff(24562,plain,
% 218.60/141.15 (v84(constB16, 1)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24561, 24559])).
% 218.60/141.15 tff(24563,plain,
% 218.60/141.15 ((~(v84(constB16, 1) <=> v123(constB16, 1))) | (~v84(constB16, 1)) | v123(constB16, 1)),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24564,plain,
% 218.60/141.15 ((~(v84(constB16, 1) <=> v123(constB16, 1))) | v123(constB16, 1)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24563, 24562])).
% 218.60/141.15 tff(24565,plain,
% 218.60/141.15 (v123(constB16, 1)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24564, 24194])).
% 218.60/141.15 tff(24566,plain,
% 218.60/141.15 (v84(constB15, 1)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[23917, 23503, 23506])).
% 218.60/141.15 tff(24567,plain,
% 218.60/141.15 (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24105, 24566, 23504, 23503])).
% 218.60/141.15 tff(24568,plain,
% 218.60/141.15 ((~(v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))) | v115(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24103, 24567])).
% 218.60/141.15 tff(24569,plain,
% 218.60/141.15 (v115(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24568, 22053])).
% 218.60/141.15 tff(24570,plain,
% 218.60/141.15 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24502, 2144, 24569])).
% 218.60/141.15 tff(24571,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 2) <=> b011(2)))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24572,plain,
% 218.60/141.15 (($false | $false | (v124(constB15, 2) <=> b011(2))) <=> (v124(constB15, 2) <=> b011(2))),
% 218.60/141.15 inference(rewrite,[status(thm)],[])).
% 218.60/141.15 tff(24573,plain,
% 218.60/141.15 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b011(2))) <=> ($false | $false | (v124(constB15, 2) <=> b011(2)))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.15 tff(24574,plain,
% 218.60/141.15 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b011(2))) <=> (v124(constB15, 2) <=> b011(2))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24573, 24572])).
% 218.60/141.15 tff(24575,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 2) <=> b011(2)))),
% 218.60/141.15 inference(monotonicity,[status(thm)],[24574])).
% 218.60/141.15 tff(24576,plain,
% 218.60/141.15 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 2) <=> b011(2)))),
% 218.60/141.15 inference(transitivity,[status(thm)],[24575, 24571])).
% 218.60/141.15 tff(24577,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b011(2)))),
% 218.60/141.15 inference(quant_inst,[status(thm)],[])).
% 218.60/141.15 tff(24578,plain,
% 218.60/141.15 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 2) <=> b011(2))),
% 218.60/141.15 inference(modus_ponens,[status(thm)],[24577, 24576])).
% 218.60/141.15 tff(24579,plain,
% 218.60/141.15 (v124(constB15, 2) <=> b011(2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24578, 24570])).
% 218.60/141.15 tff(24580,plain,
% 218.60/141.15 ((~(v124(constB15, 2) <=> b011(2))) | (~v124(constB15, 2)) | b011(2)),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24581,plain,
% 218.60/141.15 ((~(v124(constB15, 2) <=> b011(2))) | (~v124(constB15, 2))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24580, 2569])).
% 218.60/141.15 tff(24582,plain,
% 218.60/141.15 (~v124(constB15, 2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24581, 24579])).
% 218.60/141.15 tff(24583,plain,
% 218.60/141.15 ((~(v121(constB15, 2) <=> v124(constB15, 2))) | (~v121(constB15, 2)) | v124(constB15, 2)),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24584,plain,
% 218.60/141.15 ((~(v121(constB15, 2) <=> v124(constB15, 2))) | (~v121(constB15, 2))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24583, 24582])).
% 218.60/141.15 tff(24585,plain,
% 218.60/141.15 (~v121(constB15, 2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24584, 24220])).
% 218.60/141.15 tff(24586,plain,
% 218.60/141.15 ((~(v123(constB16, 2) <=> v121(constB15, 2))) | (~v123(constB16, 2)) | v121(constB15, 2)),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24587,plain,
% 218.60/141.15 ((~(v123(constB16, 2) <=> v121(constB15, 2))) | (~v123(constB16, 2))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24586, 24585])).
% 218.60/141.15 tff(24588,plain,
% 218.60/141.15 (~v123(constB16, 2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24587, 24229])).
% 218.60/141.15 tff(24589,plain,
% 218.60/141.15 (v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24473, 24566])).
% 218.60/141.15 tff(24590,plain,
% 218.60/141.15 ((~(v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))))) | (~v113(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22032, 24589])).
% 218.60/141.15 tff(24591,plain,
% 218.60/141.15 (~v113(constB15)),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24590, 22029])).
% 218.60/141.15 tff(24592,plain,
% 218.60/141.15 ((v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))) | v84(constB15, 2)),
% 218.60/141.15 inference(tautology,[status(thm)],[])).
% 218.60/141.15 tff(24593,plain,
% 218.60/141.15 (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[24592, 23503])).
% 218.60/141.15 tff(24594,plain,
% 218.60/141.15 ((~(v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))) | (~v117(constB15))),
% 218.60/141.15 inference(unit_resolution,[status(thm)],[22106, 24593])).
% 218.60/141.15 tff(24595,plain,
% 218.60/141.16 (~v117(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24594, 22079])).
% 218.60/141.16 tff(24596,plain,
% 218.60/141.16 (v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22116, 24566])).
% 218.60/141.16 tff(24597,plain,
% 218.60/141.16 ((~(v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))))) | (~v118(constB15))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22118, 24596])).
% 218.60/141.16 tff(24598,plain,
% 218.60/141.16 (~v118(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24597, 22115])).
% 218.60/141.16 tff(24599,plain,
% 218.60/141.16 ((~(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))) | (~v114(constB15))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22039, 23506])).
% 218.60/141.16 tff(24600,plain,
% 218.60/141.16 (~v114(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24599, 22036])).
% 218.60/141.16 tff(24601,assumption,(~(v108(constB15) | v119(constB15))), introduced(assumption)).
% 218.60/141.16 tff(24602,plain,
% 218.60/141.16 (~v108(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24121, 24601])).
% 218.60/141.16 tff(24603,plain,
% 218.60/141.16 ((~(v108(constB15) <=> (v109(constB15) | v118(constB15)))) | (~(v109(constB15) | v118(constB15)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24119, 24602])).
% 218.60/141.16 tff(24604,plain,
% 218.60/141.16 (~(v109(constB15) | v118(constB15))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24603, 21979])).
% 218.60/141.16 tff(24605,plain,
% 218.60/141.16 (~v109(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24117, 24604])).
% 218.60/141.16 tff(24606,plain,
% 218.60/141.16 ((~(v109(constB15) <=> (v110(constB15) | v117(constB15)))) | (~(v110(constB15) | v117(constB15)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24115, 24605])).
% 218.60/141.16 tff(24607,plain,
% 218.60/141.16 (~(v110(constB15) | v117(constB15))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24606, 21981])).
% 218.60/141.16 tff(24608,plain,
% 218.60/141.16 (~v110(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24113, 24607])).
% 218.60/141.16 tff(24609,plain,
% 218.60/141.16 (~(v111(constB15) | v116(constB15))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24111, 24608])).
% 218.60/141.16 tff(24610,plain,
% 218.60/141.16 (~v119(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24538, 24601])).
% 218.60/141.16 tff(24611,plain,
% 218.60/141.16 ((~(v119(constB15) <=> (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))))) | (v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24540, 24610])).
% 218.60/141.16 tff(24612,plain,
% 218.60/141.16 (v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24611, 21656])).
% 218.60/141.16 tff(24613,plain,
% 218.60/141.16 ((v110(constB15) | v117(constB15)) | (~v117(constB15))),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24614,plain,
% 218.60/141.16 (~v117(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24613, 24607])).
% 218.60/141.16 tff(24615,plain,
% 218.60/141.16 ((~(v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))) | v117(constB15) | (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24616,plain,
% 218.60/141.16 ((~(v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))) | (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24615, 24614])).
% 218.60/141.16 tff(24617,plain,
% 218.60/141.16 (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24616, 22079])).
% 218.60/141.16 tff(24618,assumption,(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2))), introduced(assumption)).
% 218.60/141.16 tff(24619,assumption,(v84(constB15, 2)), introduced(assumption)).
% 218.60/141.16 tff(24620,plain,
% 218.60/141.16 (v84(constB15, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22378, 23504, 22350, 24619])).
% 218.60/141.16 tff(24621,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24549, 24620, 23504, 24619, 24618])).
% 218.60/141.16 tff(24622,plain,(v84(constB15, 0) | (~v84(constB15, 2)) | (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))) | (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24623,plain,
% 218.60/141.16 (~v84(constB15, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24622, 24617, 23504, 24612])).
% 218.60/141.16 tff(24624,plain,
% 218.60/141.16 (v84(constB15, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[23917, 24623, 23506])).
% 218.60/141.16 tff(24625,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24108, 24624, 24623, 24609])).
% 218.60/141.16 tff(24626,plain,((v108(constB15) | v119(constB15)) | v84(constB15, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24627,plain,
% 218.60/141.16 (v108(constB15) | v119(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24626, 23504])).
% 218.60/141.16 tff(24628,plain,
% 218.60/141.16 ((~(v107(constB15) <=> (v108(constB15) | v119(constB15)))) | v107(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24123, 24627])).
% 218.60/141.16 tff(24629,plain,
% 218.60/141.16 (v107(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24628, 21654])).
% 218.60/141.16 tff(24630,plain,
% 218.60/141.16 (~((~v107(constB15)) | (~v120(constB15)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24131, 24629])).
% 218.60/141.16 tff(24631,plain,
% 218.60/141.16 (v106(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24134, 24630])).
% 218.60/141.16 tff(24632,plain,
% 218.60/141.16 (v105(constB15) | v106(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24136, 24631])).
% 218.60/141.16 tff(24633,plain,
% 218.60/141.16 (v102(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24139, 24632])).
% 218.60/141.16 tff(24634,plain,
% 218.60/141.16 (v104(constB16)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24142, 24633])).
% 218.60/141.16 tff(24635,plain,
% 218.60/141.16 (~((~v95(constB16)) | (~v104(constB16)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24173, 24634])).
% 218.60/141.16 tff(24636,plain,
% 218.60/141.16 (v94(constB16)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24176, 24635])).
% 218.60/141.16 tff(24637,plain,
% 218.60/141.16 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24184, 24636])).
% 218.60/141.16 tff(24638,plain,
% 218.60/141.16 (v84(constB16, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24527, 24637, 22244, 24600, 24598, 24595, 24591])).
% 218.60/141.16 tff(24639,plain,
% 218.60/141.16 ((~(v84(constB16, 2) <=> v123(constB16, 2))) | (~v84(constB16, 2)) | v123(constB16, 2)),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24640,plain,
% 218.60/141.16 (~(v84(constB16, 2) <=> v123(constB16, 2))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24639, 24638, 24588])).
% 218.60/141.16 tff(24641,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24238, 24637, 24640])).
% 218.60/141.16 tff(24642,plain,(v84(constB15, 2) | v84(constB16, 0) | v84(constB15, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24643,plain,
% 218.60/141.16 (v84(constB15, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24642, 24200, 23503])).
% 218.60/141.16 tff(24644,plain,
% 218.60/141.16 ((~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))) | (~v84(constB15, 0)) | (~v84(constB15, 1))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24094, 23503])).
% 218.60/141.16 tff(24645,plain,
% 218.60/141.16 (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24644, 24643, 24088])).
% 218.60/141.16 tff(24646,plain,
% 218.60/141.16 (v116(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24092, 24645, 21988])).
% 218.60/141.16 tff(24647,plain,
% 218.60/141.16 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24516, 24646])).
% 218.60/141.16 tff(24648,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 1) <=> b100(1)))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24649,plain,
% 218.60/141.16 (($false | $false | (v124(constB15, 1) <=> b100(1))) <=> (v124(constB15, 1) <=> b100(1))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24650,plain,
% 218.60/141.16 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b100(1))) <=> ($false | $false | (v124(constB15, 1) <=> b100(1)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.16 tff(24651,plain,
% 218.60/141.16 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b100(1))) <=> (v124(constB15, 1) <=> b100(1))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24650, 24649])).
% 218.60/141.16 tff(24652,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 1) <=> b100(1)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[24651])).
% 218.60/141.16 tff(24653,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 1) <=> b100(1)))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24652, 24648])).
% 218.60/141.16 tff(24654,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b100(1)))),
% 218.60/141.16 inference(quant_inst,[status(thm)],[])).
% 218.60/141.16 tff(24655,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 1) <=> b100(1))),
% 218.60/141.16 inference(modus_ponens,[status(thm)],[24654, 24653])).
% 218.60/141.16 tff(24656,plain,
% 218.60/141.16 (v124(constB15, 1) <=> b100(1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24655, 24647])).
% 218.60/141.16 tff(24657,plain,
% 218.60/141.16 ((~(v124(constB15, 1) <=> b100(1))) | (~v124(constB15, 1)) | b100(1)),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24658,plain,
% 218.60/141.16 ((~(v124(constB15, 1) <=> b100(1))) | (~v124(constB15, 1))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24657, 2274])).
% 218.60/141.16 tff(24659,plain,
% 218.60/141.16 (~v124(constB15, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24658, 24656])).
% 218.60/141.16 tff(24660,plain,
% 218.60/141.16 ((~(v121(constB15, 1) <=> v124(constB15, 1))) | (~v121(constB15, 1)) | v124(constB15, 1)),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24661,plain,
% 218.60/141.16 ((~(v121(constB15, 1) <=> v124(constB15, 1))) | (~v121(constB15, 1))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24660, 24659])).
% 218.60/141.16 tff(24662,plain,
% 218.60/141.16 (~v121(constB15, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24661, 24324])).
% 218.60/141.16 tff(24663,plain,
% 218.60/141.16 ((~(v123(constB16, 1) <=> v121(constB15, 1))) | (~v123(constB16, 1)) | v121(constB15, 1)),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24664,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24663, 24662, 24565, 24087])).
% 218.60/141.16 tff(24665,plain,(v84(constB17, 0) | (~v84(constB15, 1)) | v84(constB15, 2) | (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24666,plain,
% 218.60/141.16 (v84(constB17, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24665, 24069, 23918, 23503])).
% 218.60/141.16 tff(24667,plain,
% 218.60/141.16 ((~(v84(constB17, 0) <=> v84(constB16, 0))) | (~v84(constB17, 0)) | v84(constB16, 0)),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24668,plain,
% 218.60/141.16 ((~v84(constB17, 0)) | v84(constB16, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24667, 22270])).
% 218.60/141.16 tff(24669,plain,
% 218.60/141.16 (v84(constB16, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24668, 24666])).
% 218.60/141.16 tff(24670,plain,
% 218.60/141.16 (v84(constB15, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[23917, 23503, 23519])).
% 218.60/141.16 tff(24671,plain,
% 218.60/141.16 (v111(constB15) | v116(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24108, 24670, 23503])).
% 218.60/141.16 tff(24672,plain,
% 218.60/141.16 (v110(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24111, 24671])).
% 218.60/141.16 tff(24673,plain,
% 218.60/141.16 (v110(constB15) | v117(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24113, 24672])).
% 218.60/141.16 tff(24674,plain,
% 218.60/141.16 ((~(v109(constB15) <=> (v110(constB15) | v117(constB15)))) | v109(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24115, 24673])).
% 218.60/141.16 tff(24675,plain,
% 218.60/141.16 (v109(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24674, 21981])).
% 218.60/141.16 tff(24676,plain,
% 218.60/141.16 (v109(constB15) | v118(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24117, 24675])).
% 218.60/141.16 tff(24677,plain,
% 218.60/141.16 (v108(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24119, 24676, 21979])).
% 218.60/141.16 tff(24678,plain,
% 218.60/141.16 (v108(constB15) | v119(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24121, 24677])).
% 218.60/141.16 tff(24679,plain,
% 218.60/141.16 (v107(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24123, 24678, 21654])).
% 218.60/141.16 tff(24680,plain,
% 218.60/141.16 (~((~v107(constB15)) | (~v120(constB15)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24131, 24679])).
% 218.60/141.16 tff(24681,plain,
% 218.60/141.16 (v106(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24134, 24680])).
% 218.60/141.16 tff(24682,plain,
% 218.60/141.16 (v105(constB15) | v106(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24136, 24681])).
% 218.60/141.16 tff(24683,plain,
% 218.60/141.16 (v102(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24139, 24682])).
% 218.60/141.16 tff(24684,plain,
% 218.60/141.16 (v104(constB16)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24142, 24683])).
% 218.60/141.16 tff(24685,plain,
% 218.60/141.16 (~((~v95(constB16)) | (~v104(constB16)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24173, 24684])).
% 218.60/141.16 tff(24686,plain,
% 218.60/141.16 (v94(constB16)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24176, 24685])).
% 218.60/141.16 tff(24687,plain,
% 218.60/141.16 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24184, 24686])).
% 218.60/141.16 tff(24688,plain,
% 218.60/141.16 (v84(constB16, 2) <=> v123(constB16, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24238, 24687])).
% 218.60/141.16 tff(24689,assumption,(v84(constB16, 2)), introduced(assumption)).
% 218.60/141.16 tff(24690,plain,
% 218.60/141.16 ((~(v84(constB16, 2) <=> v123(constB16, 2))) | v123(constB16, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24639, 24689])).
% 218.60/141.16 tff(24691,plain,
% 218.60/141.16 (v123(constB16, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24690, 24688])).
% 218.60/141.16 tff(24692,plain,
% 218.60/141.16 ((~(v123(constB16, 2) <=> v121(constB15, 2))) | v121(constB15, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24586, 24691])).
% 218.60/141.16 tff(24693,plain,
% 218.60/141.16 (v121(constB15, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24692, 24229])).
% 218.60/141.16 tff(24694,plain,
% 218.60/141.16 ((~(v121(constB15, 2) <=> v124(constB15, 2))) | v124(constB15, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24583, 24693])).
% 218.60/141.16 tff(24695,plain,
% 218.60/141.16 (v124(constB15, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24694, 24220])).
% 218.60/141.16 tff(24696,plain,
% 218.60/141.16 (~(v124(constB15, 2) <=> b011(2))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24580, 2569, 24695])).
% 218.60/141.16 tff(24697,assumption,(v84(constB16, 0)), introduced(assumption)).
% 218.60/141.16 tff(24698,plain,
% 218.60/141.16 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24358, 2418, 24352])).
% 218.60/141.16 tff(24699,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 0) <=> b010(0)))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24700,plain,
% 218.60/141.16 (($false | $false | (v124(constB15, 0) <=> b010(0))) <=> (v124(constB15, 0) <=> b010(0))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24701,plain,
% 218.60/141.16 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b010(0))) <=> ($false | $false | (v124(constB15, 0) <=> b010(0)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.16 tff(24702,plain,
% 218.60/141.16 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b010(0))) <=> (v124(constB15, 0) <=> b010(0))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24701, 24700])).
% 218.60/141.16 tff(24703,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 0) <=> b010(0)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[24702])).
% 218.60/141.16 tff(24704,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 0) <=> b010(0)))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24703, 24699])).
% 218.60/141.16 tff(24705,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b010(0)))),
% 218.60/141.16 inference(quant_inst,[status(thm)],[])).
% 218.60/141.16 tff(24706,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 0) <=> b010(0))),
% 218.60/141.16 inference(modus_ponens,[status(thm)],[24705, 24704])).
% 218.60/141.16 tff(24707,plain,
% 218.60/141.16 (v124(constB15, 0) <=> b010(0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24706, 24698])).
% 218.60/141.16 tff(24708,plain,
% 218.60/141.16 ((~(v124(constB15, 0) <=> b010(0))) | (~v124(constB15, 0)) | b010(0)),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24709,plain,
% 218.60/141.16 ((~(v124(constB15, 0) <=> b010(0))) | (~v124(constB15, 0))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24708, 2437])).
% 218.60/141.16 tff(24710,plain,
% 218.60/141.16 (~v124(constB15, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24709, 24707])).
% 218.60/141.16 tff(24711,plain,
% 218.60/141.16 ((~(v121(constB15, 0) <=> v124(constB15, 0))) | (~v121(constB15, 0)) | v124(constB15, 0)),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24712,plain,
% 218.60/141.16 ((~(v121(constB15, 0) <=> v124(constB15, 0))) | (~v121(constB15, 0))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24711, 24710])).
% 218.60/141.16 tff(24713,plain,
% 218.60/141.16 (~v121(constB15, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24712, 24259])).
% 218.60/141.16 tff(24714,plain,
% 218.60/141.16 ((v113(constB15) | v114(constB15)) | (~v114(constB15))),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24715,plain,
% 218.60/141.16 (v113(constB15) | v114(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24714, 24352])).
% 218.60/141.16 tff(24716,plain,
% 218.60/141.16 ((~(v112(constB15) <=> (v113(constB15) | v114(constB15)))) | v112(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24442, 24715])).
% 218.60/141.16 tff(24717,plain,
% 218.60/141.16 (v112(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24716, 22027])).
% 218.60/141.16 tff(24718,plain,
% 218.60/141.16 (v112(constB15) | v115(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24445, 24717])).
% 218.60/141.16 tff(24719,plain,
% 218.60/141.16 (v111(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24099, 24718, 22025])).
% 218.60/141.16 tff(24720,plain,
% 218.60/141.16 (v111(constB15) | v116(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24097, 24719])).
% 218.60/141.16 tff(24721,plain,
% 218.60/141.16 (v110(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24110, 24720, 24204])).
% 218.60/141.16 tff(24722,plain,
% 218.60/141.16 (v110(constB15) | v117(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24113, 24721])).
% 218.60/141.16 tff(24723,plain,
% 218.60/141.16 (v109(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24115, 24722, 21981])).
% 218.60/141.16 tff(24724,plain,
% 218.60/141.16 (v109(constB15) | v118(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24117, 24723])).
% 218.60/141.16 tff(24725,plain,
% 218.60/141.16 (v108(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24119, 24724, 21979])).
% 218.60/141.16 tff(24726,plain,
% 218.60/141.16 (v108(constB15) | v119(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24121, 24725])).
% 218.60/141.16 tff(24727,plain,
% 218.60/141.16 (v107(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24123, 24726, 21654])).
% 218.60/141.16 tff(24728,plain,
% 218.60/141.16 (~((~v107(constB15)) | (~v120(constB15)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24131, 24727])).
% 218.60/141.16 tff(24729,plain,
% 218.60/141.16 (v106(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24134, 24728])).
% 218.60/141.16 tff(24730,plain,
% 218.60/141.16 (v105(constB15) | v106(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24136, 24729])).
% 218.60/141.16 tff(24731,plain,
% 218.60/141.16 (v102(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24139, 24730])).
% 218.60/141.16 tff(24732,plain,
% 218.60/141.16 (v104(constB16)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24142, 24731])).
% 218.60/141.16 tff(24733,plain,
% 218.60/141.16 (~((~v95(constB16)) | (~v104(constB16)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24173, 24732])).
% 218.60/141.16 tff(24734,plain,
% 218.60/141.16 (v94(constB16)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24176, 24733])).
% 218.60/141.16 tff(24735,plain,
% 218.60/141.16 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24184, 24734])).
% 218.60/141.16 tff(24736,plain,
% 218.60/141.16 (v84(constB16, 0) <=> v123(constB16, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24276, 24735])).
% 218.60/141.16 tff(24737,plain,
% 218.60/141.16 ((~(v84(constB16, 0) <=> v123(constB16, 0))) | (~v84(constB16, 0)) | v123(constB16, 0)),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24738,plain,
% 218.60/141.16 ((~(v84(constB16, 0) <=> v123(constB16, 0))) | v123(constB16, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24737, 24697])).
% 218.60/141.16 tff(24739,plain,
% 218.60/141.16 (v123(constB16, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24738, 24736])).
% 218.60/141.16 tff(24740,plain,
% 218.60/141.16 ((~(v123(constB16, 0) <=> v121(constB15, 0))) | (~v123(constB16, 0)) | v121(constB15, 0)),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24741,plain,
% 218.60/141.16 ((~(v123(constB16, 0) <=> v121(constB15, 0))) | v121(constB15, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24740, 24739])).
% 218.60/141.16 tff(24742,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24741, 24713, 24268])).
% 218.60/141.16 tff(24743,plain,((~v114(constB15)) | (~v84(constB16, 0))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24744,plain,
% 218.60/141.16 (~v114(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24743, 24697])).
% 218.60/141.16 tff(24745,plain,
% 218.60/141.16 (v84(constB16, 0) <=> v123(constB16, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24276, 24687])).
% 218.60/141.16 tff(24746,plain,
% 218.60/141.16 (v123(constB16, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24738, 24745])).
% 218.60/141.16 tff(24747,plain,
% 218.60/141.16 ((~(v123(constB16, 0) <=> v121(constB15, 0))) | v121(constB15, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24740, 24746])).
% 218.60/141.16 tff(24748,plain,
% 218.60/141.16 (v121(constB15, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24747, 24268])).
% 218.60/141.16 tff(24749,plain,
% 218.60/141.16 ((~(v121(constB15, 0) <=> v124(constB15, 0))) | v124(constB15, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24711, 24748])).
% 218.60/141.16 tff(24750,plain,
% 218.60/141.16 (v124(constB15, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24749, 24259])).
% 218.60/141.16 tff(24751,assumption,(v124(constB15, 0)), introduced(assumption)).
% 218.60/141.16 tff(24752,plain,
% 218.60/141.16 ((~(v124(constB15, 0) <=> b100(0))) | (~v124(constB15, 0)) | b100(0)),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24753,plain,
% 218.60/141.16 (~(v124(constB15, 0) <=> b100(0))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24752, 3674, 24751])).
% 218.60/141.16 tff(24754,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))), introduced(assumption)).
% 218.60/141.16 tff(24755,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 0) <=> b100(0)))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24756,plain,
% 218.60/141.16 (($false | $false | (v124(constB15, 0) <=> b100(0))) <=> (v124(constB15, 0) <=> b100(0))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24757,plain,
% 218.60/141.16 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b100(0))) <=> ($false | $false | (v124(constB15, 0) <=> b100(0)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.16 tff(24758,plain,
% 218.60/141.16 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b100(0))) <=> (v124(constB15, 0) <=> b100(0))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24757, 24756])).
% 218.60/141.16 tff(24759,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 0) <=> b100(0)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[24758])).
% 218.60/141.16 tff(24760,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 0) <=> b100(0)))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24759, 24755])).
% 218.60/141.16 tff(24761,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b100(0)))),
% 218.60/141.16 inference(quant_inst,[status(thm)],[])).
% 218.60/141.16 tff(24762,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (v124(constB15, 0) <=> b100(0))),
% 218.60/141.16 inference(modus_ponens,[status(thm)],[24761, 24760])).
% 218.60/141.16 tff(24763,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24762, 24754, 24753])).
% 218.60/141.16 tff(24764,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))) | (~v124(constB15, 0))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24765,plain,
% 218.60/141.16 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24764, 24750])).
% 218.60/141.16 tff(24766,plain,
% 218.60/141.16 ((~(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))) | (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[23513, 23512])).
% 218.60/141.16 tff(24767,plain,
% 218.60/141.16 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24766, 22036])).
% 218.60/141.16 tff(24768,plain,
% 218.60/141.16 (v84(constB15, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[23917, 24767, 23503])).
% 218.60/141.16 tff(24769,plain,
% 218.60/141.16 (v111(constB15) | v116(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24108, 24768, 23503])).
% 218.60/141.16 tff(24770,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))), introduced(assumption)).
% 218.60/141.16 tff(24771,plain,
% 218.60/141.16 (~v116(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24515, 2230, 24770])).
% 218.60/141.16 tff(24772,plain,
% 218.60/141.16 (v111(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22064, 24771, 24769])).
% 218.60/141.16 tff(24773,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))), introduced(assumption)).
% 218.60/141.16 tff(24774,plain,
% 218.60/141.16 (~v115(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24502, 2144, 24773])).
% 218.60/141.16 tff(24775,plain,
% 218.60/141.16 (v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24473, 24768])).
% 218.60/141.16 tff(24776,plain,
% 218.60/141.16 (~v113(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22032, 24775, 22029])).
% 218.60/141.16 tff(24777,plain,
% 218.60/141.16 (~(v113(constB15) | v114(constB15))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22042, 23512, 24776])).
% 218.60/141.16 tff(24778,plain,
% 218.60/141.16 ((~(v112(constB15) <=> (v113(constB15) | v114(constB15)))) | (~v112(constB15))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22044, 24777])).
% 218.60/141.16 tff(24779,plain,
% 218.60/141.16 (~v112(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24778, 22027])).
% 218.60/141.16 tff(24780,plain,
% 218.60/141.16 (~(v112(constB15) | v115(constB15))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22059, 24779, 24774])).
% 218.60/141.16 tff(24781,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22062, 24780, 24772, 22025])).
% 218.60/141.16 tff(24782,plain,(v84(constB15, 2) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B))) | v114(constB15)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24783,plain,
% 218.60/141.16 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24782, 24765, 23503, 24744])).
% 218.60/141.16 tff(24784,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24578, 24783, 24696])).
% 218.60/141.16 tff(24785,plain,(v84(constB15, 2) | (~v84(constB16, 2)) | (~v84(constB16, 0)) | (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24786,plain,
% 218.60/141.16 (~v84(constB16, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24785, 24669, 23515, 23503])).
% 218.60/141.16 tff(24787,plain,
% 218.60/141.16 ((~v84(constB17, 2)) | v84(constB16, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22356, 22336])).
% 218.60/141.16 tff(24788,plain,
% 218.60/141.16 (~v84(constB17, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24787, 24786])).
% 218.60/141.16 tff(24789,plain,
% 218.60/141.16 (v111(constB15) | v116(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24108, 23503, 23918])).
% 218.60/141.16 tff(24790,plain,
% 218.60/141.16 (v110(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24111, 24789])).
% 218.60/141.16 tff(24791,plain,
% 218.60/141.16 (v110(constB15) | v117(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24113, 24790])).
% 218.60/141.16 tff(24792,plain,
% 218.60/141.16 ((~(v109(constB15) <=> (v110(constB15) | v117(constB15)))) | v109(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24115, 24791])).
% 218.60/141.16 tff(24793,plain,
% 218.60/141.16 (v109(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24792, 21981])).
% 218.60/141.16 tff(24794,plain,
% 218.60/141.16 (v109(constB15) | v118(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24117, 24793])).
% 218.60/141.16 tff(24795,plain,
% 218.60/141.16 (v108(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24119, 24794, 21979])).
% 218.60/141.16 tff(24796,plain,
% 218.60/141.16 (v108(constB15) | v119(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24121, 24795])).
% 218.60/141.16 tff(24797,plain,
% 218.60/141.16 (v107(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24123, 24796, 21654])).
% 218.60/141.16 tff(24798,plain,
% 218.60/141.16 (~((~v107(constB15)) | (~v120(constB15)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24131, 24797])).
% 218.60/141.16 tff(24799,plain,
% 218.60/141.16 (v106(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24134, 24798])).
% 218.60/141.16 tff(24800,plain,
% 218.60/141.16 (v105(constB15) | v106(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24136, 24799])).
% 218.60/141.16 tff(24801,plain,
% 218.60/141.16 (v102(constB15)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24139, 24800])).
% 218.60/141.16 tff(24802,plain,
% 218.60/141.16 (v104(constB16)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24142, 24801])).
% 218.60/141.16 tff(24803,plain,
% 218.60/141.16 (~((~v95(constB16)) | (~v104(constB16)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24173, 24802])).
% 218.60/141.16 tff(24804,plain,
% 218.60/141.16 (v94(constB16)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24176, 24803])).
% 218.60/141.16 tff(24805,plain,
% 218.60/141.16 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24184, 24804])).
% 218.60/141.16 tff(24806,assumption,(~(v84(constB16, 1) <=> v123(constB16, 1))), introduced(assumption)).
% 218.60/141.16 tff(24807,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24193, 24230, 24806])).
% 218.60/141.16 tff(24808,plain,((v84(constB16, 1) <=> v123(constB16, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24809,plain,
% 218.60/141.16 (v84(constB16, 1) <=> v123(constB16, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24808, 24805])).
% 218.60/141.16 tff(24810,assumption,(~(v121(constB15, 0) <=> v124(constB15, 0))), introduced(assumption)).
% 218.60/141.16 tff(24811,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24258, 24211, 24810])).
% 218.60/141.16 tff(24812,plain,(v121(constB15, 0) <=> v124(constB15, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24813,assumption,(~(v123(constB16, 0) <=> v121(constB15, 0))), introduced(assumption)).
% 218.60/141.16 tff(24814,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24267, 24077, 24813])).
% 218.60/141.16 tff(24815,plain,(v123(constB16, 0) <=> v121(constB15, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24816,plain,
% 218.60/141.16 (v84(constB16, 0) <=> v123(constB16, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24276, 24805])).
% 218.60/141.16 tff(24817,plain,
% 218.60/141.16 ((~(v84(constB16, 0) <=> v123(constB16, 0))) | v123(constB16, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24737, 24669])).
% 218.60/141.16 tff(24818,plain,
% 218.60/141.16 (v123(constB16, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24817, 24816])).
% 218.60/141.16 tff(24819,plain,
% 218.60/141.16 (v121(constB15, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24740, 24818, 24815])).
% 218.60/141.16 tff(24820,plain,
% 218.60/141.16 (v124(constB15, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24711, 24819, 24812])).
% 218.60/141.16 tff(24821,plain,
% 218.60/141.16 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24764, 24820])).
% 218.60/141.16 tff(24822,plain,
% 218.60/141.16 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24782, 24821, 23512, 23503])).
% 218.60/141.16 tff(24823,plain,
% 218.60/141.16 ((~(v124(constB15, 1) <=> b011(1))) | v124(constB15, 1) | (~b011(1))),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24824,plain,
% 218.60/141.16 (~(v124(constB15, 1) <=> b011(1))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24823, 2593, 24336])).
% 218.60/141.16 tff(24825,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 1) <=> b011(1)))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24826,plain,
% 218.60/141.16 (($false | $false | (v124(constB15, 1) <=> b011(1))) <=> (v124(constB15, 1) <=> b011(1))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24827,plain,
% 218.60/141.16 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b011(1))) <=> ($false | $false | (v124(constB15, 1) <=> b011(1)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.16 tff(24828,plain,
% 218.60/141.16 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b011(1))) <=> (v124(constB15, 1) <=> b011(1))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24827, 24826])).
% 218.60/141.16 tff(24829,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 1) <=> b011(1)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[24828])).
% 218.60/141.16 tff(24830,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 1) <=> b011(1)))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24829, 24825])).
% 218.60/141.16 tff(24831,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b011(1)))),
% 218.60/141.16 inference(quant_inst,[status(thm)],[])).
% 218.60/141.16 tff(24832,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | (v124(constB15, 1) <=> b011(1))),
% 218.60/141.16 inference(modus_ponens,[status(thm)],[24831, 24830])).
% 218.60/141.16 tff(24833,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24832, 24485, 24824])).
% 218.60/141.16 tff(24834,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))) | v124(constB15, 1)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24835,plain,
% 218.60/141.16 (v124(constB15, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24834, 24822])).
% 218.60/141.16 tff(24836,assumption,(~(v121(constB15, 1) <=> v124(constB15, 1))), introduced(assumption)).
% 218.60/141.16 tff(24837,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24323, 24211, 24836])).
% 218.60/141.16 tff(24838,plain,(v121(constB15, 1) <=> v124(constB15, 1)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24839,plain,
% 218.60/141.16 (v121(constB15, 1) | (~v124(constB15, 1))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24333, 24838])).
% 218.60/141.16 tff(24840,plain,
% 218.60/141.16 (v121(constB15, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24839, 24835])).
% 218.60/141.16 tff(24841,plain,
% 218.60/141.16 (v123(constB16, 1) | (~v121(constB15, 1))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24330, 24087])).
% 218.60/141.16 tff(24842,plain,
% 218.60/141.16 (v123(constB16, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24841, 24840])).
% 218.60/141.16 tff(24843,plain,
% 218.60/141.16 (v84(constB16, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24327, 24842, 24809])).
% 218.60/141.16 tff(24844,plain,
% 218.60/141.16 (v84(constB17, 1)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22237, 24843])).
% 218.60/141.16 tff(24845,plain,
% 218.60/141.16 ((~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))) | v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24846,plain,
% 218.60/141.16 (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24845, 24844, 24666, 24788])).
% 218.60/141.16 tff(24847,plain,
% 218.60/141.16 ((~(v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))))) | v116(constB17) | (v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24848,plain,
% 218.60/141.16 (v116(constB17)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24847, 24846, 22313])).
% 218.60/141.16 tff(24849,plain,
% 218.60/141.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B))))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24850,plain,
% 218.60/141.16 (((~v116(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B))))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24851,plain,
% 218.60/141.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[24850])).
% 218.60/141.16 tff(24852,plain,
% 218.60/141.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B))))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24851, 24849])).
% 218.60/141.16 tff(24853,plain,
% 218.60/141.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.16 inference(quant_inst,[status(thm)],[])).
% 218.60/141.16 tff(24854,plain,
% 218.60/141.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))),
% 218.60/141.16 inference(modus_ponens,[status(thm)],[24853, 24852])).
% 218.60/141.16 tff(24855,plain,
% 218.60/141.16 ((~v116(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24854, 2230])).
% 218.60/141.16 tff(24856,plain,
% 218.60/141.16 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24855, 24848])).
% 218.60/141.16 tff(24857,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | (v124(constB17, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | (v124(constB17, 2) <=> b100(2)))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24858,plain,
% 218.60/141.16 (($false | $false | (v124(constB17, 2) <=> b100(2))) <=> (v124(constB17, 2) <=> b100(2))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24859,plain,
% 218.60/141.16 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b100(2))) <=> ($false | $false | (v124(constB17, 2) <=> b100(2)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.16 tff(24860,plain,
% 218.60/141.16 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b100(2))) <=> (v124(constB17, 2) <=> b100(2))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24859, 24858])).
% 218.60/141.16 tff(24861,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | (v124(constB17, 2) <=> b100(2)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[24860])).
% 218.60/141.16 tff(24862,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | (v124(constB17, 2) <=> b100(2)))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24861, 24857])).
% 218.60/141.16 tff(24863,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b100(2)))),
% 218.60/141.16 inference(quant_inst,[status(thm)],[])).
% 218.60/141.16 tff(24864,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | (v124(constB17, 2) <=> b100(2))),
% 218.60/141.16 inference(modus_ponens,[status(thm)],[24863, 24862])).
% 218.60/141.16 tff(24865,plain,
% 218.60/141.16 (v124(constB17, 2) <=> b100(2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24864, 24856])).
% 218.60/141.16 tff(24866,assumption,(~v94(constB18)), introduced(assumption)).
% 218.60/141.16 tff(24867,plain,
% 218.60/141.16 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22475, 24866])).
% 218.60/141.16 tff(24868,plain,
% 218.60/141.16 (v84(constB18, 0) <=> v84(constB17, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22511, 24867])).
% 218.60/141.16 tff(24869,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))), introduced(assumption)).
% 218.60/141.16 tff(24870,plain,
% 218.60/141.16 (v84(constB18, 2) <=> v84(constB17, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22575, 24869])).
% 218.60/141.16 tff(24871,plain,
% 218.60/141.16 ((~(v84(constB18, 2) <=> v84(constB17, 2))) | (~v84(constB17, 2))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22577, 21530])).
% 218.60/141.16 tff(24872,plain,
% 218.60/141.16 (~v84(constB17, 2)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24871, 24870])).
% 218.60/141.16 tff(24873,plain,
% 218.60/141.16 (v84(constB18, 0) <=> v84(constB17, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22511, 24869])).
% 218.60/141.16 tff(24874,plain,
% 218.60/141.16 ((~(v84(constB18, 0) <=> v84(constB17, 0))) | (~v84(constB17, 0))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22513, 21604])).
% 218.60/141.16 tff(24875,plain,
% 218.60/141.16 (~v84(constB17, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24874, 24873])).
% 218.60/141.16 tff(24876,plain,
% 218.60/141.16 (v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[22296, 622])).
% 218.60/141.16 tff(24877,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 0) <=> v121(constB17, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 0) <=> v121(constB17, 0)))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24878,plain,
% 218.60/141.16 (($false | $false | (v123(constB18, 0) <=> v121(constB17, 0))) <=> (v123(constB18, 0) <=> v121(constB17, 0))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24879,plain,
% 218.60/141.16 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB18, 0) <=> v121(constB17, 0))) <=> ($false | $false | (v123(constB18, 0) <=> v121(constB17, 0)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.16 tff(24880,plain,
% 218.60/141.16 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB18, 0) <=> v121(constB17, 0))) <=> (v123(constB18, 0) <=> v121(constB17, 0))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24879, 24878])).
% 218.60/141.16 tff(24881,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB18, 0) <=> v121(constB17, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 0) <=> v121(constB17, 0)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[24880])).
% 218.60/141.16 tff(24882,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB18, 0) <=> v121(constB17, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 0) <=> v121(constB17, 0)))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24881, 24877])).
% 218.60/141.16 tff(24883,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB18, 0) <=> v121(constB17, 0)))),
% 218.60/141.16 inference(quant_inst,[status(thm)],[])).
% 218.60/141.16 tff(24884,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 0) <=> v121(constB17, 0))),
% 218.60/141.16 inference(modus_ponens,[status(thm)],[24883, 24882])).
% 218.60/141.16 tff(24885,plain,
% 218.60/141.16 (v123(constB18, 0) <=> v121(constB17, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24884, 23941])).
% 218.60/141.16 tff(24886,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 0) <=> v124(constB17, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 0) <=> v124(constB17, 0)))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24887,plain,
% 218.60/141.16 (($false | $false | (v121(constB17, 0) <=> v124(constB17, 0))) <=> (v121(constB17, 0) <=> v124(constB17, 0))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24888,plain,
% 218.60/141.16 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB17, 0) <=> v124(constB17, 0))) <=> ($false | $false | (v121(constB17, 0) <=> v124(constB17, 0)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.16 tff(24889,plain,
% 218.60/141.16 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB17, 0) <=> v124(constB17, 0))) <=> (v121(constB17, 0) <=> v124(constB17, 0))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24888, 24887])).
% 218.60/141.16 tff(24890,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB17, 0) <=> v124(constB17, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 0) <=> v124(constB17, 0)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[24889])).
% 218.60/141.16 tff(24891,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB17, 0) <=> v124(constB17, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 0) <=> v124(constB17, 0)))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24890, 24886])).
% 218.60/141.16 tff(24892,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB17, 0) <=> v124(constB17, 0)))),
% 218.60/141.16 inference(quant_inst,[status(thm)],[])).
% 218.60/141.16 tff(24893,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 0) <=> v124(constB17, 0))),
% 218.60/141.16 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 218.60/141.16 tff(24894,plain,
% 218.60/141.16 (v121(constB17, 0) <=> v124(constB17, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24893, 23925])).
% 218.60/141.16 tff(24895,assumption,(v115(constB17)), introduced(assumption)).
% 218.60/141.16 tff(24896,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))), introduced(assumption)).
% 218.60/141.16 tff(24897,plain,
% 218.60/141.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B))))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24898,plain,
% 218.60/141.16 (((~v115(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B))))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24899,plain,
% 218.60/141.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[24898])).
% 218.60/141.16 tff(24900,plain,
% 218.60/141.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B))))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24899, 24897])).
% 218.60/141.16 tff(24901,plain,
% 218.60/141.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.16 inference(quant_inst,[status(thm)],[])).
% 218.60/141.16 tff(24902,plain,
% 218.60/141.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))),
% 218.60/141.16 inference(modus_ponens,[status(thm)],[24901, 24900])).
% 218.60/141.16 tff(24903,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24902, 2144, 24895, 24896])).
% 218.60/141.16 tff(24904,plain,((~v115(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24905,plain,
% 218.60/141.16 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24904, 24895])).
% 218.60/141.16 tff(24906,assumption,(~v124(constB17, 0)), introduced(assumption)).
% 218.60/141.16 tff(24907,plain,
% 218.60/141.16 ((~(v124(constB17, 0) <=> b011(0))) | v124(constB17, 0) | (~b011(0))),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24908,plain,
% 218.60/141.16 (~(v124(constB17, 0) <=> b011(0))),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24907, 2025, 24906])).
% 218.60/141.16 tff(24909,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))), introduced(assumption)).
% 218.60/141.16 tff(24910,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 0) <=> b011(0)))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24911,plain,
% 218.60/141.16 (($false | $false | (v124(constB17, 0) <=> b011(0))) <=> (v124(constB17, 0) <=> b011(0))),
% 218.60/141.16 inference(rewrite,[status(thm)],[])).
% 218.60/141.16 tff(24912,plain,
% 218.60/141.16 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b011(0))) <=> ($false | $false | (v124(constB17, 0) <=> b011(0)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.16 tff(24913,plain,
% 218.60/141.16 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b011(0))) <=> (v124(constB17, 0) <=> b011(0))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24912, 24911])).
% 218.60/141.16 tff(24914,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 0) <=> b011(0)))),
% 218.60/141.16 inference(monotonicity,[status(thm)],[24913])).
% 218.60/141.16 tff(24915,plain,
% 218.60/141.16 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 0) <=> b011(0)))),
% 218.60/141.16 inference(transitivity,[status(thm)],[24914, 24910])).
% 218.60/141.16 tff(24916,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b011(0)))),
% 218.60/141.16 inference(quant_inst,[status(thm)],[])).
% 218.60/141.16 tff(24917,plain,
% 218.60/141.16 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 0) <=> b011(0))),
% 218.60/141.16 inference(modus_ponens,[status(thm)],[24916, 24915])).
% 218.60/141.16 tff(24918,plain,
% 218.60/141.16 ($false),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24917, 24909, 24908])).
% 218.60/141.16 tff(24919,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | v124(constB17, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.16 tff(24920,plain,
% 218.60/141.16 (v124(constB17, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24919, 24905])).
% 218.60/141.16 tff(24921,plain,
% 218.60/141.16 ((~(v121(constB17, 0) <=> v124(constB17, 0))) | v121(constB17, 0) | (~v124(constB17, 0))),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24922,plain,
% 218.60/141.16 ((~(v121(constB17, 0) <=> v124(constB17, 0))) | v121(constB17, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24921, 24920])).
% 218.60/141.16 tff(24923,plain,
% 218.60/141.16 (v121(constB17, 0)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24922, 24894])).
% 218.60/141.16 tff(24924,plain,
% 218.60/141.16 ((v112(constB17) | v115(constB17)) | (~v115(constB17))),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24925,plain,
% 218.60/141.16 (v112(constB17) | v115(constB17)),
% 218.60/141.16 inference(unit_resolution,[status(thm)],[24924, 24895])).
% 218.60/141.16 tff(24926,plain,
% 218.60/141.16 ((~(v111(constB17) <=> (v112(constB17) | v115(constB17)))) | v111(constB17) | (~(v112(constB17) | v115(constB17)))),
% 218.60/141.16 inference(tautology,[status(thm)],[])).
% 218.60/141.16 tff(24927,plain,
% 218.60/141.16 ((~(v111(constB17) <=> (v112(constB17) | v115(constB17)))) | v111(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24926, 24925])).
% 218.60/141.17 tff(24928,plain,
% 218.60/141.17 (v111(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24927, 21648])).
% 218.60/141.17 tff(24929,plain,
% 218.60/141.17 ((v111(constB17) | v116(constB17)) | (~v111(constB17))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(24930,plain,
% 218.60/141.17 (v111(constB17) | v116(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24929, 24928])).
% 218.60/141.17 tff(24931,plain,
% 218.60/141.17 ((~(v110(constB17) <=> (v111(constB17) | v116(constB17)))) | v110(constB17) | (~(v111(constB17) | v116(constB17)))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(24932,plain,
% 218.60/141.17 (v110(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24931, 24930, 21646])).
% 218.60/141.17 tff(24933,plain,
% 218.60/141.17 ((v110(constB17) | v117(constB17)) | (~v110(constB17))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(24934,plain,
% 218.60/141.17 (v110(constB17) | v117(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24933, 24932])).
% 218.60/141.17 tff(24935,plain,
% 218.60/141.17 (v109(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23954, 24934, 21644])).
% 218.60/141.17 tff(24936,plain,
% 218.60/141.17 (v109(constB17) | v118(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23956, 24935])).
% 218.60/141.17 tff(24937,plain,
% 218.60/141.17 (v108(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23958, 24936, 21642])).
% 218.60/141.17 tff(24938,plain,
% 218.60/141.17 (v108(constB17) | v119(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23960, 24937])).
% 218.60/141.17 tff(24939,plain,
% 218.60/141.17 (v107(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23962, 24938, 21640])).
% 218.60/141.17 tff(24940,plain,
% 218.60/141.17 (~((~v107(constB17)) | (~v120(constB17)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23970, 24939])).
% 218.60/141.17 tff(24941,plain,
% 218.60/141.17 (v106(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23973, 24940])).
% 218.60/141.17 tff(24942,plain,
% 218.60/141.17 (v105(constB17) | v106(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23975, 24941])).
% 218.60/141.17 tff(24943,plain,
% 218.60/141.17 (v102(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23978, 24942])).
% 218.60/141.17 tff(24944,plain,
% 218.60/141.17 (v104(constB18)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23981, 24943])).
% 218.60/141.17 tff(24945,plain,
% 218.60/141.17 (~((~v95(constB18)) | (~v104(constB18)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24012, 24944])).
% 218.60/141.17 tff(24946,plain,
% 218.60/141.17 (v94(constB18)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24015, 24945])).
% 218.60/141.17 tff(24947,plain,
% 218.60/141.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24023, 24946])).
% 218.60/141.17 tff(24948,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 0) <=> v123(constB18, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 0) <=> v123(constB18, 0)))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(24949,plain,
% 218.60/141.17 (($false | $false | (v84(constB18, 0) <=> v123(constB18, 0))) <=> (v84(constB18, 0) <=> v123(constB18, 0))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(24950,plain,
% 218.60/141.17 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB18, 0) <=> v123(constB18, 0))) <=> ($false | $false | (v84(constB18, 0) <=> v123(constB18, 0)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.17 tff(24951,plain,
% 218.60/141.17 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB18, 0) <=> v123(constB18, 0))) <=> (v84(constB18, 0) <=> v123(constB18, 0))),
% 218.60/141.17 inference(transitivity,[status(thm)],[24950, 24949])).
% 218.60/141.17 tff(24952,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB18, 0) <=> v123(constB18, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 0) <=> v123(constB18, 0)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[24951])).
% 218.60/141.17 tff(24953,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB18, 0) <=> v123(constB18, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 0) <=> v123(constB18, 0)))),
% 218.60/141.17 inference(transitivity,[status(thm)],[24952, 24948])).
% 218.60/141.17 tff(24954,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB18, 0) <=> v123(constB18, 0)))),
% 218.60/141.17 inference(quant_inst,[status(thm)],[])).
% 218.60/141.17 tff(24955,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 0) <=> v123(constB18, 0))),
% 218.60/141.17 inference(modus_ponens,[status(thm)],[24954, 24953])).
% 218.60/141.17 tff(24956,plain,
% 218.60/141.17 (v84(constB18, 0) <=> v123(constB18, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24955, 24947])).
% 218.60/141.17 tff(24957,plain,
% 218.60/141.17 ((~(v84(constB18, 0) <=> v123(constB18, 0))) | v84(constB18, 0) | (~v123(constB18, 0))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(24958,plain,
% 218.60/141.17 ((~(v84(constB18, 0) <=> v123(constB18, 0))) | (~v123(constB18, 0))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24957, 21604])).
% 218.60/141.17 tff(24959,plain,
% 218.60/141.17 (~v123(constB18, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24958, 24956])).
% 218.60/141.17 tff(24960,plain,
% 218.60/141.17 ((~(v123(constB18, 0) <=> v121(constB17, 0))) | v123(constB18, 0) | (~v121(constB17, 0))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(24961,plain,
% 218.60/141.17 ((~(v123(constB18, 0) <=> v121(constB17, 0))) | (~v121(constB17, 0))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24960, 24959])).
% 218.60/141.17 tff(24962,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24961, 24923, 24885])).
% 218.60/141.17 tff(24963,plain,((~v115(constB17)) | v84(constB18, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(24964,plain,
% 218.60/141.17 (~v115(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24963, 21604])).
% 218.60/141.17 tff(24965,plain,
% 218.60/141.17 ((~(v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))))) | v115(constB17) | (v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(24966,plain,
% 218.60/141.17 ((~(v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))))) | (v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24965, 24964])).
% 218.60/141.17 tff(24967,plain,
% 218.60/141.17 (v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24966, 24876])).
% 218.60/141.17 tff(24968,plain,
% 218.60/141.17 ((~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))) | v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(24969,plain,
% 218.60/141.17 (~v84(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24968, 24967, 24875, 24872])).
% 218.60/141.17 tff(24970,plain,
% 218.60/141.17 (~v84(constB16, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22272, 24875])).
% 218.60/141.17 tff(24971,plain,
% 218.60/141.17 ((~(v84(constB17, 2) <=> v84(constB16, 2))) | (~v84(constB16, 2))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22337, 24872])).
% 218.60/141.17 tff(24972,plain,
% 218.60/141.17 (~v84(constB16, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24971, 22352])).
% 218.60/141.17 tff(24973,plain,
% 218.60/141.17 (v84(constB16, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24555, 24972, 24970])).
% 218.60/141.17 tff(24974,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22237, 24973, 24969])).
% 218.60/141.17 tff(24975,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | v84(constB18, 2) | v84(constB18, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(24976,plain,
% 218.60/141.17 (v84(constB18, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24975, 24867, 21530])).
% 218.60/141.17 tff(24977,plain,
% 218.60/141.17 ((~(v84(constB18, 0) <=> v84(constB17, 0))) | (~v84(constB18, 0)) | v84(constB17, 0)),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(24978,plain,
% 218.60/141.17 ((~(v84(constB18, 0) <=> v84(constB17, 0))) | v84(constB17, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24977, 24976])).
% 218.60/141.17 tff(24979,plain,
% 218.60/141.17 (v84(constB17, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24978, 24868])).
% 218.60/141.17 tff(24980,plain,
% 218.60/141.17 (v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22288, 24979])).
% 218.60/141.17 tff(24981,assumption,(~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2))), introduced(assumption)).
% 218.60/141.17 tff(24982,plain,
% 218.60/141.17 (~v84(constB17, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22274, 24981])).
% 218.60/141.17 tff(24983,plain,
% 218.60/141.17 ((v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)) | (~v84(constB17, 1))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(24984,plain,
% 218.60/141.17 (~v84(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24983, 24981])).
% 218.60/141.17 tff(24985,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24558, 24984, 24982, 24195])).
% 218.60/141.17 tff(24986,plain,((v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)) | (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(24987,plain,
% 218.60/141.17 (v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24986, 24069])).
% 218.60/141.17 tff(24988,plain,
% 218.60/141.17 (v84(constB18, 2) <=> v84(constB17, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22575, 24867])).
% 218.60/141.17 tff(24989,plain,
% 218.60/141.17 (~v84(constB17, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24871, 24988])).
% 218.60/141.17 tff(24990,assumption,(~(v111(constB17) | v116(constB17))), introduced(assumption)).
% 218.60/141.17 tff(24991,plain,
% 218.60/141.17 (~v111(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24929, 24990])).
% 218.60/141.17 tff(24992,plain,
% 218.60/141.17 (~(v112(constB17) | v115(constB17))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24926, 24991, 21648])).
% 218.60/141.17 tff(24993,plain,
% 218.60/141.17 ((v112(constB17) | v115(constB17)) | (~v112(constB17))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(24994,plain,
% 218.60/141.17 (~v112(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24993, 24992])).
% 218.60/141.17 tff(24995,plain,
% 218.60/141.17 ((~(v112(constB17) <=> (v113(constB17) | v114(constB17)))) | v112(constB17) | (~(v113(constB17) | v114(constB17)))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(24996,plain,
% 218.60/141.17 (~(v113(constB17) | v114(constB17))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24995, 24994, 21650])).
% 218.60/141.17 tff(24997,assumption,(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)), introduced(assumption)).
% 218.60/141.17 tff(24998,assumption,(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))), introduced(assumption)).
% 218.60/141.17 tff(24999,assumption,(~v84(constB17, 2)), introduced(assumption)).
% 218.60/141.17 tff(25000,plain,
% 218.60/141.17 ((v111(constB17) | v116(constB17)) | (~v116(constB17))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25001,plain,
% 218.60/141.17 (~v116(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25000, 24990])).
% 218.60/141.17 tff(25002,plain,
% 218.60/141.17 (v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24847, 25001, 22313])).
% 218.60/141.17 tff(25003,assumption,(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))), introduced(assumption)).
% 218.60/141.17 tff(25004,plain,
% 218.60/141.17 ((~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2))) | v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25005,plain,
% 218.60/141.17 (v84(constB17, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25004, 24999, 24197, 24997])).
% 218.60/141.17 tff(25006,plain,
% 218.60/141.17 ((~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))) | v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25007,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25006, 25005, 24999, 24197, 25003])).
% 218.60/141.17 tff(25008,plain,(v84(constB17, 2) | v84(constB17, 1) | (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))) | (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25009,plain,
% 218.60/141.17 (v84(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25008, 24999, 25003, 24997])).
% 218.60/141.17 tff(25010,assumption,(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))), introduced(assumption)).
% 218.60/141.17 tff(25011,plain,
% 218.60/141.17 (~v84(constB17, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24845, 25009, 24999, 25010])).
% 218.60/141.17 tff(25012,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24968, 25011, 25009, 24999, 24998])).
% 218.60/141.17 tff(25013,plain,(v84(constB17, 2) | (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))) | (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))) | (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))) | (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25014,plain,
% 218.60/141.17 (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25013, 25002, 24999, 24998, 24997])).
% 218.60/141.17 tff(25015,plain,
% 218.60/141.17 ((~(v114(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))))) | v114(constB17) | (v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25016,plain,
% 218.60/141.17 (v114(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25015, 25014, 21652])).
% 218.60/141.17 tff(25017,plain,
% 218.60/141.17 ((v113(constB17) | v114(constB17)) | (~v114(constB17))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25018,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25017, 25016, 24996])).
% 218.60/141.17 tff(25019,plain,((v111(constB17) | v116(constB17)) | v84(constB17, 2) | (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))) | (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25020,plain,
% 218.60/141.17 (v111(constB17) | v116(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25019, 24989, 24987, 24980])).
% 218.60/141.17 tff(25021,plain,
% 218.60/141.17 ((~(v110(constB17) <=> (v111(constB17) | v116(constB17)))) | v110(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24931, 25020])).
% 218.60/141.17 tff(25022,plain,
% 218.60/141.17 (v110(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25021, 21646])).
% 218.60/141.17 tff(25023,plain,
% 218.60/141.17 ((~v95(constB18)) | (~v104(constB18))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24015, 24866])).
% 218.60/141.17 tff(25024,plain,
% 218.60/141.17 (~v104(constB18)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24012, 25023])).
% 218.60/141.17 tff(25025,plain,
% 218.60/141.17 (~v102(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23981, 25024])).
% 218.60/141.17 tff(25026,plain,
% 218.60/141.17 (~(v105(constB17) | v106(constB17))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23978, 25025])).
% 218.60/141.17 tff(25027,plain,
% 218.60/141.17 (~v106(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23975, 25026])).
% 218.60/141.17 tff(25028,plain,
% 218.60/141.17 ((~v107(constB17)) | (~v120(constB17))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23973, 25027])).
% 218.60/141.17 tff(25029,plain,
% 218.60/141.17 (~v107(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23970, 25028])).
% 218.60/141.17 tff(25030,plain,
% 218.60/141.17 ((~(v107(constB17) <=> (v108(constB17) | v119(constB17)))) | (~(v108(constB17) | v119(constB17)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23962, 25029])).
% 218.60/141.17 tff(25031,plain,
% 218.60/141.17 (~(v108(constB17) | v119(constB17))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25030, 21640])).
% 218.60/141.17 tff(25032,plain,
% 218.60/141.17 (~v108(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23960, 25031])).
% 218.60/141.17 tff(25033,plain,
% 218.60/141.17 ((~(v108(constB17) <=> (v109(constB17) | v118(constB17)))) | (~(v109(constB17) | v118(constB17)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23958, 25032])).
% 218.60/141.17 tff(25034,plain,
% 218.60/141.17 (~(v109(constB17) | v118(constB17))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25033, 21642])).
% 218.60/141.17 tff(25035,plain,
% 218.60/141.17 (~v109(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23956, 25034])).
% 218.60/141.17 tff(25036,plain,
% 218.60/141.17 ((~(v109(constB17) <=> (v110(constB17) | v117(constB17)))) | (~(v110(constB17) | v117(constB17)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23954, 25035])).
% 218.60/141.17 tff(25037,plain,
% 218.60/141.17 (~(v110(constB17) | v117(constB17))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25036, 21644])).
% 218.60/141.17 tff(25038,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24933, 25037, 25022])).
% 218.60/141.17 tff(25039,plain,(v94(constB18) | v84(constB18, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25040,plain,
% 218.60/141.17 (v94(constB18)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25039, 21530])).
% 218.60/141.17 tff(25041,plain,
% 218.60/141.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24023, 25040])).
% 218.60/141.17 tff(25042,plain,
% 218.60/141.17 (v84(constB18, 2) <=> v123(constB18, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24032, 25041])).
% 218.60/141.17 tff(25043,plain,
% 218.60/141.17 (~v123(constB18, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24035, 25042])).
% 218.60/141.17 tff(25044,plain,
% 218.60/141.17 ((~(v123(constB18, 2) <=> v121(constB17, 2))) | (~v121(constB17, 2))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24037, 25043])).
% 218.60/141.17 tff(25045,plain,
% 218.60/141.17 (~v121(constB17, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25044, 23950])).
% 218.60/141.17 tff(25046,plain,
% 218.60/141.17 ((~(v121(constB17, 2) <=> v124(constB17, 2))) | (~v124(constB17, 2))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24062, 25045])).
% 218.60/141.17 tff(25047,plain,
% 218.60/141.17 (~v124(constB17, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25046, 23934])).
% 218.60/141.17 tff(25048,plain,
% 218.60/141.17 ((~(v124(constB17, 2) <=> b100(2))) | v124(constB17, 2) | (~b100(2))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25049,plain,
% 218.60/141.17 ((~(v124(constB17, 2) <=> b100(2))) | v124(constB17, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25048, 2250])).
% 218.60/141.17 tff(25050,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25049, 25047, 24865])).
% 218.60/141.17 tff(25051,plain,(v84(constB18, 2) | v114(constB15) | v84(constB15, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25052,plain,
% 218.60/141.17 (v84(constB18, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25051, 23511, 23503])).
% 218.60/141.17 tff(25053,plain,
% 218.60/141.17 (v84(constB19, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[21526, 25052])).
% 218.60/141.17 tff(25054,plain,
% 218.60/141.17 (v84(constB16, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24642, 23504, 23503])).
% 218.60/141.17 tff(25055,plain,
% 218.60/141.17 (v84(constB17, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22272, 25054])).
% 218.60/141.17 tff(25056,plain,
% 218.60/141.17 (v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22288, 25055])).
% 218.60/141.17 tff(25057,plain,
% 218.60/141.17 (~v114(constB15)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23510, 23519])).
% 218.60/141.17 tff(25058,assumption,(v84(constB18, 1)), introduced(assumption)).
% 218.60/141.17 tff(25059,plain,
% 218.60/141.17 (~v84(constB16, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24785, 23503, 23519, 24697])).
% 218.60/141.17 tff(25060,plain,
% 218.60/141.17 (~v84(constB17, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24787, 25059])).
% 218.60/141.17 tff(25061,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 1) <=> v124(constB17, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 1) <=> v124(constB17, 1)))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25062,plain,
% 218.60/141.17 (($false | $false | (v121(constB17, 1) <=> v124(constB17, 1))) <=> (v121(constB17, 1) <=> v124(constB17, 1))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25063,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB17, 1) <=> v124(constB17, 1))) <=> ($false | $false | (v121(constB17, 1) <=> v124(constB17, 1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.17 tff(25064,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB17, 1) <=> v124(constB17, 1))) <=> (v121(constB17, 1) <=> v124(constB17, 1))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25063, 25062])).
% 218.60/141.17 tff(25065,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB17, 1) <=> v124(constB17, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 1) <=> v124(constB17, 1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[25064])).
% 218.60/141.17 tff(25066,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB17, 1) <=> v124(constB17, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 1) <=> v124(constB17, 1)))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25065, 25061])).
% 218.60/141.17 tff(25067,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB17, 1) <=> v124(constB17, 1)))),
% 218.60/141.17 inference(quant_inst,[status(thm)],[])).
% 218.60/141.17 tff(25068,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB17, B) <=> v124(constB17, B)))) | (v121(constB17, 1) <=> v124(constB17, 1))),
% 218.60/141.17 inference(modus_ponens,[status(thm)],[25067, 25066])).
% 218.60/141.17 tff(25069,plain,
% 218.60/141.17 (v121(constB17, 1) <=> v124(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25068, 23925])).
% 218.60/141.17 tff(25070,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 1) <=> v121(constB17, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 1) <=> v121(constB17, 1)))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25071,plain,
% 218.60/141.17 (($false | $false | (v123(constB18, 1) <=> v121(constB17, 1))) <=> (v123(constB18, 1) <=> v121(constB17, 1))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25072,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB18, 1) <=> v121(constB17, 1))) <=> ($false | $false | (v123(constB18, 1) <=> v121(constB17, 1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.17 tff(25073,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB18, 1) <=> v121(constB17, 1))) <=> (v123(constB18, 1) <=> v121(constB17, 1))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25072, 25071])).
% 218.60/141.17 tff(25074,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB18, 1) <=> v121(constB17, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 1) <=> v121(constB17, 1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[25073])).
% 218.60/141.17 tff(25075,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB18, 1) <=> v121(constB17, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 1) <=> v121(constB17, 1)))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25074, 25070])).
% 218.60/141.17 tff(25076,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB18, 1) <=> v121(constB17, 1)))),
% 218.60/141.17 inference(quant_inst,[status(thm)],[])).
% 218.60/141.17 tff(25077,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB18, B) <=> v121(constB17, B)))) | (v123(constB18, 1) <=> v121(constB17, 1))),
% 218.60/141.17 inference(modus_ponens,[status(thm)],[25076, 25075])).
% 218.60/141.17 tff(25078,plain,
% 218.60/141.17 (v123(constB18, 1) <=> v121(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25077, 23941])).
% 218.60/141.17 tff(25079,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 1) <=> b101(1)))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25080,plain,
% 218.60/141.17 (($false | $false | (v124(constB17, 1) <=> b101(1))) <=> (v124(constB17, 1) <=> b101(1))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25081,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b101(1))) <=> ($false | $false | (v124(constB17, 1) <=> b101(1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.17 tff(25082,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b101(1))) <=> (v124(constB17, 1) <=> b101(1))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25081, 25080])).
% 218.60/141.17 tff(25083,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 1) <=> b101(1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[25082])).
% 218.60/141.17 tff(25084,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 1) <=> b101(1)))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25083, 25079])).
% 218.60/141.17 tff(25085,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b101(1)))),
% 218.60/141.17 inference(quant_inst,[status(thm)],[])).
% 218.60/141.17 tff(25086,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 1) <=> b101(1))),
% 218.60/141.17 inference(modus_ponens,[status(thm)],[25085, 25084])).
% 218.60/141.17 tff(25087,plain,
% 218.60/141.17 (v124(constB17, 1) <=> b101(1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25086, 24049])).
% 218.60/141.17 tff(25088,plain,
% 218.60/141.17 ((~(v124(constB17, 1) <=> b101(1))) | (~v124(constB17, 1)) | b101(1)),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25089,plain,
% 218.60/141.17 ((~(v124(constB17, 1) <=> b101(1))) | (~v124(constB17, 1))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25088, 2330])).
% 218.60/141.17 tff(25090,plain,
% 218.60/141.17 (~v124(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25089, 25087])).
% 218.60/141.17 tff(25091,plain,
% 218.60/141.17 ((~(v121(constB17, 1) <=> v124(constB17, 1))) | (~v121(constB17, 1)) | v124(constB17, 1)),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25092,plain,
% 218.60/141.17 ((~(v121(constB17, 1) <=> v124(constB17, 1))) | (~v121(constB17, 1))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25091, 25090])).
% 218.60/141.17 tff(25093,plain,
% 218.60/141.17 (~v121(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25092, 25069])).
% 218.60/141.17 tff(25094,plain,
% 218.60/141.17 ((~(v109(constB17) <=> (v110(constB17) | v117(constB17)))) | v109(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23954, 23953])).
% 218.60/141.17 tff(25095,plain,
% 218.60/141.17 (v109(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25094, 21644])).
% 218.60/141.17 tff(25096,plain,
% 218.60/141.17 (v109(constB17) | v118(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23956, 25095])).
% 218.60/141.17 tff(25097,plain,
% 218.60/141.17 (v108(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23958, 25096, 21642])).
% 218.60/141.17 tff(25098,plain,
% 218.60/141.17 (v108(constB17) | v119(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23960, 25097])).
% 218.60/141.17 tff(25099,plain,
% 218.60/141.17 (v107(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23962, 25098, 21640])).
% 218.60/141.17 tff(25100,plain,
% 218.60/141.17 (~((~v107(constB17)) | (~v120(constB17)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23970, 25099])).
% 218.60/141.17 tff(25101,plain,
% 218.60/141.17 (v106(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23973, 25100])).
% 218.60/141.17 tff(25102,plain,
% 218.60/141.17 (v105(constB17) | v106(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23975, 25101])).
% 218.60/141.17 tff(25103,plain,
% 218.60/141.17 (v102(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23978, 25102])).
% 218.60/141.17 tff(25104,plain,
% 218.60/141.17 (v104(constB18)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23981, 25103])).
% 218.60/141.17 tff(25105,plain,
% 218.60/141.17 (~((~v95(constB18)) | (~v104(constB18)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24012, 25104])).
% 218.60/141.17 tff(25106,plain,
% 218.60/141.17 (v94(constB18)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24015, 25105])).
% 218.60/141.17 tff(25107,plain,
% 218.60/141.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24023, 25106])).
% 218.60/141.17 tff(25108,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 1) <=> v123(constB18, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 1) <=> v123(constB18, 1)))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25109,plain,
% 218.60/141.17 (($false | $false | (v84(constB18, 1) <=> v123(constB18, 1))) <=> (v84(constB18, 1) <=> v123(constB18, 1))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25110,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB18, 1) <=> v123(constB18, 1))) <=> ($false | $false | (v84(constB18, 1) <=> v123(constB18, 1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.17 tff(25111,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB18, 1) <=> v123(constB18, 1))) <=> (v84(constB18, 1) <=> v123(constB18, 1))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25110, 25109])).
% 218.60/141.17 tff(25112,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB18, 1) <=> v123(constB18, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 1) <=> v123(constB18, 1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[25111])).
% 218.60/141.17 tff(25113,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB18, 1) <=> v123(constB18, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 1) <=> v123(constB18, 1)))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25112, 25108])).
% 218.60/141.17 tff(25114,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB18, 1) <=> v123(constB18, 1)))),
% 218.60/141.17 inference(quant_inst,[status(thm)],[])).
% 218.60/141.17 tff(25115,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | (v84(constB18, 1) <=> v123(constB18, 1))),
% 218.60/141.17 inference(modus_ponens,[status(thm)],[25114, 25113])).
% 218.60/141.17 tff(25116,plain,
% 218.60/141.17 (v84(constB18, 1) <=> v123(constB18, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25115, 25107])).
% 218.60/141.17 tff(25117,plain,
% 218.60/141.17 ((~(v84(constB18, 1) <=> v123(constB18, 1))) | (~v84(constB18, 1)) | v123(constB18, 1)),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25118,plain,
% 218.60/141.17 ((~(v84(constB18, 1) <=> v123(constB18, 1))) | v123(constB18, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25117, 25058])).
% 218.60/141.17 tff(25119,plain,
% 218.60/141.17 (v123(constB18, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25118, 25116])).
% 218.60/141.17 tff(25120,plain,
% 218.60/141.17 ((~(v123(constB18, 1) <=> v121(constB17, 1))) | (~v123(constB18, 1)) | v121(constB17, 1)),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25121,plain,
% 218.60/141.17 ((~(v123(constB18, 1) <=> v121(constB17, 1))) | v121(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25120, 25119])).
% 218.60/141.17 tff(25122,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25121, 25093, 25078])).
% 218.60/141.17 tff(25123,plain,((~v117(constB17)) | (~v84(constB18, 1))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25124,plain,
% 218.60/141.17 (~v117(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25123, 25058])).
% 218.60/141.17 tff(25125,plain,
% 218.60/141.17 (v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24068, 25124])).
% 218.60/141.17 tff(25126,plain,
% 218.60/141.17 (v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24986, 25125])).
% 218.60/141.17 tff(25127,plain,
% 218.60/141.17 (v111(constB17) | v116(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25019, 24999, 25126, 24998])).
% 218.60/141.17 tff(25128,plain,
% 218.60/141.17 (v110(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24931, 25127, 21646])).
% 218.60/141.17 tff(25129,plain,
% 218.60/141.17 (v110(constB17) | v117(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24933, 25128])).
% 218.60/141.17 tff(25130,plain,
% 218.60/141.17 (v109(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23954, 25129, 21644])).
% 218.60/141.17 tff(25131,plain,
% 218.60/141.17 (v109(constB17) | v118(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23956, 25130])).
% 218.60/141.17 tff(25132,plain,
% 218.60/141.17 (v108(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23958, 25131, 21642])).
% 218.60/141.17 tff(25133,plain,
% 218.60/141.17 (v108(constB17) | v119(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23960, 25132])).
% 218.60/141.17 tff(25134,plain,
% 218.60/141.17 (v107(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23962, 25133, 21640])).
% 218.60/141.17 tff(25135,plain,
% 218.60/141.17 (~((~v107(constB17)) | (~v120(constB17)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23970, 25134])).
% 218.60/141.17 tff(25136,plain,
% 218.60/141.17 (v106(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23973, 25135])).
% 218.60/141.17 tff(25137,plain,
% 218.60/141.17 (v105(constB17) | v106(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23975, 25136])).
% 218.60/141.17 tff(25138,plain,
% 218.60/141.17 (v102(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23978, 25137])).
% 218.60/141.17 tff(25139,plain,
% 218.60/141.17 (v104(constB18)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23981, 25138])).
% 218.60/141.17 tff(25140,plain,
% 218.60/141.17 (~((~v95(constB18)) | (~v104(constB18)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24012, 25139])).
% 218.60/141.17 tff(25141,plain,
% 218.60/141.17 (v94(constB18)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24015, 25140])).
% 218.60/141.17 tff(25142,plain,
% 218.60/141.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24023, 25141])).
% 218.60/141.17 tff(25143,plain,
% 218.60/141.17 (v84(constB18, 1) <=> v123(constB18, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25115, 25142])).
% 218.60/141.17 tff(25144,plain,
% 218.60/141.17 (v123(constB18, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25118, 25143])).
% 218.60/141.17 tff(25145,plain,
% 218.60/141.17 ((~(v123(constB18, 1) <=> v121(constB17, 1))) | v121(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25120, 25144])).
% 218.60/141.17 tff(25146,plain,
% 218.60/141.17 (v121(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25145, 25078])).
% 218.60/141.17 tff(25147,plain,
% 218.60/141.17 (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25013, 24999, 25126, 24998, 25003])).
% 218.60/141.17 tff(25148,plain,
% 218.60/141.17 (v116(constB17)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24847, 25147, 22313])).
% 218.60/141.17 tff(25149,plain,
% 218.60/141.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24855, 25148])).
% 218.60/141.17 tff(25150,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | (v124(constB17, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | (v124(constB17, 1) <=> b100(1)))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25151,plain,
% 218.60/141.17 (($false | $false | (v124(constB17, 1) <=> b100(1))) <=> (v124(constB17, 1) <=> b100(1))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25152,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b100(1))) <=> ($false | $false | (v124(constB17, 1) <=> b100(1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.17 tff(25153,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b100(1))) <=> (v124(constB17, 1) <=> b100(1))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25152, 25151])).
% 218.60/141.17 tff(25154,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | (v124(constB17, 1) <=> b100(1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[25153])).
% 218.60/141.17 tff(25155,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | (v124(constB17, 1) <=> b100(1)))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25154, 25150])).
% 218.60/141.17 tff(25156,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b100(1)))),
% 218.60/141.17 inference(quant_inst,[status(thm)],[])).
% 218.60/141.17 tff(25157,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))) | (v124(constB17, 1) <=> b100(1))),
% 218.60/141.17 inference(modus_ponens,[status(thm)],[25156, 25155])).
% 218.60/141.17 tff(25158,plain,
% 218.60/141.17 (v124(constB17, 1) <=> b100(1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25157, 25149])).
% 218.60/141.17 tff(25159,plain,
% 218.60/141.17 ((~(v124(constB17, 1) <=> b100(1))) | (~v124(constB17, 1)) | b100(1)),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25160,plain,
% 218.60/141.17 ((~(v124(constB17, 1) <=> b100(1))) | (~v124(constB17, 1))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25159, 2274])).
% 218.60/141.17 tff(25161,plain,
% 218.60/141.17 (~v124(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25160, 25158])).
% 218.60/141.17 tff(25162,plain,
% 218.60/141.17 ((~(v121(constB17, 1) <=> v124(constB17, 1))) | (~v121(constB17, 1))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25091, 25161])).
% 218.60/141.17 tff(25163,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25162, 25146, 25069])).
% 218.60/141.17 tff(25164,plain,(v84(constB17, 2) | (~v84(constB18, 1)) | (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))) | (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25165,plain,
% 218.60/141.17 (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25164, 25060, 24998, 25058])).
% 218.60/141.17 tff(25166,plain,
% 218.60/141.17 (~v84(constB17, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22239, 25165])).
% 218.60/141.17 tff(25167,plain,
% 218.60/141.17 (~v84(constB16, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22237, 25166])).
% 218.60/141.17 tff(25168,plain,
% 218.60/141.17 ((~(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))) | (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23513, 24744])).
% 218.60/141.17 tff(25169,plain,
% 218.60/141.17 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25168, 22036])).
% 218.60/141.17 tff(25170,plain,
% 218.60/141.17 (~v84(constB15, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24436, 22351])).
% 218.60/141.17 tff(25171,plain,
% 218.60/141.17 ((~(v84(constB16, 0) <=> v84(constB15, 0))) | (~v84(constB16, 0)) | v84(constB15, 0)),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25172,plain,
% 218.60/141.17 ((~(v84(constB16, 0) <=> v84(constB15, 0))) | v84(constB15, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25171, 24697])).
% 218.60/141.17 tff(25173,plain,
% 218.60/141.17 (v84(constB15, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25172, 22362])).
% 218.60/141.17 tff(25174,plain,
% 218.60/141.17 ((~(v84(constB16, 1) <=> v84(constB15, 1))) | (~v84(constB15, 1))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22188, 24203])).
% 218.60/141.17 tff(25175,plain,
% 218.60/141.17 (~v84(constB15, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25174, 22370])).
% 218.60/141.17 tff(25176,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23520, 25175, 25173, 25170, 25169])).
% 218.60/141.17 tff(25177,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | v84(constB16, 2) | v84(constB16, 1) | (~v84(constB16, 0))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25178,plain,
% 218.60/141.17 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25177, 25167, 25059, 24697])).
% 218.60/141.17 tff(25179,plain,
% 218.60/141.17 (v94(constB16)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22177, 25178])).
% 218.60/141.17 tff(25180,plain,
% 218.60/141.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24184, 25179])).
% 218.60/141.17 tff(25181,plain,
% 218.60/141.17 (v84(constB16, 1) <=> v123(constB16, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24808, 25180])).
% 218.60/141.17 tff(25182,plain,
% 218.60/141.17 (~v123(constB16, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24327, 25181, 25167])).
% 218.60/141.17 tff(25183,plain,
% 218.60/141.17 (~v121(constB15, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24841, 25182])).
% 218.60/141.17 tff(25184,plain,
% 218.60/141.17 (~v124(constB15, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24839, 25183])).
% 218.60/141.17 tff(25185,plain,
% 218.60/141.17 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24834, 25184])).
% 218.60/141.17 tff(25186,plain,
% 218.60/141.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b100(B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24782, 25185, 25057, 23503])).
% 218.60/141.17 tff(25187,plain,
% 218.60/141.17 (~v124(constB15, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24764, 25186])).
% 218.60/141.17 tff(25188,plain,
% 218.60/141.17 (~v121(constB15, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24711, 25187, 24812])).
% 218.60/141.17 tff(25189,plain,
% 218.60/141.17 (~v123(constB16, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24740, 25188, 24815])).
% 218.60/141.17 tff(25190,plain,
% 218.60/141.17 (~(v84(constB16, 0) <=> v123(constB16, 0))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24737, 24697, 25189])).
% 218.60/141.17 tff(25191,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[24276, 25180, 25190])).
% 218.60/141.17 tff(25192,plain,(v84(constB15, 2) | (~v84(constB16, 0)) | (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))) | (~v84(constB18, 1)) | (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25193,plain,
% 218.60/141.17 (~v84(constB18, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25192, 25056, 23503, 25054, 23506])).
% 218.60/141.17 tff(25194,assumption,(~(v84(constB19, 1) <=> v84(constB18, 1))), introduced(assumption)).
% 218.60/141.17 tff(25195,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 1) <=> v84(constB18, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 1) <=> v84(constB18, 1)))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25196,plain,
% 218.60/141.17 (($false | $false | (v84(constB19, 1) <=> v84(constB18, 1))) <=> (v84(constB19, 1) <=> v84(constB18, 1))),
% 218.60/141.17 inference(rewrite,[status(thm)],[])).
% 218.60/141.17 tff(25197,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB19, 1) <=> v84(constB18, 1))) <=> ($false | $false | (v84(constB19, 1) <=> v84(constB18, 1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.17 tff(25198,plain,
% 218.60/141.17 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB19, 1) <=> v84(constB18, 1))) <=> (v84(constB19, 1) <=> v84(constB18, 1))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25197, 25196])).
% 218.60/141.17 tff(25199,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB19, 1) <=> v84(constB18, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 1) <=> v84(constB18, 1)))),
% 218.60/141.17 inference(monotonicity,[status(thm)],[25198])).
% 218.60/141.17 tff(25200,plain,
% 218.60/141.17 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB19, 1) <=> v84(constB18, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 1) <=> v84(constB18, 1)))),
% 218.60/141.17 inference(transitivity,[status(thm)],[25199, 25195])).
% 218.60/141.17 tff(25201,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB19, 1) <=> v84(constB18, 1)))),
% 218.60/141.17 inference(quant_inst,[status(thm)],[])).
% 218.60/141.17 tff(25202,plain,
% 218.60/141.17 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 1) <=> v84(constB18, 1))),
% 218.60/141.17 inference(modus_ponens,[status(thm)],[25201, 25200])).
% 218.60/141.17 tff(25203,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25202, 21514, 25194])).
% 218.60/141.17 tff(25204,plain,(v84(constB19, 1) <=> v84(constB18, 1)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25205,plain,
% 218.60/141.17 ((~(v84(constB19, 1) <=> v84(constB18, 1))) | (~v84(constB19, 1)) | v84(constB18, 1)),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25206,plain,
% 218.60/141.17 ((~v84(constB19, 1)) | v84(constB18, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25205, 25204])).
% 218.60/141.17 tff(25207,plain,
% 218.60/141.17 (~v84(constB19, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25206, 25193])).
% 218.60/141.17 tff(25208,plain,
% 218.60/141.17 ((~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))) | v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25209,plain,
% 218.60/141.17 (v84(constB19, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25208, 25207, 22697, 25053])).
% 218.60/141.17 tff(25210,plain,
% 218.60/141.17 ((~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2)))) | v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25211,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25210, 25209, 25207, 22698, 25053])).
% 218.60/141.17 tff(25212,plain,(v84(constB15, 0) | (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2)))) | (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))) | v84(constB15, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25213,plain,
% 218.60/141.17 (v84(constB15, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25212, 23502, 22698, 22697])).
% 218.60/141.17 tff(25214,plain,
% 218.60/141.17 (v109(constB11) | v118(constB11)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[21720, 20599, 20601])).
% 218.60/141.17 tff(25215,plain,
% 218.60/141.17 (v108(constB11)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20159, 25214])).
% 218.60/141.17 tff(25216,plain,
% 218.60/141.17 (v108(constB11) | v119(constB11)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20152, 25215])).
% 218.60/141.17 tff(25217,plain,
% 218.60/141.17 (v107(constB11)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20150, 25216])).
% 218.60/141.17 tff(25218,plain,
% 218.60/141.17 (~((~v107(constB11)) | (~v120(constB11)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20143, 25217])).
% 218.60/141.17 tff(25219,plain,
% 218.60/141.17 (v106(constB11)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20135, 25218])).
% 218.60/141.17 tff(25220,plain,
% 218.60/141.17 (v105(constB11) | v106(constB11)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20130, 25219])).
% 218.60/141.17 tff(25221,plain,
% 218.60/141.17 (v102(constB11)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20128, 25220])).
% 218.60/141.17 tff(25222,plain,
% 218.60/141.17 (v104(constB12)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20123, 25221])).
% 218.60/141.17 tff(25223,plain,
% 218.60/141.17 (~((~v95(constB12)) | (~v104(constB12)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20115, 25222])).
% 218.60/141.17 tff(25224,plain,
% 218.60/141.17 (v94(constB12)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20081, 25223])).
% 218.60/141.17 tff(25225,plain,
% 218.60/141.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20232, 25224])).
% 218.60/141.17 tff(25226,plain,
% 218.60/141.17 (v84(constB12, 2) <=> v123(constB12, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20648, 25225])).
% 218.60/141.17 tff(25227,plain,
% 218.60/141.17 (~v123(constB12, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23305, 25226])).
% 218.60/141.17 tff(25228,plain,
% 218.60/141.17 (~v121(constB11, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23307, 25227, 23235])).
% 218.60/141.17 tff(25229,plain,
% 218.60/141.17 (~v124(constB11, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23310, 25228, 23230])).
% 218.60/141.17 tff(25230,plain,
% 218.60/141.17 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23326, 25229])).
% 218.60/141.17 tff(25231,plain,
% 218.60/141.17 (v84(constB12, 1) <=> v123(constB12, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20241, 25225])).
% 218.60/141.17 tff(25232,plain,
% 218.60/141.17 (~v123(constB12, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20244, 25231])).
% 218.60/141.17 tff(25233,plain,
% 218.60/141.17 (~v121(constB11, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23178, 25232])).
% 218.60/141.17 tff(25234,plain,
% 218.60/141.17 (~v124(constB11, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20269, 25233])).
% 218.60/141.17 tff(25235,plain,
% 218.60/141.17 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b011(B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20546, 25234])).
% 218.60/141.17 tff(25236,plain,
% 218.60/141.17 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23340, 25234])).
% 218.60/141.17 tff(25237,plain,
% 218.60/141.17 (~v114(constB11)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23351, 25236])).
% 218.60/141.17 tff(25238,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23372, 25237, 25235, 20601, 20599, 25230, 20272])).
% 218.60/141.17 tff(25239,plain,(v84(constB12, 1) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v117(constB11) | v84(constB12, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25240,plain,
% 218.60/141.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25239, 23416, 20599, 23245])).
% 218.60/141.17 tff(25241,plain,
% 218.60/141.17 (v94(constB12)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20396, 23416])).
% 218.60/141.17 tff(25242,plain,
% 218.60/141.17 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20232, 25241])).
% 218.60/141.17 tff(25243,plain,
% 218.60/141.17 (~v84(constB14, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[23412, 25242, 25240])).
% 218.60/141.17 tff(25244,plain,
% 218.60/141.17 ((~(v84(constB15, 2) <=> v84(constB14, 2))) | (~v84(constB15, 2)) | v84(constB14, 2)),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25245,plain,
% 218.60/141.17 ((~v84(constB15, 2)) | v84(constB14, 2)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25244, 22015])).
% 218.60/141.17 tff(25246,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25245, 25243, 25213])).
% 218.60/141.17 tff(25247,plain,(v84(constB13, 1) | (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2)))) | (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))) | v117(constB11) | v84(constB13, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25248,plain,
% 218.60/141.17 (v84(constB13, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25247, 23415, 21328, 22698, 22697])).
% 218.60/141.17 tff(25249,plain,
% 218.60/141.17 (v84(constB12, 1)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[22849, 25248])).
% 218.60/141.17 tff(25250,plain,
% 218.60/141.17 ($false),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[20433, 25249, 22696, 20431])).
% 218.60/141.17 tff(25251,plain,(v84(constB11, 0) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2)))) | (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))) | (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))) | (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))) | (~v84(constB9, 2))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.17 tff(25252,plain,
% 218.60/141.17 (v84(constB11, 0)),
% 218.60/141.17 inference(unit_resolution,[status(thm)],[25251, 22593, 21479, 21477, 21474, 21472, 20936])).
% 218.60/141.17 tff(25253,plain,
% 218.60/141.17 ((v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))) | (~v84(constB11, 0))),
% 218.60/141.17 inference(tautology,[status(thm)],[])).
% 218.60/141.17 tff(25254,plain,
% 218.60/141.17 (v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25253, 25252])).
% 218.60/141.18 tff(25255,plain,
% 218.60/141.18 (~v115(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[22626, 25254])).
% 218.60/141.18 tff(25256,plain,
% 218.60/141.18 ((~(v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))))) | (~v117(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[22647, 21472])).
% 218.60/141.18 tff(25257,plain,
% 218.60/141.18 (~v117(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25256, 21212])).
% 218.60/141.18 tff(25258,plain,
% 218.60/141.18 ((~(v113(constB9) | v114(constB9))) | v113(constB9) | v114(constB9)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25259,plain,
% 218.60/141.18 (~(v113(constB9) | v114(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25258, 22655, 21076])).
% 218.60/141.18 tff(25260,plain,
% 218.60/141.18 ((~(v112(constB9) <=> (v113(constB9) | v114(constB9)))) | (~v112(constB9)) | (v113(constB9) | v114(constB9))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25261,plain,
% 218.60/141.18 ((~(v112(constB9) <=> (v113(constB9) | v114(constB9)))) | (~v112(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25260, 25259])).
% 218.60/141.18 tff(25262,plain,
% 218.60/141.18 (~v112(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25261, 20747])).
% 218.60/141.18 tff(25263,plain,
% 218.60/141.18 ((~(v112(constB9) | v115(constB9))) | v112(constB9) | v115(constB9)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25264,plain,
% 218.60/141.18 ((~(v112(constB9) | v115(constB9))) | v112(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25263, 20944])).
% 218.60/141.18 tff(25265,plain,
% 218.60/141.18 (~(v112(constB9) | v115(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25264, 25262])).
% 218.60/141.18 tff(25266,plain,
% 218.60/141.18 ((~(v111(constB9) <=> (v112(constB9) | v115(constB9)))) | (~v111(constB9)) | (v112(constB9) | v115(constB9))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25267,plain,
% 218.60/141.18 (~v111(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25266, 25265, 20722])).
% 218.60/141.18 tff(25268,plain,
% 218.60/141.18 ((~(v111(constB9) | v116(constB9))) | v111(constB9) | v116(constB9)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25269,plain,
% 218.60/141.18 (~(v111(constB9) | v116(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25268, 25267, 21067])).
% 218.60/141.18 tff(25270,assumption,(~(v110(constB9) <=> (v111(constB9) | v116(constB9)))), introduced(assumption)).
% 218.60/141.18 tff(25271,plain,
% 218.60/141.18 ($false),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20697, 265, 25270])).
% 218.60/141.18 tff(25272,plain,(v110(constB9) <=> (v111(constB9) | v116(constB9))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.18 tff(25273,plain,
% 218.60/141.18 ((~(v110(constB9) <=> (v111(constB9) | v116(constB9)))) | (~v110(constB9)) | (v111(constB9) | v116(constB9))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25274,plain,
% 218.60/141.18 ((~v110(constB9)) | (v111(constB9) | v116(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25273, 25272])).
% 218.60/141.18 tff(25275,plain,
% 218.60/141.18 (~v110(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25274, 25269])).
% 218.60/141.18 tff(25276,plain,
% 218.60/141.18 ((~(v110(constB9) | v117(constB9))) | v110(constB9) | v117(constB9)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25277,plain,
% 218.60/141.18 (~(v110(constB9) | v117(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25276, 25275, 25257])).
% 218.60/141.18 tff(25278,plain,
% 218.60/141.18 ((~(v109(constB9) <=> (v110(constB9) | v117(constB9)))) | (~v109(constB9)) | (v110(constB9) | v117(constB9))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25279,plain,
% 218.60/141.18 ((~v109(constB9)) | (v110(constB9) | v117(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25278, 21026])).
% 218.60/141.18 tff(25280,plain,
% 218.60/141.18 (~v109(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25279, 25277])).
% 218.60/141.18 tff(25281,plain,
% 218.60/141.18 ((~(v84(constB11, 0) <=> v84(constB10, 0))) | v84(constB10, 0)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21317, 25252])).
% 218.60/141.18 tff(25282,plain,
% 218.60/141.18 (v84(constB10, 0)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25281, 20915])).
% 218.60/141.18 tff(25283,assumption,(~v123(constB10, 0)), introduced(assumption)).
% 218.60/141.18 tff(25284,plain,
% 218.60/141.18 (~(v84(constB10, 0) <=> v123(constB10, 0))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21342, 21320, 25283])).
% 218.60/141.18 tff(25285,plain,
% 218.60/141.18 (~v121(constB9, 0)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21017, 25283])).
% 218.60/141.18 tff(25286,plain,
% 218.60/141.18 (~v124(constB9, 0)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20996, 25285])).
% 218.60/141.18 tff(25287,plain,
% 218.60/141.18 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21199, 25286])).
% 218.60/141.18 tff(25288,assumption,(~v113(constB9)), introduced(assumption)).
% 218.60/141.18 tff(25289,plain,
% 218.60/141.18 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B))) | v118(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21100, 1807, 21090, 20947, 25288, 21078, 21077])).
% 218.60/141.18 tff(25290,plain,
% 218.60/141.18 (v118(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25289, 25287])).
% 218.60/141.18 tff(25291,plain,
% 218.60/141.18 (v109(constB9) | v118(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21157, 25290])).
% 218.60/141.18 tff(25292,plain,
% 218.60/141.18 (v108(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20857, 25291, 20783])).
% 218.60/141.18 tff(25293,plain,
% 218.60/141.18 (v108(constB9) | v119(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20855, 25292])).
% 218.60/141.18 tff(25294,plain,
% 218.60/141.18 (v107(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20852, 25293, 20784])).
% 218.60/141.18 tff(25295,plain,
% 218.60/141.18 (~((~v107(constB9)) | (~v120(constB9)))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20850, 25294])).
% 218.60/141.18 tff(25296,plain,
% 218.60/141.18 (v106(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20835, 25295])).
% 218.60/141.18 tff(25297,plain,
% 218.60/141.18 (v105(constB9) | v106(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20830, 25296])).
% 218.60/141.18 tff(25298,plain,
% 218.60/141.18 (v102(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20828, 25297])).
% 218.60/141.18 tff(25299,plain,
% 218.60/141.18 (v104(constB10)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20823, 25298])).
% 218.60/141.18 tff(25300,plain,
% 218.60/141.18 (~((~v95(constB10)) | (~v104(constB10)))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20820, 25299])).
% 218.60/141.18 tff(25301,plain,
% 218.60/141.18 (v94(constB10)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20786, 25300])).
% 218.60/141.18 tff(25302,plain,
% 218.60/141.18 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21047, 25301])).
% 218.60/141.18 tff(25303,plain,
% 218.60/141.18 ($false),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21056, 25302, 25284])).
% 218.60/141.18 tff(25304,plain,(v123(constB10, 0) | (~v84(constB10, 0)) | v116(constB9) | v115(constB9) | v113(constB9) | v117(constB9) | v114(constB9)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.18 tff(25305,plain,
% 218.60/141.18 (v123(constB10, 0)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25304, 25282, 25257, 20944, 22655, 21076, 21067])).
% 218.60/141.18 tff(25306,plain,
% 218.60/141.18 ((~v123(constB10, 0)) | v121(constB9, 0)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21345, 21015])).
% 218.60/141.18 tff(25307,plain,
% 218.60/141.18 (v121(constB9, 0)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25306, 25305])).
% 218.60/141.18 tff(25308,plain,
% 218.60/141.18 ((~v121(constB9, 0)) | v124(constB9, 0)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21348, 20994])).
% 218.60/141.18 tff(25309,plain,
% 218.60/141.18 (v124(constB9, 0)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25308, 25307])).
% 218.60/141.18 tff(25310,plain,
% 218.60/141.18 (~(v124(constB9, 0) <=> b110(0))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21351, 3186, 21397])).
% 218.60/141.18 tff(25311,plain,
% 218.60/141.18 ($false),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21461, 21112, 25310])).
% 218.60/141.18 tff(25312,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))) | (~v124(constB9, 0))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.18 tff(25313,plain,
% 218.60/141.18 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b110(B)))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25312, 25309])).
% 218.60/141.18 tff(25314,plain,
% 218.60/141.18 (~v118(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[22661, 25313])).
% 218.60/141.18 tff(25315,plain,
% 218.60/141.18 ((~(v109(constB9) | v118(constB9))) | v109(constB9) | v118(constB9)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25316,plain,
% 218.60/141.18 (~(v109(constB9) | v118(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25315, 25314, 25280])).
% 218.60/141.18 tff(25317,plain,
% 218.60/141.18 ((~(v108(constB9) <=> (v109(constB9) | v118(constB9)))) | (~v108(constB9)) | (v109(constB9) | v118(constB9))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25318,plain,
% 218.60/141.18 (~v108(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25317, 25316, 20783])).
% 218.60/141.18 tff(25319,plain,
% 218.60/141.18 ((~(v119(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))))) | (~v119(constB9)) | (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2))))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25320,plain,
% 218.60/141.18 ((~(v119(constB9) <=> (~((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2)))))) | (~v119(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25319, 21474])).
% 218.60/141.18 tff(25321,plain,
% 218.60/141.18 (~v119(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25320, 21274])).
% 218.60/141.18 tff(25322,plain,
% 218.60/141.18 ((~(v108(constB9) | v119(constB9))) | v108(constB9) | v119(constB9)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25323,plain,
% 218.60/141.18 ((~(v108(constB9) | v119(constB9))) | v108(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25322, 25321])).
% 218.60/141.18 tff(25324,plain,
% 218.60/141.18 (~(v108(constB9) | v119(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25323, 25318])).
% 218.60/141.18 tff(25325,plain,
% 218.60/141.18 ((~(v107(constB9) <=> (v108(constB9) | v119(constB9)))) | (~v107(constB9)) | (v108(constB9) | v119(constB9))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25326,plain,
% 218.60/141.18 (~v107(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25325, 25324, 20784])).
% 218.60/141.18 tff(25327,plain,
% 218.60/141.18 (((~v107(constB9)) | (~v120(constB9))) | v107(constB9)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25328,plain,
% 218.60/141.18 ((~v107(constB9)) | (~v120(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25327, 25326])).
% 218.60/141.18 tff(25329,plain,
% 218.60/141.18 ((~(v106(constB9) <=> (~((~v107(constB9)) | (~v120(constB9)))))) | (~v106(constB9)) | (~((~v107(constB9)) | (~v120(constB9))))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25330,plain,
% 218.60/141.18 ((~v106(constB9)) | (~((~v107(constB9)) | (~v120(constB9))))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25329, 20833])).
% 218.60/141.18 tff(25331,plain,
% 218.60/141.18 (~v106(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25330, 25328])).
% 218.60/141.18 tff(25332,plain,
% 218.60/141.18 ((~(v105(constB9) | v106(constB9))) | v105(constB9) | v106(constB9)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25333,plain,
% 218.60/141.18 ((~(v105(constB9) | v106(constB9))) | v106(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25332, 20845])).
% 218.60/141.18 tff(25334,plain,
% 218.60/141.18 (~(v105(constB9) | v106(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25333, 25331])).
% 218.60/141.18 tff(25335,plain,
% 218.60/141.18 ((~(v102(constB9) <=> (v105(constB9) | v106(constB9)))) | (~v102(constB9)) | (v105(constB9) | v106(constB9))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25336,plain,
% 218.60/141.18 ((~v102(constB9)) | (v105(constB9) | v106(constB9))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25335, 20826])).
% 218.60/141.18 tff(25337,plain,
% 218.60/141.18 (~v102(constB9)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25336, 25334])).
% 218.60/141.18 tff(25338,plain,
% 218.60/141.18 (~v104(constB10)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20678, 25337])).
% 218.60/141.18 tff(25339,plain,
% 218.60/141.18 ((~v95(constB10)) | (~v104(constB10))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20680, 25338])).
% 218.60/141.18 tff(25340,plain,
% 218.60/141.18 (~v94(constB10)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20687, 25339])).
% 218.60/141.18 tff(25341,plain,
% 218.60/141.18 (v84(constB10, 2)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20867, 25340])).
% 218.60/141.18 tff(25342,plain,
% 218.60/141.18 (v84(constB11, 2)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20928, 25341])).
% 218.60/141.18 tff(25343,plain,
% 218.60/141.18 ((v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))) | (~v84(constB11, 2))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25344,plain,
% 218.60/141.18 (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25343, 25342])).
% 218.60/141.18 tff(25345,plain,
% 218.60/141.18 (~v114(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20594, 25344])).
% 218.60/141.18 tff(25346,plain,
% 218.60/141.18 ((v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)) | (~v84(constB11, 0))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25347,plain,
% 218.60/141.18 (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25346, 25252])).
% 218.60/141.18 tff(25348,plain,
% 218.60/141.18 (~v113(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[22726, 25347])).
% 218.60/141.18 tff(25349,plain,
% 218.60/141.18 ((~(v113(constB11) | v114(constB11))) | v113(constB11) | v114(constB11)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25350,plain,
% 218.60/141.18 (~(v113(constB11) | v114(constB11))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25349, 25348, 25345])).
% 218.60/141.18 tff(25351,plain,
% 218.60/141.18 ((~(v112(constB11) <=> (v113(constB11) | v114(constB11)))) | (~v112(constB11)) | (v113(constB11) | v114(constB11))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25352,plain,
% 218.60/141.18 ((~(v112(constB11) <=> (v113(constB11) | v114(constB11)))) | (~v112(constB11))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25351, 25350])).
% 218.60/141.18 tff(25353,plain,
% 218.60/141.18 (~v112(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25352, 20166])).
% 218.60/141.18 tff(25354,plain,
% 218.60/141.18 ((~(v112(constB11) | v115(constB11))) | v112(constB11) | v115(constB11)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25355,plain,
% 218.60/141.18 (~(v112(constB11) | v115(constB11))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25354, 25353, 25255])).
% 218.60/141.18 tff(25356,plain,
% 218.60/141.18 ((~(v111(constB11) <=> (v112(constB11) | v115(constB11)))) | (~v111(constB11)) | (v112(constB11) | v115(constB11))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25357,plain,
% 218.60/141.18 ((~v111(constB11)) | (v112(constB11) | v115(constB11))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25356, 20393])).
% 218.60/141.18 tff(25358,plain,
% 218.60/141.18 (~v111(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25357, 25355])).
% 218.60/141.18 tff(25359,plain,
% 218.60/141.18 ((~(v111(constB11) | v116(constB11))) | v111(constB11) | v116(constB11)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25360,plain,
% 218.60/141.18 (~(v111(constB11) | v116(constB11))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25359, 25358, 21470])).
% 218.60/141.18 tff(25361,plain,
% 218.60/141.18 ((~(v110(constB11) <=> (v111(constB11) | v116(constB11)))) | (~v110(constB11)) | (v111(constB11) | v116(constB11))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25362,plain,
% 218.60/141.18 ((~v110(constB11)) | (v111(constB11) | v116(constB11))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25361, 20387])).
% 218.60/141.18 tff(25363,plain,
% 218.60/141.18 (~v110(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25362, 25360])).
% 218.60/141.18 tff(25364,plain,
% 218.60/141.18 (v105(constB11) | v106(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20656, 22589])).
% 218.60/141.18 tff(25365,plain,
% 218.60/141.18 (v106(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20659, 25364])).
% 218.60/141.18 tff(25366,plain,
% 218.60/141.18 (~((~v107(constB11)) | (~v120(constB11)))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20662, 25365])).
% 218.60/141.18 tff(25367,plain,
% 218.60/141.18 (v107(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20664, 25366])).
% 218.60/141.18 tff(25368,plain,
% 218.60/141.18 (v108(constB11) | v119(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20667, 25367])).
% 218.60/141.18 tff(25369,plain,
% 218.60/141.18 ((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21297, 25252])).
% 218.60/141.18 tff(25370,plain,
% 218.60/141.18 ((~(v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))) | (~v119(constB11)) | (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25371,plain,
% 218.60/141.18 ((~(v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))) | (~v119(constB11))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25370, 25369])).
% 218.60/141.18 tff(25372,plain,
% 218.60/141.18 (~v119(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25371, 20316])).
% 218.60/141.18 tff(25373,plain,
% 218.60/141.18 ((~(v108(constB11) | v119(constB11))) | v108(constB11) | v119(constB11)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25374,plain,
% 218.60/141.18 (v108(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25373, 25372, 25368])).
% 218.60/141.18 tff(25375,plain,
% 218.60/141.18 ((~(v108(constB11) <=> (v109(constB11) | v118(constB11)))) | (~v108(constB11)) | (v109(constB11) | v118(constB11))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25376,plain,
% 218.60/141.18 ((~v108(constB11)) | (v109(constB11) | v118(constB11))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25375, 20157])).
% 218.60/141.18 tff(25377,plain,
% 218.60/141.18 (v109(constB11) | v118(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25376, 25374])).
% 218.60/141.18 tff(25378,plain,
% 218.60/141.18 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v84(constB9, B)))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[20695, 25340])).
% 218.60/141.18 tff(25379,plain,
% 218.60/141.18 (v84(constB10, 1) <=> v84(constB9, 1)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21224, 25378])).
% 218.60/141.18 tff(25380,plain,
% 218.60/141.18 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB9) <=> (~(v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2)))))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25381,plain,
% 218.60/141.18 (v118(constB9) <=> (~(v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2))))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25380, 394])).
% 218.60/141.18 tff(25382,plain,
% 218.60/141.18 ((~(v118(constB9) <=> (~(v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2)))))) | v118(constB9) | (v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2)))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25383,plain,
% 218.60/141.18 (v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25382, 25314, 25381])).
% 218.60/141.18 tff(25384,plain,
% 218.60/141.18 ((~(v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2)))) | v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25385,plain,
% 218.60/141.18 ((~(v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2)))) | v84(constB9, 1)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25384, 20757, 20936])).
% 218.60/141.18 tff(25386,plain,
% 218.60/141.18 (v84(constB9, 1)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25385, 25383])).
% 218.60/141.18 tff(25387,plain,
% 218.60/141.18 ((~(v84(constB10, 1) <=> v84(constB9, 1))) | v84(constB10, 1)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21226, 25386])).
% 218.60/141.18 tff(25388,plain,
% 218.60/141.18 (v84(constB10, 1)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25387, 25379])).
% 218.60/141.18 tff(25389,plain,
% 218.60/141.18 (v84(constB11, 1)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[21264, 25388])).
% 218.60/141.18 tff(25390,plain,
% 218.60/141.18 ((~v84(constB11, 2)) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[23138, 25389])).
% 218.60/141.18 tff(25391,plain,
% 218.60/141.18 (~v118(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[22622, 25390])).
% 218.60/141.18 tff(25392,plain,
% 218.60/141.18 ((~(v109(constB11) | v118(constB11))) | v109(constB11) | v118(constB11)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25393,plain,
% 218.60/141.18 (v109(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25392, 25391, 25377])).
% 218.60/141.18 tff(25394,plain,
% 218.60/141.18 ((~(v109(constB11) <=> (v110(constB11) | v117(constB11)))) | (~v109(constB11)) | (v110(constB11) | v117(constB11))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25395,plain,
% 218.60/141.18 ((~v109(constB11)) | (v110(constB11) | v117(constB11))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25394, 20188])).
% 218.60/141.18 tff(25396,plain,
% 218.60/141.18 (v110(constB11) | v117(constB11)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25395, 25393])).
% 218.60/141.18 tff(25397,plain,
% 218.60/141.18 ((~(v110(constB11) | v117(constB11))) | v110(constB11) | v117(constB11)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25398,plain,
% 218.60/141.18 ($false),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25397, 25396, 25363, 21328])).
% 218.60/141.18 tff(25399,plain,(v84(constB19, 2) | (~v84(constB9, 0)) | (~v84(constB9, 2))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.18 tff(25400,plain,
% 218.60/141.18 (v84(constB19, 2)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25399, 21326, 20875])).
% 218.60/141.18 tff(25401,plain,
% 218.60/141.18 ((v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))) | (~v84(constB19, 2))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25402,plain,
% 218.60/141.18 (v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25401, 25400])).
% 218.60/141.18 tff(25403,assumption,(~(v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))), introduced(assumption)).
% 218.60/141.18 tff(25404,plain,
% 218.60/141.18 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25405,plain,
% 218.60/141.18 ((v115(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 2) | (~v84(constB19, 1))))) <=> (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25406,plain,
% 218.60/141.18 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 2) | (~v84(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))))),
% 218.60/141.18 inference(monotonicity,[status(thm)],[25405])).
% 218.60/141.18 tff(25407,plain,
% 218.60/141.18 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 2) | (~v84(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))))),
% 218.60/141.18 inference(transitivity,[status(thm)],[25406, 25404])).
% 218.60/141.18 tff(25408,plain,
% 218.60/141.18 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 2) | (~v84(constB19, 1)))))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25409,plain,
% 218.60/141.18 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))),
% 218.60/141.18 inference(modus_ponens,[status(thm)],[25408, 25407])).
% 218.60/141.18 tff(25410,plain,
% 218.60/141.18 ($false),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25409, 622, 25403])).
% 218.60/141.18 tff(25411,plain,(v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.18 tff(25412,plain,
% 218.60/141.18 ((~(v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))) | (~v115(constB19)) | (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25413,plain,
% 218.60/141.18 ((~v115(constB19)) | (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25412, 25411])).
% 218.60/141.18 tff(25414,plain,
% 218.60/141.18 (~v115(constB19)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25413, 25402])).
% 218.60/141.18 tff(25415,plain,
% 218.60/141.18 ((v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))) | (~v84(constB19, 2))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25416,plain,
% 218.60/141.18 (v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25415, 25400])).
% 218.60/141.18 tff(25417,assumption,(~(v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))))), introduced(assumption)).
% 218.60/141.18 tff(25418,plain,
% 218.60/141.18 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25419,plain,
% 218.60/141.18 ($false),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25418, 298, 25417])).
% 218.60/141.18 tff(25420,plain,(v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.18 tff(25421,plain,
% 218.60/141.18 ((~(v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))))) | (~v114(constB19)) | (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25422,plain,
% 218.60/141.18 ((~v114(constB19)) | (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25421, 25420])).
% 218.60/141.18 tff(25423,plain,
% 218.60/141.18 (~v114(constB19)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25422, 25416])).
% 218.60/141.18 tff(25424,assumption,(~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))), introduced(assumption)).
% 218.60/141.18 tff(25425,plain,
% 218.60/141.18 (((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))) | v84(constB23, 1)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25426,plain,
% 218.60/141.18 (v84(constB23, 1)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25425, 25424])).
% 218.60/141.18 tff(25427,assumption,(~(v84(constB23, 1) <=> v84(constB22, 1))), introduced(assumption)).
% 218.60/141.18 tff(25428,plain,
% 218.60/141.18 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25429,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22')).
% 218.60/141.18 tff(25430,plain,
% 218.60/141.18 (nextState(constB22, constB23)),
% 218.60/141.18 inference(modus_ponens,[status(thm)],[25429, 25428])).
% 218.60/141.18 tff(25431,plain,
% 218.60/141.18 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23))))))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25432,plain,
% 218.60/141.18 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23))))))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25433,plain,
% 218.60/141.18 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23)))))),
% 218.60/141.18 inference(modus_ponens,[status(thm)],[25432, 25431])).
% 218.60/141.18 tff(25434,plain,
% 218.60/141.18 (v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23))))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25433, 25430, 14])).
% 218.60/141.18 tff(25435,plain,
% 218.60/141.18 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25436,plain,
% 218.60/141.18 (((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23)))))) <=> ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25437,plain,
% 218.60/141.18 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))))),
% 218.60/141.18 inference(monotonicity,[status(thm)],[25436])).
% 218.60/141.18 tff(25438,plain,
% 218.60/141.18 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))),
% 218.60/141.18 inference(transitivity,[status(thm)],[25437, 25435])).
% 218.60/141.18 tff(25439,plain,
% 218.60/141.18 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23))))))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25440,plain,
% 218.60/141.18 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))),
% 218.60/141.18 inference(modus_ponens,[status(thm)],[25439, 25438])).
% 218.60/141.18 tff(25441,plain,
% 218.60/141.18 (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25440, 25430, 37])).
% 218.60/141.18 tff(25442,plain,
% 218.60/141.18 ((~v1(constB23)) <=> (~v1(constB23))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25443,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23')).
% 218.60/141.18 tff(25444,plain,
% 218.60/141.18 (~v1(constB23)),
% 218.60/141.18 inference(modus_ponens,[status(thm)],[25443, 25442])).
% 218.60/141.18 tff(25445,plain,
% 218.60/141.18 (((~v1(constB23)) | (~v96(constB23))) | v1(constB23)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25446,plain,
% 218.60/141.18 ((~v1(constB23)) | (~v96(constB23))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25445, 25444])).
% 218.60/141.18 tff(25447,plain,
% 218.60/141.18 ((~(v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))) | (~v95(constB23)) | (~((~v1(constB23)) | (~v96(constB23))))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25448,plain,
% 218.60/141.18 ((~(v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))) | (~v95(constB23))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25447, 25446])).
% 218.60/141.18 tff(25449,plain,
% 218.60/141.18 (~v95(constB23)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25448, 25441])).
% 218.60/141.18 tff(25450,plain,
% 218.60/141.18 (((~v95(constB23)) | (~v104(constB23))) | v95(constB23)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25451,plain,
% 218.60/141.18 ((~v95(constB23)) | (~v104(constB23))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25450, 25449])).
% 218.60/141.18 tff(25452,plain,
% 218.60/141.18 ((~(v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23)))))) | (~v94(constB23)) | (~((~v95(constB23)) | (~v104(constB23))))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25453,plain,
% 218.60/141.18 (~v94(constB23)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25452, 25451, 25434])).
% 218.60/141.18 tff(25454,plain,
% 218.60/141.18 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB23) | (~nextState(constB22, constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB23) | (~nextState(constB22, constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B))))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25455,plain,
% 218.60/141.18 ((v94(constB23) | (~nextState(constB22, constB23)) | ![B: $int] : ((v84(constB23, B) <=> v84(constB22, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB23) | (~nextState(constB22, constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B))))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25456,plain,
% 218.60/141.18 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB23) | (~nextState(constB22, constB23)) | ![B: $int] : ((v84(constB23, B) <=> v84(constB22, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB23) | (~nextState(constB22, constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))))),
% 218.60/141.18 inference(monotonicity,[status(thm)],[25455])).
% 218.60/141.18 tff(25457,plain,
% 218.60/141.18 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB23) | (~nextState(constB22, constB23)) | ![B: $int] : ((v84(constB23, B) <=> v84(constB22, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB23) | (~nextState(constB22, constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B))))),
% 218.60/141.18 inference(transitivity,[status(thm)],[25456, 25454])).
% 218.60/141.18 tff(25458,plain,
% 218.60/141.18 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB23) | (~nextState(constB22, constB23)) | ![B: $int] : ((v84(constB23, B) <=> v84(constB22, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25459,plain,
% 218.60/141.18 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB23) | (~nextState(constB22, constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))),
% 218.60/141.18 inference(modus_ponens,[status(thm)],[25458, 25457])).
% 218.60/141.18 tff(25460,plain,
% 218.60/141.18 (v94(constB23) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25459, 25430, 235])).
% 218.60/141.18 tff(25461,plain,
% 218.60/141.18 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25460, 25453])).
% 218.60/141.18 tff(25462,plain,
% 218.60/141.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 1) <=> v84(constB22, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 1) <=> v84(constB22, 1)))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25463,plain,
% 218.60/141.18 (($false | $false | (v84(constB23, 1) <=> v84(constB22, 1))) <=> (v84(constB23, 1) <=> v84(constB22, 1))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25464,plain,
% 218.60/141.18 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB23, 1) <=> v84(constB22, 1))) <=> ($false | $false | (v84(constB23, 1) <=> v84(constB22, 1)))),
% 218.60/141.18 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.18 tff(25465,plain,
% 218.60/141.18 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB23, 1) <=> v84(constB22, 1))) <=> (v84(constB23, 1) <=> v84(constB22, 1))),
% 218.60/141.18 inference(transitivity,[status(thm)],[25464, 25463])).
% 218.60/141.18 tff(25466,plain,
% 218.60/141.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB23, 1) <=> v84(constB22, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 1) <=> v84(constB22, 1)))),
% 218.60/141.18 inference(monotonicity,[status(thm)],[25465])).
% 218.60/141.18 tff(25467,plain,
% 218.60/141.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB23, 1) <=> v84(constB22, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 1) <=> v84(constB22, 1)))),
% 218.60/141.18 inference(transitivity,[status(thm)],[25466, 25462])).
% 218.60/141.18 tff(25468,plain,
% 218.60/141.18 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB23, 1) <=> v84(constB22, 1)))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25469,plain,
% 218.60/141.18 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 1) <=> v84(constB22, 1))),
% 218.60/141.18 inference(modus_ponens,[status(thm)],[25468, 25467])).
% 218.60/141.18 tff(25470,plain,
% 218.60/141.18 ($false),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25469, 25461, 25427])).
% 218.60/141.18 tff(25471,plain,(v84(constB23, 1) <=> v84(constB22, 1)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.18 tff(25472,plain,
% 218.60/141.18 ((~(v84(constB23, 1) <=> v84(constB22, 1))) | (~v84(constB23, 1)) | v84(constB22, 1)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25473,plain,
% 218.60/141.18 ((~v84(constB23, 1)) | v84(constB22, 1)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25472, 25471])).
% 218.60/141.18 tff(25474,plain,
% 218.60/141.18 (v84(constB22, 1)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25473, 25426])).
% 218.60/141.18 tff(25475,plain,
% 218.60/141.18 (((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))) | (~v84(constB23, 2))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25476,plain,
% 218.60/141.18 (~v84(constB23, 2)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25475, 25424])).
% 218.60/141.18 tff(25477,assumption,(~(v84(constB23, 2) <=> v84(constB22, 2))), introduced(assumption)).
% 218.60/141.18 tff(25478,plain,
% 218.60/141.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 2) <=> v84(constB22, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 2) <=> v84(constB22, 2)))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25479,plain,
% 218.60/141.18 (($false | $false | (v84(constB23, 2) <=> v84(constB22, 2))) <=> (v84(constB23, 2) <=> v84(constB22, 2))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25480,plain,
% 218.60/141.18 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB23, 2) <=> v84(constB22, 2))) <=> ($false | $false | (v84(constB23, 2) <=> v84(constB22, 2)))),
% 218.60/141.18 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.18 tff(25481,plain,
% 218.60/141.18 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB23, 2) <=> v84(constB22, 2))) <=> (v84(constB23, 2) <=> v84(constB22, 2))),
% 218.60/141.18 inference(transitivity,[status(thm)],[25480, 25479])).
% 218.60/141.18 tff(25482,plain,
% 218.60/141.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB23, 2) <=> v84(constB22, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 2) <=> v84(constB22, 2)))),
% 218.60/141.18 inference(monotonicity,[status(thm)],[25481])).
% 218.60/141.18 tff(25483,plain,
% 218.60/141.18 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB23, 2) <=> v84(constB22, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 2) <=> v84(constB22, 2)))),
% 218.60/141.18 inference(transitivity,[status(thm)],[25482, 25478])).
% 218.60/141.18 tff(25484,plain,
% 218.60/141.18 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB23, 2) <=> v84(constB22, 2)))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25485,plain,
% 218.60/141.18 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 2) <=> v84(constB22, 2))),
% 218.60/141.18 inference(modus_ponens,[status(thm)],[25484, 25483])).
% 218.60/141.18 tff(25486,plain,
% 218.60/141.18 ($false),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25485, 25461, 25477])).
% 218.60/141.18 tff(25487,plain,(v84(constB23, 2) <=> v84(constB22, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.18 tff(25488,plain,
% 218.60/141.18 ((~(v84(constB23, 2) <=> v84(constB22, 2))) | v84(constB23, 2) | (~v84(constB22, 2))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25489,plain,
% 218.60/141.18 (v84(constB23, 2) | (~v84(constB22, 2))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25488, 25487])).
% 218.60/141.18 tff(25490,plain,
% 218.60/141.18 (~v84(constB22, 2)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25489, 25476])).
% 218.60/141.18 tff(25491,plain,
% 218.60/141.18 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB21) <=> (v111(constB21) | v116(constB21)))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25492,plain,
% 218.60/141.18 (v110(constB21) <=> (v111(constB21) | v116(constB21))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25491, 265])).
% 218.60/141.18 tff(25493,assumption,(~v106(constB21)), introduced(assumption)).
% 218.60/141.18 tff(25494,plain,
% 218.60/141.18 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB21) <=> v26(constB21))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25495,plain,
% 218.60/141.18 (v105(constB21) <=> v26(constB21)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25494, 156])).
% 218.60/141.18 tff(25496,plain,
% 218.60/141.18 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25497,plain,
% 218.60/141.18 (~v26(constB21)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25496, 168])).
% 218.60/141.18 tff(25498,plain,
% 218.60/141.18 ((~(v105(constB21) <=> v26(constB21))) | (~v105(constB21)) | v26(constB21)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25499,plain,
% 218.60/141.18 ((~(v105(constB21) <=> v26(constB21))) | (~v105(constB21))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25498, 25497])).
% 218.60/141.18 tff(25500,plain,
% 218.60/141.18 (~v105(constB21)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25499, 25495])).
% 218.60/141.18 tff(25501,plain,
% 218.60/141.18 ((~(v105(constB21) | v106(constB21))) | v105(constB21) | v106(constB21)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25502,plain,
% 218.60/141.18 ((~(v105(constB21) | v106(constB21))) | v106(constB21)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25501, 25500])).
% 218.60/141.18 tff(25503,plain,
% 218.60/141.18 (~(v105(constB21) | v106(constB21))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25502, 25493])).
% 218.60/141.18 tff(25504,plain,
% 218.60/141.18 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB21) <=> (v105(constB21) | v106(constB21)))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25505,plain,
% 218.60/141.18 (v102(constB21) <=> (v105(constB21) | v106(constB21))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25504, 115])).
% 218.60/141.18 tff(25506,plain,
% 218.60/141.18 ((~(v102(constB21) <=> (v105(constB21) | v106(constB21)))) | (~v102(constB21)) | (v105(constB21) | v106(constB21))),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25507,plain,
% 218.60/141.18 ((~v102(constB21)) | (v105(constB21) | v106(constB21))),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25506, 25505])).
% 218.60/141.18 tff(25508,plain,
% 218.60/141.18 (~v102(constB21)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25507, 25503])).
% 218.60/141.18 tff(25509,plain,
% 218.60/141.18 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25510,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21')).
% 218.60/141.18 tff(25511,plain,
% 218.60/141.18 (nextState(constB21, constB22)),
% 218.60/141.18 inference(modus_ponens,[status(thm)],[25510, 25509])).
% 218.60/141.18 tff(25512,plain,
% 218.60/141.18 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21)))),
% 218.60/141.18 inference(rewrite,[status(thm)],[])).
% 218.60/141.18 tff(25513,plain,
% 218.60/141.18 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21)))),
% 218.60/141.18 inference(quant_inst,[status(thm)],[])).
% 218.60/141.18 tff(25514,plain,
% 218.60/141.18 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21))),
% 218.60/141.18 inference(modus_ponens,[status(thm)],[25513, 25512])).
% 218.60/141.18 tff(25515,plain,
% 218.60/141.18 (v104(constB22) <=> v102(constB21)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25514, 25511, 101])).
% 218.60/141.18 tff(25516,plain,
% 218.60/141.18 ((~(v104(constB22) <=> v102(constB21))) | (~v104(constB22)) | v102(constB21)),
% 218.60/141.18 inference(tautology,[status(thm)],[])).
% 218.60/141.18 tff(25517,plain,
% 218.60/141.18 ((~v104(constB22)) | v102(constB21)),
% 218.60/141.18 inference(unit_resolution,[status(thm)],[25516, 25515])).
% 218.60/141.19 tff(25518,plain,
% 218.60/141.19 (~v104(constB22)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25517, 25508])).
% 218.60/141.19 tff(25519,plain,
% 218.60/141.19 (((~v95(constB22)) | (~v104(constB22))) | v104(constB22)),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25520,plain,
% 218.60/141.19 ((~v95(constB22)) | (~v104(constB22))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25519, 25518])).
% 218.60/141.19 tff(25521,plain,
% 218.60/141.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22))))))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25522,plain,
% 218.60/141.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22))))))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25523,plain,
% 218.60/141.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22)))))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25522, 25521])).
% 218.60/141.19 tff(25524,plain,
% 218.60/141.19 (v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22))))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25523, 25511, 14])).
% 218.60/141.19 tff(25525,plain,
% 218.60/141.19 ((~(v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22)))))) | (~v94(constB22)) | (~((~v95(constB22)) | (~v104(constB22))))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25526,plain,
% 218.60/141.19 ((~v94(constB22)) | (~((~v95(constB22)) | (~v104(constB22))))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25525, 25524])).
% 218.60/141.19 tff(25527,plain,
% 218.60/141.19 (~v94(constB22)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25526, 25520])).
% 218.60/141.19 tff(25528,plain,
% 218.60/141.19 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB22) | (~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB22) | (~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B))))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25529,plain,
% 218.60/141.19 ((v94(constB22) | (~nextState(constB21, constB22)) | ![B: $int] : ((v84(constB22, B) <=> v84(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB22) | (~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B))))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25530,plain,
% 218.60/141.19 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB22) | (~nextState(constB21, constB22)) | ![B: $int] : ((v84(constB22, B) <=> v84(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB22) | (~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[25529])).
% 218.60/141.19 tff(25531,plain,
% 218.60/141.19 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB22) | (~nextState(constB21, constB22)) | ![B: $int] : ((v84(constB22, B) <=> v84(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB22) | (~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B))))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25530, 25528])).
% 218.60/141.19 tff(25532,plain,
% 218.60/141.19 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB22) | (~nextState(constB21, constB22)) | ![B: $int] : ((v84(constB22, B) <=> v84(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25533,plain,
% 218.60/141.19 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB22) | (~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25532, 25531])).
% 218.60/141.19 tff(25534,plain,
% 218.60/141.19 (v94(constB22) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25533, 25511, 235])).
% 218.60/141.19 tff(25535,plain,
% 218.60/141.19 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25534, 25527])).
% 218.60/141.19 tff(25536,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 1) <=> v84(constB21, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 1) <=> v84(constB21, 1)))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25537,plain,
% 218.60/141.19 (($false | $false | (v84(constB22, 1) <=> v84(constB21, 1))) <=> (v84(constB22, 1) <=> v84(constB21, 1))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25538,plain,
% 218.60/141.19 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB22, 1) <=> v84(constB21, 1))) <=> ($false | $false | (v84(constB22, 1) <=> v84(constB21, 1)))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.19 tff(25539,plain,
% 218.60/141.19 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB22, 1) <=> v84(constB21, 1))) <=> (v84(constB22, 1) <=> v84(constB21, 1))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25538, 25537])).
% 218.60/141.19 tff(25540,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB22, 1) <=> v84(constB21, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 1) <=> v84(constB21, 1)))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[25539])).
% 218.60/141.19 tff(25541,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB22, 1) <=> v84(constB21, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 1) <=> v84(constB21, 1)))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25540, 25536])).
% 218.60/141.19 tff(25542,plain,
% 218.60/141.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB22, 1) <=> v84(constB21, 1)))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25543,plain,
% 218.60/141.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 1) <=> v84(constB21, 1))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25542, 25541])).
% 218.60/141.19 tff(25544,plain,
% 218.60/141.19 (v84(constB22, 1) <=> v84(constB21, 1)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25543, 25535])).
% 218.60/141.19 tff(25545,assumption,(v84(constB22, 1)), introduced(assumption)).
% 218.60/141.19 tff(25546,plain,
% 218.60/141.19 ((~(v84(constB22, 1) <=> v84(constB21, 1))) | (~v84(constB22, 1)) | v84(constB21, 1)),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25547,plain,
% 218.60/141.19 ((~(v84(constB22, 1) <=> v84(constB21, 1))) | v84(constB21, 1)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25546, 25545])).
% 218.60/141.19 tff(25548,plain,
% 218.60/141.19 (v84(constB21, 1)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25547, 25544])).
% 218.60/141.19 tff(25549,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 2) <=> v84(constB21, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 2) <=> v84(constB21, 2)))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25550,plain,
% 218.60/141.19 (($false | $false | (v84(constB22, 2) <=> v84(constB21, 2))) <=> (v84(constB22, 2) <=> v84(constB21, 2))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25551,plain,
% 218.60/141.19 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB22, 2) <=> v84(constB21, 2))) <=> ($false | $false | (v84(constB22, 2) <=> v84(constB21, 2)))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.19 tff(25552,plain,
% 218.60/141.19 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB22, 2) <=> v84(constB21, 2))) <=> (v84(constB22, 2) <=> v84(constB21, 2))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25551, 25550])).
% 218.60/141.19 tff(25553,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB22, 2) <=> v84(constB21, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 2) <=> v84(constB21, 2)))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[25552])).
% 218.60/141.19 tff(25554,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB22, 2) <=> v84(constB21, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 2) <=> v84(constB21, 2)))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25553, 25549])).
% 218.60/141.19 tff(25555,plain,
% 218.60/141.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB22, 2) <=> v84(constB21, 2)))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25556,plain,
% 218.60/141.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 2) <=> v84(constB21, 2))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25555, 25554])).
% 218.60/141.19 tff(25557,plain,
% 218.60/141.19 (v84(constB22, 2) <=> v84(constB21, 2)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25556, 25535])).
% 218.60/141.19 tff(25558,assumption,(~v84(constB22, 2)), introduced(assumption)).
% 218.60/141.19 tff(25559,plain,
% 218.60/141.19 ((~(v84(constB22, 2) <=> v84(constB21, 2))) | v84(constB22, 2) | (~v84(constB21, 2))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25560,plain,
% 218.60/141.19 ((~(v84(constB22, 2) <=> v84(constB21, 2))) | (~v84(constB21, 2))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25559, 25558])).
% 218.60/141.19 tff(25561,plain,
% 218.60/141.19 (~v84(constB21, 2)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25560, 25557])).
% 218.60/141.19 tff(25562,plain,
% 218.60/141.19 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)))))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25563,plain,
% 218.60/141.19 ((v116(constB21) <=> (~(v84(constB21, 2) | (~v84(constB21, 1)) | (~v84(constB21, 0))))) <=> (v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25564,plain,
% 218.60/141.19 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB21) <=> (~(v84(constB21, 2) | (~v84(constB21, 1)) | (~v84(constB21, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)))))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[25563])).
% 218.60/141.19 tff(25565,plain,
% 218.60/141.19 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB21) <=> (~(v84(constB21, 2) | (~v84(constB21, 1)) | (~v84(constB21, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)))))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25564, 25562])).
% 218.60/141.19 tff(25566,plain,
% 218.60/141.19 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB21) <=> (~(v84(constB21, 2) | (~v84(constB21, 1)) | (~v84(constB21, 0)))))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25567,plain,
% 218.60/141.19 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25566, 25565])).
% 218.60/141.19 tff(25568,plain,
% 218.60/141.19 (v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25567, 521])).
% 218.60/141.19 tff(25569,assumption,(~(v111(constB21) | v116(constB21))), introduced(assumption)).
% 218.60/141.19 tff(25570,plain,
% 218.60/141.19 ((v111(constB21) | v116(constB21)) | (~v116(constB21))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25571,plain,
% 218.60/141.19 (~v116(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25570, 25569])).
% 218.60/141.19 tff(25572,plain,
% 218.60/141.19 ((~(v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))))) | v116(constB21) | ((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25573,plain,
% 218.60/141.19 ((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25572, 25571, 25568])).
% 218.60/141.19 tff(25574,assumption,(~v84(constB21, 2)), introduced(assumption)).
% 218.60/141.19 tff(25575,assumption,(v84(constB21, 1)), introduced(assumption)).
% 218.60/141.19 tff(25576,plain,
% 218.60/141.19 ((~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))) | (~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25577,plain,
% 218.60/141.19 ((~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))) | (~v84(constB21, 0))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25576, 25575, 25574])).
% 218.60/141.19 tff(25578,plain,
% 218.60/141.19 (~v84(constB21, 0)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25577, 25573])).
% 218.60/141.19 tff(25579,plain,
% 218.60/141.19 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)))))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25580,plain,
% 218.60/141.19 ((v115(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 2) | (~v84(constB21, 1))))) <=> (v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25581,plain,
% 218.60/141.19 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 2) | (~v84(constB21, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)))))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[25580])).
% 218.60/141.19 tff(25582,plain,
% 218.60/141.19 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 2) | (~v84(constB21, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)))))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25581, 25579])).
% 218.60/141.19 tff(25583,plain,
% 218.60/141.19 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 2) | (~v84(constB21, 1)))))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25584,plain,
% 218.60/141.19 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25583, 25582])).
% 218.60/141.19 tff(25585,plain,
% 218.60/141.19 (v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25584, 622])).
% 218.60/141.19 tff(25586,plain,
% 218.60/141.19 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB21) <=> (v112(constB21) | v115(constB21)))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25587,plain,
% 218.60/141.19 (v111(constB21) <=> (v112(constB21) | v115(constB21))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25586, 274])).
% 218.60/141.19 tff(25588,plain,
% 218.60/141.19 ((v111(constB21) | v116(constB21)) | (~v111(constB21))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25589,plain,
% 218.60/141.19 (~v111(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25588, 25569])).
% 218.60/141.19 tff(25590,plain,
% 218.60/141.19 ((~(v111(constB21) <=> (v112(constB21) | v115(constB21)))) | v111(constB21) | (~(v112(constB21) | v115(constB21)))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25591,plain,
% 218.60/141.19 (~(v112(constB21) | v115(constB21))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25590, 25589, 25587])).
% 218.60/141.19 tff(25592,plain,
% 218.60/141.19 ((v112(constB21) | v115(constB21)) | (~v115(constB21))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25593,plain,
% 218.60/141.19 (~v115(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25592, 25591])).
% 218.60/141.19 tff(25594,plain,
% 218.60/141.19 ((~(v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))))) | v115(constB21) | ((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25595,plain,
% 218.60/141.19 ((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25594, 25593, 25585])).
% 218.60/141.19 tff(25596,plain,
% 218.60/141.19 ((~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))) | (~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25597,plain,
% 218.60/141.19 ((~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))) | v84(constB21, 0)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25596, 25575, 25574])).
% 218.60/141.19 tff(25598,plain,
% 218.60/141.19 ($false),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25597, 25595, 25578])).
% 218.60/141.19 tff(25599,plain,((v111(constB21) | v116(constB21)) | (~v84(constB21, 1)) | v84(constB21, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.19 tff(25600,plain,
% 218.60/141.19 (v111(constB21) | v116(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25599, 25561, 25548])).
% 218.60/141.19 tff(25601,plain,
% 218.60/141.19 ((~(v110(constB21) <=> (v111(constB21) | v116(constB21)))) | v110(constB21) | (~(v111(constB21) | v116(constB21)))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25602,plain,
% 218.60/141.19 ((~(v110(constB21) <=> (v111(constB21) | v116(constB21)))) | v110(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25601, 25600])).
% 218.60/141.19 tff(25603,plain,
% 218.60/141.19 (v110(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25602, 25492])).
% 218.60/141.19 tff(25604,plain,
% 218.60/141.19 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB21) <=> (v110(constB21) | v117(constB21)))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25605,plain,
% 218.60/141.19 (v109(constB21) <=> (v110(constB21) | v117(constB21))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25604, 456])).
% 218.60/141.19 tff(25606,plain,
% 218.60/141.19 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB21) <=> (v109(constB21) | v118(constB21)))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25607,plain,
% 218.60/141.19 (v108(constB21) <=> (v109(constB21) | v118(constB21))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25606, 428])).
% 218.60/141.19 tff(25608,plain,
% 218.60/141.19 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB21) <=> (v108(constB21) | v119(constB21)))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25609,plain,
% 218.60/141.19 (v107(constB21) <=> (v108(constB21) | v119(constB21))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25608, 187])).
% 218.60/141.19 tff(25610,plain,
% 218.60/141.19 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB21) <=> (~((~v107(constB21)) | (~v120(constB21)))))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25611,plain,
% 218.60/141.19 (v106(constB21) <=> (~((~v107(constB21)) | (~v120(constB21))))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25610, 132])).
% 218.60/141.19 tff(25612,plain,
% 218.60/141.19 ((~(v106(constB21) <=> (~((~v107(constB21)) | (~v120(constB21)))))) | v106(constB21) | ((~v107(constB21)) | (~v120(constB21)))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25613,plain,
% 218.60/141.19 (v106(constB21) | ((~v107(constB21)) | (~v120(constB21)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25612, 25611])).
% 218.60/141.19 tff(25614,plain,
% 218.60/141.19 ((~v107(constB21)) | (~v120(constB21))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25613, 25493])).
% 218.60/141.19 tff(25615,plain,
% 218.60/141.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB21)) <=> v105(constB21))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25616,plain,
% 218.60/141.19 ((~v120(constB21)) <=> v105(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25615, 144])).
% 218.60/141.19 tff(25617,plain,
% 218.60/141.19 ((~((~v120(constB21)) <=> v105(constB21))) | v120(constB21) | v105(constB21)),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25618,plain,
% 218.60/141.19 ((~((~v120(constB21)) <=> v105(constB21))) | v120(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25617, 25500])).
% 218.60/141.19 tff(25619,plain,
% 218.60/141.19 (v120(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25618, 25616])).
% 218.60/141.19 tff(25620,plain,
% 218.60/141.19 ((~((~v107(constB21)) | (~v120(constB21)))) | (~v107(constB21)) | (~v120(constB21))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25621,plain,
% 218.60/141.19 ((~((~v107(constB21)) | (~v120(constB21)))) | (~v107(constB21))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25620, 25619])).
% 218.60/141.19 tff(25622,plain,
% 218.60/141.19 (~v107(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25621, 25614])).
% 218.60/141.19 tff(25623,plain,
% 218.60/141.19 ((~(v107(constB21) <=> (v108(constB21) | v119(constB21)))) | v107(constB21) | (~(v108(constB21) | v119(constB21)))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25624,plain,
% 218.60/141.19 ((~(v107(constB21) <=> (v108(constB21) | v119(constB21)))) | (~(v108(constB21) | v119(constB21)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25623, 25622])).
% 218.60/141.19 tff(25625,plain,
% 218.60/141.19 (~(v108(constB21) | v119(constB21))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25624, 25609])).
% 218.60/141.19 tff(25626,plain,
% 218.60/141.19 ((v108(constB21) | v119(constB21)) | (~v108(constB21))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25627,plain,
% 218.60/141.19 (~v108(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25626, 25625])).
% 218.60/141.19 tff(25628,plain,
% 218.60/141.19 ((~(v108(constB21) <=> (v109(constB21) | v118(constB21)))) | v108(constB21) | (~(v109(constB21) | v118(constB21)))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25629,plain,
% 218.60/141.19 ((~(v108(constB21) <=> (v109(constB21) | v118(constB21)))) | (~(v109(constB21) | v118(constB21)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25628, 25627])).
% 218.60/141.19 tff(25630,plain,
% 218.60/141.19 (~(v109(constB21) | v118(constB21))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25629, 25607])).
% 218.60/141.19 tff(25631,plain,
% 218.60/141.19 ((v109(constB21) | v118(constB21)) | (~v109(constB21))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25632,plain,
% 218.60/141.19 (~v109(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25631, 25630])).
% 218.60/141.19 tff(25633,plain,
% 218.60/141.19 ((~(v109(constB21) <=> (v110(constB21) | v117(constB21)))) | v109(constB21) | (~(v110(constB21) | v117(constB21)))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25634,plain,
% 218.60/141.19 ((~(v109(constB21) <=> (v110(constB21) | v117(constB21)))) | (~(v110(constB21) | v117(constB21)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25633, 25632])).
% 218.60/141.19 tff(25635,plain,
% 218.60/141.19 (~(v110(constB21) | v117(constB21))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25634, 25605])).
% 218.60/141.19 tff(25636,plain,
% 218.60/141.19 ((v110(constB21) | v117(constB21)) | (~v110(constB21))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25637,plain,
% 218.60/141.19 ($false),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25636, 25635, 25603])).
% 218.60/141.19 tff(25638,plain,(v106(constB21) | v84(constB22, 2) | (~v84(constB22, 1))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.19 tff(25639,plain,
% 218.60/141.19 (v106(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25638, 25490, 25474])).
% 218.60/141.19 tff(25640,plain,
% 218.60/141.19 ((v105(constB21) | v106(constB21)) | (~v106(constB21))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25641,plain,
% 218.60/141.19 (v105(constB21) | v106(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25640, 25639])).
% 218.60/141.19 tff(25642,plain,
% 218.60/141.19 ((~(v102(constB21) <=> (v105(constB21) | v106(constB21)))) | v102(constB21) | (~(v105(constB21) | v106(constB21)))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25643,plain,
% 218.60/141.19 (v102(constB21) | (~(v105(constB21) | v106(constB21)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25642, 25505])).
% 218.60/141.19 tff(25644,plain,
% 218.60/141.19 (v102(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25643, 25641])).
% 218.60/141.19 tff(25645,plain,
% 218.60/141.19 ((~(v104(constB22) <=> v102(constB21))) | v104(constB22) | (~v102(constB21))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25646,plain,
% 218.60/141.19 (v104(constB22) | (~v102(constB21))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25645, 25515])).
% 218.60/141.19 tff(25647,plain,
% 218.60/141.19 (v104(constB22)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25646, 25644])).
% 218.60/141.19 tff(25648,plain,
% 218.60/141.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25649,plain,
% 218.60/141.19 (((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22)))))) <=> ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25650,plain,
% 218.60/141.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22)))))))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[25649])).
% 218.60/141.19 tff(25651,plain,
% 218.60/141.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25650, 25648])).
% 218.60/141.19 tff(25652,plain,
% 218.60/141.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22))))))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25653,plain,
% 218.60/141.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22)))))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25652, 25651])).
% 218.60/141.19 tff(25654,plain,
% 218.60/141.19 (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25653, 25511, 37])).
% 218.60/141.19 tff(25655,plain,
% 218.60/141.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22)))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25656,plain,
% 218.60/141.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22)))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25657,plain,
% 218.60/141.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25656, 25655])).
% 218.60/141.19 tff(25658,plain,
% 218.60/141.19 ((~v96(constB22)) <=> v98(constB22)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25657, 25511, 54])).
% 218.60/141.19 tff(25659,plain,
% 218.60/141.19 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21)))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25660,plain,
% 218.60/141.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21)))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25661,plain,
% 218.60/141.19 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25660, 25659])).
% 218.60/141.19 tff(25662,plain,
% 218.60/141.19 (v98(constB22) <=> v1(constB21)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25661, 25511, 68])).
% 218.60/141.19 tff(25663,plain,
% 218.60/141.19 ((~v1(constB21)) <=> (~v1(constB21))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25664,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21')).
% 218.60/141.19 tff(25665,plain,
% 218.60/141.19 (~v1(constB21)),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25664, 25663])).
% 218.60/141.19 tff(25666,plain,
% 218.60/141.19 ((~(v98(constB22) <=> v1(constB21))) | (~v98(constB22)) | v1(constB21)),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25667,plain,
% 218.60/141.19 ((~(v98(constB22) <=> v1(constB21))) | (~v98(constB22))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25666, 25665])).
% 218.60/141.19 tff(25668,plain,
% 218.60/141.19 (~v98(constB22)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25667, 25662])).
% 218.60/141.19 tff(25669,plain,
% 218.60/141.19 ((~((~v96(constB22)) <=> v98(constB22))) | v96(constB22) | v98(constB22)),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25670,plain,
% 218.60/141.19 (v96(constB22)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25669, 25668, 25658])).
% 218.60/141.19 tff(25671,plain,
% 218.60/141.19 (v1(constB22) <=> v1(constB22)),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25672,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22')).
% 218.60/141.19 tff(25673,plain,
% 218.60/141.19 (v1(constB22)),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25672, 25671])).
% 218.60/141.19 tff(25674,plain,
% 218.60/141.19 ((~((~v1(constB22)) | (~v96(constB22)))) | (~v1(constB22)) | (~v96(constB22))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25675,plain,
% 218.60/141.19 ((~((~v1(constB22)) | (~v96(constB22)))) | (~v96(constB22))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25674, 25673])).
% 218.60/141.19 tff(25676,plain,
% 218.60/141.19 (~((~v1(constB22)) | (~v96(constB22)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25675, 25670])).
% 218.60/141.19 tff(25677,plain,
% 218.60/141.19 ((~(v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22)))))) | v95(constB22) | ((~v1(constB22)) | (~v96(constB22)))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25678,plain,
% 218.60/141.19 (v95(constB22)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25677, 25676, 25654])).
% 218.60/141.19 tff(25679,plain,
% 218.60/141.19 ((~((~v95(constB22)) | (~v104(constB22)))) | (~v95(constB22)) | (~v104(constB22))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25680,plain,
% 218.60/141.19 ((~((~v95(constB22)) | (~v104(constB22)))) | (~v104(constB22))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25679, 25678])).
% 218.60/141.19 tff(25681,plain,
% 218.60/141.19 (~((~v95(constB22)) | (~v104(constB22)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25680, 25647])).
% 218.60/141.19 tff(25682,plain,
% 218.60/141.19 ((~(v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22)))))) | v94(constB22) | ((~v95(constB22)) | (~v104(constB22)))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25683,plain,
% 218.60/141.19 (v94(constB22) | ((~v95(constB22)) | (~v104(constB22)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25682, 25524])).
% 218.60/141.19 tff(25684,plain,
% 218.60/141.19 (v94(constB22)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25683, 25681])).
% 218.60/141.19 tff(25685,plain,
% 218.60/141.19 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B))))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25686,plain,
% 218.60/141.19 (((~v94(constB22)) | ![B: $int] : ((v84(constB22, B) <=> v123(constB22, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B))))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25687,plain,
% 218.60/141.19 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB22)) | ![B: $int] : ((v84(constB22, B) <=> v123(constB22, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[25686])).
% 218.60/141.19 tff(25688,plain,
% 218.60/141.19 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB22)) | ![B: $int] : ((v84(constB22, B) <=> v123(constB22, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B))))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25687, 25685])).
% 218.60/141.19 tff(25689,plain,
% 218.60/141.19 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB22)) | ![B: $int] : ((v84(constB22, B) <=> v123(constB22, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25690,plain,
% 218.60/141.19 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25689, 25688])).
% 218.60/141.19 tff(25691,plain,
% 218.60/141.19 ((~v94(constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25690, 1491])).
% 218.60/141.19 tff(25692,plain,
% 218.60/141.19 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25691, 25684])).
% 218.60/141.19 tff(25693,assumption,(~(v84(constB22, 0) <=> v123(constB22, 0))), introduced(assumption)).
% 218.60/141.19 tff(25694,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))), introduced(assumption)).
% 218.60/141.19 tff(25695,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 0) <=> v123(constB22, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 0) <=> v123(constB22, 0)))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25696,plain,
% 218.60/141.19 (($false | $false | (v84(constB22, 0) <=> v123(constB22, 0))) <=> (v84(constB22, 0) <=> v123(constB22, 0))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25697,plain,
% 218.60/141.19 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB22, 0) <=> v123(constB22, 0))) <=> ($false | $false | (v84(constB22, 0) <=> v123(constB22, 0)))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.19 tff(25698,plain,
% 218.60/141.19 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB22, 0) <=> v123(constB22, 0))) <=> (v84(constB22, 0) <=> v123(constB22, 0))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25697, 25696])).
% 218.60/141.19 tff(25699,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB22, 0) <=> v123(constB22, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 0) <=> v123(constB22, 0)))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[25698])).
% 218.60/141.19 tff(25700,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB22, 0) <=> v123(constB22, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 0) <=> v123(constB22, 0)))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25699, 25695])).
% 218.60/141.19 tff(25701,plain,
% 218.60/141.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB22, 0) <=> v123(constB22, 0)))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25702,plain,
% 218.60/141.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 0) <=> v123(constB22, 0))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25701, 25700])).
% 218.60/141.19 tff(25703,plain,
% 218.60/141.19 ($false),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25702, 25694, 25693])).
% 218.60/141.19 tff(25704,plain,((v84(constB22, 0) <=> v123(constB22, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.19 tff(25705,plain,
% 218.60/141.19 (v84(constB22, 0) <=> v123(constB22, 0)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25704, 25692])).
% 218.60/141.19 tff(25706,assumption,(~(v84(constB22, 2) <=> v123(constB22, 2))), introduced(assumption)).
% 218.60/141.19 tff(25707,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 2) <=> v123(constB22, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 2) <=> v123(constB22, 2)))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25708,plain,
% 218.60/141.19 (($false | $false | (v84(constB22, 2) <=> v123(constB22, 2))) <=> (v84(constB22, 2) <=> v123(constB22, 2))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25709,plain,
% 218.60/141.19 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB22, 2) <=> v123(constB22, 2))) <=> ($false | $false | (v84(constB22, 2) <=> v123(constB22, 2)))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.19 tff(25710,plain,
% 218.60/141.19 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB22, 2) <=> v123(constB22, 2))) <=> (v84(constB22, 2) <=> v123(constB22, 2))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25709, 25708])).
% 218.60/141.19 tff(25711,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB22, 2) <=> v123(constB22, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 2) <=> v123(constB22, 2)))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[25710])).
% 218.60/141.19 tff(25712,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB22, 2) <=> v123(constB22, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 2) <=> v123(constB22, 2)))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25711, 25707])).
% 218.60/141.19 tff(25713,plain,
% 218.60/141.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB22, 2) <=> v123(constB22, 2)))),
% 218.60/141.19 inference(quant_inst,[status(thm)],[])).
% 218.60/141.19 tff(25714,plain,
% 218.60/141.19 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 2) <=> v123(constB22, 2))),
% 218.60/141.19 inference(modus_ponens,[status(thm)],[25713, 25712])).
% 218.60/141.19 tff(25715,plain,
% 218.60/141.19 ($false),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25714, 25694, 25706])).
% 218.60/141.19 tff(25716,plain,((v84(constB22, 2) <=> v123(constB22, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.19 tff(25717,plain,
% 218.60/141.19 (v84(constB22, 2) <=> v123(constB22, 2)),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25716, 25692])).
% 218.60/141.19 tff(25718,plain,
% 218.60/141.19 ((v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))) | (~v84(constB23, 1))),
% 218.60/141.19 inference(tautology,[status(thm)],[])).
% 218.60/141.19 tff(25719,plain,
% 218.60/141.19 (v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))),
% 218.60/141.19 inference(unit_resolution,[status(thm)],[25718, 25426])).
% 218.60/141.19 tff(25720,assumption,(~(v84(constB22, 1) <=> v123(constB22, 1))), introduced(assumption)).
% 218.60/141.19 tff(25721,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 1) <=> v123(constB22, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 1) <=> v123(constB22, 1)))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25722,plain,
% 218.60/141.19 (($false | $false | (v84(constB22, 1) <=> v123(constB22, 1))) <=> (v84(constB22, 1) <=> v123(constB22, 1))),
% 218.60/141.19 inference(rewrite,[status(thm)],[])).
% 218.60/141.19 tff(25723,plain,
% 218.60/141.19 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB22, 1) <=> v123(constB22, 1))) <=> ($false | $false | (v84(constB22, 1) <=> v123(constB22, 1)))),
% 218.60/141.19 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.19 tff(25724,plain,
% 218.60/141.19 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB22, 1) <=> v123(constB22, 1))) <=> (v84(constB22, 1) <=> v123(constB22, 1))),
% 218.60/141.19 inference(transitivity,[status(thm)],[25723, 25722])).
% 218.60/141.19 tff(25725,plain,
% 218.60/141.19 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB22, 1) <=> v123(constB22, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 1) <=> v123(constB22, 1)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25724])).
% 218.60/141.20 tff(25726,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB22, 1) <=> v123(constB22, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 1) <=> v123(constB22, 1)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25725, 25721])).
% 218.60/141.20 tff(25727,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB22, 1) <=> v123(constB22, 1)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25728,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))) | (v84(constB22, 1) <=> v123(constB22, 1))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25727, 25726])).
% 218.60/141.20 tff(25729,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25728, 25694, 25720])).
% 218.60/141.20 tff(25730,plain,((v84(constB22, 1) <=> v123(constB22, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25731,plain,
% 218.60/141.20 (v84(constB22, 1) <=> v123(constB22, 1)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25730, 25692])).
% 218.60/141.20 tff(25732,assumption,(v84(constB22, 0) <=> v123(constB22, 0)), introduced(assumption)).
% 218.60/141.20 tff(25733,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))), introduced(assumption)).
% 218.60/141.20 tff(25734,assumption,(~v124(constB21, 0)), introduced(assumption)).
% 218.60/141.20 tff(25735,plain,
% 218.60/141.20 ((~(v124(constB21, 0) <=> b001(0))) | v124(constB21, 0) | (~b001(0))),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25736,plain,
% 218.60/141.20 (~(v124(constB21, 0) <=> b001(0))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25735, 1940, 25734])).
% 218.60/141.20 tff(25737,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 0) <=> b001(0)))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25738,plain,
% 218.60/141.20 (($false | $false | (v124(constB21, 0) <=> b001(0))) <=> (v124(constB21, 0) <=> b001(0))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25739,plain,
% 218.60/141.20 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b001(0))) <=> ($false | $false | (v124(constB21, 0) <=> b001(0)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.20 tff(25740,plain,
% 218.60/141.20 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b001(0))) <=> (v124(constB21, 0) <=> b001(0))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25739, 25738])).
% 218.60/141.20 tff(25741,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 0) <=> b001(0)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25740])).
% 218.60/141.20 tff(25742,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 0) <=> b001(0)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25741, 25737])).
% 218.60/141.20 tff(25743,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b001(0)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25744,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 0) <=> b001(0))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25743, 25742])).
% 218.60/141.20 tff(25745,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25744, 25733, 25736])).
% 218.60/141.20 tff(25746,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | v124(constB21, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25747,plain,
% 218.60/141.20 (v124(constB21, 0)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25746, 25733])).
% 218.60/141.20 tff(25748,assumption,(~(v121(constB21, 0) <=> v124(constB21, 0))), introduced(assumption)).
% 218.60/141.20 tff(25749,plain,
% 218.60/141.20 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B))))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25750,plain,
% 218.60/141.20 ((v105(constB21) | ![B: $int] : ((v121(constB21, B) <=> v124(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B))))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25751,plain,
% 218.60/141.20 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB21) | ![B: $int] : ((v121(constB21, B) <=> v124(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25750])).
% 218.60/141.20 tff(25752,plain,
% 218.60/141.20 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB21) | ![B: $int] : ((v121(constB21, B) <=> v124(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B))))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25751, 25749])).
% 218.60/141.20 tff(25753,plain,
% 218.60/141.20 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB21) | ![B: $int] : ((v121(constB21, B) <=> v124(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25754,plain,
% 218.60/141.20 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25753, 25752])).
% 218.60/141.20 tff(25755,plain,
% 218.60/141.20 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25754, 1562, 25500])).
% 218.60/141.20 tff(25756,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 0) <=> v124(constB21, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 0) <=> v124(constB21, 0)))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25757,plain,
% 218.60/141.20 (($false | $false | (v121(constB21, 0) <=> v124(constB21, 0))) <=> (v121(constB21, 0) <=> v124(constB21, 0))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25758,plain,
% 218.60/141.20 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB21, 0) <=> v124(constB21, 0))) <=> ($false | $false | (v121(constB21, 0) <=> v124(constB21, 0)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.20 tff(25759,plain,
% 218.60/141.20 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB21, 0) <=> v124(constB21, 0))) <=> (v121(constB21, 0) <=> v124(constB21, 0))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25758, 25757])).
% 218.60/141.20 tff(25760,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB21, 0) <=> v124(constB21, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 0) <=> v124(constB21, 0)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25759])).
% 218.60/141.20 tff(25761,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB21, 0) <=> v124(constB21, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 0) <=> v124(constB21, 0)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25760, 25756])).
% 218.60/141.20 tff(25762,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB21, 0) <=> v124(constB21, 0)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25763,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 0) <=> v124(constB21, 0))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25762, 25761])).
% 218.60/141.20 tff(25764,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25763, 25755, 25748])).
% 218.60/141.20 tff(25765,plain,(v121(constB21, 0) <=> v124(constB21, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25766,plain,
% 218.60/141.20 ((~(v121(constB21, 0) <=> v124(constB21, 0))) | v121(constB21, 0) | (~v124(constB21, 0))),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25767,plain,
% 218.60/141.20 (v121(constB21, 0) | (~v124(constB21, 0))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25766, 25765])).
% 218.60/141.20 tff(25768,plain,
% 218.60/141.20 (v121(constB21, 0)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25767, 25747])).
% 218.60/141.20 tff(25769,assumption,(~(v123(constB22, 0) <=> v121(constB21, 0))), introduced(assumption)).
% 218.60/141.20 tff(25770,plain,
% 218.60/141.20 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B))))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25771,plain,
% 218.60/141.20 (((~nextState(constB21, constB22)) | ![B: $int] : ((v123(constB22, B) <=> v121(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B))))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25772,plain,
% 218.60/141.20 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB21, constB22)) | ![B: $int] : ((v123(constB22, B) <=> v121(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25771])).
% 218.60/141.20 tff(25773,plain,
% 218.60/141.20 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB21, constB22)) | ![B: $int] : ((v123(constB22, B) <=> v121(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B))))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25772, 25770])).
% 218.60/141.20 tff(25774,plain,
% 218.60/141.20 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB21, constB22)) | ![B: $int] : ((v123(constB22, B) <=> v121(constB21, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25775,plain,
% 218.60/141.20 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB21, constB22)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25774, 25773])).
% 218.60/141.20 tff(25776,plain,
% 218.60/141.20 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25775, 25511, 1527])).
% 218.60/141.20 tff(25777,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 0) <=> v121(constB21, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 0) <=> v121(constB21, 0)))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25778,plain,
% 218.60/141.20 (($false | $false | (v123(constB22, 0) <=> v121(constB21, 0))) <=> (v123(constB22, 0) <=> v121(constB21, 0))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25779,plain,
% 218.60/141.20 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB22, 0) <=> v121(constB21, 0))) <=> ($false | $false | (v123(constB22, 0) <=> v121(constB21, 0)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.20 tff(25780,plain,
% 218.60/141.20 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB22, 0) <=> v121(constB21, 0))) <=> (v123(constB22, 0) <=> v121(constB21, 0))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25779, 25778])).
% 218.60/141.20 tff(25781,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB22, 0) <=> v121(constB21, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 0) <=> v121(constB21, 0)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25780])).
% 218.60/141.20 tff(25782,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB22, 0) <=> v121(constB21, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 0) <=> v121(constB21, 0)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25781, 25777])).
% 218.60/141.20 tff(25783,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB22, 0) <=> v121(constB21, 0)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25784,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 0) <=> v121(constB21, 0))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25783, 25782])).
% 218.60/141.20 tff(25785,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25784, 25776, 25769])).
% 218.60/141.20 tff(25786,plain,(v123(constB22, 0) <=> v121(constB21, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25787,plain,
% 218.60/141.20 ((~(v123(constB22, 0) <=> v121(constB21, 0))) | v123(constB22, 0) | (~v121(constB21, 0))),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25788,plain,
% 218.60/141.20 (v123(constB22, 0) | (~v121(constB21, 0))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25787, 25786])).
% 218.60/141.20 tff(25789,plain,
% 218.60/141.20 (v123(constB22, 0)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25788, 25768])).
% 218.60/141.20 tff(25790,plain,
% 218.60/141.20 ((~(v84(constB22, 0) <=> v123(constB22, 0))) | v84(constB22, 0) | (~v123(constB22, 0))),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25791,plain,
% 218.60/141.20 (v84(constB22, 0)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25790, 25789, 25732])).
% 218.60/141.20 tff(25792,assumption,(~(v84(constB23, 0) <=> v84(constB22, 0))), introduced(assumption)).
% 218.60/141.20 tff(25793,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 0) <=> v84(constB22, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 0) <=> v84(constB22, 0)))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25794,plain,
% 218.60/141.20 (($false | $false | (v84(constB23, 0) <=> v84(constB22, 0))) <=> (v84(constB23, 0) <=> v84(constB22, 0))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25795,plain,
% 218.60/141.20 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB23, 0) <=> v84(constB22, 0))) <=> ($false | $false | (v84(constB23, 0) <=> v84(constB22, 0)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.20 tff(25796,plain,
% 218.60/141.20 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB23, 0) <=> v84(constB22, 0))) <=> (v84(constB23, 0) <=> v84(constB22, 0))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25795, 25794])).
% 218.60/141.20 tff(25797,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB23, 0) <=> v84(constB22, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 0) <=> v84(constB22, 0)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25796])).
% 218.60/141.20 tff(25798,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB23, 0) <=> v84(constB22, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 0) <=> v84(constB22, 0)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25797, 25793])).
% 218.60/141.20 tff(25799,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB23, 0) <=> v84(constB22, 0)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25800,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB23, B) <=> v84(constB22, B)))) | (v84(constB23, 0) <=> v84(constB22, 0))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25799, 25798])).
% 218.60/141.20 tff(25801,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25800, 25461, 25792])).
% 218.60/141.20 tff(25802,plain,(v84(constB23, 0) <=> v84(constB22, 0)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25803,plain,
% 218.60/141.20 ((~(v84(constB23, 0) <=> v84(constB22, 0))) | v84(constB23, 0) | (~v84(constB22, 0))),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25804,plain,
% 218.60/141.20 (v84(constB23, 0) | (~v84(constB22, 0))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25803, 25802])).
% 218.60/141.20 tff(25805,plain,
% 218.60/141.20 (v84(constB23, 0)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25804, 25791])).
% 218.60/141.20 tff(25806,assumption,(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))), introduced(assumption)).
% 218.60/141.20 tff(25807,assumption,(v84(constB22, 2) <=> v123(constB22, 2)), introduced(assumption)).
% 218.60/141.20 tff(25808,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 2) <=> b001(2)))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25809,plain,
% 218.60/141.20 (($false | $false | (v124(constB21, 2) <=> b001(2))) <=> (v124(constB21, 2) <=> b001(2))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25810,plain,
% 218.60/141.20 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b001(2))) <=> ($false | $false | (v124(constB21, 2) <=> b001(2)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.20 tff(25811,plain,
% 218.60/141.20 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b001(2))) <=> (v124(constB21, 2) <=> b001(2))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25810, 25809])).
% 218.60/141.20 tff(25812,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 2) <=> b001(2)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25811])).
% 218.60/141.20 tff(25813,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 2) <=> b001(2)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25812, 25808])).
% 218.60/141.20 tff(25814,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b001(2)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25815,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 2) <=> b001(2))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25814, 25813])).
% 218.60/141.20 tff(25816,plain,
% 218.60/141.20 (v124(constB21, 2) <=> b001(2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25815, 25733])).
% 218.60/141.20 tff(25817,plain,
% 218.60/141.20 ((~(v124(constB21, 2) <=> b001(2))) | (~v124(constB21, 2)) | b001(2)),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25818,plain,
% 218.60/141.20 ((~(v124(constB21, 2) <=> b001(2))) | (~v124(constB21, 2))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25817, 1831])).
% 218.60/141.20 tff(25819,plain,
% 218.60/141.20 (~v124(constB21, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25818, 25816])).
% 218.60/141.20 tff(25820,assumption,(~(v121(constB21, 2) <=> v124(constB21, 2))), introduced(assumption)).
% 218.60/141.20 tff(25821,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 2) <=> v124(constB21, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 2) <=> v124(constB21, 2)))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25822,plain,
% 218.60/141.20 (($false | $false | (v121(constB21, 2) <=> v124(constB21, 2))) <=> (v121(constB21, 2) <=> v124(constB21, 2))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25823,plain,
% 218.60/141.20 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB21, 2) <=> v124(constB21, 2))) <=> ($false | $false | (v121(constB21, 2) <=> v124(constB21, 2)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.20 tff(25824,plain,
% 218.60/141.20 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB21, 2) <=> v124(constB21, 2))) <=> (v121(constB21, 2) <=> v124(constB21, 2))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25823, 25822])).
% 218.60/141.20 tff(25825,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB21, 2) <=> v124(constB21, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 2) <=> v124(constB21, 2)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25824])).
% 218.60/141.20 tff(25826,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB21, 2) <=> v124(constB21, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 2) <=> v124(constB21, 2)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25825, 25821])).
% 218.60/141.20 tff(25827,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB21, 2) <=> v124(constB21, 2)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25828,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 2) <=> v124(constB21, 2))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25827, 25826])).
% 218.60/141.20 tff(25829,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25828, 25755, 25820])).
% 218.60/141.20 tff(25830,plain,(v121(constB21, 2) <=> v124(constB21, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25831,plain,
% 218.60/141.20 ((~(v121(constB21, 2) <=> v124(constB21, 2))) | (~v121(constB21, 2)) | v124(constB21, 2)),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25832,plain,
% 218.60/141.20 ((~v121(constB21, 2)) | v124(constB21, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25831, 25830])).
% 218.60/141.20 tff(25833,plain,
% 218.60/141.20 (~v121(constB21, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25832, 25819])).
% 218.60/141.20 tff(25834,assumption,(~(v123(constB22, 2) <=> v121(constB21, 2))), introduced(assumption)).
% 218.60/141.20 tff(25835,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 2) <=> v121(constB21, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 2) <=> v121(constB21, 2)))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25836,plain,
% 218.60/141.20 (($false | $false | (v123(constB22, 2) <=> v121(constB21, 2))) <=> (v123(constB22, 2) <=> v121(constB21, 2))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25837,plain,
% 218.60/141.20 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB22, 2) <=> v121(constB21, 2))) <=> ($false | $false | (v123(constB22, 2) <=> v121(constB21, 2)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.20 tff(25838,plain,
% 218.60/141.20 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB22, 2) <=> v121(constB21, 2))) <=> (v123(constB22, 2) <=> v121(constB21, 2))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25837, 25836])).
% 218.60/141.20 tff(25839,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB22, 2) <=> v121(constB21, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 2) <=> v121(constB21, 2)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25838])).
% 218.60/141.20 tff(25840,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB22, 2) <=> v121(constB21, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 2) <=> v121(constB21, 2)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25839, 25835])).
% 218.60/141.20 tff(25841,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB22, 2) <=> v121(constB21, 2)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25842,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 2) <=> v121(constB21, 2))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25841, 25840])).
% 218.60/141.20 tff(25843,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25842, 25776, 25834])).
% 218.60/141.20 tff(25844,plain,(v123(constB22, 2) <=> v121(constB21, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25845,plain,
% 218.60/141.20 ((~(v123(constB22, 2) <=> v121(constB21, 2))) | (~v123(constB22, 2)) | v121(constB21, 2)),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25846,plain,
% 218.60/141.20 ((~v123(constB22, 2)) | v121(constB21, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25845, 25844])).
% 218.60/141.20 tff(25847,plain,
% 218.60/141.20 (~v123(constB22, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25846, 25833])).
% 218.60/141.20 tff(25848,plain,
% 218.60/141.20 ((~(v84(constB22, 2) <=> v123(constB22, 2))) | (~v84(constB22, 2)) | v123(constB22, 2)),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25849,plain,
% 218.60/141.20 (~v84(constB22, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25848, 25847, 25807])).
% 218.60/141.20 tff(25850,plain,
% 218.60/141.20 ((~(v84(constB23, 2) <=> v84(constB22, 2))) | (~v84(constB23, 2)) | v84(constB22, 2)),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25851,plain,
% 218.60/141.20 ((~v84(constB23, 2)) | v84(constB22, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25850, 25487])).
% 218.60/141.20 tff(25852,plain,
% 218.60/141.20 (~v84(constB23, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25851, 25849])).
% 218.60/141.20 tff(25853,assumption,(v84(constB22, 1) <=> v123(constB22, 1)), introduced(assumption)).
% 218.60/141.20 tff(25854,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 1) <=> b001(1)))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25855,plain,
% 218.60/141.20 (($false | $false | (v124(constB21, 1) <=> b001(1))) <=> (v124(constB21, 1) <=> b001(1))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25856,plain,
% 218.60/141.20 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b001(1))) <=> ($false | $false | (v124(constB21, 1) <=> b001(1)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.20 tff(25857,plain,
% 218.60/141.20 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b001(1))) <=> (v124(constB21, 1) <=> b001(1))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25856, 25855])).
% 218.60/141.20 tff(25858,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 1) <=> b001(1)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25857])).
% 218.60/141.20 tff(25859,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 1) <=> b001(1)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25858, 25854])).
% 218.60/141.20 tff(25860,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b001(1)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25861,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (v124(constB21, 1) <=> b001(1))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25860, 25859])).
% 218.60/141.20 tff(25862,plain,
% 218.60/141.20 (v124(constB21, 1) <=> b001(1)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25861, 25733])).
% 218.60/141.20 tff(25863,plain,
% 218.60/141.20 ((~(v124(constB21, 1) <=> b001(1))) | (~v124(constB21, 1)) | b001(1)),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25864,plain,
% 218.60/141.20 ((~(v124(constB21, 1) <=> b001(1))) | (~v124(constB21, 1))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25863, 1885])).
% 218.60/141.20 tff(25865,plain,
% 218.60/141.20 (~v124(constB21, 1)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25864, 25862])).
% 218.60/141.20 tff(25866,assumption,(~(v121(constB21, 1) <=> v124(constB21, 1))), introduced(assumption)).
% 218.60/141.20 tff(25867,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 1) <=> v124(constB21, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 1) <=> v124(constB21, 1)))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25868,plain,
% 218.60/141.20 (($false | $false | (v121(constB21, 1) <=> v124(constB21, 1))) <=> (v121(constB21, 1) <=> v124(constB21, 1))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25869,plain,
% 218.60/141.20 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB21, 1) <=> v124(constB21, 1))) <=> ($false | $false | (v121(constB21, 1) <=> v124(constB21, 1)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.20 tff(25870,plain,
% 218.60/141.20 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB21, 1) <=> v124(constB21, 1))) <=> (v121(constB21, 1) <=> v124(constB21, 1))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25869, 25868])).
% 218.60/141.20 tff(25871,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB21, 1) <=> v124(constB21, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 1) <=> v124(constB21, 1)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25870])).
% 218.60/141.20 tff(25872,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB21, 1) <=> v124(constB21, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 1) <=> v124(constB21, 1)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25871, 25867])).
% 218.60/141.20 tff(25873,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB21, 1) <=> v124(constB21, 1)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25874,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB21, B) <=> v124(constB21, B)))) | (v121(constB21, 1) <=> v124(constB21, 1))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25873, 25872])).
% 218.60/141.20 tff(25875,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25874, 25755, 25866])).
% 218.60/141.20 tff(25876,plain,(v121(constB21, 1) <=> v124(constB21, 1)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25877,plain,
% 218.60/141.20 ((~(v121(constB21, 1) <=> v124(constB21, 1))) | (~v121(constB21, 1)) | v124(constB21, 1)),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25878,plain,
% 218.60/141.20 ((~v121(constB21, 1)) | v124(constB21, 1)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25877, 25876])).
% 218.60/141.20 tff(25879,plain,
% 218.60/141.20 (~v121(constB21, 1)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25878, 25865])).
% 218.60/141.20 tff(25880,assumption,(~(v123(constB22, 1) <=> v121(constB21, 1))), introduced(assumption)).
% 218.60/141.20 tff(25881,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 1) <=> v121(constB21, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 1) <=> v121(constB21, 1)))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25882,plain,
% 218.60/141.20 (($false | $false | (v123(constB22, 1) <=> v121(constB21, 1))) <=> (v123(constB22, 1) <=> v121(constB21, 1))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25883,plain,
% 218.60/141.20 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB22, 1) <=> v121(constB21, 1))) <=> ($false | $false | (v123(constB22, 1) <=> v121(constB21, 1)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.20 tff(25884,plain,
% 218.60/141.20 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB22, 1) <=> v121(constB21, 1))) <=> (v123(constB22, 1) <=> v121(constB21, 1))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25883, 25882])).
% 218.60/141.20 tff(25885,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB22, 1) <=> v121(constB21, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 1) <=> v121(constB21, 1)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25884])).
% 218.60/141.20 tff(25886,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB22, 1) <=> v121(constB21, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 1) <=> v121(constB21, 1)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25885, 25881])).
% 218.60/141.20 tff(25887,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB22, 1) <=> v121(constB21, 1)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25888,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB22, B) <=> v121(constB21, B)))) | (v123(constB22, 1) <=> v121(constB21, 1))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25887, 25886])).
% 218.60/141.20 tff(25889,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25888, 25776, 25880])).
% 218.60/141.20 tff(25890,plain,(v123(constB22, 1) <=> v121(constB21, 1)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25891,plain,
% 218.60/141.20 ((~(v123(constB22, 1) <=> v121(constB21, 1))) | (~v123(constB22, 1)) | v121(constB21, 1)),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25892,plain,
% 218.60/141.20 ((~v123(constB22, 1)) | v121(constB21, 1)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25891, 25890])).
% 218.60/141.20 tff(25893,plain,
% 218.60/141.20 (~v123(constB22, 1)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25892, 25879])).
% 218.60/141.20 tff(25894,plain,
% 218.60/141.20 ((~(v84(constB22, 1) <=> v123(constB22, 1))) | (~v84(constB22, 1)) | v123(constB22, 1)),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25895,plain,
% 218.60/141.20 (~v84(constB22, 1)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25894, 25893, 25853])).
% 218.60/141.20 tff(25896,plain,
% 218.60/141.20 (~v84(constB23, 1)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25473, 25895])).
% 218.60/141.20 tff(25897,plain,
% 218.60/141.20 ((~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))) | v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25898,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25897, 25896, 25852, 25806, 25805])).
% 218.60/141.20 tff(25899,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))) | (~(v84(constB22, 1) <=> v123(constB22, 1))) | (~(v84(constB22, 2) <=> v123(constB22, 2))) | (~(v84(constB22, 0) <=> v123(constB22, 0)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25900,plain,
% 218.60/141.20 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25899, 25731, 25719, 25717, 25705])).
% 218.60/141.20 tff(25901,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))), introduced(assumption)).
% 218.60/141.20 tff(25902,assumption,(v113(constB21)), introduced(assumption)).
% 218.60/141.20 tff(25903,plain,
% 218.60/141.20 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25904,plain,
% 218.60/141.20 (((~v113(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25905,plain,
% 218.60/141.20 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25904])).
% 218.60/141.20 tff(25906,plain,
% 218.60/141.20 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25905, 25903])).
% 218.60/141.20 tff(25907,plain,
% 218.60/141.20 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25908,plain,
% 218.60/141.20 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25907, 25906])).
% 218.60/141.20 tff(25909,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25908, 2117, 25902, 25901])).
% 218.60/141.20 tff(25910,plain,((~v113(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25911,plain,
% 218.60/141.20 (~v113(constB21)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25910, 25900])).
% 218.60/141.20 tff(25912,assumption,(~(v113(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))))), introduced(assumption)).
% 218.60/141.20 tff(25913,plain,
% 218.60/141.20 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25914,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25913, 597, 25912])).
% 218.60/141.20 tff(25915,plain,(v113(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25916,plain,
% 218.60/141.20 ((~(v113(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))))) | v113(constB21) | (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25917,plain,
% 218.60/141.20 (v113(constB21) | (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25916, 25915])).
% 218.60/141.20 tff(25918,plain,
% 218.60/141.20 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25917, 25911])).
% 218.60/141.20 tff(25919,plain,
% 218.60/141.20 ((~(v84(constB22, 2) <=> v123(constB22, 2))) | v84(constB22, 2) | (~v123(constB22, 2))),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25920,plain,
% 218.60/141.20 (~v123(constB22, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25919, 25717, 25490])).
% 218.60/141.20 tff(25921,plain,
% 218.60/141.20 ((~(v123(constB22, 2) <=> v121(constB21, 2))) | v123(constB22, 2) | (~v121(constB21, 2))),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25922,plain,
% 218.60/141.20 (v123(constB22, 2) | (~v121(constB21, 2))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25921, 25844])).
% 218.60/141.20 tff(25923,plain,
% 218.60/141.20 (~v121(constB21, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25922, 25920])).
% 218.60/141.20 tff(25924,plain,
% 218.60/141.20 ((~(v121(constB21, 2) <=> v124(constB21, 2))) | v121(constB21, 2) | (~v124(constB21, 2))),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25925,plain,
% 218.60/141.20 (v121(constB21, 2) | (~v124(constB21, 2))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25924, 25830])).
% 218.60/141.20 tff(25926,plain,
% 218.60/141.20 (~v124(constB21, 2)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25925, 25923])).
% 218.60/141.20 tff(25927,assumption,(~v124(constB21, 2)), introduced(assumption)).
% 218.60/141.20 tff(25928,plain,
% 218.60/141.20 ((~(v124(constB21, 2) <=> b101(2))) | v124(constB21, 2) | (~b101(2))),
% 218.60/141.20 inference(tautology,[status(thm)],[])).
% 218.60/141.20 tff(25929,plain,
% 218.60/141.20 (~(v124(constB21, 2) <=> b101(2))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25928, 2354, 25927])).
% 218.60/141.20 tff(25930,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))), introduced(assumption)).
% 218.60/141.20 tff(25931,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 2) <=> b101(2)))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25932,plain,
% 218.60/141.20 (($false | $false | (v124(constB21, 2) <=> b101(2))) <=> (v124(constB21, 2) <=> b101(2))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25933,plain,
% 218.60/141.20 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b101(2))) <=> ($false | $false | (v124(constB21, 2) <=> b101(2)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.20 tff(25934,plain,
% 218.60/141.20 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b101(2))) <=> (v124(constB21, 2) <=> b101(2))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25933, 25932])).
% 218.60/141.20 tff(25935,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 2) <=> b101(2)))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25934])).
% 218.60/141.20 tff(25936,plain,
% 218.60/141.20 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 2) <=> b101(2)))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25935, 25931])).
% 218.60/141.20 tff(25937,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b101(2)))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25938,plain,
% 218.60/141.20 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 2) <=> b101(2))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25937, 25936])).
% 218.60/141.20 tff(25939,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25938, 25930, 25929])).
% 218.60/141.20 tff(25940,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | v124(constB21, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25941,plain,
% 218.60/141.20 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25940, 25926])).
% 218.60/141.20 tff(25942,assumption,(v117(constB21)), introduced(assumption)).
% 218.60/141.20 tff(25943,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))), introduced(assumption)).
% 218.60/141.20 tff(25944,plain,
% 218.60/141.20 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B))))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25945,plain,
% 218.60/141.20 (((~v117(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B))))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25946,plain,
% 218.60/141.20 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))))),
% 218.60/141.20 inference(monotonicity,[status(thm)],[25945])).
% 218.60/141.20 tff(25947,plain,
% 218.60/141.20 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B))))),
% 218.60/141.20 inference(transitivity,[status(thm)],[25946, 25944])).
% 218.60/141.20 tff(25948,plain,
% 218.60/141.20 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.20 inference(quant_inst,[status(thm)],[])).
% 218.60/141.20 tff(25949,plain,
% 218.60/141.20 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))),
% 218.60/141.20 inference(modus_ponens,[status(thm)],[25948, 25947])).
% 218.60/141.20 tff(25950,plain,
% 218.60/141.20 ($false),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25949, 2090, 25943, 25942])).
% 218.60/141.20 tff(25951,plain,((~v117(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.20 tff(25952,plain,
% 218.60/141.20 (~v117(constB21)),
% 218.60/141.20 inference(unit_resolution,[status(thm)],[25951, 25941])).
% 218.60/141.20 tff(25953,assumption,(~(v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))))), introduced(assumption)).
% 218.60/141.20 tff(25954,plain,
% 218.60/141.20 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))))))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25955,plain,
% 218.60/141.20 ((v117(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | (~v84(constB21, 2))))) <=> (v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))))),
% 218.60/141.20 inference(rewrite,[status(thm)],[])).
% 218.60/141.20 tff(25956,plain,
% 218.60/141.20 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | (~v84(constB21, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))))))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[25955])).
% 218.60/141.21 tff(25957,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | (~v84(constB21, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))))))),
% 218.60/141.21 inference(transitivity,[status(thm)],[25956, 25954])).
% 218.60/141.21 tff(25958,plain,
% 218.60/141.21 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | (~v84(constB21, 2)))))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(25959,plain,
% 218.60/141.21 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))))),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[25958, 25957])).
% 218.60/141.21 tff(25960,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25959, 656, 25953])).
% 218.60/141.21 tff(25961,plain,(v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(25962,plain,
% 218.60/141.21 ((~(v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))))) | v117(constB21) | (v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(25963,plain,
% 218.60/141.21 (v117(constB21) | (v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25962, 25961])).
% 218.60/141.21 tff(25964,plain,
% 218.60/141.21 (v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25963, 25952])).
% 218.60/141.21 tff(25965,plain,
% 218.60/141.21 ((~(v124(constB21, 2) <=> b110(2))) | v124(constB21, 2) | (~b110(2))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(25966,plain,
% 218.60/141.21 (~(v124(constB21, 2) <=> b110(2))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25965, 1598, 25927])).
% 218.60/141.21 tff(25967,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))), introduced(assumption)).
% 218.60/141.21 tff(25968,plain,
% 218.60/141.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 2) <=> b110(2)))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(25969,plain,
% 218.60/141.21 (($false | $false | (v124(constB21, 2) <=> b110(2))) <=> (v124(constB21, 2) <=> b110(2))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(25970,plain,
% 218.60/141.21 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b110(2))) <=> ($false | $false | (v124(constB21, 2) <=> b110(2)))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.21 tff(25971,plain,
% 218.60/141.21 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b110(2))) <=> (v124(constB21, 2) <=> b110(2))),
% 218.60/141.21 inference(transitivity,[status(thm)],[25970, 25969])).
% 218.60/141.21 tff(25972,plain,
% 218.60/141.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 2) <=> b110(2)))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[25971])).
% 218.60/141.21 tff(25973,plain,
% 218.60/141.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 2) <=> b110(2)))),
% 218.60/141.21 inference(transitivity,[status(thm)],[25972, 25968])).
% 218.60/141.21 tff(25974,plain,
% 218.60/141.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b110(2)))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(25975,plain,
% 218.60/141.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 2) <=> b110(2))),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[25974, 25973])).
% 218.60/141.21 tff(25976,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25975, 25967, 25966])).
% 218.60/141.21 tff(25977,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | v124(constB21, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(25978,plain,
% 218.60/141.21 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25977, 25926])).
% 218.60/141.21 tff(25979,assumption,(v118(constB21)), introduced(assumption)).
% 218.60/141.21 tff(25980,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))), introduced(assumption)).
% 218.60/141.21 tff(25981,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(25982,plain,
% 218.60/141.21 (((~v118(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(25983,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[25982])).
% 218.60/141.21 tff(25984,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B))))),
% 218.60/141.21 inference(transitivity,[status(thm)],[25983, 25981])).
% 218.60/141.21 tff(25985,plain,
% 218.60/141.21 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(25986,plain,
% 218.60/141.21 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[25985, 25984])).
% 218.60/141.21 tff(25987,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25986, 1977, 25980, 25979])).
% 218.60/141.21 tff(25988,plain,((~v118(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(25989,plain,
% 218.60/141.21 (~v118(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25988, 25978])).
% 218.60/141.21 tff(25990,assumption,(~(v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))))), introduced(assumption)).
% 218.60/141.21 tff(25991,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(25992,plain,
% 218.60/141.21 ((v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | (~v84(constB21, 2))))) <=> (v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(25993,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | (~v84(constB21, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))))))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[25992])).
% 218.60/141.21 tff(25994,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | (~v84(constB21, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))))))),
% 218.60/141.21 inference(transitivity,[status(thm)],[25993, 25991])).
% 218.60/141.21 tff(25995,plain,
% 218.60/141.21 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | (~v84(constB21, 2)))))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(25996,plain,
% 218.60/141.21 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))))),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[25995, 25994])).
% 218.60/141.21 tff(25997,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25996, 394, 25990])).
% 218.60/141.21 tff(25998,plain,(v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(25999,plain,
% 218.60/141.21 ((~(v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))))) | v118(constB21) | (v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26000,plain,
% 218.60/141.21 (v118(constB21) | (v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25999, 25998])).
% 218.60/141.21 tff(26001,plain,
% 218.60/141.21 (v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26000, 25989])).
% 218.60/141.21 tff(26002,plain,
% 218.60/141.21 (((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))) | v84(constB23, 0)),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26003,plain,
% 218.60/141.21 (v84(constB23, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26002, 25424])).
% 218.60/141.21 tff(26004,plain,
% 218.60/141.21 ((~(v84(constB23, 0) <=> v84(constB22, 0))) | (~v84(constB23, 0)) | v84(constB22, 0)),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26005,plain,
% 218.60/141.21 ((~v84(constB23, 0)) | v84(constB22, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26004, 25802])).
% 218.60/141.21 tff(26006,plain,
% 218.60/141.21 (v84(constB22, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26005, 26003])).
% 218.60/141.21 tff(26007,plain,
% 218.60/141.21 ((~(v84(constB22, 0) <=> v123(constB22, 0))) | (~v84(constB22, 0)) | v123(constB22, 0)),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26008,plain,
% 218.60/141.21 (v123(constB22, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26007, 25705, 26006])).
% 218.60/141.21 tff(26009,plain,
% 218.60/141.21 ((~(v123(constB22, 0) <=> v121(constB21, 0))) | (~v123(constB22, 0)) | v121(constB21, 0)),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26010,plain,
% 218.60/141.21 ((~v123(constB22, 0)) | v121(constB21, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26009, 25786])).
% 218.60/141.21 tff(26011,plain,
% 218.60/141.21 (v121(constB21, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26010, 26008])).
% 218.60/141.21 tff(26012,plain,
% 218.60/141.21 ((~(v121(constB21, 0) <=> v124(constB21, 0))) | (~v121(constB21, 0)) | v124(constB21, 0)),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26013,plain,
% 218.60/141.21 ((~v121(constB21, 0)) | v124(constB21, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26012, 25765])).
% 218.60/141.21 tff(26014,plain,
% 218.60/141.21 (v124(constB21, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26013, 26011])).
% 218.60/141.21 tff(26015,assumption,(v124(constB21, 0)), introduced(assumption)).
% 218.60/141.21 tff(26016,plain,
% 218.60/141.21 ((~(v124(constB21, 0) <=> b010(0))) | (~v124(constB21, 0)) | b010(0)),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26017,plain,
% 218.60/141.21 (~(v124(constB21, 0) <=> b010(0))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26016, 2437, 26015])).
% 218.60/141.21 tff(26018,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))), introduced(assumption)).
% 218.60/141.21 tff(26019,plain,
% 218.60/141.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 0) <=> b010(0)))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26020,plain,
% 218.60/141.21 (($false | $false | (v124(constB21, 0) <=> b010(0))) <=> (v124(constB21, 0) <=> b010(0))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26021,plain,
% 218.60/141.21 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b010(0))) <=> ($false | $false | (v124(constB21, 0) <=> b010(0)))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[250, 249])).
% 218.60/141.21 tff(26022,plain,
% 218.60/141.21 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b010(0))) <=> (v124(constB21, 0) <=> b010(0))),
% 218.60/141.21 inference(transitivity,[status(thm)],[26021, 26020])).
% 218.60/141.21 tff(26023,plain,
% 218.60/141.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 0) <=> b010(0)))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[26022])).
% 218.60/141.21 tff(26024,plain,
% 218.60/141.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 0) <=> b010(0)))),
% 218.60/141.21 inference(transitivity,[status(thm)],[26023, 26019])).
% 218.60/141.21 tff(26025,plain,
% 218.60/141.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b010(0)))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(26026,plain,
% 218.60/141.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 0) <=> b010(0))),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[26025, 26024])).
% 218.60/141.21 tff(26027,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26026, 26018, 26017])).
% 218.60/141.21 tff(26028,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (~v124(constB21, 0))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(26029,plain,
% 218.60/141.21 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26028, 26014])).
% 218.60/141.21 tff(26030,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))), introduced(assumption)).
% 218.60/141.21 tff(26031,assumption,(v114(constB21)), introduced(assumption)).
% 218.60/141.21 tff(26032,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26033,plain,
% 218.60/141.21 (((~v114(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26034,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[26033])).
% 218.60/141.21 tff(26035,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B))))),
% 218.60/141.21 inference(transitivity,[status(thm)],[26034, 26032])).
% 218.60/141.21 tff(26036,plain,
% 218.60/141.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(26037,plain,
% 218.60/141.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[26036, 26035])).
% 218.60/141.21 tff(26038,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26037, 2418, 26031, 26030])).
% 218.60/141.21 tff(26039,plain,((~v114(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(26040,plain,
% 218.60/141.21 (~v114(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26039, 26029])).
% 218.60/141.21 tff(26041,assumption,(~(v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))))), introduced(assumption)).
% 218.60/141.21 tff(26042,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26043,plain,
% 218.60/141.21 ((v114(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 2) | (~v84(constB21, 0))))) <=> (v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26044,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 2) | (~v84(constB21, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)))))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[26043])).
% 218.60/141.21 tff(26045,plain,
% 218.60/141.21 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 2) | (~v84(constB21, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)))))),
% 218.60/141.21 inference(transitivity,[status(thm)],[26044, 26042])).
% 218.60/141.21 tff(26046,plain,
% 218.60/141.21 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 2) | (~v84(constB21, 0)))))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(26047,plain,
% 218.60/141.21 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))))),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[26046, 26045])).
% 218.60/141.21 tff(26048,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26047, 298, 26041])).
% 218.60/141.21 tff(26049,plain,(v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(26050,plain,
% 218.60/141.21 ((~(v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))))) | v114(constB21) | (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26051,plain,
% 218.60/141.21 (v114(constB21) | (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26050, 26049])).
% 218.60/141.21 tff(26052,plain,
% 218.60/141.21 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26051, 26040])).
% 218.60/141.21 tff(26053,assumption,(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)), introduced(assumption)).
% 218.60/141.21 tff(26054,assumption,(~v84(constB21, 1)), introduced(assumption)).
% 218.60/141.21 tff(26055,assumption,(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)), introduced(assumption)).
% 218.60/141.21 tff(26056,assumption,(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))), introduced(assumption)).
% 218.60/141.21 tff(26057,assumption,(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))), introduced(assumption)).
% 218.60/141.21 tff(26058,assumption,(v84(constB21, 2)), introduced(assumption)).
% 218.60/141.21 tff(26059,assumption,(~v84(constB21, 0)), introduced(assumption)).
% 218.60/141.21 tff(26060,plain,
% 218.60/141.21 ((~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))) | v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26061,plain,
% 218.60/141.21 (~v84(constB21, 2)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26060, 26054, 26059, 26057])).
% 218.60/141.21 tff(26062,plain,
% 218.60/141.21 ((~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))) | v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26063,plain,
% 218.60/141.21 ((~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))) | v84(constB21, 1) | v84(constB21, 2)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26062, 26059])).
% 218.60/141.21 tff(26064,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26063, 26061, 26054, 26055])).
% 218.60/141.21 tff(26065,plain,(v84(constB21, 1) | (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))) | v84(constB21, 0) | (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(26066,plain,
% 218.60/141.21 (v84(constB21, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26065, 26054, 26057, 26055])).
% 218.60/141.21 tff(26067,plain,
% 218.60/141.21 ((~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))) | v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26068,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26067, 26066, 26054, 26058, 26056])).
% 218.60/141.21 tff(26069,plain,(v84(constB21, 1) | (~v84(constB21, 2)) | (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))) | (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))) | (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(26070,plain,
% 218.60/141.21 (~v84(constB21, 2)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26069, 26054, 26057, 26056, 26055])).
% 218.60/141.21 tff(26071,plain,
% 218.60/141.21 ((v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))) | v84(constB21, 2)),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26072,plain,
% 218.60/141.21 (v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26071, 25574])).
% 218.60/141.21 tff(26073,plain,
% 218.60/141.21 ((~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))) | v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26074,plain,
% 218.60/141.21 (~v84(constB21, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26073, 25574, 26053, 26054])).
% 218.60/141.21 tff(26075,plain,
% 218.60/141.21 (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26065, 26074, 26054, 26072])).
% 218.60/141.21 tff(26076,plain,
% 218.60/141.21 (v113(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25917, 26075])).
% 218.60/141.21 tff(26077,plain,
% 218.60/141.21 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB21) <=> (v113(constB21) | v114(constB21)))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(26078,plain,
% 218.60/141.21 (v112(constB21) <=> (v113(constB21) | v114(constB21))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26077, 283])).
% 218.60/141.21 tff(26079,plain,
% 218.60/141.21 (v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26047, 298])).
% 218.60/141.21 tff(26080,assumption,(~v94(constB22)), introduced(assumption)).
% 218.60/141.21 tff(26081,plain,
% 218.60/141.21 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25534, 26080])).
% 218.60/141.21 tff(26082,plain,
% 218.60/141.21 (v84(constB22, 1) <=> v84(constB21, 1)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25543, 26081])).
% 218.60/141.21 tff(26083,plain,
% 218.60/141.21 ((~(v84(constB22, 1) <=> v84(constB21, 1))) | (~v84(constB22, 1))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25546, 26054])).
% 218.60/141.21 tff(26084,plain,
% 218.60/141.21 (~v84(constB22, 1)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26083, 26082])).
% 218.60/141.21 tff(26085,plain,
% 218.60/141.21 ((v113(constB21) | v114(constB21)) | (~v114(constB21))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26086,plain,
% 218.60/141.21 (v113(constB21) | v114(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26085, 26031])).
% 218.60/141.21 tff(26087,plain,
% 218.60/141.21 ((~(v112(constB21) <=> (v113(constB21) | v114(constB21)))) | v112(constB21) | (~(v113(constB21) | v114(constB21)))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26088,plain,
% 218.60/141.21 ((~(v112(constB21) <=> (v113(constB21) | v114(constB21)))) | v112(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26087, 26086])).
% 218.60/141.21 tff(26089,plain,
% 218.60/141.21 (v112(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26088, 26078])).
% 218.60/141.21 tff(26090,plain,
% 218.60/141.21 ((v112(constB21) | v115(constB21)) | (~v112(constB21))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26091,plain,
% 218.60/141.21 (v112(constB21) | v115(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26090, 26089])).
% 218.60/141.21 tff(26092,plain,
% 218.60/141.21 (v111(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25590, 26091, 25587])).
% 218.60/141.21 tff(26093,plain,
% 218.60/141.21 (v111(constB21) | v116(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25588, 26092])).
% 218.60/141.21 tff(26094,plain,
% 218.60/141.21 (v110(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25601, 26093, 25492])).
% 218.60/141.21 tff(26095,plain,
% 218.60/141.21 (v110(constB21) | v117(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25636, 26094])).
% 218.60/141.21 tff(26096,plain,
% 218.60/141.21 (v109(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25633, 26095, 25605])).
% 218.60/141.21 tff(26097,plain,
% 218.60/141.21 (v109(constB21) | v118(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25631, 26096])).
% 218.60/141.21 tff(26098,plain,
% 218.60/141.21 (v108(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25628, 26097, 25607])).
% 218.60/141.21 tff(26099,plain,
% 218.60/141.21 (v108(constB21) | v119(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25626, 26098])).
% 218.60/141.21 tff(26100,plain,
% 218.60/141.21 (v107(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25623, 26099, 25609])).
% 218.60/141.21 tff(26101,plain,
% 218.60/141.21 (~((~v107(constB21)) | (~v120(constB21)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25621, 26100])).
% 218.60/141.21 tff(26102,plain,
% 218.60/141.21 (v106(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25613, 26101])).
% 218.60/141.21 tff(26103,plain,
% 218.60/141.21 (v105(constB21) | v106(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25640, 26102])).
% 218.60/141.21 tff(26104,plain,
% 218.60/141.21 (v102(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25643, 26103])).
% 218.60/141.21 tff(26105,plain,
% 218.60/141.21 (v104(constB22)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25646, 26104])).
% 218.60/141.21 tff(26106,plain,
% 218.60/141.21 (~((~v95(constB22)) | (~v104(constB22)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25680, 26105])).
% 218.60/141.21 tff(26107,plain,
% 218.60/141.21 (v94(constB22)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25683, 26106])).
% 218.60/141.21 tff(26108,plain,
% 218.60/141.21 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25691, 26107])).
% 218.60/141.21 tff(26109,plain,
% 218.60/141.21 (v84(constB22, 1) <=> v123(constB22, 1)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25728, 26108])).
% 218.60/141.21 tff(26110,assumption,(~v84(constB22, 1)), introduced(assumption)).
% 218.60/141.21 tff(26111,plain,
% 218.60/141.21 ((~(v84(constB22, 1) <=> v123(constB22, 1))) | v84(constB22, 1) | (~v123(constB22, 1))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26112,plain,
% 218.60/141.21 ((~(v84(constB22, 1) <=> v123(constB22, 1))) | (~v123(constB22, 1))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26111, 26110])).
% 218.60/141.21 tff(26113,plain,
% 218.60/141.21 (~v123(constB22, 1)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26112, 26109])).
% 218.60/141.21 tff(26114,plain,
% 218.60/141.21 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26037, 2418, 26031])).
% 218.60/141.21 tff(26115,plain,
% 218.60/141.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 1) <=> b010(1)))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26116,plain,
% 218.60/141.21 (($false | $false | (v124(constB21, 1) <=> b010(1))) <=> (v124(constB21, 1) <=> b010(1))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26117,plain,
% 218.60/141.21 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b010(1))) <=> ($false | $false | (v124(constB21, 1) <=> b010(1)))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.21 tff(26118,plain,
% 218.60/141.21 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b010(1))) <=> (v124(constB21, 1) <=> b010(1))),
% 218.60/141.21 inference(transitivity,[status(thm)],[26117, 26116])).
% 218.60/141.21 tff(26119,plain,
% 218.60/141.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 1) <=> b010(1)))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[26118])).
% 218.60/141.21 tff(26120,plain,
% 218.60/141.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 1) <=> b010(1)))),
% 218.60/141.21 inference(transitivity,[status(thm)],[26119, 26115])).
% 218.60/141.21 tff(26121,plain,
% 218.60/141.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b010(1)))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(26122,plain,
% 218.60/141.21 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 1) <=> b010(1))),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[26121, 26120])).
% 218.60/141.21 tff(26123,plain,
% 218.60/141.21 (v124(constB21, 1) <=> b010(1)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26122, 26114])).
% 218.60/141.21 tff(26124,plain,
% 218.60/141.21 ((~(v124(constB21, 1) <=> b010(1))) | v124(constB21, 1) | (~b010(1))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26125,plain,
% 218.60/141.21 ((~(v124(constB21, 1) <=> b010(1))) | v124(constB21, 1)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26124, 2513])).
% 218.60/141.21 tff(26126,plain,
% 218.60/141.21 (v124(constB21, 1)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26125, 26123])).
% 218.60/141.21 tff(26127,plain,
% 218.60/141.21 ((~(v121(constB21, 1) <=> v124(constB21, 1))) | v121(constB21, 1) | (~v124(constB21, 1))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26128,plain,
% 218.60/141.21 (v121(constB21, 1) | (~v124(constB21, 1))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26127, 25876])).
% 218.60/141.21 tff(26129,plain,
% 218.60/141.21 (v121(constB21, 1)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26128, 26126])).
% 218.60/141.21 tff(26130,plain,
% 218.60/141.21 ((~(v123(constB22, 1) <=> v121(constB21, 1))) | v123(constB22, 1) | (~v121(constB21, 1))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26131,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26130, 26129, 26113, 25890])).
% 218.60/141.21 tff(26132,plain,((~v114(constB21)) | v84(constB22, 1)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(26133,plain,
% 218.60/141.21 (~v114(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26132, 26084])).
% 218.60/141.21 tff(26134,plain,
% 218.60/141.21 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26050, 26133, 26079])).
% 218.60/141.21 tff(26135,plain,
% 218.60/141.21 (~v84(constB21, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26073, 26134, 26054, 25574])).
% 218.60/141.21 tff(26136,plain,
% 218.60/141.21 (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26065, 26135, 26054, 26072])).
% 218.60/141.21 tff(26137,plain,
% 218.60/141.21 (v113(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25917, 26136])).
% 218.60/141.21 tff(26138,plain,
% 218.60/141.21 ((v113(constB21) | v114(constB21)) | (~v113(constB21))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26139,plain,
% 218.60/141.21 (v113(constB21) | v114(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26138, 26137])).
% 218.60/141.21 tff(26140,plain,
% 218.60/141.21 ((~(v112(constB21) <=> (v113(constB21) | v114(constB21)))) | v112(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26087, 26139])).
% 218.60/141.21 tff(26141,plain,
% 218.60/141.21 (v112(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26140, 26078])).
% 218.60/141.21 tff(26142,plain,
% 218.60/141.21 (v112(constB21) | v115(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26090, 26141])).
% 218.60/141.21 tff(26143,plain,
% 218.60/141.21 ((~v95(constB22)) | (~v104(constB22))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25683, 26080])).
% 218.60/141.21 tff(26144,plain,
% 218.60/141.21 (~v104(constB22)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25680, 26143])).
% 218.60/141.21 tff(26145,plain,
% 218.60/141.21 (~v102(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25646, 26144])).
% 218.60/141.21 tff(26146,plain,
% 218.60/141.21 (~(v105(constB21) | v106(constB21))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25643, 26145])).
% 218.60/141.21 tff(26147,plain,
% 218.60/141.21 (~v106(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25640, 26146])).
% 218.60/141.21 tff(26148,plain,
% 218.60/141.21 ((~v107(constB21)) | (~v120(constB21))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25613, 26147])).
% 218.60/141.21 tff(26149,plain,
% 218.60/141.21 (~v107(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25621, 26148])).
% 218.60/141.21 tff(26150,plain,
% 218.60/141.21 ((~(v107(constB21) <=> (v108(constB21) | v119(constB21)))) | (~(v108(constB21) | v119(constB21)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25623, 26149])).
% 218.60/141.21 tff(26151,plain,
% 218.60/141.21 (~(v108(constB21) | v119(constB21))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26150, 25609])).
% 218.60/141.21 tff(26152,plain,
% 218.60/141.21 (~v108(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25626, 26151])).
% 218.60/141.21 tff(26153,plain,
% 218.60/141.21 ((~(v108(constB21) <=> (v109(constB21) | v118(constB21)))) | (~(v109(constB21) | v118(constB21)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25628, 26152])).
% 218.60/141.21 tff(26154,plain,
% 218.60/141.21 (~(v109(constB21) | v118(constB21))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26153, 25607])).
% 218.60/141.21 tff(26155,plain,
% 218.60/141.21 (~v109(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25631, 26154])).
% 218.60/141.21 tff(26156,plain,
% 218.60/141.21 ((~(v109(constB21) <=> (v110(constB21) | v117(constB21)))) | (~(v110(constB21) | v117(constB21)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25633, 26155])).
% 218.60/141.21 tff(26157,plain,
% 218.60/141.21 (~(v110(constB21) | v117(constB21))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26156, 25605])).
% 218.60/141.21 tff(26158,plain,
% 218.60/141.21 (~v110(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25636, 26157])).
% 218.60/141.21 tff(26159,plain,
% 218.60/141.21 ((~(v110(constB21) <=> (v111(constB21) | v116(constB21)))) | (~(v111(constB21) | v116(constB21)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25601, 26158])).
% 218.60/141.21 tff(26160,plain,
% 218.60/141.21 (~(v111(constB21) | v116(constB21))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26159, 25492])).
% 218.60/141.21 tff(26161,plain,
% 218.60/141.21 (~v111(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25588, 26160])).
% 218.60/141.21 tff(26162,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25590, 26161, 26142, 25587])).
% 218.60/141.21 tff(26163,plain,(v94(constB22) | v84(constB21, 1) | v84(constB21, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(26164,plain,
% 218.60/141.21 (v94(constB22)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26163, 25574, 26054])).
% 218.60/141.21 tff(26165,plain,
% 218.60/141.21 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25691, 26164])).
% 218.60/141.21 tff(26166,plain,
% 218.60/141.21 (v84(constB22, 0) <=> v123(constB22, 0)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25704, 26165])).
% 218.60/141.21 tff(26167,plain,
% 218.60/141.21 (v84(constB22, 2) <=> v123(constB22, 2)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25716, 26165])).
% 218.60/141.21 tff(26168,plain,
% 218.60/141.21 (v84(constB22, 1) <=> v123(constB22, 1)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25730, 26165])).
% 218.60/141.21 tff(26169,plain,
% 218.60/141.21 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25899, 26168, 25806, 26167, 26166])).
% 218.60/141.21 tff(26170,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[25910, 26169, 26076])).
% 218.60/141.21 tff(26171,plain,(v84(constB21, 2) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))) | v84(constB21, 1) | (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(26172,plain,
% 218.60/141.21 ($false),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26171, 26070, 26054, 25806, 26053])).
% 218.60/141.21 tff(26173,plain,(v84(constB21, 1) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))) | (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))) | (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))) | (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))) | (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.21 tff(26174,plain,
% 218.60/141.21 (v84(constB21, 1)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26173, 26052, 26001, 25964, 25719, 25918])).
% 218.60/141.21 tff(26175,assumption,(~(v84(constB21, 1) <=> v84(constB20, 1))), introduced(assumption)).
% 218.60/141.21 tff(26176,plain,
% 218.60/141.21 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26177,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20')).
% 218.60/141.21 tff(26178,plain,
% 218.60/141.21 (nextState(constB20, constB21)),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[26177, 26176])).
% 218.60/141.21 tff(26179,plain,
% 218.60/141.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21))))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26180,plain,
% 218.60/141.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21))))))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(26181,plain,
% 218.60/141.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21)))))),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[26180, 26179])).
% 218.60/141.21 tff(26182,plain,
% 218.60/141.21 (v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21))))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26181, 26178, 14])).
% 218.60/141.21 tff(26183,plain,
% 218.60/141.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26184,plain,
% 218.60/141.21 (((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21)))))) <=> ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26185,plain,
% 218.60/141.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[26184])).
% 218.60/141.21 tff(26186,plain,
% 218.60/141.21 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))),
% 218.60/141.21 inference(transitivity,[status(thm)],[26185, 26183])).
% 218.60/141.21 tff(26187,plain,
% 218.60/141.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21))))))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(26188,plain,
% 218.60/141.21 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[26187, 26186])).
% 218.60/141.21 tff(26189,plain,
% 218.60/141.21 (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26188, 26178, 37])).
% 218.60/141.21 tff(26190,plain,
% 218.60/141.21 (((~v1(constB21)) | (~v96(constB21))) | v1(constB21)),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26191,plain,
% 218.60/141.21 ((~v1(constB21)) | (~v96(constB21))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26190, 25665])).
% 218.60/141.21 tff(26192,plain,
% 218.60/141.21 ((~(v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))) | (~v95(constB21)) | (~((~v1(constB21)) | (~v96(constB21))))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26193,plain,
% 218.60/141.21 ((~(v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))) | (~v95(constB21))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26192, 26191])).
% 218.60/141.21 tff(26194,plain,
% 218.60/141.21 (~v95(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26193, 26189])).
% 218.60/141.21 tff(26195,plain,
% 218.60/141.21 (((~v95(constB21)) | (~v104(constB21))) | v95(constB21)),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26196,plain,
% 218.60/141.21 ((~v95(constB21)) | (~v104(constB21))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26195, 26194])).
% 218.60/141.21 tff(26197,plain,
% 218.60/141.21 ((~(v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21)))))) | (~v94(constB21)) | (~((~v95(constB21)) | (~v104(constB21))))),
% 218.60/141.21 inference(tautology,[status(thm)],[])).
% 218.60/141.21 tff(26198,plain,
% 218.60/141.21 (~v94(constB21)),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26197, 26196, 26182])).
% 218.60/141.21 tff(26199,plain,
% 218.60/141.21 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB21) | (~nextState(constB20, constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB21) | (~nextState(constB20, constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26200,plain,
% 218.60/141.21 ((v94(constB21) | (~nextState(constB20, constB21)) | ![B: $int] : ((v84(constB21, B) <=> v84(constB20, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB21) | (~nextState(constB20, constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B))))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26201,plain,
% 218.60/141.21 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB21) | (~nextState(constB20, constB21)) | ![B: $int] : ((v84(constB21, B) <=> v84(constB20, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB21) | (~nextState(constB20, constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[26200])).
% 218.60/141.21 tff(26202,plain,
% 218.60/141.21 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB21) | (~nextState(constB20, constB21)) | ![B: $int] : ((v84(constB21, B) <=> v84(constB20, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB21) | (~nextState(constB20, constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B))))),
% 218.60/141.21 inference(transitivity,[status(thm)],[26201, 26199])).
% 218.60/141.21 tff(26203,plain,
% 218.60/141.21 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB21) | (~nextState(constB20, constB21)) | ![B: $int] : ((v84(constB21, B) <=> v84(constB20, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.21 inference(quant_inst,[status(thm)],[])).
% 218.60/141.21 tff(26204,plain,
% 218.60/141.21 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB21) | (~nextState(constB20, constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))),
% 218.60/141.21 inference(modus_ponens,[status(thm)],[26203, 26202])).
% 218.60/141.21 tff(26205,plain,
% 218.60/141.21 (v94(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26204, 26178, 235])).
% 218.60/141.21 tff(26206,plain,
% 218.60/141.21 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))),
% 218.60/141.21 inference(unit_resolution,[status(thm)],[26205, 26198])).
% 218.60/141.21 tff(26207,plain,
% 218.60/141.21 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 1) <=> v84(constB20, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 1) <=> v84(constB20, 1)))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26208,plain,
% 218.60/141.21 (($false | $false | (v84(constB21, 1) <=> v84(constB20, 1))) <=> (v84(constB21, 1) <=> v84(constB20, 1))),
% 218.60/141.21 inference(rewrite,[status(thm)],[])).
% 218.60/141.21 tff(26209,plain,
% 218.60/141.21 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB21, 1) <=> v84(constB20, 1))) <=> ($false | $false | (v84(constB21, 1) <=> v84(constB20, 1)))),
% 218.60/141.21 inference(monotonicity,[status(thm)],[402, 401])).
% 218.60/141.21 tff(26210,plain,
% 218.60/141.21 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB21, 1) <=> v84(constB20, 1))) <=> (v84(constB21, 1) <=> v84(constB20, 1))),
% 218.60/141.21 inference(transitivity,[status(thm)],[26209, 26208])).
% 218.60/141.22 tff(26211,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB21, 1) <=> v84(constB20, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 1) <=> v84(constB20, 1)))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[26210])).
% 218.60/141.22 tff(26212,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB21, 1) <=> v84(constB20, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 1) <=> v84(constB20, 1)))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26211, 26207])).
% 218.60/141.22 tff(26213,plain,
% 218.60/141.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB21, 1) <=> v84(constB20, 1)))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26214,plain,
% 218.60/141.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 1) <=> v84(constB20, 1))),
% 218.60/141.22 inference(modus_ponens,[status(thm)],[26213, 26212])).
% 218.60/141.22 tff(26215,plain,
% 218.60/141.22 ($false),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26214, 26206, 26175])).
% 218.60/141.22 tff(26216,plain,(v84(constB21, 1) <=> v84(constB20, 1)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.22 tff(26217,plain,
% 218.60/141.22 ((~(v84(constB21, 1) <=> v84(constB20, 1))) | (~v84(constB21, 1)) | v84(constB20, 1)),
% 218.60/141.22 inference(tautology,[status(thm)],[])).
% 218.60/141.22 tff(26218,plain,
% 218.60/141.22 ((~v84(constB21, 1)) | v84(constB20, 1)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26217, 26216])).
% 218.60/141.22 tff(26219,plain,
% 218.60/141.22 (v84(constB20, 1)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26218, 26174])).
% 218.60/141.22 tff(26220,assumption,(~v115(constB19)), introduced(assumption)).
% 218.60/141.22 tff(26221,plain,
% 218.60/141.22 ((~(v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))) | v115(constB19) | (v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))),
% 218.60/141.22 inference(tautology,[status(thm)],[])).
% 218.60/141.22 tff(26222,plain,
% 218.60/141.22 (v115(constB19) | (v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26221, 25411])).
% 218.60/141.22 tff(26223,plain,
% 218.60/141.22 (v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26222, 26220])).
% 218.60/141.22 tff(26224,plain,
% 218.60/141.22 ((~(v124(constB21, 2) <=> b100(2))) | v124(constB21, 2) | (~b100(2))),
% 218.60/141.22 inference(tautology,[status(thm)],[])).
% 218.60/141.22 tff(26225,plain,
% 218.60/141.22 (~(v124(constB21, 2) <=> b100(2))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26224, 2250, 25927])).
% 218.60/141.22 tff(26226,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))), introduced(assumption)).
% 218.60/141.22 tff(26227,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | (v124(constB21, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | (v124(constB21, 2) <=> b100(2)))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26228,plain,
% 218.60/141.22 (($false | $false | (v124(constB21, 2) <=> b100(2))) <=> (v124(constB21, 2) <=> b100(2))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26229,plain,
% 218.60/141.22 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b100(2))) <=> ($false | $false | (v124(constB21, 2) <=> b100(2)))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.22 tff(26230,plain,
% 218.60/141.22 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b100(2))) <=> (v124(constB21, 2) <=> b100(2))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26229, 26228])).
% 218.60/141.22 tff(26231,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | (v124(constB21, 2) <=> b100(2)))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[26230])).
% 218.60/141.22 tff(26232,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | (v124(constB21, 2) <=> b100(2)))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26231, 26227])).
% 218.60/141.22 tff(26233,plain,
% 218.60/141.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b100(2)))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26234,plain,
% 218.60/141.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | (v124(constB21, 2) <=> b100(2))),
% 218.60/141.22 inference(modus_ponens,[status(thm)],[26233, 26232])).
% 218.60/141.22 tff(26235,plain,
% 218.60/141.22 ($false),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26234, 26226, 26225])).
% 218.60/141.22 tff(26236,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | v124(constB21, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.22 tff(26237,plain,
% 218.60/141.22 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26236, 25926])).
% 218.60/141.22 tff(26238,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))), introduced(assumption)).
% 218.60/141.22 tff(26239,assumption,(v116(constB21)), introduced(assumption)).
% 218.60/141.22 tff(26240,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B))))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26241,plain,
% 218.60/141.22 (((~v116(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B))))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26242,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[26241])).
% 218.60/141.22 tff(26243,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B))))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26242, 26240])).
% 218.60/141.22 tff(26244,plain,
% 218.60/141.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26245,plain,
% 218.60/141.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))),
% 218.60/141.22 inference(modus_ponens,[status(thm)],[26244, 26243])).
% 218.60/141.22 tff(26246,plain,
% 218.60/141.22 ($false),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26245, 2230, 26239, 26238])).
% 218.60/141.22 tff(26247,plain,((~v116(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.22 tff(26248,plain,
% 218.60/141.22 (~v116(constB21)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26247, 26237])).
% 218.60/141.22 tff(26249,plain,
% 218.60/141.22 (~v113(constB21)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[25910, 25901])).
% 218.60/141.22 tff(26250,assumption,(~v117(constB21)), introduced(assumption)).
% 218.60/141.22 tff(26251,plain,
% 218.60/141.22 (~v123(constB22, 2)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[25919, 25490, 25807])).
% 218.60/141.22 tff(26252,plain,
% 218.60/141.22 (~v121(constB21, 2)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[25922, 26251])).
% 218.60/141.22 tff(26253,plain,
% 218.60/141.22 (~v124(constB21, 2)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[25925, 26252])).
% 218.60/141.22 tff(26254,plain,
% 218.60/141.22 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[25977, 26253])).
% 218.60/141.22 tff(26255,plain,
% 218.60/141.22 (~v118(constB21)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[25988, 26254])).
% 218.60/141.22 tff(26256,plain,
% 218.60/141.22 (v123(constB22, 0)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26007, 26006, 25732])).
% 218.60/141.22 tff(26257,plain,
% 218.60/141.22 (v121(constB21, 0)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26010, 26256])).
% 218.60/141.22 tff(26258,plain,
% 218.60/141.22 (v124(constB21, 0)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26013, 26257])).
% 218.60/141.22 tff(26259,plain,
% 218.60/141.22 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26028, 26258])).
% 218.60/141.22 tff(26260,plain,
% 218.60/141.22 (~v114(constB21)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26039, 26259])).
% 218.60/141.22 tff(26261,assumption,(~v116(constB21)), introduced(assumption)).
% 218.60/141.22 tff(26262,assumption,(~v115(constB21)), introduced(assumption)).
% 218.60/141.22 tff(26263,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB21) | v114(constB21) | v115(constB21) | v116(constB21) | v117(constB21) | v118(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB21) | v114(constB21) | v115(constB21) | v116(constB21) | v117(constB21) | v118(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26264,plain,
% 218.60/141.22 ((v118(constB21) | v117(constB21) | v116(constB21) | v115(constB21) | v114(constB21) | v113(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))) <=> (v113(constB21) | v114(constB21) | v115(constB21) | v116(constB21) | v117(constB21) | v118(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26265,plain,
% 218.60/141.22 (^[B: $int] : rewrite(((v124(constB21, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))))),
% 218.60/141.22 inference(bind,[status(th)],[])).
% 218.60/141.22 tff(26266,plain,
% 218.60/141.22 (![B: $int] : ((v124(constB21, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 218.60/141.22 inference(quant_intro,[status(thm)],[26265])).
% 218.60/141.22 tff(26267,plain,
% 218.60/141.22 ((v118(constB21) | v117(constB21) | v116(constB21) | v115(constB21) | v114(constB21) | v113(constB21) | ![B: $int] : ((v124(constB21, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB21) | v117(constB21) | v116(constB21) | v115(constB21) | v114(constB21) | v113(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[26266])).
% 218.60/141.22 tff(26268,plain,
% 218.60/141.22 ((v118(constB21) | v117(constB21) | v116(constB21) | v115(constB21) | v114(constB21) | v113(constB21) | ![B: $int] : ((v124(constB21, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v113(constB21) | v114(constB21) | v115(constB21) | v116(constB21) | v117(constB21) | v118(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26267, 26264])).
% 218.60/141.22 tff(26269,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB21) | v117(constB21) | v116(constB21) | v115(constB21) | v114(constB21) | v113(constB21) | ![B: $int] : ((v124(constB21, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB21) | v114(constB21) | v115(constB21) | v116(constB21) | v117(constB21) | v118(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[26268])).
% 218.60/141.22 tff(26270,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB21) | v117(constB21) | v116(constB21) | v115(constB21) | v114(constB21) | v113(constB21) | ![B: $int] : ((v124(constB21, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB21) | v114(constB21) | v115(constB21) | v116(constB21) | v117(constB21) | v118(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26269, 26263])).
% 218.60/141.22 tff(26271,plain,
% 218.60/141.22 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB21) | v117(constB21) | v116(constB21) | v115(constB21) | v114(constB21) | v113(constB21) | ![B: $int] : ((v124(constB21, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26272,plain,
% 218.60/141.22 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB21) | v114(constB21) | v115(constB21) | v116(constB21) | v117(constB21) | v118(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 218.60/141.22 inference(modus_ponens,[status(thm)],[26271, 26270])).
% 218.60/141.22 tff(26273,plain,
% 218.60/141.22 (v113(constB21) | v114(constB21) | v117(constB21) | v118(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26272, 1807, 26262, 26261])).
% 218.60/141.22 tff(26274,plain,
% 218.60/141.22 ($false),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26273, 26260, 26255, 26250, 26249, 25901])).
% 218.60/141.22 tff(26275,plain,(((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))) | v117(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))) | v115(constB21) | v116(constB21) | (~(v84(constB22, 0) <=> v123(constB22, 0))) | (~(v84(constB22, 2) <=> v123(constB22, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.22 tff(26276,plain,
% 218.60/141.22 (v115(constB21)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26275, 25952, 25424, 25900, 26248, 25705, 25717])).
% 218.60/141.22 tff(26277,assumption,(~(v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))))), introduced(assumption)).
% 218.60/141.22 tff(26278,plain,
% 218.60/141.22 ($false),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[25584, 622, 26277])).
% 218.60/141.22 tff(26279,plain,(v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.60/141.22 tff(26280,plain,
% 218.60/141.22 ((~(v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))))) | (~v115(constB21)) | (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)))),
% 218.60/141.22 inference(tautology,[status(thm)],[])).
% 218.60/141.22 tff(26281,plain,
% 218.60/141.22 ((~v115(constB21)) | (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26280, 26279])).
% 218.60/141.22 tff(26282,plain,
% 218.60/141.22 (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26281, 26276])).
% 218.60/141.22 tff(26283,plain,
% 218.60/141.22 (((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)) | (~v84(constB21, 2))),
% 218.60/141.22 inference(tautology,[status(thm)],[])).
% 218.60/141.22 tff(26284,plain,
% 218.60/141.22 (~v84(constB21, 2)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26283, 26282])).
% 218.60/141.22 tff(26285,assumption,(~(v84(constB21, 2) <=> v84(constB20, 2))), introduced(assumption)).
% 218.60/141.22 tff(26286,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 2) <=> v84(constB20, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 2) <=> v84(constB20, 2)))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26287,plain,
% 218.60/141.22 (($false | $false | (v84(constB21, 2) <=> v84(constB20, 2))) <=> (v84(constB21, 2) <=> v84(constB20, 2))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26288,plain,
% 218.60/141.22 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB21, 2) <=> v84(constB20, 2))) <=> ($false | $false | (v84(constB21, 2) <=> v84(constB20, 2)))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.22 tff(26289,plain,
% 218.60/141.22 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB21, 2) <=> v84(constB20, 2))) <=> (v84(constB21, 2) <=> v84(constB20, 2))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26288, 26287])).
% 218.60/141.22 tff(26290,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB21, 2) <=> v84(constB20, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 2) <=> v84(constB20, 2)))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[26289])).
% 218.60/141.22 tff(26291,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB21, 2) <=> v84(constB20, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 2) <=> v84(constB20, 2)))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26290, 26286])).
% 218.60/141.22 tff(26292,plain,
% 218.60/141.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB21, 2) <=> v84(constB20, 2)))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26293,plain,
% 218.60/141.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 2) <=> v84(constB20, 2))),
% 218.60/141.22 inference(modus_ponens,[status(thm)],[26292, 26291])).
% 218.60/141.22 tff(26294,plain,
% 218.60/141.22 ($false),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26293, 26206, 26285])).
% 218.60/141.22 tff(26295,plain,(v84(constB21, 2) <=> v84(constB20, 2)), inference(lemma,lemma(discharge,[]))).
% 218.60/141.22 tff(26296,plain,
% 218.60/141.22 ((~(v84(constB21, 2) <=> v84(constB20, 2))) | v84(constB21, 2) | (~v84(constB20, 2))),
% 218.60/141.22 inference(tautology,[status(thm)],[])).
% 218.60/141.22 tff(26297,plain,
% 218.60/141.22 (v84(constB21, 2) | (~v84(constB20, 2))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26296, 26295])).
% 218.60/141.22 tff(26298,plain,
% 218.60/141.22 (~v84(constB20, 2)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26297, 26284])).
% 218.60/141.22 tff(26299,plain,
% 218.60/141.22 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB19) <=> v26(constB19))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26300,plain,
% 218.60/141.22 (v105(constB19) <=> v26(constB19)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26299, 156])).
% 218.60/141.22 tff(26301,plain,
% 218.60/141.22 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26302,plain,
% 218.60/141.22 (~v26(constB19)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26301, 168])).
% 218.60/141.22 tff(26303,plain,
% 218.60/141.22 ((~(v105(constB19) <=> v26(constB19))) | (~v105(constB19)) | v26(constB19)),
% 218.60/141.22 inference(tautology,[status(thm)],[])).
% 218.60/141.22 tff(26304,plain,
% 218.60/141.22 ((~(v105(constB19) <=> v26(constB19))) | (~v105(constB19))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26303, 26302])).
% 218.60/141.22 tff(26305,plain,
% 218.60/141.22 (~v105(constB19)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26304, 26300])).
% 218.60/141.22 tff(26306,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB19) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB19) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B))))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26307,plain,
% 218.60/141.22 ((v105(constB19) | ![B: $int] : ((v121(constB19, B) <=> v124(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB19) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B))))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26308,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB19) | ![B: $int] : ((v121(constB19, B) <=> v124(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB19) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[26307])).
% 218.60/141.22 tff(26309,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB19) | ![B: $int] : ((v121(constB19, B) <=> v124(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB19) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B))))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26308, 26306])).
% 218.60/141.22 tff(26310,plain,
% 218.60/141.22 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB19) | ![B: $int] : ((v121(constB19, B) <=> v124(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26311,plain,
% 218.60/141.22 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB19) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))),
% 218.60/141.22 inference(modus_ponens,[status(thm)],[26310, 26309])).
% 218.60/141.22 tff(26312,plain,
% 218.60/141.22 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26311, 1562, 26305])).
% 218.60/141.22 tff(26313,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 2) <=> v124(constB19, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 2) <=> v124(constB19, 2)))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26314,plain,
% 218.60/141.22 (($false | $false | (v121(constB19, 2) <=> v124(constB19, 2))) <=> (v121(constB19, 2) <=> v124(constB19, 2))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26315,plain,
% 218.60/141.22 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB19, 2) <=> v124(constB19, 2))) <=> ($false | $false | (v121(constB19, 2) <=> v124(constB19, 2)))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.22 tff(26316,plain,
% 218.60/141.22 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB19, 2) <=> v124(constB19, 2))) <=> (v121(constB19, 2) <=> v124(constB19, 2))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26315, 26314])).
% 218.60/141.22 tff(26317,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB19, 2) <=> v124(constB19, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 2) <=> v124(constB19, 2)))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[26316])).
% 218.60/141.22 tff(26318,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB19, 2) <=> v124(constB19, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 2) <=> v124(constB19, 2)))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26317, 26313])).
% 218.60/141.22 tff(26319,plain,
% 218.60/141.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB19, 2) <=> v124(constB19, 2)))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26320,plain,
% 218.60/141.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 2) <=> v124(constB19, 2))),
% 218.60/141.22 inference(modus_ponens,[status(thm)],[26319, 26318])).
% 218.60/141.22 tff(26321,plain,
% 218.60/141.22 (v121(constB19, 2) <=> v124(constB19, 2)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26320, 26312])).
% 218.60/141.22 tff(26322,plain,
% 218.60/141.22 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26323,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19')).
% 218.60/141.22 tff(26324,plain,
% 218.60/141.22 (nextState(constB19, constB20)),
% 218.60/141.22 inference(modus_ponens,[status(thm)],[26323, 26322])).
% 218.60/141.22 tff(26325,plain,
% 218.60/141.22 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B))))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26326,plain,
% 218.60/141.22 (((~nextState(constB19, constB20)) | ![B: $int] : ((v123(constB20, B) <=> v121(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B))))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26327,plain,
% 218.60/141.22 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB19, constB20)) | ![B: $int] : ((v123(constB20, B) <=> v121(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[26326])).
% 218.60/141.22 tff(26328,plain,
% 218.60/141.22 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB19, constB20)) | ![B: $int] : ((v123(constB20, B) <=> v121(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B))))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26327, 26325])).
% 218.60/141.22 tff(26329,plain,
% 218.60/141.22 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB19, constB20)) | ![B: $int] : ((v123(constB20, B) <=> v121(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26330,plain,
% 218.60/141.22 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))),
% 218.60/141.22 inference(modus_ponens,[status(thm)],[26329, 26328])).
% 218.60/141.22 tff(26331,plain,
% 218.60/141.22 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26330, 26324, 1527])).
% 218.60/141.22 tff(26332,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 2) <=> v121(constB19, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 2) <=> v121(constB19, 2)))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26333,plain,
% 218.60/141.22 (($false | $false | (v123(constB20, 2) <=> v121(constB19, 2))) <=> (v123(constB20, 2) <=> v121(constB19, 2))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26334,plain,
% 218.60/141.22 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB20, 2) <=> v121(constB19, 2))) <=> ($false | $false | (v123(constB20, 2) <=> v121(constB19, 2)))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[534, 533])).
% 218.60/141.22 tff(26335,plain,
% 218.60/141.22 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB20, 2) <=> v121(constB19, 2))) <=> (v123(constB20, 2) <=> v121(constB19, 2))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26334, 26333])).
% 218.60/141.22 tff(26336,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB20, 2) <=> v121(constB19, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 2) <=> v121(constB19, 2)))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[26335])).
% 218.60/141.22 tff(26337,plain,
% 218.60/141.22 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB20, 2) <=> v121(constB19, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 2) <=> v121(constB19, 2)))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26336, 26332])).
% 218.60/141.22 tff(26338,plain,
% 218.60/141.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB20, 2) <=> v121(constB19, 2)))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26339,plain,
% 218.60/141.22 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 2) <=> v121(constB19, 2))),
% 218.60/141.22 inference(modus_ponens,[status(thm)],[26338, 26337])).
% 218.60/141.22 tff(26340,plain,
% 218.60/141.22 (v123(constB20, 2) <=> v121(constB19, 2)),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26339, 26331])).
% 218.60/141.22 tff(26341,assumption,(~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))), introduced(assumption)).
% 218.60/141.22 tff(26342,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))))))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26343,plain,
% 218.60/141.22 ((v117(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | (~v84(constB19, 2))))) <=> (v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))))),
% 218.60/141.22 inference(rewrite,[status(thm)],[])).
% 218.60/141.22 tff(26344,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | (~v84(constB19, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))))))),
% 218.60/141.22 inference(monotonicity,[status(thm)],[26343])).
% 218.60/141.22 tff(26345,plain,
% 218.60/141.22 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | (~v84(constB19, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))))))),
% 218.60/141.22 inference(transitivity,[status(thm)],[26344, 26342])).
% 218.60/141.22 tff(26346,plain,
% 218.60/141.22 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | (~v84(constB19, 2)))))),
% 218.60/141.22 inference(quant_inst,[status(thm)],[])).
% 218.60/141.22 tff(26347,plain,
% 218.60/141.22 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))))),
% 218.60/141.22 inference(modus_ponens,[status(thm)],[26346, 26345])).
% 218.60/141.22 tff(26348,plain,
% 218.60/141.22 (v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))))),
% 218.60/141.22 inference(unit_resolution,[status(thm)],[26347, 656])).
% 218.60/141.22 tff(26349,plain,
% 218.60/141.22 ((~(v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))))) | v117(constB19) | (v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26350,plain,
% 218.68/141.22 ((~(v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))))) | v117(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26349, 26341])).
% 218.68/141.22 tff(26351,plain,
% 218.68/141.22 (v117(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26350, 26348])).
% 218.68/141.22 tff(26352,plain,
% 218.68/141.22 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB19) <=> (v110(constB19) | v117(constB19)))),
% 218.68/141.22 inference(quant_inst,[status(thm)],[])).
% 218.68/141.22 tff(26353,plain,
% 218.68/141.22 (v109(constB19) <=> (v110(constB19) | v117(constB19))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26352, 456])).
% 218.68/141.22 tff(26354,assumption,(~v109(constB19)), introduced(assumption)).
% 218.68/141.22 tff(26355,plain,
% 218.68/141.22 ((~(v109(constB19) <=> (v110(constB19) | v117(constB19)))) | v109(constB19) | (~(v110(constB19) | v117(constB19)))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26356,plain,
% 218.68/141.22 ((~(v109(constB19) <=> (v110(constB19) | v117(constB19)))) | (~(v110(constB19) | v117(constB19)))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26355, 26354])).
% 218.68/141.22 tff(26357,plain,
% 218.68/141.22 (~(v110(constB19) | v117(constB19))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26356, 26353])).
% 218.68/141.22 tff(26358,plain,
% 218.68/141.22 ((v110(constB19) | v117(constB19)) | (~v117(constB19))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26359,plain,
% 218.68/141.22 ($false),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26358, 26357, 26351])).
% 218.68/141.22 tff(26360,plain,(v109(constB19) | (v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.22 tff(26361,plain,
% 218.68/141.22 (v109(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26360, 26341])).
% 218.68/141.22 tff(26362,plain,
% 218.68/141.22 ((v109(constB19) | v118(constB19)) | (~v109(constB19))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26363,plain,
% 218.68/141.22 (v109(constB19) | v118(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26362, 26361])).
% 218.68/141.22 tff(26364,assumption,(~(v108(constB19) <=> (v109(constB19) | v118(constB19)))), introduced(assumption)).
% 218.68/141.22 tff(26365,plain,
% 218.68/141.22 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB19) <=> (v109(constB19) | v118(constB19)))),
% 218.68/141.22 inference(quant_inst,[status(thm)],[])).
% 218.68/141.22 tff(26366,plain,
% 218.68/141.22 ($false),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26365, 428, 26364])).
% 218.68/141.22 tff(26367,plain,(v108(constB19) <=> (v109(constB19) | v118(constB19))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.22 tff(26368,plain,
% 218.68/141.22 ((~(v108(constB19) <=> (v109(constB19) | v118(constB19)))) | v108(constB19) | (~(v109(constB19) | v118(constB19)))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26369,plain,
% 218.68/141.22 (v108(constB19) | (~(v109(constB19) | v118(constB19)))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26368, 26367])).
% 218.68/141.22 tff(26370,plain,
% 218.68/141.22 (v108(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26369, 26363])).
% 218.68/141.22 tff(26371,plain,
% 218.68/141.22 ((v108(constB19) | v119(constB19)) | (~v108(constB19))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26372,plain,
% 218.68/141.22 (v108(constB19) | v119(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26371, 26370])).
% 218.68/141.22 tff(26373,assumption,(~(v107(constB19) <=> (v108(constB19) | v119(constB19)))), introduced(assumption)).
% 218.68/141.22 tff(26374,plain,
% 218.68/141.22 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB19) <=> (v108(constB19) | v119(constB19)))),
% 218.68/141.22 inference(quant_inst,[status(thm)],[])).
% 218.68/141.22 tff(26375,plain,
% 218.68/141.22 ($false),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26374, 187, 26373])).
% 218.68/141.22 tff(26376,plain,(v107(constB19) <=> (v108(constB19) | v119(constB19))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.22 tff(26377,plain,
% 218.68/141.22 ((~(v107(constB19) <=> (v108(constB19) | v119(constB19)))) | v107(constB19) | (~(v108(constB19) | v119(constB19)))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26378,plain,
% 218.68/141.22 (v107(constB19) | (~(v108(constB19) | v119(constB19)))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26377, 26376])).
% 218.68/141.22 tff(26379,plain,
% 218.68/141.22 (v107(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26378, 26372])).
% 218.68/141.22 tff(26380,plain,
% 218.68/141.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB19)) <=> v105(constB19))),
% 218.68/141.22 inference(quant_inst,[status(thm)],[])).
% 218.68/141.22 tff(26381,plain,
% 218.68/141.22 ((~v120(constB19)) <=> v105(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26380, 144])).
% 218.68/141.22 tff(26382,plain,
% 218.68/141.22 ((~((~v120(constB19)) <=> v105(constB19))) | v120(constB19) | v105(constB19)),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26383,plain,
% 218.68/141.22 ((~((~v120(constB19)) <=> v105(constB19))) | v120(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26382, 26305])).
% 218.68/141.22 tff(26384,plain,
% 218.68/141.22 (v120(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26383, 26381])).
% 218.68/141.22 tff(26385,plain,
% 218.68/141.22 ((~((~v107(constB19)) | (~v120(constB19)))) | (~v107(constB19)) | (~v120(constB19))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26386,plain,
% 218.68/141.22 ((~((~v107(constB19)) | (~v120(constB19)))) | (~v107(constB19))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26385, 26384])).
% 218.68/141.22 tff(26387,plain,
% 218.68/141.22 (~((~v107(constB19)) | (~v120(constB19)))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26386, 26379])).
% 218.68/141.22 tff(26388,plain,
% 218.68/141.22 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB19) <=> (~((~v107(constB19)) | (~v120(constB19)))))),
% 218.68/141.22 inference(quant_inst,[status(thm)],[])).
% 218.68/141.22 tff(26389,plain,
% 218.68/141.22 (v106(constB19) <=> (~((~v107(constB19)) | (~v120(constB19))))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26388, 132])).
% 218.68/141.22 tff(26390,plain,
% 218.68/141.22 ((~(v106(constB19) <=> (~((~v107(constB19)) | (~v120(constB19)))))) | v106(constB19) | ((~v107(constB19)) | (~v120(constB19)))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26391,plain,
% 218.68/141.22 (v106(constB19) | ((~v107(constB19)) | (~v120(constB19)))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26390, 26389])).
% 218.68/141.22 tff(26392,plain,
% 218.68/141.22 (v106(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26391, 26387])).
% 218.68/141.22 tff(26393,plain,
% 218.68/141.22 ((v105(constB19) | v106(constB19)) | (~v106(constB19))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26394,plain,
% 218.68/141.22 (v105(constB19) | v106(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26393, 26392])).
% 218.68/141.22 tff(26395,plain,
% 218.68/141.22 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB19) <=> (v105(constB19) | v106(constB19)))),
% 218.68/141.22 inference(quant_inst,[status(thm)],[])).
% 218.68/141.22 tff(26396,plain,
% 218.68/141.22 (v102(constB19) <=> (v105(constB19) | v106(constB19))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26395, 115])).
% 218.68/141.22 tff(26397,plain,
% 218.68/141.22 ((~(v102(constB19) <=> (v105(constB19) | v106(constB19)))) | v102(constB19) | (~(v105(constB19) | v106(constB19)))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26398,plain,
% 218.68/141.22 (v102(constB19) | (~(v105(constB19) | v106(constB19)))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26397, 26396])).
% 218.68/141.22 tff(26399,plain,
% 218.68/141.22 (v102(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26398, 26394])).
% 218.68/141.22 tff(26400,plain,
% 218.68/141.22 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19)))),
% 218.68/141.22 inference(rewrite,[status(thm)],[])).
% 218.68/141.22 tff(26401,plain,
% 218.68/141.22 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19)))),
% 218.68/141.22 inference(quant_inst,[status(thm)],[])).
% 218.68/141.22 tff(26402,plain,
% 218.68/141.22 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19))),
% 218.68/141.22 inference(modus_ponens,[status(thm)],[26401, 26400])).
% 218.68/141.22 tff(26403,plain,
% 218.68/141.22 (v104(constB20) <=> v102(constB19)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26402, 26324, 101])).
% 218.68/141.22 tff(26404,plain,
% 218.68/141.22 ((~(v104(constB20) <=> v102(constB19))) | v104(constB20) | (~v102(constB19))),
% 218.68/141.22 inference(tautology,[status(thm)],[])).
% 218.68/141.22 tff(26405,plain,
% 218.68/141.22 (v104(constB20) | (~v102(constB19))),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26404, 26403])).
% 218.68/141.22 tff(26406,plain,
% 218.68/141.22 (v104(constB20)),
% 218.68/141.22 inference(unit_resolution,[status(thm)],[26405, 26399])).
% 218.68/141.22 tff(26407,plain,
% 218.68/141.22 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))),
% 218.68/141.22 inference(rewrite,[status(thm)],[])).
% 218.68/141.22 tff(26408,plain,
% 218.68/141.22 (((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20)))))) <=> ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26409,plain,
% 218.68/141.23 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20)))))))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26408])).
% 218.68/141.23 tff(26410,plain,
% 218.68/141.23 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26409, 26407])).
% 218.68/141.23 tff(26411,plain,
% 218.68/141.23 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20))))))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26412,plain,
% 218.68/141.23 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20)))))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26411, 26410])).
% 218.68/141.23 tff(26413,plain,
% 218.68/141.23 (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26412, 26324, 37])).
% 218.68/141.23 tff(26414,plain,
% 218.68/141.23 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20)))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26415,plain,
% 218.68/141.23 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20)))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26416,plain,
% 218.68/141.23 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26415, 26414])).
% 218.68/141.23 tff(26417,plain,
% 218.68/141.23 ((~v96(constB20)) <=> v98(constB20)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26416, 26324, 54])).
% 218.68/141.23 tff(26418,plain,
% 218.68/141.23 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19)))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26419,plain,
% 218.68/141.23 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19)))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26420,plain,
% 218.68/141.23 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26419, 26418])).
% 218.68/141.23 tff(26421,plain,
% 218.68/141.23 (v98(constB20) <=> v1(constB19)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26420, 26324, 68])).
% 218.68/141.23 tff(26422,plain,
% 218.68/141.23 ((~(v98(constB20) <=> v1(constB19))) | (~v98(constB20)) | v1(constB19)),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26423,plain,
% 218.68/141.23 ((~(v98(constB20) <=> v1(constB19))) | (~v98(constB20))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26422, 21497])).
% 218.68/141.23 tff(26424,plain,
% 218.68/141.23 (~v98(constB20)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26423, 26421])).
% 218.68/141.23 tff(26425,plain,
% 218.68/141.23 ((~((~v96(constB20)) <=> v98(constB20))) | v96(constB20) | v98(constB20)),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26426,plain,
% 218.68/141.23 (v96(constB20)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26425, 26424, 26417])).
% 218.68/141.23 tff(26427,plain,
% 218.68/141.23 (v1(constB20) <=> v1(constB20)),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26428,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20')).
% 218.68/141.23 tff(26429,plain,
% 218.68/141.23 (v1(constB20)),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26428, 26427])).
% 218.68/141.23 tff(26430,plain,
% 218.68/141.23 ((~((~v1(constB20)) | (~v96(constB20)))) | (~v1(constB20)) | (~v96(constB20))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26431,plain,
% 218.68/141.23 ((~((~v1(constB20)) | (~v96(constB20)))) | (~v96(constB20))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26430, 26429])).
% 218.68/141.23 tff(26432,plain,
% 218.68/141.23 (~((~v1(constB20)) | (~v96(constB20)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26431, 26426])).
% 218.68/141.23 tff(26433,plain,
% 218.68/141.23 ((~(v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20)))))) | v95(constB20) | ((~v1(constB20)) | (~v96(constB20)))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26434,plain,
% 218.68/141.23 (v95(constB20)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26433, 26432, 26413])).
% 218.68/141.23 tff(26435,plain,
% 218.68/141.23 ((~((~v95(constB20)) | (~v104(constB20)))) | (~v95(constB20)) | (~v104(constB20))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26436,plain,
% 218.68/141.23 ((~((~v95(constB20)) | (~v104(constB20)))) | (~v104(constB20))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26435, 26434])).
% 218.68/141.23 tff(26437,plain,
% 218.68/141.23 (~((~v95(constB20)) | (~v104(constB20)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26436, 26406])).
% 218.68/141.23 tff(26438,plain,
% 218.68/141.23 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20))))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26439,plain,
% 218.68/141.23 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20))))))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26440,plain,
% 218.68/141.23 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20)))))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26439, 26438])).
% 218.68/141.23 tff(26441,plain,
% 218.68/141.23 (v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20))))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26440, 26324, 14])).
% 218.68/141.23 tff(26442,plain,
% 218.68/141.23 ((~(v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20)))))) | v94(constB20) | ((~v95(constB20)) | (~v104(constB20)))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26443,plain,
% 218.68/141.23 (v94(constB20) | ((~v95(constB20)) | (~v104(constB20)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26442, 26441])).
% 218.68/141.23 tff(26444,plain,
% 218.68/141.23 (v94(constB20)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26443, 26437])).
% 218.68/141.23 tff(26445,plain,
% 218.68/141.23 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26446,plain,
% 218.68/141.23 (((~v94(constB20)) | ![B: $int] : ((v84(constB20, B) <=> v123(constB20, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26447,plain,
% 218.68/141.23 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB20)) | ![B: $int] : ((v84(constB20, B) <=> v123(constB20, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26446])).
% 218.68/141.23 tff(26448,plain,
% 218.68/141.23 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB20)) | ![B: $int] : ((v84(constB20, B) <=> v123(constB20, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B))))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26447, 26445])).
% 218.68/141.23 tff(26449,plain,
% 218.68/141.23 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB20)) | ![B: $int] : ((v84(constB20, B) <=> v123(constB20, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26450,plain,
% 218.68/141.23 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26449, 26448])).
% 218.68/141.23 tff(26451,plain,
% 218.68/141.23 ((~v94(constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26450, 1491])).
% 218.68/141.23 tff(26452,plain,
% 218.68/141.23 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26451, 26444])).
% 218.68/141.23 tff(26453,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 2) <=> v123(constB20, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 2) <=> v123(constB20, 2)))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26454,plain,
% 218.68/141.23 (($false | $false | (v84(constB20, 2) <=> v123(constB20, 2))) <=> (v84(constB20, 2) <=> v123(constB20, 2))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26455,plain,
% 218.68/141.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB20, 2) <=> v123(constB20, 2))) <=> ($false | $false | (v84(constB20, 2) <=> v123(constB20, 2)))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[534, 533])).
% 218.68/141.23 tff(26456,plain,
% 218.68/141.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB20, 2) <=> v123(constB20, 2))) <=> (v84(constB20, 2) <=> v123(constB20, 2))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26455, 26454])).
% 218.68/141.23 tff(26457,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB20, 2) <=> v123(constB20, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 2) <=> v123(constB20, 2)))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26456])).
% 218.68/141.23 tff(26458,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB20, 2) <=> v123(constB20, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 2) <=> v123(constB20, 2)))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26457, 26453])).
% 218.68/141.23 tff(26459,plain,
% 218.68/141.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB20, 2) <=> v123(constB20, 2)))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26460,plain,
% 218.68/141.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 2) <=> v123(constB20, 2))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26459, 26458])).
% 218.68/141.23 tff(26461,plain,
% 218.68/141.23 (v84(constB20, 2) <=> v123(constB20, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26460, 26452])).
% 218.68/141.23 tff(26462,assumption,(~v84(constB20, 2)), introduced(assumption)).
% 218.68/141.23 tff(26463,plain,
% 218.68/141.23 ((~(v84(constB20, 2) <=> v123(constB20, 2))) | v84(constB20, 2) | (~v123(constB20, 2))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26464,plain,
% 218.68/141.23 ((~(v84(constB20, 2) <=> v123(constB20, 2))) | (~v123(constB20, 2))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26463, 26462])).
% 218.68/141.23 tff(26465,plain,
% 218.68/141.23 (~v123(constB20, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26464, 26461])).
% 218.68/141.23 tff(26466,plain,
% 218.68/141.23 ((~(v123(constB20, 2) <=> v121(constB19, 2))) | v123(constB20, 2) | (~v121(constB19, 2))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26467,plain,
% 218.68/141.23 ((~(v123(constB20, 2) <=> v121(constB19, 2))) | (~v121(constB19, 2))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26466, 26465])).
% 218.68/141.23 tff(26468,plain,
% 218.68/141.23 (~v121(constB19, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26467, 26340])).
% 218.68/141.23 tff(26469,plain,
% 218.68/141.23 (v117(constB19)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26349, 26341, 26348])).
% 218.68/141.23 tff(26470,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26471,plain,
% 218.68/141.23 (((~v117(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26472,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26471])).
% 218.68/141.23 tff(26473,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B))))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26472, 26470])).
% 218.68/141.23 tff(26474,plain,
% 218.68/141.23 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26475,plain,
% 218.68/141.23 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26474, 26473])).
% 218.68/141.23 tff(26476,plain,
% 218.68/141.23 ((~v117(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26475, 2090])).
% 218.68/141.23 tff(26477,plain,
% 218.68/141.23 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26476, 26469])).
% 218.68/141.23 tff(26478,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))) | (v124(constB19, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))) | (v124(constB19, 2) <=> b101(2)))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26479,plain,
% 218.68/141.23 (($false | $false | (v124(constB19, 2) <=> b101(2))) <=> (v124(constB19, 2) <=> b101(2))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26480,plain,
% 218.68/141.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b101(2))) <=> ($false | $false | (v124(constB19, 2) <=> b101(2)))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[534, 533])).
% 218.68/141.23 tff(26481,plain,
% 218.68/141.23 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b101(2))) <=> (v124(constB19, 2) <=> b101(2))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26480, 26479])).
% 218.68/141.23 tff(26482,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))) | (v124(constB19, 2) <=> b101(2)))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26481])).
% 218.68/141.23 tff(26483,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))) | (v124(constB19, 2) <=> b101(2)))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26482, 26478])).
% 218.68/141.23 tff(26484,plain,
% 218.68/141.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b101(2)))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26485,plain,
% 218.68/141.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b101(B)))) | (v124(constB19, 2) <=> b101(2))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26484, 26483])).
% 218.68/141.23 tff(26486,plain,
% 218.68/141.23 (v124(constB19, 2) <=> b101(2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26485, 26477])).
% 218.68/141.23 tff(26487,plain,
% 218.68/141.23 ((~(v124(constB19, 2) <=> b101(2))) | v124(constB19, 2) | (~b101(2))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26488,plain,
% 218.68/141.23 ((~(v124(constB19, 2) <=> b101(2))) | v124(constB19, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26487, 2354])).
% 218.68/141.23 tff(26489,plain,
% 218.68/141.23 (v124(constB19, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26488, 26486])).
% 218.68/141.23 tff(26490,plain,
% 218.68/141.23 ((~(v121(constB19, 2) <=> v124(constB19, 2))) | v121(constB19, 2) | (~v124(constB19, 2))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26491,plain,
% 218.68/141.23 ((~(v121(constB19, 2) <=> v124(constB19, 2))) | v121(constB19, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26490, 26489])).
% 218.68/141.23 tff(26492,plain,
% 218.68/141.23 ($false),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26491, 26468, 26321])).
% 218.68/141.23 tff(26493,plain,((v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))) | v84(constB20, 2)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.23 tff(26494,plain,
% 218.68/141.23 (v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26493, 26298])).
% 218.68/141.23 tff(26495,assumption,(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))), introduced(assumption)).
% 218.68/141.23 tff(26496,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))), introduced(assumption)).
% 218.68/141.23 tff(26497,plain,
% 218.68/141.23 (v84(constB18, 0) <=> v123(constB18, 0)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24955, 26496])).
% 218.68/141.23 tff(26498,plain,
% 218.68/141.23 (~v123(constB18, 0)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24958, 26497])).
% 218.68/141.23 tff(26499,plain,
% 218.68/141.23 ((~(v123(constB18, 0) <=> v121(constB17, 0))) | (~v121(constB17, 0))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24960, 26498])).
% 218.68/141.23 tff(26500,plain,
% 218.68/141.23 (~v121(constB17, 0)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26499, 24885])).
% 218.68/141.23 tff(26501,assumption,(~v117(constB17)), introduced(assumption)).
% 218.68/141.23 tff(26502,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))), introduced(assumption)).
% 218.68/141.23 tff(26503,assumption,(v113(constB17)), introduced(assumption)).
% 218.68/141.23 tff(26504,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26505,plain,
% 218.68/141.23 (((~v113(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26506,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26505])).
% 218.68/141.23 tff(26507,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26506, 26504])).
% 218.68/141.23 tff(26508,plain,
% 218.68/141.23 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26509,plain,
% 218.68/141.23 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26508, 26507])).
% 218.68/141.23 tff(26510,plain,
% 218.68/141.23 ($false),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26509, 2117, 26502, 26503])).
% 218.68/141.23 tff(26511,plain,((~v113(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.23 tff(26512,plain,
% 218.68/141.23 (~v113(constB17)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26511, 26502])).
% 218.68/141.23 tff(26513,plain,
% 218.68/141.23 ((~(v113(constB17) <=> (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2))))) | v113(constB17) | (v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26514,plain,
% 218.68/141.23 (v113(constB17) | (v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26513, 22279])).
% 218.68/141.23 tff(26515,plain,
% 218.68/141.23 (v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26514, 26512])).
% 218.68/141.23 tff(26516,plain,
% 218.68/141.23 (v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24068, 26501])).
% 218.68/141.23 tff(26517,plain,
% 218.68/141.23 (~v84(constB17, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24198, 24196, 24195, 24197])).
% 218.68/141.23 tff(26518,plain,
% 218.68/141.23 ($false),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[25004, 26517, 24196, 24997, 24197])).
% 218.68/141.23 tff(26519,plain,(v84(constB17, 0) | (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2))) | v84(constB17, 1) | (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.23 tff(26520,plain,
% 218.68/141.23 (v84(constB17, 1)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26519, 24196, 26516, 26515])).
% 218.68/141.23 tff(26521,plain,
% 218.68/141.23 (v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[22401, 26520])).
% 218.68/141.23 tff(26522,plain,
% 218.68/141.23 ((~(v118(constB17) <=> (~(v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2)))))) | (~v118(constB17))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[22403, 26521])).
% 218.68/141.23 tff(26523,plain,
% 218.68/141.23 (~v118(constB17)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26522, 22400])).
% 218.68/141.23 tff(26524,plain,
% 218.68/141.23 ((v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))) | v84(constB17, 0)),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26525,plain,
% 218.68/141.23 (v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26524, 24196])).
% 218.68/141.23 tff(26526,plain,
% 218.68/141.23 ((~(v114(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))))) | (~v114(constB17))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[22241, 26525])).
% 218.68/141.23 tff(26527,plain,
% 218.68/141.23 (~v114(constB17)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26526, 21652])).
% 218.68/141.23 tff(26528,plain,
% 218.68/141.23 ((v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))) | v84(constB17, 0)),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26529,plain,
% 218.68/141.23 (v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26528, 24196])).
% 218.68/141.23 tff(26530,plain,
% 218.68/141.23 ((~(v116(constB17) <=> (~(v84(constB17, 2) | (~v84(constB17, 0)) | (~v84(constB17, 1)))))) | (~v116(constB17))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[22342, 26529])).
% 218.68/141.23 tff(26531,plain,
% 218.68/141.23 (~v116(constB17)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26530, 22313])).
% 218.68/141.23 tff(26532,assumption,(~v115(constB17)), introduced(assumption)).
% 218.68/141.23 tff(26533,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))) | v113(constB17) | v114(constB17) | v115(constB17) | v116(constB17) | v117(constB17) | v118(constB17))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))) | v113(constB17) | v114(constB17) | v115(constB17) | v116(constB17) | v117(constB17) | v118(constB17))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26534,plain,
% 218.68/141.23 ((v118(constB17) | v117(constB17) | v116(constB17) | v115(constB17) | v114(constB17) | v113(constB17) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))) | v113(constB17) | v114(constB17) | v115(constB17) | v116(constB17) | v117(constB17) | v118(constB17))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26535,plain,
% 218.68/141.23 (^[B: $int] : rewrite(((v124(constB17, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))))),
% 218.68/141.23 inference(bind,[status(th)],[])).
% 218.68/141.23 tff(26536,plain,
% 218.68/141.23 (![B: $int] : ((v124(constB17, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))),
% 218.68/141.23 inference(quant_intro,[status(thm)],[26535])).
% 218.68/141.23 tff(26537,plain,
% 218.68/141.23 ((v118(constB17) | v117(constB17) | v116(constB17) | v115(constB17) | v114(constB17) | v113(constB17) | ![B: $int] : ((v124(constB17, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB17) | v117(constB17) | v116(constB17) | v115(constB17) | v114(constB17) | v113(constB17) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26536])).
% 218.68/141.23 tff(26538,plain,
% 218.68/141.23 ((v118(constB17) | v117(constB17) | v116(constB17) | v115(constB17) | v114(constB17) | v113(constB17) | ![B: $int] : ((v124(constB17, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))) | v113(constB17) | v114(constB17) | v115(constB17) | v116(constB17) | v117(constB17) | v118(constB17))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26537, 26534])).
% 218.68/141.23 tff(26539,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB17) | v117(constB17) | v116(constB17) | v115(constB17) | v114(constB17) | v113(constB17) | ![B: $int] : ((v124(constB17, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))) | v113(constB17) | v114(constB17) | v115(constB17) | v116(constB17) | v117(constB17) | v118(constB17)))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26538])).
% 218.68/141.23 tff(26540,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB17) | v117(constB17) | v116(constB17) | v115(constB17) | v114(constB17) | v113(constB17) | ![B: $int] : ((v124(constB17, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))) | v113(constB17) | v114(constB17) | v115(constB17) | v116(constB17) | v117(constB17) | v118(constB17))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26539, 26533])).
% 218.68/141.23 tff(26541,plain,
% 218.68/141.23 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB17) | v117(constB17) | v116(constB17) | v115(constB17) | v114(constB17) | v113(constB17) | ![B: $int] : ((v124(constB17, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26542,plain,
% 218.68/141.23 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))) | v113(constB17) | v114(constB17) | v115(constB17) | v116(constB17) | v117(constB17) | v118(constB17)),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26541, 26540])).
% 218.68/141.23 tff(26543,plain,
% 218.68/141.23 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))) | v113(constB17) | v114(constB17) | v116(constB17) | v118(constB17)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26542, 1807, 26501, 26532])).
% 218.68/141.23 tff(26544,plain,
% 218.68/141.23 ($false),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26543, 26531, 26527, 26502, 26512, 26523])).
% 218.68/141.23 tff(26545,plain,(v84(constB17, 0) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))) | v117(constB17) | v115(constB17)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.23 tff(26546,plain,
% 218.68/141.23 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26545, 24964, 24196, 26501])).
% 218.68/141.23 tff(26547,plain,
% 218.68/141.23 ((~(v124(constB17, 0) <=> b001(0))) | v124(constB17, 0) | (~b001(0))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26548,plain,
% 218.68/141.23 (~(v124(constB17, 0) <=> b001(0))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26547, 1940, 24906])).
% 218.68/141.23 tff(26549,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))), introduced(assumption)).
% 218.68/141.23 tff(26550,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 0) <=> b001(0)))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26551,plain,
% 218.68/141.23 (($false | $false | (v124(constB17, 0) <=> b001(0))) <=> (v124(constB17, 0) <=> b001(0))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26552,plain,
% 218.68/141.23 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b001(0))) <=> ($false | $false | (v124(constB17, 0) <=> b001(0)))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[250, 249])).
% 218.68/141.23 tff(26553,plain,
% 218.68/141.23 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b001(0))) <=> (v124(constB17, 0) <=> b001(0))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26552, 26551])).
% 218.68/141.23 tff(26554,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 0) <=> b001(0)))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26553])).
% 218.68/141.23 tff(26555,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 0) <=> b001(0)))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26554, 26550])).
% 218.68/141.23 tff(26556,plain,
% 218.68/141.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b001(0)))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26557,plain,
% 218.68/141.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 0) <=> b001(0))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26556, 26555])).
% 218.68/141.23 tff(26558,plain,
% 218.68/141.23 ($false),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26557, 26549, 26548])).
% 218.68/141.23 tff(26559,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | v124(constB17, 0)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.23 tff(26560,plain,
% 218.68/141.23 (v124(constB17, 0)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26559, 26546])).
% 218.68/141.23 tff(26561,plain,
% 218.68/141.23 ((~(v121(constB17, 0) <=> v124(constB17, 0))) | v121(constB17, 0)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24921, 26560])).
% 218.68/141.23 tff(26562,plain,
% 218.68/141.23 ($false),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26561, 26500, 24894])).
% 218.68/141.23 tff(26563,plain,(v84(constB18, 0) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | v84(constB17, 0) | v117(constB17)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.23 tff(26564,plain,
% 218.68/141.23 (v84(constB17, 0)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26563, 21604, 24066, 25041])).
% 218.68/141.23 tff(26565,assumption,(v84(constB17, 0)), introduced(assumption)).
% 218.68/141.23 tff(26566,plain,
% 218.68/141.23 (v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[22274, 26565])).
% 218.68/141.23 tff(26567,assumption,(~v84(constB18, 1)), introduced(assumption)).
% 218.68/141.23 tff(26568,plain,
% 218.68/141.23 (v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[22364, 26565])).
% 218.68/141.23 tff(26569,plain,
% 218.68/141.23 (v84(constB18, 1) <=> v84(constB17, 1)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[22484, 24869])).
% 218.68/141.23 tff(26570,plain,
% 218.68/141.23 ((~(v84(constB18, 1) <=> v84(constB17, 1))) | (~v84(constB17, 1))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[22486, 26567])).
% 218.68/141.23 tff(26571,plain,
% 218.68/141.23 (~v84(constB17, 1)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26570, 26569])).
% 218.68/141.23 tff(26572,plain,
% 218.68/141.23 ($false),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26519, 26571, 24875, 24195, 24997])).
% 218.68/141.23 tff(26573,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))) | (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))) | (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2))) | v84(constB18, 1) | v84(constB18, 0)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.23 tff(26574,plain,
% 218.68/141.23 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26573, 26568, 21604, 26567, 26566])).
% 218.68/141.23 tff(26575,plain,
% 218.68/141.23 (v94(constB18)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[22475, 26574])).
% 218.68/141.23 tff(26576,plain,
% 218.68/141.23 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24023, 26575])).
% 218.68/141.23 tff(26577,plain,
% 218.68/141.23 (v84(constB18, 2) <=> v123(constB18, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24032, 26576])).
% 218.68/141.23 tff(26578,plain,
% 218.68/141.23 (~v123(constB18, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24035, 26577])).
% 218.68/141.23 tff(26579,plain,
% 218.68/141.23 ((~(v123(constB18, 2) <=> v121(constB17, 2))) | (~v121(constB17, 2))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24037, 26578])).
% 218.68/141.23 tff(26580,plain,
% 218.68/141.23 (~v121(constB17, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26579, 23950])).
% 218.68/141.23 tff(26581,plain,
% 218.68/141.23 ((~(v121(constB17, 2) <=> v124(constB17, 2))) | (~v124(constB17, 2))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24062, 26580])).
% 218.68/141.23 tff(26582,plain,
% 218.68/141.23 (~v124(constB17, 2)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26581, 23934])).
% 218.68/141.23 tff(26583,plain,
% 218.68/141.23 (~(v124(constB17, 2) <=> b100(2))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[25048, 2250, 26582])).
% 218.68/141.23 tff(26584,plain,
% 218.68/141.23 (v84(constB18, 1) <=> v123(constB18, 1)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[25115, 26576])).
% 218.68/141.23 tff(26585,plain,
% 218.68/141.23 ((~(v84(constB18, 1) <=> v123(constB18, 1))) | v84(constB18, 1) | (~v123(constB18, 1))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26586,plain,
% 218.68/141.23 ((~(v84(constB18, 1) <=> v123(constB18, 1))) | (~v123(constB18, 1))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26585, 26567])).
% 218.68/141.23 tff(26587,plain,
% 218.68/141.23 (~v123(constB18, 1)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26586, 26584])).
% 218.68/141.23 tff(26588,plain,
% 218.68/141.23 ((~(v123(constB18, 1) <=> v121(constB17, 1))) | v123(constB18, 1) | (~v121(constB17, 1))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26589,plain,
% 218.68/141.23 ((~(v123(constB18, 1) <=> v121(constB17, 1))) | (~v121(constB17, 1))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26588, 26587])).
% 218.68/141.23 tff(26590,plain,
% 218.68/141.23 (~v121(constB17, 1)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26589, 25078])).
% 218.68/141.23 tff(26591,plain,
% 218.68/141.23 ((~(v121(constB17, 1) <=> v124(constB17, 1))) | v121(constB17, 1) | (~v124(constB17, 1))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26592,plain,
% 218.68/141.23 ((~(v121(constB17, 1) <=> v124(constB17, 1))) | (~v124(constB17, 1))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26591, 26590])).
% 218.68/141.23 tff(26593,plain,
% 218.68/141.23 (~v124(constB17, 1)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26592, 25069])).
% 218.68/141.23 tff(26594,assumption,(~v124(constB17, 1)), introduced(assumption)).
% 218.68/141.23 tff(26595,plain,
% 218.68/141.23 ((~(v124(constB17, 1) <=> b110(1))) | v124(constB17, 1) | (~b110(1))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26596,plain,
% 218.68/141.23 (~(v124(constB17, 1) <=> b110(1))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26595, 1662, 26594])).
% 218.68/141.23 tff(26597,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))), introduced(assumption)).
% 218.68/141.23 tff(26598,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | (v124(constB17, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | (v124(constB17, 1) <=> b110(1)))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26599,plain,
% 218.68/141.23 (($false | $false | (v124(constB17, 1) <=> b110(1))) <=> (v124(constB17, 1) <=> b110(1))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26600,plain,
% 218.68/141.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b110(1))) <=> ($false | $false | (v124(constB17, 1) <=> b110(1)))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.23 tff(26601,plain,
% 218.68/141.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b110(1))) <=> (v124(constB17, 1) <=> b110(1))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26600, 26599])).
% 218.68/141.23 tff(26602,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | (v124(constB17, 1) <=> b110(1)))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26601])).
% 218.68/141.23 tff(26603,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | (v124(constB17, 1) <=> b110(1)))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26602, 26598])).
% 218.68/141.23 tff(26604,plain,
% 218.68/141.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b110(1)))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26605,plain,
% 218.68/141.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | (v124(constB17, 1) <=> b110(1))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26604, 26603])).
% 218.68/141.23 tff(26606,plain,
% 218.68/141.23 ($false),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26605, 26597, 26596])).
% 218.68/141.23 tff(26607,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | v124(constB17, 1)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.23 tff(26608,plain,
% 218.68/141.23 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26607, 26593])).
% 218.68/141.23 tff(26609,plain,
% 218.68/141.23 (v84(constB18, 0) <=> v123(constB18, 0)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24955, 26576])).
% 218.68/141.23 tff(26610,plain,
% 218.68/141.23 (~v123(constB18, 0)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24958, 26609])).
% 218.68/141.23 tff(26611,plain,
% 218.68/141.23 ((~(v123(constB18, 0) <=> v121(constB17, 0))) | (~v121(constB17, 0))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24960, 26610])).
% 218.68/141.23 tff(26612,plain,
% 218.68/141.23 (~v121(constB17, 0)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26611, 24885])).
% 218.68/141.23 tff(26613,plain,
% 218.68/141.23 ((~(v121(constB17, 0) <=> v124(constB17, 0))) | (~v124(constB17, 0))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[24921, 26612])).
% 218.68/141.23 tff(26614,plain,
% 218.68/141.23 (~v124(constB17, 0)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26613, 24894])).
% 218.68/141.23 tff(26615,plain,
% 218.68/141.23 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26559, 26614])).
% 218.68/141.23 tff(26616,plain,
% 218.68/141.23 (~v117(constB17)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[22392, 26568])).
% 218.68/141.23 tff(26617,plain,
% 218.68/141.23 ((~(v124(constB17, 1) <=> b010(1))) | v124(constB17, 1) | (~b010(1))),
% 218.68/141.23 inference(tautology,[status(thm)],[])).
% 218.68/141.23 tff(26618,plain,
% 218.68/141.23 (~(v124(constB17, 1) <=> b010(1))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26617, 2513, 26594])).
% 218.68/141.23 tff(26619,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))), introduced(assumption)).
% 218.68/141.23 tff(26620,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | (v124(constB17, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | (v124(constB17, 1) <=> b010(1)))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26621,plain,
% 218.68/141.23 (($false | $false | (v124(constB17, 1) <=> b010(1))) <=> (v124(constB17, 1) <=> b010(1))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26622,plain,
% 218.68/141.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b010(1))) <=> ($false | $false | (v124(constB17, 1) <=> b010(1)))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.23 tff(26623,plain,
% 218.68/141.23 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b010(1))) <=> (v124(constB17, 1) <=> b010(1))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26622, 26621])).
% 218.68/141.23 tff(26624,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | (v124(constB17, 1) <=> b010(1)))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26623])).
% 218.68/141.23 tff(26625,plain,
% 218.68/141.23 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | (v124(constB17, 1) <=> b010(1)))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26624, 26620])).
% 218.68/141.23 tff(26626,plain,
% 218.68/141.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b010(1)))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26627,plain,
% 218.68/141.23 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | (v124(constB17, 1) <=> b010(1))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26626, 26625])).
% 218.68/141.23 tff(26628,plain,
% 218.68/141.23 ($false),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26627, 26619, 26618])).
% 218.68/141.23 tff(26629,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | v124(constB17, 1)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.23 tff(26630,plain,
% 218.68/141.23 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26629, 26593])).
% 218.68/141.23 tff(26631,assumption,(~v116(constB17)), introduced(assumption)).
% 218.68/141.23 tff(26632,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))), introduced(assumption)).
% 218.68/141.23 tff(26633,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26634,plain,
% 218.68/141.23 (((~v114(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26635,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26634])).
% 218.68/141.23 tff(26636,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B))))),
% 218.68/141.23 inference(transitivity,[status(thm)],[26635, 26633])).
% 218.68/141.23 tff(26637,plain,
% 218.68/141.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.68/141.23 inference(quant_inst,[status(thm)],[])).
% 218.68/141.23 tff(26638,plain,
% 218.68/141.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))),
% 218.68/141.23 inference(modus_ponens,[status(thm)],[26637, 26636])).
% 218.68/141.23 tff(26639,plain,
% 218.68/141.23 (~v114(constB17)),
% 218.68/141.23 inference(unit_resolution,[status(thm)],[26638, 2418, 26632])).
% 218.68/141.23 tff(26640,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))), introduced(assumption)).
% 218.68/141.23 tff(26641,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26642,plain,
% 218.68/141.23 (((~v118(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B))))),
% 218.68/141.23 inference(rewrite,[status(thm)],[])).
% 218.68/141.23 tff(26643,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))))),
% 218.68/141.23 inference(monotonicity,[status(thm)],[26642])).
% 218.68/141.23 tff(26644,plain,
% 218.68/141.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B))))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26643, 26641])).
% 218.68/141.24 tff(26645,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB17)) | ![B: $int] : ((v124(constB17, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26646,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))),
% 218.68/141.24 inference(modus_ponens,[status(thm)],[26645, 26644])).
% 218.68/141.24 tff(26647,plain,
% 218.68/141.24 (~v118(constB17)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26646, 1977, 26640])).
% 218.68/141.24 tff(26648,plain,
% 218.68/141.24 (v114(constB17) | v115(constB17) | v116(constB17) | v118(constB17)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26542, 1807, 26502, 26501, 26512])).
% 218.68/141.24 tff(26649,plain,
% 218.68/141.24 ($false),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26648, 26647, 26639, 26532, 26631])).
% 218.68/141.24 tff(26650,plain,(v116(constB17) | v115(constB17) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B))) | v117(constB17) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.24 tff(26651,plain,
% 218.68/141.24 (v116(constB17)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26650, 26630, 24964, 26616, 26615, 26608])).
% 218.68/141.24 tff(26652,plain,
% 218.68/141.24 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b100(B)))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[24855, 26651])).
% 218.68/141.24 tff(26653,plain,
% 218.68/141.24 ($false),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[24864, 26652, 26583])).
% 218.68/141.24 tff(26654,plain,((~v84(constB17, 0)) | v84(constB18, 2) | v84(constB18, 1) | v84(constB18, 0)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.24 tff(26655,plain,
% 218.68/141.24 (v84(constB18, 1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26654, 21604, 21530, 26565])).
% 218.68/141.24 tff(26656,plain,
% 218.68/141.24 ((~(v84(constB19, 2) <=> v84(constB18, 2))) | (~v84(constB19, 2)) | v84(constB18, 2)),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26657,plain,
% 218.68/141.24 ((~v84(constB19, 2)) | v84(constB18, 2)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26656, 21524])).
% 218.68/141.24 tff(26658,plain,
% 218.68/141.24 (~v84(constB19, 2)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26657, 21530])).
% 218.68/141.24 tff(26659,assumption,(~(v84(constB19, 0) <=> v84(constB18, 0))), introduced(assumption)).
% 218.68/141.24 tff(26660,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 0) <=> v84(constB18, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 0) <=> v84(constB18, 0)))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26661,plain,
% 218.68/141.24 (($false | $false | (v84(constB19, 0) <=> v84(constB18, 0))) <=> (v84(constB19, 0) <=> v84(constB18, 0))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26662,plain,
% 218.68/141.24 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB19, 0) <=> v84(constB18, 0))) <=> ($false | $false | (v84(constB19, 0) <=> v84(constB18, 0)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[250, 249])).
% 218.68/141.24 tff(26663,plain,
% 218.68/141.24 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB19, 0) <=> v84(constB18, 0))) <=> (v84(constB19, 0) <=> v84(constB18, 0))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26662, 26661])).
% 218.68/141.24 tff(26664,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB19, 0) <=> v84(constB18, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 0) <=> v84(constB18, 0)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[26663])).
% 218.68/141.24 tff(26665,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB19, 0) <=> v84(constB18, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 0) <=> v84(constB18, 0)))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26664, 26660])).
% 218.68/141.24 tff(26666,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB19, 0) <=> v84(constB18, 0)))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26667,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB19, B) <=> v84(constB18, B)))) | (v84(constB19, 0) <=> v84(constB18, 0))),
% 218.68/141.24 inference(modus_ponens,[status(thm)],[26666, 26665])).
% 218.68/141.24 tff(26668,plain,
% 218.68/141.24 ($false),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26667, 21514, 26659])).
% 218.68/141.24 tff(26669,plain,(v84(constB19, 0) <=> v84(constB18, 0)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.24 tff(26670,plain,
% 218.68/141.24 ((~(v84(constB19, 0) <=> v84(constB18, 0))) | (~v84(constB19, 0)) | v84(constB18, 0)),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26671,plain,
% 218.68/141.24 ((~v84(constB19, 0)) | v84(constB18, 0)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26670, 26669])).
% 218.68/141.24 tff(26672,plain,
% 218.68/141.24 (~v84(constB19, 0)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26671, 21604])).
% 218.68/141.24 tff(26673,plain,
% 218.68/141.24 ((~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))) | v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26674,plain,
% 218.68/141.24 (~v84(constB19, 1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26673, 26672, 26658, 26495])).
% 218.68/141.24 tff(26675,plain,
% 218.68/141.24 ((~(v84(constB19, 1) <=> v84(constB18, 1))) | v84(constB19, 1) | (~v84(constB18, 1))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26676,plain,
% 218.68/141.24 (v84(constB19, 1) | (~v84(constB18, 1))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26675, 25204])).
% 218.68/141.24 tff(26677,plain,
% 218.68/141.24 ($false),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26676, 26674, 26655])).
% 218.68/141.24 tff(26678,plain,(v84(constB18, 0) | (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))) | v84(constB18, 2) | (~v84(constB17, 0))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.24 tff(26679,plain,
% 218.68/141.24 ($false),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26678, 26564, 21604, 21530, 26495])).
% 218.68/141.24 tff(26680,plain,(v84(constB18, 0) | v84(constB18, 2) | (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.24 tff(26681,plain,
% 218.68/141.24 (v84(constB18, 2)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26680, 21604, 26495])).
% 218.68/141.24 tff(26682,assumption,(v84(constB20, 1)), introduced(assumption)).
% 218.68/141.24 tff(26683,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 1) <=> v124(constB19, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 1) <=> v124(constB19, 1)))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26684,plain,
% 218.68/141.24 (($false | $false | (v121(constB19, 1) <=> v124(constB19, 1))) <=> (v121(constB19, 1) <=> v124(constB19, 1))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26685,plain,
% 218.68/141.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB19, 1) <=> v124(constB19, 1))) <=> ($false | $false | (v121(constB19, 1) <=> v124(constB19, 1)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.24 tff(26686,plain,
% 218.68/141.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB19, 1) <=> v124(constB19, 1))) <=> (v121(constB19, 1) <=> v124(constB19, 1))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26685, 26684])).
% 218.68/141.24 tff(26687,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB19, 1) <=> v124(constB19, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 1) <=> v124(constB19, 1)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[26686])).
% 218.68/141.24 tff(26688,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB19, 1) <=> v124(constB19, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 1) <=> v124(constB19, 1)))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26687, 26683])).
% 218.68/141.24 tff(26689,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB19, 1) <=> v124(constB19, 1)))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26690,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 1) <=> v124(constB19, 1))),
% 218.68/141.24 inference(modus_ponens,[status(thm)],[26689, 26688])).
% 218.68/141.24 tff(26691,plain,
% 218.68/141.24 (v121(constB19, 1) <=> v124(constB19, 1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26690, 26312])).
% 218.68/141.24 tff(26692,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 1) <=> v121(constB19, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 1) <=> v121(constB19, 1)))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26693,plain,
% 218.68/141.24 (($false | $false | (v123(constB20, 1) <=> v121(constB19, 1))) <=> (v123(constB20, 1) <=> v121(constB19, 1))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26694,plain,
% 218.68/141.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB20, 1) <=> v121(constB19, 1))) <=> ($false | $false | (v123(constB20, 1) <=> v121(constB19, 1)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.24 tff(26695,plain,
% 218.68/141.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB20, 1) <=> v121(constB19, 1))) <=> (v123(constB20, 1) <=> v121(constB19, 1))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26694, 26693])).
% 218.68/141.24 tff(26696,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB20, 1) <=> v121(constB19, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 1) <=> v121(constB19, 1)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[26695])).
% 218.68/141.24 tff(26697,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB20, 1) <=> v121(constB19, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 1) <=> v121(constB19, 1)))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26696, 26692])).
% 218.68/141.24 tff(26698,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB20, 1) <=> v121(constB19, 1)))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26699,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 1) <=> v121(constB19, 1))),
% 218.68/141.24 inference(modus_ponens,[status(thm)],[26698, 26697])).
% 218.68/141.24 tff(26700,plain,
% 218.68/141.24 (v123(constB20, 1) <=> v121(constB19, 1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26699, 26331])).
% 218.68/141.24 tff(26701,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB19) <=> (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26702,plain,
% 218.68/141.24 (v119(constB19) <=> (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2))))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26701, 318])).
% 218.68/141.24 tff(26703,assumption,(~v84(constB19, 0)), introduced(assumption)).
% 218.68/141.24 tff(26704,assumption,(v84(constB19, 2)), introduced(assumption)).
% 218.68/141.24 tff(26705,assumption,(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2))), introduced(assumption)).
% 218.68/141.24 tff(26706,plain,
% 218.68/141.24 (v84(constB19, 1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[25208, 26703, 22697, 26704])).
% 218.68/141.24 tff(26707,plain,
% 218.68/141.24 ((~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))) | v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26708,plain,
% 218.68/141.24 ($false),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26707, 26706, 26703, 26704, 26705])).
% 218.68/141.24 tff(26709,plain,(v84(constB19, 0) | (~v84(constB19, 2)) | (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))) | (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.24 tff(26710,plain,
% 218.68/141.24 (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26709, 22697, 26704, 26703])).
% 218.68/141.24 tff(26711,plain,
% 218.68/141.24 ((~(v119(constB19) <=> (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))))) | v119(constB19) | (v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26712,plain,
% 218.68/141.24 (v119(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26711, 26710, 26702])).
% 218.68/141.24 tff(26713,plain,
% 218.68/141.24 ((v108(constB19) | v119(constB19)) | (~v119(constB19))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26714,plain,
% 218.68/141.24 (v108(constB19) | v119(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26713, 26712])).
% 218.68/141.24 tff(26715,plain,
% 218.68/141.24 (v107(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26378, 26714])).
% 218.68/141.24 tff(26716,plain,
% 218.68/141.24 (~((~v107(constB19)) | (~v120(constB19)))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26386, 26715])).
% 218.68/141.24 tff(26717,plain,
% 218.68/141.24 (v106(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26391, 26716])).
% 218.68/141.24 tff(26718,plain,
% 218.68/141.24 (v105(constB19) | v106(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26393, 26717])).
% 218.68/141.24 tff(26719,plain,
% 218.68/141.24 (v102(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26398, 26718])).
% 218.68/141.24 tff(26720,plain,
% 218.68/141.24 (v104(constB20)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26405, 26719])).
% 218.68/141.24 tff(26721,plain,
% 218.68/141.24 (~((~v95(constB20)) | (~v104(constB20)))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26436, 26720])).
% 218.68/141.24 tff(26722,plain,
% 218.68/141.24 (v94(constB20)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26443, 26721])).
% 218.68/141.24 tff(26723,plain,
% 218.68/141.24 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26451, 26722])).
% 218.68/141.24 tff(26724,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 1) <=> v123(constB20, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 1) <=> v123(constB20, 1)))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26725,plain,
% 218.68/141.24 (($false | $false | (v84(constB20, 1) <=> v123(constB20, 1))) <=> (v84(constB20, 1) <=> v123(constB20, 1))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26726,plain,
% 218.68/141.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB20, 1) <=> v123(constB20, 1))) <=> ($false | $false | (v84(constB20, 1) <=> v123(constB20, 1)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.24 tff(26727,plain,
% 218.68/141.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB20, 1) <=> v123(constB20, 1))) <=> (v84(constB20, 1) <=> v123(constB20, 1))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26726, 26725])).
% 218.68/141.24 tff(26728,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB20, 1) <=> v123(constB20, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 1) <=> v123(constB20, 1)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[26727])).
% 218.68/141.24 tff(26729,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB20, 1) <=> v123(constB20, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 1) <=> v123(constB20, 1)))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26728, 26724])).
% 218.68/141.24 tff(26730,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB20, 1) <=> v123(constB20, 1)))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26731,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 1) <=> v123(constB20, 1))),
% 218.68/141.24 inference(modus_ponens,[status(thm)],[26730, 26729])).
% 218.68/141.24 tff(26732,plain,
% 218.68/141.24 (v84(constB20, 1) <=> v123(constB20, 1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26731, 26723])).
% 218.68/141.24 tff(26733,plain,
% 218.68/141.24 ((~(v84(constB20, 1) <=> v123(constB20, 1))) | (~v84(constB20, 1)) | v123(constB20, 1)),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26734,plain,
% 218.68/141.24 ((~(v84(constB20, 1) <=> v123(constB20, 1))) | v123(constB20, 1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26733, 26682])).
% 218.68/141.24 tff(26735,plain,
% 218.68/141.24 (v123(constB20, 1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26734, 26732])).
% 218.68/141.24 tff(26736,plain,
% 218.68/141.24 ((~(v123(constB20, 1) <=> v121(constB19, 1))) | (~v123(constB20, 1)) | v121(constB19, 1)),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26737,plain,
% 218.68/141.24 ((~(v123(constB20, 1) <=> v121(constB19, 1))) | v121(constB19, 1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26736, 26735])).
% 218.68/141.24 tff(26738,plain,
% 218.68/141.24 (v121(constB19, 1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26737, 26700])).
% 218.68/141.24 tff(26739,plain,
% 218.68/141.24 ((v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))) | v84(constB19, 0)),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26740,plain,
% 218.68/141.24 (v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26739, 26703])).
% 218.68/141.24 tff(26741,assumption,(~(v118(constB19) <=> (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2)))))), introduced(assumption)).
% 218.68/141.24 tff(26742,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB19) <=> (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2)))))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26743,plain,
% 218.68/141.24 ($false),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26742, 394, 26741])).
% 218.68/141.24 tff(26744,plain,(v118(constB19) <=> (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.24 tff(26745,plain,
% 218.68/141.24 ((~(v118(constB19) <=> (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2)))))) | (~v118(constB19)) | (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26746,plain,
% 218.68/141.24 ((~v118(constB19)) | (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26745, 26744])).
% 218.68/141.24 tff(26747,plain,
% 218.68/141.24 (~v118(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26746, 26740])).
% 218.68/141.24 tff(26748,plain,
% 218.68/141.24 ((~(v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))))) | (~v117(constB19)) | (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26749,plain,
% 218.68/141.24 (~v117(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26748, 22697, 26348])).
% 218.68/141.24 tff(26750,plain,
% 218.68/141.24 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))))))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26751,plain,
% 218.68/141.24 ((v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 1)) | (~v84(constB19, 0))))) <=> (v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26752,plain,
% 218.68/141.24 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 1)) | (~v84(constB19, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))))))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[26751])).
% 218.68/141.24 tff(26753,plain,
% 218.68/141.24 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 1)) | (~v84(constB19, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))))))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26752, 26750])).
% 218.68/141.24 tff(26754,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 1)) | (~v84(constB19, 0)))))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26755,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))))),
% 218.68/141.24 inference(modus_ponens,[status(thm)],[26754, 26753])).
% 218.68/141.24 tff(26756,plain,
% 218.68/141.24 (v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26755, 521])).
% 218.68/141.24 tff(26757,plain,
% 218.68/141.24 ((v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))) | (~v84(constB19, 2))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26758,plain,
% 218.68/141.24 (v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26757, 26704])).
% 218.68/141.24 tff(26759,plain,
% 218.68/141.24 ((~(v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))))) | (~v116(constB19)) | (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26760,plain,
% 218.68/141.24 ((~(v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))))) | (~v116(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26759, 26758])).
% 218.68/141.24 tff(26761,plain,
% 218.68/141.24 (~v116(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26760, 26756])).
% 218.68/141.24 tff(26762,plain,
% 218.68/141.24 (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[25409, 622])).
% 218.68/141.24 tff(26763,plain,
% 218.68/141.24 (v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[25401, 26704])).
% 218.68/141.24 tff(26764,plain,
% 218.68/141.24 ((~(v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))) | (~v115(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[25412, 26763])).
% 218.68/141.24 tff(26765,plain,
% 218.68/141.24 (~v115(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26764, 26762])).
% 218.68/141.24 tff(26766,plain,
% 218.68/141.24 (v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[25418, 298])).
% 218.68/141.24 tff(26767,plain,
% 218.68/141.24 (v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[25415, 26704])).
% 218.68/141.24 tff(26768,plain,
% 218.68/141.24 ((~(v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))))) | (~v114(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[25421, 26767])).
% 218.68/141.24 tff(26769,plain,
% 218.68/141.24 (~v114(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26768, 26766])).
% 218.68/141.24 tff(26770,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26771,plain,
% 218.68/141.24 (v113(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26770, 597])).
% 218.68/141.24 tff(26772,plain,
% 218.68/141.24 ((v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)) | (~v84(constB19, 2))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26773,plain,
% 218.68/141.24 (v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26772, 26704])).
% 218.68/141.24 tff(26774,plain,
% 218.68/141.24 ((~(v113(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))))) | (~v113(constB19)) | (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26775,plain,
% 218.68/141.24 ((~(v113(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))))) | (~v113(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26774, 26773])).
% 218.68/141.24 tff(26776,plain,
% 218.68/141.24 (~v113(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26775, 26771])).
% 218.68/141.24 tff(26777,plain,
% 218.68/141.24 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B))) | v113(constB19) | v114(constB19) | v115(constB19) | v116(constB19) | v117(constB19) | v118(constB19))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B))) | v113(constB19) | v114(constB19) | v115(constB19) | v116(constB19) | v117(constB19) | v118(constB19))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26778,plain,
% 218.68/141.24 ((v118(constB19) | v117(constB19) | v116(constB19) | v115(constB19) | v114(constB19) | v113(constB19) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B))) | v113(constB19) | v114(constB19) | v115(constB19) | v116(constB19) | v117(constB19) | v118(constB19))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26779,plain,
% 218.68/141.24 (^[B: $int] : rewrite(((v124(constB19, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B))))),
% 218.68/141.24 inference(bind,[status(th)],[])).
% 218.68/141.24 tff(26780,plain,
% 218.68/141.24 (![B: $int] : ((v124(constB19, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B)))),
% 218.68/141.24 inference(quant_intro,[status(thm)],[26779])).
% 218.68/141.24 tff(26781,plain,
% 218.68/141.24 ((v118(constB19) | v117(constB19) | v116(constB19) | v115(constB19) | v114(constB19) | v113(constB19) | ![B: $int] : ((v124(constB19, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB19) | v117(constB19) | v116(constB19) | v115(constB19) | v114(constB19) | v113(constB19) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B))))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[26780])).
% 218.68/141.24 tff(26782,plain,
% 218.68/141.24 ((v118(constB19) | v117(constB19) | v116(constB19) | v115(constB19) | v114(constB19) | v113(constB19) | ![B: $int] : ((v124(constB19, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B))) | v113(constB19) | v114(constB19) | v115(constB19) | v116(constB19) | v117(constB19) | v118(constB19))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26781, 26778])).
% 218.68/141.24 tff(26783,plain,
% 218.68/141.24 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB19) | v117(constB19) | v116(constB19) | v115(constB19) | v114(constB19) | v113(constB19) | ![B: $int] : ((v124(constB19, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B))) | v113(constB19) | v114(constB19) | v115(constB19) | v116(constB19) | v117(constB19) | v118(constB19)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[26782])).
% 218.68/141.24 tff(26784,plain,
% 218.68/141.24 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB19) | v117(constB19) | v116(constB19) | v115(constB19) | v114(constB19) | v113(constB19) | ![B: $int] : ((v124(constB19, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B))) | v113(constB19) | v114(constB19) | v115(constB19) | v116(constB19) | v117(constB19) | v118(constB19))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26783, 26777])).
% 218.68/141.24 tff(26785,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB19) | v117(constB19) | v116(constB19) | v115(constB19) | v114(constB19) | v113(constB19) | ![B: $int] : ((v124(constB19, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26786,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B))) | v113(constB19) | v114(constB19) | v115(constB19) | v116(constB19) | v117(constB19) | v118(constB19)),
% 218.68/141.24 inference(modus_ponens,[status(thm)],[26785, 26784])).
% 218.68/141.24 tff(26787,plain,
% 218.68/141.24 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B))) | v117(constB19) | v118(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26786, 1807, 26776, 26769, 26765, 26761])).
% 218.68/141.24 tff(26788,plain,
% 218.68/141.24 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B)))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26787, 26749, 26747])).
% 218.68/141.24 tff(26789,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B)))) | (v124(constB19, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B)))) | (v124(constB19, 1) <=> b001(1)))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26790,plain,
% 218.68/141.24 (($false | $false | (v124(constB19, 1) <=> b001(1))) <=> (v124(constB19, 1) <=> b001(1))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26791,plain,
% 218.68/141.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b001(1))) <=> ($false | $false | (v124(constB19, 1) <=> b001(1)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.24 tff(26792,plain,
% 218.68/141.24 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b001(1))) <=> (v124(constB19, 1) <=> b001(1))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26791, 26790])).
% 218.68/141.24 tff(26793,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B)))) | (v124(constB19, 1) <=> b001(1)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[26792])).
% 218.68/141.24 tff(26794,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B)))) | (v124(constB19, 1) <=> b001(1)))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26793, 26789])).
% 218.68/141.24 tff(26795,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b001(1)))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26796,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b001(B)))) | (v124(constB19, 1) <=> b001(1))),
% 218.68/141.24 inference(modus_ponens,[status(thm)],[26795, 26794])).
% 218.68/141.24 tff(26797,plain,
% 218.68/141.24 (v124(constB19, 1) <=> b001(1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26796, 26788])).
% 218.68/141.24 tff(26798,plain,
% 218.68/141.24 ((~(v124(constB19, 1) <=> b001(1))) | (~v124(constB19, 1)) | b001(1)),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26799,plain,
% 218.68/141.24 ((~(v124(constB19, 1) <=> b001(1))) | (~v124(constB19, 1))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26798, 1885])).
% 218.68/141.24 tff(26800,plain,
% 218.68/141.24 (~v124(constB19, 1)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26799, 26797])).
% 218.68/141.24 tff(26801,plain,
% 218.68/141.24 ((~(v121(constB19, 1) <=> v124(constB19, 1))) | (~v121(constB19, 1)) | v124(constB19, 1)),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26802,plain,
% 218.68/141.24 ((~(v121(constB19, 1) <=> v124(constB19, 1))) | (~v121(constB19, 1))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26801, 26800])).
% 218.68/141.24 tff(26803,plain,
% 218.68/141.24 ($false),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26802, 26738, 26691])).
% 218.68/141.24 tff(26804,plain,((~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))) | (~v84(constB20, 1)) | (~v84(constB19, 2)) | v84(constB19, 0)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.24 tff(26805,plain,
% 218.68/141.24 (~v84(constB19, 2)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26804, 26672, 22697, 26682])).
% 218.68/141.24 tff(26806,plain,
% 218.68/141.24 ($false),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[21526, 26805, 26681])).
% 218.68/141.24 tff(26807,plain,(v84(constB18, 0) | (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))) | (~v84(constB20, 1)) | (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.24 tff(26808,plain,
% 218.68/141.24 (v84(constB18, 0)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26807, 26494, 26223, 26219])).
% 218.68/141.24 tff(26809,plain,
% 218.68/141.24 ((~(v84(constB19, 0) <=> v84(constB18, 0))) | v84(constB19, 0) | (~v84(constB18, 0))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26810,plain,
% 218.68/141.24 (v84(constB19, 0) | (~v84(constB18, 0))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26809, 26669])).
% 218.68/141.24 tff(26811,plain,
% 218.68/141.24 (v84(constB19, 0)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26810, 26808])).
% 218.68/141.24 tff(26812,plain,
% 218.68/141.24 ((v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)) | (~v84(constB19, 0))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26813,plain,
% 218.68/141.24 (v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26812, 26811])).
% 218.68/141.24 tff(26814,plain,
% 218.68/141.24 ((v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2))) | (~v84(constB19, 0))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26815,plain,
% 218.68/141.24 (v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26814, 26811])).
% 218.68/141.24 tff(26816,plain,
% 218.68/141.24 (((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)) | (~v84(constB21, 0))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26817,plain,
% 218.68/141.24 (~v84(constB21, 0)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26816, 26282])).
% 218.68/141.24 tff(26818,assumption,(~(v84(constB21, 0) <=> v84(constB20, 0))), introduced(assumption)).
% 218.68/141.24 tff(26819,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 0) <=> v84(constB20, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 0) <=> v84(constB20, 0)))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26820,plain,
% 218.68/141.24 (($false | $false | (v84(constB21, 0) <=> v84(constB20, 0))) <=> (v84(constB21, 0) <=> v84(constB20, 0))),
% 218.68/141.24 inference(rewrite,[status(thm)],[])).
% 218.68/141.24 tff(26821,plain,
% 218.68/141.24 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB21, 0) <=> v84(constB20, 0))) <=> ($false | $false | (v84(constB21, 0) <=> v84(constB20, 0)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[250, 249])).
% 218.68/141.24 tff(26822,plain,
% 218.68/141.24 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB21, 0) <=> v84(constB20, 0))) <=> (v84(constB21, 0) <=> v84(constB20, 0))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26821, 26820])).
% 218.68/141.24 tff(26823,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB21, 0) <=> v84(constB20, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 0) <=> v84(constB20, 0)))),
% 218.68/141.24 inference(monotonicity,[status(thm)],[26822])).
% 218.68/141.24 tff(26824,plain,
% 218.68/141.24 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB21, 0) <=> v84(constB20, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 0) <=> v84(constB20, 0)))),
% 218.68/141.24 inference(transitivity,[status(thm)],[26823, 26819])).
% 218.68/141.24 tff(26825,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB21, 0) <=> v84(constB20, 0)))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26826,plain,
% 218.68/141.24 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB21, B) <=> v84(constB20, B)))) | (v84(constB21, 0) <=> v84(constB20, 0))),
% 218.68/141.24 inference(modus_ponens,[status(thm)],[26825, 26824])).
% 218.68/141.24 tff(26827,plain,
% 218.68/141.24 ($false),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26826, 26206, 26818])).
% 218.68/141.24 tff(26828,plain,(v84(constB21, 0) <=> v84(constB20, 0)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.24 tff(26829,plain,
% 218.68/141.24 ((~(v84(constB21, 0) <=> v84(constB20, 0))) | v84(constB21, 0) | (~v84(constB20, 0))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26830,plain,
% 218.68/141.24 (v84(constB21, 0) | (~v84(constB20, 0))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26829, 26828])).
% 218.68/141.24 tff(26831,plain,
% 218.68/141.24 (~v84(constB20, 0)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26830, 26817])).
% 218.68/141.24 tff(26832,assumption,(~v84(constB20, 0)), introduced(assumption)).
% 218.68/141.24 tff(26833,assumption,(~(v105(constB19) | v106(constB19))), introduced(assumption)).
% 218.68/141.24 tff(26834,plain,
% 218.68/141.24 (~v106(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26393, 26833])).
% 218.68/141.24 tff(26835,plain,
% 218.68/141.24 ((~v107(constB19)) | (~v120(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26391, 26834])).
% 218.68/141.24 tff(26836,plain,
% 218.68/141.24 (~v107(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26386, 26835])).
% 218.68/141.24 tff(26837,plain,
% 218.68/141.24 (~(v108(constB19) | v119(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26378, 26836])).
% 218.68/141.24 tff(26838,plain,
% 218.68/141.24 (~v108(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26371, 26837])).
% 218.68/141.24 tff(26839,plain,
% 218.68/141.24 (~(v109(constB19) | v118(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26369, 26838])).
% 218.68/141.24 tff(26840,plain,
% 218.68/141.24 (~v109(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26362, 26839])).
% 218.68/141.24 tff(26841,plain,
% 218.68/141.24 (v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26360, 26840])).
% 218.68/141.24 tff(26842,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB19) <=> (v111(constB19) | v116(constB19)))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26843,plain,
% 218.68/141.24 (v110(constB19) <=> (v111(constB19) | v116(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26842, 265])).
% 218.68/141.24 tff(26844,plain,
% 218.68/141.24 (~(v110(constB19) | v117(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26355, 26354, 26353])).
% 218.68/141.24 tff(26845,plain,
% 218.68/141.24 ((v110(constB19) | v117(constB19)) | (~v110(constB19))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26846,plain,
% 218.68/141.24 (~v110(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26845, 26844])).
% 218.68/141.24 tff(26847,plain,
% 218.68/141.24 ((~(v110(constB19) <=> (v111(constB19) | v116(constB19)))) | v110(constB19) | (~(v111(constB19) | v116(constB19)))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26848,plain,
% 218.68/141.24 (~(v111(constB19) | v116(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26847, 26846, 26843])).
% 218.68/141.24 tff(26849,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB19) <=> (v112(constB19) | v115(constB19)))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26850,plain,
% 218.68/141.24 (v111(constB19) <=> (v112(constB19) | v115(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26849, 274])).
% 218.68/141.24 tff(26851,assumption,(~v84(constB19, 1)), introduced(assumption)).
% 218.68/141.24 tff(26852,plain,
% 218.68/141.24 ((~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))) | v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26853,plain,
% 218.68/141.24 (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26852, 26851, 26703, 21475])).
% 218.68/141.24 tff(26854,plain,
% 218.68/141.24 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB19) <=> (v113(constB19) | v114(constB19)))),
% 218.68/141.24 inference(quant_inst,[status(thm)],[])).
% 218.68/141.24 tff(26855,plain,
% 218.68/141.24 (v112(constB19) <=> (v113(constB19) | v114(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26854, 283])).
% 218.68/141.24 tff(26856,assumption,(~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))), introduced(assumption)).
% 218.68/141.24 tff(26857,plain,
% 218.68/141.24 ((~(v113(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))))) | v113(constB19) | (v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26858,plain,
% 218.68/141.24 ((~(v113(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))))) | v113(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26857, 26856])).
% 218.68/141.24 tff(26859,plain,
% 218.68/141.24 (v113(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26858, 26771])).
% 218.68/141.24 tff(26860,plain,
% 218.68/141.24 ((v113(constB19) | v114(constB19)) | (~v113(constB19))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26861,plain,
% 218.68/141.24 (v113(constB19) | v114(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26860, 26859])).
% 218.68/141.24 tff(26862,plain,
% 218.68/141.24 ((~(v112(constB19) <=> (v113(constB19) | v114(constB19)))) | v112(constB19) | (~(v113(constB19) | v114(constB19)))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26863,plain,
% 218.68/141.24 ((~(v112(constB19) <=> (v113(constB19) | v114(constB19)))) | v112(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26862, 26861])).
% 218.68/141.24 tff(26864,plain,
% 218.68/141.24 (v112(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26863, 26855])).
% 218.68/141.24 tff(26865,plain,
% 218.68/141.24 ((v112(constB19) | v115(constB19)) | (~v112(constB19))),
% 218.68/141.24 inference(tautology,[status(thm)],[])).
% 218.68/141.24 tff(26866,plain,
% 218.68/141.24 (v112(constB19) | v115(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26865, 26864])).
% 218.68/141.24 tff(26867,plain,
% 218.68/141.24 (~v110(constB19)),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26845, 26357])).
% 218.68/141.24 tff(26868,plain,
% 218.68/141.24 ((~(v110(constB19) <=> (v111(constB19) | v116(constB19)))) | (~(v111(constB19) | v116(constB19)))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26847, 26867])).
% 218.68/141.24 tff(26869,plain,
% 218.68/141.24 (~(v111(constB19) | v116(constB19))),
% 218.68/141.24 inference(unit_resolution,[status(thm)],[26868, 26843])).
% 218.68/141.24 tff(26870,plain,
% 218.68/141.24 ((v111(constB19) | v116(constB19)) | (~v111(constB19))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26871,plain,
% 218.68/141.25 (~v111(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26870, 26869])).
% 218.68/141.25 tff(26872,plain,
% 218.68/141.25 ((~(v111(constB19) <=> (v112(constB19) | v115(constB19)))) | v111(constB19) | (~(v112(constB19) | v115(constB19)))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26873,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26872, 26871, 26866, 26850])).
% 218.68/141.25 tff(26874,plain,((v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)) | v109(constB19)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(26875,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26874, 26853, 26354])).
% 218.68/141.25 tff(26876,plain,(v109(constB19) | v84(constB19, 1) | v84(constB19, 0) | v84(constB19, 2)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(26877,plain,
% 218.68/141.25 (v84(constB19, 1)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26876, 26354, 26703, 21475])).
% 218.68/141.25 tff(26878,plain,
% 218.68/141.25 ((~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))) | v84(constB19, 0) | (~v84(constB19, 1))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26673, 21475])).
% 218.68/141.25 tff(26879,plain,
% 218.68/141.25 (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26878, 26877, 26703])).
% 218.68/141.25 tff(26880,plain,
% 218.68/141.25 (v115(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26221, 26879, 26762])).
% 218.68/141.25 tff(26881,plain,
% 218.68/141.25 ((v112(constB19) | v115(constB19)) | (~v115(constB19))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26882,plain,
% 218.68/141.25 (v112(constB19) | v115(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26881, 26880])).
% 218.68/141.25 tff(26883,plain,
% 218.68/141.25 (~v111(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26870, 26848])).
% 218.68/141.25 tff(26884,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26872, 26883, 26882, 26850])).
% 218.68/141.25 tff(26885,plain,(v109(constB19) | v84(constB19, 0) | v84(constB19, 2)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(26886,plain,
% 218.68/141.25 (v84(constB19, 0)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26885, 26354, 21475])).
% 218.68/141.25 tff(26887,assumption,(v84(constB19, 0)), introduced(assumption)).
% 218.68/141.25 tff(26888,plain,
% 218.68/141.25 ((~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))) | v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26889,plain,
% 218.68/141.25 (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26888, 26851, 26887, 21475])).
% 218.68/141.25 tff(26890,plain,
% 218.68/141.25 ((~(v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))))) | v114(constB19) | (v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26891,plain,
% 218.68/141.25 ((~(v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))))) | v114(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26890, 26889])).
% 218.68/141.25 tff(26892,plain,
% 218.68/141.25 (v114(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26891, 26766])).
% 218.68/141.25 tff(26893,plain,
% 218.68/141.25 ((v113(constB19) | v114(constB19)) | (~v114(constB19))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26894,plain,
% 218.68/141.25 (v113(constB19) | v114(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26893, 26892])).
% 218.68/141.25 tff(26895,plain,
% 218.68/141.25 ((~(v112(constB19) <=> (v113(constB19) | v114(constB19)))) | v112(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26862, 26894])).
% 218.68/141.25 tff(26896,plain,
% 218.68/141.25 (v112(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26895, 26855])).
% 218.68/141.25 tff(26897,plain,
% 218.68/141.25 (v112(constB19) | v115(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26865, 26896])).
% 218.68/141.25 tff(26898,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26872, 26871, 26897, 26850])).
% 218.68/141.25 tff(26899,plain,(v109(constB19) | v84(constB19, 1) | (~v84(constB19, 0)) | v84(constB19, 2)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(26900,plain,
% 218.68/141.25 (v84(constB19, 1)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26899, 26886, 21475, 26354])).
% 218.68/141.25 tff(26901,plain,
% 218.68/141.25 ((~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))) | v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26902,plain,
% 218.68/141.25 ((~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))) | (~v84(constB19, 0)) | (~v84(constB19, 1))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26901, 21475])).
% 218.68/141.25 tff(26903,plain,
% 218.68/141.25 (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26902, 26900, 26886])).
% 218.68/141.25 tff(26904,plain,
% 218.68/141.25 ((~(v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))))) | v116(constB19) | (v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26905,plain,
% 218.68/141.25 (v116(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26904, 26903, 26756])).
% 218.68/141.25 tff(26906,plain,
% 218.68/141.25 ((v111(constB19) | v116(constB19)) | (~v116(constB19))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26907,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26906, 26905, 26848])).
% 218.68/141.25 tff(26908,plain,(v109(constB19) | v84(constB19, 2)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(26909,plain,
% 218.68/141.25 (v84(constB19, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26908, 26840])).
% 218.68/141.25 tff(26910,plain,
% 218.68/141.25 (v84(constB19, 0)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26804, 26909, 26682, 26841])).
% 218.68/141.25 tff(26911,plain,
% 218.68/141.25 ((~(v84(constB20, 0) <=> v84(constB19, 0))) | v84(constB20, 0) | (~v84(constB19, 0))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26912,plain,
% 218.68/141.25 (~(v84(constB20, 0) <=> v84(constB19, 0))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26911, 26910, 26832])).
% 218.68/141.25 tff(26913,plain,
% 218.68/141.25 ((~(v102(constB19) <=> (v105(constB19) | v106(constB19)))) | (~v102(constB19)) | (v105(constB19) | v106(constB19))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26914,plain,
% 218.68/141.25 ((~v102(constB19)) | (v105(constB19) | v106(constB19))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26913, 26396])).
% 218.68/141.25 tff(26915,plain,
% 218.68/141.25 (~v102(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26914, 26833])).
% 218.68/141.25 tff(26916,plain,
% 218.68/141.25 ((~(v104(constB20) <=> v102(constB19))) | (~v104(constB20)) | v102(constB19)),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26917,plain,
% 218.68/141.25 ((~v104(constB20)) | v102(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26916, 26403])).
% 218.68/141.25 tff(26918,plain,
% 218.68/141.25 (~v104(constB20)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26917, 26915])).
% 218.68/141.25 tff(26919,plain,
% 218.68/141.25 (((~v95(constB20)) | (~v104(constB20))) | v104(constB20)),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26920,plain,
% 218.68/141.25 ((~v95(constB20)) | (~v104(constB20))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26919, 26918])).
% 218.68/141.25 tff(26921,plain,
% 218.68/141.25 ((~(v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20)))))) | (~v94(constB20)) | (~((~v95(constB20)) | (~v104(constB20))))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26922,plain,
% 218.68/141.25 ((~v94(constB20)) | (~((~v95(constB20)) | (~v104(constB20))))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26921, 26441])).
% 218.68/141.25 tff(26923,plain,
% 218.68/141.25 (~v94(constB20)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26922, 26920])).
% 218.68/141.25 tff(26924,plain,
% 218.68/141.25 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB20) | (~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB20) | (~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B))))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(26925,plain,
% 218.68/141.25 ((v94(constB20) | (~nextState(constB19, constB20)) | ![B: $int] : ((v84(constB20, B) <=> v84(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB20) | (~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B))))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(26926,plain,
% 218.68/141.25 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB20) | (~nextState(constB19, constB20)) | ![B: $int] : ((v84(constB20, B) <=> v84(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB20) | (~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[26925])).
% 218.68/141.25 tff(26927,plain,
% 218.68/141.25 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB20) | (~nextState(constB19, constB20)) | ![B: $int] : ((v84(constB20, B) <=> v84(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB20) | (~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B))))),
% 218.68/141.25 inference(transitivity,[status(thm)],[26926, 26924])).
% 218.68/141.25 tff(26928,plain,
% 218.68/141.25 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB20) | (~nextState(constB19, constB20)) | ![B: $int] : ((v84(constB20, B) <=> v84(constB19, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.68/141.25 inference(quant_inst,[status(thm)],[])).
% 218.68/141.25 tff(26929,plain,
% 218.68/141.25 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB20) | (~nextState(constB19, constB20)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))),
% 218.68/141.25 inference(modus_ponens,[status(thm)],[26928, 26927])).
% 218.68/141.25 tff(26930,plain,
% 218.68/141.25 (v94(constB20) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26929, 26324, 235])).
% 218.68/141.25 tff(26931,plain,
% 218.68/141.25 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26930, 26923])).
% 218.68/141.25 tff(26932,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 0) <=> v84(constB19, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 0) <=> v84(constB19, 0)))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(26933,plain,
% 218.68/141.25 (($false | $false | (v84(constB20, 0) <=> v84(constB19, 0))) <=> (v84(constB20, 0) <=> v84(constB19, 0))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(26934,plain,
% 218.68/141.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB20, 0) <=> v84(constB19, 0))) <=> ($false | $false | (v84(constB20, 0) <=> v84(constB19, 0)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[250, 249])).
% 218.68/141.25 tff(26935,plain,
% 218.68/141.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB20, 0) <=> v84(constB19, 0))) <=> (v84(constB20, 0) <=> v84(constB19, 0))),
% 218.68/141.25 inference(transitivity,[status(thm)],[26934, 26933])).
% 218.68/141.25 tff(26936,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB20, 0) <=> v84(constB19, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 0) <=> v84(constB19, 0)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[26935])).
% 218.68/141.25 tff(26937,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB20, 0) <=> v84(constB19, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 0) <=> v84(constB19, 0)))),
% 218.68/141.25 inference(transitivity,[status(thm)],[26936, 26932])).
% 218.68/141.25 tff(26938,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB20, 0) <=> v84(constB19, 0)))),
% 218.68/141.25 inference(quant_inst,[status(thm)],[])).
% 218.68/141.25 tff(26939,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 0) <=> v84(constB19, 0))),
% 218.68/141.25 inference(modus_ponens,[status(thm)],[26938, 26937])).
% 218.68/141.25 tff(26940,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26939, 26931, 26912])).
% 218.68/141.25 tff(26941,plain,((v105(constB19) | v106(constB19)) | v84(constB20, 0) | (~v84(constB20, 1))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(26942,plain,
% 218.68/141.25 (v105(constB19) | v106(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26941, 26219, 26831])).
% 218.68/141.25 tff(26943,plain,
% 218.68/141.25 ((~(v105(constB19) | v106(constB19))) | v105(constB19) | v106(constB19)),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26944,plain,
% 218.68/141.25 ((~(v105(constB19) | v106(constB19))) | v106(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26943, 26305])).
% 218.68/141.25 tff(26945,plain,
% 218.68/141.25 (v106(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26944, 26942])).
% 218.68/141.25 tff(26946,plain,
% 218.68/141.25 ((~(v106(constB19) <=> (~((~v107(constB19)) | (~v120(constB19)))))) | (~v106(constB19)) | (~((~v107(constB19)) | (~v120(constB19))))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26947,plain,
% 218.68/141.25 ((~v106(constB19)) | (~((~v107(constB19)) | (~v120(constB19))))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26946, 26389])).
% 218.68/141.25 tff(26948,plain,
% 218.68/141.25 (~((~v107(constB19)) | (~v120(constB19)))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26947, 26945])).
% 218.68/141.25 tff(26949,plain,
% 218.68/141.25 (((~v107(constB19)) | (~v120(constB19))) | v107(constB19)),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26950,plain,
% 218.68/141.25 (v107(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26949, 26948])).
% 218.68/141.25 tff(26951,plain,
% 218.68/141.25 ((~(v107(constB19) <=> (v108(constB19) | v119(constB19)))) | (~v107(constB19)) | (v108(constB19) | v119(constB19))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26952,plain,
% 218.68/141.25 ((~v107(constB19)) | (v108(constB19) | v119(constB19))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26951, 26376])).
% 218.68/141.25 tff(26953,plain,
% 218.68/141.25 (v108(constB19) | v119(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26952, 26950])).
% 218.68/141.25 tff(26954,assumption,(~(v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))))), introduced(assumption)).
% 218.68/141.25 tff(26955,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26347, 656, 26954])).
% 218.68/141.25 tff(26956,plain,(v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(26957,plain,
% 218.68/141.25 ((~v117(constB19)) | (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26748, 26956])).
% 218.68/141.25 tff(26958,plain,
% 218.68/141.25 (~v117(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26957, 26494])).
% 218.68/141.25 tff(26959,assumption,(~v114(constB19)), introduced(assumption)).
% 218.68/141.25 tff(26960,assumption,(~v94(constB20)), introduced(assumption)).
% 218.68/141.25 tff(26961,plain,
% 218.68/141.25 ((~v95(constB20)) | (~v104(constB20))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26443, 26960])).
% 218.68/141.25 tff(26962,plain,
% 218.68/141.25 (~v104(constB20)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26436, 26961])).
% 218.68/141.25 tff(26963,plain,
% 218.68/141.25 (~v102(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26405, 26962])).
% 218.68/141.25 tff(26964,plain,
% 218.68/141.25 (~(v105(constB19) | v106(constB19))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26398, 26963])).
% 218.68/141.25 tff(26965,plain,
% 218.68/141.25 (~v106(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26393, 26964])).
% 218.68/141.25 tff(26966,plain,
% 218.68/141.25 ((~v107(constB19)) | (~v120(constB19))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26391, 26965])).
% 218.68/141.25 tff(26967,plain,
% 218.68/141.25 (~v107(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26386, 26966])).
% 218.68/141.25 tff(26968,plain,
% 218.68/141.25 (~(v108(constB19) | v119(constB19))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26378, 26967])).
% 218.68/141.25 tff(26969,plain,
% 218.68/141.25 (~v108(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26371, 26968])).
% 218.68/141.25 tff(26970,plain,
% 218.68/141.25 (~(v109(constB19) | v118(constB19))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26369, 26969])).
% 218.68/141.25 tff(26971,plain,
% 218.68/141.25 (~v109(constB19)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26362, 26970])).
% 218.68/141.25 tff(26972,plain,
% 218.68/141.25 (v84(constB19, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26908, 26971])).
% 218.68/141.25 tff(26973,plain,
% 218.68/141.25 ((~(v84(constB20, 2) <=> v84(constB19, 2))) | v84(constB20, 2) | (~v84(constB19, 2))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(26974,plain,
% 218.68/141.25 (~(v84(constB20, 2) <=> v84(constB19, 2))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26973, 26972, 26462])).
% 218.68/141.25 tff(26975,plain,
% 218.68/141.25 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26930, 26960])).
% 218.68/141.25 tff(26976,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 2) <=> v84(constB19, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 2) <=> v84(constB19, 2)))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(26977,plain,
% 218.68/141.25 (($false | $false | (v84(constB20, 2) <=> v84(constB19, 2))) <=> (v84(constB20, 2) <=> v84(constB19, 2))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(26978,plain,
% 218.68/141.25 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB20, 2) <=> v84(constB19, 2))) <=> ($false | $false | (v84(constB20, 2) <=> v84(constB19, 2)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[534, 533])).
% 218.68/141.25 tff(26979,plain,
% 218.68/141.25 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB20, 2) <=> v84(constB19, 2))) <=> (v84(constB20, 2) <=> v84(constB19, 2))),
% 218.68/141.25 inference(transitivity,[status(thm)],[26978, 26977])).
% 218.68/141.25 tff(26980,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB20, 2) <=> v84(constB19, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 2) <=> v84(constB19, 2)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[26979])).
% 218.68/141.25 tff(26981,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB20, 2) <=> v84(constB19, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 2) <=> v84(constB19, 2)))),
% 218.68/141.25 inference(transitivity,[status(thm)],[26980, 26976])).
% 218.68/141.25 tff(26982,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB20, 2) <=> v84(constB19, 2)))),
% 218.68/141.25 inference(quant_inst,[status(thm)],[])).
% 218.68/141.25 tff(26983,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 2) <=> v84(constB19, 2))),
% 218.68/141.25 inference(modus_ponens,[status(thm)],[26982, 26981])).
% 218.68/141.25 tff(26984,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26983, 26975, 26974])).
% 218.68/141.25 tff(26985,plain,(v94(constB20) | v84(constB20, 2)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(26986,plain,
% 218.68/141.25 (v94(constB20)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26985, 26298])).
% 218.68/141.25 tff(26987,plain,
% 218.68/141.25 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26451, 26986])).
% 218.68/141.25 tff(26988,assumption,(~(v84(constB20, 1) <=> v123(constB20, 1))), introduced(assumption)).
% 218.68/141.25 tff(26989,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))), introduced(assumption)).
% 218.68/141.25 tff(26990,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26731, 26989, 26988])).
% 218.68/141.25 tff(26991,plain,((v84(constB20, 1) <=> v123(constB20, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(26992,plain,
% 218.68/141.25 (v84(constB20, 1) <=> v123(constB20, 1)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26991, 26987])).
% 218.68/141.25 tff(26993,assumption,(~(v84(constB20, 2) <=> v123(constB20, 2))), introduced(assumption)).
% 218.68/141.25 tff(26994,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26460, 26989, 26993])).
% 218.68/141.25 tff(26995,plain,((v84(constB20, 2) <=> v123(constB20, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(26996,plain,
% 218.68/141.25 (v84(constB20, 2) <=> v123(constB20, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26995, 26987])).
% 218.68/141.25 tff(26997,assumption,(~(v84(constB20, 0) <=> v123(constB20, 0))), introduced(assumption)).
% 218.68/141.25 tff(26998,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 0) <=> v123(constB20, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 0) <=> v123(constB20, 0)))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(26999,plain,
% 218.68/141.25 (($false | $false | (v84(constB20, 0) <=> v123(constB20, 0))) <=> (v84(constB20, 0) <=> v123(constB20, 0))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(27000,plain,
% 218.68/141.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB20, 0) <=> v123(constB20, 0))) <=> ($false | $false | (v84(constB20, 0) <=> v123(constB20, 0)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[250, 249])).
% 218.68/141.25 tff(27001,plain,
% 218.68/141.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB20, 0) <=> v123(constB20, 0))) <=> (v84(constB20, 0) <=> v123(constB20, 0))),
% 218.68/141.25 inference(transitivity,[status(thm)],[27000, 26999])).
% 218.68/141.25 tff(27002,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB20, 0) <=> v123(constB20, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 0) <=> v123(constB20, 0)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[27001])).
% 218.68/141.25 tff(27003,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB20, 0) <=> v123(constB20, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 0) <=> v123(constB20, 0)))),
% 218.68/141.25 inference(transitivity,[status(thm)],[27002, 26998])).
% 218.68/141.25 tff(27004,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB20, 0) <=> v123(constB20, 0)))),
% 218.68/141.25 inference(quant_inst,[status(thm)],[])).
% 218.68/141.25 tff(27005,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))) | (v84(constB20, 0) <=> v123(constB20, 0))),
% 218.68/141.25 inference(modus_ponens,[status(thm)],[27004, 27003])).
% 218.68/141.25 tff(27006,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27005, 26989, 26997])).
% 218.68/141.25 tff(27007,plain,((v84(constB20, 0) <=> v123(constB20, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(27008,plain,
% 218.68/141.25 (v84(constB20, 0) <=> v123(constB20, 0)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27007, 26987])).
% 218.68/141.25 tff(27009,plain,
% 218.68/141.25 (v84(constB21, 2) <=> v84(constB20, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26293, 26206])).
% 218.68/141.25 tff(27010,assumption,(v84(constB20, 2) <=> v123(constB20, 2)), introduced(assumption)).
% 218.68/141.25 tff(27011,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))), introduced(assumption)).
% 218.68/141.25 tff(27012,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 2) <=> b110(2)))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(27013,plain,
% 218.68/141.25 (($false | $false | (v124(constB19, 2) <=> b110(2))) <=> (v124(constB19, 2) <=> b110(2))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(27014,plain,
% 218.68/141.25 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b110(2))) <=> ($false | $false | (v124(constB19, 2) <=> b110(2)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[534, 533])).
% 218.68/141.25 tff(27015,plain,
% 218.68/141.25 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b110(2))) <=> (v124(constB19, 2) <=> b110(2))),
% 218.68/141.25 inference(transitivity,[status(thm)],[27014, 27013])).
% 218.68/141.25 tff(27016,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 2) <=> b110(2)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[27015])).
% 218.68/141.25 tff(27017,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 2) <=> b110(2)))),
% 218.68/141.25 inference(transitivity,[status(thm)],[27016, 27012])).
% 218.68/141.25 tff(27018,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b110(2)))),
% 218.68/141.25 inference(quant_inst,[status(thm)],[])).
% 218.68/141.25 tff(27019,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 2) <=> b110(2))),
% 218.68/141.25 inference(modus_ponens,[status(thm)],[27018, 27017])).
% 218.68/141.25 tff(27020,plain,
% 218.68/141.25 (v124(constB19, 2) <=> b110(2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27019, 27011])).
% 218.68/141.25 tff(27021,plain,
% 218.68/141.25 ((~(v124(constB19, 2) <=> b110(2))) | v124(constB19, 2) | (~b110(2))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27022,plain,
% 218.68/141.25 ((~(v124(constB19, 2) <=> b110(2))) | v124(constB19, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27021, 1598])).
% 218.68/141.25 tff(27023,plain,
% 218.68/141.25 (v124(constB19, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27022, 27020])).
% 218.68/141.25 tff(27024,plain,
% 218.68/141.25 ((~(v121(constB19, 2) <=> v124(constB19, 2))) | v121(constB19, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26490, 27023])).
% 218.68/141.25 tff(27025,plain,
% 218.68/141.25 (v121(constB19, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27024, 26321])).
% 218.68/141.25 tff(27026,plain,
% 218.68/141.25 ((~(v123(constB20, 2) <=> v121(constB19, 2))) | v123(constB20, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26466, 27025])).
% 218.68/141.25 tff(27027,plain,
% 218.68/141.25 (v123(constB20, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27026, 26340])).
% 218.68/141.25 tff(27028,plain,
% 218.68/141.25 (v84(constB20, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26463, 27027, 27010])).
% 218.68/141.25 tff(27029,plain,
% 218.68/141.25 ((~(v84(constB21, 2) <=> v84(constB20, 2))) | v84(constB21, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26296, 27028])).
% 218.68/141.25 tff(27030,plain,
% 218.68/141.25 (v84(constB21, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27029, 27009])).
% 218.68/141.25 tff(27031,plain,
% 218.68/141.25 (((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)) | (~v84(constB21, 2))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27032,plain,
% 218.68/141.25 ((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27031, 27030])).
% 218.68/141.25 tff(27033,plain,
% 218.68/141.25 ((~(v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))))) | (~v116(constB21)) | (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27034,plain,
% 218.68/141.25 (~v116(constB21)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27033, 27032, 25568])).
% 218.68/141.25 tff(27035,plain,
% 218.68/141.25 ((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26283, 27030])).
% 218.68/141.25 tff(27036,plain,
% 218.68/141.25 (~v115(constB21)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26280, 27035, 25585])).
% 218.68/141.25 tff(27037,plain,
% 218.68/141.25 (v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[25996, 394])).
% 218.68/141.25 tff(27038,assumption,(v84(constB20, 1) <=> v123(constB20, 1)), introduced(assumption)).
% 218.68/141.25 tff(27039,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 1) <=> b110(1)))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(27040,plain,
% 218.68/141.25 (($false | $false | (v124(constB19, 1) <=> b110(1))) <=> (v124(constB19, 1) <=> b110(1))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(27041,plain,
% 218.68/141.25 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b110(1))) <=> ($false | $false | (v124(constB19, 1) <=> b110(1)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.25 tff(27042,plain,
% 218.68/141.25 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b110(1))) <=> (v124(constB19, 1) <=> b110(1))),
% 218.68/141.25 inference(transitivity,[status(thm)],[27041, 27040])).
% 218.68/141.25 tff(27043,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 1) <=> b110(1)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[27042])).
% 218.68/141.25 tff(27044,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 1) <=> b110(1)))),
% 218.68/141.25 inference(transitivity,[status(thm)],[27043, 27039])).
% 218.68/141.25 tff(27045,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b110(1)))),
% 218.68/141.25 inference(quant_inst,[status(thm)],[])).
% 218.68/141.25 tff(27046,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 1) <=> b110(1))),
% 218.68/141.25 inference(modus_ponens,[status(thm)],[27045, 27044])).
% 218.68/141.25 tff(27047,plain,
% 218.68/141.25 (v124(constB19, 1) <=> b110(1)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27046, 27011])).
% 218.68/141.25 tff(27048,plain,
% 218.68/141.25 ((~(v124(constB19, 1) <=> b110(1))) | v124(constB19, 1) | (~b110(1))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27049,plain,
% 218.68/141.25 ((~(v124(constB19, 1) <=> b110(1))) | v124(constB19, 1)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27048, 1662])).
% 218.68/141.25 tff(27050,plain,
% 218.68/141.25 (v124(constB19, 1)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27049, 27047])).
% 218.68/141.25 tff(27051,assumption,(~(v121(constB19, 1) <=> v124(constB19, 1))), introduced(assumption)).
% 218.68/141.25 tff(27052,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26690, 26312, 27051])).
% 218.68/141.25 tff(27053,plain,(v121(constB19, 1) <=> v124(constB19, 1)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(27054,plain,
% 218.68/141.25 ((~(v121(constB19, 1) <=> v124(constB19, 1))) | v121(constB19, 1) | (~v124(constB19, 1))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27055,plain,
% 218.68/141.25 (v121(constB19, 1) | (~v124(constB19, 1))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27054, 27053])).
% 218.68/141.25 tff(27056,plain,
% 218.68/141.25 (v121(constB19, 1)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27055, 27050])).
% 218.68/141.25 tff(27057,assumption,(~(v123(constB20, 1) <=> v121(constB19, 1))), introduced(assumption)).
% 218.68/141.25 tff(27058,plain,
% 218.68/141.25 ($false),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26699, 26331, 27057])).
% 218.68/141.25 tff(27059,plain,(v123(constB20, 1) <=> v121(constB19, 1)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.25 tff(27060,plain,
% 218.68/141.25 ((~(v123(constB20, 1) <=> v121(constB19, 1))) | v123(constB20, 1) | (~v121(constB19, 1))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27061,plain,
% 218.68/141.25 (v123(constB20, 1) | (~v121(constB19, 1))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27060, 27059])).
% 218.68/141.25 tff(27062,plain,
% 218.68/141.25 (v123(constB20, 1)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27061, 27056])).
% 218.68/141.25 tff(27063,plain,
% 218.68/141.25 ((~(v84(constB20, 1) <=> v123(constB20, 1))) | v84(constB20, 1) | (~v123(constB20, 1))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27064,plain,
% 218.68/141.25 (v84(constB20, 1)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27063, 27062, 27038])).
% 218.68/141.25 tff(27065,plain,
% 218.68/141.25 ((~(v84(constB21, 1) <=> v84(constB20, 1))) | v84(constB21, 1) | (~v84(constB20, 1))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27066,plain,
% 218.68/141.25 (v84(constB21, 1) | (~v84(constB20, 1))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27065, 26216])).
% 218.68/141.25 tff(27067,plain,
% 218.68/141.25 (v84(constB21, 1)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27066, 27064])).
% 218.68/141.25 tff(27068,plain,
% 218.68/141.25 ((v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))) | (~v84(constB21, 1))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27069,plain,
% 218.68/141.25 (v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27068, 27067])).
% 218.68/141.25 tff(27070,plain,
% 218.68/141.25 ((~(v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))))) | (~v118(constB21)) | (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27071,plain,
% 218.68/141.25 ((~(v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))))) | (~v118(constB21))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27070, 27069])).
% 218.68/141.25 tff(27072,plain,
% 218.68/141.25 (~v118(constB21)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27071, 27037])).
% 218.68/141.25 tff(27073,plain,
% 218.68/141.25 (v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[25959, 656])).
% 218.68/141.25 tff(27074,plain,
% 218.68/141.25 ((v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))) | (~v84(constB21, 1))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27075,plain,
% 218.68/141.25 (v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27074, 27067])).
% 218.68/141.25 tff(27076,plain,
% 218.68/141.25 ((~(v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))))) | (~v117(constB21)) | (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27077,plain,
% 218.68/141.25 ((~(v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))))) | (~v117(constB21))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27076, 27075])).
% 218.68/141.25 tff(27078,plain,
% 218.68/141.25 (~v117(constB21)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27077, 27073])).
% 218.68/141.25 tff(27079,plain,
% 218.68/141.25 ((v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)) | (~v84(constB21, 1))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27080,plain,
% 218.68/141.25 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27079, 27067])).
% 218.68/141.25 tff(27081,plain,
% 218.68/141.25 ((~(v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))))) | (~v114(constB21)) | (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27082,plain,
% 218.68/141.25 ((~(v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))))) | (~v114(constB21))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27081, 27080])).
% 218.68/141.25 tff(27083,plain,
% 218.68/141.25 (~v114(constB21)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27082, 26079])).
% 218.68/141.25 tff(27084,plain,
% 218.68/141.25 ((v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)) | (~v84(constB21, 1))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27085,plain,
% 218.68/141.25 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27084, 27067])).
% 218.68/141.25 tff(27086,plain,
% 218.68/141.25 ((~(v113(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))))) | (~v113(constB21)) | (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)))),
% 218.68/141.25 inference(tautology,[status(thm)],[])).
% 218.68/141.25 tff(27087,plain,
% 218.68/141.25 ((~v113(constB21)) | (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27086, 25915])).
% 218.68/141.25 tff(27088,plain,
% 218.68/141.25 (~v113(constB21)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27087, 27085])).
% 218.68/141.25 tff(27089,plain,
% 218.68/141.25 (v115(constB21) | v116(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26272, 1807, 27088, 27083, 27078, 27072])).
% 218.68/141.25 tff(27090,plain,
% 218.68/141.25 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27089, 27036, 27034])).
% 218.68/141.25 tff(27091,plain,
% 218.68/141.25 (v124(constB21, 0)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[25746, 27090])).
% 218.68/141.25 tff(27092,plain,
% 218.68/141.25 (v121(constB21, 0)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[25767, 27091])).
% 218.68/141.25 tff(27093,plain,
% 218.68/141.25 (v123(constB22, 0)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[25788, 27092])).
% 218.68/141.25 tff(27094,plain,
% 218.68/141.25 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2))))))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(27095,plain,
% 218.68/141.25 ((v119(constB21) <=> (~(v84(constB21, 0) | (~v84(constB21, 1)) | (~v84(constB21, 2))))) <=> (v119(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2)))))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(27096,plain,
% 218.68/141.25 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB21) <=> (~(v84(constB21, 0) | (~v84(constB21, 1)) | (~v84(constB21, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2))))))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[27095])).
% 218.68/141.25 tff(27097,plain,
% 218.68/141.25 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB21) <=> (~(v84(constB21, 0) | (~v84(constB21, 1)) | (~v84(constB21, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2))))))),
% 218.68/141.25 inference(transitivity,[status(thm)],[27096, 27094])).
% 218.68/141.25 tff(27098,plain,
% 218.68/141.25 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB21) <=> (~(v84(constB21, 0) | (~v84(constB21, 1)) | (~v84(constB21, 2)))))),
% 218.68/141.25 inference(quant_inst,[status(thm)],[])).
% 218.68/141.25 tff(27099,plain,
% 218.68/141.25 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2)))))),
% 218.68/141.25 inference(modus_ponens,[status(thm)],[27098, 27097])).
% 218.68/141.25 tff(27100,plain,
% 218.68/141.25 (v119(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2))))),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27099, 318])).
% 218.68/141.25 tff(27101,plain,
% 218.68/141.25 (v84(constB21, 0) <=> v84(constB20, 0)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[26826, 26206])).
% 218.68/141.25 tff(27102,assumption,(v84(constB20, 0) <=> v123(constB20, 0)), introduced(assumption)).
% 218.68/141.25 tff(27103,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 0) <=> v121(constB19, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 0) <=> v121(constB19, 0)))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(27104,plain,
% 218.68/141.25 (($false | $false | (v123(constB20, 0) <=> v121(constB19, 0))) <=> (v123(constB20, 0) <=> v121(constB19, 0))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(27105,plain,
% 218.68/141.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB20, 0) <=> v121(constB19, 0))) <=> ($false | $false | (v123(constB20, 0) <=> v121(constB19, 0)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[250, 249])).
% 218.68/141.25 tff(27106,plain,
% 218.68/141.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB20, 0) <=> v121(constB19, 0))) <=> (v123(constB20, 0) <=> v121(constB19, 0))),
% 218.68/141.25 inference(transitivity,[status(thm)],[27105, 27104])).
% 218.68/141.25 tff(27107,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB20, 0) <=> v121(constB19, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 0) <=> v121(constB19, 0)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[27106])).
% 218.68/141.25 tff(27108,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB20, 0) <=> v121(constB19, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 0) <=> v121(constB19, 0)))),
% 218.68/141.25 inference(transitivity,[status(thm)],[27107, 27103])).
% 218.68/141.25 tff(27109,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB20, 0) <=> v121(constB19, 0)))),
% 218.68/141.25 inference(quant_inst,[status(thm)],[])).
% 218.68/141.25 tff(27110,plain,
% 218.68/141.25 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB20, B) <=> v121(constB19, B)))) | (v123(constB20, 0) <=> v121(constB19, 0))),
% 218.68/141.25 inference(modus_ponens,[status(thm)],[27109, 27108])).
% 218.68/141.25 tff(27111,plain,
% 218.68/141.25 (v123(constB20, 0) <=> v121(constB19, 0)),
% 218.68/141.25 inference(unit_resolution,[status(thm)],[27110, 26331])).
% 218.68/141.25 tff(27112,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 0) <=> v124(constB19, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 0) <=> v124(constB19, 0)))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(27113,plain,
% 218.68/141.25 (($false | $false | (v121(constB19, 0) <=> v124(constB19, 0))) <=> (v121(constB19, 0) <=> v124(constB19, 0))),
% 218.68/141.25 inference(rewrite,[status(thm)],[])).
% 218.68/141.25 tff(27114,plain,
% 218.68/141.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB19, 0) <=> v124(constB19, 0))) <=> ($false | $false | (v121(constB19, 0) <=> v124(constB19, 0)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[250, 249])).
% 218.68/141.25 tff(27115,plain,
% 218.68/141.25 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB19, 0) <=> v124(constB19, 0))) <=> (v121(constB19, 0) <=> v124(constB19, 0))),
% 218.68/141.25 inference(transitivity,[status(thm)],[27114, 27113])).
% 218.68/141.25 tff(27116,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB19, 0) <=> v124(constB19, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 0) <=> v124(constB19, 0)))),
% 218.68/141.25 inference(monotonicity,[status(thm)],[27115])).
% 218.68/141.25 tff(27117,plain,
% 218.68/141.25 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB19, 0) <=> v124(constB19, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 0) <=> v124(constB19, 0)))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27116, 27112])).
% 218.68/141.26 tff(27118,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB19, 0) <=> v124(constB19, 0)))),
% 218.68/141.26 inference(quant_inst,[status(thm)],[])).
% 218.68/141.26 tff(27119,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB19, B) <=> v124(constB19, B)))) | (v121(constB19, 0) <=> v124(constB19, 0))),
% 218.68/141.26 inference(modus_ponens,[status(thm)],[27118, 27117])).
% 218.68/141.26 tff(27120,plain,
% 218.68/141.26 (v121(constB19, 0) <=> v124(constB19, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27119, 26312])).
% 218.68/141.26 tff(27121,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 0) <=> b110(0)))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27122,plain,
% 218.68/141.26 (($false | $false | (v124(constB19, 0) <=> b110(0))) <=> (v124(constB19, 0) <=> b110(0))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27123,plain,
% 218.68/141.26 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b110(0))) <=> ($false | $false | (v124(constB19, 0) <=> b110(0)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[250, 249])).
% 218.68/141.26 tff(27124,plain,
% 218.68/141.26 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b110(0))) <=> (v124(constB19, 0) <=> b110(0))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27123, 27122])).
% 218.68/141.26 tff(27125,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 0) <=> b110(0)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[27124])).
% 218.68/141.26 tff(27126,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 0) <=> b110(0)))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27125, 27121])).
% 218.68/141.26 tff(27127,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b110(0)))),
% 218.68/141.26 inference(quant_inst,[status(thm)],[])).
% 218.68/141.26 tff(27128,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (v124(constB19, 0) <=> b110(0))),
% 218.68/141.26 inference(modus_ponens,[status(thm)],[27127, 27126])).
% 218.68/141.26 tff(27129,plain,
% 218.68/141.26 (v124(constB19, 0) <=> b110(0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27128, 27011])).
% 218.68/141.26 tff(27130,plain,
% 218.68/141.26 ((~(v124(constB19, 0) <=> b110(0))) | (~v124(constB19, 0)) | b110(0)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27131,plain,
% 218.68/141.26 ((~(v124(constB19, 0) <=> b110(0))) | (~v124(constB19, 0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27130, 3186])).
% 218.68/141.26 tff(27132,plain,
% 218.68/141.26 (~v124(constB19, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27131, 27129])).
% 218.68/141.26 tff(27133,plain,
% 218.68/141.26 ((~(v121(constB19, 0) <=> v124(constB19, 0))) | (~v121(constB19, 0)) | v124(constB19, 0)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27134,plain,
% 218.68/141.26 ((~(v121(constB19, 0) <=> v124(constB19, 0))) | (~v121(constB19, 0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27133, 27132])).
% 218.68/141.26 tff(27135,plain,
% 218.68/141.26 (~v121(constB19, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27134, 27120])).
% 218.68/141.26 tff(27136,plain,
% 218.68/141.26 ((~(v123(constB20, 0) <=> v121(constB19, 0))) | (~v123(constB20, 0)) | v121(constB19, 0)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27137,plain,
% 218.68/141.26 ((~(v123(constB20, 0) <=> v121(constB19, 0))) | (~v123(constB20, 0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27136, 27135])).
% 218.68/141.26 tff(27138,plain,
% 218.68/141.26 (~v123(constB20, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27137, 27111])).
% 218.68/141.26 tff(27139,plain,
% 218.68/141.26 ((~(v84(constB20, 0) <=> v123(constB20, 0))) | (~v84(constB20, 0)) | v123(constB20, 0)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27140,plain,
% 218.68/141.26 (~v84(constB20, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27139, 27138, 27102])).
% 218.68/141.26 tff(27141,plain,
% 218.68/141.26 ((~(v84(constB21, 0) <=> v84(constB20, 0))) | (~v84(constB21, 0)) | v84(constB20, 0)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27142,plain,
% 218.68/141.26 ((~(v84(constB21, 0) <=> v84(constB20, 0))) | (~v84(constB21, 0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27141, 27140])).
% 218.68/141.26 tff(27143,plain,
% 218.68/141.26 (~v84(constB21, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27142, 27101])).
% 218.68/141.26 tff(27144,plain,
% 218.68/141.26 ((~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2)))) | (~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2))),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27145,plain,
% 218.68/141.26 ((~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2)))) | v84(constB21, 0) | (~v84(constB21, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27144, 27067])).
% 218.68/141.26 tff(27146,plain,
% 218.68/141.26 (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27145, 27143, 27030])).
% 218.68/141.26 tff(27147,plain,
% 218.68/141.26 ((~(v119(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2)))))) | v119(constB21) | ((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2)))),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27148,plain,
% 218.68/141.26 (v119(constB21)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27147, 27146, 27100])).
% 218.68/141.26 tff(27149,plain,
% 218.68/141.26 ((v108(constB21) | v119(constB21)) | (~v119(constB21))),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27150,plain,
% 218.68/141.26 (v108(constB21) | v119(constB21)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27149, 27148])).
% 218.68/141.26 tff(27151,plain,
% 218.68/141.26 (v107(constB21)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25623, 27150, 25609])).
% 218.68/141.26 tff(27152,plain,
% 218.68/141.26 (~((~v107(constB21)) | (~v120(constB21)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25621, 27151])).
% 218.68/141.26 tff(27153,plain,
% 218.68/141.26 (v106(constB21)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25613, 27152])).
% 218.68/141.26 tff(27154,plain,
% 218.68/141.26 (v105(constB21) | v106(constB21)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25640, 27153])).
% 218.68/141.26 tff(27155,plain,
% 218.68/141.26 (v102(constB21)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25643, 27154])).
% 218.68/141.26 tff(27156,plain,
% 218.68/141.26 (v104(constB22)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25646, 27155])).
% 218.68/141.26 tff(27157,plain,
% 218.68/141.26 (~((~v95(constB22)) | (~v104(constB22)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25680, 27156])).
% 218.68/141.26 tff(27158,plain,
% 218.68/141.26 (v94(constB22)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25683, 27157])).
% 218.68/141.26 tff(27159,plain,
% 218.68/141.26 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25691, 27158])).
% 218.68/141.26 tff(27160,plain,
% 218.68/141.26 (v84(constB22, 0) <=> v123(constB22, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25704, 27159])).
% 218.68/141.26 tff(27161,plain,
% 218.68/141.26 (v84(constB22, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25790, 27160, 27093])).
% 218.68/141.26 tff(27162,plain,
% 218.68/141.26 (v84(constB23, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25804, 27161])).
% 218.68/141.26 tff(27163,plain,
% 218.68/141.26 (v84(constB22, 2) <=> v123(constB22, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25716, 27159])).
% 218.68/141.26 tff(27164,plain,
% 218.68/141.26 (v124(constB21, 2) <=> b001(2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25815, 27090])).
% 218.68/141.26 tff(27165,plain,
% 218.68/141.26 (~v124(constB21, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25818, 27164])).
% 218.68/141.26 tff(27166,plain,
% 218.68/141.26 (~v121(constB21, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25832, 27165])).
% 218.68/141.26 tff(27167,plain,
% 218.68/141.26 (~v123(constB22, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25846, 27166])).
% 218.68/141.26 tff(27168,plain,
% 218.68/141.26 (~v84(constB22, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25848, 27167, 27163])).
% 218.68/141.26 tff(27169,plain,
% 218.68/141.26 (~v84(constB23, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25851, 27168])).
% 218.68/141.26 tff(27170,plain,
% 218.68/141.26 (v84(constB22, 1) <=> v123(constB22, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25730, 27159])).
% 218.68/141.26 tff(27171,plain,
% 218.68/141.26 (v124(constB21, 1) <=> b001(1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25861, 27090])).
% 218.68/141.26 tff(27172,plain,
% 218.68/141.26 (~v124(constB21, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25864, 27171])).
% 218.68/141.26 tff(27173,plain,
% 218.68/141.26 (~v121(constB21, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25878, 27172])).
% 218.68/141.26 tff(27174,plain,
% 218.68/141.26 (~v123(constB22, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25892, 27173])).
% 218.68/141.26 tff(27175,plain,
% 218.68/141.26 (~v84(constB22, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25894, 27174, 27170])).
% 218.68/141.26 tff(27176,plain,
% 218.68/141.26 (~v84(constB23, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25473, 27175])).
% 218.68/141.26 tff(27177,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25897, 27176, 27169, 25806, 27162])).
% 218.68/141.26 tff(27178,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))) | (~(v84(constB20, 0) <=> v123(constB20, 0))) | (~(v84(constB20, 2) <=> v123(constB20, 2))) | (~(v84(constB20, 1) <=> v123(constB20, 1)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27179,plain,
% 218.68/141.26 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27178, 27008, 25719, 26996, 26992])).
% 218.68/141.26 tff(27180,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))), introduced(assumption)).
% 218.68/141.26 tff(27181,assumption,(v118(constB19)), introduced(assumption)).
% 218.68/141.26 tff(27182,plain,
% 218.68/141.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B))))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27183,plain,
% 218.68/141.26 (((~v118(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B))))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27184,plain,
% 218.68/141.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[27183])).
% 218.68/141.26 tff(27185,plain,
% 218.68/141.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B))))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27184, 27182])).
% 218.68/141.26 tff(27186,plain,
% 218.68/141.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.68/141.26 inference(quant_inst,[status(thm)],[])).
% 218.68/141.26 tff(27187,plain,
% 218.68/141.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))),
% 218.68/141.26 inference(modus_ponens,[status(thm)],[27186, 27185])).
% 218.68/141.26 tff(27188,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27187, 1977, 27181, 27180])).
% 218.68/141.26 tff(27189,plain,((~v118(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27190,plain,
% 218.68/141.26 (~v118(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27189, 27179])).
% 218.68/141.26 tff(27191,assumption,(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)), introduced(assumption)).
% 218.68/141.26 tff(27192,plain,
% 218.68/141.26 ((~(v113(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))))) | (~v113(constB19))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[26774, 27191])).
% 218.68/141.26 tff(27193,plain,
% 218.68/141.26 (~v113(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27192, 26771])).
% 218.68/141.26 tff(27194,plain,
% 218.68/141.26 ((~(v113(constB19) | v114(constB19))) | v113(constB19) | v114(constB19)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27195,plain,
% 218.68/141.26 (~(v113(constB19) | v114(constB19))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27194, 26959, 27193])).
% 218.68/141.26 tff(27196,plain,
% 218.68/141.26 ((~(v112(constB19) <=> (v113(constB19) | v114(constB19)))) | (~v112(constB19)) | (v113(constB19) | v114(constB19))),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27197,plain,
% 218.68/141.26 ((~(v112(constB19) <=> (v113(constB19) | v114(constB19)))) | (~v112(constB19))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27196, 27195])).
% 218.68/141.26 tff(27198,plain,
% 218.68/141.26 (~v112(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27197, 26855])).
% 218.68/141.26 tff(27199,plain,
% 218.68/141.26 ((~(v112(constB19) | v115(constB19))) | v112(constB19) | v115(constB19)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27200,plain,
% 218.68/141.26 ((~(v112(constB19) | v115(constB19))) | v112(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27199, 26220])).
% 218.68/141.26 tff(27201,plain,
% 218.68/141.26 (~(v112(constB19) | v115(constB19))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27200, 27198])).
% 218.68/141.26 tff(27202,plain,
% 218.68/141.26 ((~(v111(constB19) <=> (v112(constB19) | v115(constB19)))) | (~v111(constB19)) | (v112(constB19) | v115(constB19))),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27203,plain,
% 218.68/141.26 (~v111(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27202, 27201, 26850])).
% 218.68/141.26 tff(27204,assumption,(~v118(constB19)), introduced(assumption)).
% 218.68/141.26 tff(27205,assumption,(v108(constB19) | v119(constB19)), introduced(assumption)).
% 218.68/141.26 tff(27206,plain,
% 218.68/141.26 ((~(v119(constB19) <=> (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))))) | (~v119(constB19)) | (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2))))),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27207,plain,
% 218.68/141.26 ((~(v119(constB19) <=> (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))))) | (~v119(constB19))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27206, 26705])).
% 218.68/141.26 tff(27208,plain,
% 218.68/141.26 (~v119(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27207, 26702])).
% 218.68/141.26 tff(27209,plain,
% 218.68/141.26 ((~(v108(constB19) | v119(constB19))) | v108(constB19) | v119(constB19)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27210,plain,
% 218.68/141.26 (v108(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27209, 27208, 27205])).
% 218.68/141.26 tff(27211,plain,
% 218.68/141.26 ((~(v108(constB19) <=> (v109(constB19) | v118(constB19)))) | (~v108(constB19)) | (v109(constB19) | v118(constB19))),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27212,plain,
% 218.68/141.26 ((~v108(constB19)) | (v109(constB19) | v118(constB19))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27211, 26367])).
% 218.68/141.26 tff(27213,plain,
% 218.68/141.26 (v109(constB19) | v118(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27212, 27210])).
% 218.68/141.26 tff(27214,plain,
% 218.68/141.26 ((~(v109(constB19) | v118(constB19))) | v109(constB19) | v118(constB19)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27215,plain,
% 218.68/141.26 (v109(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27214, 27213, 27204])).
% 218.68/141.26 tff(27216,plain,
% 218.68/141.26 ((~(v109(constB19) <=> (v110(constB19) | v117(constB19)))) | (~v109(constB19)) | (v110(constB19) | v117(constB19))),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27217,plain,
% 218.68/141.26 ((~(v109(constB19) <=> (v110(constB19) | v117(constB19)))) | (v110(constB19) | v117(constB19))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27216, 27215])).
% 218.68/141.26 tff(27218,plain,
% 218.68/141.26 (v110(constB19) | v117(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27217, 26353])).
% 218.68/141.26 tff(27219,assumption,(~v117(constB19)), introduced(assumption)).
% 218.68/141.26 tff(27220,plain,
% 218.68/141.26 ((~(v110(constB19) | v117(constB19))) | v110(constB19) | v117(constB19)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27221,plain,
% 218.68/141.26 ((~(v110(constB19) | v117(constB19))) | v110(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27220, 27219])).
% 218.68/141.26 tff(27222,plain,
% 218.68/141.26 (v110(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27221, 27218])).
% 218.68/141.26 tff(27223,plain,
% 218.68/141.26 ((~(v110(constB19) <=> (v111(constB19) | v116(constB19)))) | (~v110(constB19)) | (v111(constB19) | v116(constB19))),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27224,plain,
% 218.68/141.26 (v111(constB19) | v116(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27223, 27222, 26843])).
% 218.68/141.26 tff(27225,assumption,(~v116(constB19)), introduced(assumption)).
% 218.68/141.26 tff(27226,plain,
% 218.68/141.26 ((~(v111(constB19) | v116(constB19))) | v111(constB19) | v116(constB19)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27227,plain,
% 218.68/141.26 ((~(v111(constB19) | v116(constB19))) | v111(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27226, 27225])).
% 218.68/141.26 tff(27228,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27227, 27224, 27203])).
% 218.68/141.26 tff(27229,plain,(v114(constB19) | v116(constB19) | v117(constB19) | v115(constB19) | v118(constB19) | (~(v108(constB19) | v119(constB19))) | (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))) | (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27230,plain,
% 218.68/141.26 (v116(constB19)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27229, 27190, 26959, 26220, 26958, 26953, 26815, 26813])).
% 218.68/141.26 tff(27231,plain,
% 218.68/141.26 (~v123(constB20, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[26463, 26996, 26298])).
% 218.68/141.26 tff(27232,assumption,(~(v123(constB20, 2) <=> v121(constB19, 2))), introduced(assumption)).
% 218.68/141.26 tff(27233,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[26339, 26331, 27232])).
% 218.68/141.26 tff(27234,plain,(v123(constB20, 2) <=> v121(constB19, 2)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27235,plain,
% 218.68/141.26 (v123(constB20, 2) | (~v121(constB19, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[26466, 27234])).
% 218.68/141.26 tff(27236,plain,
% 218.68/141.26 (~v121(constB19, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27235, 27231])).
% 218.68/141.26 tff(27237,assumption,(~(v121(constB19, 2) <=> v124(constB19, 2))), introduced(assumption)).
% 218.68/141.26 tff(27238,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[26320, 26312, 27237])).
% 218.68/141.26 tff(27239,plain,(v121(constB19, 2) <=> v124(constB19, 2)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27240,plain,
% 218.68/141.26 (v121(constB19, 2) | (~v124(constB19, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[26490, 27239])).
% 218.68/141.26 tff(27241,plain,
% 218.68/141.26 (~v124(constB19, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27240, 27236])).
% 218.68/141.26 tff(27242,assumption,(~v124(constB19, 2)), introduced(assumption)).
% 218.68/141.26 tff(27243,plain,
% 218.68/141.26 ((~(v124(constB19, 2) <=> b100(2))) | v124(constB19, 2) | (~b100(2))),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27244,plain,
% 218.68/141.26 (~(v124(constB19, 2) <=> b100(2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27243, 2250, 27242])).
% 218.68/141.26 tff(27245,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))), introduced(assumption)).
% 218.68/141.26 tff(27246,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 2) <=> b100(2)))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27247,plain,
% 218.68/141.26 (($false | $false | (v124(constB19, 2) <=> b100(2))) <=> (v124(constB19, 2) <=> b100(2))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27248,plain,
% 218.68/141.26 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b100(2))) <=> ($false | $false | (v124(constB19, 2) <=> b100(2)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[534, 533])).
% 218.68/141.26 tff(27249,plain,
% 218.68/141.26 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b100(2))) <=> (v124(constB19, 2) <=> b100(2))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27248, 27247])).
% 218.68/141.26 tff(27250,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 2) <=> b100(2)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[27249])).
% 218.68/141.26 tff(27251,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 2) <=> b100(2)))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27250, 27246])).
% 218.68/141.26 tff(27252,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b100(2)))),
% 218.68/141.26 inference(quant_inst,[status(thm)],[])).
% 218.68/141.26 tff(27253,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 2) <=> b100(2))),
% 218.68/141.26 inference(modus_ponens,[status(thm)],[27252, 27251])).
% 218.68/141.26 tff(27254,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27253, 27245, 27244])).
% 218.68/141.26 tff(27255,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | v124(constB19, 2)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27256,plain,
% 218.68/141.26 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27255, 27241])).
% 218.68/141.26 tff(27257,assumption,(v116(constB19)), introduced(assumption)).
% 218.68/141.26 tff(27258,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))), introduced(assumption)).
% 218.68/141.26 tff(27259,plain,
% 218.68/141.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B))))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27260,plain,
% 218.68/141.26 (((~v116(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B))))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27261,plain,
% 218.68/141.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[27260])).
% 218.68/141.26 tff(27262,plain,
% 218.68/141.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B))))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27261, 27259])).
% 218.68/141.26 tff(27263,plain,
% 218.68/141.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.68/141.26 inference(quant_inst,[status(thm)],[])).
% 218.68/141.26 tff(27264,plain,
% 218.68/141.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))),
% 218.68/141.26 inference(modus_ponens,[status(thm)],[27263, 27262])).
% 218.68/141.26 tff(27265,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27264, 2230, 27258, 27257])).
% 218.68/141.26 tff(27266,plain,((~v116(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27267,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27266, 27256, 27230])).
% 218.68/141.26 tff(27268,plain,(((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))) | v114(constB19) | v115(constB19)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27269,plain,
% 218.68/141.26 ((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27268, 25423, 25414])).
% 218.68/141.26 tff(27270,plain,
% 218.68/141.26 (v84(constB18, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[26657, 25400])).
% 218.68/141.26 tff(27271,plain,
% 218.68/141.26 (v84(constB18, 2) <=> v123(constB18, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24032, 24947])).
% 218.68/141.26 tff(27272,assumption,(v84(constB18, 2)), introduced(assumption)).
% 218.68/141.26 tff(27273,plain,
% 218.68/141.26 ((~(v84(constB18, 2) <=> v123(constB18, 2))) | (~v84(constB18, 2)) | v123(constB18, 2)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27274,plain,
% 218.68/141.26 ((~(v84(constB18, 2) <=> v123(constB18, 2))) | v123(constB18, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27273, 27272])).
% 218.68/141.26 tff(27275,plain,
% 218.68/141.26 (v123(constB18, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27274, 27271])).
% 218.68/141.26 tff(27276,plain,
% 218.68/141.26 ((~(v123(constB18, 2) <=> v121(constB17, 2))) | (~v123(constB18, 2)) | v121(constB17, 2)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27277,plain,
% 218.68/141.26 ((~(v123(constB18, 2) <=> v121(constB17, 2))) | v121(constB17, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27276, 27275])).
% 218.68/141.26 tff(27278,plain,
% 218.68/141.26 (v121(constB17, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27277, 23950])).
% 218.68/141.26 tff(27279,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 2) <=> b011(2)))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27280,plain,
% 218.68/141.26 (($false | $false | (v124(constB17, 2) <=> b011(2))) <=> (v124(constB17, 2) <=> b011(2))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27281,plain,
% 218.68/141.26 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b011(2))) <=> ($false | $false | (v124(constB17, 2) <=> b011(2)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[534, 533])).
% 218.68/141.26 tff(27282,plain,
% 218.68/141.26 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b011(2))) <=> (v124(constB17, 2) <=> b011(2))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27281, 27280])).
% 218.68/141.26 tff(27283,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 2) <=> b011(2)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[27282])).
% 218.68/141.26 tff(27284,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 2) <=> b011(2)))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27283, 27279])).
% 218.68/141.26 tff(27285,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b011(2)))),
% 218.68/141.26 inference(quant_inst,[status(thm)],[])).
% 218.68/141.26 tff(27286,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 2) <=> b011(2))),
% 218.68/141.26 inference(modus_ponens,[status(thm)],[27285, 27284])).
% 218.68/141.26 tff(27287,plain,
% 218.68/141.26 (v124(constB17, 2) <=> b011(2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27286, 24905])).
% 218.68/141.26 tff(27288,plain,
% 218.68/141.26 ((~(v124(constB17, 2) <=> b011(2))) | (~v124(constB17, 2)) | b011(2)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27289,plain,
% 218.68/141.26 ((~(v124(constB17, 2) <=> b011(2))) | (~v124(constB17, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27288, 2569])).
% 218.68/141.26 tff(27290,plain,
% 218.68/141.26 (~v124(constB17, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27289, 27287])).
% 218.68/141.26 tff(27291,plain,
% 218.68/141.26 ((~(v121(constB17, 2) <=> v124(constB17, 2))) | (~v121(constB17, 2)) | v124(constB17, 2)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27292,plain,
% 218.68/141.26 ((~(v121(constB17, 2) <=> v124(constB17, 2))) | (~v121(constB17, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27291, 27290])).
% 218.68/141.26 tff(27293,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27292, 27278, 23934])).
% 218.68/141.26 tff(27294,plain,((~v115(constB17)) | (~v84(constB18, 2))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27295,plain,
% 218.68/141.26 (~v115(constB17)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27294, 27270])).
% 218.68/141.26 tff(27296,assumption,(~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))), introduced(assumption)).
% 218.68/141.26 tff(27297,plain,
% 218.68/141.26 (v84(constB15, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[23505, 27296])).
% 218.68/141.26 tff(27298,plain,
% 218.68/141.26 (v114(constB15)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[23513, 27296, 23509])).
% 218.68/141.26 tff(27299,plain,
% 218.68/141.26 (~v84(constB16, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24743, 27298])).
% 218.68/141.26 tff(27300,plain,
% 218.68/141.26 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[22258, 27299, 27297])).
% 218.68/141.26 tff(27301,plain,
% 218.68/141.26 ((~(v115(constB17) <=> (~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))))) | (v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24965, 26532])).
% 218.68/141.26 tff(27302,plain,
% 218.68/141.26 (v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27301, 24876])).
% 218.68/141.26 tff(27303,plain,
% 218.68/141.26 (~v84(constB16, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24743, 24352])).
% 218.68/141.26 tff(27304,plain,
% 218.68/141.26 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24360, 24352])).
% 218.68/141.26 tff(27305,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 2) <=> b010(2)))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27306,plain,
% 218.68/141.26 (($false | $false | (v124(constB15, 2) <=> b010(2))) <=> (v124(constB15, 2) <=> b010(2))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27307,plain,
% 218.68/141.26 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b010(2))) <=> ($false | $false | (v124(constB15, 2) <=> b010(2)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[534, 533])).
% 218.68/141.26 tff(27308,plain,
% 218.68/141.26 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b010(2))) <=> (v124(constB15, 2) <=> b010(2))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27307, 27306])).
% 218.68/141.26 tff(27309,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 2) <=> b010(2)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[27308])).
% 218.68/141.26 tff(27310,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 2) <=> b010(2)))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27309, 27305])).
% 218.68/141.26 tff(27311,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b010(2)))),
% 218.68/141.26 inference(quant_inst,[status(thm)],[])).
% 218.68/141.26 tff(27312,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b010(B)))) | (v124(constB15, 2) <=> b010(2))),
% 218.68/141.26 inference(modus_ponens,[status(thm)],[27311, 27310])).
% 218.68/141.26 tff(27313,plain,
% 218.68/141.26 (v124(constB15, 2) <=> b010(2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27312, 27304])).
% 218.68/141.26 tff(27314,plain,
% 218.68/141.26 ((~(v124(constB15, 2) <=> b010(2))) | (~v124(constB15, 2)) | b010(2)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27315,plain,
% 218.68/141.26 ((~(v124(constB15, 2) <=> b010(2))) | (~v124(constB15, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27314, 2485])).
% 218.68/141.26 tff(27316,plain,
% 218.68/141.26 (~v124(constB15, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27315, 27313])).
% 218.68/141.26 tff(27317,plain,
% 218.68/141.26 ((~(v121(constB15, 2) <=> v124(constB15, 2))) | (~v121(constB15, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24583, 27316])).
% 218.68/141.26 tff(27318,plain,
% 218.68/141.26 (~v121(constB15, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27317, 24220])).
% 218.68/141.26 tff(27319,plain,
% 218.68/141.26 ((~(v123(constB16, 2) <=> v121(constB15, 2))) | (~v123(constB16, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24586, 27318])).
% 218.68/141.26 tff(27320,plain,
% 218.68/141.26 (~v123(constB16, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27319, 24229])).
% 218.68/141.26 tff(27321,plain,
% 218.68/141.26 ((~(v84(constB16, 2) <=> v123(constB16, 2))) | (~v84(constB16, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24639, 27320])).
% 218.68/141.26 tff(27322,plain,
% 218.68/141.26 (~v84(constB16, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27321, 24239])).
% 218.68/141.26 tff(27323,plain,
% 218.68/141.26 (v84(constB16, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24555, 27322, 27303])).
% 218.68/141.26 tff(27324,plain,
% 218.68/141.26 ((~(v84(constB17, 1) <=> v84(constB16, 1))) | v84(constB17, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[22236, 27323])).
% 218.68/141.26 tff(27325,plain,
% 218.68/141.26 (v84(constB17, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27324, 22371])).
% 218.68/141.26 tff(27326,plain,
% 218.68/141.26 ((~(v84(constB17, 0) <=> v84(constB16, 0))) | (~v84(constB17, 0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24667, 27303])).
% 218.68/141.26 tff(27327,plain,
% 218.68/141.26 (~v84(constB17, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27326, 22363])).
% 218.68/141.26 tff(27328,plain,
% 218.68/141.26 ((~(v84(constB17, 2) <=> v84(constB16, 2))) | (~v84(constB17, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[22356, 27322])).
% 218.68/141.26 tff(27329,plain,
% 218.68/141.26 (~v84(constB17, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27328, 22352])).
% 218.68/141.26 tff(27330,plain,
% 218.68/141.26 ((~(v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))) | v84(constB17, 0) | (~v84(constB17, 1))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24968, 27329])).
% 218.68/141.26 tff(27331,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27330, 27327, 27325, 27302])).
% 218.68/141.26 tff(27332,plain,((~v114(constB15)) | v115(constB17) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27333,plain,
% 218.68/141.26 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27332, 27298, 26532])).
% 218.68/141.26 tff(27334,plain,
% 218.68/141.26 (~v94(constB16)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[24184, 27333])).
% 218.68/141.26 tff(27335,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[22177, 27334, 27300])).
% 218.68/141.26 tff(27336,plain,((v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))) | v115(constB17)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27337,plain,
% 218.68/141.26 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27336, 27295])).
% 218.68/141.26 tff(27338,plain,
% 218.68/141.26 (~v117(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20413, 21267])).
% 218.68/141.26 tff(27339,plain,
% 218.68/141.26 (v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[21332, 20929])).
% 218.68/141.26 tff(27340,plain,
% 218.68/141.26 (~v116(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[21469, 27339])).
% 218.68/141.26 tff(27341,plain,
% 218.68/141.26 (~v115(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[22626, 20931])).
% 218.68/141.26 tff(27342,plain,
% 218.68/141.26 (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25343, 20929])).
% 218.68/141.26 tff(27343,plain,
% 218.68/141.26 (~v114(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20594, 27342])).
% 218.68/141.26 tff(27344,plain,
% 218.68/141.26 (~v113(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[22726, 20933])).
% 218.68/141.26 tff(27345,plain,
% 218.68/141.26 (~(v113(constB11) | v114(constB11))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25349, 27344, 27343])).
% 218.68/141.26 tff(27346,assumption,(~(v112(constB11) <=> (v113(constB11) | v114(constB11)))), introduced(assumption)).
% 218.68/141.26 tff(27347,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20165, 283, 27346])).
% 218.68/141.26 tff(27348,plain,(v112(constB11) <=> (v113(constB11) | v114(constB11))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27349,plain,
% 218.68/141.26 ((~v112(constB11)) | (v113(constB11) | v114(constB11))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25351, 27348])).
% 218.68/141.26 tff(27350,plain,
% 218.68/141.26 (~v112(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27349, 27345])).
% 218.68/141.26 tff(27351,plain,
% 218.68/141.26 (~(v112(constB11) | v115(constB11))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25354, 27350, 27341])).
% 218.68/141.26 tff(27352,plain,
% 218.68/141.26 (~v111(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25357, 27351])).
% 218.68/141.26 tff(27353,plain,
% 218.68/141.26 (~(v111(constB11) | v116(constB11))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25359, 27352, 27340])).
% 218.68/141.26 tff(27354,plain,
% 218.68/141.26 (~v110(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25362, 27353])).
% 218.68/141.26 tff(27355,plain,
% 218.68/141.26 (~(v110(constB11) | v117(constB11))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25397, 27354, 27338])).
% 218.68/141.26 tff(27356,plain,
% 218.68/141.26 (~v109(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25395, 27355])).
% 218.68/141.26 tff(27357,assumption,(v108(constB11) | v119(constB11)), introduced(assumption)).
% 218.68/141.26 tff(27358,plain,
% 218.68/141.26 ((~(v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))) | (~v119(constB11))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25370, 21315])).
% 218.68/141.26 tff(27359,plain,
% 218.68/141.26 (~v119(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27358, 20316])).
% 218.68/141.26 tff(27360,plain,
% 218.68/141.26 (v108(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25373, 27359, 27357])).
% 218.68/141.26 tff(27361,plain,
% 218.68/141.26 (v109(constB11) | v118(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25376, 27360])).
% 218.68/141.26 tff(27362,plain,
% 218.68/141.26 (v118(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[25392, 27361, 27356])).
% 218.68/141.26 tff(27363,plain,
% 218.68/141.26 (v84(constB12, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20271, 27362])).
% 218.68/141.26 tff(27364,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))), introduced(assumption)).
% 218.68/141.26 tff(27365,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20254, 1977, 27364, 20213])).
% 218.68/141.26 tff(27366,plain,((~v118(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27367,plain,
% 218.68/141.26 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27366, 27362])).
% 218.68/141.26 tff(27368,assumption,(v124(constB11, 0)), introduced(assumption)).
% 218.68/141.26 tff(27369,plain,
% 218.68/141.26 ((~(v124(constB11, 0) <=> b110(0))) | (~v124(constB11, 0)) | b110(0)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27370,plain,
% 218.68/141.26 (~(v124(constB11, 0) <=> b110(0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27369, 3186, 27368])).
% 218.68/141.26 tff(27371,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))), introduced(assumption)).
% 218.68/141.26 tff(27372,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 0) <=> b110(0)))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27373,plain,
% 218.68/141.26 (($false | $false | (v124(constB11, 0) <=> b110(0))) <=> (v124(constB11, 0) <=> b110(0))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27374,plain,
% 218.68/141.26 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b110(0))) <=> ($false | $false | (v124(constB11, 0) <=> b110(0)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[250, 249])).
% 218.68/141.26 tff(27375,plain,
% 218.68/141.26 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b110(0))) <=> (v124(constB11, 0) <=> b110(0))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27374, 27373])).
% 218.68/141.26 tff(27376,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 0) <=> b110(0)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[27375])).
% 218.68/141.26 tff(27377,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 0) <=> b110(0)))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27376, 27372])).
% 218.68/141.26 tff(27378,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b110(0)))),
% 218.68/141.26 inference(quant_inst,[status(thm)],[])).
% 218.68/141.26 tff(27379,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 0) <=> b110(0))),
% 218.68/141.26 inference(modus_ponens,[status(thm)],[27378, 27377])).
% 218.68/141.26 tff(27380,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27379, 27371, 27370])).
% 218.68/141.26 tff(27381,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (~v124(constB11, 0))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27382,plain,
% 218.68/141.26 (~v124(constB11, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27381, 27367])).
% 218.68/141.26 tff(27383,plain,
% 218.68/141.26 (~(v124(constB11, 0) <=> b001(0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[23354, 27382])).
% 218.68/141.26 tff(27384,plain,
% 218.68/141.26 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[23366, 27383])).
% 218.68/141.26 tff(27385,plain,
% 218.68/141.26 (v109(constB11) | v118(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[21720, 20601, 20457])).
% 218.68/141.26 tff(27386,plain,
% 218.68/141.26 (v108(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20159, 27385])).
% 218.68/141.26 tff(27387,plain,
% 218.68/141.26 (v108(constB11) | v119(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20152, 27386])).
% 218.68/141.26 tff(27388,plain,
% 218.68/141.26 (v107(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20150, 27387])).
% 218.68/141.26 tff(27389,plain,
% 218.68/141.26 (~((~v107(constB11)) | (~v120(constB11)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20143, 27388])).
% 218.68/141.26 tff(27390,plain,
% 218.68/141.26 (v106(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20135, 27389])).
% 218.68/141.26 tff(27391,plain,
% 218.68/141.26 (v105(constB11) | v106(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20130, 27390])).
% 218.68/141.26 tff(27392,plain,
% 218.68/141.26 (v102(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20128, 27391])).
% 218.68/141.26 tff(27393,plain,
% 218.68/141.26 (v104(constB12)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20123, 27392])).
% 218.68/141.26 tff(27394,plain,
% 218.68/141.26 (~((~v95(constB12)) | (~v104(constB12)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20115, 27393])).
% 218.68/141.26 tff(27395,plain,
% 218.68/141.26 (v94(constB12)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20081, 27394])).
% 218.68/141.26 tff(27396,plain,
% 218.68/141.26 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[20232, 27395])).
% 218.68/141.26 tff(27397,plain,
% 218.68/141.26 (v84(constB12, 0) <=> v123(constB12, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[23284, 27396])).
% 218.68/141.26 tff(27398,plain,
% 218.68/141.26 ((~(v84(constB12, 0) <=> v123(constB12, 0))) | (~v84(constB12, 0)) | v123(constB12, 0)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27399,plain,
% 218.68/141.26 ((~(v84(constB12, 0) <=> v123(constB12, 0))) | v123(constB12, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27398, 20482])).
% 218.68/141.26 tff(27400,plain,
% 218.68/141.26 (v123(constB12, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27399, 27397])).
% 218.68/141.26 tff(27401,plain,
% 218.68/141.26 ((~(v123(constB12, 0) <=> v121(constB11, 0))) | (~v123(constB12, 0)) | v121(constB11, 0)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27402,plain,
% 218.68/141.26 ((~(v123(constB12, 0) <=> v121(constB11, 0))) | v121(constB11, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27401, 27400])).
% 218.68/141.26 tff(27403,plain,
% 218.68/141.26 (v121(constB11, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27402, 23264])).
% 218.68/141.26 tff(27404,plain,
% 218.68/141.26 ((~(v121(constB11, 0) <=> v124(constB11, 0))) | (~v121(constB11, 0)) | v124(constB11, 0)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27405,plain,
% 218.68/141.26 ((~(v121(constB11, 0) <=> v124(constB11, 0))) | v124(constB11, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27404, 27403])).
% 218.68/141.26 tff(27406,plain,
% 218.68/141.26 (v124(constB11, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27405, 23255])).
% 218.68/141.26 tff(27407,plain,
% 218.68/141.26 ((~(v124(constB11, 0) <=> b010(0))) | (~v124(constB11, 0)) | b010(0)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27408,plain,
% 218.68/141.26 (~(v124(constB11, 0) <=> b010(0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27407, 2437, 27368])).
% 218.68/141.26 tff(27409,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 0) <=> b010(0)))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27410,plain,
% 218.68/141.26 (($false | $false | (v124(constB11, 0) <=> b010(0))) <=> (v124(constB11, 0) <=> b010(0))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27411,plain,
% 218.68/141.26 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b010(0))) <=> ($false | $false | (v124(constB11, 0) <=> b010(0)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[250, 249])).
% 218.68/141.26 tff(27412,plain,
% 218.68/141.26 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b010(0))) <=> (v124(constB11, 0) <=> b010(0))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27411, 27410])).
% 218.68/141.26 tff(27413,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 0) <=> b010(0)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[27412])).
% 218.68/141.26 tff(27414,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 0) <=> b010(0)))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27413, 27409])).
% 218.68/141.26 tff(27415,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b010(0)))),
% 218.68/141.26 inference(quant_inst,[status(thm)],[])).
% 218.68/141.26 tff(27416,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 0) <=> b010(0))),
% 218.68/141.26 inference(modus_ponens,[status(thm)],[27415, 27414])).
% 218.68/141.26 tff(27417,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27416, 23330, 27408])).
% 218.68/141.26 tff(27418,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (~v124(constB11, 0))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27419,plain,
% 218.68/141.26 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27418, 27406])).
% 218.68/141.26 tff(27420,plain,
% 218.68/141.26 (~v114(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[23351, 27419])).
% 218.68/141.26 tff(27421,plain,
% 218.68/141.26 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27381, 27406])).
% 218.68/141.26 tff(27422,plain,
% 218.68/141.26 (~v118(constB11)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27366, 27421])).
% 218.68/141.26 tff(27423,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[22828, 27422, 27420, 20410, 22810, 20601, 20457])).
% 218.68/141.26 tff(27424,plain,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | (~v84(constB12, 1)) | v115(constB11) | (~v84(constB12, 0))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27425,plain,
% 218.68/141.26 (~v84(constB12, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27424, 27384, 27341, 27363])).
% 218.68/141.26 tff(27426,plain,
% 218.68/141.26 ((~(v84(constB13, 0) <=> v84(constB12, 0))) | (~v84(constB13, 0)) | v84(constB12, 0)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27427,plain,
% 218.68/141.26 ((~v84(constB13, 0)) | v84(constB12, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27426, 21768])).
% 218.68/141.26 tff(27428,plain,
% 218.68/141.26 (~v84(constB13, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27427, 27425])).
% 218.68/141.26 tff(27429,assumption,(v84(constB12, 2) <=> v123(constB12, 2)), introduced(assumption)).
% 218.68/141.26 tff(27430,plain,
% 218.68/141.26 ((~(v124(constB11, 2) <=> b110(2))) | v124(constB11, 2) | (~b110(2))),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27431,plain,
% 218.68/141.26 (~(v124(constB11, 2) <=> b110(2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27430, 1598, 23313])).
% 218.68/141.26 tff(27432,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 2) <=> b110(2)))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27433,plain,
% 218.68/141.26 (($false | $false | (v124(constB11, 2) <=> b110(2))) <=> (v124(constB11, 2) <=> b110(2))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27434,plain,
% 218.68/141.26 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b110(2))) <=> ($false | $false | (v124(constB11, 2) <=> b110(2)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[534, 533])).
% 218.68/141.26 tff(27435,plain,
% 218.68/141.26 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b110(2))) <=> (v124(constB11, 2) <=> b110(2))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27434, 27433])).
% 218.68/141.26 tff(27436,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 2) <=> b110(2)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[27435])).
% 218.68/141.26 tff(27437,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 2) <=> b110(2)))),
% 218.68/141.26 inference(transitivity,[status(thm)],[27436, 27432])).
% 218.68/141.26 tff(27438,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b110(2)))),
% 218.68/141.26 inference(quant_inst,[status(thm)],[])).
% 218.68/141.26 tff(27439,plain,
% 218.68/141.26 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | (v124(constB11, 2) <=> b110(2))),
% 218.68/141.26 inference(modus_ponens,[status(thm)],[27438, 27437])).
% 218.68/141.26 tff(27440,plain,
% 218.68/141.26 ($false),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27439, 27371, 27431])).
% 218.68/141.26 tff(27441,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b110(B)))) | v124(constB11, 2)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.26 tff(27442,plain,
% 218.68/141.26 (v124(constB11, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27441, 27367])).
% 218.68/141.26 tff(27443,plain,
% 218.68/141.26 (v121(constB11, 2) | (~v124(constB11, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[23310, 23230])).
% 218.68/141.26 tff(27444,plain,
% 218.68/141.26 (v121(constB11, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27443, 27442])).
% 218.68/141.26 tff(27445,plain,
% 218.68/141.26 (v123(constB12, 2) | (~v121(constB11, 2))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[23307, 23235])).
% 218.68/141.26 tff(27446,plain,
% 218.68/141.26 (v123(constB12, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27445, 27444])).
% 218.68/141.26 tff(27447,plain,
% 218.68/141.26 (v84(constB12, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[23304, 27446, 27429])).
% 218.68/141.26 tff(27448,plain,
% 218.68/141.26 (v84(constB13, 2)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[21803, 27447])).
% 218.68/141.26 tff(27449,plain,
% 218.68/141.26 ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[21812, 27448])).
% 218.68/141.26 tff(27450,plain,
% 218.68/141.26 (~v115(constB13)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[21824, 27449])).
% 218.68/141.26 tff(27451,assumption,(~v115(constB13)), introduced(assumption)).
% 218.68/141.26 tff(27452,plain,
% 218.68/141.26 (v115(constB13) | ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[22920, 21822])).
% 218.68/141.26 tff(27453,plain,
% 218.68/141.26 ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27452, 27451])).
% 218.68/141.26 tff(27454,assumption,(v84(constB14, 1)), introduced(assumption)).
% 218.68/141.26 tff(27455,plain,
% 218.68/141.26 (v84(constB14, 1) <=> v123(constB14, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[23559, 23078])).
% 218.68/141.26 tff(27456,plain,
% 218.68/141.26 ((~(v84(constB14, 1) <=> v123(constB14, 1))) | (~v84(constB14, 1)) | v123(constB14, 1)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27457,plain,
% 218.68/141.26 ((~(v84(constB14, 1) <=> v123(constB14, 1))) | v123(constB14, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27456, 27454])).
% 218.68/141.26 tff(27458,plain,
% 218.68/141.26 (v123(constB14, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27457, 27455])).
% 218.68/141.26 tff(27459,plain,
% 218.68/141.26 ((~(v123(constB14, 1) <=> v121(constB13, 1))) | (~v123(constB14, 1)) | v121(constB13, 1)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27460,plain,
% 218.68/141.26 ((~(v123(constB14, 1) <=> v121(constB13, 1))) | v121(constB13, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27459, 27458])).
% 218.68/141.26 tff(27461,plain,
% 218.68/141.26 (v121(constB13, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27460, 23549])).
% 218.68/141.26 tff(27462,plain,
% 218.68/141.26 ((~(v121(constB13, 1) <=> v124(constB13, 1))) | (~v121(constB13, 1)) | v124(constB13, 1)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27463,plain,
% 218.68/141.26 ((~(v121(constB13, 1) <=> v124(constB13, 1))) | v124(constB13, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27462, 27461])).
% 218.68/141.26 tff(27464,plain,
% 218.68/141.26 (v124(constB13, 1)),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27463, 23540])).
% 218.68/141.26 tff(27465,plain,
% 218.68/141.26 ((~(v124(constB13, 1) <=> b001(1))) | (~v124(constB13, 1)) | b001(1)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27466,plain,
% 218.68/141.26 (~(v124(constB13, 1) <=> b001(1))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27465, 1885, 27464])).
% 218.68/141.26 tff(27467,assumption,(v124(constB13, 1)), introduced(assumption)).
% 218.68/141.26 tff(27468,plain,
% 218.68/141.26 ((~(v124(constB13, 1) <=> b101(1))) | (~v124(constB13, 1)) | b101(1)),
% 218.68/141.26 inference(tautology,[status(thm)],[])).
% 218.68/141.26 tff(27469,plain,
% 218.68/141.26 (~(v124(constB13, 1) <=> b101(1))),
% 218.68/141.26 inference(unit_resolution,[status(thm)],[27468, 2330, 27467])).
% 218.68/141.26 tff(27470,plain,
% 218.68/141.26 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 1) <=> b101(1)))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27471,plain,
% 218.68/141.26 (($false | $false | (v124(constB13, 1) <=> b101(1))) <=> (v124(constB13, 1) <=> b101(1))),
% 218.68/141.26 inference(rewrite,[status(thm)],[])).
% 218.68/141.26 tff(27472,plain,
% 218.68/141.26 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b101(1))) <=> ($false | $false | (v124(constB13, 1) <=> b101(1)))),
% 218.68/141.26 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.27 tff(27473,plain,
% 218.68/141.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b101(1))) <=> (v124(constB13, 1) <=> b101(1))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27472, 27471])).
% 218.68/141.27 tff(27474,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 1) <=> b101(1)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[27473])).
% 218.68/141.27 tff(27475,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 1) <=> b101(1)))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27474, 27470])).
% 218.68/141.27 tff(27476,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b101(1)))),
% 218.68/141.27 inference(quant_inst,[status(thm)],[])).
% 218.68/141.27 tff(27477,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (v124(constB13, 1) <=> b101(1))),
% 218.68/141.27 inference(modus_ponens,[status(thm)],[27476, 27475])).
% 218.68/141.27 tff(27478,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27477, 23586, 27469])).
% 218.68/141.27 tff(27479,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))) | (~v124(constB13, 1))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27480,plain,
% 218.68/141.27 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b101(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27479, 27464])).
% 218.68/141.27 tff(27481,plain,
% 218.68/141.27 (~v117(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23093, 27480])).
% 218.68/141.27 tff(27482,plain,
% 218.68/141.27 (~v114(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[21849, 23828])).
% 218.68/141.27 tff(27483,assumption,(v113(constB13)), introduced(assumption)).
% 218.68/141.27 tff(27484,plain,
% 218.68/141.27 ((~v113(constB13)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23618, 2117])).
% 218.68/141.27 tff(27485,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27484, 27483])).
% 218.68/141.27 tff(27486,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 1) <=> b001(1)))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27487,plain,
% 218.68/141.27 (($false | $false | (v124(constB13, 1) <=> b001(1))) <=> (v124(constB13, 1) <=> b001(1))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27488,plain,
% 218.68/141.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b001(1))) <=> ($false | $false | (v124(constB13, 1) <=> b001(1)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.27 tff(27489,plain,
% 218.68/141.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b001(1))) <=> (v124(constB13, 1) <=> b001(1))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27488, 27487])).
% 218.68/141.27 tff(27490,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 1) <=> b001(1)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[27489])).
% 218.68/141.27 tff(27491,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 1) <=> b001(1)))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27490, 27486])).
% 218.68/141.27 tff(27492,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b001(1)))),
% 218.68/141.27 inference(quant_inst,[status(thm)],[])).
% 218.68/141.27 tff(27493,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 1) <=> b001(1))),
% 218.68/141.27 inference(modus_ponens,[status(thm)],[27492, 27491])).
% 218.68/141.27 tff(27494,plain,
% 218.68/141.27 (v124(constB13, 1) <=> b001(1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27493, 27485])).
% 218.68/141.27 tff(27495,plain,
% 218.68/141.27 ((~(v124(constB13, 1) <=> b001(1))) | (~v124(constB13, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27465, 1885])).
% 218.68/141.27 tff(27496,plain,
% 218.68/141.27 (~v124(constB13, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27495, 27494])).
% 218.68/141.27 tff(27497,plain,
% 218.68/141.27 ((~(v121(constB13, 1) <=> v124(constB13, 1))) | (~v121(constB13, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27462, 27496])).
% 218.68/141.27 tff(27498,plain,
% 218.68/141.27 (~v121(constB13, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27497, 23540])).
% 218.68/141.27 tff(27499,plain,
% 218.68/141.27 (v113(constB13) | v114(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22927, 27483])).
% 218.68/141.27 tff(27500,plain,
% 218.68/141.27 (v112(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22908, 27499, 21827])).
% 218.68/141.27 tff(27501,plain,
% 218.68/141.27 (v112(constB13) | v115(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22906, 27500])).
% 218.68/141.27 tff(27502,plain,
% 218.68/141.27 (v111(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22890, 27501, 21811])).
% 218.68/141.27 tff(27503,plain,
% 218.68/141.27 (v111(constB13) | v116(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22888, 27502])).
% 218.68/141.27 tff(27504,plain,
% 218.68/141.27 (v110(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22938, 27503, 21782])).
% 218.68/141.27 tff(27505,plain,
% 218.68/141.27 (v110(constB13) | v117(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22940, 27504])).
% 218.68/141.27 tff(27506,plain,
% 218.68/141.27 (v109(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22870, 27505, 21780])).
% 218.68/141.27 tff(27507,plain,
% 218.68/141.27 (v109(constB13) | v118(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22868, 27506])).
% 218.68/141.27 tff(27508,plain,
% 218.68/141.27 (v108(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22866, 27507, 21778])).
% 218.68/141.27 tff(27509,plain,
% 218.68/141.27 (v108(constB13) | v119(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22864, 27508])).
% 218.68/141.27 tff(27510,plain,
% 218.68/141.27 (v107(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22944, 27509, 21701])).
% 218.68/141.27 tff(27511,plain,
% 218.68/141.27 (~((~v107(constB13)) | (~v120(constB13)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22953, 27510])).
% 218.68/141.27 tff(27512,plain,
% 218.68/141.27 (v106(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22956, 27511])).
% 218.68/141.27 tff(27513,plain,
% 218.68/141.27 (v105(constB13) | v106(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22958, 27512])).
% 218.68/141.27 tff(27514,plain,
% 218.68/141.27 (v102(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22961, 27513])).
% 218.68/141.27 tff(27515,plain,
% 218.68/141.27 (v104(constB14)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22964, 27514])).
% 218.68/141.27 tff(27516,plain,
% 218.68/141.27 (~((~v95(constB14)) | (~v104(constB14)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22995, 27515])).
% 218.68/141.27 tff(27517,plain,
% 218.68/141.27 (v94(constB14)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22998, 27516])).
% 218.68/141.27 tff(27518,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23006, 27517])).
% 218.68/141.27 tff(27519,plain,
% 218.68/141.27 (v84(constB14, 1) <=> v123(constB14, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23559, 27518])).
% 218.68/141.27 tff(27520,plain,
% 218.68/141.27 (v123(constB14, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27457, 27519])).
% 218.68/141.27 tff(27521,plain,
% 218.68/141.27 ((~(v123(constB14, 1) <=> v121(constB13, 1))) | v121(constB13, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27459, 27520])).
% 218.68/141.27 tff(27522,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27521, 27498, 23549])).
% 218.68/141.27 tff(27523,plain,((~v113(constB13)) | (~v84(constB14, 1))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27524,plain,
% 218.68/141.27 (~v113(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27523, 27454])).
% 218.68/141.27 tff(27525,plain,
% 218.68/141.27 (v118(constB13) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))) | v117(constB13)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23644, 1807, 23855, 27524, 27451, 27482])).
% 218.68/141.27 tff(27526,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27525, 27481, 23840])).
% 218.68/141.27 tff(27527,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27493, 27526, 27466])).
% 218.68/141.27 tff(27528,plain,(v84(constB13, 0) | v115(constB13) | (~v84(constB14, 1)) | (~v84(constB13, 2))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27529,plain,
% 218.68/141.27 (~v84(constB13, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27528, 27451, 27454, 22853])).
% 218.68/141.27 tff(27530,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23387, 27529, 27453, 22853])).
% 218.68/141.27 tff(27531,plain,(v115(constB13) | v84(constB13, 0) | (~v84(constB14, 1))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27532,plain,
% 218.68/141.27 (~v84(constB14, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27531, 27450, 27428])).
% 218.68/141.27 tff(27533,assumption,(~(v84(constB15, 1) <=> v84(constB14, 1))), introduced(assumption)).
% 218.68/141.27 tff(27534,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22087, 21690, 27533])).
% 218.68/141.27 tff(27535,plain,(v84(constB15, 1) <=> v84(constB14, 1)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27536,plain,
% 218.68/141.27 ((~(v84(constB15, 1) <=> v84(constB14, 1))) | (~v84(constB15, 1)) | v84(constB14, 1)),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27537,plain,
% 218.68/141.27 ((~v84(constB15, 1)) | v84(constB14, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27536, 27535])).
% 218.68/141.27 tff(27538,plain,
% 218.68/141.27 (~v84(constB15, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27537, 27532])).
% 218.68/141.27 tff(27539,plain,
% 218.68/141.27 ((v109(constB17) | v118(constB17)) | (~v118(constB17))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27540,plain,
% 218.68/141.27 (~v118(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27539, 25034])).
% 218.68/141.27 tff(27541,plain,
% 218.68/141.27 ((~(v118(constB17) <=> (~(v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2)))))) | v118(constB17) | (v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2)))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27542,plain,
% 218.68/141.27 ((~(v118(constB17) <=> (~(v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2)))))) | (v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27541, 27540])).
% 218.68/141.27 tff(27543,plain,
% 218.68/141.27 (v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27542, 22400])).
% 218.68/141.27 tff(27544,plain,
% 218.68/141.27 (v84(constB18, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[25039, 24866])).
% 218.68/141.27 tff(27545,plain,
% 218.68/141.27 ((~(v84(constB18, 2) <=> v84(constB17, 2))) | (~v84(constB18, 2)) | v84(constB17, 2)),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27546,plain,
% 218.68/141.27 ((~(v84(constB18, 2) <=> v84(constB17, 2))) | v84(constB17, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27545, 27544])).
% 218.68/141.27 tff(27547,plain,
% 218.68/141.27 (v84(constB17, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27546, 24988])).
% 218.68/141.27 tff(27548,plain,
% 218.68/141.27 ((v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)) | (~v84(constB17, 2))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27549,plain,
% 218.68/141.27 (v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27548, 27547])).
% 218.68/141.27 tff(27550,plain,
% 218.68/141.27 ((v108(constB17) | v119(constB17)) | (~v119(constB17))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27551,plain,
% 218.68/141.27 (~v119(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27550, 25031])).
% 218.68/141.27 tff(27552,plain,
% 218.68/141.27 ((~(v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))))) | v119(constB17) | (v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27553,plain,
% 218.68/141.27 ((~(v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))))) | (v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27552, 27551])).
% 218.68/141.27 tff(27554,plain,
% 218.68/141.27 (v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27553, 22417])).
% 218.68/141.27 tff(27555,plain,
% 218.68/141.27 (~v117(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23952, 25037])).
% 218.68/141.27 tff(27556,plain,
% 218.68/141.27 (v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24068, 27555])).
% 218.68/141.27 tff(27557,assumption,(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1))), introduced(assumption)).
% 218.68/141.27 tff(27558,assumption,(v84(constB17, 2)), introduced(assumption)).
% 218.68/141.27 tff(27559,plain,
% 218.68/141.27 (v84(constB17, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26519, 24196, 24195, 24997])).
% 218.68/141.27 tff(27560,plain,
% 218.68/141.27 ((~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))) | v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27561,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27560, 27559, 24196, 27558, 27557])).
% 218.68/141.27 tff(27562,plain,(v84(constB17, 0) | (~v84(constB17, 2)) | (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))) | (~(v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2)))) | (~(v84(constB17, 0) | v84(constB17, 1) | v84(constB17, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27563,plain,
% 218.68/141.27 (v84(constB17, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27562, 27556, 27554, 27547, 27549])).
% 218.68/141.27 tff(27564,plain,
% 218.68/141.27 ((~(v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2)))) | v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27565,plain,
% 218.68/141.27 (v84(constB17, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27564, 27563, 27547, 27543])).
% 218.68/141.27 tff(27566,plain,
% 218.68/141.27 (v84(constB16, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24561, 27565])).
% 218.68/141.27 tff(27567,assumption,(v84(constB16, 1)), introduced(assumption)).
% 218.68/141.27 tff(27568,plain,
% 218.68/141.27 ((~(v84(constB16, 1) <=> v84(constB15, 1))) | (~v84(constB16, 1)) | v84(constB15, 1)),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27569,plain,
% 218.68/141.27 (~(v84(constB16, 1) <=> v84(constB15, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27568, 23516, 27567])).
% 218.68/141.27 tff(27570,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22186, 22248, 27569])).
% 218.68/141.27 tff(27571,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))) | v84(constB15, 1) | (~v84(constB16, 1))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27572,plain,
% 218.68/141.27 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27571, 27566, 23516])).
% 218.68/141.27 tff(27573,plain,
% 218.68/141.27 (v94(constB16)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22177, 27572])).
% 218.68/141.27 tff(27574,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24184, 27573])).
% 218.68/141.27 tff(27575,plain,
% 218.68/141.27 (v84(constB16, 1) <=> v123(constB16, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24808, 27574])).
% 218.68/141.27 tff(27576,plain,
% 218.68/141.27 (v123(constB16, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24563, 27575, 27566])).
% 218.68/141.27 tff(27577,plain,
% 218.68/141.27 (~v115(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27294, 27544])).
% 218.68/141.27 tff(27578,plain,
% 218.68/141.27 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27336, 27577])).
% 218.68/141.27 tff(27579,plain,
% 218.68/141.27 (v84(constB16, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24668, 27563])).
% 218.68/141.27 tff(27580,assumption,(v118(constB15)), introduced(assumption)).
% 218.68/141.27 tff(27581,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24417, 27580])).
% 218.68/141.27 tff(27582,plain,
% 218.68/141.27 ((~(v124(constB15, 0) <=> b110(0))) | (~v124(constB15, 0)) | b110(0)),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27583,plain,
% 218.68/141.27 (~(v124(constB15, 0) <=> b110(0))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27582, 3186, 24751])).
% 218.68/141.27 tff(27584,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))), introduced(assumption)).
% 218.68/141.27 tff(27585,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 0) <=> b110(0)))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27586,plain,
% 218.68/141.27 (($false | $false | (v124(constB15, 0) <=> b110(0))) <=> (v124(constB15, 0) <=> b110(0))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27587,plain,
% 218.68/141.27 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b110(0))) <=> ($false | $false | (v124(constB15, 0) <=> b110(0)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[250, 249])).
% 218.68/141.27 tff(27588,plain,
% 218.68/141.27 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b110(0))) <=> (v124(constB15, 0) <=> b110(0))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27587, 27586])).
% 218.68/141.27 tff(27589,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 0) <=> b110(0)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[27588])).
% 218.68/141.27 tff(27590,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 0) <=> b110(0)))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27589, 27585])).
% 218.68/141.27 tff(27591,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB15, 0) <=> b110(0)))),
% 218.68/141.27 inference(quant_inst,[status(thm)],[])).
% 218.68/141.27 tff(27592,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 0) <=> b110(0))),
% 218.68/141.27 inference(modus_ponens,[status(thm)],[27591, 27590])).
% 218.68/141.27 tff(27593,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27592, 27584, 27583])).
% 218.68/141.27 tff(27594,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (~v124(constB15, 0))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27595,plain,
% 218.68/141.27 (~v124(constB15, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27594, 27581])).
% 218.68/141.27 tff(27596,plain,
% 218.68/141.27 ((~(v121(constB15, 0) <=> v124(constB15, 0))) | (~v121(constB15, 0))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24711, 27595])).
% 218.68/141.27 tff(27597,plain,
% 218.68/141.27 (~v121(constB15, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27596, 24259])).
% 218.68/141.27 tff(27598,plain,
% 218.68/141.27 ((v109(constB15) | v118(constB15)) | (~v118(constB15))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27599,plain,
% 218.68/141.27 (v109(constB15) | v118(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27598, 27580])).
% 218.68/141.27 tff(27600,plain,
% 218.68/141.27 (v108(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24119, 27599, 21979])).
% 218.68/141.27 tff(27601,plain,
% 218.68/141.27 (v108(constB15) | v119(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24121, 27600])).
% 218.68/141.27 tff(27602,plain,
% 218.68/141.27 (v107(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24123, 27601, 21654])).
% 218.68/141.27 tff(27603,plain,
% 218.68/141.27 (~((~v107(constB15)) | (~v120(constB15)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24131, 27602])).
% 218.68/141.27 tff(27604,plain,
% 218.68/141.27 (v106(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24134, 27603])).
% 218.68/141.27 tff(27605,plain,
% 218.68/141.27 (v105(constB15) | v106(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24136, 27604])).
% 218.68/141.27 tff(27606,plain,
% 218.68/141.27 (v102(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24139, 27605])).
% 218.68/141.27 tff(27607,plain,
% 218.68/141.27 (v104(constB16)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24142, 27606])).
% 218.68/141.27 tff(27608,plain,
% 218.68/141.27 (~((~v95(constB16)) | (~v104(constB16)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24173, 27607])).
% 218.68/141.27 tff(27609,plain,
% 218.68/141.27 (v94(constB16)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24176, 27608])).
% 218.68/141.27 tff(27610,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24184, 27609])).
% 218.68/141.27 tff(27611,plain,
% 218.68/141.27 (v84(constB16, 0) <=> v123(constB16, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24276, 27610])).
% 218.68/141.27 tff(27612,plain,
% 218.68/141.27 (v123(constB16, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24738, 27611])).
% 218.68/141.27 tff(27613,plain,
% 218.68/141.27 ((~(v123(constB16, 0) <=> v121(constB15, 0))) | v121(constB15, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24740, 27612])).
% 218.68/141.27 tff(27614,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27613, 27597, 24268])).
% 218.68/141.27 tff(27615,plain,((~v118(constB15)) | (~v84(constB16, 0))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27616,plain,
% 218.68/141.27 (~v118(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27615, 27579])).
% 218.68/141.27 tff(27617,assumption,(~(v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))))), introduced(assumption)).
% 218.68/141.27 tff(27618,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22114, 394, 27617])).
% 218.68/141.27 tff(27619,plain,(v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27620,plain,
% 218.68/141.27 ((~(v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))))) | v118(constB15) | (v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27621,plain,
% 218.68/141.27 (v118(constB15) | (v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27620, 27619])).
% 218.68/141.27 tff(27622,plain,
% 218.68/141.27 (v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27621, 27616])).
% 218.68/141.27 tff(27623,assumption,(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))), introduced(assumption)).
% 218.68/141.27 tff(27624,plain,
% 218.68/141.27 (v84(constB15, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23917, 23516, 23519])).
% 218.68/141.27 tff(27625,plain,
% 218.68/141.27 (v84(constB15, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22378, 27624, 22350, 23516])).
% 218.68/141.27 tff(27626,plain,
% 218.68/141.27 ((~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))) | v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27627,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27626, 27625, 27624, 27623, 23516])).
% 218.68/141.27 tff(27628,plain,(v84(constB15, 1) | (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))) | (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))) | (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27629,plain,
% 218.68/141.27 (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27628, 27622, 23516, 27578])).
% 218.68/141.27 tff(27630,assumption,(~(v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))), introduced(assumption)).
% 218.68/141.27 tff(27631,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22078, 656, 27630])).
% 218.68/141.27 tff(27632,plain,(v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27633,plain,
% 218.68/141.27 (v117(constB15) | (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24615, 27632])).
% 218.68/141.27 tff(27634,plain,
% 218.68/141.27 (v117(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27633, 27629])).
% 218.68/141.27 tff(27635,assumption,(v117(constB15)), introduced(assumption)).
% 218.68/141.27 tff(27636,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))), introduced(assumption)).
% 218.68/141.27 tff(27637,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24397, 2090, 27636, 27635])).
% 218.68/141.27 tff(27638,plain,((~v117(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27639,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27638, 27634])).
% 218.68/141.27 tff(27640,assumption,(v124(constB15, 1)), introduced(assumption)).
% 218.68/141.27 tff(27641,plain,
% 218.68/141.27 ((~(v124(constB15, 1) <=> b101(1))) | (~v124(constB15, 1)) | b101(1)),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27642,plain,
% 218.68/141.27 (~(v124(constB15, 1) <=> b101(1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27641, 2330, 27640])).
% 218.68/141.27 tff(27643,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | (v124(constB15, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | (v124(constB15, 1) <=> b101(1)))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27644,plain,
% 218.68/141.27 (($false | $false | (v124(constB15, 1) <=> b101(1))) <=> (v124(constB15, 1) <=> b101(1))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27645,plain,
% 218.68/141.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b101(1))) <=> ($false | $false | (v124(constB15, 1) <=> b101(1)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.27 tff(27646,plain,
% 218.68/141.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b101(1))) <=> (v124(constB15, 1) <=> b101(1))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27645, 27644])).
% 218.68/141.27 tff(27647,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | (v124(constB15, 1) <=> b101(1)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[27646])).
% 218.68/141.27 tff(27648,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | (v124(constB15, 1) <=> b101(1)))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27647, 27643])).
% 218.68/141.27 tff(27649,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b101(1)))),
% 218.68/141.27 inference(quant_inst,[status(thm)],[])).
% 218.68/141.27 tff(27650,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | (v124(constB15, 1) <=> b101(1))),
% 218.68/141.27 inference(modus_ponens,[status(thm)],[27649, 27648])).
% 218.68/141.27 tff(27651,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27650, 24380, 27642])).
% 218.68/141.27 tff(27652,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))) | (~v124(constB15, 1))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27653,plain,
% 218.68/141.27 (~v124(constB15, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27652, 27639])).
% 218.68/141.27 tff(27654,plain,
% 218.68/141.27 ((~v121(constB15, 1)) | v124(constB15, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24660, 24838])).
% 218.68/141.27 tff(27655,plain,
% 218.68/141.27 (~v121(constB15, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27654, 27653])).
% 218.68/141.27 tff(27656,plain,
% 218.68/141.27 ((~v123(constB16, 1)) | v121(constB15, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24663, 24087])).
% 218.68/141.27 tff(27657,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27656, 27655, 27576])).
% 218.68/141.27 tff(27658,plain,(v94(constB18) | v84(constB15, 1)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27659,plain,
% 218.68/141.27 (v94(constB18)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27658, 23516])).
% 218.68/141.27 tff(27660,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24023, 27659])).
% 218.68/141.27 tff(27661,plain,
% 218.68/141.27 (v84(constB18, 2) <=> v123(constB18, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24032, 27660])).
% 218.68/141.27 tff(27662,plain,
% 218.68/141.27 (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27628, 23519, 23516, 22350])).
% 218.68/141.27 tff(27663,plain,
% 218.68/141.27 (v118(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27621, 27662])).
% 218.68/141.27 tff(27664,plain,
% 218.68/141.27 (v124(constB15, 2) <=> b110(2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24426, 27581])).
% 218.68/141.27 tff(27665,plain,
% 218.68/141.27 ((~(v124(constB15, 2) <=> b110(2))) | v124(constB15, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24249, 1598])).
% 218.68/141.27 tff(27666,plain,
% 218.68/141.27 (v124(constB15, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27665, 27664])).
% 218.68/141.27 tff(27667,plain,
% 218.68/141.27 ((~(v121(constB15, 2) <=> v124(constB15, 2))) | v121(constB15, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24246, 27666])).
% 218.68/141.27 tff(27668,plain,
% 218.68/141.27 (v121(constB15, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27667, 24220])).
% 218.68/141.27 tff(27669,plain,
% 218.68/141.27 ((~(v123(constB16, 2) <=> v121(constB15, 2))) | v123(constB16, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24243, 27668])).
% 218.68/141.27 tff(27670,plain,
% 218.68/141.27 (v123(constB16, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27669, 24229])).
% 218.68/141.27 tff(27671,plain,
% 218.68/141.27 (~(v84(constB16, 2) <=> v123(constB16, 2))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24240, 24202, 27670])).
% 218.68/141.27 tff(27672,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24238, 27610, 27671])).
% 218.68/141.27 tff(27673,plain,((~v118(constB15)) | v84(constB16, 2)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27674,plain,
% 218.68/141.27 (v84(constB16, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27673, 27663])).
% 218.68/141.27 tff(27675,plain,
% 218.68/141.27 (v84(constB17, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22338, 27674])).
% 218.68/141.27 tff(27676,plain,
% 218.68/141.27 ((v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))) | (~v84(constB17, 2))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27677,plain,
% 218.68/141.27 (v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27676, 27675])).
% 218.68/141.27 tff(27678,plain,
% 218.68/141.27 (~v115(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22300, 27677])).
% 218.68/141.27 tff(27679,plain,
% 218.68/141.27 (~v84(constB16, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27615, 27663])).
% 218.68/141.27 tff(27680,plain,
% 218.68/141.27 (~v84(constB17, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24668, 27679])).
% 218.68/141.27 tff(27681,plain,
% 218.68/141.27 (v84(constB15, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23917, 23519, 23516])).
% 218.68/141.27 tff(27682,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))), introduced(assumption)).
% 218.68/141.27 tff(27683,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24416, 1977, 27580, 27682])).
% 218.68/141.27 tff(27684,plain,((~v118(constB15)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27685,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27684, 27663])).
% 218.68/141.27 tff(27686,plain,
% 218.68/141.27 (~v124(constB15, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27594, 27685])).
% 218.68/141.27 tff(27687,plain,
% 218.68/141.27 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24390, 27686])).
% 218.68/141.27 tff(27688,plain,
% 218.68/141.27 (~v117(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24397, 2090, 27636])).
% 218.68/141.27 tff(27689,plain,
% 218.68/141.27 (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24615, 27688, 22079])).
% 218.68/141.27 tff(27690,plain,
% 218.68/141.27 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22380, 27689, 22353])).
% 218.68/141.27 tff(27691,plain,
% 218.68/141.27 (v94(constB16)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22177, 27690])).
% 218.68/141.27 tff(27692,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24184, 27691])).
% 218.68/141.27 tff(27693,plain,
% 218.68/141.27 (v84(constB16, 1) <=> v123(constB16, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24193, 27692])).
% 218.68/141.27 tff(27694,plain,
% 218.68/141.27 (~v123(constB16, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24328, 27693])).
% 218.68/141.27 tff(27695,plain,
% 218.68/141.27 ((~(v123(constB16, 1) <=> v121(constB15, 1))) | (~v121(constB15, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24330, 27694])).
% 218.68/141.27 tff(27696,plain,
% 218.68/141.27 (~v121(constB15, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27695, 24325])).
% 218.68/141.27 tff(27697,plain,
% 218.68/141.27 ((~(v121(constB15, 1) <=> v124(constB15, 1))) | (~v124(constB15, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24333, 27696])).
% 218.68/141.27 tff(27698,plain,
% 218.68/141.27 (~v124(constB15, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27697, 24324])).
% 218.68/141.27 tff(27699,plain,
% 218.68/141.27 ((~(v124(constB15, 1) <=> b110(1))) | v124(constB15, 1) | (~b110(1))),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27700,plain,
% 218.68/141.27 (~(v124(constB15, 1) <=> b110(1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27699, 1662, 27698])).
% 218.68/141.27 tff(27701,plain,
% 218.68/141.27 (v84(constB16, 0) <=> v123(constB16, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24276, 27692])).
% 218.68/141.27 tff(27702,plain,
% 218.68/141.27 (~v123(constB16, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24279, 27701])).
% 218.68/141.27 tff(27703,plain,
% 218.68/141.27 ((~(v123(constB16, 0) <=> v121(constB15, 0))) | (~v121(constB15, 0))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24281, 27702])).
% 218.68/141.27 tff(27704,plain,
% 218.68/141.27 (~v121(constB15, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27703, 24268])).
% 218.68/141.27 tff(27705,plain,
% 218.68/141.27 ((~(v121(constB15, 0) <=> v124(constB15, 0))) | (~v124(constB15, 0))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24284, 27704])).
% 218.68/141.27 tff(27706,plain,
% 218.68/141.27 (~v124(constB15, 0)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27705, 24259])).
% 218.68/141.27 tff(27707,plain,
% 218.68/141.27 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24300, 27706])).
% 218.68/141.27 tff(27708,plain,
% 218.68/141.27 (v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22054, 24619])).
% 218.68/141.27 tff(27709,plain,
% 218.68/141.27 ((~(v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))) | (~v115(constB15))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22056, 27708])).
% 218.68/141.27 tff(27710,plain,
% 218.68/141.27 (~v115(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27709, 22053])).
% 218.68/141.27 tff(27711,plain,
% 218.68/141.27 (v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22019, 24619])).
% 218.68/141.27 tff(27712,plain,
% 218.68/141.27 ((~(v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 0)) | (~v84(constB15, 1)))))) | (~v116(constB15))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22021, 27711])).
% 218.68/141.27 tff(27713,plain,
% 218.68/141.27 (~v116(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27712, 21988])).
% 218.68/141.27 tff(27714,plain,
% 218.68/141.27 (v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22030, 24619])).
% 218.68/141.27 tff(27715,plain,
% 218.68/141.27 ((~(v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))))) | (~v113(constB15))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22032, 27714])).
% 218.68/141.27 tff(27716,plain,
% 218.68/141.27 (~v113(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27715, 22029])).
% 218.68/141.27 tff(27717,plain,
% 218.68/141.27 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22037, 24619])).
% 218.68/141.27 tff(27718,plain,
% 218.68/141.27 ((~(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))) | (~v114(constB15))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22039, 27717])).
% 218.68/141.27 tff(27719,plain,
% 218.68/141.27 (~v114(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27718, 22036])).
% 218.68/141.27 tff(27720,plain,
% 218.68/141.27 (v118(constB15) | v117(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24408, 1807, 27719, 27716, 27713, 27710])).
% 218.68/141.27 tff(27721,plain,
% 218.68/141.27 (v118(constB15)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27720, 27707, 27688])).
% 218.68/141.27 tff(27722,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24417, 27721])).
% 218.68/141.27 tff(27723,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 1) <=> b110(1)))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27724,plain,
% 218.68/141.27 (($false | $false | (v124(constB15, 1) <=> b110(1))) <=> (v124(constB15, 1) <=> b110(1))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27725,plain,
% 218.68/141.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b110(1))) <=> ($false | $false | (v124(constB15, 1) <=> b110(1)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.27 tff(27726,plain,
% 218.68/141.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b110(1))) <=> (v124(constB15, 1) <=> b110(1))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27725, 27724])).
% 218.68/141.27 tff(27727,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 1) <=> b110(1)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[27726])).
% 218.68/141.27 tff(27728,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 1) <=> b110(1)))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27727, 27723])).
% 218.68/141.27 tff(27729,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB15, 1) <=> b110(1)))),
% 218.68/141.27 inference(quant_inst,[status(thm)],[])).
% 218.68/141.27 tff(27730,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b110(B)))) | (v124(constB15, 1) <=> b110(1))),
% 218.68/141.27 inference(modus_ponens,[status(thm)],[27729, 27728])).
% 218.68/141.27 tff(27731,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27730, 27722, 27700])).
% 218.68/141.27 tff(27732,plain,((~v84(constB15, 2)) | v84(constB16, 1) | v84(constB16, 0) | (v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27733,plain,
% 218.68/141.27 (v84(constB16, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27732, 22353, 24619, 22244, 27636])).
% 218.68/141.27 tff(27734,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22237, 27733, 22373])).
% 218.68/141.27 tff(27735,plain,((v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))) | (~v84(constB15, 2)) | v84(constB16, 0) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27736,plain,
% 218.68/141.27 (v84(constB17, 1) | v84(constB17, 0) | (~v84(constB17, 2))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27735, 27687, 27681, 27679])).
% 218.68/141.27 tff(27737,plain,
% 218.68/141.27 (~v117(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[22392, 27736])).
% 218.68/141.27 tff(27738,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26545, 27737, 27680, 27678])).
% 218.68/141.27 tff(27739,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 2) <=> b001(2)))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27740,plain,
% 218.68/141.27 (($false | $false | (v124(constB17, 2) <=> b001(2))) <=> (v124(constB17, 2) <=> b001(2))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27741,plain,
% 218.68/141.27 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b001(2))) <=> ($false | $false | (v124(constB17, 2) <=> b001(2)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[534, 533])).
% 218.68/141.27 tff(27742,plain,
% 218.68/141.27 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b001(2))) <=> (v124(constB17, 2) <=> b001(2))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27741, 27740])).
% 218.68/141.27 tff(27743,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 2) <=> b001(2)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[27742])).
% 218.68/141.27 tff(27744,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 2) <=> b001(2)))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27743, 27739])).
% 218.68/141.27 tff(27745,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB17, 2) <=> b001(2)))),
% 218.68/141.27 inference(quant_inst,[status(thm)],[])).
% 218.68/141.27 tff(27746,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 2) <=> b001(2))),
% 218.68/141.27 inference(modus_ponens,[status(thm)],[27745, 27744])).
% 218.68/141.27 tff(27747,plain,
% 218.68/141.27 (v124(constB17, 2) <=> b001(2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27746, 27738])).
% 218.68/141.27 tff(27748,plain,
% 218.68/141.27 ((~(v124(constB17, 2) <=> b001(2))) | (~v124(constB17, 2)) | b001(2)),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27749,plain,
% 218.68/141.27 ((~(v124(constB17, 2) <=> b001(2))) | (~v124(constB17, 2))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27748, 1831])).
% 218.68/141.27 tff(27750,plain,
% 218.68/141.27 (~v124(constB17, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27749, 27747])).
% 218.68/141.27 tff(27751,plain,
% 218.68/141.27 ((~(v121(constB17, 2) <=> v124(constB17, 2))) | (~v121(constB17, 2))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27291, 27750])).
% 218.68/141.27 tff(27752,plain,
% 218.68/141.27 (~v121(constB17, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27751, 23934])).
% 218.68/141.27 tff(27753,plain,
% 218.68/141.27 ((~(v123(constB18, 2) <=> v121(constB17, 2))) | (~v123(constB18, 2))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27276, 27752])).
% 218.68/141.27 tff(27754,plain,
% 218.68/141.27 (~v123(constB18, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27753, 23950])).
% 218.68/141.27 tff(27755,plain,
% 218.68/141.27 ((~(v84(constB18, 2) <=> v123(constB18, 2))) | (~v84(constB18, 2))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27273, 27754])).
% 218.68/141.27 tff(27756,plain,
% 218.68/141.27 (~v84(constB18, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27755, 27661])).
% 218.68/141.27 tff(27757,plain,
% 218.68/141.27 (~v84(constB19, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26657, 27756])).
% 218.68/141.27 tff(27758,plain,
% 218.68/141.27 (v109(constB19)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26908, 27757])).
% 218.68/141.27 tff(27759,plain,
% 218.68/141.27 (v109(constB19) | v118(constB19)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26362, 27758])).
% 218.68/141.27 tff(27760,plain,
% 218.68/141.27 (v108(constB19)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26369, 27759])).
% 218.68/141.27 tff(27761,plain,
% 218.68/141.27 (v108(constB19) | v119(constB19)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26371, 27760])).
% 218.68/141.27 tff(27762,plain,
% 218.68/141.27 (v107(constB19)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26378, 27761])).
% 218.68/141.27 tff(27763,plain,
% 218.68/141.27 (~((~v107(constB19)) | (~v120(constB19)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26386, 27762])).
% 218.68/141.27 tff(27764,plain,
% 218.68/141.27 (v106(constB19)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26391, 27763])).
% 218.68/141.27 tff(27765,plain,
% 218.68/141.27 (v105(constB19) | v106(constB19)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26393, 27764])).
% 218.68/141.27 tff(27766,plain,
% 218.68/141.27 (v102(constB19)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26398, 27765])).
% 218.68/141.27 tff(27767,plain,
% 218.68/141.27 (v104(constB20)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26405, 27766])).
% 218.68/141.27 tff(27768,plain,
% 218.68/141.27 (~((~v95(constB20)) | (~v104(constB20)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26436, 27767])).
% 218.68/141.27 tff(27769,plain,
% 218.68/141.27 (v94(constB20)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26443, 27768])).
% 218.68/141.27 tff(27770,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26451, 27769])).
% 218.68/141.27 tff(27771,plain,
% 218.68/141.27 (v84(constB20, 1) <=> v123(constB20, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26991, 27770])).
% 218.68/141.27 tff(27772,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[26545, 24196, 25124, 26532])).
% 218.68/141.27 tff(27773,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 1) <=> b001(1)))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27774,plain,
% 218.68/141.27 (($false | $false | (v124(constB17, 1) <=> b001(1))) <=> (v124(constB17, 1) <=> b001(1))),
% 218.68/141.27 inference(rewrite,[status(thm)],[])).
% 218.68/141.27 tff(27775,plain,
% 218.68/141.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b001(1))) <=> ($false | $false | (v124(constB17, 1) <=> b001(1)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[402, 401])).
% 218.68/141.27 tff(27776,plain,
% 218.68/141.27 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b001(1))) <=> (v124(constB17, 1) <=> b001(1))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27775, 27774])).
% 218.68/141.27 tff(27777,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 1) <=> b001(1)))),
% 218.68/141.27 inference(monotonicity,[status(thm)],[27776])).
% 218.68/141.27 tff(27778,plain,
% 218.68/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 1) <=> b001(1)))),
% 218.68/141.27 inference(transitivity,[status(thm)],[27777, 27773])).
% 218.68/141.27 tff(27779,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b001(1)))),
% 218.68/141.27 inference(quant_inst,[status(thm)],[])).
% 218.68/141.27 tff(27780,plain,
% 218.68/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b001(B)))) | (v124(constB17, 1) <=> b001(1))),
% 218.68/141.27 inference(modus_ponens,[status(thm)],[27779, 27778])).
% 218.68/141.27 tff(27781,plain,
% 218.68/141.27 (v124(constB17, 1) <=> b001(1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27780, 27772])).
% 218.68/141.27 tff(27782,plain,
% 218.68/141.27 ((~(v124(constB17, 1) <=> b001(1))) | (~v124(constB17, 1)) | b001(1)),
% 218.68/141.27 inference(tautology,[status(thm)],[])).
% 218.68/141.27 tff(27783,plain,
% 218.68/141.27 ((~(v124(constB17, 1) <=> b001(1))) | (~v124(constB17, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27782, 1885])).
% 218.68/141.27 tff(27784,plain,
% 218.68/141.27 (~v124(constB17, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27783, 27781])).
% 218.68/141.27 tff(27785,plain,
% 218.68/141.27 ((~(v121(constB17, 1) <=> v124(constB17, 1))) | (~v121(constB17, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[25091, 27784])).
% 218.68/141.27 tff(27786,plain,
% 218.68/141.27 (~v121(constB17, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27785, 25069])).
% 218.68/141.27 tff(27787,plain,
% 218.68/141.27 (v84(constB17, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24558, 24196, 25125])).
% 218.68/141.27 tff(27788,plain,
% 218.68/141.27 (v115(constB17) | (v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24965, 22298])).
% 218.68/141.27 tff(27789,plain,
% 218.68/141.27 (v84(constB17, 2) | v84(constB17, 0) | (~v84(constB17, 1))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27788, 26532])).
% 218.68/141.27 tff(27790,plain,
% 218.68/141.27 (v84(constB17, 2)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24968, 24196, 27789, 27787])).
% 218.68/141.27 tff(27791,plain,
% 218.68/141.27 (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27562, 24196, 25125, 27790, 25126])).
% 218.68/141.27 tff(27792,plain,
% 218.68/141.27 ((~(v119(constB17) <=> (~(v84(constB17, 0) | (~v84(constB17, 2)) | (~v84(constB17, 1)))))) | v119(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27552, 27791])).
% 218.68/141.27 tff(27793,plain,
% 218.68/141.27 (v119(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27792, 22417])).
% 218.68/141.27 tff(27794,plain,
% 218.68/141.27 (v108(constB17) | v119(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27550, 27793])).
% 218.68/141.27 tff(27795,plain,
% 218.68/141.27 ((~(v107(constB17) <=> (v108(constB17) | v119(constB17)))) | v107(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23962, 27794])).
% 218.68/141.27 tff(27796,plain,
% 218.68/141.27 (v107(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27795, 21640])).
% 218.68/141.27 tff(27797,plain,
% 218.68/141.27 (~((~v107(constB17)) | (~v120(constB17)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23970, 27796])).
% 218.68/141.27 tff(27798,plain,
% 218.68/141.27 (v106(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23973, 27797])).
% 218.68/141.27 tff(27799,plain,
% 218.68/141.27 (v105(constB17) | v106(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23975, 27798])).
% 218.68/141.27 tff(27800,plain,
% 218.68/141.27 (v102(constB17)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23978, 27799])).
% 218.68/141.27 tff(27801,plain,
% 218.68/141.27 (v104(constB18)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[23981, 27800])).
% 218.68/141.27 tff(27802,plain,
% 218.68/141.27 (~((~v95(constB18)) | (~v104(constB18)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24012, 27801])).
% 218.68/141.27 tff(27803,plain,
% 218.68/141.27 (v94(constB18)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24015, 27802])).
% 218.68/141.27 tff(27804,plain,
% 218.68/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[24023, 27803])).
% 218.68/141.27 tff(27805,plain,
% 218.68/141.27 (v84(constB18, 1) <=> v123(constB18, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[25115, 27804])).
% 218.68/141.27 tff(27806,plain,
% 218.68/141.27 (v123(constB18, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[25118, 27805])).
% 218.68/141.27 tff(27807,plain,
% 218.68/141.27 ((~(v123(constB18, 1) <=> v121(constB17, 1))) | v121(constB17, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[25120, 27806])).
% 218.68/141.27 tff(27808,plain,
% 218.68/141.27 ($false),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27807, 27786, 25078])).
% 218.68/141.27 tff(27809,plain,(v84(constB17, 0) | (~v84(constB18, 1)) | v115(constB17)), inference(lemma,lemma(discharge,[]))).
% 218.68/141.27 tff(27810,plain,
% 218.68/141.27 (~v84(constB18, 1)),
% 218.68/141.27 inference(unit_resolution,[status(thm)],[27809, 27678, 27680])).
% 218.73/141.27 tff(27811,plain,
% 218.73/141.27 (~v84(constB19, 1)),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[25206, 27810])).
% 218.73/141.27 tff(27812,assumption,(~(v84(constB18, 0) <=> v123(constB18, 0))), introduced(assumption)).
% 218.73/141.27 tff(27813,plain,
% 218.73/141.27 ($false),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[24955, 26496, 27812])).
% 218.73/141.27 tff(27814,plain,((v84(constB18, 0) <=> v123(constB18, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B))))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.27 tff(27815,plain,
% 218.73/141.27 (v84(constB18, 0) <=> v123(constB18, 0)),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[27814, 26496])).
% 218.73/141.27 tff(27816,plain,
% 218.73/141.27 (~v123(constB18, 0)),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[24957, 27815, 21604])).
% 218.73/141.27 tff(27817,assumption,(~(v123(constB18, 0) <=> v121(constB17, 0))), introduced(assumption)).
% 218.73/141.27 tff(27818,plain,
% 218.73/141.27 ($false),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[24884, 23941, 27817])).
% 218.73/141.27 tff(27819,plain,(v123(constB18, 0) <=> v121(constB17, 0)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.27 tff(27820,plain,
% 218.73/141.27 (v123(constB18, 0) | (~v121(constB17, 0))),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[24960, 27819])).
% 218.73/141.27 tff(27821,plain,
% 218.73/141.27 (~v121(constB17, 0)),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[27820, 27816])).
% 218.73/141.27 tff(27822,plain,
% 218.73/141.27 (v117(constB17)),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[26563, 26496, 24196, 21604])).
% 218.73/141.27 tff(27823,plain,
% 218.73/141.27 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[24048, 27822])).
% 218.73/141.27 tff(27824,plain,
% 218.73/141.27 ((~(v124(constB17, 0) <=> b101(0))) | v124(constB17, 0) | (~b101(0))),
% 218.73/141.27 inference(tautology,[status(thm)],[])).
% 218.73/141.27 tff(27825,plain,
% 218.73/141.27 (~(v124(constB17, 0) <=> b101(0))),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[27824, 2042, 24906])).
% 218.73/141.27 tff(27826,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))), introduced(assumption)).
% 218.73/141.27 tff(27827,plain,
% 218.73/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 0) <=> b101(0)))),
% 218.73/141.27 inference(rewrite,[status(thm)],[])).
% 218.73/141.27 tff(27828,plain,
% 218.73/141.27 (($false | $false | (v124(constB17, 0) <=> b101(0))) <=> (v124(constB17, 0) <=> b101(0))),
% 218.73/141.27 inference(rewrite,[status(thm)],[])).
% 218.73/141.27 tff(27829,plain,
% 218.73/141.27 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b101(0))) <=> ($false | $false | (v124(constB17, 0) <=> b101(0)))),
% 218.73/141.27 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.27 tff(27830,plain,
% 218.73/141.27 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b101(0))) <=> (v124(constB17, 0) <=> b101(0))),
% 218.73/141.27 inference(transitivity,[status(thm)],[27829, 27828])).
% 218.73/141.27 tff(27831,plain,
% 218.73/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 0) <=> b101(0)))),
% 218.73/141.27 inference(monotonicity,[status(thm)],[27830])).
% 218.73/141.27 tff(27832,plain,
% 218.73/141.27 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 0) <=> b101(0)))),
% 218.73/141.27 inference(transitivity,[status(thm)],[27831, 27827])).
% 218.73/141.27 tff(27833,plain,
% 218.73/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b101(0)))),
% 218.73/141.27 inference(quant_inst,[status(thm)],[])).
% 218.73/141.27 tff(27834,plain,
% 218.73/141.27 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | (v124(constB17, 0) <=> b101(0))),
% 218.73/141.27 inference(modus_ponens,[status(thm)],[27833, 27832])).
% 218.73/141.27 tff(27835,plain,
% 218.73/141.27 ($false),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[27834, 27826, 27825])).
% 218.73/141.27 tff(27836,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b101(B)))) | v124(constB17, 0)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.27 tff(27837,plain,
% 218.73/141.27 (v124(constB17, 0)),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[27836, 27823])).
% 218.73/141.27 tff(27838,assumption,(~(v121(constB17, 0) <=> v124(constB17, 0))), introduced(assumption)).
% 218.73/141.27 tff(27839,plain,
% 218.73/141.27 ($false),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[24893, 23925, 27838])).
% 218.73/141.27 tff(27840,plain,(v121(constB17, 0) <=> v124(constB17, 0)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.27 tff(27841,plain,
% 218.73/141.27 (v121(constB17, 0) | (~v124(constB17, 0))),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[24921, 27840])).
% 218.73/141.27 tff(27842,plain,
% 218.73/141.27 ($false),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[27841, 27837, 27821])).
% 218.73/141.27 tff(27843,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))) | v84(constB18, 0) | v84(constB17, 0)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.27 tff(27844,plain,
% 218.73/141.27 (v84(constB18, 0)),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[27843, 27680, 27660])).
% 218.73/141.27 tff(27845,plain,
% 218.73/141.27 (v84(constB19, 0)),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[26810, 27844])).
% 218.73/141.27 tff(27846,plain,
% 218.73/141.27 (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[26888, 27757, 27845, 27811])).
% 218.73/141.27 tff(27847,plain,
% 218.73/141.27 ((~(v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))))) | v114(constB19)),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[26890, 27846])).
% 218.73/141.27 tff(27848,plain,
% 218.73/141.27 (v114(constB19)),
% 218.73/141.27 inference(unit_resolution,[status(thm)],[27847, 26766])).
% 218.73/141.27 tff(27849,assumption,(v114(constB19)), introduced(assumption)).
% 218.73/141.27 tff(27850,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))), introduced(assumption)).
% 218.73/141.27 tff(27851,plain,
% 218.73/141.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B))))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27852,plain,
% 218.73/141.28 (((~v114(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B))))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27853,plain,
% 218.73/141.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[27852])).
% 218.73/141.28 tff(27854,plain,
% 218.73/141.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B))))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27853, 27851])).
% 218.73/141.28 tff(27855,plain,
% 218.73/141.28 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(27856,plain,
% 218.73/141.28 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[27855, 27854])).
% 218.73/141.28 tff(27857,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27856, 2418, 27850, 27849])).
% 218.73/141.28 tff(27858,plain,((~v114(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(27859,plain,
% 218.73/141.28 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27858, 27848])).
% 218.73/141.28 tff(27860,assumption,(~v124(constB19, 1)), introduced(assumption)).
% 218.73/141.28 tff(27861,plain,
% 218.73/141.28 ((~(v124(constB19, 1) <=> b010(1))) | v124(constB19, 1) | (~b010(1))),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(27862,plain,
% 218.73/141.28 (~(v124(constB19, 1) <=> b010(1))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27861, 2513, 27860])).
% 218.73/141.28 tff(27863,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))), introduced(assumption)).
% 218.73/141.28 tff(27864,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 1) <=> b010(1)))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27865,plain,
% 218.73/141.28 (($false | $false | (v124(constB19, 1) <=> b010(1))) <=> (v124(constB19, 1) <=> b010(1))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27866,plain,
% 218.73/141.28 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b010(1))) <=> ($false | $false | (v124(constB19, 1) <=> b010(1)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.28 tff(27867,plain,
% 218.73/141.28 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b010(1))) <=> (v124(constB19, 1) <=> b010(1))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27866, 27865])).
% 218.73/141.28 tff(27868,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 1) <=> b010(1)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[27867])).
% 218.73/141.28 tff(27869,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 1) <=> b010(1)))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27868, 27864])).
% 218.73/141.28 tff(27870,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b010(1)))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(27871,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 1) <=> b010(1))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[27870, 27869])).
% 218.73/141.28 tff(27872,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27871, 27863, 27862])).
% 218.73/141.28 tff(27873,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | v124(constB19, 1)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(27874,plain,
% 218.73/141.28 (v124(constB19, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27873, 27859])).
% 218.73/141.28 tff(27875,plain,
% 218.73/141.28 (v121(constB19, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27055, 27874])).
% 218.73/141.28 tff(27876,plain,
% 218.73/141.28 (v123(constB20, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27061, 27875])).
% 218.73/141.28 tff(27877,plain,
% 218.73/141.28 (v84(constB20, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27063, 27876, 27771])).
% 218.73/141.28 tff(27878,plain,
% 218.73/141.28 (v84(constB21, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27066, 27877])).
% 218.73/141.28 tff(27879,plain,
% 218.73/141.28 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27084, 27878])).
% 218.73/141.28 tff(27880,plain,
% 218.73/141.28 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27079, 27878])).
% 218.73/141.28 tff(27881,plain,
% 218.73/141.28 (v84(constB20, 2) <=> v123(constB20, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[26995, 27770])).
% 218.73/141.28 tff(27882,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 2) <=> b010(2)))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27883,plain,
% 218.73/141.28 (($false | $false | (v124(constB19, 2) <=> b010(2))) <=> (v124(constB19, 2) <=> b010(2))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27884,plain,
% 218.73/141.28 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b010(2))) <=> ($false | $false | (v124(constB19, 2) <=> b010(2)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.28 tff(27885,plain,
% 218.73/141.28 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b010(2))) <=> (v124(constB19, 2) <=> b010(2))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27884, 27883])).
% 218.73/141.28 tff(27886,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 2) <=> b010(2)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[27885])).
% 218.73/141.28 tff(27887,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 2) <=> b010(2)))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27886, 27882])).
% 218.73/141.28 tff(27888,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b010(2)))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(27889,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 2) <=> b010(2))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[27888, 27887])).
% 218.73/141.28 tff(27890,plain,
% 218.73/141.28 (v124(constB19, 2) <=> b010(2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27889, 27859])).
% 218.73/141.28 tff(27891,plain,
% 218.73/141.28 ((~(v124(constB19, 2) <=> b010(2))) | (~v124(constB19, 2)) | b010(2)),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(27892,plain,
% 218.73/141.28 ((~(v124(constB19, 2) <=> b010(2))) | (~v124(constB19, 2))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27891, 2485])).
% 218.73/141.28 tff(27893,plain,
% 218.73/141.28 (~v124(constB19, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27892, 27890])).
% 218.73/141.28 tff(27894,plain,
% 218.73/141.28 ((~(v121(constB19, 2) <=> v124(constB19, 2))) | (~v121(constB19, 2)) | v124(constB19, 2)),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(27895,plain,
% 218.73/141.28 ((~v121(constB19, 2)) | v124(constB19, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27894, 27239])).
% 218.73/141.28 tff(27896,plain,
% 218.73/141.28 (~v121(constB19, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27895, 27893])).
% 218.73/141.28 tff(27897,plain,
% 218.73/141.28 ((~(v123(constB20, 2) <=> v121(constB19, 2))) | (~v123(constB20, 2)) | v121(constB19, 2)),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(27898,plain,
% 218.73/141.28 ((~v123(constB20, 2)) | v121(constB19, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27897, 27234])).
% 218.73/141.28 tff(27899,plain,
% 218.73/141.28 (~v123(constB20, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27898, 27896])).
% 218.73/141.28 tff(27900,plain,
% 218.73/141.28 ((~(v84(constB20, 2) <=> v123(constB20, 2))) | (~v84(constB20, 2)) | v123(constB20, 2)),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(27901,plain,
% 218.73/141.28 (~v84(constB20, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27900, 27899, 27881])).
% 218.73/141.28 tff(27902,plain,
% 218.73/141.28 ((~(v84(constB21, 2) <=> v84(constB20, 2))) | (~v84(constB21, 2)) | v84(constB20, 2)),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(27903,plain,
% 218.73/141.28 ((~v84(constB21, 2)) | v84(constB20, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27902, 26295])).
% 218.73/141.28 tff(27904,plain,
% 218.73/141.28 (~v84(constB21, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27903, 27901])).
% 218.73/141.28 tff(27905,plain,
% 218.73/141.28 (~v84(constB21, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25599, 25574, 25569])).
% 218.73/141.28 tff(27906,plain,
% 218.73/141.28 (v84(constB21, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[26062, 27905, 26055, 25574])).
% 218.73/141.28 tff(27907,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[26073, 27906, 27905, 25574, 26053])).
% 218.73/141.28 tff(27908,plain,(v84(constB21, 2) | (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))) | (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))) | (v111(constB21) | v116(constB21))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(27909,plain,
% 218.73/141.28 (v111(constB21) | v116(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27908, 27904, 27880, 27879])).
% 218.73/141.28 tff(27910,plain,
% 218.73/141.28 ((~(v110(constB21) <=> (v111(constB21) | v116(constB21)))) | v110(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25601, 27909])).
% 218.73/141.28 tff(27911,plain,
% 218.73/141.28 (v110(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27910, 25492])).
% 218.73/141.28 tff(27912,plain,
% 218.73/141.28 (v110(constB21) | v117(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25636, 27911])).
% 218.73/141.28 tff(27913,plain,
% 218.73/141.28 (v109(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25633, 27912, 25605])).
% 218.73/141.28 tff(27914,plain,
% 218.73/141.28 (v109(constB21) | v118(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25631, 27913])).
% 218.73/141.28 tff(27915,plain,
% 218.73/141.28 (v108(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25628, 27914, 25607])).
% 218.73/141.28 tff(27916,plain,
% 218.73/141.28 (v108(constB21) | v119(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25626, 27915])).
% 218.73/141.28 tff(27917,plain,
% 218.73/141.28 (v107(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25623, 27916, 25609])).
% 218.73/141.28 tff(27918,plain,
% 218.73/141.28 (~((~v107(constB21)) | (~v120(constB21)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25621, 27917])).
% 218.73/141.28 tff(27919,plain,
% 218.73/141.28 (v106(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25613, 27918])).
% 218.73/141.28 tff(27920,plain,
% 218.73/141.28 (v105(constB21) | v106(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25640, 27919])).
% 218.73/141.28 tff(27921,plain,
% 218.73/141.28 (v102(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25643, 27920])).
% 218.73/141.28 tff(27922,plain,
% 218.73/141.28 (v104(constB22)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25646, 27921])).
% 218.73/141.28 tff(27923,plain,
% 218.73/141.28 (~((~v95(constB22)) | (~v104(constB22)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25680, 27922])).
% 218.73/141.28 tff(27924,plain,
% 218.73/141.28 (v94(constB22)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25683, 27923])).
% 218.73/141.28 tff(27925,plain,
% 218.73/141.28 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25691, 27924])).
% 218.73/141.28 tff(27926,plain,
% 218.73/141.28 (v84(constB22, 2) <=> v123(constB22, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25716, 27925])).
% 218.73/141.28 tff(27927,plain,
% 218.73/141.28 (v84(constB22, 1) <=> v123(constB22, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25730, 27925])).
% 218.73/141.28 tff(27928,plain,
% 218.73/141.28 (v84(constB20, 0) <=> v123(constB20, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27007, 27770])).
% 218.73/141.28 tff(27929,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 0) <=> b010(0)))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27930,plain,
% 218.73/141.28 (($false | $false | (v124(constB19, 0) <=> b010(0))) <=> (v124(constB19, 0) <=> b010(0))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27931,plain,
% 218.73/141.28 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b010(0))) <=> ($false | $false | (v124(constB19, 0) <=> b010(0)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.28 tff(27932,plain,
% 218.73/141.28 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b010(0))) <=> (v124(constB19, 0) <=> b010(0))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27931, 27930])).
% 218.73/141.28 tff(27933,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 0) <=> b010(0)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[27932])).
% 218.73/141.28 tff(27934,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 0) <=> b010(0)))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27933, 27929])).
% 218.73/141.28 tff(27935,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b010(0)))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(27936,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (v124(constB19, 0) <=> b010(0))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[27935, 27934])).
% 218.73/141.28 tff(27937,plain,
% 218.73/141.28 (v124(constB19, 0) <=> b010(0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27936, 27859])).
% 218.73/141.28 tff(27938,plain,
% 218.73/141.28 ((~(v124(constB19, 0) <=> b010(0))) | (~v124(constB19, 0)) | b010(0)),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(27939,plain,
% 218.73/141.28 ((~(v124(constB19, 0) <=> b010(0))) | (~v124(constB19, 0))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27938, 2437])).
% 218.73/141.28 tff(27940,plain,
% 218.73/141.28 (~v124(constB19, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27939, 27937])).
% 218.73/141.28 tff(27941,plain,
% 218.73/141.28 ((~(v121(constB19, 0) <=> v124(constB19, 0))) | (~v121(constB19, 0))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27133, 27940])).
% 218.73/141.28 tff(27942,plain,
% 218.73/141.28 (~v121(constB19, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27941, 27120])).
% 218.73/141.28 tff(27943,assumption,(~(v123(constB20, 0) <=> v121(constB19, 0))), introduced(assumption)).
% 218.73/141.28 tff(27944,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27110, 26331, 27943])).
% 218.73/141.28 tff(27945,plain,(v123(constB20, 0) <=> v121(constB19, 0)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(27946,plain,
% 218.73/141.28 ((~v123(constB20, 0)) | v121(constB19, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27136, 27945])).
% 218.73/141.28 tff(27947,plain,
% 218.73/141.28 (~v123(constB20, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27946, 27942])).
% 218.73/141.28 tff(27948,plain,
% 218.73/141.28 (~v84(constB20, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27139, 27947, 27928])).
% 218.73/141.28 tff(27949,plain,
% 218.73/141.28 ((~(v84(constB21, 0) <=> v84(constB20, 0))) | (~v84(constB21, 0))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27141, 27948])).
% 218.73/141.28 tff(27950,plain,
% 218.73/141.28 (~v84(constB21, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27949, 27101])).
% 218.73/141.28 tff(27951,plain,
% 218.73/141.28 ((~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))) | v84(constB21, 0) | v84(constB21, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25596, 27878])).
% 218.73/141.28 tff(27952,plain,
% 218.73/141.28 (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27951, 27950, 27904])).
% 218.73/141.28 tff(27953,plain,
% 218.73/141.28 (v115(constB21)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25594, 27952, 25585])).
% 218.73/141.28 tff(27954,plain,
% 218.73/141.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B))))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27955,plain,
% 218.73/141.28 (((~v115(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B))))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27956,plain,
% 218.73/141.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[27955])).
% 218.73/141.28 tff(27957,plain,
% 218.73/141.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B))))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27956, 27954])).
% 218.73/141.28 tff(27958,plain,
% 218.73/141.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB21)) | ![B: $int] : ((v124(constB21, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(27959,plain,
% 218.73/141.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[27958, 27957])).
% 218.73/141.28 tff(27960,plain,
% 218.73/141.28 ((~v115(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27959, 2144])).
% 218.73/141.28 tff(27961,plain,
% 218.73/141.28 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27960, 27953])).
% 218.73/141.28 tff(27962,assumption,(~v124(constB21, 1)), introduced(assumption)).
% 218.73/141.28 tff(27963,plain,
% 218.73/141.28 ((~(v124(constB21, 1) <=> b011(1))) | v124(constB21, 1) | (~b011(1))),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(27964,plain,
% 218.73/141.28 (~(v124(constB21, 1) <=> b011(1))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27963, 2593, 27962])).
% 218.73/141.28 tff(27965,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))), introduced(assumption)).
% 218.73/141.28 tff(27966,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 1) <=> b011(1)))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27967,plain,
% 218.73/141.28 (($false | $false | (v124(constB21, 1) <=> b011(1))) <=> (v124(constB21, 1) <=> b011(1))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27968,plain,
% 218.73/141.28 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b011(1))) <=> ($false | $false | (v124(constB21, 1) <=> b011(1)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.28 tff(27969,plain,
% 218.73/141.28 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b011(1))) <=> (v124(constB21, 1) <=> b011(1))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27968, 27967])).
% 218.73/141.28 tff(27970,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 1) <=> b011(1)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[27969])).
% 218.73/141.28 tff(27971,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 1) <=> b011(1)))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27970, 27966])).
% 218.73/141.28 tff(27972,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b011(1)))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(27973,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 1) <=> b011(1))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[27972, 27971])).
% 218.73/141.28 tff(27974,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27973, 27965, 27964])).
% 218.73/141.28 tff(27975,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | v124(constB21, 1)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(27976,plain,
% 218.73/141.28 (v124(constB21, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27975, 27961])).
% 218.73/141.28 tff(27977,plain,
% 218.73/141.28 (v121(constB21, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[26128, 27976])).
% 218.73/141.28 tff(27978,plain,
% 218.73/141.28 (v123(constB22, 1) | (~v121(constB21, 1))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[26130, 25890])).
% 218.73/141.28 tff(27979,plain,
% 218.73/141.28 (v123(constB22, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27978, 27977])).
% 218.73/141.28 tff(27980,plain,
% 218.73/141.28 (v84(constB22, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[26111, 27979, 27927])).
% 218.73/141.28 tff(27981,plain,
% 218.73/141.28 ((~(v84(constB23, 1) <=> v84(constB22, 1))) | v84(constB23, 1) | (~v84(constB22, 1))),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(27982,plain,
% 218.73/141.28 (v84(constB23, 1) | (~v84(constB22, 1))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27981, 25471])).
% 218.73/141.28 tff(27983,plain,
% 218.73/141.28 (v84(constB23, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27982, 27980])).
% 218.73/141.28 tff(27984,assumption,((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))), introduced(assumption)).
% 218.73/141.28 tff(27985,plain,
% 218.73/141.28 (v84(constB22, 0) <=> v123(constB22, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25704, 27925])).
% 218.73/141.28 tff(27986,plain,
% 218.73/141.28 ((~(v124(constB21, 0) <=> b011(0))) | v124(constB21, 0) | (~b011(0))),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(27987,plain,
% 218.73/141.28 (~(v124(constB21, 0) <=> b011(0))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27986, 2025, 25734])).
% 218.73/141.28 tff(27988,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 0) <=> b011(0)))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27989,plain,
% 218.73/141.28 (($false | $false | (v124(constB21, 0) <=> b011(0))) <=> (v124(constB21, 0) <=> b011(0))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(27990,plain,
% 218.73/141.28 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b011(0))) <=> ($false | $false | (v124(constB21, 0) <=> b011(0)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.28 tff(27991,plain,
% 218.73/141.28 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b011(0))) <=> (v124(constB21, 0) <=> b011(0))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27990, 27989])).
% 218.73/141.28 tff(27992,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 0) <=> b011(0)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[27991])).
% 218.73/141.28 tff(27993,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 0) <=> b011(0)))),
% 218.73/141.28 inference(transitivity,[status(thm)],[27992, 27988])).
% 218.73/141.28 tff(27994,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b011(0)))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(27995,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 0) <=> b011(0))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[27994, 27993])).
% 218.73/141.28 tff(27996,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27995, 27965, 27987])).
% 218.73/141.28 tff(27997,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | v124(constB21, 0)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(27998,plain,
% 218.73/141.28 (v124(constB21, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27997, 27961])).
% 218.73/141.28 tff(27999,plain,
% 218.73/141.28 (v121(constB21, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25767, 27998])).
% 218.73/141.28 tff(28000,plain,
% 218.73/141.28 (v123(constB22, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25788, 27999])).
% 218.73/141.28 tff(28001,plain,
% 218.73/141.28 (v84(constB22, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25790, 28000, 27985])).
% 218.73/141.28 tff(28002,plain,
% 218.73/141.28 (v84(constB23, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25804, 28001])).
% 218.73/141.28 tff(28003,plain,
% 218.73/141.28 ((~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))) | (~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(28004,plain,
% 218.73/141.28 (v84(constB23, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28003, 28002, 27984, 27983])).
% 218.73/141.28 tff(28005,plain,
% 218.73/141.28 (v84(constB22, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25851, 28004])).
% 218.73/141.28 tff(28006,plain,
% 218.73/141.28 (v123(constB22, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25848, 28005, 27926])).
% 218.73/141.28 tff(28007,plain,
% 218.73/141.28 (v121(constB21, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25846, 28006])).
% 218.73/141.28 tff(28008,plain,
% 218.73/141.28 (v124(constB21, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25832, 28007])).
% 218.73/141.28 tff(28009,plain,
% 218.73/141.28 ((~(v124(constB21, 2) <=> b011(2))) | (~v124(constB21, 2)) | b011(2)),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(28010,plain,
% 218.73/141.28 (~(v124(constB21, 2) <=> b011(2))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28009, 2569, 28008])).
% 218.73/141.28 tff(28011,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 2) <=> b011(2)))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(28012,plain,
% 218.73/141.28 (($false | $false | (v124(constB21, 2) <=> b011(2))) <=> (v124(constB21, 2) <=> b011(2))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(28013,plain,
% 218.73/141.28 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b011(2))) <=> ($false | $false | (v124(constB21, 2) <=> b011(2)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.28 tff(28014,plain,
% 218.73/141.28 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b011(2))) <=> (v124(constB21, 2) <=> b011(2))),
% 218.73/141.28 inference(transitivity,[status(thm)],[28013, 28012])).
% 218.73/141.28 tff(28015,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 2) <=> b011(2)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[28014])).
% 218.73/141.28 tff(28016,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 2) <=> b011(2)))),
% 218.73/141.28 inference(transitivity,[status(thm)],[28015, 28011])).
% 218.73/141.28 tff(28017,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b011(2)))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(28018,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))) | (v124(constB21, 2) <=> b011(2))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[28017, 28016])).
% 218.73/141.28 tff(28019,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28018, 27961, 28010])).
% 218.73/141.28 tff(28020,plain,((~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))) | (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))) | v84(constB15, 1) | (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(28021,plain,
% 218.73/141.28 (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28020, 27538, 27337, 27269])).
% 218.73/141.28 tff(28022,plain,
% 218.73/141.28 (v84(constB14, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[23861, 27532, 27428, 27448])).
% 218.73/141.28 tff(28023,plain,
% 218.73/141.28 (v84(constB15, 0) | (~v84(constB14, 0))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21970, 23499])).
% 218.73/141.28 tff(28024,plain,
% 218.73/141.28 (v84(constB15, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28023, 28022])).
% 218.73/141.28 tff(28025,plain,
% 218.73/141.28 ((v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))) | (~v84(constB15, 0))),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(28026,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28025, 28024, 28021])).
% 218.73/141.28 tff(28027,plain,(v102(constB9) | (~(v84(constB12, 2) <=> v123(constB12, 2))) | (~(v108(constB11) | v119(constB11)))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(28028,plain,
% 218.73/141.28 (v102(constB9)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28027, 20668, 20651])).
% 218.73/141.28 tff(28029,plain,
% 218.73/141.28 (v105(constB9) | v106(constB9)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25336, 28028])).
% 218.73/141.28 tff(28030,plain,
% 218.73/141.28 (v106(constB9)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25333, 28029])).
% 218.73/141.28 tff(28031,plain,
% 218.73/141.28 (~((~v107(constB9)) | (~v120(constB9)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25330, 28030])).
% 218.73/141.28 tff(28032,plain,
% 218.73/141.28 (v107(constB9)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25327, 28031])).
% 218.73/141.28 tff(28033,plain,
% 218.73/141.28 (v108(constB9) | v119(constB9)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25325, 28032, 20639])).
% 218.73/141.28 tff(28034,plain,
% 218.73/141.28 (~v123(constB12, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[23304, 20651, 20074])).
% 218.73/141.28 tff(28035,plain,
% 218.73/141.28 (~v121(constB11, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27445, 28034])).
% 218.73/141.28 tff(28036,plain,
% 218.73/141.28 (~v124(constB11, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27443, 28035])).
% 218.73/141.28 tff(28037,plain,
% 218.73/141.28 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[23326, 28036])).
% 218.73/141.28 tff(28038,plain,
% 218.73/141.28 ((~(v124(constB11, 2) <=> b101(2))) | v124(constB11, 2) | (~b101(2))),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(28039,plain,
% 218.73/141.28 (~(v124(constB11, 2) <=> b101(2))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28038, 2354, 23313])).
% 218.73/141.28 tff(28040,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))), introduced(assumption)).
% 218.73/141.28 tff(28041,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 2) <=> b101(2)))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(28042,plain,
% 218.73/141.28 (($false | $false | (v124(constB11, 2) <=> b101(2))) <=> (v124(constB11, 2) <=> b101(2))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(28043,plain,
% 218.73/141.28 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b101(2))) <=> ($false | $false | (v124(constB11, 2) <=> b101(2)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.28 tff(28044,plain,
% 218.73/141.28 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b101(2))) <=> (v124(constB11, 2) <=> b101(2))),
% 218.73/141.28 inference(transitivity,[status(thm)],[28043, 28042])).
% 218.73/141.28 tff(28045,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 2) <=> b101(2)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[28044])).
% 218.73/141.28 tff(28046,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 2) <=> b101(2)))),
% 218.73/141.28 inference(transitivity,[status(thm)],[28045, 28041])).
% 218.73/141.28 tff(28047,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b101(2)))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(28048,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | (v124(constB11, 2) <=> b101(2))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[28047, 28046])).
% 218.73/141.28 tff(28049,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28048, 28040, 28039])).
% 218.73/141.28 tff(28050,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))) | v124(constB11, 2)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(28051,plain,
% 218.73/141.28 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b101(B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28050, 28036])).
% 218.73/141.28 tff(28052,plain,
% 218.73/141.28 (~v117(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[20445, 28051])).
% 218.73/141.28 tff(28053,plain,
% 218.73/141.28 (v104(constB10)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[20823, 28028])).
% 218.73/141.28 tff(28054,plain,
% 218.73/141.28 (~((~v95(constB10)) | (~v104(constB10)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[20820, 28053])).
% 218.73/141.28 tff(28055,plain,
% 218.73/141.28 (v94(constB10)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[20786, 28054])).
% 218.73/141.28 tff(28056,plain,
% 218.73/141.28 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21047, 28055])).
% 218.73/141.28 tff(28057,assumption,(~(v84(constB10, 2) <=> v123(constB10, 2))), introduced(assumption)).
% 218.73/141.28 tff(28058,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[22611, 21361, 28057])).
% 218.73/141.28 tff(28059,plain,((v84(constB10, 2) <=> v123(constB10, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B))))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(28060,plain,
% 218.73/141.28 (v84(constB10, 2) <=> v123(constB10, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28059, 21361])).
% 218.73/141.28 tff(28061,plain,
% 218.73/141.28 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[23340, 20021])).
% 218.73/141.28 tff(28062,plain,
% 218.73/141.28 (~v114(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[23351, 28061])).
% 218.73/141.28 tff(28063,plain,
% 218.73/141.28 (v84(constB10, 2) <=> v123(constB10, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[22611, 21361])).
% 218.73/141.28 tff(28064,plain,
% 218.73/141.28 (~v84(constB10, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[20928, 23148])).
% 218.73/141.28 tff(28065,plain,
% 218.73/141.28 ((~(v84(constB10, 2) <=> v123(constB10, 2))) | (~v123(constB10, 2))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[22630, 28064])).
% 218.73/141.28 tff(28066,plain,
% 218.73/141.28 (~v123(constB10, 2)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28065, 28063])).
% 218.73/141.28 tff(28067,assumption,(~(v84(constB10, 1) <=> v123(constB10, 1))), introduced(assumption)).
% 218.73/141.28 tff(28068,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21183, 21361, 28067])).
% 218.73/141.28 tff(28069,plain,((v84(constB10, 1) <=> v123(constB10, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B))))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(28070,plain,
% 218.73/141.28 (v84(constB10, 1) <=> v123(constB10, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28069, 21361])).
% 218.73/141.28 tff(28071,plain,
% 218.73/141.28 (v114(constB11) | (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[20175, 20592])).
% 218.73/141.28 tff(28072,plain,
% 218.73/141.28 (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28071, 20600])).
% 218.73/141.28 tff(28073,plain,
% 218.73/141.28 ((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21290, 23148])).
% 218.73/141.28 tff(28074,plain,
% 218.73/141.28 ((~(v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))) | (~v119(constB11))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25370, 28073])).
% 218.73/141.28 tff(28075,plain,
% 218.73/141.28 (~v119(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28074, 20316])).
% 218.73/141.28 tff(28076,plain,
% 218.73/141.28 (v108(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25373, 28075, 27357])).
% 218.73/141.28 tff(28077,plain,
% 218.73/141.28 (v109(constB11) | v118(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25376, 28076])).
% 218.73/141.28 tff(28078,plain,
% 218.73/141.28 (v109(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25392, 28077, 20612])).
% 218.73/141.28 tff(28079,plain,
% 218.73/141.28 (v110(constB11) | v117(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25395, 28078])).
% 218.73/141.28 tff(28080,plain,
% 218.73/141.28 (v110(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25397, 28079, 20599])).
% 218.73/141.28 tff(28081,plain,
% 218.73/141.28 (v111(constB11) | v116(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25362, 28080])).
% 218.73/141.28 tff(28082,plain,
% 218.73/141.28 (v111(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25359, 23370, 28081])).
% 218.73/141.28 tff(28083,plain,
% 218.73/141.28 (v112(constB11) | v115(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25357, 28082])).
% 218.73/141.28 tff(28084,plain,
% 218.73/141.28 (v112(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25354, 28083, 22810])).
% 218.73/141.28 tff(28085,plain,
% 218.73/141.28 (v113(constB11) | v114(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[27349, 28084])).
% 218.73/141.28 tff(28086,plain,
% 218.73/141.28 (v113(constB11)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[25349, 28085, 20600])).
% 218.73/141.28 tff(28087,plain,
% 218.73/141.28 (~(v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[22726, 28086])).
% 218.73/141.28 tff(28088,plain,
% 218.73/141.28 (~v84(constB11, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[23135, 28087])).
% 218.73/141.28 tff(28089,plain,
% 218.73/141.28 (~v84(constB11, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[20343, 23148, 20204, 20325])).
% 218.73/141.28 tff(28090,plain,
% 218.73/141.28 ((~(v84(constB11, 0) <=> v84(constB10, 0))) | (~v84(constB10, 0))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[20948, 28089])).
% 218.73/141.28 tff(28091,plain,
% 218.73/141.28 (~v84(constB10, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28090, 20915])).
% 218.73/141.28 tff(28092,plain,
% 218.73/141.28 (~v117(constB9)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21058, 28091])).
% 218.73/141.28 tff(28093,plain,
% 218.73/141.28 (~v84(constB10, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21264, 20325])).
% 218.73/141.28 tff(28094,plain,
% 218.73/141.28 (v94(constB10)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[20867, 28064])).
% 218.73/141.28 tff(28095,plain,
% 218.73/141.28 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21047, 28094])).
% 218.73/141.28 tff(28096,plain,
% 218.73/141.28 (v84(constB10, 0) <=> v123(constB10, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21056, 28095])).
% 218.73/141.28 tff(28097,plain,
% 218.73/141.28 ((~(v84(constB10, 0) <=> v123(constB10, 0))) | (~v123(constB10, 0))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21020, 28091])).
% 218.73/141.28 tff(28098,plain,
% 218.73/141.28 (~v123(constB10, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28097, 28096])).
% 218.73/141.28 tff(28099,plain,
% 218.73/141.28 (~v121(constB9, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21017, 28098])).
% 218.73/141.28 tff(28100,plain,
% 218.73/141.28 (~v124(constB9, 0)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[20996, 28099])).
% 218.73/141.28 tff(28101,plain,
% 218.73/141.28 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21199, 28100])).
% 218.73/141.28 tff(28102,plain,
% 218.73/141.28 (v84(constB10, 1) <=> v123(constB10, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21183, 28095])).
% 218.73/141.28 tff(28103,plain,
% 218.73/141.28 ((~(v84(constB10, 1) <=> v123(constB10, 1))) | (~v123(constB10, 1))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21152, 28093])).
% 218.73/141.28 tff(28104,plain,
% 218.73/141.28 (~v123(constB10, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28103, 28102])).
% 218.73/141.28 tff(28105,plain,
% 218.73/141.28 (~v121(constB9, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21150, 28104])).
% 218.73/141.28 tff(28106,plain,
% 218.73/141.28 (~v124(constB9, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21136, 28105])).
% 218.73/141.28 tff(28107,plain,
% 218.73/141.28 ((~(v124(constB9, 1) <=> b010(1))) | v124(constB9, 1) | (~b010(1))),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(28108,plain,
% 218.73/141.28 (~(v124(constB9, 1) <=> b010(1))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28107, 2513, 21109])).
% 218.73/141.28 tff(28109,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 1) <=> b010(1)))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(28110,plain,
% 218.73/141.28 (($false | $false | (v124(constB9, 1) <=> b010(1))) <=> (v124(constB9, 1) <=> b010(1))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(28111,plain,
% 218.73/141.28 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b010(1))) <=> ($false | $false | (v124(constB9, 1) <=> b010(1)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.28 tff(28112,plain,
% 218.73/141.28 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b010(1))) <=> (v124(constB9, 1) <=> b010(1))),
% 218.73/141.28 inference(transitivity,[status(thm)],[28111, 28110])).
% 218.73/141.28 tff(28113,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 1) <=> b010(1)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[28112])).
% 218.73/141.28 tff(28114,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 1) <=> b010(1)))),
% 218.73/141.28 inference(transitivity,[status(thm)],[28113, 28109])).
% 218.73/141.28 tff(28115,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b010(1)))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(28116,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 1) <=> b010(1))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[28115, 28114])).
% 218.73/141.28 tff(28117,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28116, 21400, 28108])).
% 218.73/141.28 tff(28118,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | v124(constB9, 1)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(28119,plain,
% 218.73/141.28 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28118, 28106])).
% 218.73/141.28 tff(28120,plain,
% 218.73/141.28 (~v114(constB9)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21421, 28119])).
% 218.73/141.28 tff(28121,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21185, 28120, 28101, 28093, 21090, 28092, 20947])).
% 218.73/141.28 tff(28122,plain,(v84(constB11, 2) | v116(constB9) | v115(constB9) | (~(v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0)))) | v84(constB11, 1)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(28123,plain,
% 218.73/141.28 (v115(constB9)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28122, 28088, 21090, 28072, 23148])).
% 218.73/141.28 tff(28124,assumption,(v115(constB9)), introduced(assumption)).
% 218.73/141.28 tff(28125,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))), introduced(assumption)).
% 218.73/141.28 tff(28126,plain,
% 218.73/141.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B))))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(28127,plain,
% 218.73/141.28 (((~v115(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B))))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(28128,plain,
% 218.73/141.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[28127])).
% 218.73/141.28 tff(28129,plain,
% 218.73/141.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B))))),
% 218.73/141.28 inference(transitivity,[status(thm)],[28128, 28126])).
% 218.73/141.28 tff(28130,plain,
% 218.73/141.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB9)) | ![B: $int] : ((v124(constB9, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(28131,plain,
% 218.73/141.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[28130, 28129])).
% 218.73/141.28 tff(28132,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28131, 2144, 28125, 28124])).
% 218.73/141.28 tff(28133,plain,((~v115(constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(28134,plain,
% 218.73/141.28 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28133, 28123])).
% 218.73/141.28 tff(28135,assumption,(~(v124(constB9, 1) <=> b011(1))), introduced(assumption)).
% 218.73/141.28 tff(28136,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))), introduced(assumption)).
% 218.73/141.28 tff(28137,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | (v124(constB9, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | (v124(constB9, 1) <=> b011(1)))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(28138,plain,
% 218.73/141.28 (($false | $false | (v124(constB9, 1) <=> b011(1))) <=> (v124(constB9, 1) <=> b011(1))),
% 218.73/141.28 inference(rewrite,[status(thm)],[])).
% 218.73/141.28 tff(28139,plain,
% 218.73/141.28 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b011(1))) <=> ($false | $false | (v124(constB9, 1) <=> b011(1)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.28 tff(28140,plain,
% 218.73/141.28 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b011(1))) <=> (v124(constB9, 1) <=> b011(1))),
% 218.73/141.28 inference(transitivity,[status(thm)],[28139, 28138])).
% 218.73/141.28 tff(28141,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | (v124(constB9, 1) <=> b011(1)))),
% 218.73/141.28 inference(monotonicity,[status(thm)],[28140])).
% 218.73/141.28 tff(28142,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | (v124(constB9, 1) <=> b011(1)))),
% 218.73/141.28 inference(transitivity,[status(thm)],[28141, 28137])).
% 218.73/141.28 tff(28143,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB9, 1) <=> b011(1)))),
% 218.73/141.28 inference(quant_inst,[status(thm)],[])).
% 218.73/141.28 tff(28144,plain,
% 218.73/141.28 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | (v124(constB9, 1) <=> b011(1))),
% 218.73/141.28 inference(modus_ponens,[status(thm)],[28143, 28142])).
% 218.73/141.28 tff(28145,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28144, 28136, 28135])).
% 218.73/141.28 tff(28146,plain,((v124(constB9, 1) <=> b011(1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B))))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(28147,plain,
% 218.73/141.28 (v124(constB9, 1) <=> b011(1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28146, 28134])).
% 218.73/141.28 tff(28148,assumption,(v84(constB10, 1) <=> v123(constB10, 1)), introduced(assumption)).
% 218.73/141.28 tff(28149,plain,
% 218.73/141.28 (~v84(constB10, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21264, 28088])).
% 218.73/141.28 tff(28150,plain,
% 218.73/141.28 (~v123(constB10, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21152, 28149, 28148])).
% 218.73/141.28 tff(28151,plain,
% 218.73/141.28 (~v121(constB9, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21150, 28150])).
% 218.73/141.28 tff(28152,plain,
% 218.73/141.28 (~v124(constB9, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21136, 28151])).
% 218.73/141.28 tff(28153,plain,
% 218.73/141.28 ((~(v124(constB9, 1) <=> b011(1))) | v124(constB9, 1) | (~b011(1))),
% 218.73/141.28 inference(tautology,[status(thm)],[])).
% 218.73/141.28 tff(28154,plain,
% 218.73/141.28 ((~(v124(constB9, 1) <=> b011(1))) | v124(constB9, 1)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28153, 2593])).
% 218.73/141.28 tff(28155,plain,
% 218.73/141.28 ($false),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28154, 28152, 28147])).
% 218.73/141.28 tff(28156,plain,(v84(constB11, 2) | (~(v84(constB10, 1) <=> v123(constB10, 1))) | v116(constB9) | v114(constB11) | v115(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B))) | v117(constB11) | v118(constB11) | (~(v108(constB11) | v119(constB11)))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.28 tff(28157,plain,
% 218.73/141.28 (v116(constB9)),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[28156, 23148, 28070, 20600, 22810, 23369, 20599, 20612, 27357])).
% 218.73/141.28 tff(28158,plain,
% 218.73/141.28 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))),
% 218.73/141.28 inference(unit_resolution,[status(thm)],[21395, 28157])).
% 218.73/141.28 tff(28159,plain,
% 218.73/141.28 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | (v124(constB9, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | (v124(constB9, 2) <=> b100(2)))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28160,plain,
% 218.73/141.29 (($false | $false | (v124(constB9, 2) <=> b100(2))) <=> (v124(constB9, 2) <=> b100(2))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28161,plain,
% 218.73/141.29 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b100(2))) <=> ($false | $false | (v124(constB9, 2) <=> b100(2)))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.29 tff(28162,plain,
% 218.73/141.29 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b100(2))) <=> (v124(constB9, 2) <=> b100(2))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28161, 28160])).
% 218.73/141.29 tff(28163,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | (v124(constB9, 2) <=> b100(2)))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[28162])).
% 218.73/141.29 tff(28164,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | (v124(constB9, 2) <=> b100(2)))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28163, 28159])).
% 218.73/141.29 tff(28165,plain,
% 218.73/141.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b100(2)))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28166,plain,
% 218.73/141.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))) | (v124(constB9, 2) <=> b100(2))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28165, 28164])).
% 218.73/141.29 tff(28167,plain,
% 218.73/141.29 (v124(constB9, 2) <=> b100(2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28166, 28158])).
% 218.73/141.29 tff(28168,plain,
% 218.73/141.29 ((~(v124(constB9, 2) <=> b100(2))) | v124(constB9, 2) | (~b100(2))),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28169,plain,
% 218.73/141.29 ((~(v124(constB9, 2) <=> b100(2))) | v124(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28168, 2250])).
% 218.73/141.29 tff(28170,plain,
% 218.73/141.29 (v124(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28169, 28167])).
% 218.73/141.29 tff(28171,plain,
% 218.73/141.29 ((~(v121(constB9, 2) <=> v124(constB9, 2))) | v121(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[22675, 28170])).
% 218.73/141.29 tff(28172,plain,
% 218.73/141.29 (v121(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28171, 22641])).
% 218.73/141.29 tff(28173,plain,
% 218.73/141.29 ($false),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[22690, 28172, 28066])).
% 218.73/141.29 tff(28174,plain,(v84(constB11, 2) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))) | v114(constB11) | v115(constB11) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B))) | v117(constB11) | v118(constB11) | (~(v108(constB11) | v119(constB11)))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.29 tff(28175,plain,
% 218.73/141.29 (v84(constB11, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28174, 28062, 23369, 21361, 20558, 20599, 20612, 27357])).
% 218.73/141.29 tff(28176,plain,
% 218.73/141.29 ((~v84(constB11, 2)) | v84(constB10, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21292, 20926])).
% 218.73/141.29 tff(28177,plain,
% 218.73/141.29 (v84(constB10, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28176, 28175])).
% 218.73/141.29 tff(28178,plain,
% 218.73/141.29 ((~(v84(constB10, 2) <=> v123(constB10, 2))) | (~v84(constB10, 2)) | v123(constB10, 2)),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28179,plain,
% 218.73/141.29 (v123(constB10, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28178, 28177, 28060])).
% 218.73/141.29 tff(28180,plain,
% 218.73/141.29 ((~(v123(constB10, 2) <=> v121(constB9, 2))) | (~v123(constB10, 2)) | v121(constB9, 2)),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28181,plain,
% 218.73/141.29 ((~v123(constB10, 2)) | v121(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28180, 22688])).
% 218.73/141.29 tff(28182,plain,
% 218.73/141.29 (v121(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28181, 28179])).
% 218.73/141.29 tff(28183,assumption,(~(v121(constB9, 2) <=> v124(constB9, 2))), introduced(assumption)).
% 218.73/141.29 tff(28184,plain,
% 218.73/141.29 ($false),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[22640, 20984, 28183])).
% 218.73/141.29 tff(28185,plain,(v121(constB9, 2) <=> v124(constB9, 2)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.29 tff(28186,plain,
% 218.73/141.29 ((~(v121(constB9, 2) <=> v124(constB9, 2))) | (~v121(constB9, 2)) | v124(constB9, 2)),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28187,plain,
% 218.73/141.29 ((~v121(constB9, 2)) | v124(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28186, 28185])).
% 218.73/141.29 tff(28188,plain,
% 218.73/141.29 (v124(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28187, 28182])).
% 218.73/141.29 tff(28189,assumption,(v124(constB9, 2)), introduced(assumption)).
% 218.73/141.29 tff(28190,plain,
% 218.73/141.29 ((~(v124(constB9, 2) <=> b010(2))) | (~v124(constB9, 2)) | b010(2)),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28191,plain,
% 218.73/141.29 (~(v124(constB9, 2) <=> b010(2))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28190, 2485, 28189])).
% 218.73/141.29 tff(28192,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 2) <=> b010(2)))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28193,plain,
% 218.73/141.29 (($false | $false | (v124(constB9, 2) <=> b010(2))) <=> (v124(constB9, 2) <=> b010(2))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28194,plain,
% 218.73/141.29 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b010(2))) <=> ($false | $false | (v124(constB9, 2) <=> b010(2)))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.29 tff(28195,plain,
% 218.73/141.29 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b010(2))) <=> (v124(constB9, 2) <=> b010(2))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28194, 28193])).
% 218.73/141.29 tff(28196,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 2) <=> b010(2)))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[28195])).
% 218.73/141.29 tff(28197,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 2) <=> b010(2)))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28196, 28192])).
% 218.73/141.29 tff(28198,plain,
% 218.73/141.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b010(2)))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28199,plain,
% 218.73/141.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (v124(constB9, 2) <=> b010(2))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28198, 28197])).
% 218.73/141.29 tff(28200,plain,
% 218.73/141.29 ($false),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28199, 21400, 28191])).
% 218.73/141.29 tff(28201,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))) | (~v124(constB9, 2))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.29 tff(28202,plain,
% 218.73/141.29 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b010(B)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28201, 28188])).
% 218.73/141.29 tff(28203,plain,
% 218.73/141.29 (~v114(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21421, 28202])).
% 218.73/141.29 tff(28204,plain,
% 218.73/141.29 (v114(constB9) | (v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20754, 21073])).
% 218.73/141.29 tff(28205,plain,
% 218.73/141.29 (v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28204, 28203])).
% 218.73/141.29 tff(28206,assumption,(~(v84(constB10, 0) <=> v123(constB10, 0))), introduced(assumption)).
% 218.73/141.29 tff(28207,plain,
% 218.73/141.29 ($false),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21056, 21361, 28206])).
% 218.73/141.29 tff(28208,plain,((v84(constB10, 0) <=> v123(constB10, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B))))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.29 tff(28209,plain,
% 218.73/141.29 (v84(constB10, 0) <=> v123(constB10, 0)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28208, 21361])).
% 218.73/141.29 tff(28210,plain,
% 218.73/141.29 (v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21332, 28175])).
% 218.73/141.29 tff(28211,plain,
% 218.73/141.29 (~v116(constB11)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21469, 28210])).
% 218.73/141.29 tff(28212,plain,
% 218.73/141.29 (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20932, 28175])).
% 218.73/141.29 tff(28213,plain,
% 218.73/141.29 (~v113(constB11)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[22726, 28212])).
% 218.73/141.29 tff(28214,plain,
% 218.73/141.29 (~(v113(constB11) | v114(constB11))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[25349, 28213, 28062])).
% 218.73/141.29 tff(28215,plain,
% 218.73/141.29 (~v112(constB11)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[27349, 28214])).
% 218.73/141.29 tff(28216,plain,
% 218.73/141.29 (~(v112(constB11) | v115(constB11))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[25354, 28215, 20558])).
% 218.73/141.29 tff(28217,plain,
% 218.73/141.29 (~v111(constB11)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[25357, 28216])).
% 218.73/141.29 tff(28218,plain,
% 218.73/141.29 (~(v111(constB11) | v116(constB11))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[25359, 28217, 28211])).
% 218.73/141.29 tff(28219,plain,
% 218.73/141.29 (~v110(constB11)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[25362, 28218])).
% 218.73/141.29 tff(28220,plain,
% 218.73/141.29 (~(v110(constB11) | v117(constB11))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[25397, 28219, 20599])).
% 218.73/141.29 tff(28221,plain,
% 218.73/141.29 (~v109(constB11)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[25395, 28220])).
% 218.73/141.29 tff(28222,plain,
% 218.73/141.29 (~(v109(constB11) | v118(constB11))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[25392, 28221, 20612])).
% 218.73/141.29 tff(28223,plain,
% 218.73/141.29 (~v108(constB11)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[25376, 28222])).
% 218.73/141.29 tff(28224,plain,
% 218.73/141.29 (v119(constB11)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[25373, 28223, 27357])).
% 218.73/141.29 tff(28225,plain,
% 218.73/141.29 ((~(v119(constB11) <=> (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))))) | (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1))))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[25370, 28224])).
% 218.73/141.29 tff(28226,plain,
% 218.73/141.29 (~((~v84(constB11, 2)) | v84(constB11, 0) | (~v84(constB11, 1)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28225, 20316])).
% 218.73/141.29 tff(28227,plain,
% 218.73/141.29 (~v84(constB11, 0)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21297, 28226])).
% 218.73/141.29 tff(28228,assumption,(~(v84(constB11, 0) <=> v84(constB10, 0))), introduced(assumption)).
% 218.73/141.29 tff(28229,plain,
% 218.73/141.29 ($false),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20914, 20906, 28228])).
% 218.73/141.29 tff(28230,plain,(v84(constB11, 0) <=> v84(constB10, 0)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.29 tff(28231,plain,
% 218.73/141.29 (v84(constB11, 0) | (~v84(constB10, 0))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20948, 28230])).
% 218.73/141.29 tff(28232,plain,
% 218.73/141.29 (~v84(constB10, 0)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28231, 28227])).
% 218.73/141.29 tff(28233,plain,
% 218.73/141.29 (~v123(constB10, 0)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21020, 28232, 28209])).
% 218.73/141.29 tff(28234,plain,
% 218.73/141.29 (~v121(constB9, 0)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21017, 28233])).
% 218.73/141.29 tff(28235,plain,
% 218.73/141.29 (~v124(constB9, 0)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20996, 28234])).
% 218.73/141.29 tff(28236,plain,
% 218.73/141.29 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b001(B)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21199, 28235])).
% 218.73/141.29 tff(28237,plain,
% 218.73/141.29 (~v113(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21088, 28236])).
% 218.73/141.29 tff(28238,plain,
% 218.73/141.29 (v113(constB9) | (v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20769, 22652])).
% 218.73/141.29 tff(28239,plain,
% 218.73/141.29 (v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28238, 28237])).
% 218.73/141.29 tff(28240,plain,
% 218.73/141.29 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28133, 28124])).
% 218.73/141.29 tff(28241,plain,
% 218.73/141.29 (v123(constB10, 2) <=> v121(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[22686, 21005])).
% 218.73/141.29 tff(28242,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | (v124(constB9, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | (v124(constB9, 2) <=> b011(2)))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28243,plain,
% 218.73/141.29 (($false | $false | (v124(constB9, 2) <=> b011(2))) <=> (v124(constB9, 2) <=> b011(2))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28244,plain,
% 218.73/141.29 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b011(2))) <=> ($false | $false | (v124(constB9, 2) <=> b011(2)))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.29 tff(28245,plain,
% 218.73/141.29 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b011(2))) <=> (v124(constB9, 2) <=> b011(2))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28244, 28243])).
% 218.73/141.29 tff(28246,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | (v124(constB9, 2) <=> b011(2)))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[28245])).
% 218.73/141.29 tff(28247,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | (v124(constB9, 2) <=> b011(2)))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28246, 28242])).
% 218.73/141.29 tff(28248,plain,
% 218.73/141.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB9, 2) <=> b011(2)))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28249,plain,
% 218.73/141.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | (v124(constB9, 2) <=> b011(2))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28248, 28247])).
% 218.73/141.29 tff(28250,plain,
% 218.73/141.29 (v124(constB9, 2) <=> b011(2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28249, 28136])).
% 218.73/141.29 tff(28251,plain,
% 218.73/141.29 ((~(v124(constB9, 2) <=> b011(2))) | (~v124(constB9, 2)) | b011(2)),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28252,plain,
% 218.73/141.29 ((~(v124(constB9, 2) <=> b011(2))) | (~v124(constB9, 2))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28251, 2569])).
% 218.73/141.29 tff(28253,plain,
% 218.73/141.29 (~v124(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28252, 28250])).
% 218.73/141.29 tff(28254,plain,
% 218.73/141.29 ((~(v121(constB9, 2) <=> v124(constB9, 2))) | (~v121(constB9, 2))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28186, 28253])).
% 218.73/141.29 tff(28255,plain,
% 218.73/141.29 (~v121(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28254, 22641])).
% 218.73/141.29 tff(28256,assumption,(v111(constB9) | v116(constB9)), introduced(assumption)).
% 218.73/141.29 tff(28257,plain,
% 218.73/141.29 ((~(v110(constB9) <=> (v111(constB9) | v116(constB9)))) | v110(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20777, 28256])).
% 218.73/141.29 tff(28258,plain,
% 218.73/141.29 (v110(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28257, 20698])).
% 218.73/141.29 tff(28259,plain,
% 218.73/141.29 (v110(constB9) | v117(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20865, 28258])).
% 218.73/141.29 tff(28260,plain,
% 218.73/141.29 (v109(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20862, 28259, 20781])).
% 218.73/141.29 tff(28261,plain,
% 218.73/141.29 (v109(constB9) | v118(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20860, 28260])).
% 218.73/141.29 tff(28262,plain,
% 218.73/141.29 (v108(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20857, 28261, 20783])).
% 218.73/141.29 tff(28263,plain,
% 218.73/141.29 (v108(constB9) | v119(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20855, 28262])).
% 218.73/141.29 tff(28264,plain,
% 218.73/141.29 (v107(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20852, 28263, 20784])).
% 218.73/141.29 tff(28265,plain,
% 218.73/141.29 (~((~v107(constB9)) | (~v120(constB9)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20850, 28264])).
% 218.73/141.29 tff(28266,plain,
% 218.73/141.29 (v106(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20835, 28265])).
% 218.73/141.29 tff(28267,plain,
% 218.73/141.29 (v105(constB9) | v106(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20830, 28266])).
% 218.73/141.29 tff(28268,plain,
% 218.73/141.29 (v102(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20828, 28267])).
% 218.73/141.29 tff(28269,plain,
% 218.73/141.29 (v104(constB10)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20823, 28268])).
% 218.73/141.29 tff(28270,plain,
% 218.73/141.29 (~((~v95(constB10)) | (~v104(constB10)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20820, 28269])).
% 218.73/141.29 tff(28271,plain,
% 218.73/141.29 (v94(constB10)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20786, 28270])).
% 218.73/141.29 tff(28272,plain,
% 218.73/141.29 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21047, 28271])).
% 218.73/141.29 tff(28273,plain,
% 218.73/141.29 (v84(constB10, 2) <=> v123(constB10, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[22611, 28272])).
% 218.73/141.29 tff(28274,plain,
% 218.73/141.29 ((~(v84(constB10, 2) <=> v123(constB10, 2))) | v123(constB10, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28178, 20869])).
% 218.73/141.29 tff(28275,plain,
% 218.73/141.29 (v123(constB10, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28274, 28273])).
% 218.73/141.29 tff(28276,plain,
% 218.73/141.29 ((~(v123(constB10, 2) <=> v121(constB9, 2))) | v121(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28180, 28275])).
% 218.73/141.29 tff(28277,plain,
% 218.73/141.29 ($false),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28276, 28255, 28241])).
% 218.73/141.29 tff(28278,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b011(B)))) | (~v84(constB10, 2)) | (~(v111(constB9) | v116(constB9)))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.29 tff(28279,plain,
% 218.73/141.29 (~(v111(constB9) | v116(constB9))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28278, 28240, 20869])).
% 218.73/141.29 tff(28280,plain,
% 218.73/141.29 (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20943, 28124])).
% 218.73/141.29 tff(28281,plain,
% 218.73/141.29 (~v84(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20937, 28280])).
% 218.73/141.29 tff(28282,plain,
% 218.73/141.29 ($false),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20775, 28281, 28279])).
% 218.73/141.29 tff(28283,plain,((~v115(constB9)) | (~v84(constB10, 2))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.29 tff(28284,plain,
% 218.73/141.29 (~v115(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28283, 28177])).
% 218.73/141.29 tff(28285,plain,
% 218.73/141.29 (v115(constB9) | ((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20730, 20941])).
% 218.73/141.29 tff(28286,plain,
% 218.73/141.29 ((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28285, 28284])).
% 218.73/141.29 tff(28287,plain,
% 218.73/141.29 (v84(constB11, 1)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21304, 28226])).
% 218.73/141.29 tff(28288,plain,
% 218.73/141.29 (v84(constB10, 1)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21355, 28287])).
% 218.73/141.29 tff(28289,plain,
% 218.73/141.29 (v123(constB10, 1)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21363, 28288, 21361])).
% 218.73/141.29 tff(28290,plain,
% 218.73/141.29 (v121(constB9, 1)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21366, 28289])).
% 218.73/141.29 tff(28291,plain,
% 218.73/141.29 (v124(constB9, 1)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21369, 28290])).
% 218.73/141.29 tff(28292,plain,
% 218.73/141.29 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB9, B) <=> b100(B)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21384, 28291])).
% 218.73/141.29 tff(28293,plain,
% 218.73/141.29 (~v116(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[21395, 28292])).
% 218.73/141.29 tff(28294,plain,
% 218.73/141.29 (v116(constB9) | ((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20742, 21064])).
% 218.73/141.29 tff(28295,plain,
% 218.73/141.29 ((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28294, 28293])).
% 218.73/141.29 tff(28296,plain,
% 218.73/141.29 (v84(constB9, 1)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20771, 20732, 21216, 21321])).
% 218.73/141.29 tff(28297,plain,
% 218.73/141.29 ($false),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20773, 28296, 20732, 22594, 21321])).
% 218.73/141.29 tff(28298,plain,(v84(constB9, 2) | (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))) | v84(constB9, 0) | (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.29 tff(28299,plain,
% 218.73/141.29 (v84(constB9, 0)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28298, 20732, 22594, 21216])).
% 218.73/141.29 tff(28300,plain,
% 218.73/141.29 ($false),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[20763, 28299, 20732, 20758, 20756])).
% 218.73/141.29 tff(28301,plain,(v84(constB9, 2) | (~(v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0)))) | (~((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0)))) | (~((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0))) | (~(v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.29 tff(28302,plain,
% 218.73/141.29 (v84(constB9, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28301, 28295, 28286, 28239, 28205])).
% 218.73/141.29 tff(28303,assumption,(~(v84(constB9, 2) <=> v84(constB8, 2))), introduced(assumption)).
% 218.73/141.29 tff(28304,plain,
% 218.73/141.29 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28305,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8')).
% 218.73/141.29 tff(28306,plain,
% 218.73/141.29 (nextState(constB8, constB9)),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28305, 28304])).
% 218.73/141.29 tff(28307,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9))))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28308,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9))))))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28309,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9)))))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28308, 28307])).
% 218.73/141.29 tff(28310,plain,
% 218.73/141.29 (v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9))))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28309, 28306, 14])).
% 218.73/141.29 tff(28311,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28312,plain,
% 218.73/141.29 (((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9)))))) <=> ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28313,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[28312])).
% 218.73/141.29 tff(28314,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28313, 28311])).
% 218.73/141.29 tff(28315,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9))))))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28316,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28315, 28314])).
% 218.73/141.29 tff(28317,plain,
% 218.73/141.29 (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28316, 28306, 37])).
% 218.73/141.29 tff(28318,plain,
% 218.73/141.29 (((~v1(constB9)) | (~v96(constB9))) | v1(constB9)),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28319,plain,
% 218.73/141.29 ((~v1(constB9)) | (~v96(constB9))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28318, 20805])).
% 218.73/141.29 tff(28320,plain,
% 218.73/141.29 ((~(v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))) | (~v95(constB9)) | (~((~v1(constB9)) | (~v96(constB9))))),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28321,plain,
% 218.73/141.29 ((~(v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))) | (~v95(constB9))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28320, 28319])).
% 218.73/141.29 tff(28322,plain,
% 218.73/141.29 (~v95(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28321, 28317])).
% 218.73/141.29 tff(28323,plain,
% 218.73/141.29 (((~v95(constB9)) | (~v104(constB9))) | v95(constB9)),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28324,plain,
% 218.73/141.29 ((~v95(constB9)) | (~v104(constB9))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28323, 28322])).
% 218.73/141.29 tff(28325,plain,
% 218.73/141.29 ((~(v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9)))))) | (~v94(constB9)) | (~((~v95(constB9)) | (~v104(constB9))))),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28326,plain,
% 218.73/141.29 (~v94(constB9)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28325, 28324, 28310])).
% 218.73/141.29 tff(28327,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB9) | (~nextState(constB8, constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB9) | (~nextState(constB8, constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28328,plain,
% 218.73/141.29 ((v94(constB9) | (~nextState(constB8, constB9)) | ![B: $int] : ((v84(constB9, B) <=> v84(constB8, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB9) | (~nextState(constB8, constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28329,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB9) | (~nextState(constB8, constB9)) | ![B: $int] : ((v84(constB9, B) <=> v84(constB8, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB9) | (~nextState(constB8, constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[28328])).
% 218.73/141.29 tff(28330,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB9) | (~nextState(constB8, constB9)) | ![B: $int] : ((v84(constB9, B) <=> v84(constB8, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB9) | (~nextState(constB8, constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B))))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28329, 28327])).
% 218.73/141.29 tff(28331,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB9) | (~nextState(constB8, constB9)) | ![B: $int] : ((v84(constB9, B) <=> v84(constB8, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28332,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB9) | (~nextState(constB8, constB9)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28331, 28330])).
% 218.73/141.29 tff(28333,plain,
% 218.73/141.29 (v94(constB9) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28332, 28306, 235])).
% 218.73/141.29 tff(28334,plain,
% 218.73/141.29 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28333, 28326])).
% 218.73/141.29 tff(28335,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 2) <=> v84(constB8, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 2) <=> v84(constB8, 2)))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28336,plain,
% 218.73/141.29 (($false | $false | (v84(constB9, 2) <=> v84(constB8, 2))) <=> (v84(constB9, 2) <=> v84(constB8, 2))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28337,plain,
% 218.73/141.29 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB9, 2) <=> v84(constB8, 2))) <=> ($false | $false | (v84(constB9, 2) <=> v84(constB8, 2)))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.29 tff(28338,plain,
% 218.73/141.29 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB9, 2) <=> v84(constB8, 2))) <=> (v84(constB9, 2) <=> v84(constB8, 2))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28337, 28336])).
% 218.73/141.29 tff(28339,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB9, 2) <=> v84(constB8, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 2) <=> v84(constB8, 2)))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[28338])).
% 218.73/141.29 tff(28340,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB9, 2) <=> v84(constB8, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 2) <=> v84(constB8, 2)))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28339, 28335])).
% 218.73/141.29 tff(28341,plain,
% 218.73/141.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB9, 2) <=> v84(constB8, 2)))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28342,plain,
% 218.73/141.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 2) <=> v84(constB8, 2))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28341, 28340])).
% 218.73/141.29 tff(28343,plain,
% 218.73/141.29 ($false),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28342, 28334, 28303])).
% 218.73/141.29 tff(28344,plain,(v84(constB9, 2) <=> v84(constB8, 2)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.29 tff(28345,plain,
% 218.73/141.29 ((~(v84(constB9, 2) <=> v84(constB8, 2))) | (~v84(constB9, 2)) | v84(constB8, 2)),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28346,plain,
% 218.73/141.29 ((~v84(constB9, 2)) | v84(constB8, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28345, 28344])).
% 218.73/141.29 tff(28347,plain,
% 218.73/141.29 (v84(constB8, 2)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28346, 28302])).
% 218.73/141.29 tff(28348,assumption,(~(v123(constB4, 0) <=> v121(constB3, 0))), introduced(assumption)).
% 218.73/141.29 tff(28349,plain,
% 218.73/141.29 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28350,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3')).
% 218.73/141.29 tff(28351,plain,
% 218.73/141.29 (nextState(constB3, constB4)),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28350, 28349])).
% 218.73/141.29 tff(28352,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB3, constB4)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB3, constB4)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28353,plain,
% 218.73/141.29 (((~nextState(constB3, constB4)) | ![B: $int] : ((v123(constB4, B) <=> v121(constB3, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB3, constB4)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28354,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB3, constB4)) | ![B: $int] : ((v123(constB4, B) <=> v121(constB3, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB3, constB4)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B)))))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[28353])).
% 218.73/141.29 tff(28355,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB3, constB4)) | ![B: $int] : ((v123(constB4, B) <=> v121(constB3, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB3, constB4)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B))))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28354, 28352])).
% 218.73/141.29 tff(28356,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB3, constB4)) | ![B: $int] : ((v123(constB4, B) <=> v121(constB3, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28357,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB3, constB4)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B)))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28356, 28355])).
% 218.73/141.29 tff(28358,plain,
% 218.73/141.29 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B)))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28357, 28351, 1527])).
% 218.73/141.29 tff(28359,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B)))) | (v123(constB4, 0) <=> v121(constB3, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B)))) | (v123(constB4, 0) <=> v121(constB3, 0)))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28360,plain,
% 218.73/141.29 (($false | $false | (v123(constB4, 0) <=> v121(constB3, 0))) <=> (v123(constB4, 0) <=> v121(constB3, 0))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28361,plain,
% 218.73/141.29 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB4, 0) <=> v121(constB3, 0))) <=> ($false | $false | (v123(constB4, 0) <=> v121(constB3, 0)))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.29 tff(28362,plain,
% 218.73/141.29 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB4, 0) <=> v121(constB3, 0))) <=> (v123(constB4, 0) <=> v121(constB3, 0))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28361, 28360])).
% 218.73/141.29 tff(28363,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB4, 0) <=> v121(constB3, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B)))) | (v123(constB4, 0) <=> v121(constB3, 0)))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[28362])).
% 218.73/141.29 tff(28364,plain,
% 218.73/141.29 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB4, 0) <=> v121(constB3, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B)))) | (v123(constB4, 0) <=> v121(constB3, 0)))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28363, 28359])).
% 218.73/141.29 tff(28365,plain,
% 218.73/141.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB4, 0) <=> v121(constB3, 0)))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28366,plain,
% 218.73/141.29 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB4, B) <=> v121(constB3, B)))) | (v123(constB4, 0) <=> v121(constB3, 0))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28365, 28364])).
% 218.73/141.29 tff(28367,plain,
% 218.73/141.29 ($false),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28366, 28358, 28348])).
% 218.73/141.29 tff(28368,plain,(v123(constB4, 0) <=> v121(constB3, 0)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.29 tff(28369,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))), introduced(assumption)).
% 218.73/141.29 tff(28370,plain,
% 218.73/141.29 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB3) <=> (~(v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB3) <=> (~(v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0))))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28371,plain,
% 218.73/141.29 ((v114(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 2) | (~v84(constB3, 0))))) <=> (v114(constB3) <=> (~(v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0)))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28372,plain,
% 218.73/141.29 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 2) | (~v84(constB3, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB3) <=> (~(v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0))))))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[28371])).
% 218.73/141.29 tff(28373,plain,
% 218.73/141.29 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 2) | (~v84(constB3, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB3) <=> (~(v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0))))))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28372, 28370])).
% 218.73/141.29 tff(28374,plain,
% 218.73/141.29 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 2) | (~v84(constB3, 0)))))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28375,plain,
% 218.73/141.29 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB3) <=> (~(v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0)))))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28374, 28373])).
% 218.73/141.29 tff(28376,plain,
% 218.73/141.29 (v114(constB3) <=> (~(v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0))))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28375, 298])).
% 218.73/141.29 tff(28377,plain,
% 218.73/141.29 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28378,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2')).
% 218.73/141.29 tff(28379,plain,
% 218.73/141.29 (nextState(constB2, constB3)),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28378, 28377])).
% 218.73/141.29 tff(28380,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3))))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28381,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3))))))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28382,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3)))))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28381, 28380])).
% 218.73/141.29 tff(28383,plain,
% 218.73/141.29 (v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3))))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28382, 28379, 14])).
% 218.73/141.29 tff(28384,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28385,plain,
% 218.73/141.29 (((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3)))))) <=> ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28386,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))))),
% 218.73/141.29 inference(monotonicity,[status(thm)],[28385])).
% 218.73/141.29 tff(28387,plain,
% 218.73/141.29 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))),
% 218.73/141.29 inference(transitivity,[status(thm)],[28386, 28384])).
% 218.73/141.29 tff(28388,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3))))))),
% 218.73/141.29 inference(quant_inst,[status(thm)],[])).
% 218.73/141.29 tff(28389,plain,
% 218.73/141.29 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28388, 28387])).
% 218.73/141.29 tff(28390,plain,
% 218.73/141.29 (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28389, 28379, 37])).
% 218.73/141.29 tff(28391,plain,
% 218.73/141.29 ((~v1(constB3)) <=> (~v1(constB3))),
% 218.73/141.29 inference(rewrite,[status(thm)],[])).
% 218.73/141.29 tff(28392,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3')).
% 218.73/141.29 tff(28393,plain,
% 218.73/141.29 (~v1(constB3)),
% 218.73/141.29 inference(modus_ponens,[status(thm)],[28392, 28391])).
% 218.73/141.29 tff(28394,plain,
% 218.73/141.29 (((~v1(constB3)) | (~v96(constB3))) | v1(constB3)),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28395,plain,
% 218.73/141.29 ((~v1(constB3)) | (~v96(constB3))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28394, 28393])).
% 218.73/141.29 tff(28396,plain,
% 218.73/141.29 ((~(v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))) | (~v95(constB3)) | (~((~v1(constB3)) | (~v96(constB3))))),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28397,plain,
% 218.73/141.29 ((~(v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))) | (~v95(constB3))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28396, 28395])).
% 218.73/141.29 tff(28398,plain,
% 218.73/141.29 (~v95(constB3)),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28397, 28390])).
% 218.73/141.29 tff(28399,plain,
% 218.73/141.29 (((~v95(constB3)) | (~v104(constB3))) | v95(constB3)),
% 218.73/141.29 inference(tautology,[status(thm)],[])).
% 218.73/141.29 tff(28400,plain,
% 218.73/141.29 ((~v95(constB3)) | (~v104(constB3))),
% 218.73/141.29 inference(unit_resolution,[status(thm)],[28399, 28398])).
% 218.73/141.29 tff(28401,plain,
% 218.73/141.29 ((~(v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3)))))) | (~v94(constB3)) | (~((~v95(constB3)) | (~v104(constB3))))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28402,plain,
% 218.73/141.30 (~v94(constB3)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28401, 28400, 28383])).
% 218.73/141.30 tff(28403,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB3) | (~nextState(constB2, constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB3) | (~nextState(constB2, constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B))))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28404,plain,
% 218.73/141.30 ((v94(constB3) | (~nextState(constB2, constB3)) | ![B: $int] : ((v84(constB3, B) <=> v84(constB2, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB3) | (~nextState(constB2, constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B))))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28405,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB3) | (~nextState(constB2, constB3)) | ![B: $int] : ((v84(constB3, B) <=> v84(constB2, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB3) | (~nextState(constB2, constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[28404])).
% 218.73/141.30 tff(28406,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB3) | (~nextState(constB2, constB3)) | ![B: $int] : ((v84(constB3, B) <=> v84(constB2, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB3) | (~nextState(constB2, constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B))))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28405, 28403])).
% 218.73/141.30 tff(28407,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB3) | (~nextState(constB2, constB3)) | ![B: $int] : ((v84(constB3, B) <=> v84(constB2, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28408,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB3) | (~nextState(constB2, constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 218.73/141.30 tff(28409,plain,
% 218.73/141.30 (v94(constB3) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28408, 28379, 235])).
% 218.73/141.30 tff(28410,plain,
% 218.73/141.30 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28409, 28402])).
% 218.73/141.30 tff(28411,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 0) <=> v84(constB2, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 0) <=> v84(constB2, 0)))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28412,plain,
% 218.73/141.30 (($false | $false | (v84(constB3, 0) <=> v84(constB2, 0))) <=> (v84(constB3, 0) <=> v84(constB2, 0))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28413,plain,
% 218.73/141.30 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB3, 0) <=> v84(constB2, 0))) <=> ($false | $false | (v84(constB3, 0) <=> v84(constB2, 0)))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.30 tff(28414,plain,
% 218.73/141.30 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB3, 0) <=> v84(constB2, 0))) <=> (v84(constB3, 0) <=> v84(constB2, 0))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28413, 28412])).
% 218.73/141.30 tff(28415,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB3, 0) <=> v84(constB2, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 0) <=> v84(constB2, 0)))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[28414])).
% 218.73/141.30 tff(28416,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB3, 0) <=> v84(constB2, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 0) <=> v84(constB2, 0)))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28415, 28411])).
% 218.73/141.30 tff(28417,plain,
% 218.73/141.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB3, 0) <=> v84(constB2, 0)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28418,plain,
% 218.73/141.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 0) <=> v84(constB2, 0))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28417, 28416])).
% 218.73/141.30 tff(28419,plain,
% 218.73/141.30 (v84(constB3, 0) <=> v84(constB2, 0)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28418, 28410])).
% 218.73/141.30 tff(28420,plain,
% 218.73/141.30 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28421,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1')).
% 218.73/141.30 tff(28422,plain,
% 218.73/141.30 (nextState(constB1, constB2)),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28421, 28420])).
% 218.73/141.30 tff(28423,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2))))))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28424,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2))))))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28425,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2)))))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28424, 28423])).
% 218.73/141.30 tff(28426,plain,
% 218.73/141.30 (v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2))))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28425, 28422, 14])).
% 218.73/141.30 tff(28427,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28428,plain,
% 218.73/141.30 (((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2)))))) <=> ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28429,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2)))))))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[28428])).
% 218.73/141.30 tff(28430,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28429, 28427])).
% 218.73/141.30 tff(28431,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2))))))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28432,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2)))))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28431, 28430])).
% 218.73/141.30 tff(28433,plain,
% 218.73/141.30 (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28432, 28422, 37])).
% 218.73/141.30 tff(28434,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2)))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28435,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28436,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28435, 28434])).
% 218.73/141.30 tff(28437,plain,
% 218.73/141.30 ((~v96(constB2)) <=> v98(constB2)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28436, 28422, 54])).
% 218.73/141.30 tff(28438,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1)))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28439,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28440,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28439, 28438])).
% 218.73/141.30 tff(28441,plain,
% 218.73/141.30 (v98(constB2) <=> v1(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28440, 28422, 68])).
% 218.73/141.30 tff(28442,plain,
% 218.73/141.30 ((~v1(constB1)) <=> (~v1(constB1))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28443,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1')).
% 218.73/141.30 tff(28444,plain,
% 218.73/141.30 (~v1(constB1)),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28443, 28442])).
% 218.73/141.30 tff(28445,plain,
% 218.73/141.30 ((~(v98(constB2) <=> v1(constB1))) | (~v98(constB2)) | v1(constB1)),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28446,plain,
% 218.73/141.30 ((~(v98(constB2) <=> v1(constB1))) | (~v98(constB2))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28445, 28444])).
% 218.73/141.30 tff(28447,plain,
% 218.73/141.30 (~v98(constB2)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28446, 28441])).
% 218.73/141.30 tff(28448,plain,
% 218.73/141.30 ((~((~v96(constB2)) <=> v98(constB2))) | v96(constB2) | v98(constB2)),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28449,plain,
% 218.73/141.30 (v96(constB2)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28448, 28447, 28437])).
% 218.73/141.30 tff(28450,plain,
% 218.73/141.30 (v1(constB2) <=> v1(constB2)),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28451,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2')).
% 218.73/141.30 tff(28452,plain,
% 218.73/141.30 (v1(constB2)),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28451, 28450])).
% 218.73/141.30 tff(28453,plain,
% 218.73/141.30 ((~((~v1(constB2)) | (~v96(constB2)))) | (~v1(constB2)) | (~v96(constB2))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28454,plain,
% 218.73/141.30 ((~((~v1(constB2)) | (~v96(constB2)))) | (~v96(constB2))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28453, 28452])).
% 218.73/141.30 tff(28455,plain,
% 218.73/141.30 (~((~v1(constB2)) | (~v96(constB2)))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28454, 28449])).
% 218.73/141.30 tff(28456,plain,
% 218.73/141.30 ((~(v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2)))))) | v95(constB2) | ((~v1(constB2)) | (~v96(constB2)))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28457,plain,
% 218.73/141.30 (v95(constB2)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28456, 28455, 28433])).
% 218.73/141.30 tff(28458,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1)))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28459,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28460,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28459, 28458])).
% 218.73/141.30 tff(28461,plain,
% 218.73/141.30 (v104(constB2) <=> v102(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28460, 28422, 101])).
% 218.73/141.30 tff(28462,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB1) <=> (v105(constB1) | v106(constB1)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28463,plain,
% 218.73/141.30 (v102(constB1) <=> (v105(constB1) | v106(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28462, 115])).
% 218.73/141.30 tff(28464,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB1) <=> (~((~v107(constB1)) | (~v120(constB1)))))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28465,plain,
% 218.73/141.30 (v106(constB1) <=> (~((~v107(constB1)) | (~v120(constB1))))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28464, 132])).
% 218.73/141.30 tff(28466,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB1) <=> (v108(constB1) | v119(constB1)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28467,plain,
% 218.73/141.30 (v107(constB1) <=> (v108(constB1) | v119(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28466, 187])).
% 218.73/141.30 tff(28468,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB1) <=> (v109(constB1) | v118(constB1)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28469,plain,
% 218.73/141.30 (v108(constB1) <=> (v109(constB1) | v118(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28468, 428])).
% 218.73/141.30 tff(28470,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB1) <=> (v110(constB1) | v117(constB1)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28471,plain,
% 218.73/141.30 (v109(constB1) <=> (v110(constB1) | v117(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28470, 456])).
% 218.73/141.30 tff(28472,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB1) <=> (v111(constB1) | v116(constB1)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28473,plain,
% 218.73/141.30 (v110(constB1) <=> (v111(constB1) | v116(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28472, 265])).
% 218.73/141.30 tff(28474,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB1) <=> (v112(constB1) | v115(constB1)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28475,plain,
% 218.73/141.30 (v111(constB1) <=> (v112(constB1) | v115(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28474, 274])).
% 218.73/141.30 tff(28476,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB1) <=> (v113(constB1) | v114(constB1)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28477,plain,
% 218.73/141.30 (v112(constB1) <=> (v113(constB1) | v114(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28476, 283])).
% 218.73/141.30 tff(28478,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB1) <=> (~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28479,plain,
% 218.73/141.30 (v113(constB1) <=> (~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2)))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28478, 597])).
% 218.73/141.30 tff(28480,plain,
% 218.73/141.30 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28481,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom')).
% 218.73/141.30 tff(28482,plain,
% 218.73/141.30 (nextState(constB0, constB1)),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28481, 28480])).
% 218.73/141.30 tff(28483,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1))))))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28484,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1))))))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28485,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1)))))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28484, 28483])).
% 218.73/141.30 tff(28486,plain,
% 218.73/141.30 (v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1))))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28485, 28482, 14])).
% 218.73/141.30 tff(28487,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28488,plain,
% 218.73/141.30 (((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1)))))) <=> ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28489,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[28488])).
% 218.73/141.30 tff(28490,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28489, 28487])).
% 218.73/141.30 tff(28491,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1))))))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28492,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28491, 28490])).
% 218.73/141.30 tff(28493,plain,
% 218.73/141.30 (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28492, 28482, 37])).
% 218.73/141.30 tff(28494,plain,
% 218.73/141.30 (((~v1(constB1)) | (~v96(constB1))) | v1(constB1)),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28495,plain,
% 218.73/141.30 ((~v1(constB1)) | (~v96(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28494, 28444])).
% 218.73/141.30 tff(28496,plain,
% 218.73/141.30 ((~(v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))) | (~v95(constB1)) | (~((~v1(constB1)) | (~v96(constB1))))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28497,plain,
% 218.73/141.30 ((~(v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))) | (~v95(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28496, 28495])).
% 218.73/141.30 tff(28498,plain,
% 218.73/141.30 (~v95(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28497, 28493])).
% 218.73/141.30 tff(28499,plain,
% 218.73/141.30 (((~v95(constB1)) | (~v104(constB1))) | v95(constB1)),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28500,plain,
% 218.73/141.30 ((~v95(constB1)) | (~v104(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28499, 28498])).
% 218.73/141.30 tff(28501,plain,
% 218.73/141.30 ((~(v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1)))))) | (~v94(constB1)) | (~((~v95(constB1)) | (~v104(constB1))))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28502,plain,
% 218.73/141.30 (~v94(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28501, 28500, 28486])).
% 218.73/141.30 tff(28503,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB1) | (~nextState(constB0, constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB1) | (~nextState(constB0, constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B))))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28504,plain,
% 218.73/141.30 ((v94(constB1) | (~nextState(constB0, constB1)) | ![B: $int] : ((v84(constB1, B) <=> v84(constB0, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB1) | (~nextState(constB0, constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B))))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28505,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB1) | (~nextState(constB0, constB1)) | ![B: $int] : ((v84(constB1, B) <=> v84(constB0, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB1) | (~nextState(constB0, constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[28504])).
% 218.73/141.30 tff(28506,plain,
% 218.73/141.30 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB1) | (~nextState(constB0, constB1)) | ![B: $int] : ((v84(constB1, B) <=> v84(constB0, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB1) | (~nextState(constB0, constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B))))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28505, 28503])).
% 218.73/141.30 tff(28507,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB1) | (~nextState(constB0, constB1)) | ![B: $int] : ((v84(constB1, B) <=> v84(constB0, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28508,plain,
% 218.73/141.30 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB1) | (~nextState(constB0, constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28507, 28506])).
% 218.73/141.30 tff(28509,plain,
% 218.73/141.30 (v94(constB1) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28508, 28482, 235])).
% 218.73/141.30 tff(28510,plain,
% 218.73/141.30 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28509, 28502])).
% 218.73/141.30 tff(28511,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 0) <=> v84(constB0, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 0) <=> v84(constB0, 0)))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28512,plain,
% 218.73/141.30 (($false | $false | (v84(constB1, 0) <=> v84(constB0, 0))) <=> (v84(constB1, 0) <=> v84(constB0, 0))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28513,plain,
% 218.73/141.30 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB1, 0) <=> v84(constB0, 0))) <=> ($false | $false | (v84(constB1, 0) <=> v84(constB0, 0)))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.30 tff(28514,plain,
% 218.73/141.30 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB1, 0) <=> v84(constB0, 0))) <=> (v84(constB1, 0) <=> v84(constB0, 0))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28513, 28512])).
% 218.73/141.30 tff(28515,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB1, 0) <=> v84(constB0, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 0) <=> v84(constB0, 0)))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[28514])).
% 218.73/141.30 tff(28516,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB1, 0) <=> v84(constB0, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 0) <=> v84(constB0, 0)))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28515, 28511])).
% 218.73/141.30 tff(28517,plain,
% 218.73/141.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB1, 0) <=> v84(constB0, 0)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28518,plain,
% 218.73/141.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 0) <=> v84(constB0, 0))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28517, 28516])).
% 218.73/141.30 tff(28519,plain,
% 218.73/141.30 (v84(constB1, 0) <=> v84(constB0, 0)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28518, 28510])).
% 218.73/141.30 tff(28520,plain,
% 218.73/141.30 ((~v84(constB0, 0)) <=> (~v84(constB0, 0))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28521,axiom,(~v84(constB0, 0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2')).
% 218.73/141.30 tff(28522,plain,
% 218.73/141.30 (~v84(constB0, 0)),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28521, 28520])).
% 218.73/141.30 tff(28523,plain,
% 218.73/141.30 ((~(v84(constB1, 0) <=> v84(constB0, 0))) | (~v84(constB1, 0)) | v84(constB0, 0)),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28524,plain,
% 218.73/141.30 ((~(v84(constB1, 0) <=> v84(constB0, 0))) | (~v84(constB1, 0))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28523, 28522])).
% 218.73/141.30 tff(28525,plain,
% 218.73/141.30 (~v84(constB1, 0)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28524, 28519])).
% 218.73/141.30 tff(28526,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 1) <=> v84(constB0, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 1) <=> v84(constB0, 1)))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28527,plain,
% 218.73/141.30 (($false | $false | (v84(constB1, 1) <=> v84(constB0, 1))) <=> (v84(constB1, 1) <=> v84(constB0, 1))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28528,plain,
% 218.73/141.30 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB1, 1) <=> v84(constB0, 1))) <=> ($false | $false | (v84(constB1, 1) <=> v84(constB0, 1)))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.30 tff(28529,plain,
% 218.73/141.30 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB1, 1) <=> v84(constB0, 1))) <=> (v84(constB1, 1) <=> v84(constB0, 1))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28528, 28527])).
% 218.73/141.30 tff(28530,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB1, 1) <=> v84(constB0, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 1) <=> v84(constB0, 1)))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[28529])).
% 218.73/141.30 tff(28531,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB1, 1) <=> v84(constB0, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 1) <=> v84(constB0, 1)))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28530, 28526])).
% 218.73/141.30 tff(28532,plain,
% 218.73/141.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB1, 1) <=> v84(constB0, 1)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28533,plain,
% 218.73/141.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 1) <=> v84(constB0, 1))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28532, 28531])).
% 218.73/141.30 tff(28534,plain,
% 218.73/141.30 (v84(constB1, 1) <=> v84(constB0, 1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28533, 28510])).
% 218.73/141.30 tff(28535,plain,
% 218.73/141.30 ((~v84(constB0, 1)) <=> (~v84(constB0, 1))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28536,axiom,(~v84(constB0, 1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3')).
% 218.73/141.30 tff(28537,plain,
% 218.73/141.30 (~v84(constB0, 1)),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28536, 28535])).
% 218.73/141.30 tff(28538,plain,
% 218.73/141.30 ((~(v84(constB1, 1) <=> v84(constB0, 1))) | (~v84(constB1, 1)) | v84(constB0, 1)),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28539,plain,
% 218.73/141.30 ((~(v84(constB1, 1) <=> v84(constB0, 1))) | (~v84(constB1, 1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28538, 28537])).
% 218.73/141.30 tff(28540,plain,
% 218.73/141.30 (~v84(constB1, 1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28539, 28534])).
% 218.73/141.30 tff(28541,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 2) <=> v84(constB0, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 2) <=> v84(constB0, 2)))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28542,plain,
% 218.73/141.30 (($false | $false | (v84(constB1, 2) <=> v84(constB0, 2))) <=> (v84(constB1, 2) <=> v84(constB0, 2))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28543,plain,
% 218.73/141.30 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB1, 2) <=> v84(constB0, 2))) <=> ($false | $false | (v84(constB1, 2) <=> v84(constB0, 2)))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.30 tff(28544,plain,
% 218.73/141.30 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB1, 2) <=> v84(constB0, 2))) <=> (v84(constB1, 2) <=> v84(constB0, 2))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28543, 28542])).
% 218.73/141.30 tff(28545,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB1, 2) <=> v84(constB0, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 2) <=> v84(constB0, 2)))),
% 218.73/141.30 inference(monotonicity,[status(thm)],[28544])).
% 218.73/141.30 tff(28546,plain,
% 218.73/141.30 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB1, 2) <=> v84(constB0, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 2) <=> v84(constB0, 2)))),
% 218.73/141.30 inference(transitivity,[status(thm)],[28545, 28541])).
% 218.73/141.30 tff(28547,plain,
% 218.73/141.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB1, 2) <=> v84(constB0, 2)))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28548,plain,
% 218.73/141.30 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB1, B) <=> v84(constB0, B)))) | (v84(constB1, 2) <=> v84(constB0, 2))),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28547, 28546])).
% 218.73/141.30 tff(28549,plain,
% 218.73/141.30 (v84(constB1, 2) <=> v84(constB0, 2)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28548, 28510])).
% 218.73/141.30 tff(28550,plain,
% 218.73/141.30 ((~v84(constB0, 2)) <=> (~v84(constB0, 2))),
% 218.73/141.30 inference(rewrite,[status(thm)],[])).
% 218.73/141.30 tff(28551,axiom,(~v84(constB0, 2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4')).
% 218.73/141.30 tff(28552,plain,
% 218.73/141.30 (~v84(constB0, 2)),
% 218.73/141.30 inference(modus_ponens,[status(thm)],[28551, 28550])).
% 218.73/141.30 tff(28553,plain,
% 218.73/141.30 ((~(v84(constB1, 2) <=> v84(constB0, 2))) | (~v84(constB1, 2)) | v84(constB0, 2)),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28554,plain,
% 218.73/141.30 ((~(v84(constB1, 2) <=> v84(constB0, 2))) | (~v84(constB1, 2))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28553, 28552])).
% 218.73/141.30 tff(28555,plain,
% 218.73/141.30 (~v84(constB1, 2)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28554, 28549])).
% 218.73/141.30 tff(28556,plain,
% 218.73/141.30 ((~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))) | v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2)),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28557,plain,
% 218.73/141.30 (~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28556, 28555, 28540, 28525])).
% 218.73/141.30 tff(28558,plain,
% 218.73/141.30 ((~(v113(constB1) <=> (~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))))) | v113(constB1) | (v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28559,plain,
% 218.73/141.30 ((~(v113(constB1) <=> (~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))))) | v113(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28558, 28557])).
% 218.73/141.30 tff(28560,plain,
% 218.73/141.30 (v113(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28559, 28479])).
% 218.73/141.30 tff(28561,plain,
% 218.73/141.30 ((v113(constB1) | v114(constB1)) | (~v113(constB1))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28562,plain,
% 218.73/141.30 (v113(constB1) | v114(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28561, 28560])).
% 218.73/141.30 tff(28563,plain,
% 218.73/141.30 ((~(v112(constB1) <=> (v113(constB1) | v114(constB1)))) | v112(constB1) | (~(v113(constB1) | v114(constB1)))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28564,plain,
% 218.73/141.30 ((~(v112(constB1) <=> (v113(constB1) | v114(constB1)))) | v112(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28563, 28562])).
% 218.73/141.30 tff(28565,plain,
% 218.73/141.30 (v112(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28564, 28477])).
% 218.73/141.30 tff(28566,plain,
% 218.73/141.30 ((v112(constB1) | v115(constB1)) | (~v112(constB1))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28567,plain,
% 218.73/141.30 (v112(constB1) | v115(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28566, 28565])).
% 218.73/141.30 tff(28568,plain,
% 218.73/141.30 ((~(v111(constB1) <=> (v112(constB1) | v115(constB1)))) | v111(constB1) | (~(v112(constB1) | v115(constB1)))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28569,plain,
% 218.73/141.30 (v111(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28568, 28567, 28475])).
% 218.73/141.30 tff(28570,plain,
% 218.73/141.30 ((v111(constB1) | v116(constB1)) | (~v111(constB1))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28571,plain,
% 218.73/141.30 (v111(constB1) | v116(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28570, 28569])).
% 218.73/141.30 tff(28572,plain,
% 218.73/141.30 ((~(v110(constB1) <=> (v111(constB1) | v116(constB1)))) | v110(constB1) | (~(v111(constB1) | v116(constB1)))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28573,plain,
% 218.73/141.30 (v110(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28572, 28571, 28473])).
% 218.73/141.30 tff(28574,plain,
% 218.73/141.30 ((v110(constB1) | v117(constB1)) | (~v110(constB1))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28575,plain,
% 218.73/141.30 (v110(constB1) | v117(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28574, 28573])).
% 218.73/141.30 tff(28576,plain,
% 218.73/141.30 ((~(v109(constB1) <=> (v110(constB1) | v117(constB1)))) | v109(constB1) | (~(v110(constB1) | v117(constB1)))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28577,plain,
% 218.73/141.30 (v109(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28576, 28575, 28471])).
% 218.73/141.30 tff(28578,plain,
% 218.73/141.30 ((v109(constB1) | v118(constB1)) | (~v109(constB1))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28579,plain,
% 218.73/141.30 (v109(constB1) | v118(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28578, 28577])).
% 218.73/141.30 tff(28580,plain,
% 218.73/141.30 ((~(v108(constB1) <=> (v109(constB1) | v118(constB1)))) | v108(constB1) | (~(v109(constB1) | v118(constB1)))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28581,plain,
% 218.73/141.30 (v108(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28580, 28579, 28469])).
% 218.73/141.30 tff(28582,plain,
% 218.73/141.30 ((v108(constB1) | v119(constB1)) | (~v108(constB1))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28583,plain,
% 218.73/141.30 (v108(constB1) | v119(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28582, 28581])).
% 218.73/141.30 tff(28584,plain,
% 218.73/141.30 ((~(v107(constB1) <=> (v108(constB1) | v119(constB1)))) | v107(constB1) | (~(v108(constB1) | v119(constB1)))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28585,plain,
% 218.73/141.30 (v107(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28584, 28583, 28467])).
% 218.73/141.30 tff(28586,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB1)) <=> v105(constB1))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28587,plain,
% 218.73/141.30 ((~v120(constB1)) <=> v105(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28586, 144])).
% 218.73/141.30 tff(28588,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB1) <=> v26(constB1))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28589,plain,
% 218.73/141.30 (v105(constB1) <=> v26(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28588, 156])).
% 218.73/141.30 tff(28590,plain,
% 218.73/141.30 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 218.73/141.30 inference(quant_inst,[status(thm)],[])).
% 218.73/141.30 tff(28591,plain,
% 218.73/141.30 (~v26(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28590, 168])).
% 218.73/141.30 tff(28592,plain,
% 218.73/141.30 ((~(v105(constB1) <=> v26(constB1))) | (~v105(constB1)) | v26(constB1)),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28593,plain,
% 218.73/141.30 ((~(v105(constB1) <=> v26(constB1))) | (~v105(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28592, 28591])).
% 218.73/141.30 tff(28594,plain,
% 218.73/141.30 (~v105(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28593, 28589])).
% 218.73/141.30 tff(28595,plain,
% 218.73/141.30 ((~((~v120(constB1)) <=> v105(constB1))) | v120(constB1) | v105(constB1)),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28596,plain,
% 218.73/141.30 ((~((~v120(constB1)) <=> v105(constB1))) | v120(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28595, 28594])).
% 218.73/141.30 tff(28597,plain,
% 218.73/141.30 (v120(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28596, 28587])).
% 218.73/141.30 tff(28598,plain,
% 218.73/141.30 ((~((~v107(constB1)) | (~v120(constB1)))) | (~v107(constB1)) | (~v120(constB1))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28599,plain,
% 218.73/141.30 ((~((~v107(constB1)) | (~v120(constB1)))) | (~v107(constB1))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28598, 28597])).
% 218.73/141.30 tff(28600,plain,
% 218.73/141.30 (~((~v107(constB1)) | (~v120(constB1)))),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28599, 28585])).
% 218.73/141.30 tff(28601,plain,
% 218.73/141.30 ((~(v106(constB1) <=> (~((~v107(constB1)) | (~v120(constB1)))))) | v106(constB1) | ((~v107(constB1)) | (~v120(constB1)))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28602,plain,
% 218.73/141.30 (v106(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28601, 28600, 28465])).
% 218.73/141.30 tff(28603,plain,
% 218.73/141.30 ((v105(constB1) | v106(constB1)) | (~v106(constB1))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28604,plain,
% 218.73/141.30 (v105(constB1) | v106(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28603, 28602])).
% 218.73/141.30 tff(28605,plain,
% 218.73/141.30 ((~(v102(constB1) <=> (v105(constB1) | v106(constB1)))) | v102(constB1) | (~(v105(constB1) | v106(constB1)))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28606,plain,
% 218.73/141.30 (v102(constB1)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28605, 28604, 28463])).
% 218.73/141.30 tff(28607,plain,
% 218.73/141.30 ((~(v104(constB2) <=> v102(constB1))) | v104(constB2) | (~v102(constB1))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28608,plain,
% 218.73/141.30 (v104(constB2)),
% 218.73/141.30 inference(unit_resolution,[status(thm)],[28607, 28606, 28461])).
% 218.73/141.30 tff(28609,plain,
% 218.73/141.30 ((~((~v95(constB2)) | (~v104(constB2)))) | (~v95(constB2)) | (~v104(constB2))),
% 218.73/141.30 inference(tautology,[status(thm)],[])).
% 218.73/141.30 tff(28610,plain,
% 218.73/141.31 (~((~v95(constB2)) | (~v104(constB2)))),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28609, 28608, 28457])).
% 218.73/141.31 tff(28611,plain,
% 218.73/141.31 ((~(v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2)))))) | v94(constB2) | ((~v95(constB2)) | (~v104(constB2)))),
% 218.73/141.31 inference(tautology,[status(thm)],[])).
% 218.73/141.31 tff(28612,plain,
% 218.73/141.31 (v94(constB2)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28611, 28610, 28426])).
% 218.73/141.31 tff(28613,plain,
% 218.73/141.31 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B))))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28614,plain,
% 218.73/141.31 (((~v94(constB2)) | ![B: $int] : ((v84(constB2, B) <=> v123(constB2, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B))))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28615,plain,
% 218.73/141.31 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB2)) | ![B: $int] : ((v84(constB2, B) <=> v123(constB2, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28614])).
% 218.73/141.31 tff(28616,plain,
% 218.73/141.31 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB2)) | ![B: $int] : ((v84(constB2, B) <=> v123(constB2, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B))))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28615, 28613])).
% 218.73/141.31 tff(28617,plain,
% 218.73/141.31 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB2)) | ![B: $int] : ((v84(constB2, B) <=> v123(constB2, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28618,plain,
% 218.73/141.31 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28617, 28616])).
% 218.73/141.31 tff(28619,plain,
% 218.73/141.31 ((~v94(constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28618, 1491])).
% 218.73/141.31 tff(28620,plain,
% 218.73/141.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28619, 28612])).
% 218.73/141.31 tff(28621,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 0) <=> v123(constB2, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 0) <=> v123(constB2, 0)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28622,plain,
% 218.73/141.31 (($false | $false | (v84(constB2, 0) <=> v123(constB2, 0))) <=> (v84(constB2, 0) <=> v123(constB2, 0))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28623,plain,
% 218.73/141.31 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB2, 0) <=> v123(constB2, 0))) <=> ($false | $false | (v84(constB2, 0) <=> v123(constB2, 0)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.31 tff(28624,plain,
% 218.73/141.31 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB2, 0) <=> v123(constB2, 0))) <=> (v84(constB2, 0) <=> v123(constB2, 0))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28623, 28622])).
% 218.73/141.31 tff(28625,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB2, 0) <=> v123(constB2, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 0) <=> v123(constB2, 0)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28624])).
% 218.73/141.31 tff(28626,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB2, 0) <=> v123(constB2, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 0) <=> v123(constB2, 0)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28625, 28621])).
% 218.73/141.31 tff(28627,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB2, 0) <=> v123(constB2, 0)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28628,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 0) <=> v123(constB2, 0))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28627, 28626])).
% 218.73/141.31 tff(28629,plain,
% 218.73/141.31 (v84(constB2, 0) <=> v123(constB2, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28628, 28620])).
% 218.73/141.31 tff(28630,plain,
% 218.73/141.31 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB1, constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB1, constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B))))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28631,plain,
% 218.73/141.31 (((~nextState(constB1, constB2)) | ![B: $int] : ((v123(constB2, B) <=> v121(constB1, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB1, constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B))))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28632,plain,
% 218.73/141.31 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB1, constB2)) | ![B: $int] : ((v123(constB2, B) <=> v121(constB1, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB1, constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28631])).
% 218.73/141.31 tff(28633,plain,
% 218.73/141.31 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB1, constB2)) | ![B: $int] : ((v123(constB2, B) <=> v121(constB1, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB1, constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B))))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28632, 28630])).
% 218.73/141.31 tff(28634,plain,
% 218.73/141.31 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB1, constB2)) | ![B: $int] : ((v123(constB2, B) <=> v121(constB1, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28635,plain,
% 218.73/141.31 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB1, constB2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28634, 28633])).
% 218.73/141.31 tff(28636,plain,
% 218.73/141.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28635, 28422, 1527])).
% 218.73/141.31 tff(28637,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 0) <=> v121(constB1, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 0) <=> v121(constB1, 0)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28638,plain,
% 218.73/141.31 (($false | $false | (v123(constB2, 0) <=> v121(constB1, 0))) <=> (v123(constB2, 0) <=> v121(constB1, 0))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28639,plain,
% 218.73/141.31 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB2, 0) <=> v121(constB1, 0))) <=> ($false | $false | (v123(constB2, 0) <=> v121(constB1, 0)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.31 tff(28640,plain,
% 218.73/141.31 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB2, 0) <=> v121(constB1, 0))) <=> (v123(constB2, 0) <=> v121(constB1, 0))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28639, 28638])).
% 218.73/141.31 tff(28641,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB2, 0) <=> v121(constB1, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 0) <=> v121(constB1, 0)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28640])).
% 218.73/141.31 tff(28642,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB2, 0) <=> v121(constB1, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 0) <=> v121(constB1, 0)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28641, 28637])).
% 218.73/141.31 tff(28643,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB2, 0) <=> v121(constB1, 0)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28644,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 0) <=> v121(constB1, 0))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28643, 28642])).
% 218.73/141.31 tff(28645,plain,
% 218.73/141.31 (v123(constB2, 0) <=> v121(constB1, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28644, 28636])).
% 218.73/141.31 tff(28646,plain,
% 218.73/141.31 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB1) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB1) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B))))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28647,plain,
% 218.73/141.31 ((v105(constB1) | ![B: $int] : ((v121(constB1, B) <=> v124(constB1, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB1) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B))))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28648,plain,
% 218.73/141.31 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB1) | ![B: $int] : ((v121(constB1, B) <=> v124(constB1, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB1) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28647])).
% 218.73/141.31 tff(28649,plain,
% 218.73/141.31 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB1) | ![B: $int] : ((v121(constB1, B) <=> v124(constB1, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB1) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B))))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28648, 28646])).
% 218.73/141.31 tff(28650,plain,
% 218.73/141.31 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB1) | ![B: $int] : ((v121(constB1, B) <=> v124(constB1, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28651,plain,
% 218.73/141.31 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB1) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28650, 28649])).
% 218.73/141.31 tff(28652,plain,
% 218.73/141.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28651, 1562, 28594])).
% 218.73/141.31 tff(28653,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 0) <=> v124(constB1, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 0) <=> v124(constB1, 0)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28654,plain,
% 218.73/141.31 (($false | $false | (v121(constB1, 0) <=> v124(constB1, 0))) <=> (v121(constB1, 0) <=> v124(constB1, 0))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28655,plain,
% 218.73/141.31 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB1, 0) <=> v124(constB1, 0))) <=> ($false | $false | (v121(constB1, 0) <=> v124(constB1, 0)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.31 tff(28656,plain,
% 218.73/141.31 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB1, 0) <=> v124(constB1, 0))) <=> (v121(constB1, 0) <=> v124(constB1, 0))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28655, 28654])).
% 218.73/141.31 tff(28657,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB1, 0) <=> v124(constB1, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 0) <=> v124(constB1, 0)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28656])).
% 218.73/141.31 tff(28658,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB1, 0) <=> v124(constB1, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 0) <=> v124(constB1, 0)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28657, 28653])).
% 218.73/141.31 tff(28659,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB1, 0) <=> v124(constB1, 0)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28660,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 0) <=> v124(constB1, 0))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28659, 28658])).
% 218.73/141.31 tff(28661,plain,
% 218.73/141.31 (v121(constB1, 0) <=> v124(constB1, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28660, 28652])).
% 218.73/141.31 tff(28662,plain,
% 218.73/141.31 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B))))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28663,plain,
% 218.73/141.31 (((~v113(constB1)) | ![B: $int] : ((v124(constB1, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B))))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28664,plain,
% 218.73/141.31 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB1)) | ![B: $int] : ((v124(constB1, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28663])).
% 218.73/141.31 tff(28665,plain,
% 218.73/141.31 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB1)) | ![B: $int] : ((v124(constB1, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B))))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28664, 28662])).
% 218.73/141.31 tff(28666,plain,
% 218.73/141.31 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB1)) | ![B: $int] : ((v124(constB1, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28667,plain,
% 218.73/141.31 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB1)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28666, 28665])).
% 218.73/141.31 tff(28668,plain,
% 218.73/141.31 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28667, 2117, 28560])).
% 218.73/141.31 tff(28669,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 0) <=> b001(0)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28670,plain,
% 218.73/141.31 (($false | $false | (v124(constB1, 0) <=> b001(0))) <=> (v124(constB1, 0) <=> b001(0))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28671,plain,
% 218.73/141.31 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB1, 0) <=> b001(0))) <=> ($false | $false | (v124(constB1, 0) <=> b001(0)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.31 tff(28672,plain,
% 218.73/141.31 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB1, 0) <=> b001(0))) <=> (v124(constB1, 0) <=> b001(0))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28671, 28670])).
% 218.73/141.31 tff(28673,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB1, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 0) <=> b001(0)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28672])).
% 218.73/141.31 tff(28674,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB1, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 0) <=> b001(0)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28673, 28669])).
% 218.73/141.31 tff(28675,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB1, 0) <=> b001(0)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28676,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 0) <=> b001(0))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28675, 28674])).
% 218.73/141.31 tff(28677,plain,
% 218.73/141.31 (v124(constB1, 0) <=> b001(0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28676, 28668])).
% 218.73/141.31 tff(28678,plain,
% 218.73/141.31 ((~(v124(constB1, 0) <=> b001(0))) | v124(constB1, 0) | (~b001(0))),
% 218.73/141.31 inference(tautology,[status(thm)],[])).
% 218.73/141.31 tff(28679,plain,
% 218.73/141.31 ((~(v124(constB1, 0) <=> b001(0))) | v124(constB1, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28678, 1940])).
% 218.73/141.31 tff(28680,plain,
% 218.73/141.31 (v124(constB1, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28679, 28677])).
% 218.73/141.31 tff(28681,plain,
% 218.73/141.31 ((~(v121(constB1, 0) <=> v124(constB1, 0))) | v121(constB1, 0) | (~v124(constB1, 0))),
% 218.73/141.31 inference(tautology,[status(thm)],[])).
% 218.73/141.31 tff(28682,plain,
% 218.73/141.31 ((~(v121(constB1, 0) <=> v124(constB1, 0))) | v121(constB1, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28681, 28680])).
% 218.73/141.31 tff(28683,plain,
% 218.73/141.31 (v121(constB1, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28682, 28661])).
% 218.73/141.31 tff(28684,plain,
% 218.73/141.31 ((~(v123(constB2, 0) <=> v121(constB1, 0))) | v123(constB2, 0) | (~v121(constB1, 0))),
% 218.73/141.31 inference(tautology,[status(thm)],[])).
% 218.73/141.31 tff(28685,plain,
% 218.73/141.31 ((~(v123(constB2, 0) <=> v121(constB1, 0))) | v123(constB2, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28684, 28683])).
% 218.73/141.31 tff(28686,plain,
% 218.73/141.31 (v123(constB2, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28685, 28645])).
% 218.73/141.31 tff(28687,plain,
% 218.73/141.31 ((~(v84(constB2, 0) <=> v123(constB2, 0))) | v84(constB2, 0) | (~v123(constB2, 0))),
% 218.73/141.31 inference(tautology,[status(thm)],[])).
% 218.73/141.31 tff(28688,plain,
% 218.73/141.31 ((~(v84(constB2, 0) <=> v123(constB2, 0))) | v84(constB2, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28687, 28686])).
% 218.73/141.31 tff(28689,plain,
% 218.73/141.31 (v84(constB2, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28688, 28629])).
% 218.73/141.31 tff(28690,plain,
% 218.73/141.31 ((~(v84(constB3, 0) <=> v84(constB2, 0))) | v84(constB3, 0) | (~v84(constB2, 0))),
% 218.73/141.31 inference(tautology,[status(thm)],[])).
% 218.73/141.31 tff(28691,plain,
% 218.73/141.31 ((~(v84(constB3, 0) <=> v84(constB2, 0))) | v84(constB3, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28690, 28689])).
% 218.73/141.31 tff(28692,plain,
% 218.73/141.31 (v84(constB3, 0)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28691, 28419])).
% 218.73/141.31 tff(28693,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 1) <=> v84(constB2, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 1) <=> v84(constB2, 1)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28694,plain,
% 218.73/141.31 (($false | $false | (v84(constB3, 1) <=> v84(constB2, 1))) <=> (v84(constB3, 1) <=> v84(constB2, 1))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28695,plain,
% 218.73/141.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB3, 1) <=> v84(constB2, 1))) <=> ($false | $false | (v84(constB3, 1) <=> v84(constB2, 1)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.31 tff(28696,plain,
% 218.73/141.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB3, 1) <=> v84(constB2, 1))) <=> (v84(constB3, 1) <=> v84(constB2, 1))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28695, 28694])).
% 218.73/141.31 tff(28697,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB3, 1) <=> v84(constB2, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 1) <=> v84(constB2, 1)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28696])).
% 218.73/141.31 tff(28698,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB3, 1) <=> v84(constB2, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 1) <=> v84(constB2, 1)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28697, 28693])).
% 218.73/141.31 tff(28699,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB3, 1) <=> v84(constB2, 1)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28700,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 1) <=> v84(constB2, 1))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28699, 28698])).
% 218.73/141.31 tff(28701,plain,
% 218.73/141.31 (v84(constB3, 1) <=> v84(constB2, 1)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28700, 28410])).
% 218.73/141.31 tff(28702,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 1) <=> v123(constB2, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 1) <=> v123(constB2, 1)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28703,plain,
% 218.73/141.31 (($false | $false | (v84(constB2, 1) <=> v123(constB2, 1))) <=> (v84(constB2, 1) <=> v123(constB2, 1))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28704,plain,
% 218.73/141.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB2, 1) <=> v123(constB2, 1))) <=> ($false | $false | (v84(constB2, 1) <=> v123(constB2, 1)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.31 tff(28705,plain,
% 218.73/141.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB2, 1) <=> v123(constB2, 1))) <=> (v84(constB2, 1) <=> v123(constB2, 1))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28704, 28703])).
% 218.73/141.31 tff(28706,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB2, 1) <=> v123(constB2, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 1) <=> v123(constB2, 1)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28705])).
% 218.73/141.31 tff(28707,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB2, 1) <=> v123(constB2, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 1) <=> v123(constB2, 1)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28706, 28702])).
% 218.73/141.31 tff(28708,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB2, 1) <=> v123(constB2, 1)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28709,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 1) <=> v123(constB2, 1))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28708, 28707])).
% 218.73/141.31 tff(28710,plain,
% 218.73/141.31 (v84(constB2, 1) <=> v123(constB2, 1)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28709, 28620])).
% 218.73/141.31 tff(28711,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 1) <=> v121(constB1, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 1) <=> v121(constB1, 1)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28712,plain,
% 218.73/141.31 (($false | $false | (v123(constB2, 1) <=> v121(constB1, 1))) <=> (v123(constB2, 1) <=> v121(constB1, 1))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28713,plain,
% 218.73/141.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB2, 1) <=> v121(constB1, 1))) <=> ($false | $false | (v123(constB2, 1) <=> v121(constB1, 1)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.31 tff(28714,plain,
% 218.73/141.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB2, 1) <=> v121(constB1, 1))) <=> (v123(constB2, 1) <=> v121(constB1, 1))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28713, 28712])).
% 218.73/141.31 tff(28715,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB2, 1) <=> v121(constB1, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 1) <=> v121(constB1, 1)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28714])).
% 218.73/141.31 tff(28716,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB2, 1) <=> v121(constB1, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 1) <=> v121(constB1, 1)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28715, 28711])).
% 218.73/141.31 tff(28717,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB2, 1) <=> v121(constB1, 1)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28718,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 1) <=> v121(constB1, 1))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28717, 28716])).
% 218.73/141.31 tff(28719,plain,
% 218.73/141.31 (v123(constB2, 1) <=> v121(constB1, 1)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28718, 28636])).
% 218.73/141.31 tff(28720,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 1) <=> v124(constB1, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 1) <=> v124(constB1, 1)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28721,plain,
% 218.73/141.31 (($false | $false | (v121(constB1, 1) <=> v124(constB1, 1))) <=> (v121(constB1, 1) <=> v124(constB1, 1))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28722,plain,
% 218.73/141.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB1, 1) <=> v124(constB1, 1))) <=> ($false | $false | (v121(constB1, 1) <=> v124(constB1, 1)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.31 tff(28723,plain,
% 218.73/141.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB1, 1) <=> v124(constB1, 1))) <=> (v121(constB1, 1) <=> v124(constB1, 1))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28722, 28721])).
% 218.73/141.31 tff(28724,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB1, 1) <=> v124(constB1, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 1) <=> v124(constB1, 1)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28723])).
% 218.73/141.31 tff(28725,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB1, 1) <=> v124(constB1, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 1) <=> v124(constB1, 1)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28724, 28720])).
% 218.73/141.31 tff(28726,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB1, 1) <=> v124(constB1, 1)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28727,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 1) <=> v124(constB1, 1))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28726, 28725])).
% 218.73/141.31 tff(28728,plain,
% 218.73/141.31 (v121(constB1, 1) <=> v124(constB1, 1)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28727, 28652])).
% 218.73/141.31 tff(28729,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 1) <=> b001(1)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28730,plain,
% 218.73/141.31 (($false | $false | (v124(constB1, 1) <=> b001(1))) <=> (v124(constB1, 1) <=> b001(1))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28731,plain,
% 218.73/141.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB1, 1) <=> b001(1))) <=> ($false | $false | (v124(constB1, 1) <=> b001(1)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.31 tff(28732,plain,
% 218.73/141.31 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB1, 1) <=> b001(1))) <=> (v124(constB1, 1) <=> b001(1))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28731, 28730])).
% 218.73/141.31 tff(28733,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB1, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 1) <=> b001(1)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28732])).
% 218.73/141.31 tff(28734,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB1, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 1) <=> b001(1)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28733, 28729])).
% 218.73/141.31 tff(28735,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB1, 1) <=> b001(1)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28736,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 1) <=> b001(1))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28735, 28734])).
% 218.73/141.31 tff(28737,plain,
% 218.73/141.31 (v124(constB1, 1) <=> b001(1)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28736, 28668])).
% 218.73/141.31 tff(28738,plain,
% 218.73/141.31 ((~(v124(constB1, 1) <=> b001(1))) | (~v124(constB1, 1)) | b001(1)),
% 218.73/141.31 inference(tautology,[status(thm)],[])).
% 218.73/141.31 tff(28739,plain,
% 218.73/141.31 ((~(v124(constB1, 1) <=> b001(1))) | (~v124(constB1, 1))),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28738, 1885])).
% 218.73/141.31 tff(28740,plain,
% 218.73/141.31 (~v124(constB1, 1)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28739, 28737])).
% 218.73/141.31 tff(28741,plain,
% 218.73/141.31 ((~(v121(constB1, 1) <=> v124(constB1, 1))) | (~v121(constB1, 1)) | v124(constB1, 1)),
% 218.73/141.31 inference(tautology,[status(thm)],[])).
% 218.73/141.31 tff(28742,plain,
% 218.73/141.31 ((~(v121(constB1, 1) <=> v124(constB1, 1))) | (~v121(constB1, 1))),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28741, 28740])).
% 218.73/141.31 tff(28743,plain,
% 218.73/141.31 (~v121(constB1, 1)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28742, 28728])).
% 218.73/141.31 tff(28744,plain,
% 218.73/141.31 ((~(v123(constB2, 1) <=> v121(constB1, 1))) | (~v123(constB2, 1)) | v121(constB1, 1)),
% 218.73/141.31 inference(tautology,[status(thm)],[])).
% 218.73/141.31 tff(28745,plain,
% 218.73/141.31 ((~(v123(constB2, 1) <=> v121(constB1, 1))) | (~v123(constB2, 1))),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28744, 28743])).
% 218.73/141.31 tff(28746,plain,
% 218.73/141.31 (~v123(constB2, 1)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28745, 28719])).
% 218.73/141.31 tff(28747,plain,
% 218.73/141.31 ((~(v84(constB2, 1) <=> v123(constB2, 1))) | (~v84(constB2, 1)) | v123(constB2, 1)),
% 218.73/141.31 inference(tautology,[status(thm)],[])).
% 218.73/141.31 tff(28748,plain,
% 218.73/141.31 ((~(v84(constB2, 1) <=> v123(constB2, 1))) | (~v84(constB2, 1))),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28747, 28746])).
% 218.73/141.31 tff(28749,plain,
% 218.73/141.31 (~v84(constB2, 1)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28748, 28710])).
% 218.73/141.31 tff(28750,plain,
% 218.73/141.31 ((~(v84(constB3, 1) <=> v84(constB2, 1))) | (~v84(constB3, 1)) | v84(constB2, 1)),
% 218.73/141.31 inference(tautology,[status(thm)],[])).
% 218.73/141.31 tff(28751,plain,
% 218.73/141.31 ((~(v84(constB3, 1) <=> v84(constB2, 1))) | (~v84(constB3, 1))),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28750, 28749])).
% 218.73/141.31 tff(28752,plain,
% 218.73/141.31 (~v84(constB3, 1)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28751, 28701])).
% 218.73/141.31 tff(28753,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 2) <=> v84(constB2, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 2) <=> v84(constB2, 2)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28754,plain,
% 218.73/141.31 (($false | $false | (v84(constB3, 2) <=> v84(constB2, 2))) <=> (v84(constB3, 2) <=> v84(constB2, 2))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28755,plain,
% 218.73/141.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB3, 2) <=> v84(constB2, 2))) <=> ($false | $false | (v84(constB3, 2) <=> v84(constB2, 2)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.31 tff(28756,plain,
% 218.73/141.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB3, 2) <=> v84(constB2, 2))) <=> (v84(constB3, 2) <=> v84(constB2, 2))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28755, 28754])).
% 218.73/141.31 tff(28757,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB3, 2) <=> v84(constB2, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 2) <=> v84(constB2, 2)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28756])).
% 218.73/141.31 tff(28758,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB3, 2) <=> v84(constB2, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 2) <=> v84(constB2, 2)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28757, 28753])).
% 218.73/141.31 tff(28759,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB3, 2) <=> v84(constB2, 2)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28760,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB3, B) <=> v84(constB2, B)))) | (v84(constB3, 2) <=> v84(constB2, 2))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28759, 28758])).
% 218.73/141.31 tff(28761,plain,
% 218.73/141.31 (v84(constB3, 2) <=> v84(constB2, 2)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28760, 28410])).
% 218.73/141.31 tff(28762,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 2) <=> v123(constB2, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 2) <=> v123(constB2, 2)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28763,plain,
% 218.73/141.31 (($false | $false | (v84(constB2, 2) <=> v123(constB2, 2))) <=> (v84(constB2, 2) <=> v123(constB2, 2))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28764,plain,
% 218.73/141.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB2, 2) <=> v123(constB2, 2))) <=> ($false | $false | (v84(constB2, 2) <=> v123(constB2, 2)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.31 tff(28765,plain,
% 218.73/141.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB2, 2) <=> v123(constB2, 2))) <=> (v84(constB2, 2) <=> v123(constB2, 2))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28764, 28763])).
% 218.73/141.31 tff(28766,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB2, 2) <=> v123(constB2, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 2) <=> v123(constB2, 2)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28765])).
% 218.73/141.31 tff(28767,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB2, 2) <=> v123(constB2, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 2) <=> v123(constB2, 2)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28766, 28762])).
% 218.73/141.31 tff(28768,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB2, 2) <=> v123(constB2, 2)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28769,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB2, B) <=> v123(constB2, B)))) | (v84(constB2, 2) <=> v123(constB2, 2))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28768, 28767])).
% 218.73/141.31 tff(28770,plain,
% 218.73/141.31 (v84(constB2, 2) <=> v123(constB2, 2)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28769, 28620])).
% 218.73/141.31 tff(28771,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 2) <=> v121(constB1, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 2) <=> v121(constB1, 2)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28772,plain,
% 218.73/141.31 (($false | $false | (v123(constB2, 2) <=> v121(constB1, 2))) <=> (v123(constB2, 2) <=> v121(constB1, 2))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28773,plain,
% 218.73/141.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB2, 2) <=> v121(constB1, 2))) <=> ($false | $false | (v123(constB2, 2) <=> v121(constB1, 2)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.31 tff(28774,plain,
% 218.73/141.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB2, 2) <=> v121(constB1, 2))) <=> (v123(constB2, 2) <=> v121(constB1, 2))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28773, 28772])).
% 218.73/141.31 tff(28775,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB2, 2) <=> v121(constB1, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 2) <=> v121(constB1, 2)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28774])).
% 218.73/141.31 tff(28776,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB2, 2) <=> v121(constB1, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 2) <=> v121(constB1, 2)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28775, 28771])).
% 218.73/141.31 tff(28777,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB2, 2) <=> v121(constB1, 2)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28778,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB2, B) <=> v121(constB1, B)))) | (v123(constB2, 2) <=> v121(constB1, 2))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28777, 28776])).
% 218.73/141.31 tff(28779,plain,
% 218.73/141.31 (v123(constB2, 2) <=> v121(constB1, 2)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28778, 28636])).
% 218.73/141.31 tff(28780,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 2) <=> v124(constB1, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 2) <=> v124(constB1, 2)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28781,plain,
% 218.73/141.31 (($false | $false | (v121(constB1, 2) <=> v124(constB1, 2))) <=> (v121(constB1, 2) <=> v124(constB1, 2))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28782,plain,
% 218.73/141.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB1, 2) <=> v124(constB1, 2))) <=> ($false | $false | (v121(constB1, 2) <=> v124(constB1, 2)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.31 tff(28783,plain,
% 218.73/141.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB1, 2) <=> v124(constB1, 2))) <=> (v121(constB1, 2) <=> v124(constB1, 2))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28782, 28781])).
% 218.73/141.31 tff(28784,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB1, 2) <=> v124(constB1, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 2) <=> v124(constB1, 2)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28783])).
% 218.73/141.31 tff(28785,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB1, 2) <=> v124(constB1, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 2) <=> v124(constB1, 2)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28784, 28780])).
% 218.73/141.31 tff(28786,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB1, 2) <=> v124(constB1, 2)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28787,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB1, B) <=> v124(constB1, B)))) | (v121(constB1, 2) <=> v124(constB1, 2))),
% 218.73/141.31 inference(modus_ponens,[status(thm)],[28786, 28785])).
% 218.73/141.31 tff(28788,plain,
% 218.73/141.31 (v121(constB1, 2) <=> v124(constB1, 2)),
% 218.73/141.31 inference(unit_resolution,[status(thm)],[28787, 28652])).
% 218.73/141.31 tff(28789,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 2) <=> b001(2)))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28790,plain,
% 218.73/141.31 (($false | $false | (v124(constB1, 2) <=> b001(2))) <=> (v124(constB1, 2) <=> b001(2))),
% 218.73/141.31 inference(rewrite,[status(thm)],[])).
% 218.73/141.31 tff(28791,plain,
% 218.73/141.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB1, 2) <=> b001(2))) <=> ($false | $false | (v124(constB1, 2) <=> b001(2)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.31 tff(28792,plain,
% 218.73/141.31 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB1, 2) <=> b001(2))) <=> (v124(constB1, 2) <=> b001(2))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28791, 28790])).
% 218.73/141.31 tff(28793,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB1, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 2) <=> b001(2)))),
% 218.73/141.31 inference(monotonicity,[status(thm)],[28792])).
% 218.73/141.31 tff(28794,plain,
% 218.73/141.31 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB1, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 2) <=> b001(2)))),
% 218.73/141.31 inference(transitivity,[status(thm)],[28793, 28789])).
% 218.73/141.31 tff(28795,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB1, 2) <=> b001(2)))),
% 218.73/141.31 inference(quant_inst,[status(thm)],[])).
% 218.73/141.31 tff(28796,plain,
% 218.73/141.31 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB1, B) <=> b001(B)))) | (v124(constB1, 2) <=> b001(2))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28795, 28794])).
% 218.73/141.32 tff(28797,plain,
% 218.73/141.32 (v124(constB1, 2) <=> b001(2)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28796, 28668])).
% 218.73/141.32 tff(28798,plain,
% 218.73/141.32 ((~(v124(constB1, 2) <=> b001(2))) | (~v124(constB1, 2)) | b001(2)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28799,plain,
% 218.73/141.32 ((~(v124(constB1, 2) <=> b001(2))) | (~v124(constB1, 2))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28798, 1831])).
% 218.73/141.32 tff(28800,plain,
% 218.73/141.32 (~v124(constB1, 2)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28799, 28797])).
% 218.73/141.32 tff(28801,plain,
% 218.73/141.32 ((~(v121(constB1, 2) <=> v124(constB1, 2))) | (~v121(constB1, 2)) | v124(constB1, 2)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28802,plain,
% 218.73/141.32 ((~(v121(constB1, 2) <=> v124(constB1, 2))) | (~v121(constB1, 2))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28801, 28800])).
% 218.73/141.32 tff(28803,plain,
% 218.73/141.32 (~v121(constB1, 2)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28802, 28788])).
% 218.73/141.32 tff(28804,plain,
% 218.73/141.32 ((~(v123(constB2, 2) <=> v121(constB1, 2))) | (~v123(constB2, 2)) | v121(constB1, 2)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28805,plain,
% 218.73/141.32 ((~(v123(constB2, 2) <=> v121(constB1, 2))) | (~v123(constB2, 2))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28804, 28803])).
% 218.73/141.32 tff(28806,plain,
% 218.73/141.32 (~v123(constB2, 2)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28805, 28779])).
% 218.73/141.32 tff(28807,plain,
% 218.73/141.32 ((~(v84(constB2, 2) <=> v123(constB2, 2))) | (~v84(constB2, 2)) | v123(constB2, 2)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28808,plain,
% 218.73/141.32 ((~(v84(constB2, 2) <=> v123(constB2, 2))) | (~v84(constB2, 2))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28807, 28806])).
% 218.73/141.32 tff(28809,plain,
% 218.73/141.32 (~v84(constB2, 2)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28808, 28770])).
% 218.73/141.32 tff(28810,plain,
% 218.73/141.32 ((~(v84(constB3, 2) <=> v84(constB2, 2))) | (~v84(constB3, 2)) | v84(constB2, 2)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28811,plain,
% 218.73/141.32 ((~(v84(constB3, 2) <=> v84(constB2, 2))) | (~v84(constB3, 2))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28810, 28809])).
% 218.73/141.32 tff(28812,plain,
% 218.73/141.32 (~v84(constB3, 2)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28811, 28761])).
% 218.73/141.32 tff(28813,plain,
% 218.73/141.32 ((~(v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0)))) | v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28814,plain,
% 218.73/141.32 (~(v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28813, 28812, 28752, 28692])).
% 218.73/141.32 tff(28815,plain,
% 218.73/141.32 ((~(v114(constB3) <=> (~(v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0)))))) | v114(constB3) | (v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0)))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28816,plain,
% 218.73/141.32 ((~(v114(constB3) <=> (~(v84(constB3, 2) | v84(constB3, 1) | (~v84(constB3, 0)))))) | v114(constB3)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28815, 28814])).
% 218.73/141.32 tff(28817,plain,
% 218.73/141.32 (v114(constB3)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28816, 28376])).
% 218.73/141.32 tff(28818,plain,
% 218.73/141.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B))))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28819,plain,
% 218.73/141.32 (((~v114(constB3)) | ![B: $int] : ((v124(constB3, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B))))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28820,plain,
% 218.73/141.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB3)) | ![B: $int] : ((v124(constB3, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))))),
% 218.73/141.32 inference(monotonicity,[status(thm)],[28819])).
% 218.73/141.32 tff(28821,plain,
% 218.73/141.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB3)) | ![B: $int] : ((v124(constB3, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B))))),
% 218.73/141.32 inference(transitivity,[status(thm)],[28820, 28818])).
% 218.73/141.32 tff(28822,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB3)) | ![B: $int] : ((v124(constB3, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28823,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB3)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28822, 28821])).
% 218.73/141.32 tff(28824,plain,
% 218.73/141.32 ($false),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28823, 2418, 28817, 28369])).
% 218.73/141.32 tff(28825,plain,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.32 tff(28826,assumption,(v124(constB3, 0)), introduced(assumption)).
% 218.73/141.32 tff(28827,plain,
% 218.73/141.32 ((~(v124(constB3, 0) <=> b010(0))) | (~v124(constB3, 0)) | b010(0)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28828,plain,
% 218.73/141.32 (~(v124(constB3, 0) <=> b010(0))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28827, 2437, 28826])).
% 218.73/141.32 tff(28829,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))), introduced(assumption)).
% 218.73/141.32 tff(28830,plain,
% 218.73/141.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))) | (v124(constB3, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))) | (v124(constB3, 0) <=> b010(0)))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28831,plain,
% 218.73/141.32 (($false | $false | (v124(constB3, 0) <=> b010(0))) <=> (v124(constB3, 0) <=> b010(0))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28832,plain,
% 218.73/141.32 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB3, 0) <=> b010(0))) <=> ($false | $false | (v124(constB3, 0) <=> b010(0)))),
% 218.73/141.32 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.32 tff(28833,plain,
% 218.73/141.32 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB3, 0) <=> b010(0))) <=> (v124(constB3, 0) <=> b010(0))),
% 218.73/141.32 inference(transitivity,[status(thm)],[28832, 28831])).
% 218.73/141.32 tff(28834,plain,
% 218.73/141.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB3, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))) | (v124(constB3, 0) <=> b010(0)))),
% 218.73/141.32 inference(monotonicity,[status(thm)],[28833])).
% 218.73/141.32 tff(28835,plain,
% 218.73/141.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB3, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))) | (v124(constB3, 0) <=> b010(0)))),
% 218.73/141.32 inference(transitivity,[status(thm)],[28834, 28830])).
% 218.73/141.32 tff(28836,plain,
% 218.73/141.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB3, 0) <=> b010(0)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28837,plain,
% 218.73/141.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))) | (v124(constB3, 0) <=> b010(0))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28836, 28835])).
% 218.73/141.32 tff(28838,plain,
% 218.73/141.32 ($false),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28837, 28829, 28828])).
% 218.73/141.32 tff(28839,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB3, B) <=> b010(B)))) | (~v124(constB3, 0))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.32 tff(28840,plain,
% 218.73/141.32 (~v124(constB3, 0)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28839, 28825])).
% 218.73/141.32 tff(28841,assumption,(~(v121(constB3, 0) <=> v124(constB3, 0))), introduced(assumption)).
% 218.73/141.32 tff(28842,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB3) <=> v26(constB3))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28843,plain,
% 218.73/141.32 (v105(constB3) <=> v26(constB3)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28842, 156])).
% 218.73/141.32 tff(28844,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28845,plain,
% 218.73/141.32 (~v26(constB3)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28844, 168])).
% 218.73/141.32 tff(28846,plain,
% 218.73/141.32 ((~(v105(constB3) <=> v26(constB3))) | (~v105(constB3)) | v26(constB3)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28847,plain,
% 218.73/141.32 ((~(v105(constB3) <=> v26(constB3))) | (~v105(constB3))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28846, 28845])).
% 218.73/141.32 tff(28848,plain,
% 218.73/141.32 (~v105(constB3)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28847, 28843])).
% 218.73/141.32 tff(28849,plain,
% 218.73/141.32 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB3) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB3) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B))))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28850,plain,
% 218.73/141.32 ((v105(constB3) | ![B: $int] : ((v121(constB3, B) <=> v124(constB3, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB3) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B))))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28851,plain,
% 218.73/141.32 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB3) | ![B: $int] : ((v121(constB3, B) <=> v124(constB3, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB3) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B)))))),
% 218.73/141.32 inference(monotonicity,[status(thm)],[28850])).
% 218.73/141.32 tff(28852,plain,
% 218.73/141.32 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB3) | ![B: $int] : ((v121(constB3, B) <=> v124(constB3, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB3) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B))))),
% 218.73/141.32 inference(transitivity,[status(thm)],[28851, 28849])).
% 218.73/141.32 tff(28853,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB3) | ![B: $int] : ((v121(constB3, B) <=> v124(constB3, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28854,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB3) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B)))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28853, 28852])).
% 218.73/141.32 tff(28855,plain,
% 218.73/141.32 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28854, 1562, 28848])).
% 218.73/141.32 tff(28856,plain,
% 218.73/141.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B)))) | (v121(constB3, 0) <=> v124(constB3, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B)))) | (v121(constB3, 0) <=> v124(constB3, 0)))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28857,plain,
% 218.73/141.32 (($false | $false | (v121(constB3, 0) <=> v124(constB3, 0))) <=> (v121(constB3, 0) <=> v124(constB3, 0))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28858,plain,
% 218.73/141.32 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB3, 0) <=> v124(constB3, 0))) <=> ($false | $false | (v121(constB3, 0) <=> v124(constB3, 0)))),
% 218.73/141.32 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.32 tff(28859,plain,
% 218.73/141.32 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB3, 0) <=> v124(constB3, 0))) <=> (v121(constB3, 0) <=> v124(constB3, 0))),
% 218.73/141.32 inference(transitivity,[status(thm)],[28858, 28857])).
% 218.73/141.32 tff(28860,plain,
% 218.73/141.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB3, 0) <=> v124(constB3, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B)))) | (v121(constB3, 0) <=> v124(constB3, 0)))),
% 218.73/141.32 inference(monotonicity,[status(thm)],[28859])).
% 218.73/141.32 tff(28861,plain,
% 218.73/141.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB3, 0) <=> v124(constB3, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B)))) | (v121(constB3, 0) <=> v124(constB3, 0)))),
% 218.73/141.32 inference(transitivity,[status(thm)],[28860, 28856])).
% 218.73/141.32 tff(28862,plain,
% 218.73/141.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB3, 0) <=> v124(constB3, 0)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28863,plain,
% 218.73/141.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB3, B) <=> v124(constB3, B)))) | (v121(constB3, 0) <=> v124(constB3, 0))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28862, 28861])).
% 218.73/141.32 tff(28864,plain,
% 218.73/141.32 ($false),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28863, 28855, 28841])).
% 218.73/141.32 tff(28865,plain,(v121(constB3, 0) <=> v124(constB3, 0)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.32 tff(28866,plain,
% 218.73/141.32 ((~(v121(constB3, 0) <=> v124(constB3, 0))) | (~v121(constB3, 0)) | v124(constB3, 0)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28867,plain,
% 218.73/141.32 ((~v121(constB3, 0)) | v124(constB3, 0)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28866, 28865])).
% 218.73/141.32 tff(28868,plain,
% 218.73/141.32 (~v121(constB3, 0)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28867, 28840])).
% 218.73/141.32 tff(28869,plain,
% 218.73/141.32 ((~(v123(constB4, 0) <=> v121(constB3, 0))) | (~v123(constB4, 0)) | v121(constB3, 0)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28870,plain,
% 218.73/141.32 (~v123(constB4, 0)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28869, 28868, 28368])).
% 218.73/141.32 tff(28871,assumption,(~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))), introduced(assumption)).
% 218.73/141.32 tff(28872,plain,
% 218.73/141.32 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28873,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38')).
% 218.73/141.32 tff(28874,plain,
% 218.73/141.32 (nextState(constB38, constB39)),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28873, 28872])).
% 218.73/141.32 tff(28875,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39))))))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28876,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39))))))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28877,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39)))))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28876, 28875])).
% 218.73/141.32 tff(28878,plain,
% 218.73/141.32 (v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39))))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28877, 28874, 14])).
% 218.73/141.32 tff(28879,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28880,plain,
% 218.73/141.32 (((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39)))))) <=> ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28881,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))))),
% 218.73/141.32 inference(monotonicity,[status(thm)],[28880])).
% 218.73/141.32 tff(28882,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))),
% 218.73/141.32 inference(transitivity,[status(thm)],[28881, 28879])).
% 218.73/141.32 tff(28883,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39))))))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28884,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28883, 28882])).
% 218.73/141.32 tff(28885,plain,
% 218.73/141.32 (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28884, 28874, 37])).
% 218.73/141.32 tff(28886,plain,
% 218.73/141.32 ((~v1(constB39)) <=> (~v1(constB39))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28887,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39')).
% 218.73/141.32 tff(28888,plain,
% 218.73/141.32 (~v1(constB39)),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28887, 28886])).
% 218.73/141.32 tff(28889,plain,
% 218.73/141.32 (((~v1(constB39)) | (~v96(constB39))) | v1(constB39)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28890,plain,
% 218.73/141.32 ((~v1(constB39)) | (~v96(constB39))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28889, 28888])).
% 218.73/141.32 tff(28891,plain,
% 218.73/141.32 ((~(v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))) | (~v95(constB39)) | (~((~v1(constB39)) | (~v96(constB39))))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28892,plain,
% 218.73/141.32 ((~(v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))) | (~v95(constB39))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28891, 28890])).
% 218.73/141.32 tff(28893,plain,
% 218.73/141.32 (~v95(constB39)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28892, 28885])).
% 218.73/141.32 tff(28894,plain,
% 218.73/141.32 (((~v95(constB39)) | (~v104(constB39))) | v95(constB39)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28895,plain,
% 218.73/141.32 ((~v95(constB39)) | (~v104(constB39))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28894, 28893])).
% 218.73/141.32 tff(28896,plain,
% 218.73/141.32 ((~(v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39)))))) | (~v94(constB39)) | (~((~v95(constB39)) | (~v104(constB39))))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28897,plain,
% 218.73/141.32 (~v94(constB39)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28896, 28895, 28878])).
% 218.73/141.32 tff(28898,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB39) | (~nextState(constB38, constB39)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB39) | (~nextState(constB38, constB39)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B))))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28899,plain,
% 218.73/141.32 ((v94(constB39) | (~nextState(constB38, constB39)) | ![B: $int] : ((v84(constB39, B) <=> v84(constB38, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB39) | (~nextState(constB38, constB39)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B))))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28900,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB39) | (~nextState(constB38, constB39)) | ![B: $int] : ((v84(constB39, B) <=> v84(constB38, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB39) | (~nextState(constB38, constB39)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))))),
% 218.73/141.32 inference(monotonicity,[status(thm)],[28899])).
% 218.73/141.32 tff(28901,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB39) | (~nextState(constB38, constB39)) | ![B: $int] : ((v84(constB39, B) <=> v84(constB38, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB39) | (~nextState(constB38, constB39)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B))))),
% 218.73/141.32 inference(transitivity,[status(thm)],[28900, 28898])).
% 218.73/141.32 tff(28902,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB39) | (~nextState(constB38, constB39)) | ![B: $int] : ((v84(constB39, B) <=> v84(constB38, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28903,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB39) | (~nextState(constB38, constB39)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28902, 28901])).
% 218.73/141.32 tff(28904,plain,
% 218.73/141.32 (v94(constB39) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28903, 28874, 235])).
% 218.73/141.32 tff(28905,plain,
% 218.73/141.32 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28904, 28897])).
% 218.73/141.32 tff(28906,plain,
% 218.73/141.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 0) <=> v84(constB38, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 0) <=> v84(constB38, 0)))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28907,plain,
% 218.73/141.32 (($false | $false | (v84(constB39, 0) <=> v84(constB38, 0))) <=> (v84(constB39, 0) <=> v84(constB38, 0))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28908,plain,
% 218.73/141.32 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB39, 0) <=> v84(constB38, 0))) <=> ($false | $false | (v84(constB39, 0) <=> v84(constB38, 0)))),
% 218.73/141.32 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.32 tff(28909,plain,
% 218.73/141.32 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB39, 0) <=> v84(constB38, 0))) <=> (v84(constB39, 0) <=> v84(constB38, 0))),
% 218.73/141.32 inference(transitivity,[status(thm)],[28908, 28907])).
% 218.73/141.32 tff(28910,plain,
% 218.73/141.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB39, 0) <=> v84(constB38, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 0) <=> v84(constB38, 0)))),
% 218.73/141.32 inference(monotonicity,[status(thm)],[28909])).
% 218.73/141.32 tff(28911,plain,
% 218.73/141.32 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB39, 0) <=> v84(constB38, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 0) <=> v84(constB38, 0)))),
% 218.73/141.32 inference(transitivity,[status(thm)],[28910, 28906])).
% 218.73/141.32 tff(28912,plain,
% 218.73/141.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB39, 0) <=> v84(constB38, 0)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28913,plain,
% 218.73/141.32 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 0) <=> v84(constB38, 0))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28912, 28911])).
% 218.73/141.32 tff(28914,plain,
% 218.73/141.32 (v84(constB39, 0) <=> v84(constB38, 0)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28913, 28905])).
% 218.73/141.32 tff(28915,assumption,(~(v108(constB37) <=> (v109(constB37) | v118(constB37)))), introduced(assumption)).
% 218.73/141.32 tff(28916,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB37) <=> (v109(constB37) | v118(constB37)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28917,plain,
% 218.73/141.32 ($false),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28916, 428, 28915])).
% 218.73/141.32 tff(28918,plain,(v108(constB37) <=> (v109(constB37) | v118(constB37))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.32 tff(28919,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB37) <=> (v112(constB37) | v115(constB37)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28920,plain,
% 218.73/141.32 (v111(constB37) <=> (v112(constB37) | v115(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28919, 274])).
% 218.73/141.32 tff(28921,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB37) <=> (v113(constB37) | v114(constB37)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28922,plain,
% 218.73/141.32 (v112(constB37) <=> (v113(constB37) | v114(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28921, 283])).
% 218.73/141.32 tff(28923,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB37) <=> (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28924,plain,
% 218.73/141.32 (v114(constB37) <=> (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28923, 298])).
% 218.73/141.32 tff(28925,plain,
% 218.73/141.32 ((~(v114(constB37) <=> (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))))) | v114(constB37) | (v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28926,plain,
% 218.73/141.32 ((~(v114(constB37) <=> (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))))) | v114(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28925, 28871])).
% 218.73/141.32 tff(28927,plain,
% 218.73/141.32 (v114(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28926, 28924])).
% 218.73/141.32 tff(28928,plain,
% 218.73/141.32 ((v113(constB37) | v114(constB37)) | (~v114(constB37))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28929,plain,
% 218.73/141.32 (v113(constB37) | v114(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28928, 28927])).
% 218.73/141.32 tff(28930,plain,
% 218.73/141.32 ((~(v112(constB37) <=> (v113(constB37) | v114(constB37)))) | v112(constB37) | (~(v113(constB37) | v114(constB37)))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28931,plain,
% 218.73/141.32 ((~(v112(constB37) <=> (v113(constB37) | v114(constB37)))) | v112(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28930, 28929])).
% 218.73/141.32 tff(28932,plain,
% 218.73/141.32 (v112(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28931, 28922])).
% 218.73/141.32 tff(28933,plain,
% 218.73/141.32 ((v112(constB37) | v115(constB37)) | (~v112(constB37))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28934,plain,
% 218.73/141.32 (v112(constB37) | v115(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28933, 28932])).
% 218.73/141.32 tff(28935,plain,
% 218.73/141.32 ((~(v111(constB37) <=> (v112(constB37) | v115(constB37)))) | v111(constB37) | (~(v112(constB37) | v115(constB37)))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28936,plain,
% 218.73/141.32 (v111(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28935, 28934, 28920])).
% 218.73/141.32 tff(28937,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB37) <=> (v111(constB37) | v116(constB37)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28938,plain,
% 218.73/141.32 (v110(constB37) <=> (v111(constB37) | v116(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28937, 265])).
% 218.73/141.32 tff(28939,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB37) <=> (v110(constB37) | v117(constB37)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28940,plain,
% 218.73/141.32 (v109(constB37) <=> (v110(constB37) | v117(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28939, 456])).
% 218.73/141.32 tff(28941,assumption,(v108(constB37) <=> (v109(constB37) | v118(constB37))), introduced(assumption)).
% 218.73/141.32 tff(28942,assumption,(~v108(constB37)), introduced(assumption)).
% 218.73/141.32 tff(28943,plain,
% 218.73/141.32 ((~(v108(constB37) <=> (v109(constB37) | v118(constB37)))) | v108(constB37) | (~(v109(constB37) | v118(constB37)))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28944,plain,
% 218.73/141.32 ((~(v108(constB37) <=> (v109(constB37) | v118(constB37)))) | (~(v109(constB37) | v118(constB37)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28943, 28942])).
% 218.73/141.32 tff(28945,plain,
% 218.73/141.32 (~(v109(constB37) | v118(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28944, 28941])).
% 218.73/141.32 tff(28946,plain,
% 218.73/141.32 ((v109(constB37) | v118(constB37)) | (~v109(constB37))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28947,plain,
% 218.73/141.32 (~v109(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28946, 28945])).
% 218.73/141.32 tff(28948,plain,
% 218.73/141.32 ((~(v109(constB37) <=> (v110(constB37) | v117(constB37)))) | v109(constB37) | (~(v110(constB37) | v117(constB37)))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28949,plain,
% 218.73/141.32 ((~(v109(constB37) <=> (v110(constB37) | v117(constB37)))) | (~(v110(constB37) | v117(constB37)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28948, 28947])).
% 218.73/141.32 tff(28950,plain,
% 218.73/141.32 (~(v110(constB37) | v117(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28949, 28940])).
% 218.73/141.32 tff(28951,plain,
% 218.73/141.32 ((v110(constB37) | v117(constB37)) | (~v110(constB37))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28952,plain,
% 218.73/141.32 (~v110(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28951, 28950])).
% 218.73/141.32 tff(28953,plain,
% 218.73/141.32 ((~(v110(constB37) <=> (v111(constB37) | v116(constB37)))) | v110(constB37) | (~(v111(constB37) | v116(constB37)))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28954,plain,
% 218.73/141.32 (~(v111(constB37) | v116(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28953, 28952, 28938])).
% 218.73/141.32 tff(28955,plain,
% 218.73/141.32 ((v111(constB37) | v116(constB37)) | (~v111(constB37))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28956,plain,
% 218.73/141.32 ($false),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28955, 28954, 28936])).
% 218.73/141.32 tff(28957,plain,((~(v108(constB37) <=> (v109(constB37) | v118(constB37)))) | (v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))) | v108(constB37)), inference(lemma,lemma(discharge,[]))).
% 218.73/141.32 tff(28958,plain,
% 218.73/141.32 ((v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))) | v108(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28957, 28918])).
% 218.73/141.32 tff(28959,plain,
% 218.73/141.32 (v108(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28958, 28871])).
% 218.73/141.32 tff(28960,plain,
% 218.73/141.32 ((v108(constB37) | v119(constB37)) | (~v108(constB37))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28961,plain,
% 218.73/141.32 (v108(constB37) | v119(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28960, 28959])).
% 218.73/141.32 tff(28962,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB37) <=> (v108(constB37) | v119(constB37)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28963,plain,
% 218.73/141.32 (v107(constB37) <=> (v108(constB37) | v119(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28962, 187])).
% 218.73/141.32 tff(28964,plain,
% 218.73/141.32 ((~(v107(constB37) <=> (v108(constB37) | v119(constB37)))) | v107(constB37) | (~(v108(constB37) | v119(constB37)))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28965,plain,
% 218.73/141.32 (v107(constB37) | (~(v108(constB37) | v119(constB37)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28964, 28963])).
% 218.73/141.32 tff(28966,plain,
% 218.73/141.32 (v107(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28965, 28961])).
% 218.73/141.32 tff(28967,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB37)) <=> v105(constB37))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28968,plain,
% 218.73/141.32 ((~v120(constB37)) <=> v105(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28967, 144])).
% 218.73/141.32 tff(28969,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB37) <=> v26(constB37))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28970,plain,
% 218.73/141.32 (v105(constB37) <=> v26(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28969, 156])).
% 218.73/141.32 tff(28971,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28972,plain,
% 218.73/141.32 (~v26(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28971, 168])).
% 218.73/141.32 tff(28973,plain,
% 218.73/141.32 ((~(v105(constB37) <=> v26(constB37))) | (~v105(constB37)) | v26(constB37)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28974,plain,
% 218.73/141.32 ((~(v105(constB37) <=> v26(constB37))) | (~v105(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28973, 28972])).
% 218.73/141.32 tff(28975,plain,
% 218.73/141.32 (~v105(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28974, 28970])).
% 218.73/141.32 tff(28976,plain,
% 218.73/141.32 ((~((~v120(constB37)) <=> v105(constB37))) | v120(constB37) | v105(constB37)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28977,plain,
% 218.73/141.32 ((~((~v120(constB37)) <=> v105(constB37))) | v120(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28976, 28975])).
% 218.73/141.32 tff(28978,plain,
% 218.73/141.32 (v120(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28977, 28968])).
% 218.73/141.32 tff(28979,plain,
% 218.73/141.32 ((~((~v107(constB37)) | (~v120(constB37)))) | (~v107(constB37)) | (~v120(constB37))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28980,plain,
% 218.73/141.32 ((~((~v107(constB37)) | (~v120(constB37)))) | (~v107(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28979, 28978])).
% 218.73/141.32 tff(28981,plain,
% 218.73/141.32 (~((~v107(constB37)) | (~v120(constB37)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28980, 28966])).
% 218.73/141.32 tff(28982,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB37) <=> (~((~v107(constB37)) | (~v120(constB37)))))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28983,plain,
% 218.73/141.32 (v106(constB37) <=> (~((~v107(constB37)) | (~v120(constB37))))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28982, 132])).
% 218.73/141.32 tff(28984,plain,
% 218.73/141.32 ((~(v106(constB37) <=> (~((~v107(constB37)) | (~v120(constB37)))))) | v106(constB37) | ((~v107(constB37)) | (~v120(constB37)))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28985,plain,
% 218.73/141.32 (v106(constB37) | ((~v107(constB37)) | (~v120(constB37)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28984, 28983])).
% 218.73/141.32 tff(28986,plain,
% 218.73/141.32 (v106(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28985, 28981])).
% 218.73/141.32 tff(28987,plain,
% 218.73/141.32 ((v105(constB37) | v106(constB37)) | (~v106(constB37))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28988,plain,
% 218.73/141.32 (v105(constB37) | v106(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28987, 28986])).
% 218.73/141.32 tff(28989,plain,
% 218.73/141.32 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB37) <=> (v105(constB37) | v106(constB37)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28990,plain,
% 218.73/141.32 (v102(constB37) <=> (v105(constB37) | v106(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28989, 115])).
% 218.73/141.32 tff(28991,plain,
% 218.73/141.32 ((~(v102(constB37) <=> (v105(constB37) | v106(constB37)))) | v102(constB37) | (~(v105(constB37) | v106(constB37)))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(28992,plain,
% 218.73/141.32 (v102(constB37) | (~(v105(constB37) | v106(constB37)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28991, 28990])).
% 218.73/141.32 tff(28993,plain,
% 218.73/141.32 (v102(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28992, 28988])).
% 218.73/141.32 tff(28994,plain,
% 218.73/141.32 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28995,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37')).
% 218.73/141.32 tff(28996,plain,
% 218.73/141.32 (nextState(constB37, constB38)),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28995, 28994])).
% 218.73/141.32 tff(28997,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37)))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(28998,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(28999,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[28998, 28997])).
% 218.73/141.32 tff(29000,plain,
% 218.73/141.32 (v104(constB38) <=> v102(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[28999, 28996, 101])).
% 218.73/141.32 tff(29001,plain,
% 218.73/141.32 ((~(v104(constB38) <=> v102(constB37))) | v104(constB38) | (~v102(constB37))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(29002,plain,
% 218.73/141.32 (v104(constB38) | (~v102(constB37))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29001, 29000])).
% 218.73/141.32 tff(29003,plain,
% 218.73/141.32 (v104(constB38)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29002, 28993])).
% 218.73/141.32 tff(29004,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(29005,plain,
% 218.73/141.32 (((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38)))))) <=> ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(29006,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38)))))))),
% 218.73/141.32 inference(monotonicity,[status(thm)],[29005])).
% 218.73/141.32 tff(29007,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))),
% 218.73/141.32 inference(transitivity,[status(thm)],[29006, 29004])).
% 218.73/141.32 tff(29008,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38))))))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(29009,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38)))))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[29008, 29007])).
% 218.73/141.32 tff(29010,plain,
% 218.73/141.32 (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29009, 28996, 37])).
% 218.73/141.32 tff(29011,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38)))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(29012,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(29013,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[29012, 29011])).
% 218.73/141.32 tff(29014,plain,
% 218.73/141.32 ((~v96(constB38)) <=> v98(constB38)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29013, 28996, 54])).
% 218.73/141.32 tff(29015,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37)))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(29016,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37)))),
% 218.73/141.32 inference(quant_inst,[status(thm)],[])).
% 218.73/141.32 tff(29017,plain,
% 218.73/141.32 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37))),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[29016, 29015])).
% 218.73/141.32 tff(29018,plain,
% 218.73/141.32 (v98(constB38) <=> v1(constB37)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29017, 28996, 68])).
% 218.73/141.32 tff(29019,plain,
% 218.73/141.32 ((~v1(constB37)) <=> (~v1(constB37))),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(29020,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37')).
% 218.73/141.32 tff(29021,plain,
% 218.73/141.32 (~v1(constB37)),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[29020, 29019])).
% 218.73/141.32 tff(29022,plain,
% 218.73/141.32 ((~(v98(constB38) <=> v1(constB37))) | (~v98(constB38)) | v1(constB37)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(29023,plain,
% 218.73/141.32 ((~(v98(constB38) <=> v1(constB37))) | (~v98(constB38))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29022, 29021])).
% 218.73/141.32 tff(29024,plain,
% 218.73/141.32 (~v98(constB38)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29023, 29018])).
% 218.73/141.32 tff(29025,plain,
% 218.73/141.32 ((~((~v96(constB38)) <=> v98(constB38))) | v96(constB38) | v98(constB38)),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(29026,plain,
% 218.73/141.32 (v96(constB38)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29025, 29024, 29014])).
% 218.73/141.32 tff(29027,plain,
% 218.73/141.32 (v1(constB38) <=> v1(constB38)),
% 218.73/141.32 inference(rewrite,[status(thm)],[])).
% 218.73/141.32 tff(29028,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38')).
% 218.73/141.32 tff(29029,plain,
% 218.73/141.32 (v1(constB38)),
% 218.73/141.32 inference(modus_ponens,[status(thm)],[29028, 29027])).
% 218.73/141.32 tff(29030,plain,
% 218.73/141.32 ((~((~v1(constB38)) | (~v96(constB38)))) | (~v1(constB38)) | (~v96(constB38))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(29031,plain,
% 218.73/141.32 ((~((~v1(constB38)) | (~v96(constB38)))) | (~v96(constB38))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29030, 29029])).
% 218.73/141.32 tff(29032,plain,
% 218.73/141.32 (~((~v1(constB38)) | (~v96(constB38)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29031, 29026])).
% 218.73/141.32 tff(29033,plain,
% 218.73/141.32 ((~(v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38)))))) | v95(constB38) | ((~v1(constB38)) | (~v96(constB38)))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(29034,plain,
% 218.73/141.32 (v95(constB38)),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29033, 29032, 29010])).
% 218.73/141.32 tff(29035,plain,
% 218.73/141.32 ((~((~v95(constB38)) | (~v104(constB38)))) | (~v95(constB38)) | (~v104(constB38))),
% 218.73/141.32 inference(tautology,[status(thm)],[])).
% 218.73/141.32 tff(29036,plain,
% 218.73/141.32 ((~((~v95(constB38)) | (~v104(constB38)))) | (~v104(constB38))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29035, 29034])).
% 218.73/141.32 tff(29037,plain,
% 218.73/141.32 (~((~v95(constB38)) | (~v104(constB38)))),
% 218.73/141.32 inference(unit_resolution,[status(thm)],[29036, 29003])).
% 218.73/141.32 tff(29038,plain,
% 218.73/141.32 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38))))))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29039,plain,
% 218.73/141.33 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38))))))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29040,plain,
% 218.73/141.33 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38)))))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29039, 29038])).
% 218.73/141.33 tff(29041,plain,
% 218.73/141.33 (v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38))))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29040, 28996, 14])).
% 218.73/141.33 tff(29042,plain,
% 218.73/141.33 ((~(v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38)))))) | v94(constB38) | ((~v95(constB38)) | (~v104(constB38)))),
% 218.73/141.33 inference(tautology,[status(thm)],[])).
% 218.73/141.33 tff(29043,plain,
% 218.73/141.33 (v94(constB38) | ((~v95(constB38)) | (~v104(constB38)))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29042, 29041])).
% 218.73/141.33 tff(29044,plain,
% 218.73/141.33 (v94(constB38)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29043, 29037])).
% 218.73/141.33 tff(29045,plain,
% 218.73/141.33 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B))))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29046,plain,
% 218.73/141.33 (((~v94(constB38)) | ![B: $int] : ((v84(constB38, B) <=> v123(constB38, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B))))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29047,plain,
% 218.73/141.33 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB38)) | ![B: $int] : ((v84(constB38, B) <=> v123(constB38, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29046])).
% 218.73/141.33 tff(29048,plain,
% 218.73/141.33 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB38)) | ![B: $int] : ((v84(constB38, B) <=> v123(constB38, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B))))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29047, 29045])).
% 218.73/141.33 tff(29049,plain,
% 218.73/141.33 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB38)) | ![B: $int] : ((v84(constB38, B) <=> v123(constB38, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29050,plain,
% 218.73/141.33 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29049, 29048])).
% 218.73/141.33 tff(29051,plain,
% 218.73/141.33 ((~v94(constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29050, 1491])).
% 218.73/141.33 tff(29052,plain,
% 218.73/141.33 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29051, 29044])).
% 218.73/141.33 tff(29053,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 0) <=> v123(constB38, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 0) <=> v123(constB38, 0)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29054,plain,
% 218.73/141.33 (($false | $false | (v84(constB38, 0) <=> v123(constB38, 0))) <=> (v84(constB38, 0) <=> v123(constB38, 0))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29055,plain,
% 218.73/141.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB38, 0) <=> v123(constB38, 0))) <=> ($false | $false | (v84(constB38, 0) <=> v123(constB38, 0)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.33 tff(29056,plain,
% 218.73/141.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB38, 0) <=> v123(constB38, 0))) <=> (v84(constB38, 0) <=> v123(constB38, 0))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29055, 29054])).
% 218.73/141.33 tff(29057,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB38, 0) <=> v123(constB38, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 0) <=> v123(constB38, 0)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29056])).
% 218.73/141.33 tff(29058,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB38, 0) <=> v123(constB38, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 0) <=> v123(constB38, 0)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29057, 29053])).
% 218.73/141.33 tff(29059,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB38, 0) <=> v123(constB38, 0)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29060,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 0) <=> v123(constB38, 0))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29059, 29058])).
% 218.73/141.33 tff(29061,plain,
% 218.73/141.33 (v84(constB38, 0) <=> v123(constB38, 0)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29060, 29052])).
% 218.73/141.33 tff(29062,plain,
% 218.73/141.33 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B))))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29063,plain,
% 218.73/141.33 (((~nextState(constB37, constB38)) | ![B: $int] : ((v123(constB38, B) <=> v121(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B))))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29064,plain,
% 218.73/141.33 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB37, constB38)) | ![B: $int] : ((v123(constB38, B) <=> v121(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29063])).
% 218.73/141.33 tff(29065,plain,
% 218.73/141.33 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB37, constB38)) | ![B: $int] : ((v123(constB38, B) <=> v121(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B))))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29064, 29062])).
% 218.73/141.33 tff(29066,plain,
% 218.73/141.33 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB37, constB38)) | ![B: $int] : ((v123(constB38, B) <=> v121(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29067,plain,
% 218.73/141.33 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29066, 29065])).
% 218.73/141.33 tff(29068,plain,
% 218.73/141.33 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29067, 28996, 1527])).
% 218.73/141.33 tff(29069,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 0) <=> v121(constB37, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 0) <=> v121(constB37, 0)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29070,plain,
% 218.73/141.33 (($false | $false | (v123(constB38, 0) <=> v121(constB37, 0))) <=> (v123(constB38, 0) <=> v121(constB37, 0))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29071,plain,
% 218.73/141.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB38, 0) <=> v121(constB37, 0))) <=> ($false | $false | (v123(constB38, 0) <=> v121(constB37, 0)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.33 tff(29072,plain,
% 218.73/141.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB38, 0) <=> v121(constB37, 0))) <=> (v123(constB38, 0) <=> v121(constB37, 0))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29071, 29070])).
% 218.73/141.33 tff(29073,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB38, 0) <=> v121(constB37, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 0) <=> v121(constB37, 0)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29072])).
% 218.73/141.33 tff(29074,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB38, 0) <=> v121(constB37, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 0) <=> v121(constB37, 0)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29073, 29069])).
% 218.73/141.33 tff(29075,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB38, 0) <=> v121(constB37, 0)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29076,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 0) <=> v121(constB37, 0))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29075, 29074])).
% 218.73/141.33 tff(29077,plain,
% 218.73/141.33 (v123(constB38, 0) <=> v121(constB37, 0)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29076, 29068])).
% 218.73/141.33 tff(29078,plain,
% 218.73/141.33 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB37) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB37) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B))))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29079,plain,
% 218.73/141.33 ((v105(constB37) | ![B: $int] : ((v121(constB37, B) <=> v124(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB37) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B))))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29080,plain,
% 218.73/141.33 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB37) | ![B: $int] : ((v121(constB37, B) <=> v124(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB37) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29079])).
% 218.73/141.33 tff(29081,plain,
% 218.73/141.33 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB37) | ![B: $int] : ((v121(constB37, B) <=> v124(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB37) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B))))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29080, 29078])).
% 218.73/141.33 tff(29082,plain,
% 218.73/141.33 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB37) | ![B: $int] : ((v121(constB37, B) <=> v124(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29083,plain,
% 218.73/141.33 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB37) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29082, 29081])).
% 218.73/141.33 tff(29084,plain,
% 218.73/141.33 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29083, 1562, 28975])).
% 218.73/141.33 tff(29085,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 0) <=> v124(constB37, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 0) <=> v124(constB37, 0)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29086,plain,
% 218.73/141.33 (($false | $false | (v121(constB37, 0) <=> v124(constB37, 0))) <=> (v121(constB37, 0) <=> v124(constB37, 0))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29087,plain,
% 218.73/141.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB37, 0) <=> v124(constB37, 0))) <=> ($false | $false | (v121(constB37, 0) <=> v124(constB37, 0)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.33 tff(29088,plain,
% 218.73/141.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB37, 0) <=> v124(constB37, 0))) <=> (v121(constB37, 0) <=> v124(constB37, 0))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29087, 29086])).
% 218.73/141.33 tff(29089,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB37, 0) <=> v124(constB37, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 0) <=> v124(constB37, 0)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29088])).
% 218.73/141.33 tff(29090,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB37, 0) <=> v124(constB37, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 0) <=> v124(constB37, 0)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29089, 29085])).
% 218.73/141.33 tff(29091,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB37, 0) <=> v124(constB37, 0)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29092,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 0) <=> v124(constB37, 0))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29091, 29090])).
% 218.73/141.33 tff(29093,plain,
% 218.73/141.33 (v121(constB37, 0) <=> v124(constB37, 0)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29092, 29084])).
% 218.73/141.33 tff(29094,plain,
% 218.73/141.33 (v114(constB37)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[28925, 28871, 28924])).
% 218.73/141.33 tff(29095,plain,
% 218.73/141.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B))))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29096,plain,
% 218.73/141.33 (((~v114(constB37)) | ![B: $int] : ((v124(constB37, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B))))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29097,plain,
% 218.73/141.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB37)) | ![B: $int] : ((v124(constB37, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29096])).
% 218.73/141.33 tff(29098,plain,
% 218.73/141.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB37)) | ![B: $int] : ((v124(constB37, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B))))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29097, 29095])).
% 218.73/141.33 tff(29099,plain,
% 218.73/141.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB37)) | ![B: $int] : ((v124(constB37, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29100,plain,
% 218.73/141.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29099, 29098])).
% 218.73/141.33 tff(29101,plain,
% 218.73/141.33 ((~v114(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29100, 2418])).
% 218.73/141.33 tff(29102,plain,
% 218.73/141.33 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29101, 29094])).
% 218.73/141.33 tff(29103,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 0) <=> b010(0)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29104,plain,
% 218.73/141.33 (($false | $false | (v124(constB37, 0) <=> b010(0))) <=> (v124(constB37, 0) <=> b010(0))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29105,plain,
% 218.73/141.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB37, 0) <=> b010(0))) <=> ($false | $false | (v124(constB37, 0) <=> b010(0)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.33 tff(29106,plain,
% 218.73/141.33 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB37, 0) <=> b010(0))) <=> (v124(constB37, 0) <=> b010(0))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29105, 29104])).
% 218.73/141.33 tff(29107,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB37, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 0) <=> b010(0)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29106])).
% 218.73/141.33 tff(29108,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB37, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 0) <=> b010(0)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29107, 29103])).
% 218.73/141.33 tff(29109,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB37, 0) <=> b010(0)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29110,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 0) <=> b010(0))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29109, 29108])).
% 218.73/141.33 tff(29111,plain,
% 218.73/141.33 (v124(constB37, 0) <=> b010(0)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29110, 29102])).
% 218.73/141.33 tff(29112,plain,
% 218.73/141.33 ((~(v124(constB37, 0) <=> b010(0))) | (~v124(constB37, 0)) | b010(0)),
% 218.73/141.33 inference(tautology,[status(thm)],[])).
% 218.73/141.33 tff(29113,plain,
% 218.73/141.33 ((~(v124(constB37, 0) <=> b010(0))) | (~v124(constB37, 0))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29112, 2437])).
% 218.73/141.33 tff(29114,plain,
% 218.73/141.33 (~v124(constB37, 0)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29113, 29111])).
% 218.73/141.33 tff(29115,plain,
% 218.73/141.33 ((~(v121(constB37, 0) <=> v124(constB37, 0))) | (~v121(constB37, 0)) | v124(constB37, 0)),
% 218.73/141.33 inference(tautology,[status(thm)],[])).
% 218.73/141.33 tff(29116,plain,
% 218.73/141.33 ((~(v121(constB37, 0) <=> v124(constB37, 0))) | (~v121(constB37, 0))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29115, 29114])).
% 218.73/141.33 tff(29117,plain,
% 218.73/141.33 (~v121(constB37, 0)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29116, 29093])).
% 218.73/141.33 tff(29118,plain,
% 218.73/141.33 ((~(v123(constB38, 0) <=> v121(constB37, 0))) | (~v123(constB38, 0)) | v121(constB37, 0)),
% 218.73/141.33 inference(tautology,[status(thm)],[])).
% 218.73/141.33 tff(29119,plain,
% 218.73/141.33 ((~(v123(constB38, 0) <=> v121(constB37, 0))) | (~v123(constB38, 0))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29118, 29117])).
% 218.73/141.33 tff(29120,plain,
% 218.73/141.33 (~v123(constB38, 0)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29119, 29077])).
% 218.73/141.33 tff(29121,plain,
% 218.73/141.33 ((~(v84(constB38, 0) <=> v123(constB38, 0))) | (~v84(constB38, 0)) | v123(constB38, 0)),
% 218.73/141.33 inference(tautology,[status(thm)],[])).
% 218.73/141.33 tff(29122,plain,
% 218.73/141.33 ((~(v84(constB38, 0) <=> v123(constB38, 0))) | (~v84(constB38, 0))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29121, 29120])).
% 218.73/141.33 tff(29123,plain,
% 218.73/141.33 (~v84(constB38, 0)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29122, 29061])).
% 218.73/141.33 tff(29124,plain,
% 218.73/141.33 ((~(v84(constB39, 0) <=> v84(constB38, 0))) | (~v84(constB39, 0)) | v84(constB38, 0)),
% 218.73/141.33 inference(tautology,[status(thm)],[])).
% 218.73/141.33 tff(29125,plain,
% 218.73/141.33 ((~(v84(constB39, 0) <=> v84(constB38, 0))) | (~v84(constB39, 0))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29124, 29123])).
% 218.73/141.33 tff(29126,plain,
% 218.73/141.33 (~v84(constB39, 0)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29125, 28914])).
% 218.73/141.33 tff(29127,assumption,(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))), introduced(assumption)).
% 218.73/141.33 tff(29128,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 2) <=> v84(constB38, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 2) <=> v84(constB38, 2)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29129,plain,
% 218.73/141.33 (($false | $false | (v84(constB39, 2) <=> v84(constB38, 2))) <=> (v84(constB39, 2) <=> v84(constB38, 2))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29130,plain,
% 218.73/141.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB39, 2) <=> v84(constB38, 2))) <=> ($false | $false | (v84(constB39, 2) <=> v84(constB38, 2)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.33 tff(29131,plain,
% 218.73/141.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB39, 2) <=> v84(constB38, 2))) <=> (v84(constB39, 2) <=> v84(constB38, 2))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29130, 29129])).
% 218.73/141.33 tff(29132,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB39, 2) <=> v84(constB38, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 2) <=> v84(constB38, 2)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29131])).
% 218.73/141.33 tff(29133,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB39, 2) <=> v84(constB38, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 2) <=> v84(constB38, 2)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29132, 29128])).
% 218.73/141.33 tff(29134,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB39, 2) <=> v84(constB38, 2)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29135,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 2) <=> v84(constB38, 2))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29134, 29133])).
% 218.73/141.33 tff(29136,plain,
% 218.73/141.33 (v84(constB39, 2) <=> v84(constB38, 2)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29135, 28905])).
% 218.73/141.33 tff(29137,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 2) <=> v123(constB38, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 2) <=> v123(constB38, 2)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29138,plain,
% 218.73/141.33 (($false | $false | (v84(constB38, 2) <=> v123(constB38, 2))) <=> (v84(constB38, 2) <=> v123(constB38, 2))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29139,plain,
% 218.73/141.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB38, 2) <=> v123(constB38, 2))) <=> ($false | $false | (v84(constB38, 2) <=> v123(constB38, 2)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.33 tff(29140,plain,
% 218.73/141.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB38, 2) <=> v123(constB38, 2))) <=> (v84(constB38, 2) <=> v123(constB38, 2))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29139, 29138])).
% 218.73/141.33 tff(29141,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB38, 2) <=> v123(constB38, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 2) <=> v123(constB38, 2)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29140])).
% 218.73/141.33 tff(29142,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB38, 2) <=> v123(constB38, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 2) <=> v123(constB38, 2)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29141, 29137])).
% 218.73/141.33 tff(29143,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB38, 2) <=> v123(constB38, 2)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29144,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 2) <=> v123(constB38, 2))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29143, 29142])).
% 218.73/141.33 tff(29145,plain,
% 218.73/141.33 (v84(constB38, 2) <=> v123(constB38, 2)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29144, 29052])).
% 218.73/141.33 tff(29146,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 2) <=> v121(constB37, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 2) <=> v121(constB37, 2)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29147,plain,
% 218.73/141.33 (($false | $false | (v123(constB38, 2) <=> v121(constB37, 2))) <=> (v123(constB38, 2) <=> v121(constB37, 2))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29148,plain,
% 218.73/141.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB38, 2) <=> v121(constB37, 2))) <=> ($false | $false | (v123(constB38, 2) <=> v121(constB37, 2)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.33 tff(29149,plain,
% 218.73/141.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB38, 2) <=> v121(constB37, 2))) <=> (v123(constB38, 2) <=> v121(constB37, 2))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29148, 29147])).
% 218.73/141.33 tff(29150,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB38, 2) <=> v121(constB37, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 2) <=> v121(constB37, 2)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29149])).
% 218.73/141.33 tff(29151,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB38, 2) <=> v121(constB37, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 2) <=> v121(constB37, 2)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29150, 29146])).
% 218.73/141.33 tff(29152,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB38, 2) <=> v121(constB37, 2)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29153,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 2) <=> v121(constB37, 2))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29152, 29151])).
% 218.73/141.33 tff(29154,plain,
% 218.73/141.33 (v123(constB38, 2) <=> v121(constB37, 2)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29153, 29068])).
% 218.73/141.33 tff(29155,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 2) <=> v124(constB37, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 2) <=> v124(constB37, 2)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29156,plain,
% 218.73/141.33 (($false | $false | (v121(constB37, 2) <=> v124(constB37, 2))) <=> (v121(constB37, 2) <=> v124(constB37, 2))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29157,plain,
% 218.73/141.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB37, 2) <=> v124(constB37, 2))) <=> ($false | $false | (v121(constB37, 2) <=> v124(constB37, 2)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.33 tff(29158,plain,
% 218.73/141.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB37, 2) <=> v124(constB37, 2))) <=> (v121(constB37, 2) <=> v124(constB37, 2))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29157, 29156])).
% 218.73/141.33 tff(29159,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB37, 2) <=> v124(constB37, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 2) <=> v124(constB37, 2)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29158])).
% 218.73/141.33 tff(29160,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB37, 2) <=> v124(constB37, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 2) <=> v124(constB37, 2)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29159, 29155])).
% 218.73/141.33 tff(29161,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB37, 2) <=> v124(constB37, 2)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29162,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 2) <=> v124(constB37, 2))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29161, 29160])).
% 218.73/141.33 tff(29163,plain,
% 218.73/141.33 (v121(constB37, 2) <=> v124(constB37, 2)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29162, 29084])).
% 218.73/141.33 tff(29164,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 2) <=> b010(2)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29165,plain,
% 218.73/141.33 (($false | $false | (v124(constB37, 2) <=> b010(2))) <=> (v124(constB37, 2) <=> b010(2))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29166,plain,
% 218.73/141.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB37, 2) <=> b010(2))) <=> ($false | $false | (v124(constB37, 2) <=> b010(2)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.33 tff(29167,plain,
% 218.73/141.33 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB37, 2) <=> b010(2))) <=> (v124(constB37, 2) <=> b010(2))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29166, 29165])).
% 218.73/141.33 tff(29168,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB37, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 2) <=> b010(2)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29167])).
% 218.73/141.33 tff(29169,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB37, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 2) <=> b010(2)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29168, 29164])).
% 218.73/141.33 tff(29170,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB37, 2) <=> b010(2)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29171,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 2) <=> b010(2))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29170, 29169])).
% 218.73/141.33 tff(29172,plain,
% 218.73/141.33 (v124(constB37, 2) <=> b010(2)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29171, 29102])).
% 218.73/141.33 tff(29173,plain,
% 218.73/141.33 ((~(v124(constB37, 2) <=> b010(2))) | (~v124(constB37, 2)) | b010(2)),
% 218.73/141.33 inference(tautology,[status(thm)],[])).
% 218.73/141.33 tff(29174,plain,
% 218.73/141.33 ((~(v124(constB37, 2) <=> b010(2))) | (~v124(constB37, 2))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29173, 2485])).
% 218.73/141.33 tff(29175,plain,
% 218.73/141.33 (~v124(constB37, 2)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29174, 29172])).
% 218.73/141.33 tff(29176,plain,
% 218.73/141.33 ((~(v121(constB37, 2) <=> v124(constB37, 2))) | (~v121(constB37, 2)) | v124(constB37, 2)),
% 218.73/141.33 inference(tautology,[status(thm)],[])).
% 218.73/141.33 tff(29177,plain,
% 218.73/141.33 ((~(v121(constB37, 2) <=> v124(constB37, 2))) | (~v121(constB37, 2))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29176, 29175])).
% 218.73/141.33 tff(29178,plain,
% 218.73/141.33 (~v121(constB37, 2)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29177, 29163])).
% 218.73/141.33 tff(29179,plain,
% 218.73/141.33 ((~(v123(constB38, 2) <=> v121(constB37, 2))) | (~v123(constB38, 2)) | v121(constB37, 2)),
% 218.73/141.33 inference(tautology,[status(thm)],[])).
% 218.73/141.33 tff(29180,plain,
% 218.73/141.33 ((~(v123(constB38, 2) <=> v121(constB37, 2))) | (~v123(constB38, 2))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29179, 29178])).
% 218.73/141.33 tff(29181,plain,
% 218.73/141.33 (~v123(constB38, 2)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29180, 29154])).
% 218.73/141.33 tff(29182,plain,
% 218.73/141.33 ((~(v84(constB38, 2) <=> v123(constB38, 2))) | (~v84(constB38, 2)) | v123(constB38, 2)),
% 218.73/141.33 inference(tautology,[status(thm)],[])).
% 218.73/141.33 tff(29183,plain,
% 218.73/141.33 ((~(v84(constB38, 2) <=> v123(constB38, 2))) | (~v84(constB38, 2))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29182, 29181])).
% 218.73/141.33 tff(29184,plain,
% 218.73/141.33 (~v84(constB38, 2)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29183, 29145])).
% 218.73/141.33 tff(29185,plain,
% 218.73/141.33 ((~(v84(constB39, 2) <=> v84(constB38, 2))) | (~v84(constB39, 2)) | v84(constB38, 2)),
% 218.73/141.33 inference(tautology,[status(thm)],[])).
% 218.73/141.33 tff(29186,plain,
% 218.73/141.33 ((~(v84(constB39, 2) <=> v84(constB38, 2))) | (~v84(constB39, 2))),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29185, 29184])).
% 218.73/141.33 tff(29187,plain,
% 218.73/141.33 (~v84(constB39, 2)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29186, 29136])).
% 218.73/141.33 tff(29188,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 1) <=> v84(constB38, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 1) <=> v84(constB38, 1)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29189,plain,
% 218.73/141.33 (($false | $false | (v84(constB39, 1) <=> v84(constB38, 1))) <=> (v84(constB39, 1) <=> v84(constB38, 1))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29190,plain,
% 218.73/141.33 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB39, 1) <=> v84(constB38, 1))) <=> ($false | $false | (v84(constB39, 1) <=> v84(constB38, 1)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.33 tff(29191,plain,
% 218.73/141.33 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB39, 1) <=> v84(constB38, 1))) <=> (v84(constB39, 1) <=> v84(constB38, 1))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29190, 29189])).
% 218.73/141.33 tff(29192,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB39, 1) <=> v84(constB38, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 1) <=> v84(constB38, 1)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29191])).
% 218.73/141.33 tff(29193,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB39, 1) <=> v84(constB38, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 1) <=> v84(constB38, 1)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29192, 29188])).
% 218.73/141.33 tff(29194,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB39, 1) <=> v84(constB38, 1)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29195,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB39, B) <=> v84(constB38, B)))) | (v84(constB39, 1) <=> v84(constB38, 1))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29194, 29193])).
% 218.73/141.33 tff(29196,plain,
% 218.73/141.33 (v84(constB39, 1) <=> v84(constB38, 1)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29195, 28905])).
% 218.73/141.33 tff(29197,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 1) <=> v123(constB38, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 1) <=> v123(constB38, 1)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29198,plain,
% 218.73/141.33 (($false | $false | (v84(constB38, 1) <=> v123(constB38, 1))) <=> (v84(constB38, 1) <=> v123(constB38, 1))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29199,plain,
% 218.73/141.33 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB38, 1) <=> v123(constB38, 1))) <=> ($false | $false | (v84(constB38, 1) <=> v123(constB38, 1)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.33 tff(29200,plain,
% 218.73/141.33 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB38, 1) <=> v123(constB38, 1))) <=> (v84(constB38, 1) <=> v123(constB38, 1))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29199, 29198])).
% 218.73/141.33 tff(29201,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB38, 1) <=> v123(constB38, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 1) <=> v123(constB38, 1)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29200])).
% 218.73/141.33 tff(29202,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB38, 1) <=> v123(constB38, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 1) <=> v123(constB38, 1)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29201, 29197])).
% 218.73/141.33 tff(29203,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB38, 1) <=> v123(constB38, 1)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29204,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))) | (v84(constB38, 1) <=> v123(constB38, 1))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29203, 29202])).
% 218.73/141.33 tff(29205,plain,
% 218.73/141.33 (v84(constB38, 1) <=> v123(constB38, 1)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29204, 29052])).
% 218.73/141.33 tff(29206,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 1) <=> v121(constB37, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 1) <=> v121(constB37, 1)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29207,plain,
% 218.73/141.33 (($false | $false | (v123(constB38, 1) <=> v121(constB37, 1))) <=> (v123(constB38, 1) <=> v121(constB37, 1))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29208,plain,
% 218.73/141.33 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB38, 1) <=> v121(constB37, 1))) <=> ($false | $false | (v123(constB38, 1) <=> v121(constB37, 1)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.33 tff(29209,plain,
% 218.73/141.33 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB38, 1) <=> v121(constB37, 1))) <=> (v123(constB38, 1) <=> v121(constB37, 1))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29208, 29207])).
% 218.73/141.33 tff(29210,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB38, 1) <=> v121(constB37, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 1) <=> v121(constB37, 1)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29209])).
% 218.73/141.33 tff(29211,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB38, 1) <=> v121(constB37, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 1) <=> v121(constB37, 1)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29210, 29206])).
% 218.73/141.33 tff(29212,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB38, 1) <=> v121(constB37, 1)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.33 tff(29213,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB38, B) <=> v121(constB37, B)))) | (v123(constB38, 1) <=> v121(constB37, 1))),
% 218.73/141.33 inference(modus_ponens,[status(thm)],[29212, 29211])).
% 218.73/141.33 tff(29214,plain,
% 218.73/141.33 (v123(constB38, 1) <=> v121(constB37, 1)),
% 218.73/141.33 inference(unit_resolution,[status(thm)],[29213, 29068])).
% 218.73/141.33 tff(29215,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 1) <=> v124(constB37, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 1) <=> v124(constB37, 1)))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29216,plain,
% 218.73/141.33 (($false | $false | (v121(constB37, 1) <=> v124(constB37, 1))) <=> (v121(constB37, 1) <=> v124(constB37, 1))),
% 218.73/141.33 inference(rewrite,[status(thm)],[])).
% 218.73/141.33 tff(29217,plain,
% 218.73/141.33 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB37, 1) <=> v124(constB37, 1))) <=> ($false | $false | (v121(constB37, 1) <=> v124(constB37, 1)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.33 tff(29218,plain,
% 218.73/141.33 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB37, 1) <=> v124(constB37, 1))) <=> (v121(constB37, 1) <=> v124(constB37, 1))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29217, 29216])).
% 218.73/141.33 tff(29219,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB37, 1) <=> v124(constB37, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 1) <=> v124(constB37, 1)))),
% 218.73/141.33 inference(monotonicity,[status(thm)],[29218])).
% 218.73/141.33 tff(29220,plain,
% 218.73/141.33 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB37, 1) <=> v124(constB37, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 1) <=> v124(constB37, 1)))),
% 218.73/141.33 inference(transitivity,[status(thm)],[29219, 29215])).
% 218.73/141.33 tff(29221,plain,
% 218.73/141.33 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB37, 1) <=> v124(constB37, 1)))),
% 218.73/141.33 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29222,plain,
% 218.73/141.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB37, B) <=> v124(constB37, B)))) | (v121(constB37, 1) <=> v124(constB37, 1))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29221, 29220])).
% 218.73/141.34 tff(29223,plain,
% 218.73/141.34 (v121(constB37, 1) <=> v124(constB37, 1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29222, 29084])).
% 218.73/141.34 tff(29224,plain,
% 218.73/141.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 1) <=> b010(1)))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29225,plain,
% 218.73/141.34 (($false | $false | (v124(constB37, 1) <=> b010(1))) <=> (v124(constB37, 1) <=> b010(1))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29226,plain,
% 218.73/141.34 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB37, 1) <=> b010(1))) <=> ($false | $false | (v124(constB37, 1) <=> b010(1)))),
% 218.73/141.34 inference(monotonicity,[status(thm)],[402, 401])).
% 218.73/141.34 tff(29227,plain,
% 218.73/141.34 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB37, 1) <=> b010(1))) <=> (v124(constB37, 1) <=> b010(1))),
% 218.73/141.34 inference(transitivity,[status(thm)],[29226, 29225])).
% 218.73/141.34 tff(29228,plain,
% 218.73/141.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB37, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 1) <=> b010(1)))),
% 218.73/141.34 inference(monotonicity,[status(thm)],[29227])).
% 218.73/141.34 tff(29229,plain,
% 218.73/141.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB37, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 1) <=> b010(1)))),
% 218.73/141.34 inference(transitivity,[status(thm)],[29228, 29224])).
% 218.73/141.34 tff(29230,plain,
% 218.73/141.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB37, 1) <=> b010(1)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29231,plain,
% 218.73/141.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b010(B)))) | (v124(constB37, 1) <=> b010(1))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29230, 29229])).
% 218.73/141.34 tff(29232,plain,
% 218.73/141.34 (v124(constB37, 1) <=> b010(1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29231, 29102])).
% 218.73/141.34 tff(29233,plain,
% 218.73/141.34 ((~(v124(constB37, 1) <=> b010(1))) | v124(constB37, 1) | (~b010(1))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29234,plain,
% 218.73/141.34 ((~(v124(constB37, 1) <=> b010(1))) | v124(constB37, 1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29233, 2513])).
% 218.73/141.34 tff(29235,plain,
% 218.73/141.34 (v124(constB37, 1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29234, 29232])).
% 218.73/141.34 tff(29236,plain,
% 218.73/141.34 ((~(v121(constB37, 1) <=> v124(constB37, 1))) | v121(constB37, 1) | (~v124(constB37, 1))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29237,plain,
% 218.73/141.34 ((~(v121(constB37, 1) <=> v124(constB37, 1))) | v121(constB37, 1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29236, 29235])).
% 218.73/141.34 tff(29238,plain,
% 218.73/141.34 (v121(constB37, 1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29237, 29223])).
% 218.73/141.34 tff(29239,plain,
% 218.73/141.34 ((~(v123(constB38, 1) <=> v121(constB37, 1))) | v123(constB38, 1) | (~v121(constB37, 1))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29240,plain,
% 218.73/141.34 ((~(v123(constB38, 1) <=> v121(constB37, 1))) | v123(constB38, 1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29239, 29238])).
% 218.73/141.34 tff(29241,plain,
% 218.73/141.34 (v123(constB38, 1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29240, 29214])).
% 218.73/141.34 tff(29242,plain,
% 218.73/141.34 ((~(v84(constB38, 1) <=> v123(constB38, 1))) | v84(constB38, 1) | (~v123(constB38, 1))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29243,plain,
% 218.73/141.34 ((~(v84(constB38, 1) <=> v123(constB38, 1))) | v84(constB38, 1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29242, 29241])).
% 218.73/141.34 tff(29244,plain,
% 218.73/141.34 (v84(constB38, 1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29243, 29205])).
% 218.73/141.34 tff(29245,plain,
% 218.73/141.34 ((~(v84(constB39, 1) <=> v84(constB38, 1))) | v84(constB39, 1) | (~v84(constB38, 1))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29246,plain,
% 218.73/141.34 ((~(v84(constB39, 1) <=> v84(constB38, 1))) | v84(constB39, 1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29245, 29244])).
% 218.73/141.34 tff(29247,plain,
% 218.73/141.34 (v84(constB39, 1)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29246, 29196])).
% 218.73/141.34 tff(29248,plain,
% 218.73/141.34 ((~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))) | v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29249,plain,
% 218.73/141.34 ($false),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29248, 29247, 29187, 29127, 29126])).
% 218.73/141.34 tff(29250,plain,((v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))) | (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.34 tff(29251,plain,
% 218.73/141.34 (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29250, 28871])).
% 218.73/141.34 tff(29252,plain,
% 218.73/141.34 ((v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))) | (~v84(constB39, 2))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29253,plain,
% 218.73/141.34 (~v84(constB39, 2)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29252, 29251])).
% 218.73/141.34 tff(29254,assumption,(~v84(constB39, 2)), introduced(assumption)).
% 218.73/141.34 tff(29255,assumption,(~v94(constB40)), introduced(assumption)).
% 218.73/141.34 tff(29256,plain,
% 218.73/141.34 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29257,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39')).
% 218.73/141.34 tff(29258,plain,
% 218.73/141.34 (nextState(constB39, constB40)),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29257, 29256])).
% 218.73/141.34 tff(29259,plain,
% 218.73/141.34 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB40) | (~nextState(constB39, constB40)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB40) | (~nextState(constB39, constB40)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B))))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29260,plain,
% 218.73/141.34 ((v94(constB40) | (~nextState(constB39, constB40)) | ![B: $int] : ((v84(constB40, B) <=> v84(constB39, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB40) | (~nextState(constB39, constB40)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B))))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29261,plain,
% 218.73/141.34 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB40) | (~nextState(constB39, constB40)) | ![B: $int] : ((v84(constB40, B) <=> v84(constB39, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB40) | (~nextState(constB39, constB40)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))))),
% 218.73/141.34 inference(monotonicity,[status(thm)],[29260])).
% 218.73/141.34 tff(29262,plain,
% 218.73/141.34 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB40) | (~nextState(constB39, constB40)) | ![B: $int] : ((v84(constB40, B) <=> v84(constB39, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB40) | (~nextState(constB39, constB40)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B))))),
% 218.73/141.34 inference(transitivity,[status(thm)],[29261, 29259])).
% 218.73/141.34 tff(29263,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB40) | (~nextState(constB39, constB40)) | ![B: $int] : ((v84(constB40, B) <=> v84(constB39, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29264,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB40) | (~nextState(constB39, constB40)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29263, 29262])).
% 218.73/141.34 tff(29265,plain,
% 218.73/141.34 (v94(constB40) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29264, 29258, 235])).
% 218.73/141.34 tff(29266,plain,
% 218.73/141.34 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29265, 29255])).
% 218.73/141.34 tff(29267,assumption,(~(v84(constB40, 2) <=> v84(constB39, 2))), introduced(assumption)).
% 218.73/141.34 tff(29268,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))), introduced(assumption)).
% 218.73/141.34 tff(29269,plain,
% 218.73/141.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 2) <=> v84(constB39, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 2) <=> v84(constB39, 2)))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29270,plain,
% 218.73/141.34 (($false | $false | (v84(constB40, 2) <=> v84(constB39, 2))) <=> (v84(constB40, 2) <=> v84(constB39, 2))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29271,plain,
% 218.73/141.34 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB40, 2) <=> v84(constB39, 2))) <=> ($false | $false | (v84(constB40, 2) <=> v84(constB39, 2)))),
% 218.73/141.34 inference(monotonicity,[status(thm)],[534, 533])).
% 218.73/141.34 tff(29272,plain,
% 218.73/141.34 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB40, 2) <=> v84(constB39, 2))) <=> (v84(constB40, 2) <=> v84(constB39, 2))),
% 218.73/141.34 inference(transitivity,[status(thm)],[29271, 29270])).
% 218.73/141.34 tff(29273,plain,
% 218.73/141.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB40, 2) <=> v84(constB39, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 2) <=> v84(constB39, 2)))),
% 218.73/141.34 inference(monotonicity,[status(thm)],[29272])).
% 218.73/141.34 tff(29274,plain,
% 218.73/141.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB40, 2) <=> v84(constB39, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 2) <=> v84(constB39, 2)))),
% 218.73/141.34 inference(transitivity,[status(thm)],[29273, 29269])).
% 218.73/141.34 tff(29275,plain,
% 218.73/141.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB40, 2) <=> v84(constB39, 2)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29276,plain,
% 218.73/141.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 2) <=> v84(constB39, 2))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29275, 29274])).
% 218.73/141.34 tff(29277,plain,
% 218.73/141.34 ($false),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29276, 29268, 29267])).
% 218.73/141.34 tff(29278,plain,((v84(constB40, 2) <=> v84(constB39, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B))))), inference(lemma,lemma(discharge,[]))).
% 218.73/141.34 tff(29279,plain,
% 218.73/141.34 (v84(constB40, 2) <=> v84(constB39, 2)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29278, 29266])).
% 218.73/141.34 tff(29280,plain,
% 218.73/141.34 ((~(v84(constB40, 2) <=> v84(constB39, 2))) | (~v84(constB40, 2)) | v84(constB39, 2)),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29281,plain,
% 218.73/141.34 (~v84(constB40, 2)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29280, 29279, 29254])).
% 218.73/141.34 tff(29282,plain,
% 218.73/141.34 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40))))))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29283,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40))))))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29284,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40)))))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29283, 29282])).
% 218.73/141.34 tff(29285,plain,
% 218.73/141.34 (v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40))))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29284, 29258, 14])).
% 218.73/141.34 tff(29286,plain,
% 218.73/141.34 ((~(v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40)))))) | v94(constB40) | ((~v95(constB40)) | (~v104(constB40)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29287,plain,
% 218.73/141.34 (v94(constB40) | ((~v95(constB40)) | (~v104(constB40)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29286, 29285])).
% 218.73/141.34 tff(29288,plain,
% 218.73/141.34 ((~v95(constB40)) | (~v104(constB40))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29287, 29255])).
% 218.73/141.34 tff(29289,plain,
% 218.73/141.34 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29290,plain,
% 218.73/141.34 (((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40)))))) <=> ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29291,plain,
% 218.73/141.34 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40)))))))),
% 218.73/141.34 inference(monotonicity,[status(thm)],[29290])).
% 218.73/141.34 tff(29292,plain,
% 218.73/141.34 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))),
% 218.73/141.34 inference(transitivity,[status(thm)],[29291, 29289])).
% 218.73/141.34 tff(29293,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40))))))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29294,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40)))))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29293, 29292])).
% 218.73/141.34 tff(29295,plain,
% 218.73/141.34 (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29294, 29258, 37])).
% 218.73/141.34 tff(29296,plain,
% 218.73/141.34 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40)))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29297,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29298,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29297, 29296])).
% 218.73/141.34 tff(29299,plain,
% 218.73/141.34 ((~v96(constB40)) <=> v98(constB40)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29298, 29258, 54])).
% 218.73/141.34 tff(29300,plain,
% 218.73/141.34 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39)))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29301,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29302,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29301, 29300])).
% 218.73/141.34 tff(29303,plain,
% 218.73/141.34 (v98(constB40) <=> v1(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29302, 29258, 68])).
% 218.73/141.34 tff(29304,plain,
% 218.73/141.34 ((~(v98(constB40) <=> v1(constB39))) | (~v98(constB40)) | v1(constB39)),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29305,plain,
% 218.73/141.34 ((~(v98(constB40) <=> v1(constB39))) | (~v98(constB40))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29304, 28888])).
% 218.73/141.34 tff(29306,plain,
% 218.73/141.34 (~v98(constB40)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29305, 29303])).
% 218.73/141.34 tff(29307,plain,
% 218.73/141.34 ((~((~v96(constB40)) <=> v98(constB40))) | v96(constB40) | v98(constB40)),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29308,plain,
% 218.73/141.34 (v96(constB40)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29307, 29306, 29299])).
% 218.73/141.34 tff(29309,plain,
% 218.73/141.34 (v1(constB40) <=> v1(constB40)),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29310,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40')).
% 218.73/141.34 tff(29311,plain,
% 218.73/141.34 (v1(constB40)),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29310, 29309])).
% 218.73/141.34 tff(29312,plain,
% 218.73/141.34 ((~((~v1(constB40)) | (~v96(constB40)))) | (~v1(constB40)) | (~v96(constB40))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29313,plain,
% 218.73/141.34 ((~((~v1(constB40)) | (~v96(constB40)))) | (~v96(constB40))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29312, 29311])).
% 218.73/141.34 tff(29314,plain,
% 218.73/141.34 (~((~v1(constB40)) | (~v96(constB40)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29313, 29308])).
% 218.73/141.34 tff(29315,plain,
% 218.73/141.34 ((~(v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40)))))) | v95(constB40) | ((~v1(constB40)) | (~v96(constB40)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29316,plain,
% 218.73/141.34 (v95(constB40)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29315, 29314, 29295])).
% 218.73/141.34 tff(29317,plain,
% 218.73/141.34 ((~((~v95(constB40)) | (~v104(constB40)))) | (~v95(constB40)) | (~v104(constB40))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29318,plain,
% 218.73/141.34 ((~((~v95(constB40)) | (~v104(constB40)))) | (~v104(constB40))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29317, 29316])).
% 218.73/141.34 tff(29319,plain,
% 218.73/141.34 (~v104(constB40)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29318, 29288])).
% 218.73/141.34 tff(29320,plain,
% 218.73/141.34 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39)))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29321,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29322,plain,
% 218.73/141.34 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29321, 29320])).
% 218.73/141.34 tff(29323,plain,
% 218.73/141.34 (v104(constB40) <=> v102(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29322, 29258, 101])).
% 218.73/141.34 tff(29324,plain,
% 218.73/141.34 ((~(v104(constB40) <=> v102(constB39))) | v104(constB40) | (~v102(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29325,plain,
% 218.73/141.34 (v104(constB40) | (~v102(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29324, 29323])).
% 218.73/141.34 tff(29326,plain,
% 218.73/141.34 (~v102(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29325, 29319])).
% 218.73/141.34 tff(29327,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB39) <=> (v105(constB39) | v106(constB39)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29328,plain,
% 218.73/141.34 (v102(constB39) <=> (v105(constB39) | v106(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29327, 115])).
% 218.73/141.34 tff(29329,plain,
% 218.73/141.34 ((~(v102(constB39) <=> (v105(constB39) | v106(constB39)))) | v102(constB39) | (~(v105(constB39) | v106(constB39)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29330,plain,
% 218.73/141.34 (v102(constB39) | (~(v105(constB39) | v106(constB39)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29329, 29328])).
% 218.73/141.34 tff(29331,plain,
% 218.73/141.34 (~(v105(constB39) | v106(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29330, 29326])).
% 218.73/141.34 tff(29332,plain,
% 218.73/141.34 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1))))))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29333,plain,
% 218.73/141.34 ((v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 1)) | (~v84(constB39, 0))))) <=> (v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1)))))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29334,plain,
% 218.73/141.34 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 1)) | (~v84(constB39, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1))))))),
% 218.73/141.34 inference(monotonicity,[status(thm)],[29333])).
% 218.73/141.34 tff(29335,plain,
% 218.73/141.34 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 1)) | (~v84(constB39, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1))))))),
% 218.73/141.34 inference(transitivity,[status(thm)],[29334, 29332])).
% 218.73/141.34 tff(29336,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 1)) | (~v84(constB39, 0)))))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29337,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1)))))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29336, 29335])).
% 218.73/141.34 tff(29338,plain,
% 218.73/141.34 (v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1))))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29337, 521])).
% 218.73/141.34 tff(29339,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB39) <=> (v111(constB39) | v116(constB39)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29340,plain,
% 218.73/141.34 (v110(constB39) <=> (v111(constB39) | v116(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29339, 265])).
% 218.73/141.34 tff(29341,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB39) <=> (v110(constB39) | v117(constB39)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29342,plain,
% 218.73/141.34 (v109(constB39) <=> (v110(constB39) | v117(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29341, 456])).
% 218.73/141.34 tff(29343,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB39) <=> (v109(constB39) | v118(constB39)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29344,plain,
% 218.73/141.34 (v108(constB39) <=> (v109(constB39) | v118(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29343, 428])).
% 218.73/141.34 tff(29345,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB39) <=> (v108(constB39) | v119(constB39)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29346,plain,
% 218.73/141.34 (v107(constB39) <=> (v108(constB39) | v119(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29345, 187])).
% 218.73/141.34 tff(29347,assumption,(~(v105(constB39) | v106(constB39))), introduced(assumption)).
% 218.73/141.34 tff(29348,plain,
% 218.73/141.34 ((v105(constB39) | v106(constB39)) | (~v106(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29349,plain,
% 218.73/141.34 (~v106(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29348, 29347])).
% 218.73/141.34 tff(29350,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB39) <=> (~((~v107(constB39)) | (~v120(constB39)))))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29351,plain,
% 218.73/141.34 (v106(constB39) <=> (~((~v107(constB39)) | (~v120(constB39))))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29350, 132])).
% 218.73/141.34 tff(29352,plain,
% 218.73/141.34 ((~(v106(constB39) <=> (~((~v107(constB39)) | (~v120(constB39)))))) | v106(constB39) | ((~v107(constB39)) | (~v120(constB39)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29353,plain,
% 218.73/141.34 (v106(constB39) | ((~v107(constB39)) | (~v120(constB39)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29352, 29351])).
% 218.73/141.34 tff(29354,plain,
% 218.73/141.34 ((~v107(constB39)) | (~v120(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29353, 29349])).
% 218.73/141.34 tff(29355,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB39)) <=> v105(constB39))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29356,plain,
% 218.73/141.34 ((~v120(constB39)) <=> v105(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29355, 144])).
% 218.73/141.34 tff(29357,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB39) <=> v26(constB39))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29358,plain,
% 218.73/141.34 (v105(constB39) <=> v26(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29357, 156])).
% 218.73/141.34 tff(29359,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29360,plain,
% 218.73/141.34 (~v26(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29359, 168])).
% 218.73/141.34 tff(29361,plain,
% 218.73/141.34 ((~(v105(constB39) <=> v26(constB39))) | (~v105(constB39)) | v26(constB39)),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29362,plain,
% 218.73/141.34 ((~(v105(constB39) <=> v26(constB39))) | (~v105(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29361, 29360])).
% 218.73/141.34 tff(29363,plain,
% 218.73/141.34 (~v105(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29362, 29358])).
% 218.73/141.34 tff(29364,plain,
% 218.73/141.34 ((~((~v120(constB39)) <=> v105(constB39))) | v120(constB39) | v105(constB39)),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29365,plain,
% 218.73/141.34 ((~((~v120(constB39)) <=> v105(constB39))) | v120(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29364, 29363])).
% 218.73/141.34 tff(29366,plain,
% 218.73/141.34 (v120(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29365, 29356])).
% 218.73/141.34 tff(29367,plain,
% 218.73/141.34 ((~((~v107(constB39)) | (~v120(constB39)))) | (~v107(constB39)) | (~v120(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29368,plain,
% 218.73/141.34 ((~((~v107(constB39)) | (~v120(constB39)))) | (~v107(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29367, 29366])).
% 218.73/141.34 tff(29369,plain,
% 218.73/141.34 (~v107(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29368, 29354])).
% 218.73/141.34 tff(29370,plain,
% 218.73/141.34 ((~(v107(constB39) <=> (v108(constB39) | v119(constB39)))) | v107(constB39) | (~(v108(constB39) | v119(constB39)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29371,plain,
% 218.73/141.34 ((~(v107(constB39) <=> (v108(constB39) | v119(constB39)))) | (~(v108(constB39) | v119(constB39)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29370, 29369])).
% 218.73/141.34 tff(29372,plain,
% 218.73/141.34 (~(v108(constB39) | v119(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29371, 29346])).
% 218.73/141.34 tff(29373,plain,
% 218.73/141.34 ((v108(constB39) | v119(constB39)) | (~v108(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29374,plain,
% 218.73/141.34 (~v108(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29373, 29372])).
% 218.73/141.34 tff(29375,plain,
% 218.73/141.34 ((~(v108(constB39) <=> (v109(constB39) | v118(constB39)))) | v108(constB39) | (~(v109(constB39) | v118(constB39)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29376,plain,
% 218.73/141.34 ((~(v108(constB39) <=> (v109(constB39) | v118(constB39)))) | (~(v109(constB39) | v118(constB39)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29375, 29374])).
% 218.73/141.34 tff(29377,plain,
% 218.73/141.34 (~(v109(constB39) | v118(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29376, 29344])).
% 218.73/141.34 tff(29378,plain,
% 218.73/141.34 ((v109(constB39) | v118(constB39)) | (~v109(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29379,plain,
% 218.73/141.34 (~v109(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29378, 29377])).
% 218.73/141.34 tff(29380,plain,
% 218.73/141.34 ((~(v109(constB39) <=> (v110(constB39) | v117(constB39)))) | v109(constB39) | (~(v110(constB39) | v117(constB39)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29381,plain,
% 218.73/141.34 ((~(v109(constB39) <=> (v110(constB39) | v117(constB39)))) | (~(v110(constB39) | v117(constB39)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29380, 29379])).
% 218.73/141.34 tff(29382,plain,
% 218.73/141.34 (~(v110(constB39) | v117(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29381, 29342])).
% 218.73/141.34 tff(29383,plain,
% 218.73/141.34 ((v110(constB39) | v117(constB39)) | (~v110(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29384,plain,
% 218.73/141.34 (~v110(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29383, 29382])).
% 218.73/141.34 tff(29385,plain,
% 218.73/141.34 ((~(v110(constB39) <=> (v111(constB39) | v116(constB39)))) | v110(constB39) | (~(v111(constB39) | v116(constB39)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29386,plain,
% 218.73/141.34 ((~(v110(constB39) <=> (v111(constB39) | v116(constB39)))) | (~(v111(constB39) | v116(constB39)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29385, 29384])).
% 218.73/141.34 tff(29387,plain,
% 218.73/141.34 (~(v111(constB39) | v116(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29386, 29340])).
% 218.73/141.34 tff(29388,plain,
% 218.73/141.34 ((v111(constB39) | v116(constB39)) | (~v116(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29389,plain,
% 218.73/141.34 (~v116(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29388, 29387])).
% 218.73/141.34 tff(29390,plain,
% 218.73/141.34 ((~(v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1)))))) | v116(constB39) | (v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29391,plain,
% 218.73/141.34 ((~(v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1)))))) | (v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29390, 29389])).
% 218.73/141.34 tff(29392,plain,
% 218.73/141.34 (v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29391, 29338])).
% 218.73/141.34 tff(29393,plain,
% 218.73/141.34 ((~(v102(constB39) <=> (v105(constB39) | v106(constB39)))) | (~v102(constB39)) | (v105(constB39) | v106(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29394,plain,
% 218.73/141.34 ((~v102(constB39)) | (v105(constB39) | v106(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29393, 29328])).
% 218.73/141.34 tff(29395,plain,
% 218.73/141.34 (~v102(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29394, 29347])).
% 218.73/141.34 tff(29396,plain,
% 218.73/141.34 ((~(v104(constB40) <=> v102(constB39))) | (~v104(constB40)) | v102(constB39)),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29397,plain,
% 218.73/141.34 ((~v104(constB40)) | v102(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29396, 29323])).
% 218.73/141.34 tff(29398,plain,
% 218.73/141.34 (~v104(constB40)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29397, 29395])).
% 218.73/141.34 tff(29399,plain,
% 218.73/141.34 (((~v95(constB40)) | (~v104(constB40))) | v104(constB40)),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29400,plain,
% 218.73/141.34 ((~v95(constB40)) | (~v104(constB40))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29399, 29398])).
% 218.73/141.34 tff(29401,plain,
% 218.73/141.34 ((~(v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40)))))) | (~v94(constB40)) | (~((~v95(constB40)) | (~v104(constB40))))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29402,plain,
% 218.73/141.34 ((~v94(constB40)) | (~((~v95(constB40)) | (~v104(constB40))))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29401, 29285])).
% 218.73/141.34 tff(29403,plain,
% 218.73/141.34 (~v94(constB40)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29402, 29400])).
% 218.73/141.34 tff(29404,plain,
% 218.73/141.34 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29265, 29403])).
% 218.73/141.34 tff(29405,plain,
% 218.73/141.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 0) <=> v84(constB39, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 0) <=> v84(constB39, 0)))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29406,plain,
% 218.73/141.34 (($false | $false | (v84(constB40, 0) <=> v84(constB39, 0))) <=> (v84(constB40, 0) <=> v84(constB39, 0))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29407,plain,
% 218.73/141.34 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB40, 0) <=> v84(constB39, 0))) <=> ($false | $false | (v84(constB40, 0) <=> v84(constB39, 0)))),
% 218.73/141.34 inference(monotonicity,[status(thm)],[250, 249])).
% 218.73/141.34 tff(29408,plain,
% 218.73/141.34 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB40, 0) <=> v84(constB39, 0))) <=> (v84(constB40, 0) <=> v84(constB39, 0))),
% 218.73/141.34 inference(transitivity,[status(thm)],[29407, 29406])).
% 218.73/141.34 tff(29409,plain,
% 218.73/141.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB40, 0) <=> v84(constB39, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 0) <=> v84(constB39, 0)))),
% 218.73/141.34 inference(monotonicity,[status(thm)],[29408])).
% 218.73/141.34 tff(29410,plain,
% 218.73/141.34 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB40, 0) <=> v84(constB39, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 0) <=> v84(constB39, 0)))),
% 218.73/141.34 inference(transitivity,[status(thm)],[29409, 29405])).
% 218.73/141.34 tff(29411,plain,
% 218.73/141.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB40, 0) <=> v84(constB39, 0)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29412,plain,
% 218.73/141.34 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 0) <=> v84(constB39, 0))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29411, 29410])).
% 218.73/141.34 tff(29413,plain,
% 218.73/141.34 (v84(constB40, 0) <=> v84(constB39, 0)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29412, 29404])).
% 218.73/141.34 tff(29414,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2))))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29415,plain,
% 218.73/141.34 (v113(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29414, 597])).
% 218.73/141.34 tff(29416,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB39) <=> (v113(constB39) | v114(constB39)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29417,plain,
% 218.73/141.34 (v112(constB39) <=> (v113(constB39) | v114(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29416, 283])).
% 218.73/141.34 tff(29418,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB39) <=> (v112(constB39) | v115(constB39)))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29419,plain,
% 218.73/141.34 (v111(constB39) <=> (v112(constB39) | v115(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29418, 274])).
% 218.73/141.34 tff(29420,plain,
% 218.73/141.34 ((v111(constB39) | v116(constB39)) | (~v111(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29421,plain,
% 218.73/141.34 (~v111(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29420, 29387])).
% 218.73/141.34 tff(29422,plain,
% 218.73/141.34 ((~(v111(constB39) <=> (v112(constB39) | v115(constB39)))) | v111(constB39) | (~(v112(constB39) | v115(constB39)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29423,plain,
% 218.73/141.34 ((~(v111(constB39) <=> (v112(constB39) | v115(constB39)))) | (~(v112(constB39) | v115(constB39)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29422, 29421])).
% 218.73/141.34 tff(29424,plain,
% 218.73/141.34 (~(v112(constB39) | v115(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29423, 29419])).
% 218.73/141.34 tff(29425,plain,
% 218.73/141.34 ((v112(constB39) | v115(constB39)) | (~v112(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29426,plain,
% 218.73/141.34 (~v112(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29425, 29424])).
% 218.73/141.34 tff(29427,plain,
% 218.73/141.34 ((~(v112(constB39) <=> (v113(constB39) | v114(constB39)))) | v112(constB39) | (~(v113(constB39) | v114(constB39)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29428,plain,
% 218.73/141.34 ((~(v112(constB39) <=> (v113(constB39) | v114(constB39)))) | (~(v113(constB39) | v114(constB39)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29427, 29426])).
% 218.73/141.34 tff(29429,plain,
% 218.73/141.34 (~(v113(constB39) | v114(constB39))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29428, 29417])).
% 218.73/141.34 tff(29430,plain,
% 218.73/141.34 ((v113(constB39) | v114(constB39)) | (~v113(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29431,plain,
% 218.73/141.34 (~v113(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29430, 29429])).
% 218.73/141.34 tff(29432,plain,
% 218.73/141.34 ((~(v113(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2))))) | v113(constB39) | (v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29433,plain,
% 218.73/141.34 ((~(v113(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2))))) | (v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29432, 29431])).
% 218.73/141.34 tff(29434,plain,
% 218.73/141.34 (v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29433, 29415])).
% 218.73/141.34 tff(29435,plain,
% 218.73/141.34 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))))))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29436,plain,
% 218.73/141.34 ((v115(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 2) | (~v84(constB39, 1))))) <=> (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))),
% 218.73/141.34 inference(rewrite,[status(thm)],[])).
% 218.73/141.34 tff(29437,plain,
% 218.73/141.34 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 2) | (~v84(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))))))),
% 218.73/141.34 inference(monotonicity,[status(thm)],[29436])).
% 218.73/141.34 tff(29438,plain,
% 218.73/141.34 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 2) | (~v84(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))))))),
% 218.73/141.34 inference(transitivity,[status(thm)],[29437, 29435])).
% 218.73/141.34 tff(29439,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 2) | (~v84(constB39, 1)))))),
% 218.73/141.34 inference(quant_inst,[status(thm)],[])).
% 218.73/141.34 tff(29440,plain,
% 218.73/141.34 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))),
% 218.73/141.34 inference(modus_ponens,[status(thm)],[29439, 29438])).
% 218.73/141.34 tff(29441,plain,
% 218.73/141.34 (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29440, 622])).
% 218.73/141.34 tff(29442,plain,
% 218.73/141.34 ((v112(constB39) | v115(constB39)) | (~v115(constB39))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29443,plain,
% 218.73/141.34 (~v115(constB39)),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29442, 29424])).
% 218.73/141.34 tff(29444,plain,
% 218.73/141.34 ((~(v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))) | v115(constB39) | (v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))),
% 218.73/141.34 inference(tautology,[status(thm)],[])).
% 218.73/141.34 tff(29445,plain,
% 218.73/141.34 ((~(v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))) | (v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29444, 29443])).
% 218.73/141.34 tff(29446,plain,
% 218.73/141.34 (v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))),
% 218.73/141.34 inference(unit_resolution,[status(thm)],[29445, 29441])).
% 218.73/141.35 tff(29447,plain,
% 218.73/141.35 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))))))),
% 218.73/141.35 inference(rewrite,[status(thm)],[])).
% 218.73/141.35 tff(29448,plain,
% 218.73/141.35 ((v117(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | (~v84(constB39, 2))))) <=> (v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))))),
% 218.73/141.35 inference(rewrite,[status(thm)],[])).
% 218.73/141.35 tff(29449,plain,
% 218.73/141.35 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | (~v84(constB39, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))))))),
% 218.73/141.35 inference(monotonicity,[status(thm)],[29448])).
% 218.73/141.35 tff(29450,plain,
% 218.73/141.35 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | (~v84(constB39, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))))))),
% 218.73/141.35 inference(transitivity,[status(thm)],[29449, 29447])).
% 218.73/141.35 tff(29451,plain,
% 218.73/141.35 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | (~v84(constB39, 2)))))),
% 218.73/141.35 inference(quant_inst,[status(thm)],[])).
% 218.73/141.35 tff(29452,plain,
% 218.73/141.35 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))))),
% 218.73/141.35 inference(modus_ponens,[status(thm)],[29451, 29450])).
% 218.73/141.35 tff(29453,plain,
% 218.73/141.35 (v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))))),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29452, 656])).
% 218.73/141.35 tff(29454,plain,
% 218.73/141.35 ((v110(constB39) | v117(constB39)) | (~v117(constB39))),
% 218.73/141.35 inference(tautology,[status(thm)],[])).
% 218.73/141.35 tff(29455,plain,
% 218.73/141.35 (~v117(constB39)),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29454, 29382])).
% 218.73/141.35 tff(29456,plain,
% 218.73/141.35 ((~(v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))))) | v117(constB39) | (v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))),
% 218.73/141.35 inference(tautology,[status(thm)],[])).
% 218.73/141.35 tff(29457,plain,
% 218.73/141.35 ((~(v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))))) | (v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29456, 29455])).
% 218.73/141.35 tff(29458,plain,
% 218.73/141.35 (v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29457, 29453])).
% 218.73/141.35 tff(29459,plain,
% 218.73/141.35 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1))))))),
% 218.73/141.35 inference(rewrite,[status(thm)],[])).
% 218.73/141.35 tff(29460,plain,
% 218.73/141.35 ((v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 1)) | (~v84(constB39, 2))))) <=> (v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))))),
% 218.73/141.35 inference(rewrite,[status(thm)],[])).
% 218.73/141.35 tff(29461,plain,
% 218.73/141.35 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 1)) | (~v84(constB39, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1))))))),
% 218.73/141.35 inference(monotonicity,[status(thm)],[29460])).
% 218.73/141.35 tff(29462,plain,
% 218.73/141.35 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 1)) | (~v84(constB39, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1))))))),
% 218.73/141.35 inference(transitivity,[status(thm)],[29461, 29459])).
% 218.73/141.35 tff(29463,plain,
% 218.73/141.35 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 1)) | (~v84(constB39, 2)))))),
% 218.73/141.35 inference(quant_inst,[status(thm)],[])).
% 218.73/141.35 tff(29464,plain,
% 218.73/141.35 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))))),
% 218.73/141.35 inference(modus_ponens,[status(thm)],[29463, 29462])).
% 218.73/141.35 tff(29465,plain,
% 218.73/141.35 (v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1))))),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29464, 318])).
% 218.73/141.35 tff(29466,plain,
% 218.73/141.35 ((v108(constB39) | v119(constB39)) | (~v119(constB39))),
% 218.73/141.35 inference(tautology,[status(thm)],[])).
% 218.73/141.35 tff(29467,plain,
% 218.73/141.35 (~v119(constB39)),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29466, 29372])).
% 218.73/141.35 tff(29468,plain,
% 218.73/141.35 ((~(v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))))) | v119(constB39) | (v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))),
% 218.73/141.35 inference(tautology,[status(thm)],[])).
% 218.73/141.35 tff(29469,plain,
% 218.73/141.35 ((~(v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))))) | (v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29468, 29467])).
% 218.73/141.35 tff(29470,plain,
% 218.73/141.35 (v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1))),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29469, 29465])).
% 218.73/141.35 tff(29471,assumption,(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1))), introduced(assumption)).
% 218.73/141.35 tff(29472,plain,
% 218.73/141.35 (v84(constB40, 2) <=> v84(constB39, 2)),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29276, 29268])).
% 218.73/141.35 tff(29473,assumption,(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)), introduced(assumption)).
% 218.73/141.35 tff(29474,assumption,(~v84(constB40, 0)), introduced(assumption)).
% 218.73/141.35 tff(29475,assumption,(~v84(constB40, 2)), introduced(assumption)).
% 218.73/141.35 tff(29476,assumption,(~v84(constB39, 1)), introduced(assumption)).
% 218.73/141.35 tff(29477,plain,
% 218.73/141.35 ((~(v84(constB40, 2) <=> v84(constB39, 2))) | v84(constB40, 2) | (~v84(constB39, 2))),
% 218.73/141.35 inference(tautology,[status(thm)],[])).
% 218.73/141.35 tff(29478,plain,
% 218.73/141.35 ((~(v84(constB40, 2) <=> v84(constB39, 2))) | (~v84(constB39, 2))),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29477, 29475])).
% 218.73/141.35 tff(29479,plain,
% 218.73/141.35 (~v84(constB39, 2)),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29478, 29472])).
% 218.73/141.35 tff(29480,plain,
% 218.73/141.35 (v84(constB40, 0) <=> v84(constB39, 0)),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29412, 29268])).
% 218.73/141.35 tff(29481,plain,
% 218.73/141.35 ((~(v84(constB40, 0) <=> v84(constB39, 0))) | v84(constB40, 0) | (~v84(constB39, 0))),
% 218.73/141.35 inference(tautology,[status(thm)],[])).
% 218.73/141.35 tff(29482,plain,
% 218.73/141.35 ((~(v84(constB40, 0) <=> v84(constB39, 0))) | (~v84(constB39, 0))),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29481, 29474])).
% 218.73/141.35 tff(29483,plain,
% 218.73/141.35 (~v84(constB39, 0)),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29482, 29480])).
% 218.73/141.35 tff(29484,plain,
% 218.73/141.35 ((~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2))) | v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)),
% 218.73/141.35 inference(tautology,[status(thm)],[])).
% 218.73/141.35 tff(29485,plain,
% 218.73/141.35 ($false),
% 218.73/141.35 inference(unit_resolution,[status(thm)],[29484, 29483, 29479, 29476, 29473])).
% 218.81/141.35 tff(29486,plain,(v84(constB39, 1) | (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2))) | v84(constB40, 0) | v84(constB40, 2) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B))))), inference(lemma,lemma(discharge,[]))).
% 218.81/141.35 tff(29487,plain,
% 218.81/141.35 (v84(constB39, 1)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29486, 29475, 29474, 29473, 29268])).
% 218.81/141.35 tff(29488,plain,
% 218.81/141.35 ($false),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29248, 29479, 29483, 29487, 29127])).
% 218.81/141.35 tff(29489,plain,(v84(constB40, 2) | (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))) | v84(constB40, 0) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.81/141.35 tff(29490,plain,
% 218.81/141.35 (v84(constB40, 2)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29489, 29474, 29127, 29268, 29473])).
% 218.81/141.35 tff(29491,plain,
% 218.81/141.35 ((~(v84(constB40, 2) <=> v84(constB39, 2))) | v84(constB39, 2)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29280, 29490])).
% 218.81/141.35 tff(29492,plain,
% 218.81/141.35 (v84(constB39, 2)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29491, 29472])).
% 218.81/141.35 tff(29493,assumption,(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))), introduced(assumption)).
% 218.81/141.35 tff(29494,plain,
% 218.81/141.35 ((~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))) | v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29495,plain,
% 218.81/141.35 (v84(constB39, 1)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29494, 29483, 29492, 29493])).
% 218.81/141.35 tff(29496,plain,
% 218.81/141.35 ((~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))) | v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1))),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29497,plain,
% 218.81/141.35 ($false),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29496, 29495, 29483, 29492, 29471])).
% 218.81/141.35 tff(29498,plain,(v84(constB40, 0) | (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))) | (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))) | (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.81/141.35 tff(29499,plain,
% 218.81/141.35 (v84(constB40, 0)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29498, 29470, 29458, 29404, 29446, 29434])).
% 218.81/141.35 tff(29500,plain,
% 218.81/141.35 ((~(v84(constB40, 0) <=> v84(constB39, 0))) | (~v84(constB40, 0)) | v84(constB39, 0)),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29501,plain,
% 218.81/141.35 ((~(v84(constB40, 0) <=> v84(constB39, 0))) | v84(constB39, 0)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29500, 29499])).
% 218.81/141.35 tff(29502,plain,
% 218.81/141.35 (v84(constB39, 0)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29501, 29413])).
% 218.81/141.35 tff(29503,plain,
% 218.81/141.35 (v84(constB40, 2) <=> v84(constB39, 2)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29278, 29404])).
% 218.81/141.35 tff(29504,plain,
% 218.81/141.35 (~v84(constB39, 2)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29477, 29475, 29503])).
% 218.81/141.35 tff(29505,assumption,(~(v84(constB40, 1) <=> v84(constB39, 1))), introduced(assumption)).
% 218.81/141.35 tff(29506,plain,
% 218.81/141.35 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 1) <=> v84(constB39, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 1) <=> v84(constB39, 1)))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29507,plain,
% 218.81/141.35 (($false | $false | (v84(constB40, 1) <=> v84(constB39, 1))) <=> (v84(constB40, 1) <=> v84(constB39, 1))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29508,plain,
% 218.81/141.35 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB40, 1) <=> v84(constB39, 1))) <=> ($false | $false | (v84(constB40, 1) <=> v84(constB39, 1)))),
% 218.81/141.35 inference(monotonicity,[status(thm)],[402, 401])).
% 218.81/141.35 tff(29509,plain,
% 218.81/141.35 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB40, 1) <=> v84(constB39, 1))) <=> (v84(constB40, 1) <=> v84(constB39, 1))),
% 218.81/141.35 inference(transitivity,[status(thm)],[29508, 29507])).
% 218.81/141.35 tff(29510,plain,
% 218.81/141.35 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB40, 1) <=> v84(constB39, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 1) <=> v84(constB39, 1)))),
% 218.81/141.35 inference(monotonicity,[status(thm)],[29509])).
% 218.81/141.35 tff(29511,plain,
% 218.81/141.35 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB40, 1) <=> v84(constB39, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 1) <=> v84(constB39, 1)))),
% 218.81/141.35 inference(transitivity,[status(thm)],[29510, 29506])).
% 218.81/141.35 tff(29512,plain,
% 218.81/141.35 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB40, 1) <=> v84(constB39, 1)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29513,plain,
% 218.81/141.35 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B)))) | (v84(constB40, 1) <=> v84(constB39, 1))),
% 218.81/141.35 inference(modus_ponens,[status(thm)],[29512, 29511])).
% 218.81/141.35 tff(29514,plain,
% 218.81/141.35 ($false),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29513, 29268, 29505])).
% 218.81/141.35 tff(29515,plain,((v84(constB40, 1) <=> v84(constB39, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB40, B) <=> v84(constB39, B))))), inference(lemma,lemma(discharge,[]))).
% 218.81/141.35 tff(29516,plain,
% 218.81/141.35 (v84(constB40, 1) <=> v84(constB39, 1)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29515, 29404])).
% 218.81/141.35 tff(29517,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0)))))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29518,plain,
% 218.81/141.35 (v114(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0))))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29517, 298])).
% 218.81/141.35 tff(29519,plain,
% 218.81/141.35 (v84(constB40, 2) <=> v84(constB39, 2)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29276, 29404])).
% 218.81/141.35 tff(29520,plain,
% 218.81/141.35 (~v84(constB39, 2)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29478, 29519])).
% 218.81/141.35 tff(29521,assumption,(v84(constB40, 0)), introduced(assumption)).
% 218.81/141.35 tff(29522,plain,
% 218.81/141.35 ((~(v84(constB40, 0) <=> v84(constB39, 0))) | v84(constB39, 0)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29500, 29521])).
% 218.81/141.35 tff(29523,plain,
% 218.81/141.35 (v84(constB39, 0)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29522, 29413])).
% 218.81/141.35 tff(29524,plain,
% 218.81/141.35 (v84(constB40, 1) <=> v84(constB39, 1)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29513, 29404])).
% 218.81/141.35 tff(29525,assumption,(~v84(constB40, 1)), introduced(assumption)).
% 218.81/141.35 tff(29526,plain,
% 218.81/141.35 ((~(v84(constB40, 1) <=> v84(constB39, 1))) | v84(constB40, 1) | (~v84(constB39, 1))),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29527,plain,
% 218.81/141.35 ((~(v84(constB40, 1) <=> v84(constB39, 1))) | (~v84(constB39, 1))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29526, 29525])).
% 218.81/141.35 tff(29528,plain,
% 218.81/141.35 (~v84(constB39, 1)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29527, 29524])).
% 218.81/141.35 tff(29529,plain,
% 218.81/141.35 ((~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0)))) | v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0))),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29530,plain,
% 218.81/141.35 (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0)))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29529, 29528, 29523, 29520])).
% 218.81/141.35 tff(29531,plain,
% 218.81/141.35 ((~(v114(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0)))))) | v114(constB39) | (v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0)))),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29532,plain,
% 218.81/141.35 ((~(v114(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0)))))) | v114(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29531, 29530])).
% 218.81/141.35 tff(29533,plain,
% 218.81/141.35 (v114(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29532, 29518])).
% 218.81/141.35 tff(29534,plain,
% 218.81/141.35 ((v113(constB39) | v114(constB39)) | (~v114(constB39))),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29535,plain,
% 218.81/141.35 (v113(constB39) | v114(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29534, 29533])).
% 218.81/141.35 tff(29536,plain,
% 218.81/141.35 ((~(v112(constB39) <=> (v113(constB39) | v114(constB39)))) | v112(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29427, 29535])).
% 218.81/141.35 tff(29537,plain,
% 218.81/141.35 (v112(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29536, 29417])).
% 218.81/141.35 tff(29538,plain,
% 218.81/141.35 (v112(constB39) | v115(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29425, 29537])).
% 218.81/141.35 tff(29539,plain,
% 218.81/141.35 (v111(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29422, 29538, 29419])).
% 218.81/141.35 tff(29540,plain,
% 218.81/141.35 (~(v111(constB39) | v116(constB39))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29385, 29384, 29340])).
% 218.81/141.35 tff(29541,plain,
% 218.81/141.35 ($false),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29420, 29540, 29539])).
% 218.81/141.35 tff(29542,plain,((v105(constB39) | v106(constB39)) | (~v84(constB40, 0)) | v84(constB40, 1) | v84(constB40, 2)), inference(lemma,lemma(discharge,[]))).
% 218.81/141.35 tff(29543,plain,
% 218.81/141.35 (v84(constB40, 1)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29542, 29475, 29347, 29499])).
% 218.81/141.35 tff(29544,plain,
% 218.81/141.35 ((~(v84(constB40, 1) <=> v84(constB39, 1))) | (~v84(constB40, 1)) | v84(constB39, 1)),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29545,plain,
% 218.81/141.35 (v84(constB39, 1)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29544, 29543, 29516])).
% 218.81/141.35 tff(29546,plain,
% 218.81/141.35 ((~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1)))) | v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1))),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29547,plain,
% 218.81/141.35 ($false),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29546, 29545, 29504, 29502, 29392])).
% 218.81/141.35 tff(29548,plain,(v84(constB40, 2) | (v105(constB39) | v106(constB39))), inference(lemma,lemma(discharge,[]))).
% 218.81/141.35 tff(29549,plain,
% 218.81/141.35 ($false),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29548, 29331, 29281])).
% 218.81/141.35 tff(29550,plain,(v94(constB40) | v84(constB39, 2)), inference(lemma,lemma(discharge,[]))).
% 218.81/141.35 tff(29551,plain,
% 218.81/141.35 (v94(constB40)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29550, 29253])).
% 218.81/141.35 tff(29552,plain,
% 218.81/141.35 (~((~v95(constB40)) | (~v104(constB40)))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29402, 29551])).
% 218.81/141.35 tff(29553,plain,
% 218.81/141.35 (v104(constB40)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29399, 29552])).
% 218.81/141.35 tff(29554,plain,
% 218.81/141.35 (v102(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29397, 29553])).
% 218.81/141.35 tff(29555,plain,
% 218.81/141.35 (v105(constB39) | v106(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29394, 29554])).
% 218.81/141.35 tff(29556,plain,
% 218.81/141.35 ((~(v105(constB39) | v106(constB39))) | v105(constB39) | v106(constB39)),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29557,plain,
% 218.81/141.35 ((~(v105(constB39) | v106(constB39))) | v106(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29556, 29363])).
% 218.81/141.35 tff(29558,plain,
% 218.81/141.35 (v106(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29557, 29555])).
% 218.81/141.35 tff(29559,plain,
% 218.81/141.35 ((~(v106(constB39) <=> (~((~v107(constB39)) | (~v120(constB39)))))) | (~v106(constB39)) | (~((~v107(constB39)) | (~v120(constB39))))),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29560,plain,
% 218.81/141.35 ((~v106(constB39)) | (~((~v107(constB39)) | (~v120(constB39))))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29559, 29351])).
% 218.81/141.35 tff(29561,plain,
% 218.81/141.35 (~((~v107(constB39)) | (~v120(constB39)))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29560, 29558])).
% 218.81/141.35 tff(29562,plain,
% 218.81/141.35 (((~v107(constB39)) | (~v120(constB39))) | v107(constB39)),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29563,plain,
% 218.81/141.35 (v107(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29562, 29561])).
% 218.81/141.35 tff(29564,assumption,(~(v107(constB39) <=> (v108(constB39) | v119(constB39)))), introduced(assumption)).
% 218.81/141.35 tff(29565,plain,
% 218.81/141.35 ($false),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29345, 187, 29564])).
% 218.81/141.35 tff(29566,plain,(v107(constB39) <=> (v108(constB39) | v119(constB39))), inference(lemma,lemma(discharge,[]))).
% 218.81/141.35 tff(29567,plain,
% 218.81/141.35 ((~(v107(constB39) <=> (v108(constB39) | v119(constB39)))) | (~v107(constB39)) | (v108(constB39) | v119(constB39))),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29568,plain,
% 218.81/141.35 ((~v107(constB39)) | (v108(constB39) | v119(constB39))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29567, 29566])).
% 218.81/141.35 tff(29569,plain,
% 218.81/141.35 (v108(constB39) | v119(constB39)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29568, 29563])).
% 218.81/141.35 tff(29570,assumption,(v108(constB39) | v119(constB39)), introduced(assumption)).
% 218.81/141.35 tff(29571,plain,
% 218.81/141.35 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))))))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29572,plain,
% 218.81/141.35 ((v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 1)) | (~v84(constB33, 2))))) <=> (v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29573,plain,
% 218.81/141.35 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 1)) | (~v84(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))))))),
% 218.81/141.35 inference(monotonicity,[status(thm)],[29572])).
% 218.81/141.35 tff(29574,plain,
% 218.81/141.35 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 1)) | (~v84(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))))))),
% 218.81/141.35 inference(transitivity,[status(thm)],[29573, 29571])).
% 218.81/141.35 tff(29575,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 1)) | (~v84(constB33, 2)))))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29576,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))))),
% 218.81/141.35 inference(modus_ponens,[status(thm)],[29575, 29574])).
% 218.81/141.35 tff(29577,plain,
% 218.81/141.35 (v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29576, 318])).
% 218.81/141.35 tff(29578,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB31) <=> (v108(constB31) | v119(constB31)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29579,plain,
% 218.81/141.35 (v107(constB31) <=> (v108(constB31) | v119(constB31))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29578, 187])).
% 218.81/141.35 tff(29580,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB31) <=> (v109(constB31) | v118(constB31)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29581,plain,
% 218.81/141.35 (v108(constB31) <=> (v109(constB31) | v118(constB31))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29580, 428])).
% 218.81/141.35 tff(29582,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB31) <=> (v110(constB31) | v117(constB31)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29583,plain,
% 218.81/141.35 (v109(constB31) <=> (v110(constB31) | v117(constB31))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29582, 456])).
% 218.81/141.35 tff(29584,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB31) <=> (v111(constB31) | v116(constB31)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29585,plain,
% 218.81/141.35 (v110(constB31) <=> (v111(constB31) | v116(constB31))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29584, 265])).
% 218.81/141.35 tff(29586,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB31) <=> (v112(constB31) | v115(constB31)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29587,plain,
% 218.81/141.35 (v111(constB31) <=> (v112(constB31) | v115(constB31))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29586, 274])).
% 218.81/141.35 tff(29588,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB31) <=> (v113(constB31) | v114(constB31)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29589,plain,
% 218.81/141.35 (v112(constB31) <=> (v113(constB31) | v114(constB31))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29588, 283])).
% 218.81/141.35 tff(29590,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29591,plain,
% 218.81/141.35 (v114(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29590, 298])).
% 218.81/141.35 tff(29592,plain,
% 218.81/141.35 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29593,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30')).
% 218.81/141.35 tff(29594,plain,
% 218.81/141.35 (nextState(constB30, constB31)),
% 218.81/141.35 inference(modus_ponens,[status(thm)],[29593, 29592])).
% 218.81/141.35 tff(29595,plain,
% 218.81/141.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31))))))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29596,plain,
% 218.81/141.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31))))))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29597,plain,
% 218.81/141.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31)))))),
% 218.81/141.35 inference(modus_ponens,[status(thm)],[29596, 29595])).
% 218.81/141.35 tff(29598,plain,
% 218.81/141.35 (v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31))))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29597, 29594, 14])).
% 218.81/141.35 tff(29599,plain,
% 218.81/141.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29600,plain,
% 218.81/141.35 (((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31)))))) <=> ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29601,plain,
% 218.81/141.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))))),
% 218.81/141.35 inference(monotonicity,[status(thm)],[29600])).
% 218.81/141.35 tff(29602,plain,
% 218.81/141.35 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))),
% 218.81/141.35 inference(transitivity,[status(thm)],[29601, 29599])).
% 218.81/141.35 tff(29603,plain,
% 218.81/141.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31))))))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29604,plain,
% 218.81/141.35 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))),
% 218.81/141.35 inference(modus_ponens,[status(thm)],[29603, 29602])).
% 218.81/141.35 tff(29605,plain,
% 218.81/141.35 (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29604, 29594, 37])).
% 218.81/141.35 tff(29606,plain,
% 218.81/141.35 ((~v1(constB31)) <=> (~v1(constB31))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29607,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31')).
% 218.81/141.35 tff(29608,plain,
% 218.81/141.35 (~v1(constB31)),
% 218.81/141.35 inference(modus_ponens,[status(thm)],[29607, 29606])).
% 218.81/141.35 tff(29609,plain,
% 218.81/141.35 (((~v1(constB31)) | (~v96(constB31))) | v1(constB31)),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29610,plain,
% 218.81/141.35 ((~v1(constB31)) | (~v96(constB31))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29609, 29608])).
% 218.81/141.35 tff(29611,plain,
% 218.81/141.35 ((~(v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))) | (~v95(constB31)) | (~((~v1(constB31)) | (~v96(constB31))))),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29612,plain,
% 218.81/141.35 ((~(v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))) | (~v95(constB31))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29611, 29610])).
% 218.81/141.35 tff(29613,plain,
% 218.81/141.35 (~v95(constB31)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29612, 29605])).
% 218.81/141.35 tff(29614,plain,
% 218.81/141.35 (((~v95(constB31)) | (~v104(constB31))) | v95(constB31)),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29615,plain,
% 218.81/141.35 ((~v95(constB31)) | (~v104(constB31))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29614, 29613])).
% 218.81/141.35 tff(29616,plain,
% 218.81/141.35 ((~(v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31)))))) | (~v94(constB31)) | (~((~v95(constB31)) | (~v104(constB31))))),
% 218.81/141.35 inference(tautology,[status(thm)],[])).
% 218.81/141.35 tff(29617,plain,
% 218.81/141.35 (~v94(constB31)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29616, 29615, 29598])).
% 218.81/141.35 tff(29618,plain,
% 218.81/141.35 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB31) | (~nextState(constB30, constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB31) | (~nextState(constB30, constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B))))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29619,plain,
% 218.81/141.35 ((v94(constB31) | (~nextState(constB30, constB31)) | ![B: $int] : ((v84(constB31, B) <=> v84(constB30, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB31) | (~nextState(constB30, constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B))))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29620,plain,
% 218.81/141.35 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB31) | (~nextState(constB30, constB31)) | ![B: $int] : ((v84(constB31, B) <=> v84(constB30, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB31) | (~nextState(constB30, constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))))),
% 218.81/141.35 inference(monotonicity,[status(thm)],[29619])).
% 218.81/141.35 tff(29621,plain,
% 218.81/141.35 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB31) | (~nextState(constB30, constB31)) | ![B: $int] : ((v84(constB31, B) <=> v84(constB30, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB31) | (~nextState(constB30, constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B))))),
% 218.81/141.35 inference(transitivity,[status(thm)],[29620, 29618])).
% 218.81/141.35 tff(29622,plain,
% 218.81/141.35 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB31) | (~nextState(constB30, constB31)) | ![B: $int] : ((v84(constB31, B) <=> v84(constB30, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29623,plain,
% 218.81/141.35 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB31) | (~nextState(constB30, constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))),
% 218.81/141.35 inference(modus_ponens,[status(thm)],[29622, 29621])).
% 218.81/141.35 tff(29624,plain,
% 218.81/141.35 (v94(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29623, 29594, 235])).
% 218.81/141.35 tff(29625,plain,
% 218.81/141.35 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29624, 29617])).
% 218.81/141.35 tff(29626,plain,
% 218.81/141.35 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 1) <=> v84(constB30, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 1) <=> v84(constB30, 1)))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29627,plain,
% 218.81/141.35 (($false | $false | (v84(constB31, 1) <=> v84(constB30, 1))) <=> (v84(constB31, 1) <=> v84(constB30, 1))),
% 218.81/141.35 inference(rewrite,[status(thm)],[])).
% 218.81/141.35 tff(29628,plain,
% 218.81/141.35 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB31, 1) <=> v84(constB30, 1))) <=> ($false | $false | (v84(constB31, 1) <=> v84(constB30, 1)))),
% 218.81/141.35 inference(monotonicity,[status(thm)],[402, 401])).
% 218.81/141.35 tff(29629,plain,
% 218.81/141.35 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB31, 1) <=> v84(constB30, 1))) <=> (v84(constB31, 1) <=> v84(constB30, 1))),
% 218.81/141.35 inference(transitivity,[status(thm)],[29628, 29627])).
% 218.81/141.35 tff(29630,plain,
% 218.81/141.35 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB31, 1) <=> v84(constB30, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 1) <=> v84(constB30, 1)))),
% 218.81/141.35 inference(monotonicity,[status(thm)],[29629])).
% 218.81/141.35 tff(29631,plain,
% 218.81/141.35 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB31, 1) <=> v84(constB30, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 1) <=> v84(constB30, 1)))),
% 218.81/141.35 inference(transitivity,[status(thm)],[29630, 29626])).
% 218.81/141.35 tff(29632,plain,
% 218.81/141.35 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB31, 1) <=> v84(constB30, 1)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29633,plain,
% 218.81/141.35 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 1) <=> v84(constB30, 1))),
% 218.81/141.35 inference(modus_ponens,[status(thm)],[29632, 29631])).
% 218.81/141.35 tff(29634,plain,
% 218.81/141.35 (v84(constB31, 1) <=> v84(constB30, 1)),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29633, 29625])).
% 218.81/141.35 tff(29635,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB29) <=> (v108(constB29) | v119(constB29)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29636,plain,
% 218.81/141.35 (v107(constB29) <=> (v108(constB29) | v119(constB29))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29635, 187])).
% 218.81/141.35 tff(29637,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB29) <=> (v109(constB29) | v118(constB29)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29638,plain,
% 218.81/141.35 (v108(constB29) <=> (v109(constB29) | v118(constB29))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29637, 428])).
% 218.81/141.35 tff(29639,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB29) <=> (v110(constB29) | v117(constB29)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29640,plain,
% 218.81/141.35 (v109(constB29) <=> (v110(constB29) | v117(constB29))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29639, 456])).
% 218.81/141.35 tff(29641,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB29) <=> (v111(constB29) | v116(constB29)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29642,plain,
% 218.81/141.35 (v110(constB29) <=> (v111(constB29) | v116(constB29))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29641, 265])).
% 218.81/141.35 tff(29643,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB29) <=> (v112(constB29) | v115(constB29)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29644,plain,
% 218.81/141.35 (v111(constB29) <=> (v112(constB29) | v115(constB29))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29643, 274])).
% 218.81/141.35 tff(29645,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB29) <=> (v113(constB29) | v114(constB29)))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29646,plain,
% 218.81/141.35 (v112(constB29) <=> (v113(constB29) | v114(constB29))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29645, 283])).
% 218.81/141.35 tff(29647,plain,
% 218.81/141.35 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB29) <=> (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))))),
% 218.81/141.35 inference(quant_inst,[status(thm)],[])).
% 218.81/141.35 tff(29648,plain,
% 218.81/141.35 (v114(constB29) <=> (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))))),
% 218.81/141.35 inference(unit_resolution,[status(thm)],[29647, 298])).
% 218.81/141.35 tff(29649,plain,
% 218.81/141.35 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29650,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28')).
% 218.81/141.36 tff(29651,plain,
% 218.81/141.36 (nextState(constB28, constB29)),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29650, 29649])).
% 218.81/141.36 tff(29652,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29))))))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29653,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29))))))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29654,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29)))))),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29653, 29652])).
% 218.81/141.36 tff(29655,plain,
% 218.81/141.36 (v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29))))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29654, 29651, 14])).
% 218.81/141.36 tff(29656,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29657,plain,
% 218.81/141.36 (((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29)))))) <=> ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29658,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))))),
% 218.81/141.36 inference(monotonicity,[status(thm)],[29657])).
% 218.81/141.36 tff(29659,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))),
% 218.81/141.36 inference(transitivity,[status(thm)],[29658, 29656])).
% 218.81/141.36 tff(29660,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29))))))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29661,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29660, 29659])).
% 218.81/141.36 tff(29662,plain,
% 218.81/141.36 (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29661, 29651, 37])).
% 218.81/141.36 tff(29663,plain,
% 218.81/141.36 ((~v1(constB29)) <=> (~v1(constB29))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29664,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29')).
% 218.81/141.36 tff(29665,plain,
% 218.81/141.36 (~v1(constB29)),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29664, 29663])).
% 218.81/141.36 tff(29666,plain,
% 218.81/141.36 (((~v1(constB29)) | (~v96(constB29))) | v1(constB29)),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29667,plain,
% 218.81/141.36 ((~v1(constB29)) | (~v96(constB29))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29666, 29665])).
% 218.81/141.36 tff(29668,plain,
% 218.81/141.36 ((~(v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))) | (~v95(constB29)) | (~((~v1(constB29)) | (~v96(constB29))))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29669,plain,
% 218.81/141.36 ((~(v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))) | (~v95(constB29))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29668, 29667])).
% 218.81/141.36 tff(29670,plain,
% 218.81/141.36 (~v95(constB29)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29669, 29662])).
% 218.81/141.36 tff(29671,plain,
% 218.81/141.36 (((~v95(constB29)) | (~v104(constB29))) | v95(constB29)),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29672,plain,
% 218.81/141.36 ((~v95(constB29)) | (~v104(constB29))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29671, 29670])).
% 218.81/141.36 tff(29673,plain,
% 218.81/141.36 ((~(v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29)))))) | (~v94(constB29)) | (~((~v95(constB29)) | (~v104(constB29))))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29674,plain,
% 218.81/141.36 (~v94(constB29)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29673, 29672, 29655])).
% 218.81/141.36 tff(29675,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB29) | (~nextState(constB28, constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB29) | (~nextState(constB28, constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B))))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29676,plain,
% 218.81/141.36 ((v94(constB29) | (~nextState(constB28, constB29)) | ![B: $int] : ((v84(constB29, B) <=> v84(constB28, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB29) | (~nextState(constB28, constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B))))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29677,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB29) | (~nextState(constB28, constB29)) | ![B: $int] : ((v84(constB29, B) <=> v84(constB28, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB29) | (~nextState(constB28, constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))))),
% 218.81/141.36 inference(monotonicity,[status(thm)],[29676])).
% 218.81/141.36 tff(29678,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB29) | (~nextState(constB28, constB29)) | ![B: $int] : ((v84(constB29, B) <=> v84(constB28, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB29) | (~nextState(constB28, constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B))))),
% 218.81/141.36 inference(transitivity,[status(thm)],[29677, 29675])).
% 218.81/141.36 tff(29679,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB29) | (~nextState(constB28, constB29)) | ![B: $int] : ((v84(constB29, B) <=> v84(constB28, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29680,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB29) | (~nextState(constB28, constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29679, 29678])).
% 218.81/141.36 tff(29681,plain,
% 218.81/141.36 (v94(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29680, 29651, 235])).
% 218.81/141.36 tff(29682,plain,
% 218.81/141.36 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29681, 29674])).
% 218.81/141.36 tff(29683,plain,
% 218.81/141.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 1) <=> v84(constB28, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 1) <=> v84(constB28, 1)))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29684,plain,
% 218.81/141.36 (($false | $false | (v84(constB29, 1) <=> v84(constB28, 1))) <=> (v84(constB29, 1) <=> v84(constB28, 1))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29685,plain,
% 218.81/141.36 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB29, 1) <=> v84(constB28, 1))) <=> ($false | $false | (v84(constB29, 1) <=> v84(constB28, 1)))),
% 218.81/141.36 inference(monotonicity,[status(thm)],[402, 401])).
% 218.81/141.36 tff(29686,plain,
% 218.81/141.36 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB29, 1) <=> v84(constB28, 1))) <=> (v84(constB29, 1) <=> v84(constB28, 1))),
% 218.81/141.36 inference(transitivity,[status(thm)],[29685, 29684])).
% 218.81/141.36 tff(29687,plain,
% 218.81/141.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB29, 1) <=> v84(constB28, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 1) <=> v84(constB28, 1)))),
% 218.81/141.36 inference(monotonicity,[status(thm)],[29686])).
% 218.81/141.36 tff(29688,plain,
% 218.81/141.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB29, 1) <=> v84(constB28, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 1) <=> v84(constB28, 1)))),
% 218.81/141.36 inference(transitivity,[status(thm)],[29687, 29683])).
% 218.81/141.36 tff(29689,plain,
% 218.81/141.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB29, 1) <=> v84(constB28, 1)))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29690,plain,
% 218.81/141.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 1) <=> v84(constB28, 1))),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29689, 29688])).
% 218.81/141.36 tff(29691,plain,
% 218.81/141.36 (v84(constB29, 1) <=> v84(constB28, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29690, 29682])).
% 218.81/141.36 tff(29692,plain,
% 218.81/141.36 (~(v111(constB18) | v116(constB18))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[22586, 22525])).
% 218.81/141.36 tff(29693,plain,
% 218.81/141.36 (~v110(constB18)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[22566, 29692, 21543])).
% 218.81/141.36 tff(29694,plain,
% 218.81/141.36 (~(v110(constB18) | v117(constB18))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[22564, 29693])).
% 218.81/141.36 tff(29695,plain,
% 218.81/141.36 (~v109(constB18)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[22553, 29694, 21545])).
% 218.81/141.36 tff(29696,plain,
% 218.81/141.36 (~(v109(constB18) | v118(constB18))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[22551, 29695, 22537])).
% 218.81/141.36 tff(29697,plain,
% 218.81/141.36 (~v108(constB18)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[22549, 29696])).
% 218.81/141.36 tff(29698,plain,
% 218.81/141.36 (~(v108(constB18) | v119(constB18))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[22546, 29697, 22545])).
% 218.81/141.36 tff(29699,plain,
% 218.81/141.36 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29700,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24')).
% 218.81/141.36 tff(29701,plain,
% 218.81/141.36 (nextState(constB24, constB25)),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29700, 29699])).
% 218.81/141.36 tff(29702,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25))))))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29703,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25))))))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29704,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25)))))),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29703, 29702])).
% 218.81/141.36 tff(29705,plain,
% 218.81/141.36 (v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25))))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29704, 29701, 14])).
% 218.81/141.36 tff(29706,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29707,plain,
% 218.81/141.36 (((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25)))))) <=> ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29708,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))))),
% 218.81/141.36 inference(monotonicity,[status(thm)],[29707])).
% 218.81/141.36 tff(29709,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))),
% 218.81/141.36 inference(transitivity,[status(thm)],[29708, 29706])).
% 218.81/141.36 tff(29710,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25))))))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29711,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29710, 29709])).
% 218.81/141.36 tff(29712,plain,
% 218.81/141.36 (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29711, 29701, 37])).
% 218.81/141.36 tff(29713,plain,
% 218.81/141.36 ((~v1(constB25)) <=> (~v1(constB25))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29714,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25')).
% 218.81/141.36 tff(29715,plain,
% 218.81/141.36 (~v1(constB25)),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29714, 29713])).
% 218.81/141.36 tff(29716,plain,
% 218.81/141.36 (((~v1(constB25)) | (~v96(constB25))) | v1(constB25)),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29717,plain,
% 218.81/141.36 ((~v1(constB25)) | (~v96(constB25))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29716, 29715])).
% 218.81/141.36 tff(29718,plain,
% 218.81/141.36 ((~(v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))) | (~v95(constB25)) | (~((~v1(constB25)) | (~v96(constB25))))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29719,plain,
% 218.81/141.36 ((~(v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))) | (~v95(constB25))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29718, 29717])).
% 218.81/141.36 tff(29720,plain,
% 218.81/141.36 (~v95(constB25)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29719, 29712])).
% 218.81/141.36 tff(29721,plain,
% 218.81/141.36 (((~v95(constB25)) | (~v104(constB25))) | v95(constB25)),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29722,plain,
% 218.81/141.36 ((~v95(constB25)) | (~v104(constB25))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29721, 29720])).
% 218.81/141.36 tff(29723,plain,
% 218.81/141.36 ((~(v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25)))))) | (~v94(constB25)) | (~((~v95(constB25)) | (~v104(constB25))))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29724,plain,
% 218.81/141.36 (~v94(constB25)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29723, 29722, 29705])).
% 218.81/141.36 tff(29725,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB25) | (~nextState(constB24, constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB25) | (~nextState(constB24, constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B))))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29726,plain,
% 218.81/141.36 ((v94(constB25) | (~nextState(constB24, constB25)) | ![B: $int] : ((v84(constB25, B) <=> v84(constB24, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB25) | (~nextState(constB24, constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B))))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29727,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB25) | (~nextState(constB24, constB25)) | ![B: $int] : ((v84(constB25, B) <=> v84(constB24, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB25) | (~nextState(constB24, constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))))),
% 218.81/141.36 inference(monotonicity,[status(thm)],[29726])).
% 218.81/141.36 tff(29728,plain,
% 218.81/141.36 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB25) | (~nextState(constB24, constB25)) | ![B: $int] : ((v84(constB25, B) <=> v84(constB24, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB25) | (~nextState(constB24, constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B))))),
% 218.81/141.36 inference(transitivity,[status(thm)],[29727, 29725])).
% 218.81/141.36 tff(29729,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB25) | (~nextState(constB24, constB25)) | ![B: $int] : ((v84(constB25, B) <=> v84(constB24, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29730,plain,
% 218.81/141.36 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB25) | (~nextState(constB24, constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29729, 29728])).
% 218.81/141.36 tff(29731,plain,
% 218.81/141.36 (v94(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29730, 29701, 235])).
% 218.81/141.36 tff(29732,plain,
% 218.81/141.36 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29731, 29724])).
% 218.81/141.36 tff(29733,plain,
% 218.81/141.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 1) <=> v84(constB24, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 1) <=> v84(constB24, 1)))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29734,plain,
% 218.81/141.36 (($false | $false | (v84(constB25, 1) <=> v84(constB24, 1))) <=> (v84(constB25, 1) <=> v84(constB24, 1))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29735,plain,
% 218.81/141.36 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB25, 1) <=> v84(constB24, 1))) <=> ($false | $false | (v84(constB25, 1) <=> v84(constB24, 1)))),
% 218.81/141.36 inference(monotonicity,[status(thm)],[402, 401])).
% 218.81/141.36 tff(29736,plain,
% 218.81/141.36 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB25, 1) <=> v84(constB24, 1))) <=> (v84(constB25, 1) <=> v84(constB24, 1))),
% 218.81/141.36 inference(transitivity,[status(thm)],[29735, 29734])).
% 218.81/141.36 tff(29737,plain,
% 218.81/141.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB25, 1) <=> v84(constB24, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 1) <=> v84(constB24, 1)))),
% 218.81/141.36 inference(monotonicity,[status(thm)],[29736])).
% 218.81/141.36 tff(29738,plain,
% 218.81/141.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB25, 1) <=> v84(constB24, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 1) <=> v84(constB24, 1)))),
% 218.81/141.36 inference(transitivity,[status(thm)],[29737, 29733])).
% 218.81/141.36 tff(29739,plain,
% 218.81/141.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB25, 1) <=> v84(constB24, 1)))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29740,plain,
% 218.81/141.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 1) <=> v84(constB24, 1))),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29739, 29738])).
% 218.81/141.36 tff(29741,plain,
% 218.81/141.36 (v84(constB25, 1) <=> v84(constB24, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29740, 29732])).
% 218.81/141.36 tff(29742,plain,
% 218.81/141.36 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB23) <=> (v108(constB23) | v119(constB23)))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29743,plain,
% 218.81/141.36 (v107(constB23) <=> (v108(constB23) | v119(constB23))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29742, 187])).
% 218.81/141.36 tff(29744,plain,
% 218.81/141.36 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB23) <=> (v109(constB23) | v118(constB23)))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29745,plain,
% 218.81/141.36 (v108(constB23) <=> (v109(constB23) | v118(constB23))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29744, 428])).
% 218.81/141.36 tff(29746,plain,
% 218.81/141.36 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB23) <=> (v110(constB23) | v117(constB23)))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29747,plain,
% 218.81/141.36 (v109(constB23) <=> (v110(constB23) | v117(constB23))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29746, 456])).
% 218.81/141.36 tff(29748,plain,
% 218.81/141.36 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB23) <=> (v111(constB23) | v116(constB23)))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29749,plain,
% 218.81/141.36 (v110(constB23) <=> (v111(constB23) | v116(constB23))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29748, 265])).
% 218.81/141.36 tff(29750,plain,
% 218.81/141.36 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB23) <=> (v112(constB23) | v115(constB23)))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29751,plain,
% 218.81/141.36 (v111(constB23) <=> (v112(constB23) | v115(constB23))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29750, 274])).
% 218.81/141.36 tff(29752,plain,
% 218.81/141.36 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB23) <=> (v113(constB23) | v114(constB23)))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29753,plain,
% 218.81/141.36 (v112(constB23) <=> (v113(constB23) | v114(constB23))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29752, 283])).
% 218.81/141.36 tff(29754,plain,
% 218.81/141.36 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29755,plain,
% 218.81/141.36 (v114(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29754, 298])).
% 218.81/141.36 tff(29756,plain,
% 218.81/141.36 (v84(constB23, 1) <=> v84(constB22, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[25469, 25461])).
% 218.81/141.36 tff(29757,plain,
% 218.81/141.36 (v84(constB21, 1) <=> v84(constB20, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26214, 26206])).
% 218.81/141.36 tff(29758,plain,
% 218.81/141.36 (v84(constB19, 0)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26810, 22515])).
% 218.81/141.36 tff(29759,plain,
% 218.81/141.36 (v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26814, 29758])).
% 218.81/141.36 tff(29760,plain,
% 218.81/141.36 ((~(v119(constB19) <=> (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))))) | (~v119(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27206, 29759])).
% 218.81/141.36 tff(29761,plain,
% 218.81/141.36 (~v119(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29760, 26702])).
% 218.81/141.36 tff(29762,plain,
% 218.81/141.36 (v84(constB19, 1) <=> v84(constB18, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[25202, 21514])).
% 218.81/141.36 tff(29763,plain,
% 218.81/141.36 ((~(v84(constB19, 1) <=> v84(constB18, 1))) | v84(constB19, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26675, 22488])).
% 218.81/141.36 tff(29764,plain,
% 218.81/141.36 (v84(constB19, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29763, 29762])).
% 218.81/141.36 tff(29765,plain,
% 218.81/141.36 ((v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))) | (~v84(constB19, 1))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29766,plain,
% 218.81/141.36 (v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29765, 29764])).
% 218.81/141.36 tff(29767,plain,
% 218.81/141.36 (~v118(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26746, 29766])).
% 218.81/141.36 tff(29768,assumption,(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))), introduced(assumption)).
% 218.81/141.36 tff(29769,plain,
% 218.81/141.36 ((~(v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))))) | (~v114(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[25421, 29768])).
% 218.81/141.36 tff(29770,plain,
% 218.81/141.36 (~v114(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29769, 26766])).
% 218.81/141.36 tff(29771,plain,
% 218.81/141.36 (v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26812, 29758])).
% 218.81/141.36 tff(29772,plain,
% 218.81/141.36 ((~(v113(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))))) | (~v113(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26774, 29771])).
% 218.81/141.36 tff(29773,plain,
% 218.81/141.36 (~v113(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29772, 26771])).
% 218.81/141.36 tff(29774,plain,
% 218.81/141.36 (~(v113(constB19) | v114(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27194, 29773, 29770])).
% 218.81/141.36 tff(29775,plain,
% 218.81/141.36 ((~(v112(constB19) <=> (v113(constB19) | v114(constB19)))) | (~v112(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27196, 29774])).
% 218.81/141.36 tff(29776,plain,
% 218.81/141.36 (~v112(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29775, 26855])).
% 218.81/141.36 tff(29777,plain,
% 218.81/141.36 (v84(constB19, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[21526, 22579])).
% 218.81/141.36 tff(29778,plain,
% 218.81/141.36 (v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[25401, 29777])).
% 218.81/141.36 tff(29779,plain,
% 218.81/141.36 ((~(v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))) | (~v115(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[25412, 29778])).
% 218.81/141.36 tff(29780,plain,
% 218.81/141.36 (~v115(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29779, 26762])).
% 218.81/141.36 tff(29781,plain,
% 218.81/141.36 ((~(v112(constB19) | v115(constB19))) | v112(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27199, 29780])).
% 218.81/141.36 tff(29782,plain,
% 218.81/141.36 (~(v112(constB19) | v115(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29781, 29776])).
% 218.81/141.36 tff(29783,plain,
% 218.81/141.36 (~v111(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27202, 29782, 26850])).
% 218.81/141.36 tff(29784,plain,
% 218.81/141.36 (v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26757, 29777])).
% 218.81/141.36 tff(29785,plain,
% 218.81/141.36 ((~(v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))))) | (~v116(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26759, 29784])).
% 218.81/141.36 tff(29786,plain,
% 218.81/141.36 (~v116(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29785, 26756])).
% 218.81/141.36 tff(29787,plain,
% 218.81/141.36 ((~(v111(constB19) | v116(constB19))) | v111(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27226, 29786])).
% 218.81/141.36 tff(29788,plain,
% 218.81/141.36 (~(v111(constB19) | v116(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29787, 29783])).
% 218.81/141.36 tff(29789,plain,
% 218.81/141.36 (~v110(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27223, 29788, 26843])).
% 218.81/141.36 tff(29790,plain,
% 218.81/141.36 (v84(constB19, 2) <=> v84(constB18, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[21522, 21514])).
% 218.81/141.36 tff(29791,plain,
% 218.81/141.36 (v84(constB19, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[21476, 26341])).
% 218.81/141.36 tff(29792,plain,
% 218.81/141.36 ((~(v84(constB19, 2) <=> v84(constB18, 2))) | v84(constB18, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26656, 29791])).
% 218.81/141.36 tff(29793,plain,
% 218.81/141.36 (v84(constB18, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29792, 29790])).
% 218.81/141.36 tff(29794,plain,
% 218.81/141.36 (v84(constB19, 0) <=> v84(constB18, 0)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26667, 21514])).
% 218.81/141.36 tff(29795,plain,
% 218.81/141.36 ((v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))) | (~v84(constB19, 0))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29796,plain,
% 218.81/141.36 (~v84(constB19, 0)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29795, 26341])).
% 218.81/141.36 tff(29797,plain,
% 218.81/141.36 ((~(v84(constB19, 0) <=> v84(constB18, 0))) | (~v84(constB18, 0))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26809, 29796])).
% 218.81/141.36 tff(29798,plain,
% 218.81/141.36 (~v84(constB18, 0)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29797, 29794])).
% 218.81/141.36 tff(29799,plain,
% 218.81/141.36 ((v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))) | (~v84(constB19, 1))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29800,plain,
% 218.81/141.36 (~v84(constB19, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29799, 26341])).
% 218.81/141.36 tff(29801,plain,
% 218.81/141.36 ((~(v84(constB19, 1) <=> v84(constB18, 1))) | (~v84(constB18, 1))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26675, 29800])).
% 218.81/141.36 tff(29802,plain,
% 218.81/141.36 (~v84(constB18, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29801, 29762])).
% 218.81/141.36 tff(29803,plain,
% 218.81/141.36 ($false),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[21616, 29802, 29798, 29793, 21603])).
% 218.81/141.36 tff(29804,plain,((v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))) | (~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.81/141.36 tff(29805,plain,
% 218.81/141.36 (v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29804, 22559])).
% 218.81/141.36 tff(29806,plain,
% 218.81/141.36 ((~(v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))))) | (~v117(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26748, 29805])).
% 218.81/141.36 tff(29807,plain,
% 218.81/141.36 (~v117(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29806, 26348])).
% 218.81/141.36 tff(29808,plain,
% 218.81/141.36 ((~(v110(constB19) | v117(constB19))) | v110(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27220, 29807])).
% 218.81/141.36 tff(29809,plain,
% 218.81/141.36 (~(v110(constB19) | v117(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29808, 29789])).
% 218.81/141.36 tff(29810,plain,
% 218.81/141.36 (~v109(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27216, 29809, 26353])).
% 218.81/141.36 tff(29811,plain,
% 218.81/141.36 (~(v109(constB19) | v118(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27214, 29810, 29767])).
% 218.81/141.36 tff(29812,plain,
% 218.81/141.36 (~v108(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27212, 29811])).
% 218.81/141.36 tff(29813,plain,
% 218.81/141.36 (~(v108(constB19) | v119(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27209, 29812, 29761])).
% 218.81/141.36 tff(29814,plain,
% 218.81/141.36 (~v107(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26952, 29813])).
% 218.81/141.36 tff(29815,plain,
% 218.81/141.36 ((~v107(constB19)) | (~v120(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26949, 29814])).
% 218.81/141.36 tff(29816,plain,
% 218.81/141.36 (~v106(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26947, 29815])).
% 218.81/141.36 tff(29817,plain,
% 218.81/141.36 (~(v105(constB19) | v106(constB19))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26944, 29816])).
% 218.81/141.36 tff(29818,plain,
% 218.81/141.36 (~v102(constB19)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26914, 29817])).
% 218.81/141.36 tff(29819,plain,
% 218.81/141.36 (~v104(constB20)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26917, 29818])).
% 218.81/141.36 tff(29820,plain,
% 218.81/141.36 ((~v95(constB20)) | (~v104(constB20))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26919, 29819])).
% 218.81/141.36 tff(29821,plain,
% 218.81/141.36 (~v94(constB20)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26922, 29820])).
% 218.81/141.36 tff(29822,plain,
% 218.81/141.36 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26930, 29821])).
% 218.81/141.36 tff(29823,plain,
% 218.81/141.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 1) <=> v84(constB19, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 1) <=> v84(constB19, 1)))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29824,plain,
% 218.81/141.36 (($false | $false | (v84(constB20, 1) <=> v84(constB19, 1))) <=> (v84(constB20, 1) <=> v84(constB19, 1))),
% 218.81/141.36 inference(rewrite,[status(thm)],[])).
% 218.81/141.36 tff(29825,plain,
% 218.81/141.36 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB20, 1) <=> v84(constB19, 1))) <=> ($false | $false | (v84(constB20, 1) <=> v84(constB19, 1)))),
% 218.81/141.36 inference(monotonicity,[status(thm)],[402, 401])).
% 218.81/141.36 tff(29826,plain,
% 218.81/141.36 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB20, 1) <=> v84(constB19, 1))) <=> (v84(constB20, 1) <=> v84(constB19, 1))),
% 218.81/141.36 inference(transitivity,[status(thm)],[29825, 29824])).
% 218.81/141.36 tff(29827,plain,
% 218.81/141.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB20, 1) <=> v84(constB19, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 1) <=> v84(constB19, 1)))),
% 218.81/141.36 inference(monotonicity,[status(thm)],[29826])).
% 218.81/141.36 tff(29828,plain,
% 218.81/141.36 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB20, 1) <=> v84(constB19, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 1) <=> v84(constB19, 1)))),
% 218.81/141.36 inference(transitivity,[status(thm)],[29827, 29823])).
% 218.81/141.36 tff(29829,plain,
% 218.81/141.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB20, 1) <=> v84(constB19, 1)))),
% 218.81/141.36 inference(quant_inst,[status(thm)],[])).
% 218.81/141.36 tff(29830,plain,
% 218.81/141.36 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))) | (v84(constB20, 1) <=> v84(constB19, 1))),
% 218.81/141.36 inference(modus_ponens,[status(thm)],[29829, 29828])).
% 218.81/141.36 tff(29831,plain,
% 218.81/141.36 (v84(constB20, 1) <=> v84(constB19, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29830, 29822])).
% 218.81/141.36 tff(29832,plain,
% 218.81/141.36 ((~(v84(constB20, 1) <=> v84(constB19, 1))) | v84(constB20, 1) | (~v84(constB19, 1))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29833,plain,
% 218.81/141.36 ((~(v84(constB20, 1) <=> v84(constB19, 1))) | v84(constB20, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29832, 29764])).
% 218.81/141.36 tff(29834,plain,
% 218.81/141.36 (v84(constB20, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29833, 29831])).
% 218.81/141.36 tff(29835,plain,
% 218.81/141.36 ((~(v84(constB21, 1) <=> v84(constB20, 1))) | v84(constB21, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27065, 29834])).
% 218.81/141.36 tff(29836,plain,
% 218.81/141.36 (v84(constB21, 1)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29835, 29757])).
% 218.81/141.36 tff(29837,plain,
% 218.81/141.36 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27079, 29836])).
% 218.81/141.36 tff(29838,plain,
% 218.81/141.36 ((~(v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))))) | (~v114(constB21))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27081, 29837])).
% 218.81/141.36 tff(29839,plain,
% 218.81/141.36 (~v114(constB21)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29838, 26079])).
% 218.81/141.36 tff(29840,plain,
% 218.81/141.36 (v113(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[25913, 597])).
% 218.81/141.36 tff(29841,plain,
% 218.81/141.36 (v84(constB20, 0) <=> v84(constB19, 0)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26939, 29822])).
% 218.81/141.36 tff(29842,plain,
% 218.81/141.36 ((~(v84(constB20, 0) <=> v84(constB19, 0))) | v84(constB20, 0)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26911, 29758])).
% 218.81/141.36 tff(29843,plain,
% 218.81/141.36 (v84(constB20, 0)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29842, 29841])).
% 218.81/141.36 tff(29844,plain,
% 218.81/141.36 ((~(v84(constB21, 0) <=> v84(constB20, 0))) | v84(constB21, 0)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26829, 29843])).
% 218.81/141.36 tff(29845,plain,
% 218.81/141.36 (v84(constB21, 0)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29844, 27101])).
% 218.81/141.36 tff(29846,plain,
% 218.81/141.36 ((v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)) | (~v84(constB21, 0))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29847,plain,
% 218.81/141.36 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29846, 29845])).
% 218.81/141.36 tff(29848,plain,
% 218.81/141.36 ((~(v113(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))))) | (~v113(constB21))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27086, 29847])).
% 218.81/141.36 tff(29849,plain,
% 218.81/141.36 (~v113(constB21)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29848, 29840])).
% 218.81/141.36 tff(29850,plain,
% 218.81/141.36 ((~(v113(constB21) | v114(constB21))) | v113(constB21) | v114(constB21)),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29851,plain,
% 218.81/141.36 (~(v113(constB21) | v114(constB21))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29850, 29849, 29839])).
% 218.81/141.36 tff(29852,plain,
% 218.81/141.36 ((~(v112(constB21) <=> (v113(constB21) | v114(constB21)))) | (~v112(constB21)) | (v113(constB21) | v114(constB21))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29853,plain,
% 218.81/141.36 ((~(v112(constB21) <=> (v113(constB21) | v114(constB21)))) | (~v112(constB21))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29852, 29851])).
% 218.81/141.36 tff(29854,plain,
% 218.81/141.36 (~v112(constB21)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29853, 26078])).
% 218.81/141.36 tff(29855,plain,
% 218.81/141.36 ((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26816, 29845])).
% 218.81/141.36 tff(29856,plain,
% 218.81/141.36 ((~(v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))))) | (~v115(constB21))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26280, 29855])).
% 218.81/141.36 tff(29857,plain,
% 218.81/141.36 (~v115(constB21)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29856, 25585])).
% 218.81/141.36 tff(29858,plain,
% 218.81/141.36 ((~(v112(constB21) | v115(constB21))) | v112(constB21) | v115(constB21)),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29859,plain,
% 218.81/141.36 ((~(v112(constB21) | v115(constB21))) | v112(constB21)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29858, 29857])).
% 218.81/141.36 tff(29860,plain,
% 218.81/141.36 (~(v112(constB21) | v115(constB21))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29859, 29854])).
% 218.81/141.36 tff(29861,plain,
% 218.81/141.36 ((~(v111(constB21) <=> (v112(constB21) | v115(constB21)))) | (~v111(constB21)) | (v112(constB21) | v115(constB21))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29862,plain,
% 218.81/141.36 (~v111(constB21)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29861, 29860, 25587])).
% 218.81/141.36 tff(29863,plain,
% 218.81/141.36 (v84(constB20, 2) <=> v84(constB19, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26983, 29822])).
% 218.81/141.36 tff(29864,plain,
% 218.81/141.36 ((~(v84(constB20, 2) <=> v84(constB19, 2))) | v84(constB20, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26973, 29777])).
% 218.81/141.36 tff(29865,plain,
% 218.81/141.36 (v84(constB20, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29864, 29863])).
% 218.81/141.36 tff(29866,plain,
% 218.81/141.36 ((~(v84(constB21, 2) <=> v84(constB20, 2))) | v84(constB21, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[26296, 29865])).
% 218.81/141.36 tff(29867,plain,
% 218.81/141.36 (v84(constB21, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29866, 27009])).
% 218.81/141.36 tff(29868,plain,
% 218.81/141.36 ((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27031, 29867])).
% 218.81/141.36 tff(29869,plain,
% 218.81/141.36 ((~(v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))))) | (~v116(constB21))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27033, 29868])).
% 218.81/141.36 tff(29870,plain,
% 218.81/141.36 (~v116(constB21)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29869, 25568])).
% 218.81/141.36 tff(29871,plain,
% 218.81/141.36 ((~(v111(constB21) | v116(constB21))) | v111(constB21) | v116(constB21)),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29872,plain,
% 218.81/141.36 ((~(v111(constB21) | v116(constB21))) | v111(constB21)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29871, 29870])).
% 218.81/141.36 tff(29873,plain,
% 218.81/141.36 (~(v111(constB21) | v116(constB21))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29872, 29862])).
% 218.81/141.36 tff(29874,plain,
% 218.81/141.36 ((~(v110(constB21) <=> (v111(constB21) | v116(constB21)))) | (~v110(constB21)) | (v111(constB21) | v116(constB21))),
% 218.81/141.36 inference(tautology,[status(thm)],[])).
% 218.81/141.36 tff(29875,plain,
% 218.81/141.36 (~v110(constB21)),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[29874, 29873, 25492])).
% 218.81/141.36 tff(29876,plain,
% 218.81/141.36 (v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))),
% 218.81/141.36 inference(unit_resolution,[status(thm)],[27074, 29836])).
% 218.81/141.37 tff(29877,plain,
% 218.81/141.37 ((~(v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))))) | (~v117(constB21))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[27076, 29876])).
% 218.81/141.37 tff(29878,plain,
% 218.81/141.37 (~v117(constB21)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29877, 27073])).
% 218.81/141.37 tff(29879,plain,
% 218.81/141.37 ((~(v110(constB21) | v117(constB21))) | v110(constB21) | v117(constB21)),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29880,plain,
% 218.81/141.37 ((~(v110(constB21) | v117(constB21))) | v110(constB21)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29879, 29878])).
% 218.81/141.37 tff(29881,plain,
% 218.81/141.37 (~(v110(constB21) | v117(constB21))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29880, 29875])).
% 218.81/141.37 tff(29882,plain,
% 218.81/141.37 ((~(v109(constB21) <=> (v110(constB21) | v117(constB21)))) | (~v109(constB21)) | (v110(constB21) | v117(constB21))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29883,plain,
% 218.81/141.37 (~v109(constB21)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29882, 29881, 25605])).
% 218.81/141.37 tff(29884,plain,
% 218.81/141.37 (v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[27068, 29836])).
% 218.81/141.37 tff(29885,plain,
% 218.81/141.37 ((~(v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))))) | (~v118(constB21))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[27070, 29884])).
% 218.81/141.37 tff(29886,plain,
% 218.81/141.37 (~v118(constB21)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29885, 27037])).
% 218.81/141.37 tff(29887,plain,
% 218.81/141.37 ((~(v109(constB21) | v118(constB21))) | v109(constB21) | v118(constB21)),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29888,plain,
% 218.81/141.37 ((~(v109(constB21) | v118(constB21))) | v109(constB21)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29887, 29886])).
% 218.81/141.37 tff(29889,plain,
% 218.81/141.37 (~(v109(constB21) | v118(constB21))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29888, 29883])).
% 218.81/141.37 tff(29890,plain,
% 218.81/141.37 ((~(v108(constB21) <=> (v109(constB21) | v118(constB21)))) | (~v108(constB21)) | (v109(constB21) | v118(constB21))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29891,plain,
% 218.81/141.37 (~v108(constB21)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29890, 29889, 25607])).
% 218.81/141.37 tff(29892,plain,
% 218.81/141.37 (((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2))) | (~v84(constB21, 0))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29893,plain,
% 218.81/141.37 ((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29892, 29845])).
% 218.81/141.37 tff(29894,plain,
% 218.81/141.37 ((~(v119(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2)))))) | (~v119(constB21)) | (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2))))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29895,plain,
% 218.81/141.37 ((~(v119(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2)))))) | (~v119(constB21))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29894, 29893])).
% 218.81/141.37 tff(29896,plain,
% 218.81/141.37 (~v119(constB21)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29895, 27100])).
% 218.81/141.37 tff(29897,plain,
% 218.81/141.37 ((~(v108(constB21) | v119(constB21))) | v108(constB21) | v119(constB21)),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29898,plain,
% 218.81/141.37 ((~(v108(constB21) | v119(constB21))) | v108(constB21)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29897, 29896])).
% 218.81/141.37 tff(29899,plain,
% 218.81/141.37 (~(v108(constB21) | v119(constB21))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29898, 29891])).
% 218.81/141.37 tff(29900,plain,
% 218.81/141.37 ((~(v107(constB21) <=> (v108(constB21) | v119(constB21)))) | (~v107(constB21)) | (v108(constB21) | v119(constB21))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29901,plain,
% 218.81/141.37 (~v107(constB21)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29900, 29899, 25609])).
% 218.81/141.37 tff(29902,plain,
% 218.81/141.37 (((~v107(constB21)) | (~v120(constB21))) | v107(constB21)),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29903,plain,
% 218.81/141.37 ((~v107(constB21)) | (~v120(constB21))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29902, 29901])).
% 218.81/141.37 tff(29904,plain,
% 218.81/141.37 ((~(v106(constB21) <=> (~((~v107(constB21)) | (~v120(constB21)))))) | (~v106(constB21)) | (~((~v107(constB21)) | (~v120(constB21))))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29905,plain,
% 218.81/141.37 ((~v106(constB21)) | (~((~v107(constB21)) | (~v120(constB21))))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29904, 25611])).
% 218.81/141.37 tff(29906,plain,
% 218.81/141.37 (~v106(constB21)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29905, 29903])).
% 218.81/141.37 tff(29907,plain,
% 218.81/141.37 (~(v105(constB21) | v106(constB21))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25502, 29906])).
% 218.81/141.37 tff(29908,plain,
% 218.81/141.37 (~v102(constB21)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25507, 29907])).
% 218.81/141.37 tff(29909,plain,
% 218.81/141.37 (~v104(constB22)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25517, 29908])).
% 218.81/141.37 tff(29910,plain,
% 218.81/141.37 ((~v95(constB22)) | (~v104(constB22))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25519, 29909])).
% 218.81/141.37 tff(29911,plain,
% 218.81/141.37 (~v94(constB22)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25526, 29910])).
% 218.81/141.37 tff(29912,plain,
% 218.81/141.37 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25534, 29911])).
% 218.81/141.37 tff(29913,plain,
% 218.81/141.37 (v84(constB22, 1) <=> v84(constB21, 1)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25543, 29912])).
% 218.81/141.37 tff(29914,plain,
% 218.81/141.37 ((~(v84(constB22, 1) <=> v84(constB21, 1))) | v84(constB22, 1) | (~v84(constB21, 1))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29915,plain,
% 218.81/141.37 ((~(v84(constB22, 1) <=> v84(constB21, 1))) | v84(constB22, 1)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29914, 29836])).
% 218.81/141.37 tff(29916,plain,
% 218.81/141.37 (v84(constB22, 1)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29915, 29913])).
% 218.81/141.37 tff(29917,plain,
% 218.81/141.37 ((~(v84(constB23, 1) <=> v84(constB22, 1))) | v84(constB23, 1)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[27981, 29916])).
% 218.81/141.37 tff(29918,plain,
% 218.81/141.37 (v84(constB23, 1)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29917, 29756])).
% 218.81/141.37 tff(29919,plain,
% 218.81/141.37 (v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25718, 29918])).
% 218.81/141.37 tff(29920,plain,
% 218.81/141.37 ((~(v114(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))))) | (~v114(constB23)) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29921,plain,
% 218.81/141.37 ((~(v114(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))))) | (~v114(constB23))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29920, 29919])).
% 218.81/141.37 tff(29922,plain,
% 218.81/141.37 (~v114(constB23)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29921, 29755])).
% 218.81/141.37 tff(29923,plain,
% 218.81/141.37 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2))))),
% 218.81/141.37 inference(quant_inst,[status(thm)],[])).
% 218.81/141.37 tff(29924,plain,
% 218.81/141.37 (v113(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29923, 597])).
% 218.81/141.37 tff(29925,plain,
% 218.81/141.37 ((v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)) | (~v84(constB23, 1))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29926,plain,
% 218.81/141.37 (v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29925, 29918])).
% 218.81/141.37 tff(29927,plain,
% 218.81/141.37 ((~(v113(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2))))) | (~v113(constB23)) | (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29928,plain,
% 218.81/141.37 ((~(v113(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2))))) | (~v113(constB23))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29927, 29926])).
% 218.81/141.37 tff(29929,plain,
% 218.81/141.37 (~v113(constB23)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29928, 29924])).
% 218.81/141.37 tff(29930,plain,
% 218.81/141.37 ((~(v113(constB23) | v114(constB23))) | v113(constB23) | v114(constB23)),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29931,plain,
% 218.81/141.37 (~(v113(constB23) | v114(constB23))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29930, 29929, 29922])).
% 218.81/141.37 tff(29932,plain,
% 218.81/141.37 ((~(v112(constB23) <=> (v113(constB23) | v114(constB23)))) | (~v112(constB23)) | (v113(constB23) | v114(constB23))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29933,plain,
% 218.81/141.37 ((~(v112(constB23) <=> (v113(constB23) | v114(constB23)))) | (~v112(constB23))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29932, 29931])).
% 218.81/141.37 tff(29934,plain,
% 218.81/141.37 (~v112(constB23)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29933, 29753])).
% 218.81/141.37 tff(29935,plain,
% 218.81/141.37 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)))))),
% 218.81/141.37 inference(rewrite,[status(thm)],[])).
% 218.81/141.37 tff(29936,plain,
% 218.81/141.37 ((v115(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 2) | (~v84(constB23, 1))))) <=> (v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))))),
% 218.81/141.37 inference(rewrite,[status(thm)],[])).
% 218.81/141.37 tff(29937,plain,
% 218.81/141.37 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 2) | (~v84(constB23, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)))))),
% 218.81/141.37 inference(monotonicity,[status(thm)],[29936])).
% 218.81/141.37 tff(29938,plain,
% 218.81/141.37 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 2) | (~v84(constB23, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)))))),
% 218.81/141.37 inference(transitivity,[status(thm)],[29937, 29935])).
% 218.81/141.37 tff(29939,plain,
% 218.81/141.37 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 2) | (~v84(constB23, 1)))))),
% 218.81/141.37 inference(quant_inst,[status(thm)],[])).
% 218.81/141.37 tff(29940,plain,
% 218.81/141.37 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))))),
% 218.81/141.37 inference(modus_ponens,[status(thm)],[29939, 29938])).
% 218.81/141.37 tff(29941,plain,
% 218.81/141.37 (v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29940, 622])).
% 218.81/141.37 tff(29942,plain,
% 218.81/141.37 (v84(constB23, 2) <=> v84(constB22, 2)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25485, 25461])).
% 218.81/141.37 tff(29943,plain,
% 218.81/141.37 (v84(constB22, 2) <=> v84(constB21, 2)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25556, 29912])).
% 218.81/141.37 tff(29944,plain,
% 218.81/141.37 ((~(v84(constB22, 2) <=> v84(constB21, 2))) | v84(constB22, 2)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25559, 29867])).
% 218.81/141.37 tff(29945,plain,
% 218.81/141.37 (v84(constB22, 2)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29944, 29943])).
% 218.81/141.37 tff(29946,plain,
% 218.81/141.37 ((~(v84(constB23, 2) <=> v84(constB22, 2))) | v84(constB23, 2)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25488, 29945])).
% 218.81/141.37 tff(29947,plain,
% 218.81/141.37 (v84(constB23, 2)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29946, 29942])).
% 218.81/141.37 tff(29948,plain,
% 218.81/141.37 (((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)) | (~v84(constB23, 2))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29949,plain,
% 218.81/141.37 ((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29948, 29947])).
% 218.81/141.37 tff(29950,plain,
% 218.81/141.37 ((~(v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))))) | (~v115(constB23)) | (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29951,plain,
% 218.81/141.37 ((~(v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))))) | (~v115(constB23))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29950, 29949])).
% 218.81/141.37 tff(29952,plain,
% 218.81/141.37 (~v115(constB23)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29951, 29941])).
% 218.81/141.37 tff(29953,plain,
% 218.81/141.37 ((~(v112(constB23) | v115(constB23))) | v112(constB23) | v115(constB23)),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29954,plain,
% 218.81/141.37 ((~(v112(constB23) | v115(constB23))) | v112(constB23)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29953, 29952])).
% 218.81/141.37 tff(29955,plain,
% 218.81/141.37 (~(v112(constB23) | v115(constB23))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29954, 29934])).
% 218.81/141.37 tff(29956,plain,
% 218.81/141.37 ((~(v111(constB23) <=> (v112(constB23) | v115(constB23)))) | (~v111(constB23)) | (v112(constB23) | v115(constB23))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29957,plain,
% 218.81/141.37 (~v111(constB23)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29956, 29955, 29751])).
% 218.81/141.37 tff(29958,plain,
% 218.81/141.37 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))))))),
% 218.81/141.37 inference(rewrite,[status(thm)],[])).
% 218.81/141.37 tff(29959,plain,
% 218.81/141.37 ((v116(constB23) <=> (~(v84(constB23, 2) | (~v84(constB23, 1)) | (~v84(constB23, 0))))) <=> (v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))))),
% 218.81/141.37 inference(rewrite,[status(thm)],[])).
% 218.81/141.37 tff(29960,plain,
% 218.81/141.37 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB23) <=> (~(v84(constB23, 2) | (~v84(constB23, 1)) | (~v84(constB23, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))))))),
% 218.81/141.37 inference(monotonicity,[status(thm)],[29959])).
% 218.81/141.37 tff(29961,plain,
% 218.81/141.37 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB23) <=> (~(v84(constB23, 2) | (~v84(constB23, 1)) | (~v84(constB23, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))))))),
% 218.81/141.37 inference(transitivity,[status(thm)],[29960, 29958])).
% 218.81/141.37 tff(29962,plain,
% 218.81/141.37 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB23) <=> (~(v84(constB23, 2) | (~v84(constB23, 1)) | (~v84(constB23, 0)))))),
% 218.81/141.37 inference(quant_inst,[status(thm)],[])).
% 218.81/141.37 tff(29963,plain,
% 218.81/141.37 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))))),
% 218.81/141.37 inference(modus_ponens,[status(thm)],[29962, 29961])).
% 218.81/141.37 tff(29964,plain,
% 218.81/141.37 (v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29963, 521])).
% 218.81/141.37 tff(29965,plain,
% 218.81/141.37 ((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[25475, 29947])).
% 218.81/141.37 tff(29966,plain,
% 218.81/141.37 ((~(v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))))) | (~v116(constB23)) | (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))))),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.81/141.37 tff(29967,plain,
% 218.81/141.37 ((~(v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))))) | (~v116(constB23))),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29966, 29965])).
% 218.81/141.37 tff(29968,plain,
% 218.81/141.37 (~v116(constB23)),
% 218.81/141.37 inference(unit_resolution,[status(thm)],[29967, 29964])).
% 218.81/141.37 tff(29969,plain,
% 218.81/141.37 ((~(v111(constB23) | v116(constB23))) | v111(constB23) | v116(constB23)),
% 218.81/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(29970,plain,
% 218.83/141.37 ((~(v111(constB23) | v116(constB23))) | v111(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29969, 29968])).
% 218.83/141.37 tff(29971,plain,
% 218.83/141.37 (~(v111(constB23) | v116(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29970, 29957])).
% 218.83/141.37 tff(29972,plain,
% 218.83/141.37 ((~(v110(constB23) <=> (v111(constB23) | v116(constB23)))) | (~v110(constB23)) | (v111(constB23) | v116(constB23))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(29973,plain,
% 218.83/141.37 (~v110(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29972, 29971, 29749])).
% 218.83/141.37 tff(29974,plain,
% 218.83/141.37 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))))))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(29975,plain,
% 218.83/141.37 ((v117(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | (~v84(constB23, 2))))) <=> (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(29976,plain,
% 218.83/141.37 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | (~v84(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))))))),
% 218.83/141.37 inference(monotonicity,[status(thm)],[29975])).
% 218.83/141.37 tff(29977,plain,
% 218.83/141.37 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | (~v84(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))))))),
% 218.83/141.37 inference(transitivity,[status(thm)],[29976, 29974])).
% 218.83/141.37 tff(29978,plain,
% 218.83/141.37 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | (~v84(constB23, 2)))))),
% 218.83/141.37 inference(quant_inst,[status(thm)],[])).
% 218.83/141.37 tff(29979,plain,
% 218.83/141.37 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))),
% 218.83/141.37 inference(modus_ponens,[status(thm)],[29978, 29977])).
% 218.83/141.37 tff(29980,plain,
% 218.83/141.37 (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29979, 656])).
% 218.83/141.37 tff(29981,plain,
% 218.83/141.37 ((v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))) | (~v84(constB23, 1))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(29982,plain,
% 218.83/141.37 (v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29981, 29918])).
% 218.83/141.37 tff(29983,plain,
% 218.83/141.37 ((~(v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))) | (~v117(constB23)) | (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(29984,plain,
% 218.83/141.37 ((~(v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))) | (~v117(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29983, 29982])).
% 218.83/141.37 tff(29985,plain,
% 218.83/141.37 (~v117(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29984, 29980])).
% 218.83/141.37 tff(29986,plain,
% 218.83/141.37 ((~(v110(constB23) | v117(constB23))) | v110(constB23) | v117(constB23)),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(29987,plain,
% 218.83/141.37 ((~(v110(constB23) | v117(constB23))) | v110(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29986, 29985])).
% 218.83/141.37 tff(29988,plain,
% 218.83/141.37 (~(v110(constB23) | v117(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29987, 29973])).
% 218.83/141.37 tff(29989,plain,
% 218.83/141.37 ((~(v109(constB23) <=> (v110(constB23) | v117(constB23)))) | (~v109(constB23)) | (v110(constB23) | v117(constB23))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(29990,plain,
% 218.83/141.37 (~v109(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29989, 29988, 29747])).
% 218.83/141.37 tff(29991,plain,
% 218.83/141.37 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))))))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(29992,plain,
% 218.83/141.37 ((v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 0)) | (~v84(constB23, 2))))) <=> (v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(29993,plain,
% 218.83/141.37 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 0)) | (~v84(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))))))),
% 218.83/141.37 inference(monotonicity,[status(thm)],[29992])).
% 218.83/141.37 tff(29994,plain,
% 218.83/141.37 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 0)) | (~v84(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))))))),
% 218.83/141.37 inference(transitivity,[status(thm)],[29993, 29991])).
% 218.83/141.37 tff(29995,plain,
% 218.83/141.37 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 0)) | (~v84(constB23, 2)))))),
% 218.83/141.37 inference(quant_inst,[status(thm)],[])).
% 218.83/141.37 tff(29996,plain,
% 218.83/141.37 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))))),
% 218.83/141.37 inference(modus_ponens,[status(thm)],[29995, 29994])).
% 218.83/141.37 tff(29997,plain,
% 218.83/141.37 (v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29996, 394])).
% 218.83/141.37 tff(29998,plain,
% 218.83/141.37 ((v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))) | (~v84(constB23, 1))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(29999,plain,
% 218.83/141.37 (v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[29998, 29918])).
% 218.83/141.37 tff(30000,plain,
% 218.83/141.37 ((~(v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))))) | (~v118(constB23)) | (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30001,plain,
% 218.83/141.37 ((~(v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))))) | (~v118(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30000, 29999])).
% 218.83/141.37 tff(30002,plain,
% 218.83/141.37 (~v118(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30001, 29997])).
% 218.83/141.37 tff(30003,plain,
% 218.83/141.37 ((~(v109(constB23) | v118(constB23))) | v109(constB23) | v118(constB23)),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30004,plain,
% 218.83/141.37 ((~(v109(constB23) | v118(constB23))) | v109(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30003, 30002])).
% 218.83/141.37 tff(30005,plain,
% 218.83/141.37 (~(v109(constB23) | v118(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30004, 29990])).
% 218.83/141.37 tff(30006,plain,
% 218.83/141.37 ((~(v108(constB23) <=> (v109(constB23) | v118(constB23)))) | (~v108(constB23)) | (v109(constB23) | v118(constB23))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30007,plain,
% 218.83/141.37 (~v108(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30006, 30005, 29745])).
% 218.83/141.37 tff(30008,plain,
% 218.83/141.37 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))))))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(30009,plain,
% 218.83/141.37 ((v119(constB23) <=> (~(v84(constB23, 0) | (~v84(constB23, 1)) | (~v84(constB23, 2))))) <=> (v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(30010,plain,
% 218.83/141.37 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB23) <=> (~(v84(constB23, 0) | (~v84(constB23, 1)) | (~v84(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))))))),
% 218.83/141.37 inference(monotonicity,[status(thm)],[30009])).
% 218.83/141.37 tff(30011,plain,
% 218.83/141.37 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB23) <=> (~(v84(constB23, 0) | (~v84(constB23, 1)) | (~v84(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))))))),
% 218.83/141.37 inference(transitivity,[status(thm)],[30010, 30008])).
% 218.83/141.37 tff(30012,plain,
% 218.83/141.37 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB23) <=> (~(v84(constB23, 0) | (~v84(constB23, 1)) | (~v84(constB23, 2)))))),
% 218.83/141.37 inference(quant_inst,[status(thm)],[])).
% 218.83/141.37 tff(30013,plain,
% 218.83/141.37 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))))),
% 218.83/141.37 inference(modus_ponens,[status(thm)],[30012, 30011])).
% 218.83/141.37 tff(30014,plain,
% 218.83/141.37 (v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30013, 318])).
% 218.83/141.37 tff(30015,plain,
% 218.83/141.37 (v84(constB23, 0) <=> v84(constB22, 0)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[25800, 25461])).
% 218.83/141.37 tff(30016,plain,
% 218.83/141.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 0) <=> v84(constB21, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 0) <=> v84(constB21, 0)))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(30017,plain,
% 218.83/141.37 (($false | $false | (v84(constB22, 0) <=> v84(constB21, 0))) <=> (v84(constB22, 0) <=> v84(constB21, 0))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(30018,plain,
% 218.83/141.37 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB22, 0) <=> v84(constB21, 0))) <=> ($false | $false | (v84(constB22, 0) <=> v84(constB21, 0)))),
% 218.83/141.37 inference(monotonicity,[status(thm)],[250, 249])).
% 218.83/141.37 tff(30019,plain,
% 218.83/141.37 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB22, 0) <=> v84(constB21, 0))) <=> (v84(constB22, 0) <=> v84(constB21, 0))),
% 218.83/141.37 inference(transitivity,[status(thm)],[30018, 30017])).
% 218.83/141.37 tff(30020,plain,
% 218.83/141.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB22, 0) <=> v84(constB21, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 0) <=> v84(constB21, 0)))),
% 218.83/141.37 inference(monotonicity,[status(thm)],[30019])).
% 218.83/141.37 tff(30021,plain,
% 218.83/141.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB22, 0) <=> v84(constB21, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 0) <=> v84(constB21, 0)))),
% 218.83/141.37 inference(transitivity,[status(thm)],[30020, 30016])).
% 218.83/141.37 tff(30022,plain,
% 218.83/141.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB22, 0) <=> v84(constB21, 0)))),
% 218.83/141.37 inference(quant_inst,[status(thm)],[])).
% 218.83/141.37 tff(30023,plain,
% 218.83/141.37 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (v84(constB22, 0) <=> v84(constB21, 0))),
% 218.83/141.37 inference(modus_ponens,[status(thm)],[30022, 30021])).
% 218.83/141.37 tff(30024,plain,
% 218.83/141.37 (v84(constB22, 0) <=> v84(constB21, 0)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30023, 29912])).
% 218.83/141.37 tff(30025,plain,
% 218.83/141.37 ((~(v84(constB22, 0) <=> v84(constB21, 0))) | v84(constB22, 0) | (~v84(constB21, 0))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30026,plain,
% 218.83/141.37 ((~(v84(constB22, 0) <=> v84(constB21, 0))) | v84(constB22, 0)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30025, 29845])).
% 218.83/141.37 tff(30027,plain,
% 218.83/141.37 (v84(constB22, 0)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30026, 30024])).
% 218.83/141.37 tff(30028,plain,
% 218.83/141.37 ((~(v84(constB23, 0) <=> v84(constB22, 0))) | v84(constB23, 0)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[25803, 30027])).
% 218.83/141.37 tff(30029,plain,
% 218.83/141.37 (v84(constB23, 0)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30028, 30015])).
% 218.83/141.37 tff(30030,plain,
% 218.83/141.37 (((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))) | (~v84(constB23, 0))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30031,plain,
% 218.83/141.37 ((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30030, 30029])).
% 218.83/141.37 tff(30032,plain,
% 218.83/141.37 ((~(v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))))) | (~v119(constB23)) | (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30033,plain,
% 218.83/141.37 ((~(v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))))) | (~v119(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30032, 30031])).
% 218.83/141.37 tff(30034,plain,
% 218.83/141.37 (~v119(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30033, 30014])).
% 218.83/141.37 tff(30035,plain,
% 218.83/141.37 ((~(v108(constB23) | v119(constB23))) | v108(constB23) | v119(constB23)),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30036,plain,
% 218.83/141.37 ((~(v108(constB23) | v119(constB23))) | v108(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30035, 30034])).
% 218.83/141.37 tff(30037,plain,
% 218.83/141.37 (~(v108(constB23) | v119(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30036, 30007])).
% 218.83/141.37 tff(30038,plain,
% 218.83/141.37 ((~(v107(constB23) <=> (v108(constB23) | v119(constB23)))) | (~v107(constB23)) | (v108(constB23) | v119(constB23))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30039,plain,
% 218.83/141.37 (~v107(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30038, 30037, 29743])).
% 218.83/141.37 tff(30040,plain,
% 218.83/141.37 (((~v107(constB23)) | (~v120(constB23))) | v107(constB23)),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30041,plain,
% 218.83/141.37 ((~v107(constB23)) | (~v120(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30040, 30039])).
% 218.83/141.37 tff(30042,plain,
% 218.83/141.37 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB23) <=> (~((~v107(constB23)) | (~v120(constB23)))))),
% 218.83/141.37 inference(quant_inst,[status(thm)],[])).
% 218.83/141.37 tff(30043,plain,
% 218.83/141.37 (v106(constB23) <=> (~((~v107(constB23)) | (~v120(constB23))))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30042, 132])).
% 218.83/141.37 tff(30044,plain,
% 218.83/141.37 ((~(v106(constB23) <=> (~((~v107(constB23)) | (~v120(constB23)))))) | (~v106(constB23)) | (~((~v107(constB23)) | (~v120(constB23))))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30045,plain,
% 218.83/141.37 ((~v106(constB23)) | (~((~v107(constB23)) | (~v120(constB23))))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30044, 30043])).
% 218.83/141.37 tff(30046,plain,
% 218.83/141.37 (~v106(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30045, 30041])).
% 218.83/141.37 tff(30047,plain,
% 218.83/141.37 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB23) <=> v26(constB23))),
% 218.83/141.37 inference(quant_inst,[status(thm)],[])).
% 218.83/141.37 tff(30048,plain,
% 218.83/141.37 (v105(constB23) <=> v26(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30047, 156])).
% 218.83/141.37 tff(30049,plain,
% 218.83/141.37 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 218.83/141.37 inference(quant_inst,[status(thm)],[])).
% 218.83/141.37 tff(30050,plain,
% 218.83/141.37 (~v26(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30049, 168])).
% 218.83/141.37 tff(30051,plain,
% 218.83/141.37 ((~(v105(constB23) <=> v26(constB23))) | (~v105(constB23)) | v26(constB23)),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30052,plain,
% 218.83/141.37 ((~(v105(constB23) <=> v26(constB23))) | (~v105(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30051, 30050])).
% 218.83/141.37 tff(30053,plain,
% 218.83/141.37 (~v105(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30052, 30048])).
% 218.83/141.37 tff(30054,plain,
% 218.83/141.37 ((~(v105(constB23) | v106(constB23))) | v105(constB23) | v106(constB23)),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30055,plain,
% 218.83/141.37 ((~(v105(constB23) | v106(constB23))) | v106(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30054, 30053])).
% 218.83/141.37 tff(30056,plain,
% 218.83/141.37 (~(v105(constB23) | v106(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30055, 30046])).
% 218.83/141.37 tff(30057,plain,
% 218.83/141.37 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB23) <=> (v105(constB23) | v106(constB23)))),
% 218.83/141.37 inference(quant_inst,[status(thm)],[])).
% 218.83/141.37 tff(30058,plain,
% 218.83/141.37 (v102(constB23) <=> (v105(constB23) | v106(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30057, 115])).
% 218.83/141.37 tff(30059,plain,
% 218.83/141.37 ((~(v102(constB23) <=> (v105(constB23) | v106(constB23)))) | (~v102(constB23)) | (v105(constB23) | v106(constB23))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30060,plain,
% 218.83/141.37 ((~v102(constB23)) | (v105(constB23) | v106(constB23))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30059, 30058])).
% 218.83/141.37 tff(30061,plain,
% 218.83/141.37 (~v102(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30060, 30056])).
% 218.83/141.37 tff(30062,plain,
% 218.83/141.37 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(30063,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23')).
% 218.83/141.37 tff(30064,plain,
% 218.83/141.37 (nextState(constB23, constB24)),
% 218.83/141.37 inference(modus_ponens,[status(thm)],[30063, 30062])).
% 218.83/141.37 tff(30065,plain,
% 218.83/141.37 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23)))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(30066,plain,
% 218.83/141.37 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23)))),
% 218.83/141.37 inference(quant_inst,[status(thm)],[])).
% 218.83/141.37 tff(30067,plain,
% 218.83/141.37 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23))),
% 218.83/141.37 inference(modus_ponens,[status(thm)],[30066, 30065])).
% 218.83/141.37 tff(30068,plain,
% 218.83/141.37 (v104(constB24) <=> v102(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30067, 30064, 101])).
% 218.83/141.37 tff(30069,plain,
% 218.83/141.37 ((~(v104(constB24) <=> v102(constB23))) | (~v104(constB24)) | v102(constB23)),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30070,plain,
% 218.83/141.37 ((~v104(constB24)) | v102(constB23)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30069, 30068])).
% 218.83/141.37 tff(30071,plain,
% 218.83/141.37 (~v104(constB24)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30070, 30061])).
% 218.83/141.37 tff(30072,plain,
% 218.83/141.37 (((~v95(constB24)) | (~v104(constB24))) | v104(constB24)),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30073,plain,
% 218.83/141.37 ((~v95(constB24)) | (~v104(constB24))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30072, 30071])).
% 218.83/141.37 tff(30074,plain,
% 218.83/141.37 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24))))))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(30075,plain,
% 218.83/141.37 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24))))))),
% 218.83/141.37 inference(quant_inst,[status(thm)],[])).
% 218.83/141.37 tff(30076,plain,
% 218.83/141.37 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24)))))),
% 218.83/141.37 inference(modus_ponens,[status(thm)],[30075, 30074])).
% 218.83/141.37 tff(30077,plain,
% 218.83/141.37 (v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24))))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30076, 30064, 14])).
% 218.83/141.37 tff(30078,plain,
% 218.83/141.37 ((~(v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24)))))) | (~v94(constB24)) | (~((~v95(constB24)) | (~v104(constB24))))),
% 218.83/141.37 inference(tautology,[status(thm)],[])).
% 218.83/141.37 tff(30079,plain,
% 218.83/141.37 ((~v94(constB24)) | (~((~v95(constB24)) | (~v104(constB24))))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30078, 30077])).
% 218.83/141.37 tff(30080,plain,
% 218.83/141.37 (~v94(constB24)),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30079, 30073])).
% 218.83/141.37 tff(30081,plain,
% 218.83/141.37 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB24) | (~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB24) | (~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B))))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(30082,plain,
% 218.83/141.37 ((v94(constB24) | (~nextState(constB23, constB24)) | ![B: $int] : ((v84(constB24, B) <=> v84(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB24) | (~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B))))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(30083,plain,
% 218.83/141.37 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB24) | (~nextState(constB23, constB24)) | ![B: $int] : ((v84(constB24, B) <=> v84(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB24) | (~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))))),
% 218.83/141.37 inference(monotonicity,[status(thm)],[30082])).
% 218.83/141.37 tff(30084,plain,
% 218.83/141.37 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB24) | (~nextState(constB23, constB24)) | ![B: $int] : ((v84(constB24, B) <=> v84(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB24) | (~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B))))),
% 218.83/141.37 inference(transitivity,[status(thm)],[30083, 30081])).
% 218.83/141.37 tff(30085,plain,
% 218.83/141.37 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB24) | (~nextState(constB23, constB24)) | ![B: $int] : ((v84(constB24, B) <=> v84(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.83/141.37 inference(quant_inst,[status(thm)],[])).
% 218.83/141.37 tff(30086,plain,
% 218.83/141.37 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB24) | (~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))),
% 218.83/141.37 inference(modus_ponens,[status(thm)],[30085, 30084])).
% 218.83/141.37 tff(30087,plain,
% 218.83/141.37 (v94(constB24) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30086, 30064, 235])).
% 218.83/141.37 tff(30088,plain,
% 218.83/141.37 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))),
% 218.83/141.37 inference(unit_resolution,[status(thm)],[30087, 30080])).
% 218.83/141.37 tff(30089,plain,
% 218.83/141.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 1) <=> v84(constB23, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 1) <=> v84(constB23, 1)))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(30090,plain,
% 218.83/141.37 (($false | $false | (v84(constB24, 1) <=> v84(constB23, 1))) <=> (v84(constB24, 1) <=> v84(constB23, 1))),
% 218.83/141.37 inference(rewrite,[status(thm)],[])).
% 218.83/141.37 tff(30091,plain,
% 218.83/141.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB24, 1) <=> v84(constB23, 1))) <=> ($false | $false | (v84(constB24, 1) <=> v84(constB23, 1)))),
% 218.83/141.37 inference(monotonicity,[status(thm)],[402, 401])).
% 218.83/141.37 tff(30092,plain,
% 218.83/141.37 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB24, 1) <=> v84(constB23, 1))) <=> (v84(constB24, 1) <=> v84(constB23, 1))),
% 218.83/141.37 inference(transitivity,[status(thm)],[30091, 30090])).
% 218.83/141.37 tff(30093,plain,
% 218.83/141.37 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB24, 1) <=> v84(constB23, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 1) <=> v84(constB23, 1)))),
% 218.83/141.38 inference(monotonicity,[status(thm)],[30092])).
% 218.83/141.38 tff(30094,plain,
% 218.83/141.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB24, 1) <=> v84(constB23, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 1) <=> v84(constB23, 1)))),
% 218.83/141.38 inference(transitivity,[status(thm)],[30093, 30089])).
% 218.83/141.38 tff(30095,plain,
% 218.83/141.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB24, 1) <=> v84(constB23, 1)))),
% 218.83/141.38 inference(quant_inst,[status(thm)],[])).
% 218.83/141.38 tff(30096,plain,
% 218.83/141.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 1) <=> v84(constB23, 1))),
% 218.83/141.38 inference(modus_ponens,[status(thm)],[30095, 30094])).
% 218.83/141.38 tff(30097,plain,
% 218.83/141.38 (v84(constB24, 1) <=> v84(constB23, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30096, 30088])).
% 218.83/141.38 tff(30098,plain,
% 218.83/141.38 ((~(v84(constB24, 1) <=> v84(constB23, 1))) | v84(constB24, 1) | (~v84(constB23, 1))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30099,plain,
% 218.83/141.38 ((~(v84(constB24, 1) <=> v84(constB23, 1))) | v84(constB24, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30098, 29918])).
% 218.83/141.38 tff(30100,plain,
% 218.83/141.38 (v84(constB24, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30099, 30097])).
% 218.83/141.38 tff(30101,plain,
% 218.83/141.38 ((~(v84(constB25, 1) <=> v84(constB24, 1))) | v84(constB25, 1) | (~v84(constB24, 1))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30102,plain,
% 218.83/141.38 ((~(v84(constB25, 1) <=> v84(constB24, 1))) | v84(constB25, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30101, 30100])).
% 218.83/141.38 tff(30103,plain,
% 218.83/141.38 (v84(constB25, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30102, 29741])).
% 218.83/141.38 tff(30104,plain,
% 218.83/141.38 ((v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))) | (~v84(constB25, 1))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30105,plain,
% 218.83/141.38 (v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30104, 30103])).
% 218.83/141.38 tff(30106,plain,
% 218.83/141.38 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB25) <=> (v111(constB25) | v116(constB25)))),
% 218.83/141.38 inference(quant_inst,[status(thm)],[])).
% 218.83/141.38 tff(30107,plain,
% 218.83/141.38 (v110(constB25) <=> (v111(constB25) | v116(constB25))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30106, 265])).
% 218.83/141.38 tff(30108,plain,
% 218.83/141.38 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB25) <=> (v112(constB25) | v115(constB25)))),
% 218.83/141.38 inference(quant_inst,[status(thm)],[])).
% 218.83/141.38 tff(30109,plain,
% 218.83/141.38 (v111(constB25) <=> (v112(constB25) | v115(constB25))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30108, 274])).
% 218.83/141.38 tff(30110,plain,
% 218.83/141.38 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB25) <=> (v113(constB25) | v114(constB25)))),
% 218.83/141.38 inference(quant_inst,[status(thm)],[])).
% 218.83/141.38 tff(30111,plain,
% 218.83/141.38 (v112(constB25) <=> (v113(constB25) | v114(constB25))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30110, 283])).
% 218.83/141.38 tff(30112,plain,
% 218.83/141.38 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))))),
% 218.83/141.38 inference(quant_inst,[status(thm)],[])).
% 218.83/141.38 tff(30113,plain,
% 218.83/141.38 (v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30112, 298])).
% 218.83/141.38 tff(30114,assumption,(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))), introduced(assumption)).
% 218.83/141.38 tff(30115,plain,
% 218.83/141.38 ((~(v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))))) | (~v114(constB25)) | (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30116,plain,
% 218.83/141.38 ((~(v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))))) | (~v114(constB25))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30115, 30114])).
% 218.83/141.38 tff(30117,plain,
% 218.83/141.38 (~v114(constB25)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30116, 30113])).
% 218.83/141.38 tff(30118,plain,
% 218.83/141.38 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))),
% 218.83/141.38 inference(quant_inst,[status(thm)],[])).
% 218.83/141.38 tff(30119,plain,
% 218.83/141.38 (v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30118, 597])).
% 218.83/141.38 tff(30120,plain,
% 218.83/141.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 0) <=> v84(constB24, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 0) <=> v84(constB24, 0)))),
% 218.83/141.38 inference(rewrite,[status(thm)],[])).
% 218.83/141.38 tff(30121,plain,
% 218.83/141.38 (($false | $false | (v84(constB25, 0) <=> v84(constB24, 0))) <=> (v84(constB25, 0) <=> v84(constB24, 0))),
% 218.83/141.38 inference(rewrite,[status(thm)],[])).
% 218.83/141.38 tff(30122,plain,
% 218.83/141.38 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB25, 0) <=> v84(constB24, 0))) <=> ($false | $false | (v84(constB25, 0) <=> v84(constB24, 0)))),
% 218.83/141.38 inference(monotonicity,[status(thm)],[250, 249])).
% 218.83/141.38 tff(30123,plain,
% 218.83/141.38 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB25, 0) <=> v84(constB24, 0))) <=> (v84(constB25, 0) <=> v84(constB24, 0))),
% 218.83/141.38 inference(transitivity,[status(thm)],[30122, 30121])).
% 218.83/141.38 tff(30124,plain,
% 218.83/141.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB25, 0) <=> v84(constB24, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 0) <=> v84(constB24, 0)))),
% 218.83/141.38 inference(monotonicity,[status(thm)],[30123])).
% 218.83/141.38 tff(30125,plain,
% 218.83/141.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB25, 0) <=> v84(constB24, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 0) <=> v84(constB24, 0)))),
% 218.83/141.38 inference(transitivity,[status(thm)],[30124, 30120])).
% 218.83/141.38 tff(30126,plain,
% 218.83/141.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB25, 0) <=> v84(constB24, 0)))),
% 218.83/141.38 inference(quant_inst,[status(thm)],[])).
% 218.83/141.38 tff(30127,plain,
% 218.83/141.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 0) <=> v84(constB24, 0))),
% 218.83/141.38 inference(modus_ponens,[status(thm)],[30126, 30125])).
% 218.83/141.38 tff(30128,plain,
% 218.83/141.38 (v84(constB25, 0) <=> v84(constB24, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30127, 29732])).
% 218.83/141.38 tff(30129,plain,
% 218.83/141.38 (v107(constB19) <=> (v108(constB19) | v119(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26374, 187])).
% 218.83/141.38 tff(30130,plain,
% 218.83/141.38 (v108(constB19) <=> (v109(constB19) | v118(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26365, 428])).
% 218.83/141.38 tff(30131,plain,
% 218.83/141.38 (v108(constB18) <=> (v109(constB18) | v118(constB18))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21631, 428])).
% 218.83/141.38 tff(30132,assumption,(~(v108(constB18) | v119(constB18))), introduced(assumption)).
% 218.83/141.38 tff(30133,plain,
% 218.83/141.38 (~v108(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21637, 30132])).
% 218.83/141.38 tff(30134,plain,
% 218.83/141.38 ((~(v108(constB18) <=> (v109(constB18) | v118(constB18)))) | (~(v109(constB18) | v118(constB18)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21634, 30133])).
% 218.83/141.38 tff(30135,plain,
% 218.83/141.38 (~(v109(constB18) | v118(constB18))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30134, 30131])).
% 218.83/141.38 tff(30136,plain,
% 218.83/141.38 ((v109(constB18) | v118(constB18)) | (~v118(constB18))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30137,plain,
% 218.83/141.38 (~v118(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30136, 30135])).
% 218.83/141.38 tff(30138,plain,
% 218.83/141.38 ((~(v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))))) | v118(constB18) | (v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30139,plain,
% 218.83/141.38 ((~(v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))))) | (v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30138, 30137])).
% 218.83/141.38 tff(30140,plain,
% 218.83/141.38 (v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30139, 22532])).
% 218.83/141.38 tff(30141,plain,
% 218.83/141.38 (~v109(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21628, 30135])).
% 218.83/141.38 tff(30142,plain,
% 218.83/141.38 ((~(v109(constB18) <=> (v110(constB18) | v117(constB18)))) | (~(v110(constB18) | v117(constB18)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21547, 30141])).
% 218.83/141.38 tff(30143,plain,
% 218.83/141.38 (~(v110(constB18) | v117(constB18))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30142, 21545])).
% 218.83/141.38 tff(30144,plain,
% 218.83/141.38 (~v110(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21550, 30143])).
% 218.83/141.38 tff(30145,plain,
% 218.83/141.38 ((~(v110(constB18) <=> (v111(constB18) | v116(constB18)))) | (~(v111(constB18) | v116(constB18)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21552, 30144])).
% 218.83/141.38 tff(30146,plain,
% 218.83/141.38 (~(v111(constB18) | v116(constB18))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30145, 21543])).
% 218.83/141.38 tff(30147,plain,
% 218.83/141.38 (~v111(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21555, 30146])).
% 218.83/141.38 tff(30148,plain,
% 218.83/141.38 ((~(v111(constB18) <=> (v112(constB18) | v115(constB18)))) | (~(v112(constB18) | v115(constB18)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21557, 30147])).
% 218.83/141.38 tff(30149,plain,
% 218.83/141.38 (~(v112(constB18) | v115(constB18))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30148, 21541])).
% 218.83/141.38 tff(30150,plain,
% 218.83/141.38 (~v112(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21578, 30149])).
% 218.83/141.38 tff(30151,plain,
% 218.83/141.38 ((~(v112(constB18) <=> (v113(constB18) | v114(constB18)))) | (~(v113(constB18) | v114(constB18)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21575, 30150])).
% 218.83/141.38 tff(30152,plain,
% 218.83/141.38 (~(v113(constB18) | v114(constB18))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30151, 21566])).
% 218.83/141.38 tff(30153,plain,
% 218.83/141.38 (~v114(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21573, 30152])).
% 218.83/141.38 tff(30154,plain,
% 218.83/141.38 ((~(v114(constB18) <=> (~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))))) | (v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21570, 30153])).
% 218.83/141.38 tff(30155,plain,
% 218.83/141.38 (v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30154, 21568])).
% 218.83/141.38 tff(30156,plain,
% 218.83/141.38 (~v116(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21590, 30146])).
% 218.83/141.38 tff(30157,plain,
% 218.83/141.38 ((~(v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0)))))) | ((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21592, 30156])).
% 218.83/141.38 tff(30158,plain,
% 218.83/141.38 ((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30157, 21589])).
% 218.83/141.38 tff(30159,plain,
% 218.83/141.38 ((v110(constB18) | v117(constB18)) | (~v117(constB18))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30160,plain,
% 218.83/141.38 (~v117(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30159, 30143])).
% 218.83/141.38 tff(30161,plain,
% 218.83/141.38 ((~(v117(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))))) | v117(constB18) | (v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30162,plain,
% 218.83/141.38 ((~(v117(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))))) | (v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30161, 30160])).
% 218.83/141.38 tff(30163,plain,
% 218.83/141.38 (v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30162, 22557])).
% 218.83/141.38 tff(30164,plain,
% 218.83/141.38 (~v115(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21559, 30149])).
% 218.83/141.38 tff(30165,plain,
% 218.83/141.38 ((~(v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2))))) | (v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21561, 30164])).
% 218.83/141.38 tff(30166,plain,
% 218.83/141.38 (v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30165, 21539])).
% 218.83/141.38 tff(30167,plain,
% 218.83/141.38 ((v108(constB18) | v119(constB18)) | (~v119(constB18))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30168,plain,
% 218.83/141.38 (~v119(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30167, 30132])).
% 218.83/141.38 tff(30169,plain,
% 218.83/141.38 ((~(v119(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2)))))) | v119(constB18) | (v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2)))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30170,plain,
% 218.83/141.38 ((~(v119(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2)))))) | (v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30169, 30168])).
% 218.83/141.38 tff(30171,plain,
% 218.83/141.38 (v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30170, 22540])).
% 218.83/141.38 tff(30172,plain,
% 218.83/141.38 (~v113(constB18)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21622, 30152])).
% 218.83/141.38 tff(30173,plain,
% 218.83/141.38 ((~(v113(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))))) | (v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21624, 30172])).
% 218.83/141.38 tff(30174,plain,
% 218.83/141.38 (v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30173, 21529])).
% 218.83/141.38 tff(30175,plain,
% 218.83/141.38 (v84(constB18, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21618, 30174, 30171, 30166, 30163])).
% 218.83/141.38 tff(30176,plain,
% 218.83/141.38 (v84(constB18, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21601, 30175, 30158, 30155])).
% 218.83/141.38 tff(30177,plain,
% 218.83/141.38 ((~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))) | v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30178,plain,
% 218.83/141.38 (v84(constB18, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30177, 30175, 30176, 30140])).
% 218.83/141.38 tff(30179,plain,
% 218.83/141.38 ((~(v84(constB19, 1) <=> v84(constB18, 1))) | v84(constB19, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26675, 30178])).
% 218.83/141.38 tff(30180,plain,
% 218.83/141.38 (v84(constB19, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30179, 29762])).
% 218.83/141.38 tff(30181,plain,
% 218.83/141.38 ((v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))) | (~v84(constB19, 1))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30182,plain,
% 218.83/141.38 (v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30181, 30180])).
% 218.83/141.38 tff(30183,plain,
% 218.83/141.38 ((~(v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))))) | (~v114(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25421, 30182])).
% 218.83/141.38 tff(30184,plain,
% 218.83/141.38 (~v114(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30183, 26766])).
% 218.83/141.38 tff(30185,plain,
% 218.83/141.38 ((~(v84(constB19, 0) <=> v84(constB18, 0))) | v84(constB19, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26809, 30175])).
% 218.83/141.38 tff(30186,plain,
% 218.83/141.38 (v84(constB19, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30185, 29794])).
% 218.83/141.38 tff(30187,plain,
% 218.83/141.38 (v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26812, 30186])).
% 218.83/141.38 tff(30188,plain,
% 218.83/141.38 ((~(v113(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))))) | (~v113(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26774, 30187])).
% 218.83/141.38 tff(30189,plain,
% 218.83/141.38 (~v113(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30188, 26771])).
% 218.83/141.38 tff(30190,plain,
% 218.83/141.38 (~(v113(constB19) | v114(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27194, 30189, 30184])).
% 218.83/141.38 tff(30191,plain,
% 218.83/141.38 ((~(v112(constB19) <=> (v113(constB19) | v114(constB19)))) | (~v112(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27196, 30190])).
% 218.83/141.38 tff(30192,plain,
% 218.83/141.38 (~v112(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30191, 26855])).
% 218.83/141.38 tff(30193,plain,
% 218.83/141.38 ((~(v84(constB19, 2) <=> v84(constB18, 2))) | v84(constB19, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[21525, 30176])).
% 218.83/141.38 tff(30194,plain,
% 218.83/141.38 (v84(constB19, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30193, 29790])).
% 218.83/141.38 tff(30195,plain,
% 218.83/141.38 (v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25401, 30194])).
% 218.83/141.38 tff(30196,plain,
% 218.83/141.38 ((~(v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))) | (~v115(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25412, 30195])).
% 218.83/141.38 tff(30197,plain,
% 218.83/141.38 (~v115(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30196, 26762])).
% 218.83/141.38 tff(30198,plain,
% 218.83/141.38 ((~(v112(constB19) | v115(constB19))) | v112(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27199, 30197])).
% 218.83/141.38 tff(30199,plain,
% 218.83/141.38 (~(v112(constB19) | v115(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30198, 30192])).
% 218.83/141.38 tff(30200,plain,
% 218.83/141.38 (~v111(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27202, 30199, 26850])).
% 218.83/141.38 tff(30201,plain,
% 218.83/141.38 (v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26757, 30194])).
% 218.83/141.38 tff(30202,plain,
% 218.83/141.38 ((~(v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))))) | (~v116(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26759, 30201])).
% 218.83/141.38 tff(30203,plain,
% 218.83/141.38 (~v116(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30202, 26756])).
% 218.83/141.38 tff(30204,plain,
% 218.83/141.38 ((~(v111(constB19) | v116(constB19))) | v111(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27226, 30203])).
% 218.83/141.38 tff(30205,plain,
% 218.83/141.38 (~(v111(constB19) | v116(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30204, 30200])).
% 218.83/141.38 tff(30206,plain,
% 218.83/141.38 (~v110(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27223, 30205, 26843])).
% 218.83/141.38 tff(30207,plain,
% 218.83/141.38 (v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29804, 30163])).
% 218.83/141.38 tff(30208,plain,
% 218.83/141.38 ((~(v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))))) | (~v117(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26748, 30207])).
% 218.83/141.38 tff(30209,plain,
% 218.83/141.38 (~v117(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30208, 26348])).
% 218.83/141.38 tff(30210,plain,
% 218.83/141.38 ((~(v110(constB19) | v117(constB19))) | v110(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27220, 30209])).
% 218.83/141.38 tff(30211,plain,
% 218.83/141.38 (~(v110(constB19) | v117(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30210, 30206])).
% 218.83/141.38 tff(30212,plain,
% 218.83/141.38 (~v109(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27216, 30211, 26353])).
% 218.83/141.38 tff(30213,plain,
% 218.83/141.38 (v118(constB19) <=> (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26742, 394])).
% 218.83/141.38 tff(30214,plain,
% 218.83/141.38 (v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29765, 30180])).
% 218.83/141.38 tff(30215,plain,
% 218.83/141.38 ((~(v118(constB19) <=> (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2)))))) | (~v118(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26745, 30214])).
% 218.83/141.38 tff(30216,plain,
% 218.83/141.38 (~v118(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30215, 30213])).
% 218.83/141.38 tff(30217,plain,
% 218.83/141.38 ((~(v109(constB19) | v118(constB19))) | v109(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27214, 30216])).
% 218.83/141.38 tff(30218,plain,
% 218.83/141.38 (~(v109(constB19) | v118(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30217, 30212])).
% 218.83/141.38 tff(30219,plain,
% 218.83/141.38 (~v108(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27211, 30218, 30130])).
% 218.83/141.38 tff(30220,plain,
% 218.83/141.38 (v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26814, 30186])).
% 218.83/141.38 tff(30221,plain,
% 218.83/141.38 ((~(v119(constB19) <=> (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))))) | (~v119(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27206, 30220])).
% 218.83/141.38 tff(30222,plain,
% 218.83/141.38 (~v119(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30221, 26702])).
% 218.83/141.38 tff(30223,plain,
% 218.83/141.38 ((~(v108(constB19) | v119(constB19))) | v108(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27209, 30222])).
% 218.83/141.38 tff(30224,plain,
% 218.83/141.38 (~(v108(constB19) | v119(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30223, 30219])).
% 218.83/141.38 tff(30225,plain,
% 218.83/141.38 (~v107(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26951, 30224, 30129])).
% 218.83/141.38 tff(30226,plain,
% 218.83/141.38 ((~v107(constB19)) | (~v120(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26949, 30225])).
% 218.83/141.38 tff(30227,plain,
% 218.83/141.38 (~v106(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26947, 30226])).
% 218.83/141.38 tff(30228,plain,
% 218.83/141.38 (~(v105(constB19) | v106(constB19))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26944, 30227])).
% 218.83/141.38 tff(30229,plain,
% 218.83/141.38 (~v102(constB19)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26914, 30228])).
% 218.83/141.38 tff(30230,plain,
% 218.83/141.38 (~v104(constB20)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26917, 30229])).
% 218.83/141.38 tff(30231,plain,
% 218.83/141.38 ((~v95(constB20)) | (~v104(constB20))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26919, 30230])).
% 218.83/141.38 tff(30232,plain,
% 218.83/141.38 (~v94(constB20)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26922, 30231])).
% 218.83/141.38 tff(30233,plain,
% 218.83/141.38 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26930, 30232])).
% 218.83/141.38 tff(30234,plain,
% 218.83/141.38 (v84(constB20, 1) <=> v84(constB19, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29830, 30233])).
% 218.83/141.38 tff(30235,plain,
% 218.83/141.38 ((~(v84(constB20, 1) <=> v84(constB19, 1))) | v84(constB20, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29832, 30180])).
% 218.83/141.38 tff(30236,plain,
% 218.83/141.38 (v84(constB20, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30235, 30234])).
% 218.83/141.38 tff(30237,plain,
% 218.83/141.38 ((~(v84(constB21, 1) <=> v84(constB20, 1))) | v84(constB21, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27065, 30236])).
% 218.83/141.38 tff(30238,plain,
% 218.83/141.38 (v84(constB21, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30237, 29757])).
% 218.83/141.38 tff(30239,plain,
% 218.83/141.38 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27079, 30238])).
% 218.83/141.38 tff(30240,plain,
% 218.83/141.38 ((~(v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))))) | (~v114(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27081, 30239])).
% 218.83/141.38 tff(30241,plain,
% 218.83/141.38 (~v114(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30240, 26079])).
% 218.83/141.38 tff(30242,plain,
% 218.83/141.38 (v84(constB20, 0) <=> v84(constB19, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26939, 30233])).
% 218.83/141.38 tff(30243,plain,
% 218.83/141.38 ((~(v84(constB20, 0) <=> v84(constB19, 0))) | v84(constB20, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26911, 30186])).
% 218.83/141.38 tff(30244,plain,
% 218.83/141.38 (v84(constB20, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30243, 30242])).
% 218.83/141.38 tff(30245,plain,
% 218.83/141.38 ((~(v84(constB21, 0) <=> v84(constB20, 0))) | v84(constB21, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26829, 30244])).
% 218.83/141.38 tff(30246,plain,
% 218.83/141.38 (v84(constB21, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30245, 27101])).
% 218.83/141.38 tff(30247,plain,
% 218.83/141.38 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29846, 30246])).
% 218.83/141.38 tff(30248,plain,
% 218.83/141.38 ((~(v113(constB21) <=> (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))))) | (~v113(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27086, 30247])).
% 218.83/141.38 tff(30249,plain,
% 218.83/141.38 (~v113(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30248, 29840])).
% 218.83/141.38 tff(30250,plain,
% 218.83/141.38 (~(v113(constB21) | v114(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29850, 30249, 30241])).
% 218.83/141.38 tff(30251,plain,
% 218.83/141.38 ((~(v112(constB21) <=> (v113(constB21) | v114(constB21)))) | (~v112(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29852, 30250])).
% 218.83/141.38 tff(30252,plain,
% 218.83/141.38 (~v112(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30251, 26078])).
% 218.83/141.38 tff(30253,plain,
% 218.83/141.38 ((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26816, 30246])).
% 218.83/141.38 tff(30254,plain,
% 218.83/141.38 ((~(v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))))) | (~v115(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26280, 30253])).
% 218.83/141.38 tff(30255,plain,
% 218.83/141.38 (~v115(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30254, 25585])).
% 218.83/141.38 tff(30256,plain,
% 218.83/141.38 ((~(v112(constB21) | v115(constB21))) | v112(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29858, 30255])).
% 218.83/141.38 tff(30257,plain,
% 218.83/141.38 (~(v112(constB21) | v115(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30256, 30252])).
% 218.83/141.38 tff(30258,plain,
% 218.83/141.38 (~v111(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29861, 30257, 25587])).
% 218.83/141.38 tff(30259,plain,
% 218.83/141.38 (v84(constB20, 2) <=> v84(constB19, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26983, 30233])).
% 218.83/141.38 tff(30260,plain,
% 218.83/141.38 ((~(v84(constB20, 2) <=> v84(constB19, 2))) | v84(constB20, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26973, 30194])).
% 218.83/141.38 tff(30261,plain,
% 218.83/141.38 (v84(constB20, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30260, 30259])).
% 218.83/141.38 tff(30262,plain,
% 218.83/141.38 ((~(v84(constB21, 2) <=> v84(constB20, 2))) | v84(constB21, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[26296, 30261])).
% 218.83/141.38 tff(30263,plain,
% 218.83/141.38 (v84(constB21, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30262, 27009])).
% 218.83/141.38 tff(30264,plain,
% 218.83/141.38 ((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27031, 30263])).
% 218.83/141.38 tff(30265,plain,
% 218.83/141.38 ((~(v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))))) | (~v116(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27033, 30264])).
% 218.83/141.38 tff(30266,plain,
% 218.83/141.38 (~v116(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30265, 25568])).
% 218.83/141.38 tff(30267,plain,
% 218.83/141.38 ((~(v111(constB21) | v116(constB21))) | v111(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29871, 30266])).
% 218.83/141.38 tff(30268,plain,
% 218.83/141.38 (~(v111(constB21) | v116(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30267, 30258])).
% 218.83/141.38 tff(30269,plain,
% 218.83/141.38 (~v110(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29874, 30268, 25492])).
% 218.83/141.38 tff(30270,plain,
% 218.83/141.38 (v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27074, 30238])).
% 218.83/141.38 tff(30271,plain,
% 218.83/141.38 ((~(v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))))) | (~v117(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27076, 30270])).
% 218.83/141.38 tff(30272,plain,
% 218.83/141.38 (~v117(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30271, 27073])).
% 218.83/141.38 tff(30273,plain,
% 218.83/141.38 ((~(v110(constB21) | v117(constB21))) | v110(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29879, 30272])).
% 218.83/141.38 tff(30274,plain,
% 218.83/141.38 (~(v110(constB21) | v117(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30273, 30269])).
% 218.83/141.38 tff(30275,plain,
% 218.83/141.38 (~v109(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29882, 30274, 25605])).
% 218.83/141.38 tff(30276,plain,
% 218.83/141.38 (v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27068, 30238])).
% 218.83/141.38 tff(30277,plain,
% 218.83/141.38 ((~(v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))))) | (~v118(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27070, 30276])).
% 218.83/141.38 tff(30278,plain,
% 218.83/141.38 (~v118(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30277, 27037])).
% 218.83/141.38 tff(30279,plain,
% 218.83/141.38 ((~(v109(constB21) | v118(constB21))) | v109(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29887, 30278])).
% 218.83/141.38 tff(30280,plain,
% 218.83/141.38 (~(v109(constB21) | v118(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30279, 30275])).
% 218.83/141.38 tff(30281,plain,
% 218.83/141.38 (~v108(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29890, 30280, 25607])).
% 218.83/141.38 tff(30282,plain,
% 218.83/141.38 ((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29892, 30246])).
% 218.83/141.38 tff(30283,plain,
% 218.83/141.38 ((~(v119(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2)))))) | (~v119(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29894, 30282])).
% 218.83/141.38 tff(30284,plain,
% 218.83/141.38 (~v119(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30283, 27100])).
% 218.83/141.38 tff(30285,plain,
% 218.83/141.38 ((~(v108(constB21) | v119(constB21))) | v108(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29897, 30284])).
% 218.83/141.38 tff(30286,plain,
% 218.83/141.38 (~(v108(constB21) | v119(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30285, 30281])).
% 218.83/141.38 tff(30287,plain,
% 218.83/141.38 (~v107(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29900, 30286, 25609])).
% 218.83/141.38 tff(30288,plain,
% 218.83/141.38 ((~v107(constB21)) | (~v120(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29902, 30287])).
% 218.83/141.38 tff(30289,plain,
% 218.83/141.38 (~v106(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29905, 30288])).
% 218.83/141.38 tff(30290,plain,
% 218.83/141.38 (~(v105(constB21) | v106(constB21))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25502, 30289])).
% 218.83/141.38 tff(30291,plain,
% 218.83/141.38 (~v102(constB21)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25507, 30290])).
% 218.83/141.38 tff(30292,plain,
% 218.83/141.38 (~v104(constB22)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25517, 30291])).
% 218.83/141.38 tff(30293,plain,
% 218.83/141.38 ((~v95(constB22)) | (~v104(constB22))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25519, 30292])).
% 218.83/141.38 tff(30294,plain,
% 218.83/141.38 (~v94(constB22)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25526, 30293])).
% 218.83/141.38 tff(30295,plain,
% 218.83/141.38 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25534, 30294])).
% 218.83/141.38 tff(30296,plain,
% 218.83/141.38 (v84(constB22, 1) <=> v84(constB21, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25543, 30295])).
% 218.83/141.38 tff(30297,plain,
% 218.83/141.38 ((~(v84(constB22, 1) <=> v84(constB21, 1))) | v84(constB22, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29914, 30238])).
% 218.83/141.38 tff(30298,plain,
% 218.83/141.38 (v84(constB22, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30297, 30296])).
% 218.83/141.38 tff(30299,plain,
% 218.83/141.38 ((~(v84(constB23, 1) <=> v84(constB22, 1))) | v84(constB23, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[27981, 30298])).
% 218.83/141.38 tff(30300,plain,
% 218.83/141.38 (v84(constB23, 1)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30299, 29756])).
% 218.83/141.38 tff(30301,plain,
% 218.83/141.38 (v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25718, 30300])).
% 218.83/141.38 tff(30302,plain,
% 218.83/141.38 ((~(v114(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))))) | (~v114(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29920, 30301])).
% 218.83/141.38 tff(30303,plain,
% 218.83/141.38 (~v114(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30302, 29755])).
% 218.83/141.38 tff(30304,plain,
% 218.83/141.38 (v84(constB22, 0) <=> v84(constB21, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30023, 30295])).
% 218.83/141.38 tff(30305,plain,
% 218.83/141.38 ((~(v84(constB22, 0) <=> v84(constB21, 0))) | v84(constB22, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30025, 30246])).
% 218.83/141.38 tff(30306,plain,
% 218.83/141.38 (v84(constB22, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30305, 30304])).
% 218.83/141.38 tff(30307,plain,
% 218.83/141.38 ((~(v84(constB23, 0) <=> v84(constB22, 0))) | v84(constB23, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25803, 30306])).
% 218.83/141.38 tff(30308,plain,
% 218.83/141.38 (v84(constB23, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30307, 30015])).
% 218.83/141.38 tff(30309,plain,
% 218.83/141.38 ((v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)) | (~v84(constB23, 0))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30310,plain,
% 218.83/141.38 (v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30309, 30308])).
% 218.83/141.38 tff(30311,plain,
% 218.83/141.38 ((~(v113(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2))))) | (~v113(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29927, 30310])).
% 218.83/141.38 tff(30312,plain,
% 218.83/141.38 (~v113(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30311, 29924])).
% 218.83/141.38 tff(30313,plain,
% 218.83/141.38 (~(v113(constB23) | v114(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29930, 30312, 30303])).
% 218.83/141.38 tff(30314,plain,
% 218.83/141.38 ((~(v112(constB23) <=> (v113(constB23) | v114(constB23)))) | (~v112(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29932, 30313])).
% 218.83/141.38 tff(30315,plain,
% 218.83/141.38 (~v112(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30314, 29753])).
% 218.83/141.38 tff(30316,plain,
% 218.83/141.38 (v84(constB22, 2) <=> v84(constB21, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25556, 30295])).
% 218.83/141.38 tff(30317,plain,
% 218.83/141.38 ((~(v84(constB22, 2) <=> v84(constB21, 2))) | v84(constB22, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25559, 30263])).
% 218.83/141.38 tff(30318,plain,
% 218.83/141.38 (v84(constB22, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30317, 30316])).
% 218.83/141.38 tff(30319,plain,
% 218.83/141.38 ((~(v84(constB23, 2) <=> v84(constB22, 2))) | v84(constB23, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25488, 30318])).
% 218.83/141.38 tff(30320,plain,
% 218.83/141.38 (v84(constB23, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30319, 29942])).
% 218.83/141.38 tff(30321,plain,
% 218.83/141.38 ((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29948, 30320])).
% 218.83/141.38 tff(30322,plain,
% 218.83/141.38 ((~(v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))))) | (~v115(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29950, 30321])).
% 218.83/141.38 tff(30323,plain,
% 218.83/141.38 (~v115(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30322, 29941])).
% 218.83/141.38 tff(30324,plain,
% 218.83/141.38 ((~(v112(constB23) | v115(constB23))) | v112(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29953, 30323])).
% 218.83/141.38 tff(30325,plain,
% 218.83/141.38 (~(v112(constB23) | v115(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30324, 30315])).
% 218.83/141.38 tff(30326,plain,
% 218.83/141.38 (~v111(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29956, 30325, 29751])).
% 218.83/141.38 tff(30327,plain,
% 218.83/141.38 ((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[25475, 30320])).
% 218.83/141.38 tff(30328,plain,
% 218.83/141.38 ((~(v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))))) | (~v116(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29966, 30327])).
% 218.83/141.38 tff(30329,plain,
% 218.83/141.38 (~v116(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30328, 29964])).
% 218.83/141.38 tff(30330,plain,
% 218.83/141.38 ((~(v111(constB23) | v116(constB23))) | v111(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29969, 30329])).
% 218.83/141.38 tff(30331,plain,
% 218.83/141.38 (~(v111(constB23) | v116(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30330, 30326])).
% 218.83/141.38 tff(30332,plain,
% 218.83/141.38 (~v110(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29972, 30331, 29749])).
% 218.83/141.38 tff(30333,plain,
% 218.83/141.38 (v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29981, 30300])).
% 218.83/141.38 tff(30334,plain,
% 218.83/141.38 ((~(v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))) | (~v117(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29983, 30333])).
% 218.83/141.38 tff(30335,plain,
% 218.83/141.38 (~v117(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30334, 29980])).
% 218.83/141.38 tff(30336,plain,
% 218.83/141.38 ((~(v110(constB23) | v117(constB23))) | v110(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29986, 30335])).
% 218.83/141.38 tff(30337,plain,
% 218.83/141.38 (~(v110(constB23) | v117(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30336, 30332])).
% 218.83/141.38 tff(30338,plain,
% 218.83/141.38 (~v109(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29989, 30337, 29747])).
% 218.83/141.38 tff(30339,plain,
% 218.83/141.38 (v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[29998, 30300])).
% 218.83/141.38 tff(30340,plain,
% 218.83/141.38 ((~(v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))))) | (~v118(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30000, 30339])).
% 218.83/141.38 tff(30341,plain,
% 218.83/141.38 (~v118(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30340, 29997])).
% 218.83/141.38 tff(30342,plain,
% 218.83/141.38 ((~(v109(constB23) | v118(constB23))) | v109(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30003, 30341])).
% 218.83/141.38 tff(30343,plain,
% 218.83/141.38 (~(v109(constB23) | v118(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30342, 30338])).
% 218.83/141.38 tff(30344,plain,
% 218.83/141.38 (~v108(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30006, 30343, 29745])).
% 218.83/141.38 tff(30345,plain,
% 218.83/141.38 ((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30030, 30308])).
% 218.83/141.38 tff(30346,plain,
% 218.83/141.38 ((~(v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))))) | (~v119(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30032, 30345])).
% 218.83/141.38 tff(30347,plain,
% 218.83/141.38 (~v119(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30346, 30014])).
% 218.83/141.38 tff(30348,plain,
% 218.83/141.38 ((~(v108(constB23) | v119(constB23))) | v108(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30035, 30347])).
% 218.83/141.38 tff(30349,plain,
% 218.83/141.38 (~(v108(constB23) | v119(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30348, 30344])).
% 218.83/141.38 tff(30350,plain,
% 218.83/141.38 (~v107(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30038, 30349, 29743])).
% 218.83/141.38 tff(30351,plain,
% 218.83/141.38 ((~v107(constB23)) | (~v120(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30040, 30350])).
% 218.83/141.38 tff(30352,plain,
% 218.83/141.38 (~v106(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30045, 30351])).
% 218.83/141.38 tff(30353,plain,
% 218.83/141.38 (~(v105(constB23) | v106(constB23))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30055, 30352])).
% 218.83/141.38 tff(30354,plain,
% 218.83/141.38 (~v102(constB23)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30060, 30353])).
% 218.83/141.38 tff(30355,plain,
% 218.83/141.38 (~v104(constB24)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30070, 30354])).
% 218.83/141.38 tff(30356,plain,
% 218.83/141.38 ((~v95(constB24)) | (~v104(constB24))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30072, 30355])).
% 218.83/141.38 tff(30357,plain,
% 218.83/141.38 (~v94(constB24)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30079, 30356])).
% 218.83/141.38 tff(30358,plain,
% 218.83/141.38 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30087, 30357])).
% 218.83/141.38 tff(30359,plain,
% 218.83/141.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 0) <=> v84(constB23, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 0) <=> v84(constB23, 0)))),
% 218.83/141.38 inference(rewrite,[status(thm)],[])).
% 218.83/141.38 tff(30360,plain,
% 218.83/141.38 (($false | $false | (v84(constB24, 0) <=> v84(constB23, 0))) <=> (v84(constB24, 0) <=> v84(constB23, 0))),
% 218.83/141.38 inference(rewrite,[status(thm)],[])).
% 218.83/141.38 tff(30361,plain,
% 218.83/141.38 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB24, 0) <=> v84(constB23, 0))) <=> ($false | $false | (v84(constB24, 0) <=> v84(constB23, 0)))),
% 218.83/141.38 inference(monotonicity,[status(thm)],[250, 249])).
% 218.83/141.38 tff(30362,plain,
% 218.83/141.38 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB24, 0) <=> v84(constB23, 0))) <=> (v84(constB24, 0) <=> v84(constB23, 0))),
% 218.83/141.38 inference(transitivity,[status(thm)],[30361, 30360])).
% 218.83/141.38 tff(30363,plain,
% 218.83/141.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB24, 0) <=> v84(constB23, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 0) <=> v84(constB23, 0)))),
% 218.83/141.38 inference(monotonicity,[status(thm)],[30362])).
% 218.83/141.38 tff(30364,plain,
% 218.83/141.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB24, 0) <=> v84(constB23, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 0) <=> v84(constB23, 0)))),
% 218.83/141.38 inference(transitivity,[status(thm)],[30363, 30359])).
% 218.83/141.38 tff(30365,plain,
% 218.83/141.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB24, 0) <=> v84(constB23, 0)))),
% 218.83/141.38 inference(quant_inst,[status(thm)],[])).
% 218.83/141.38 tff(30366,plain,
% 218.83/141.38 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 0) <=> v84(constB23, 0))),
% 218.83/141.38 inference(modus_ponens,[status(thm)],[30365, 30364])).
% 218.83/141.38 tff(30367,plain,
% 218.83/141.38 (v84(constB24, 0) <=> v84(constB23, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30366, 30358])).
% 218.83/141.38 tff(30368,plain,
% 218.83/141.38 ((~(v84(constB24, 0) <=> v84(constB23, 0))) | v84(constB24, 0) | (~v84(constB23, 0))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30369,plain,
% 218.83/141.38 ((~(v84(constB24, 0) <=> v84(constB23, 0))) | v84(constB24, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30368, 30308])).
% 218.83/141.38 tff(30370,plain,
% 218.83/141.38 (v84(constB24, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30369, 30367])).
% 218.83/141.38 tff(30371,plain,
% 218.83/141.38 ((~(v84(constB25, 0) <=> v84(constB24, 0))) | v84(constB25, 0) | (~v84(constB24, 0))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30372,plain,
% 218.83/141.38 ((~(v84(constB25, 0) <=> v84(constB24, 0))) | v84(constB25, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30371, 30370])).
% 218.83/141.38 tff(30373,plain,
% 218.83/141.38 (v84(constB25, 0)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30372, 30128])).
% 218.83/141.38 tff(30374,plain,
% 218.83/141.38 ((v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)) | (~v84(constB25, 0))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30375,plain,
% 218.83/141.38 (v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30374, 30373])).
% 218.83/141.38 tff(30376,plain,
% 218.83/141.38 ((~(v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))) | (~v113(constB25)) | (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30377,plain,
% 218.83/141.38 ((~(v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))) | (~v113(constB25))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30376, 30375])).
% 218.83/141.38 tff(30378,plain,
% 218.83/141.38 (~v113(constB25)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30377, 30119])).
% 218.83/141.38 tff(30379,plain,
% 218.83/141.38 ((~(v113(constB25) | v114(constB25))) | v113(constB25) | v114(constB25)),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30380,plain,
% 218.83/141.38 (~(v113(constB25) | v114(constB25))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30379, 30378, 30117])).
% 218.83/141.38 tff(30381,plain,
% 218.83/141.38 ((~(v112(constB25) <=> (v113(constB25) | v114(constB25)))) | (~v112(constB25)) | (v113(constB25) | v114(constB25))),
% 218.83/141.38 inference(tautology,[status(thm)],[])).
% 218.83/141.38 tff(30382,plain,
% 218.83/141.38 ((~(v112(constB25) <=> (v113(constB25) | v114(constB25)))) | (~v112(constB25))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30381, 30380])).
% 218.83/141.38 tff(30383,plain,
% 218.83/141.38 (~v112(constB25)),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30382, 30111])).
% 218.83/141.38 tff(30384,plain,
% 218.83/141.38 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))))))),
% 218.83/141.38 inference(rewrite,[status(thm)],[])).
% 218.83/141.38 tff(30385,plain,
% 218.83/141.38 ((v115(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 2) | (~v84(constB25, 1))))) <=> (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))),
% 218.83/141.38 inference(rewrite,[status(thm)],[])).
% 218.83/141.38 tff(30386,plain,
% 218.83/141.38 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 2) | (~v84(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))))))),
% 218.83/141.38 inference(monotonicity,[status(thm)],[30385])).
% 218.83/141.38 tff(30387,plain,
% 218.83/141.38 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 2) | (~v84(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))))))),
% 218.83/141.38 inference(transitivity,[status(thm)],[30386, 30384])).
% 218.83/141.38 tff(30388,plain,
% 218.83/141.38 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 2) | (~v84(constB25, 1)))))),
% 218.83/141.38 inference(quant_inst,[status(thm)],[])).
% 218.83/141.38 tff(30389,plain,
% 218.83/141.38 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))),
% 218.83/141.38 inference(modus_ponens,[status(thm)],[30388, 30387])).
% 218.83/141.38 tff(30390,plain,
% 218.83/141.38 (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))))),
% 218.83/141.38 inference(unit_resolution,[status(thm)],[30389, 622])).
% 218.83/141.38 tff(30391,plain,
% 218.83/141.38 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 2) <=> v84(constB24, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 2) <=> v84(constB24, 2)))),
% 218.83/141.38 inference(rewrite,[status(thm)],[])).
% 218.83/141.38 tff(30392,plain,
% 218.83/141.38 (($false | $false | (v84(constB25, 2) <=> v84(constB24, 2))) <=> (v84(constB25, 2) <=> v84(constB24, 2))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30393,plain,
% 218.83/141.39 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB25, 2) <=> v84(constB24, 2))) <=> ($false | $false | (v84(constB25, 2) <=> v84(constB24, 2)))),
% 218.83/141.39 inference(monotonicity,[status(thm)],[534, 533])).
% 218.83/141.39 tff(30394,plain,
% 218.83/141.39 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB25, 2) <=> v84(constB24, 2))) <=> (v84(constB25, 2) <=> v84(constB24, 2))),
% 218.83/141.39 inference(transitivity,[status(thm)],[30393, 30392])).
% 218.83/141.39 tff(30395,plain,
% 218.83/141.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB25, 2) <=> v84(constB24, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 2) <=> v84(constB24, 2)))),
% 218.83/141.39 inference(monotonicity,[status(thm)],[30394])).
% 218.83/141.39 tff(30396,plain,
% 218.83/141.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB25, 2) <=> v84(constB24, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 2) <=> v84(constB24, 2)))),
% 218.83/141.39 inference(transitivity,[status(thm)],[30395, 30391])).
% 218.83/141.39 tff(30397,plain,
% 218.83/141.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB25, 2) <=> v84(constB24, 2)))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30398,plain,
% 218.83/141.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB25, B) <=> v84(constB24, B)))) | (v84(constB25, 2) <=> v84(constB24, 2))),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30397, 30396])).
% 218.83/141.39 tff(30399,plain,
% 218.83/141.39 (v84(constB25, 2) <=> v84(constB24, 2)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30398, 29732])).
% 218.83/141.39 tff(30400,plain,
% 218.83/141.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 2) <=> v84(constB23, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 2) <=> v84(constB23, 2)))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30401,plain,
% 218.83/141.39 (($false | $false | (v84(constB24, 2) <=> v84(constB23, 2))) <=> (v84(constB24, 2) <=> v84(constB23, 2))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30402,plain,
% 218.83/141.39 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB24, 2) <=> v84(constB23, 2))) <=> ($false | $false | (v84(constB24, 2) <=> v84(constB23, 2)))),
% 218.83/141.39 inference(monotonicity,[status(thm)],[534, 533])).
% 218.83/141.39 tff(30403,plain,
% 218.83/141.39 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB24, 2) <=> v84(constB23, 2))) <=> (v84(constB24, 2) <=> v84(constB23, 2))),
% 218.83/141.39 inference(transitivity,[status(thm)],[30402, 30401])).
% 218.83/141.39 tff(30404,plain,
% 218.83/141.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB24, 2) <=> v84(constB23, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 2) <=> v84(constB23, 2)))),
% 218.83/141.39 inference(monotonicity,[status(thm)],[30403])).
% 218.83/141.39 tff(30405,plain,
% 218.83/141.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB24, 2) <=> v84(constB23, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 2) <=> v84(constB23, 2)))),
% 218.83/141.39 inference(transitivity,[status(thm)],[30404, 30400])).
% 218.83/141.39 tff(30406,plain,
% 218.83/141.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB24, 2) <=> v84(constB23, 2)))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30407,plain,
% 218.83/141.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | (v84(constB24, 2) <=> v84(constB23, 2))),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30406, 30405])).
% 218.83/141.39 tff(30408,plain,
% 218.83/141.39 (v84(constB24, 2) <=> v84(constB23, 2)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30407, 30358])).
% 218.83/141.39 tff(30409,plain,
% 218.83/141.39 ((~(v84(constB24, 2) <=> v84(constB23, 2))) | v84(constB24, 2) | (~v84(constB23, 2))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30410,plain,
% 218.83/141.39 ((~(v84(constB24, 2) <=> v84(constB23, 2))) | v84(constB24, 2)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30409, 30320])).
% 218.83/141.39 tff(30411,plain,
% 218.83/141.39 (v84(constB24, 2)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30410, 30408])).
% 218.83/141.39 tff(30412,plain,
% 218.83/141.39 ((~(v84(constB25, 2) <=> v84(constB24, 2))) | v84(constB25, 2) | (~v84(constB24, 2))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30413,plain,
% 218.83/141.39 ((~(v84(constB25, 2) <=> v84(constB24, 2))) | v84(constB25, 2)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30412, 30411])).
% 218.83/141.39 tff(30414,plain,
% 218.83/141.39 (v84(constB25, 2)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30413, 30399])).
% 218.83/141.39 tff(30415,plain,
% 218.83/141.39 ((v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))) | (~v84(constB25, 2))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30416,plain,
% 218.83/141.39 (v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30415, 30414])).
% 218.83/141.39 tff(30417,plain,
% 218.83/141.39 ((~(v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))) | (~v115(constB25)) | (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30418,plain,
% 218.83/141.39 ((~(v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))) | (~v115(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30417, 30416])).
% 218.83/141.39 tff(30419,plain,
% 218.83/141.39 (~v115(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30418, 30390])).
% 218.83/141.39 tff(30420,plain,
% 218.83/141.39 ((~(v112(constB25) | v115(constB25))) | v112(constB25) | v115(constB25)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30421,plain,
% 218.83/141.39 ((~(v112(constB25) | v115(constB25))) | v112(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30420, 30419])).
% 218.83/141.39 tff(30422,plain,
% 218.83/141.39 (~(v112(constB25) | v115(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30421, 30383])).
% 218.83/141.39 tff(30423,plain,
% 218.83/141.39 ((~(v111(constB25) <=> (v112(constB25) | v115(constB25)))) | (~v111(constB25)) | (v112(constB25) | v115(constB25))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30424,plain,
% 218.83/141.39 (~v111(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30423, 30422, 30109])).
% 218.83/141.39 tff(30425,plain,
% 218.83/141.39 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30426,plain,
% 218.83/141.39 ((v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 1)) | (~v84(constB25, 0))))) <=> (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30427,plain,
% 218.83/141.39 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 1)) | (~v84(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))))))),
% 218.83/141.39 inference(monotonicity,[status(thm)],[30426])).
% 218.83/141.39 tff(30428,plain,
% 218.83/141.39 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 1)) | (~v84(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))))))),
% 218.83/141.39 inference(transitivity,[status(thm)],[30427, 30425])).
% 218.83/141.39 tff(30429,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 1)) | (~v84(constB25, 0)))))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30430,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30429, 30428])).
% 218.83/141.39 tff(30431,plain,
% 218.83/141.39 (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30430, 521])).
% 218.83/141.39 tff(30432,plain,
% 218.83/141.39 ((v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))) | (~v84(constB25, 2))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30433,plain,
% 218.83/141.39 (v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30432, 30414])).
% 218.83/141.39 tff(30434,plain,
% 218.83/141.39 ((~(v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))) | (~v116(constB25)) | (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30435,plain,
% 218.83/141.39 ((~(v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))) | (~v116(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30434, 30433])).
% 218.83/141.39 tff(30436,plain,
% 218.83/141.39 (~v116(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30435, 30431])).
% 218.83/141.39 tff(30437,plain,
% 218.83/141.39 ((~(v111(constB25) | v116(constB25))) | v111(constB25) | v116(constB25)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30438,plain,
% 218.83/141.39 ((~(v111(constB25) | v116(constB25))) | v111(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30437, 30436])).
% 218.83/141.39 tff(30439,plain,
% 218.83/141.39 (~(v111(constB25) | v116(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30438, 30424])).
% 218.83/141.39 tff(30440,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB25) <=> (v110(constB25) | v117(constB25)))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30441,plain,
% 218.83/141.39 (v109(constB25) <=> (v110(constB25) | v117(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30440, 456])).
% 218.83/141.39 tff(30442,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB25) <=> (v109(constB25) | v118(constB25)))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30443,plain,
% 218.83/141.39 (v108(constB25) <=> (v109(constB25) | v118(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30442, 428])).
% 218.83/141.39 tff(30444,assumption,(v108(constB25) | v119(constB25)), introduced(assumption)).
% 218.83/141.39 tff(30445,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB25) <=> (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30446,plain,
% 218.83/141.39 (v119(constB25) <=> (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30445, 318])).
% 218.83/141.39 tff(30447,plain,
% 218.83/141.39 ((v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))) | (~v84(constB25, 0))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30448,plain,
% 218.83/141.39 (v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30447, 30373])).
% 218.83/141.39 tff(30449,plain,
% 218.83/141.39 ((~(v119(constB25) <=> (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))))) | (~v119(constB25)) | (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30450,plain,
% 218.83/141.39 ((~(v119(constB25) <=> (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))))) | (~v119(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30449, 30448])).
% 218.83/141.39 tff(30451,plain,
% 218.83/141.39 (~v119(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30450, 30446])).
% 218.83/141.39 tff(30452,plain,
% 218.83/141.39 ((~(v108(constB25) | v119(constB25))) | v108(constB25) | v119(constB25)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30453,plain,
% 218.83/141.39 (v108(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30452, 30451, 30444])).
% 218.83/141.39 tff(30454,plain,
% 218.83/141.39 ((~(v108(constB25) <=> (v109(constB25) | v118(constB25)))) | (~v108(constB25)) | (v109(constB25) | v118(constB25))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30455,plain,
% 218.83/141.39 ((~(v108(constB25) <=> (v109(constB25) | v118(constB25)))) | (v109(constB25) | v118(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30454, 30453])).
% 218.83/141.39 tff(30456,plain,
% 218.83/141.39 (v109(constB25) | v118(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30455, 30443])).
% 218.83/141.39 tff(30457,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30458,plain,
% 218.83/141.39 (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30457, 394])).
% 218.83/141.39 tff(30459,plain,
% 218.83/141.39 (v84(constB24, 1) <=> v84(constB23, 1)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30096, 30358])).
% 218.83/141.39 tff(30460,plain,
% 218.83/141.39 ((~(v84(constB24, 1) <=> v84(constB23, 1))) | v84(constB24, 1)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30098, 30300])).
% 218.83/141.39 tff(30461,plain,
% 218.83/141.39 (v84(constB24, 1)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30460, 30459])).
% 218.83/141.39 tff(30462,plain,
% 218.83/141.39 ((~(v84(constB25, 1) <=> v84(constB24, 1))) | v84(constB25, 1)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30101, 30461])).
% 218.83/141.39 tff(30463,plain,
% 218.83/141.39 (v84(constB25, 1)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30462, 29741])).
% 218.83/141.39 tff(30464,plain,
% 218.83/141.39 ((v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))) | (~v84(constB25, 1))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30465,plain,
% 218.83/141.39 (v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30464, 30463])).
% 218.83/141.39 tff(30466,plain,
% 218.83/141.39 ((~(v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))) | (~v118(constB25)) | (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30467,plain,
% 218.83/141.39 ((~(v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))) | (~v118(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30466, 30465])).
% 218.83/141.39 tff(30468,plain,
% 218.83/141.39 (~v118(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30467, 30458])).
% 218.83/141.39 tff(30469,plain,
% 218.83/141.39 ((~(v109(constB25) | v118(constB25))) | v109(constB25) | v118(constB25)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30470,plain,
% 218.83/141.39 ((~(v109(constB25) | v118(constB25))) | v109(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30469, 30468])).
% 218.83/141.39 tff(30471,plain,
% 218.83/141.39 (v109(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30470, 30456])).
% 218.83/141.39 tff(30472,plain,
% 218.83/141.39 ((~(v109(constB25) <=> (v110(constB25) | v117(constB25)))) | (~v109(constB25)) | (v110(constB25) | v117(constB25))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30473,plain,
% 218.83/141.39 (v110(constB25) | v117(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30472, 30471, 30441])).
% 218.83/141.39 tff(30474,plain,
% 218.83/141.39 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30475,plain,
% 218.83/141.39 ((v117(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | (~v84(constB25, 2))))) <=> (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30476,plain,
% 218.83/141.39 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | (~v84(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))))))),
% 218.83/141.39 inference(monotonicity,[status(thm)],[30475])).
% 218.83/141.39 tff(30477,plain,
% 218.83/141.39 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | (~v84(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))))))),
% 218.83/141.39 inference(transitivity,[status(thm)],[30476, 30474])).
% 218.83/141.39 tff(30478,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | (~v84(constB25, 2)))))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30479,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30478, 30477])).
% 218.83/141.39 tff(30480,plain,
% 218.83/141.39 (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30479, 656])).
% 218.83/141.39 tff(30481,plain,
% 218.83/141.39 ((v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))) | (~v84(constB25, 1))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30482,plain,
% 218.83/141.39 (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30481, 30463])).
% 218.83/141.39 tff(30483,plain,
% 218.83/141.39 ((~(v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))) | (~v117(constB25)) | (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30484,plain,
% 218.83/141.39 ((~(v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))) | (~v117(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30483, 30482])).
% 218.83/141.39 tff(30485,plain,
% 218.83/141.39 (~v117(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30484, 30480])).
% 218.83/141.39 tff(30486,plain,
% 218.83/141.39 ((~(v110(constB25) | v117(constB25))) | v110(constB25) | v117(constB25)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30487,plain,
% 218.83/141.39 ((~(v110(constB25) | v117(constB25))) | v110(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30486, 30485])).
% 218.83/141.39 tff(30488,plain,
% 218.83/141.39 (v110(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30487, 30473])).
% 218.83/141.39 tff(30489,plain,
% 218.83/141.39 ((~(v110(constB25) <=> (v111(constB25) | v116(constB25)))) | (~v110(constB25)) | (v111(constB25) | v116(constB25))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30490,plain,
% 218.83/141.39 ($false),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30489, 30488, 30439, 30107])).
% 218.83/141.39 tff(30491,plain,((v108(constB18) | v119(constB18)) | (~(v108(constB25) | v119(constB25))) | (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.83/141.39 tff(30492,plain,
% 218.83/141.39 (~(v108(constB25) | v119(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30491, 30105, 29698])).
% 218.83/141.39 tff(30493,assumption,(~(v107(constB25) <=> (v108(constB25) | v119(constB25)))), introduced(assumption)).
% 218.83/141.39 tff(30494,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB25) <=> (v108(constB25) | v119(constB25)))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30495,plain,
% 218.83/141.39 ($false),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30494, 187, 30493])).
% 218.83/141.39 tff(30496,plain,(v107(constB25) <=> (v108(constB25) | v119(constB25))), inference(lemma,lemma(discharge,[]))).
% 218.83/141.39 tff(30497,plain,
% 218.83/141.39 ((~(v107(constB25) <=> (v108(constB25) | v119(constB25)))) | (~v107(constB25)) | (v108(constB25) | v119(constB25))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30498,plain,
% 218.83/141.39 ((~v107(constB25)) | (v108(constB25) | v119(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30497, 30496])).
% 218.83/141.39 tff(30499,plain,
% 218.83/141.39 (~v107(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30498, 30492])).
% 218.83/141.39 tff(30500,plain,
% 218.83/141.39 (((~v107(constB25)) | (~v120(constB25))) | v107(constB25)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30501,plain,
% 218.83/141.39 ((~v107(constB25)) | (~v120(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30500, 30499])).
% 218.83/141.39 tff(30502,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB25) <=> (~((~v107(constB25)) | (~v120(constB25)))))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30503,plain,
% 218.83/141.39 (v106(constB25) <=> (~((~v107(constB25)) | (~v120(constB25))))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30502, 132])).
% 218.83/141.39 tff(30504,plain,
% 218.83/141.39 ((~(v106(constB25) <=> (~((~v107(constB25)) | (~v120(constB25)))))) | (~v106(constB25)) | (~((~v107(constB25)) | (~v120(constB25))))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30505,plain,
% 218.83/141.39 ((~v106(constB25)) | (~((~v107(constB25)) | (~v120(constB25))))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30504, 30503])).
% 218.83/141.39 tff(30506,plain,
% 218.83/141.39 (~v106(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30505, 30501])).
% 218.83/141.39 tff(30507,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB25) <=> v26(constB25))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30508,plain,
% 218.83/141.39 (v105(constB25) <=> v26(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30507, 156])).
% 218.83/141.39 tff(30509,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30510,plain,
% 218.83/141.39 (~v26(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30509, 168])).
% 218.83/141.39 tff(30511,plain,
% 218.83/141.39 ((~(v105(constB25) <=> v26(constB25))) | (~v105(constB25)) | v26(constB25)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30512,plain,
% 218.83/141.39 ((~(v105(constB25) <=> v26(constB25))) | (~v105(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30511, 30510])).
% 218.83/141.39 tff(30513,plain,
% 218.83/141.39 (~v105(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30512, 30508])).
% 218.83/141.39 tff(30514,plain,
% 218.83/141.39 ((~(v105(constB25) | v106(constB25))) | v105(constB25) | v106(constB25)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30515,plain,
% 218.83/141.39 ((~(v105(constB25) | v106(constB25))) | v106(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30514, 30513])).
% 218.83/141.39 tff(30516,plain,
% 218.83/141.39 (~(v105(constB25) | v106(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30515, 30506])).
% 218.83/141.39 tff(30517,plain,
% 218.83/141.39 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB25) <=> (v105(constB25) | v106(constB25)))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30518,plain,
% 218.83/141.39 (v102(constB25) <=> (v105(constB25) | v106(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30517, 115])).
% 218.83/141.39 tff(30519,plain,
% 218.83/141.39 ((~(v102(constB25) <=> (v105(constB25) | v106(constB25)))) | (~v102(constB25)) | (v105(constB25) | v106(constB25))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30520,plain,
% 218.83/141.39 ((~v102(constB25)) | (v105(constB25) | v106(constB25))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30519, 30518])).
% 218.83/141.39 tff(30521,plain,
% 218.83/141.39 (~v102(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30520, 30516])).
% 218.83/141.39 tff(30522,plain,
% 218.83/141.39 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30523,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25')).
% 218.83/141.39 tff(30524,plain,
% 218.83/141.39 (nextState(constB25, constB26)),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30523, 30522])).
% 218.83/141.39 tff(30525,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25)))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30526,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25)))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30527,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25))),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30526, 30525])).
% 218.83/141.39 tff(30528,plain,
% 218.83/141.39 (v104(constB26) <=> v102(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30527, 30524, 101])).
% 218.83/141.39 tff(30529,plain,
% 218.83/141.39 ((~(v104(constB26) <=> v102(constB25))) | (~v104(constB26)) | v102(constB25)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30530,plain,
% 218.83/141.39 ((~v104(constB26)) | v102(constB25)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30529, 30528])).
% 218.83/141.39 tff(30531,plain,
% 218.83/141.39 (~v104(constB26)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30530, 30521])).
% 218.83/141.39 tff(30532,plain,
% 218.83/141.39 (((~v95(constB26)) | (~v104(constB26))) | v104(constB26)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30533,plain,
% 218.83/141.39 ((~v95(constB26)) | (~v104(constB26))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30532, 30531])).
% 218.83/141.39 tff(30534,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26))))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30535,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26))))))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30536,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26)))))),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30535, 30534])).
% 218.83/141.39 tff(30537,plain,
% 218.83/141.39 (v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26))))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30536, 30524, 14])).
% 218.83/141.39 tff(30538,plain,
% 218.83/141.39 ((~(v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26)))))) | (~v94(constB26)) | (~((~v95(constB26)) | (~v104(constB26))))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30539,plain,
% 218.83/141.39 ((~v94(constB26)) | (~((~v95(constB26)) | (~v104(constB26))))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30538, 30537])).
% 218.83/141.39 tff(30540,plain,
% 218.83/141.39 (~v94(constB26)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30539, 30533])).
% 218.83/141.39 tff(30541,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB26) | (~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB26) | (~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30542,plain,
% 218.83/141.39 ((v94(constB26) | (~nextState(constB25, constB26)) | ![B: $int] : ((v84(constB26, B) <=> v84(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB26) | (~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30543,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB26) | (~nextState(constB25, constB26)) | ![B: $int] : ((v84(constB26, B) <=> v84(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB26) | (~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))))),
% 218.83/141.39 inference(monotonicity,[status(thm)],[30542])).
% 218.83/141.39 tff(30544,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB26) | (~nextState(constB25, constB26)) | ![B: $int] : ((v84(constB26, B) <=> v84(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB26) | (~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B))))),
% 218.83/141.39 inference(transitivity,[status(thm)],[30543, 30541])).
% 218.83/141.39 tff(30545,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB26) | (~nextState(constB25, constB26)) | ![B: $int] : ((v84(constB26, B) <=> v84(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30546,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB26) | (~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30545, 30544])).
% 218.83/141.39 tff(30547,plain,
% 218.83/141.39 (v94(constB26) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30546, 30524, 235])).
% 218.83/141.39 tff(30548,plain,
% 218.83/141.39 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30547, 30540])).
% 218.83/141.39 tff(30549,plain,
% 218.83/141.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 1) <=> v84(constB25, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 1) <=> v84(constB25, 1)))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30550,plain,
% 218.83/141.39 (($false | $false | (v84(constB26, 1) <=> v84(constB25, 1))) <=> (v84(constB26, 1) <=> v84(constB25, 1))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30551,plain,
% 218.83/141.39 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB26, 1) <=> v84(constB25, 1))) <=> ($false | $false | (v84(constB26, 1) <=> v84(constB25, 1)))),
% 218.83/141.39 inference(monotonicity,[status(thm)],[402, 401])).
% 218.83/141.39 tff(30552,plain,
% 218.83/141.39 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB26, 1) <=> v84(constB25, 1))) <=> (v84(constB26, 1) <=> v84(constB25, 1))),
% 218.83/141.39 inference(transitivity,[status(thm)],[30551, 30550])).
% 218.83/141.39 tff(30553,plain,
% 218.83/141.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB26, 1) <=> v84(constB25, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 1) <=> v84(constB25, 1)))),
% 218.83/141.39 inference(monotonicity,[status(thm)],[30552])).
% 218.83/141.39 tff(30554,plain,
% 218.83/141.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB26, 1) <=> v84(constB25, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 1) <=> v84(constB25, 1)))),
% 218.83/141.39 inference(transitivity,[status(thm)],[30553, 30549])).
% 218.83/141.39 tff(30555,plain,
% 218.83/141.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB26, 1) <=> v84(constB25, 1)))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30556,plain,
% 218.83/141.39 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 1) <=> v84(constB25, 1))),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30555, 30554])).
% 218.83/141.39 tff(30557,plain,
% 218.83/141.39 (v84(constB26, 1) <=> v84(constB25, 1)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30556, 30548])).
% 218.83/141.39 tff(30558,plain,
% 218.83/141.39 ((~(v84(constB26, 1) <=> v84(constB25, 1))) | v84(constB26, 1) | (~v84(constB25, 1))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30559,plain,
% 218.83/141.39 ((~(v84(constB26, 1) <=> v84(constB25, 1))) | v84(constB26, 1)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30558, 30103])).
% 218.83/141.39 tff(30560,plain,
% 218.83/141.39 (v84(constB26, 1)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30559, 30557])).
% 218.83/141.39 tff(30561,assumption,(~(v84(constB27, 1) <=> v84(constB26, 1))), introduced(assumption)).
% 218.83/141.39 tff(30562,plain,
% 218.83/141.39 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30563,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26')).
% 218.83/141.39 tff(30564,plain,
% 218.83/141.39 (nextState(constB26, constB27)),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30563, 30562])).
% 218.83/141.39 tff(30565,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27))))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30566,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27))))))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30567,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27)))))),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30566, 30565])).
% 218.83/141.39 tff(30568,plain,
% 218.83/141.39 (v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27))))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30567, 30564, 14])).
% 218.83/141.39 tff(30569,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30570,plain,
% 218.83/141.39 (((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27)))))) <=> ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30571,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))))),
% 218.83/141.39 inference(monotonicity,[status(thm)],[30570])).
% 218.83/141.39 tff(30572,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))),
% 218.83/141.39 inference(transitivity,[status(thm)],[30571, 30569])).
% 218.83/141.39 tff(30573,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27))))))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30574,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30573, 30572])).
% 218.83/141.39 tff(30575,plain,
% 218.83/141.39 (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30574, 30564, 37])).
% 218.83/141.39 tff(30576,plain,
% 218.83/141.39 ((~v1(constB27)) <=> (~v1(constB27))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30577,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27')).
% 218.83/141.39 tff(30578,plain,
% 218.83/141.39 (~v1(constB27)),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30577, 30576])).
% 218.83/141.39 tff(30579,plain,
% 218.83/141.39 (((~v1(constB27)) | (~v96(constB27))) | v1(constB27)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30580,plain,
% 218.83/141.39 ((~v1(constB27)) | (~v96(constB27))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30579, 30578])).
% 218.83/141.39 tff(30581,plain,
% 218.83/141.39 ((~(v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))) | (~v95(constB27)) | (~((~v1(constB27)) | (~v96(constB27))))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30582,plain,
% 218.83/141.39 ((~(v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))) | (~v95(constB27))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30581, 30580])).
% 218.83/141.39 tff(30583,plain,
% 218.83/141.39 (~v95(constB27)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30582, 30575])).
% 218.83/141.39 tff(30584,plain,
% 218.83/141.39 (((~v95(constB27)) | (~v104(constB27))) | v95(constB27)),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30585,plain,
% 218.83/141.39 ((~v95(constB27)) | (~v104(constB27))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30584, 30583])).
% 218.83/141.39 tff(30586,plain,
% 218.83/141.39 ((~(v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27)))))) | (~v94(constB27)) | (~((~v95(constB27)) | (~v104(constB27))))),
% 218.83/141.39 inference(tautology,[status(thm)],[])).
% 218.83/141.39 tff(30587,plain,
% 218.83/141.39 (~v94(constB27)),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30586, 30585, 30568])).
% 218.83/141.39 tff(30588,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB27) | (~nextState(constB26, constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB27) | (~nextState(constB26, constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30589,plain,
% 218.83/141.39 ((v94(constB27) | (~nextState(constB26, constB27)) | ![B: $int] : ((v84(constB27, B) <=> v84(constB26, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB27) | (~nextState(constB26, constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B))))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30590,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB27) | (~nextState(constB26, constB27)) | ![B: $int] : ((v84(constB27, B) <=> v84(constB26, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB27) | (~nextState(constB26, constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))))),
% 218.83/141.39 inference(monotonicity,[status(thm)],[30589])).
% 218.83/141.39 tff(30591,plain,
% 218.83/141.39 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB27) | (~nextState(constB26, constB27)) | ![B: $int] : ((v84(constB27, B) <=> v84(constB26, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB27) | (~nextState(constB26, constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B))))),
% 218.83/141.39 inference(transitivity,[status(thm)],[30590, 30588])).
% 218.83/141.39 tff(30592,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB27) | (~nextState(constB26, constB27)) | ![B: $int] : ((v84(constB27, B) <=> v84(constB26, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.83/141.39 inference(quant_inst,[status(thm)],[])).
% 218.83/141.39 tff(30593,plain,
% 218.83/141.39 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB27) | (~nextState(constB26, constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))),
% 218.83/141.39 inference(modus_ponens,[status(thm)],[30592, 30591])).
% 218.83/141.39 tff(30594,plain,
% 218.83/141.39 (v94(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30593, 30564, 235])).
% 218.83/141.39 tff(30595,plain,
% 218.83/141.39 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))),
% 218.83/141.39 inference(unit_resolution,[status(thm)],[30594, 30587])).
% 218.83/141.39 tff(30596,plain,
% 218.83/141.39 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 1) <=> v84(constB26, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 1) <=> v84(constB26, 1)))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.39 tff(30597,plain,
% 218.83/141.39 (($false | $false | (v84(constB27, 1) <=> v84(constB26, 1))) <=> (v84(constB27, 1) <=> v84(constB26, 1))),
% 218.83/141.39 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30598,plain,
% 218.83/141.40 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB27, 1) <=> v84(constB26, 1))) <=> ($false | $false | (v84(constB27, 1) <=> v84(constB26, 1)))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[402, 401])).
% 218.83/141.40 tff(30599,plain,
% 218.83/141.40 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB27, 1) <=> v84(constB26, 1))) <=> (v84(constB27, 1) <=> v84(constB26, 1))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30598, 30597])).
% 218.83/141.40 tff(30600,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB27, 1) <=> v84(constB26, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 1) <=> v84(constB26, 1)))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[30599])).
% 218.83/141.40 tff(30601,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB27, 1) <=> v84(constB26, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 1) <=> v84(constB26, 1)))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30600, 30596])).
% 218.83/141.40 tff(30602,plain,
% 218.83/141.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB27, 1) <=> v84(constB26, 1)))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30603,plain,
% 218.83/141.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 1) <=> v84(constB26, 1))),
% 218.83/141.40 inference(modus_ponens,[status(thm)],[30602, 30601])).
% 218.83/141.40 tff(30604,plain,
% 218.83/141.40 ($false),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30603, 30595, 30561])).
% 218.83/141.40 tff(30605,plain,(v84(constB27, 1) <=> v84(constB26, 1)), inference(lemma,lemma(discharge,[]))).
% 218.83/141.40 tff(30606,plain,
% 218.83/141.40 ((~(v84(constB27, 1) <=> v84(constB26, 1))) | v84(constB27, 1) | (~v84(constB26, 1))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30607,plain,
% 218.83/141.40 (v84(constB27, 1) | (~v84(constB26, 1))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30606, 30605])).
% 218.83/141.40 tff(30608,plain,
% 218.83/141.40 (v84(constB27, 1)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30607, 30560])).
% 218.83/141.40 tff(30609,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB27) <=> (v108(constB27) | v119(constB27)))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30610,plain,
% 218.83/141.40 (v107(constB27) <=> (v108(constB27) | v119(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30609, 187])).
% 218.83/141.40 tff(30611,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 0) <=> v84(constB25, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 0) <=> v84(constB25, 0)))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30612,plain,
% 218.83/141.40 (($false | $false | (v84(constB26, 0) <=> v84(constB25, 0))) <=> (v84(constB26, 0) <=> v84(constB25, 0))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30613,plain,
% 218.83/141.40 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB26, 0) <=> v84(constB25, 0))) <=> ($false | $false | (v84(constB26, 0) <=> v84(constB25, 0)))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[250, 249])).
% 218.83/141.40 tff(30614,plain,
% 218.83/141.40 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB26, 0) <=> v84(constB25, 0))) <=> (v84(constB26, 0) <=> v84(constB25, 0))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30613, 30612])).
% 218.83/141.40 tff(30615,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB26, 0) <=> v84(constB25, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 0) <=> v84(constB25, 0)))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[30614])).
% 218.83/141.40 tff(30616,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB26, 0) <=> v84(constB25, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 0) <=> v84(constB25, 0)))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30615, 30611])).
% 218.83/141.40 tff(30617,plain,
% 218.83/141.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB26, 0) <=> v84(constB25, 0)))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30618,plain,
% 218.83/141.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 0) <=> v84(constB25, 0))),
% 218.83/141.40 inference(modus_ponens,[status(thm)],[30617, 30616])).
% 218.83/141.40 tff(30619,plain,
% 218.83/141.40 (v84(constB26, 0) <=> v84(constB25, 0)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30618, 30548])).
% 218.83/141.40 tff(30620,plain,
% 218.83/141.40 (v84(constB24, 0) <=> v84(constB23, 0)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30366, 30088])).
% 218.83/141.40 tff(30621,plain,
% 218.83/141.40 ((~(v84(constB24, 0) <=> v84(constB23, 0))) | v84(constB24, 0)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30368, 30029])).
% 218.83/141.40 tff(30622,plain,
% 218.83/141.40 (v84(constB24, 0)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30621, 30620])).
% 218.83/141.40 tff(30623,assumption,(~(v84(constB25, 0) <=> v84(constB24, 0))), introduced(assumption)).
% 218.83/141.40 tff(30624,plain,
% 218.83/141.40 ($false),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30127, 29732, 30623])).
% 218.83/141.40 tff(30625,plain,(v84(constB25, 0) <=> v84(constB24, 0)), inference(lemma,lemma(discharge,[]))).
% 218.83/141.40 tff(30626,plain,
% 218.83/141.40 (v84(constB25, 0) | (~v84(constB24, 0))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30371, 30625])).
% 218.83/141.40 tff(30627,plain,
% 218.83/141.40 (v84(constB25, 0)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30626, 30622])).
% 218.83/141.40 tff(30628,plain,
% 218.83/141.40 ((~(v84(constB26, 0) <=> v84(constB25, 0))) | v84(constB26, 0) | (~v84(constB25, 0))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30629,plain,
% 218.83/141.40 ((~(v84(constB26, 0) <=> v84(constB25, 0))) | v84(constB26, 0)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30628, 30627])).
% 218.83/141.40 tff(30630,plain,
% 218.83/141.40 (v84(constB26, 0)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30629, 30619])).
% 218.83/141.40 tff(30631,assumption,(~(v84(constB27, 0) <=> v84(constB26, 0))), introduced(assumption)).
% 218.83/141.40 tff(30632,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 0) <=> v84(constB26, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 0) <=> v84(constB26, 0)))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30633,plain,
% 218.83/141.40 (($false | $false | (v84(constB27, 0) <=> v84(constB26, 0))) <=> (v84(constB27, 0) <=> v84(constB26, 0))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30634,plain,
% 218.83/141.40 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB27, 0) <=> v84(constB26, 0))) <=> ($false | $false | (v84(constB27, 0) <=> v84(constB26, 0)))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[250, 249])).
% 218.83/141.40 tff(30635,plain,
% 218.83/141.40 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB27, 0) <=> v84(constB26, 0))) <=> (v84(constB27, 0) <=> v84(constB26, 0))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30634, 30633])).
% 218.83/141.40 tff(30636,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB27, 0) <=> v84(constB26, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 0) <=> v84(constB26, 0)))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[30635])).
% 218.83/141.40 tff(30637,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB27, 0) <=> v84(constB26, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 0) <=> v84(constB26, 0)))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30636, 30632])).
% 218.83/141.40 tff(30638,plain,
% 218.83/141.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB27, 0) <=> v84(constB26, 0)))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30639,plain,
% 218.83/141.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 0) <=> v84(constB26, 0))),
% 218.83/141.40 inference(modus_ponens,[status(thm)],[30638, 30637])).
% 218.83/141.40 tff(30640,plain,
% 218.83/141.40 ($false),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30639, 30595, 30631])).
% 218.83/141.40 tff(30641,plain,(v84(constB27, 0) <=> v84(constB26, 0)), inference(lemma,lemma(discharge,[]))).
% 218.83/141.40 tff(30642,plain,
% 218.83/141.40 ((~(v84(constB27, 0) <=> v84(constB26, 0))) | v84(constB27, 0) | (~v84(constB26, 0))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30643,plain,
% 218.83/141.40 (v84(constB27, 0) | (~v84(constB26, 0))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30642, 30641])).
% 218.83/141.40 tff(30644,plain,
% 218.83/141.40 (v84(constB27, 0)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30643, 30630])).
% 218.83/141.40 tff(30645,plain,
% 218.83/141.40 (((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))) | (~v84(constB27, 0))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30646,plain,
% 218.83/141.40 ((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30645, 30644])).
% 218.83/141.40 tff(30647,assumption,(~(v119(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2)))))), introduced(assumption)).
% 218.83/141.40 tff(30648,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))))))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30649,plain,
% 218.83/141.40 ((v119(constB27) <=> (~(v84(constB27, 0) | (~v84(constB27, 1)) | (~v84(constB27, 2))))) <=> (v119(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2)))))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30650,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB27) <=> (~(v84(constB27, 0) | (~v84(constB27, 1)) | (~v84(constB27, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))))))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[30649])).
% 218.83/141.40 tff(30651,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB27) <=> (~(v84(constB27, 0) | (~v84(constB27, 1)) | (~v84(constB27, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))))))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30650, 30648])).
% 218.83/141.40 tff(30652,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB27) <=> (~(v84(constB27, 0) | (~v84(constB27, 1)) | (~v84(constB27, 2)))))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30653,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2)))))),
% 218.83/141.40 inference(modus_ponens,[status(thm)],[30652, 30651])).
% 218.83/141.40 tff(30654,plain,
% 218.83/141.40 ($false),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30653, 318, 30647])).
% 218.83/141.40 tff(30655,plain,(v119(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.83/141.40 tff(30656,plain,
% 218.83/141.40 ((~(v119(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2)))))) | (~v119(constB27)) | (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30657,plain,
% 218.83/141.40 ((~v119(constB27)) | (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30656, 30655])).
% 218.83/141.40 tff(30658,plain,
% 218.83/141.40 (~v119(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30657, 30646])).
% 218.83/141.40 tff(30659,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30660,plain,
% 218.83/141.40 (v118(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30659, 394])).
% 218.83/141.40 tff(30661,plain,
% 218.83/141.40 ((v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))) | (~v84(constB27, 1))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30662,plain,
% 218.83/141.40 (v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30661, 30608])).
% 218.83/141.40 tff(30663,plain,
% 218.83/141.40 ((~(v118(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))))) | (~v118(constB27)) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30664,plain,
% 218.83/141.40 ((~(v118(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))))) | (~v118(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30663, 30662])).
% 218.83/141.40 tff(30665,plain,
% 218.83/141.40 (~v118(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30664, 30660])).
% 218.83/141.40 tff(30666,plain,
% 218.83/141.40 ((v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))) | (~v84(constB27, 0))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30667,plain,
% 218.83/141.40 (v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30666, 30644])).
% 218.83/141.40 tff(30668,assumption,(~(v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))))), introduced(assumption)).
% 218.83/141.40 tff(30669,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))))))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30670,plain,
% 218.83/141.40 ((v117(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 1) | (~v84(constB27, 2))))) <=> (v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30671,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 1) | (~v84(constB27, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))))))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[30670])).
% 218.83/141.40 tff(30672,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 1) | (~v84(constB27, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))))))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30671, 30669])).
% 218.83/141.40 tff(30673,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 1) | (~v84(constB27, 2)))))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30674,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))))),
% 218.83/141.40 inference(modus_ponens,[status(thm)],[30673, 30672])).
% 218.83/141.40 tff(30675,plain,
% 218.83/141.40 ($false),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30674, 656, 30668])).
% 218.83/141.40 tff(30676,plain,(v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.83/141.40 tff(30677,plain,
% 218.83/141.40 ((~(v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))))) | (~v117(constB27)) | (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30678,plain,
% 218.83/141.40 ((~v117(constB27)) | (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30677, 30676])).
% 218.83/141.40 tff(30679,plain,
% 218.83/141.40 (~v117(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30678, 30667])).
% 218.83/141.40 tff(30680,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB27) <=> (v111(constB27) | v116(constB27)))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30681,plain,
% 218.83/141.40 (v110(constB27) <=> (v111(constB27) | v116(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30680, 265])).
% 218.83/141.40 tff(30682,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB27) <=> (v112(constB27) | v115(constB27)))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30683,plain,
% 218.83/141.40 (v111(constB27) <=> (v112(constB27) | v115(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30682, 274])).
% 218.83/141.40 tff(30684,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB27) <=> (v113(constB27) | v114(constB27)))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30685,plain,
% 218.83/141.40 (v112(constB27) <=> (v113(constB27) | v114(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30684, 283])).
% 218.83/141.40 tff(30686,plain,
% 218.83/141.40 ((v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)) | (~v84(constB27, 0))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30687,plain,
% 218.83/141.40 (v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30686, 30644])).
% 218.83/141.40 tff(30688,assumption,(~(v113(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))))), introduced(assumption)).
% 218.83/141.40 tff(30689,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30690,plain,
% 218.83/141.40 ($false),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30689, 597, 30688])).
% 218.83/141.40 tff(30691,plain,(v113(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.83/141.40 tff(30692,plain,
% 218.83/141.40 ((~(v113(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))))) | (~v113(constB27)) | (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30693,plain,
% 218.83/141.40 ((~v113(constB27)) | (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30692, 30691])).
% 218.83/141.40 tff(30694,plain,
% 218.83/141.40 (~v113(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30693, 30687])).
% 218.83/141.40 tff(30695,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)))))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30696,plain,
% 218.83/141.40 ((v114(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 2) | (~v84(constB27, 0))))) <=> (v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30697,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 2) | (~v84(constB27, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)))))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[30696])).
% 218.83/141.40 tff(30698,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 2) | (~v84(constB27, 0)))))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)))))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30697, 30695])).
% 218.83/141.40 tff(30699,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 2) | (~v84(constB27, 0)))))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30700,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))))),
% 218.83/141.40 inference(modus_ponens,[status(thm)],[30699, 30698])).
% 218.83/141.40 tff(30701,plain,
% 218.83/141.40 (v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30700, 298])).
% 218.83/141.40 tff(30702,plain,
% 218.83/141.40 ((v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)) | (~v84(constB27, 1))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30703,plain,
% 218.83/141.40 (v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30702, 30608])).
% 218.83/141.40 tff(30704,plain,
% 218.83/141.40 ((~(v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))))) | (~v114(constB27)) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30705,plain,
% 218.83/141.40 ((~(v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))))) | (~v114(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30704, 30703])).
% 218.83/141.40 tff(30706,plain,
% 218.83/141.40 (~v114(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30705, 30701])).
% 218.83/141.40 tff(30707,plain,
% 218.83/141.40 ((~(v113(constB27) | v114(constB27))) | v113(constB27) | v114(constB27)),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30708,plain,
% 218.83/141.40 (~(v113(constB27) | v114(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30707, 30706, 30694])).
% 218.83/141.40 tff(30709,plain,
% 218.83/141.40 ((~(v112(constB27) <=> (v113(constB27) | v114(constB27)))) | (~v112(constB27)) | (v113(constB27) | v114(constB27))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30710,plain,
% 218.83/141.40 ((~(v112(constB27) <=> (v113(constB27) | v114(constB27)))) | (~v112(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30709, 30708])).
% 218.83/141.40 tff(30711,plain,
% 218.83/141.40 (~v112(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30710, 30685])).
% 218.83/141.40 tff(30712,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)))))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30713,plain,
% 218.83/141.40 ((v115(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 2) | (~v84(constB27, 1))))) <=> (v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30714,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 2) | (~v84(constB27, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)))))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[30713])).
% 218.83/141.40 tff(30715,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 2) | (~v84(constB27, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)))))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30714, 30712])).
% 218.83/141.40 tff(30716,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 2) | (~v84(constB27, 1)))))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30717,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))))),
% 218.83/141.40 inference(modus_ponens,[status(thm)],[30716, 30715])).
% 218.83/141.40 tff(30718,plain,
% 218.83/141.40 (v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30717, 622])).
% 218.83/141.40 tff(30719,plain,
% 218.83/141.40 (((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)) | (~v84(constB27, 0))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30720,plain,
% 218.83/141.40 ((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30719, 30644])).
% 218.83/141.40 tff(30721,plain,
% 218.83/141.40 ((~(v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))))) | (~v115(constB27)) | (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30722,plain,
% 218.83/141.40 ((~(v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))))) | (~v115(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30721, 30720])).
% 218.83/141.40 tff(30723,plain,
% 218.83/141.40 (~v115(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30722, 30718])).
% 218.83/141.40 tff(30724,plain,
% 218.83/141.40 ((~(v112(constB27) | v115(constB27))) | v112(constB27) | v115(constB27)),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30725,plain,
% 218.83/141.40 ((~(v112(constB27) | v115(constB27))) | v112(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30724, 30723])).
% 218.83/141.40 tff(30726,plain,
% 218.83/141.40 (~(v112(constB27) | v115(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30725, 30711])).
% 218.83/141.40 tff(30727,plain,
% 218.83/141.40 ((~(v111(constB27) <=> (v112(constB27) | v115(constB27)))) | (~v111(constB27)) | (v112(constB27) | v115(constB27))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30728,plain,
% 218.83/141.40 (~v111(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30727, 30726, 30683])).
% 218.83/141.40 tff(30729,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)))))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30730,plain,
% 218.83/141.40 ((v116(constB27) <=> (~(v84(constB27, 2) | (~v84(constB27, 1)) | (~v84(constB27, 0))))) <=> (v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30731,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB27) <=> (~(v84(constB27, 2) | (~v84(constB27, 1)) | (~v84(constB27, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)))))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[30730])).
% 218.83/141.40 tff(30732,plain,
% 218.83/141.40 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB27) <=> (~(v84(constB27, 2) | (~v84(constB27, 1)) | (~v84(constB27, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)))))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30731, 30729])).
% 218.83/141.40 tff(30733,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB27) <=> (~(v84(constB27, 2) | (~v84(constB27, 1)) | (~v84(constB27, 0)))))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30734,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))))),
% 218.83/141.40 inference(modus_ponens,[status(thm)],[30733, 30732])).
% 218.83/141.40 tff(30735,plain,
% 218.83/141.40 (v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30734, 521])).
% 218.83/141.40 tff(30736,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 2) <=> v84(constB26, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 2) <=> v84(constB26, 2)))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30737,plain,
% 218.83/141.40 (($false | $false | (v84(constB27, 2) <=> v84(constB26, 2))) <=> (v84(constB27, 2) <=> v84(constB26, 2))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30738,plain,
% 218.83/141.40 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB27, 2) <=> v84(constB26, 2))) <=> ($false | $false | (v84(constB27, 2) <=> v84(constB26, 2)))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[534, 533])).
% 218.83/141.40 tff(30739,plain,
% 218.83/141.40 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB27, 2) <=> v84(constB26, 2))) <=> (v84(constB27, 2) <=> v84(constB26, 2))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30738, 30737])).
% 218.83/141.40 tff(30740,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB27, 2) <=> v84(constB26, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 2) <=> v84(constB26, 2)))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[30739])).
% 218.83/141.40 tff(30741,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB27, 2) <=> v84(constB26, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 2) <=> v84(constB26, 2)))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30740, 30736])).
% 218.83/141.40 tff(30742,plain,
% 218.83/141.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB27, 2) <=> v84(constB26, 2)))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30743,plain,
% 218.83/141.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB27, B) <=> v84(constB26, B)))) | (v84(constB27, 2) <=> v84(constB26, 2))),
% 218.83/141.40 inference(modus_ponens,[status(thm)],[30742, 30741])).
% 218.83/141.40 tff(30744,plain,
% 218.83/141.40 (v84(constB27, 2) <=> v84(constB26, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30743, 30595])).
% 218.83/141.40 tff(30745,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 2) <=> v84(constB25, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 2) <=> v84(constB25, 2)))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30746,plain,
% 218.83/141.40 (($false | $false | (v84(constB26, 2) <=> v84(constB25, 2))) <=> (v84(constB26, 2) <=> v84(constB25, 2))),
% 218.83/141.40 inference(rewrite,[status(thm)],[])).
% 218.83/141.40 tff(30747,plain,
% 218.83/141.40 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB26, 2) <=> v84(constB25, 2))) <=> ($false | $false | (v84(constB26, 2) <=> v84(constB25, 2)))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[534, 533])).
% 218.83/141.40 tff(30748,plain,
% 218.83/141.40 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB26, 2) <=> v84(constB25, 2))) <=> (v84(constB26, 2) <=> v84(constB25, 2))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30747, 30746])).
% 218.83/141.40 tff(30749,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB26, 2) <=> v84(constB25, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 2) <=> v84(constB25, 2)))),
% 218.83/141.40 inference(monotonicity,[status(thm)],[30748])).
% 218.83/141.40 tff(30750,plain,
% 218.83/141.40 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB26, 2) <=> v84(constB25, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 2) <=> v84(constB25, 2)))),
% 218.83/141.40 inference(transitivity,[status(thm)],[30749, 30745])).
% 218.83/141.40 tff(30751,plain,
% 218.83/141.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB26, 2) <=> v84(constB25, 2)))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30752,plain,
% 218.83/141.40 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))) | (v84(constB26, 2) <=> v84(constB25, 2))),
% 218.83/141.40 inference(modus_ponens,[status(thm)],[30751, 30750])).
% 218.83/141.40 tff(30753,plain,
% 218.83/141.40 (v84(constB26, 2) <=> v84(constB25, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30752, 30548])).
% 218.83/141.40 tff(30754,plain,
% 218.83/141.40 (v84(constB24, 2) <=> v84(constB23, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30407, 30088])).
% 218.83/141.40 tff(30755,plain,
% 218.83/141.40 ((~(v84(constB24, 2) <=> v84(constB23, 2))) | v84(constB24, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30409, 29947])).
% 218.83/141.40 tff(30756,plain,
% 218.83/141.40 (v84(constB24, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30755, 30754])).
% 218.83/141.40 tff(30757,plain,
% 218.83/141.40 ((~(v84(constB25, 2) <=> v84(constB24, 2))) | v84(constB25, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30412, 30756])).
% 218.83/141.40 tff(30758,plain,
% 218.83/141.40 (v84(constB25, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30757, 30399])).
% 218.83/141.40 tff(30759,plain,
% 218.83/141.40 ((~(v84(constB26, 2) <=> v84(constB25, 2))) | v84(constB26, 2) | (~v84(constB25, 2))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30760,plain,
% 218.83/141.40 ((~(v84(constB26, 2) <=> v84(constB25, 2))) | v84(constB26, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30759, 30758])).
% 218.83/141.40 tff(30761,plain,
% 218.83/141.40 (v84(constB26, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30760, 30753])).
% 218.83/141.40 tff(30762,plain,
% 218.83/141.40 ((~(v84(constB27, 2) <=> v84(constB26, 2))) | v84(constB27, 2) | (~v84(constB26, 2))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30763,plain,
% 218.83/141.40 ((~(v84(constB27, 2) <=> v84(constB26, 2))) | v84(constB27, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30762, 30761])).
% 218.83/141.40 tff(30764,plain,
% 218.83/141.40 (v84(constB27, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30763, 30744])).
% 218.83/141.40 tff(30765,plain,
% 218.83/141.40 (((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)) | (~v84(constB27, 2))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30766,plain,
% 218.83/141.40 ((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30765, 30764])).
% 218.83/141.40 tff(30767,plain,
% 218.83/141.40 ((~(v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))))) | (~v116(constB27)) | (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30768,plain,
% 218.83/141.40 ((~(v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))))) | (~v116(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30767, 30766])).
% 218.83/141.40 tff(30769,plain,
% 218.83/141.40 (~v116(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30768, 30735])).
% 218.83/141.40 tff(30770,plain,
% 218.83/141.40 ((~(v111(constB27) | v116(constB27))) | v111(constB27) | v116(constB27)),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30771,plain,
% 218.83/141.40 ((~(v111(constB27) | v116(constB27))) | v111(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30770, 30769])).
% 218.83/141.40 tff(30772,plain,
% 218.83/141.40 (~(v111(constB27) | v116(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30771, 30728])).
% 218.83/141.40 tff(30773,plain,
% 218.83/141.40 ((~(v110(constB27) <=> (v111(constB27) | v116(constB27)))) | (~v110(constB27)) | (v111(constB27) | v116(constB27))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30774,plain,
% 218.83/141.40 (~v110(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30773, 30772, 30681])).
% 218.83/141.40 tff(30775,plain,
% 218.83/141.40 ((~(v110(constB27) | v117(constB27))) | v110(constB27) | v117(constB27)),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30776,plain,
% 218.83/141.40 (~(v110(constB27) | v117(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30775, 30774, 30679])).
% 218.83/141.40 tff(30777,assumption,(~(v109(constB27) <=> (v110(constB27) | v117(constB27)))), introduced(assumption)).
% 218.83/141.40 tff(30778,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB27) <=> (v110(constB27) | v117(constB27)))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30779,plain,
% 218.83/141.40 ($false),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30778, 456, 30777])).
% 218.83/141.40 tff(30780,plain,(v109(constB27) <=> (v110(constB27) | v117(constB27))), inference(lemma,lemma(discharge,[]))).
% 218.83/141.40 tff(30781,plain,
% 218.83/141.40 ((~(v109(constB27) <=> (v110(constB27) | v117(constB27)))) | (~v109(constB27)) | (v110(constB27) | v117(constB27))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30782,plain,
% 218.83/141.40 ((~v109(constB27)) | (v110(constB27) | v117(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30781, 30780])).
% 218.83/141.40 tff(30783,plain,
% 218.83/141.40 (~v109(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30782, 30776])).
% 218.83/141.40 tff(30784,plain,
% 218.83/141.40 ((~(v109(constB27) | v118(constB27))) | v109(constB27) | v118(constB27)),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30785,plain,
% 218.83/141.40 (~(v109(constB27) | v118(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30784, 30783, 30665])).
% 218.83/141.40 tff(30786,assumption,(~(v108(constB27) <=> (v109(constB27) | v118(constB27)))), introduced(assumption)).
% 218.83/141.40 tff(30787,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB27) <=> (v109(constB27) | v118(constB27)))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30788,plain,
% 218.83/141.40 ($false),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30787, 428, 30786])).
% 218.83/141.40 tff(30789,plain,(v108(constB27) <=> (v109(constB27) | v118(constB27))), inference(lemma,lemma(discharge,[]))).
% 218.83/141.40 tff(30790,plain,
% 218.83/141.40 ((~(v108(constB27) <=> (v109(constB27) | v118(constB27)))) | (~v108(constB27)) | (v109(constB27) | v118(constB27))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30791,plain,
% 218.83/141.40 ((~v108(constB27)) | (v109(constB27) | v118(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30790, 30789])).
% 218.83/141.40 tff(30792,plain,
% 218.83/141.40 (~v108(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30791, 30785])).
% 218.83/141.40 tff(30793,plain,
% 218.83/141.40 ((~(v108(constB27) | v119(constB27))) | v108(constB27) | v119(constB27)),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30794,plain,
% 218.83/141.40 (~(v108(constB27) | v119(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30793, 30792, 30658])).
% 218.83/141.40 tff(30795,plain,
% 218.83/141.40 ((~(v107(constB27) <=> (v108(constB27) | v119(constB27)))) | (~v107(constB27)) | (v108(constB27) | v119(constB27))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30796,plain,
% 218.83/141.40 (~v107(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30795, 30794, 30610])).
% 218.83/141.40 tff(30797,plain,
% 218.83/141.40 (((~v107(constB27)) | (~v120(constB27))) | v107(constB27)),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30798,plain,
% 218.83/141.40 ((~v107(constB27)) | (~v120(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30797, 30796])).
% 218.83/141.40 tff(30799,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB27) <=> (~((~v107(constB27)) | (~v120(constB27)))))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30800,plain,
% 218.83/141.40 (v106(constB27) <=> (~((~v107(constB27)) | (~v120(constB27))))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30799, 132])).
% 218.83/141.40 tff(30801,plain,
% 218.83/141.40 ((~(v106(constB27) <=> (~((~v107(constB27)) | (~v120(constB27)))))) | (~v106(constB27)) | (~((~v107(constB27)) | (~v120(constB27))))),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30802,plain,
% 218.83/141.40 ((~v106(constB27)) | (~((~v107(constB27)) | (~v120(constB27))))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30801, 30800])).
% 218.83/141.40 tff(30803,plain,
% 218.83/141.40 (~v106(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30802, 30798])).
% 218.83/141.40 tff(30804,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB27) <=> v26(constB27))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30805,plain,
% 218.83/141.40 (v105(constB27) <=> v26(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30804, 156])).
% 218.83/141.40 tff(30806,plain,
% 218.83/141.40 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 218.83/141.40 inference(quant_inst,[status(thm)],[])).
% 218.83/141.40 tff(30807,plain,
% 218.83/141.40 (~v26(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30806, 168])).
% 218.83/141.40 tff(30808,plain,
% 218.83/141.40 ((~(v105(constB27) <=> v26(constB27))) | (~v105(constB27)) | v26(constB27)),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30809,plain,
% 218.83/141.40 ((~(v105(constB27) <=> v26(constB27))) | (~v105(constB27))),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30808, 30807])).
% 218.83/141.40 tff(30810,plain,
% 218.83/141.40 (~v105(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30809, 30805])).
% 218.83/141.40 tff(30811,plain,
% 218.83/141.40 ((~(v105(constB27) | v106(constB27))) | v105(constB27) | v106(constB27)),
% 218.83/141.40 inference(tautology,[status(thm)],[])).
% 218.83/141.40 tff(30812,plain,
% 218.83/141.40 ((~(v105(constB27) | v106(constB27))) | v106(constB27)),
% 218.83/141.40 inference(unit_resolution,[status(thm)],[30811, 30810])).
% 218.83/141.40 tff(30813,plain,
% 218.83/141.40 (~(v105(constB27) | v106(constB27))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30812, 30803])).
% 218.83/141.41 tff(30814,plain,
% 218.83/141.41 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB27) <=> (v105(constB27) | v106(constB27)))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30815,plain,
% 218.83/141.41 (v102(constB27) <=> (v105(constB27) | v106(constB27))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30814, 115])).
% 218.83/141.41 tff(30816,plain,
% 218.83/141.41 ((~(v102(constB27) <=> (v105(constB27) | v106(constB27)))) | (~v102(constB27)) | (v105(constB27) | v106(constB27))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30817,plain,
% 218.83/141.41 ((~v102(constB27)) | (v105(constB27) | v106(constB27))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30816, 30815])).
% 218.83/141.41 tff(30818,plain,
% 218.83/141.41 (~v102(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30817, 30813])).
% 218.83/141.41 tff(30819,plain,
% 218.83/141.41 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30820,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27')).
% 218.83/141.41 tff(30821,plain,
% 218.83/141.41 (nextState(constB27, constB28)),
% 218.83/141.41 inference(modus_ponens,[status(thm)],[30820, 30819])).
% 218.83/141.41 tff(30822,plain,
% 218.83/141.41 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27)))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30823,plain,
% 218.83/141.41 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27)))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30824,plain,
% 218.83/141.41 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27))),
% 218.83/141.41 inference(modus_ponens,[status(thm)],[30823, 30822])).
% 218.83/141.41 tff(30825,plain,
% 218.83/141.41 (v104(constB28) <=> v102(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30824, 30821, 101])).
% 218.83/141.41 tff(30826,plain,
% 218.83/141.41 ((~(v104(constB28) <=> v102(constB27))) | (~v104(constB28)) | v102(constB27)),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30827,plain,
% 218.83/141.41 ((~v104(constB28)) | v102(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30826, 30825])).
% 218.83/141.41 tff(30828,plain,
% 218.83/141.41 (~v104(constB28)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30827, 30818])).
% 218.83/141.41 tff(30829,plain,
% 218.83/141.41 (((~v95(constB28)) | (~v104(constB28))) | v104(constB28)),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30830,plain,
% 218.83/141.41 ((~v95(constB28)) | (~v104(constB28))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30829, 30828])).
% 218.83/141.41 tff(30831,plain,
% 218.83/141.41 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28))))))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30832,plain,
% 218.83/141.41 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28))))))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30833,plain,
% 218.83/141.41 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28)))))),
% 218.83/141.41 inference(modus_ponens,[status(thm)],[30832, 30831])).
% 218.83/141.41 tff(30834,plain,
% 218.83/141.41 (v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28))))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30833, 30821, 14])).
% 218.83/141.41 tff(30835,plain,
% 218.83/141.41 ((~(v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28)))))) | (~v94(constB28)) | (~((~v95(constB28)) | (~v104(constB28))))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30836,plain,
% 218.83/141.41 ((~v94(constB28)) | (~((~v95(constB28)) | (~v104(constB28))))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30835, 30834])).
% 218.83/141.41 tff(30837,plain,
% 218.83/141.41 (~v94(constB28)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30836, 30830])).
% 218.83/141.41 tff(30838,plain,
% 218.83/141.41 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB28) | (~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB28) | (~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B))))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30839,plain,
% 218.83/141.41 ((v94(constB28) | (~nextState(constB27, constB28)) | ![B: $int] : ((v84(constB28, B) <=> v84(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB28) | (~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B))))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30840,plain,
% 218.83/141.41 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB28) | (~nextState(constB27, constB28)) | ![B: $int] : ((v84(constB28, B) <=> v84(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB28) | (~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[30839])).
% 218.83/141.41 tff(30841,plain,
% 218.83/141.41 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB28) | (~nextState(constB27, constB28)) | ![B: $int] : ((v84(constB28, B) <=> v84(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB28) | (~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B))))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30840, 30838])).
% 218.83/141.41 tff(30842,plain,
% 218.83/141.41 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB28) | (~nextState(constB27, constB28)) | ![B: $int] : ((v84(constB28, B) <=> v84(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30843,plain,
% 218.83/141.41 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB28) | (~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))),
% 218.83/141.41 inference(modus_ponens,[status(thm)],[30842, 30841])).
% 218.83/141.41 tff(30844,plain,
% 218.83/141.41 (v94(constB28) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30843, 30821, 235])).
% 218.83/141.41 tff(30845,plain,
% 218.83/141.41 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30844, 30837])).
% 218.83/141.41 tff(30846,assumption,(~(v84(constB28, 1) <=> v84(constB27, 1))), introduced(assumption)).
% 218.83/141.41 tff(30847,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))), introduced(assumption)).
% 218.83/141.41 tff(30848,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 1) <=> v84(constB27, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 1) <=> v84(constB27, 1)))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30849,plain,
% 218.83/141.41 (($false | $false | (v84(constB28, 1) <=> v84(constB27, 1))) <=> (v84(constB28, 1) <=> v84(constB27, 1))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30850,plain,
% 218.83/141.41 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB28, 1) <=> v84(constB27, 1))) <=> ($false | $false | (v84(constB28, 1) <=> v84(constB27, 1)))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[402, 401])).
% 218.83/141.41 tff(30851,plain,
% 218.83/141.41 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB28, 1) <=> v84(constB27, 1))) <=> (v84(constB28, 1) <=> v84(constB27, 1))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30850, 30849])).
% 218.83/141.41 tff(30852,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB28, 1) <=> v84(constB27, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 1) <=> v84(constB27, 1)))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[30851])).
% 218.83/141.41 tff(30853,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB28, 1) <=> v84(constB27, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 1) <=> v84(constB27, 1)))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30852, 30848])).
% 218.83/141.41 tff(30854,plain,
% 218.83/141.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB28, 1) <=> v84(constB27, 1)))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30855,plain,
% 218.83/141.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 1) <=> v84(constB27, 1))),
% 218.83/141.41 inference(modus_ponens,[status(thm)],[30854, 30853])).
% 218.83/141.41 tff(30856,plain,
% 218.83/141.41 ($false),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30855, 30847, 30846])).
% 218.83/141.41 tff(30857,plain,((v84(constB28, 1) <=> v84(constB27, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B))))), inference(lemma,lemma(discharge,[]))).
% 218.83/141.41 tff(30858,plain,
% 218.83/141.41 (v84(constB28, 1) <=> v84(constB27, 1)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30857, 30845])).
% 218.83/141.41 tff(30859,plain,
% 218.83/141.41 ((~(v84(constB28, 1) <=> v84(constB27, 1))) | v84(constB28, 1) | (~v84(constB27, 1))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30860,plain,
% 218.83/141.41 (v84(constB28, 1)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30859, 30858, 30608])).
% 218.83/141.41 tff(30861,plain,
% 218.83/141.41 ((~(v84(constB29, 1) <=> v84(constB28, 1))) | v84(constB29, 1) | (~v84(constB28, 1))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30862,plain,
% 218.83/141.41 ((~(v84(constB29, 1) <=> v84(constB28, 1))) | v84(constB29, 1)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30861, 30860])).
% 218.83/141.41 tff(30863,plain,
% 218.83/141.41 (v84(constB29, 1)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30862, 29691])).
% 218.83/141.41 tff(30864,plain,
% 218.83/141.41 ((v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))) | (~v84(constB29, 1))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30865,plain,
% 218.83/141.41 (v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30864, 30863])).
% 218.83/141.41 tff(30866,plain,
% 218.83/141.41 ((~(v114(constB29) <=> (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))))) | (~v114(constB29)) | (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30867,plain,
% 218.83/141.41 ((~(v114(constB29) <=> (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))))) | (~v114(constB29))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30866, 30865])).
% 218.83/141.41 tff(30868,plain,
% 218.83/141.41 (~v114(constB29)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30867, 29648])).
% 218.83/141.41 tff(30869,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 2) <=> v84(constB27, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 2) <=> v84(constB27, 2)))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30870,plain,
% 218.83/141.41 (($false | $false | (v84(constB28, 2) <=> v84(constB27, 2))) <=> (v84(constB28, 2) <=> v84(constB27, 2))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30871,plain,
% 218.83/141.41 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB28, 2) <=> v84(constB27, 2))) <=> ($false | $false | (v84(constB28, 2) <=> v84(constB27, 2)))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[534, 533])).
% 218.83/141.41 tff(30872,plain,
% 218.83/141.41 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB28, 2) <=> v84(constB27, 2))) <=> (v84(constB28, 2) <=> v84(constB27, 2))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30871, 30870])).
% 218.83/141.41 tff(30873,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB28, 2) <=> v84(constB27, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 2) <=> v84(constB27, 2)))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[30872])).
% 218.83/141.41 tff(30874,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB28, 2) <=> v84(constB27, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 2) <=> v84(constB27, 2)))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30873, 30869])).
% 218.83/141.41 tff(30875,plain,
% 218.83/141.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB28, 2) <=> v84(constB27, 2)))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30876,plain,
% 218.83/141.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 2) <=> v84(constB27, 2))),
% 218.83/141.41 inference(modus_ponens,[status(thm)],[30875, 30874])).
% 218.83/141.41 tff(30877,plain,
% 218.83/141.41 (v84(constB28, 2) <=> v84(constB27, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30876, 30845])).
% 218.83/141.41 tff(30878,plain,
% 218.83/141.41 ((~(v84(constB28, 2) <=> v84(constB27, 2))) | v84(constB28, 2) | (~v84(constB27, 2))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30879,plain,
% 218.83/141.41 ((~(v84(constB28, 2) <=> v84(constB27, 2))) | v84(constB28, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30878, 30764])).
% 218.83/141.41 tff(30880,plain,
% 218.83/141.41 (v84(constB28, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30879, 30877])).
% 218.83/141.41 tff(30881,assumption,(~(v84(constB29, 2) <=> v84(constB28, 2))), introduced(assumption)).
% 218.83/141.41 tff(30882,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 2) <=> v84(constB28, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 2) <=> v84(constB28, 2)))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30883,plain,
% 218.83/141.41 (($false | $false | (v84(constB29, 2) <=> v84(constB28, 2))) <=> (v84(constB29, 2) <=> v84(constB28, 2))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30884,plain,
% 218.83/141.41 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB29, 2) <=> v84(constB28, 2))) <=> ($false | $false | (v84(constB29, 2) <=> v84(constB28, 2)))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[534, 533])).
% 218.83/141.41 tff(30885,plain,
% 218.83/141.41 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB29, 2) <=> v84(constB28, 2))) <=> (v84(constB29, 2) <=> v84(constB28, 2))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30884, 30883])).
% 218.83/141.41 tff(30886,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB29, 2) <=> v84(constB28, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 2) <=> v84(constB28, 2)))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[30885])).
% 218.83/141.41 tff(30887,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB29, 2) <=> v84(constB28, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 2) <=> v84(constB28, 2)))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30886, 30882])).
% 218.83/141.41 tff(30888,plain,
% 218.83/141.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB29, 2) <=> v84(constB28, 2)))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30889,plain,
% 218.83/141.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 2) <=> v84(constB28, 2))),
% 218.83/141.41 inference(modus_ponens,[status(thm)],[30888, 30887])).
% 218.83/141.41 tff(30890,plain,
% 218.83/141.41 ($false),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30889, 29682, 30881])).
% 218.83/141.41 tff(30891,plain,(v84(constB29, 2) <=> v84(constB28, 2)), inference(lemma,lemma(discharge,[]))).
% 218.83/141.41 tff(30892,plain,
% 218.83/141.41 ((~(v84(constB29, 2) <=> v84(constB28, 2))) | v84(constB29, 2) | (~v84(constB28, 2))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30893,plain,
% 218.83/141.41 (v84(constB29, 2) | (~v84(constB28, 2))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30892, 30891])).
% 218.83/141.41 tff(30894,plain,
% 218.83/141.41 (v84(constB29, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30893, 30880])).
% 218.83/141.41 tff(30895,plain,
% 218.83/141.41 ((v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)) | (~v84(constB29, 2))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30896,plain,
% 218.83/141.41 (v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30895, 30894])).
% 218.83/141.41 tff(30897,assumption,(~(v113(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2))))), introduced(assumption)).
% 218.83/141.41 tff(30898,plain,
% 218.83/141.41 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2))))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30899,plain,
% 218.83/141.41 ($false),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30898, 597, 30897])).
% 218.83/141.41 tff(30900,plain,(v113(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.83/141.41 tff(30901,plain,
% 218.83/141.41 ((~(v113(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2))))) | (~v113(constB29)) | (~(v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30902,plain,
% 218.83/141.41 ((~v113(constB29)) | (~(v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30901, 30900])).
% 218.83/141.41 tff(30903,plain,
% 218.83/141.41 (~v113(constB29)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30902, 30896])).
% 218.83/141.41 tff(30904,plain,
% 218.83/141.41 ((~(v113(constB29) | v114(constB29))) | v113(constB29) | v114(constB29)),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30905,plain,
% 218.83/141.41 (~(v113(constB29) | v114(constB29))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30904, 30903, 30868])).
% 218.83/141.41 tff(30906,plain,
% 218.83/141.41 ((~(v112(constB29) <=> (v113(constB29) | v114(constB29)))) | (~v112(constB29)) | (v113(constB29) | v114(constB29))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30907,plain,
% 218.83/141.41 ((~(v112(constB29) <=> (v113(constB29) | v114(constB29)))) | (~v112(constB29))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30906, 30905])).
% 218.83/141.41 tff(30908,plain,
% 218.83/141.41 (~v112(constB29)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30907, 29646])).
% 218.83/141.41 tff(30909,plain,
% 218.83/141.41 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30910,plain,
% 218.83/141.41 (v115(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30909, 622])).
% 218.83/141.41 tff(30911,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 0) <=> v84(constB28, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 0) <=> v84(constB28, 0)))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30912,plain,
% 218.83/141.41 (($false | $false | (v84(constB29, 0) <=> v84(constB28, 0))) <=> (v84(constB29, 0) <=> v84(constB28, 0))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30913,plain,
% 218.83/141.41 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB29, 0) <=> v84(constB28, 0))) <=> ($false | $false | (v84(constB29, 0) <=> v84(constB28, 0)))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[250, 249])).
% 218.83/141.41 tff(30914,plain,
% 218.83/141.41 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB29, 0) <=> v84(constB28, 0))) <=> (v84(constB29, 0) <=> v84(constB28, 0))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30913, 30912])).
% 218.83/141.41 tff(30915,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB29, 0) <=> v84(constB28, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 0) <=> v84(constB28, 0)))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[30914])).
% 218.83/141.41 tff(30916,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB29, 0) <=> v84(constB28, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 0) <=> v84(constB28, 0)))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30915, 30911])).
% 218.83/141.41 tff(30917,plain,
% 218.83/141.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB29, 0) <=> v84(constB28, 0)))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30918,plain,
% 218.83/141.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB29, B) <=> v84(constB28, B)))) | (v84(constB29, 0) <=> v84(constB28, 0))),
% 218.83/141.41 inference(modus_ponens,[status(thm)],[30917, 30916])).
% 218.83/141.41 tff(30919,plain,
% 218.83/141.41 (v84(constB29, 0) <=> v84(constB28, 0)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30918, 29682])).
% 218.83/141.41 tff(30920,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 0) <=> v84(constB27, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 0) <=> v84(constB27, 0)))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30921,plain,
% 218.83/141.41 (($false | $false | (v84(constB28, 0) <=> v84(constB27, 0))) <=> (v84(constB28, 0) <=> v84(constB27, 0))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30922,plain,
% 218.83/141.41 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB28, 0) <=> v84(constB27, 0))) <=> ($false | $false | (v84(constB28, 0) <=> v84(constB27, 0)))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[250, 249])).
% 218.83/141.41 tff(30923,plain,
% 218.83/141.41 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB28, 0) <=> v84(constB27, 0))) <=> (v84(constB28, 0) <=> v84(constB27, 0))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30922, 30921])).
% 218.83/141.41 tff(30924,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB28, 0) <=> v84(constB27, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 0) <=> v84(constB27, 0)))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[30923])).
% 218.83/141.41 tff(30925,plain,
% 218.83/141.41 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB28, 0) <=> v84(constB27, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 0) <=> v84(constB27, 0)))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30924, 30920])).
% 218.83/141.41 tff(30926,plain,
% 218.83/141.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB28, 0) <=> v84(constB27, 0)))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30927,plain,
% 218.83/141.41 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))) | (v84(constB28, 0) <=> v84(constB27, 0))),
% 218.83/141.41 inference(modus_ponens,[status(thm)],[30926, 30925])).
% 218.83/141.41 tff(30928,plain,
% 218.83/141.41 (v84(constB28, 0) <=> v84(constB27, 0)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30927, 30845])).
% 218.83/141.41 tff(30929,plain,
% 218.83/141.41 ((~(v84(constB28, 0) <=> v84(constB27, 0))) | v84(constB28, 0) | (~v84(constB27, 0))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30930,plain,
% 218.83/141.41 ((~(v84(constB28, 0) <=> v84(constB27, 0))) | v84(constB28, 0)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30929, 30644])).
% 218.83/141.41 tff(30931,plain,
% 218.83/141.41 (v84(constB28, 0)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30930, 30928])).
% 218.83/141.41 tff(30932,plain,
% 218.83/141.41 ((~(v84(constB29, 0) <=> v84(constB28, 0))) | v84(constB29, 0) | (~v84(constB28, 0))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30933,plain,
% 218.83/141.41 ((~(v84(constB29, 0) <=> v84(constB28, 0))) | v84(constB29, 0)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30932, 30931])).
% 218.83/141.41 tff(30934,plain,
% 218.83/141.41 (v84(constB29, 0)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30933, 30919])).
% 218.83/141.41 tff(30935,plain,
% 218.83/141.41 ((v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))) | (~v84(constB29, 0))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30936,plain,
% 218.83/141.41 (v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30935, 30934])).
% 218.83/141.41 tff(30937,plain,
% 218.83/141.41 ((~(v115(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))))) | (~v115(constB29)) | (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30938,plain,
% 218.83/141.41 ((~(v115(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))))) | (~v115(constB29))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30937, 30936])).
% 218.83/141.41 tff(30939,plain,
% 218.83/141.41 (~v115(constB29)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30938, 30910])).
% 218.83/141.41 tff(30940,plain,
% 218.83/141.41 ((~(v112(constB29) | v115(constB29))) | v112(constB29) | v115(constB29)),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30941,plain,
% 218.83/141.41 ((~(v112(constB29) | v115(constB29))) | v112(constB29)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30940, 30939])).
% 218.83/141.41 tff(30942,plain,
% 218.83/141.41 (~(v112(constB29) | v115(constB29))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30941, 30908])).
% 218.83/141.41 tff(30943,plain,
% 218.83/141.41 ((~(v111(constB29) <=> (v112(constB29) | v115(constB29)))) | (~v111(constB29)) | (v112(constB29) | v115(constB29))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30944,plain,
% 218.83/141.41 (~v111(constB29)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30943, 30942, 29644])).
% 218.83/141.41 tff(30945,plain,
% 218.83/141.41 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))))))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30946,plain,
% 218.83/141.41 ((v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 1)) | (~v84(constB29, 0))))) <=> (v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))))),
% 218.83/141.41 inference(rewrite,[status(thm)],[])).
% 218.83/141.41 tff(30947,plain,
% 218.83/141.41 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 1)) | (~v84(constB29, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))))))),
% 218.83/141.41 inference(monotonicity,[status(thm)],[30946])).
% 218.83/141.41 tff(30948,plain,
% 218.83/141.41 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 1)) | (~v84(constB29, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))))))),
% 218.83/141.41 inference(transitivity,[status(thm)],[30947, 30945])).
% 218.83/141.41 tff(30949,plain,
% 218.83/141.41 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 1)) | (~v84(constB29, 0)))))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30950,plain,
% 218.83/141.41 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))))),
% 218.83/141.41 inference(modus_ponens,[status(thm)],[30949, 30948])).
% 218.83/141.41 tff(30951,plain,
% 218.83/141.41 (v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30950, 521])).
% 218.83/141.41 tff(30952,plain,
% 218.83/141.41 ((v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))) | (~v84(constB29, 2))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30953,plain,
% 218.83/141.41 (v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30952, 30894])).
% 218.83/141.41 tff(30954,plain,
% 218.83/141.41 ((~(v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))))) | (~v116(constB29)) | (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30955,plain,
% 218.83/141.41 ((~(v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))))) | (~v116(constB29))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30954, 30953])).
% 218.83/141.41 tff(30956,plain,
% 218.83/141.41 (~v116(constB29)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30955, 30951])).
% 218.83/141.41 tff(30957,plain,
% 218.83/141.41 ((~(v111(constB29) | v116(constB29))) | v111(constB29) | v116(constB29)),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30958,plain,
% 218.83/141.41 ((~(v111(constB29) | v116(constB29))) | v111(constB29)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30957, 30956])).
% 218.83/141.41 tff(30959,plain,
% 218.83/141.41 (~(v111(constB29) | v116(constB29))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30958, 30944])).
% 218.83/141.41 tff(30960,plain,
% 218.83/141.41 ((~(v110(constB29) <=> (v111(constB29) | v116(constB29)))) | (~v110(constB29)) | (v111(constB29) | v116(constB29))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30961,plain,
% 218.83/141.41 (~v110(constB29)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30960, 30959, 29642])).
% 218.83/141.41 tff(30962,plain,
% 218.83/141.41 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(30963,plain,
% 218.83/141.41 (v117(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30962, 656])).
% 218.83/141.41 tff(30964,plain,
% 218.83/141.41 (v84(constB29, 2) <=> v84(constB28, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30889, 29682])).
% 218.83/141.41 tff(30965,assumption,(~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))), introduced(assumption)).
% 218.83/141.41 tff(30966,plain,
% 218.83/141.41 ((v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))) | v84(constB29, 2)),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30967,plain,
% 218.83/141.41 (v84(constB29, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30966, 30965])).
% 218.83/141.41 tff(30968,plain,
% 218.83/141.41 ((~(v84(constB29, 2) <=> v84(constB28, 2))) | (~v84(constB29, 2)) | v84(constB28, 2)),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30969,plain,
% 218.83/141.41 ((~(v84(constB29, 2) <=> v84(constB28, 2))) | v84(constB28, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30968, 30967])).
% 218.83/141.41 tff(30970,plain,
% 218.83/141.41 (v84(constB28, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30969, 30964])).
% 218.83/141.41 tff(30971,assumption,(~v106(constB27)), introduced(assumption)).
% 218.83/141.41 tff(30972,plain,
% 218.83/141.41 ((v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))) | (~v84(constB29, 1))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30973,plain,
% 218.83/141.41 (~v84(constB29, 1)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30972, 30965])).
% 218.83/141.41 tff(30974,plain,
% 218.83/141.41 ((~(v84(constB29, 1) <=> v84(constB28, 1))) | (~v84(constB28, 1))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30861, 30973])).
% 218.83/141.41 tff(30975,plain,
% 218.83/141.41 (~v84(constB28, 1)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30974, 29691])).
% 218.83/141.41 tff(30976,plain,
% 218.83/141.41 ((v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))) | (~v84(constB29, 0))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30977,plain,
% 218.83/141.41 (~v84(constB29, 0)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30976, 30965])).
% 218.83/141.41 tff(30978,plain,
% 218.83/141.41 ((~(v84(constB29, 0) <=> v84(constB28, 0))) | (~v84(constB28, 0))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30932, 30977])).
% 218.83/141.41 tff(30979,plain,
% 218.83/141.41 (~v84(constB28, 0)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30978, 30919])).
% 218.83/141.41 tff(30980,plain,
% 218.83/141.41 (v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30674, 656])).
% 218.83/141.41 tff(30981,plain,
% 218.83/141.41 (~(v105(constB27) | v106(constB27))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30812, 30971])).
% 218.83/141.41 tff(30982,plain,
% 218.83/141.41 (~v102(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30817, 30981])).
% 218.83/141.41 tff(30983,plain,
% 218.83/141.41 (~v104(constB28)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30827, 30982])).
% 218.83/141.41 tff(30984,plain,
% 218.83/141.41 ((~v95(constB28)) | (~v104(constB28))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30829, 30983])).
% 218.83/141.41 tff(30985,plain,
% 218.83/141.41 (~v94(constB28)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30836, 30984])).
% 218.83/141.41 tff(30986,plain,
% 218.83/141.41 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30844, 30985])).
% 218.83/141.41 tff(30987,plain,
% 218.83/141.41 (v84(constB28, 2) <=> v84(constB27, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30876, 30986])).
% 218.83/141.41 tff(30988,assumption,(v84(constB28, 2)), introduced(assumption)).
% 218.83/141.41 tff(30989,plain,
% 218.83/141.41 ((~(v84(constB28, 2) <=> v84(constB27, 2))) | (~v84(constB28, 2)) | v84(constB27, 2)),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(30990,plain,
% 218.83/141.41 ((~(v84(constB28, 2) <=> v84(constB27, 2))) | v84(constB27, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30989, 30988])).
% 218.83/141.41 tff(30991,plain,
% 218.83/141.41 (v84(constB27, 2)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30990, 30987])).
% 218.83/141.41 tff(30992,plain,
% 218.83/141.41 (v84(constB28, 0) <=> v84(constB27, 0)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30927, 30986])).
% 218.83/141.41 tff(30993,assumption,(~v84(constB28, 0)), introduced(assumption)).
% 218.83/141.41 tff(30994,plain,
% 218.83/141.41 ((~(v84(constB28, 0) <=> v84(constB27, 0))) | (~v84(constB27, 0))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30929, 30993])).
% 218.83/141.41 tff(30995,plain,
% 218.83/141.41 (~v84(constB27, 0)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30994, 30992])).
% 218.83/141.41 tff(30996,plain,
% 218.83/141.41 (v84(constB28, 1) <=> v84(constB27, 1)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30855, 30986])).
% 218.83/141.41 tff(30997,assumption,(~v84(constB28, 1)), introduced(assumption)).
% 218.83/141.41 tff(30998,plain,
% 218.83/141.41 ((~(v84(constB28, 1) <=> v84(constB27, 1))) | (~v84(constB27, 1))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30859, 30997])).
% 218.83/141.41 tff(30999,plain,
% 218.83/141.41 (~v84(constB27, 1)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30998, 30996])).
% 218.83/141.41 tff(31000,plain,
% 218.83/141.41 ((~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))) | v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31001,plain,
% 218.83/141.41 (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31000, 30999, 30995, 30991])).
% 218.83/141.41 tff(31002,plain,
% 218.83/141.41 ((~(v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))))) | v117(constB27) | (v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31003,plain,
% 218.83/141.41 ((~(v117(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))))) | v117(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31002, 31001])).
% 218.83/141.41 tff(31004,plain,
% 218.83/141.41 (v117(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31003, 30980])).
% 218.83/141.41 tff(31005,plain,
% 218.83/141.41 ((v110(constB27) | v117(constB27)) | (~v117(constB27))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31006,plain,
% 218.83/141.41 (v110(constB27) | v117(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31005, 31004])).
% 218.83/141.41 tff(31007,plain,
% 218.83/141.41 (v108(constB27) <=> (v109(constB27) | v118(constB27))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[30787, 428])).
% 218.83/141.41 tff(31008,plain,
% 218.83/141.41 ((~(v106(constB27) <=> (~((~v107(constB27)) | (~v120(constB27)))))) | v106(constB27) | ((~v107(constB27)) | (~v120(constB27)))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31009,plain,
% 218.83/141.41 (v106(constB27) | ((~v107(constB27)) | (~v120(constB27)))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31008, 30800])).
% 218.83/141.41 tff(31010,plain,
% 218.83/141.41 ((~v107(constB27)) | (~v120(constB27))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31009, 30971])).
% 218.83/141.41 tff(31011,plain,
% 218.83/141.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB27)) <=> v105(constB27))),
% 218.83/141.41 inference(quant_inst,[status(thm)],[])).
% 218.83/141.41 tff(31012,plain,
% 218.83/141.41 ((~v120(constB27)) <=> v105(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31011, 144])).
% 218.83/141.41 tff(31013,plain,
% 218.83/141.41 ((~((~v120(constB27)) <=> v105(constB27))) | v120(constB27) | v105(constB27)),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31014,plain,
% 218.83/141.41 ((~((~v120(constB27)) <=> v105(constB27))) | v120(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31013, 30810])).
% 218.83/141.41 tff(31015,plain,
% 218.83/141.41 (v120(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31014, 31012])).
% 218.83/141.41 tff(31016,plain,
% 218.83/141.41 ((~((~v107(constB27)) | (~v120(constB27)))) | (~v107(constB27)) | (~v120(constB27))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31017,plain,
% 218.83/141.41 ((~((~v107(constB27)) | (~v120(constB27)))) | (~v107(constB27))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31016, 31015])).
% 218.83/141.41 tff(31018,plain,
% 218.83/141.41 (~v107(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31017, 31010])).
% 218.83/141.41 tff(31019,plain,
% 218.83/141.41 ((~(v107(constB27) <=> (v108(constB27) | v119(constB27)))) | v107(constB27) | (~(v108(constB27) | v119(constB27)))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31020,plain,
% 218.83/141.41 ((~(v107(constB27) <=> (v108(constB27) | v119(constB27)))) | (~(v108(constB27) | v119(constB27)))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31019, 31018])).
% 218.83/141.41 tff(31021,plain,
% 218.83/141.41 (~(v108(constB27) | v119(constB27))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31020, 30610])).
% 218.83/141.41 tff(31022,plain,
% 218.83/141.41 ((v108(constB27) | v119(constB27)) | (~v108(constB27))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31023,plain,
% 218.83/141.41 (~v108(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31022, 31021])).
% 218.83/141.41 tff(31024,plain,
% 218.83/141.41 ((~(v108(constB27) <=> (v109(constB27) | v118(constB27)))) | v108(constB27) | (~(v109(constB27) | v118(constB27)))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31025,plain,
% 218.83/141.41 ((~(v108(constB27) <=> (v109(constB27) | v118(constB27)))) | (~(v109(constB27) | v118(constB27)))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31024, 31023])).
% 218.83/141.41 tff(31026,plain,
% 218.83/141.41 (~(v109(constB27) | v118(constB27))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31025, 31007])).
% 218.83/141.41 tff(31027,plain,
% 218.83/141.41 ((v109(constB27) | v118(constB27)) | (~v109(constB27))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31028,plain,
% 218.83/141.41 (~v109(constB27)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31027, 31026])).
% 218.83/141.41 tff(31029,plain,
% 218.83/141.41 ((~(v109(constB27) <=> (v110(constB27) | v117(constB27)))) | v109(constB27) | (~(v110(constB27) | v117(constB27)))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31030,plain,
% 218.83/141.41 ($false),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31029, 31028, 31006, 30780])).
% 218.83/141.41 tff(31031,plain,(v106(constB27) | (~v84(constB28, 2)) | v84(constB28, 0) | v84(constB28, 1)), inference(lemma,lemma(discharge,[]))).
% 218.83/141.41 tff(31032,plain,
% 218.83/141.41 ($false),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31031, 30979, 30975, 30971, 30970])).
% 218.83/141.41 tff(31033,plain,((v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))) | v106(constB27)), inference(lemma,lemma(discharge,[]))).
% 218.83/141.41 tff(31034,plain,
% 218.83/141.41 (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31033, 30803])).
% 218.83/141.41 tff(31035,plain,
% 218.83/141.41 ((~(v117(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))))) | (~v117(constB29)) | (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))))),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31036,plain,
% 218.83/141.41 ((~(v117(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))))) | (~v117(constB29))),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31035, 31034])).
% 218.83/141.41 tff(31037,plain,
% 218.83/141.41 (~v117(constB29)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31036, 30963])).
% 218.83/141.41 tff(31038,plain,
% 218.83/141.41 ((~(v110(constB29) | v117(constB29))) | v110(constB29) | v117(constB29)),
% 218.83/141.41 inference(tautology,[status(thm)],[])).
% 218.83/141.41 tff(31039,plain,
% 218.83/141.41 ((~(v110(constB29) | v117(constB29))) | v110(constB29)),
% 218.83/141.41 inference(unit_resolution,[status(thm)],[31038, 31037])).
% 218.83/141.42 tff(31040,plain,
% 218.83/141.42 (~(v110(constB29) | v117(constB29))),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31039, 30961])).
% 218.83/141.42 tff(31041,plain,
% 218.83/141.42 ((~(v109(constB29) <=> (v110(constB29) | v117(constB29)))) | (~v109(constB29)) | (v110(constB29) | v117(constB29))),
% 218.83/141.42 inference(tautology,[status(thm)],[])).
% 218.83/141.42 tff(31042,plain,
% 218.83/141.42 (~v109(constB29)),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31041, 31040, 29640])).
% 218.83/141.42 tff(31043,plain,
% 218.83/141.42 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))))))),
% 218.83/141.42 inference(rewrite,[status(thm)],[])).
% 218.83/141.42 tff(31044,plain,
% 218.83/141.42 ((v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 0)) | (~v84(constB29, 2))))) <=> (v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))))),
% 218.83/141.42 inference(rewrite,[status(thm)],[])).
% 218.83/141.42 tff(31045,plain,
% 218.83/141.42 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 0)) | (~v84(constB29, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))))))),
% 218.83/141.42 inference(monotonicity,[status(thm)],[31044])).
% 218.83/141.42 tff(31046,plain,
% 218.83/141.42 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 0)) | (~v84(constB29, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))))))),
% 218.83/141.42 inference(transitivity,[status(thm)],[31045, 31043])).
% 218.83/141.42 tff(31047,plain,
% 218.83/141.42 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 0)) | (~v84(constB29, 2)))))),
% 218.83/141.42 inference(quant_inst,[status(thm)],[])).
% 218.83/141.42 tff(31048,plain,
% 218.83/141.42 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))))),
% 218.83/141.42 inference(modus_ponens,[status(thm)],[31047, 31046])).
% 218.83/141.42 tff(31049,plain,
% 218.83/141.42 (v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))))),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31048, 394])).
% 218.83/141.42 tff(31050,plain,
% 218.83/141.42 ((v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))) | (~v84(constB29, 1))),
% 218.83/141.42 inference(tautology,[status(thm)],[])).
% 218.83/141.42 tff(31051,plain,
% 218.83/141.42 (v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31050, 30863])).
% 218.83/141.42 tff(31052,plain,
% 218.83/141.42 ((~(v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))))) | (~v118(constB29)) | (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))))),
% 218.83/141.42 inference(tautology,[status(thm)],[])).
% 218.83/141.42 tff(31053,plain,
% 218.83/141.42 ((~(v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))))) | (~v118(constB29))),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31052, 31051])).
% 218.83/141.42 tff(31054,plain,
% 218.83/141.42 (~v118(constB29)),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31053, 31049])).
% 218.83/141.42 tff(31055,plain,
% 218.83/141.42 ((~(v109(constB29) | v118(constB29))) | v109(constB29) | v118(constB29)),
% 218.83/141.42 inference(tautology,[status(thm)],[])).
% 218.83/141.42 tff(31056,plain,
% 218.83/141.42 ((~(v109(constB29) | v118(constB29))) | v109(constB29)),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31055, 31054])).
% 218.83/141.42 tff(31057,plain,
% 218.83/141.42 (~(v109(constB29) | v118(constB29))),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31056, 31042])).
% 218.83/141.42 tff(31058,plain,
% 218.83/141.42 ((~(v108(constB29) <=> (v109(constB29) | v118(constB29)))) | (~v108(constB29)) | (v109(constB29) | v118(constB29))),
% 218.83/141.42 inference(tautology,[status(thm)],[])).
% 218.83/141.42 tff(31059,plain,
% 218.83/141.42 (~v108(constB29)),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31058, 31057, 29638])).
% 218.83/141.42 tff(31060,plain,
% 218.83/141.42 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))))))),
% 218.83/141.42 inference(rewrite,[status(thm)],[])).
% 218.83/141.42 tff(31061,plain,
% 218.83/141.42 ((v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 1)) | (~v84(constB29, 2))))) <=> (v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1)))))),
% 218.83/141.42 inference(rewrite,[status(thm)],[])).
% 218.83/141.42 tff(31062,plain,
% 218.83/141.42 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 1)) | (~v84(constB29, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))))))),
% 218.83/141.42 inference(monotonicity,[status(thm)],[31061])).
% 218.83/141.42 tff(31063,plain,
% 218.83/141.42 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 1)) | (~v84(constB29, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))))))),
% 218.83/141.42 inference(transitivity,[status(thm)],[31062, 31060])).
% 218.83/141.42 tff(31064,plain,
% 218.83/141.42 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 1)) | (~v84(constB29, 2)))))),
% 218.83/141.42 inference(quant_inst,[status(thm)],[])).
% 218.83/141.42 tff(31065,plain,
% 218.83/141.42 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1)))))),
% 218.83/141.42 inference(modus_ponens,[status(thm)],[31064, 31063])).
% 218.83/141.42 tff(31066,plain,
% 218.83/141.42 (v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))))),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31065, 318])).
% 218.83/141.42 tff(31067,plain,
% 218.83/141.42 ((v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))) | (~v84(constB29, 0))),
% 218.83/141.42 inference(tautology,[status(thm)],[])).
% 218.83/141.42 tff(31068,plain,
% 218.83/141.42 (v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31067, 30934])).
% 218.83/141.42 tff(31069,plain,
% 218.83/141.42 ((~(v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1)))))) | (~v119(constB29)) | (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))))),
% 218.83/141.42 inference(tautology,[status(thm)],[])).
% 218.83/141.42 tff(31070,plain,
% 218.83/141.42 ((~(v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1)))))) | (~v119(constB29))),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31069, 31068])).
% 218.83/141.42 tff(31071,plain,
% 218.83/141.42 (~v119(constB29)),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31070, 31066])).
% 218.83/141.42 tff(31072,plain,
% 218.83/141.42 ((~(v108(constB29) | v119(constB29))) | v108(constB29) | v119(constB29)),
% 218.83/141.42 inference(tautology,[status(thm)],[])).
% 218.83/141.42 tff(31073,plain,
% 218.83/141.42 ((~(v108(constB29) | v119(constB29))) | v108(constB29)),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31072, 31071])).
% 218.83/141.42 tff(31074,plain,
% 218.83/141.42 (~(v108(constB29) | v119(constB29))),
% 218.83/141.42 inference(unit_resolution,[status(thm)],[31073, 31059])).
% 218.83/141.42 tff(31075,plain,
% 218.83/141.42 ((~(v107(constB29) <=> (v108(constB29) | v119(constB29)))) | (~v107(constB29)) | (v108(constB29) | v119(constB29))),
% 218.83/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31076,plain,
% 218.88/141.42 (~v107(constB29)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31075, 31074, 29636])).
% 218.88/141.42 tff(31077,plain,
% 218.88/141.42 (((~v107(constB29)) | (~v120(constB29))) | v107(constB29)),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31078,plain,
% 218.88/141.42 ((~v107(constB29)) | (~v120(constB29))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31077, 31076])).
% 218.88/141.42 tff(31079,plain,
% 218.88/141.42 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB29) <=> (~((~v107(constB29)) | (~v120(constB29)))))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31080,plain,
% 218.88/141.42 (v106(constB29) <=> (~((~v107(constB29)) | (~v120(constB29))))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31079, 132])).
% 218.88/141.42 tff(31081,plain,
% 218.88/141.42 ((~(v106(constB29) <=> (~((~v107(constB29)) | (~v120(constB29)))))) | (~v106(constB29)) | (~((~v107(constB29)) | (~v120(constB29))))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31082,plain,
% 218.88/141.42 ((~v106(constB29)) | (~((~v107(constB29)) | (~v120(constB29))))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31081, 31080])).
% 218.88/141.42 tff(31083,plain,
% 218.88/141.42 (~v106(constB29)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31082, 31078])).
% 218.88/141.42 tff(31084,plain,
% 218.88/141.42 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB29) <=> v26(constB29))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31085,plain,
% 218.88/141.42 (v105(constB29) <=> v26(constB29)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31084, 156])).
% 218.88/141.42 tff(31086,plain,
% 218.88/141.42 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31087,plain,
% 218.88/141.42 (~v26(constB29)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31086, 168])).
% 218.88/141.42 tff(31088,plain,
% 218.88/141.42 ((~(v105(constB29) <=> v26(constB29))) | (~v105(constB29)) | v26(constB29)),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31089,plain,
% 218.88/141.42 ((~(v105(constB29) <=> v26(constB29))) | (~v105(constB29))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31088, 31087])).
% 218.88/141.42 tff(31090,plain,
% 218.88/141.42 (~v105(constB29)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31089, 31085])).
% 218.88/141.42 tff(31091,plain,
% 218.88/141.42 ((~(v105(constB29) | v106(constB29))) | v105(constB29) | v106(constB29)),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31092,plain,
% 218.88/141.42 ((~(v105(constB29) | v106(constB29))) | v106(constB29)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31091, 31090])).
% 218.88/141.42 tff(31093,plain,
% 218.88/141.42 (~(v105(constB29) | v106(constB29))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31092, 31083])).
% 218.88/141.42 tff(31094,plain,
% 218.88/141.42 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB29) <=> (v105(constB29) | v106(constB29)))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31095,plain,
% 218.88/141.42 (v102(constB29) <=> (v105(constB29) | v106(constB29))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31094, 115])).
% 218.88/141.42 tff(31096,plain,
% 218.88/141.42 ((~(v102(constB29) <=> (v105(constB29) | v106(constB29)))) | (~v102(constB29)) | (v105(constB29) | v106(constB29))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31097,plain,
% 218.88/141.42 ((~v102(constB29)) | (v105(constB29) | v106(constB29))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31096, 31095])).
% 218.88/141.42 tff(31098,plain,
% 218.88/141.42 (~v102(constB29)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31097, 31093])).
% 218.88/141.42 tff(31099,plain,
% 218.88/141.42 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31100,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29')).
% 218.88/141.42 tff(31101,plain,
% 218.88/141.42 (nextState(constB29, constB30)),
% 218.88/141.42 inference(modus_ponens,[status(thm)],[31100, 31099])).
% 218.88/141.42 tff(31102,plain,
% 218.88/141.42 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29)))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31103,plain,
% 218.88/141.42 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29)))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31104,plain,
% 218.88/141.42 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29))),
% 218.88/141.42 inference(modus_ponens,[status(thm)],[31103, 31102])).
% 218.88/141.42 tff(31105,plain,
% 218.88/141.42 (v104(constB30) <=> v102(constB29)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31104, 31101, 101])).
% 218.88/141.42 tff(31106,plain,
% 218.88/141.42 ((~(v104(constB30) <=> v102(constB29))) | (~v104(constB30)) | v102(constB29)),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31107,plain,
% 218.88/141.42 ((~v104(constB30)) | v102(constB29)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31106, 31105])).
% 218.88/141.42 tff(31108,plain,
% 218.88/141.42 (~v104(constB30)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31107, 31098])).
% 218.88/141.42 tff(31109,plain,
% 218.88/141.42 (((~v95(constB30)) | (~v104(constB30))) | v104(constB30)),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31110,plain,
% 218.88/141.42 ((~v95(constB30)) | (~v104(constB30))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31109, 31108])).
% 218.88/141.42 tff(31111,plain,
% 218.88/141.42 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30))))))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31112,plain,
% 218.88/141.42 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30))))))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31113,plain,
% 218.88/141.42 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30)))))),
% 218.88/141.42 inference(modus_ponens,[status(thm)],[31112, 31111])).
% 218.88/141.42 tff(31114,plain,
% 218.88/141.42 (v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30))))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31113, 31101, 14])).
% 218.88/141.42 tff(31115,plain,
% 218.88/141.42 ((~(v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30)))))) | (~v94(constB30)) | (~((~v95(constB30)) | (~v104(constB30))))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31116,plain,
% 218.88/141.42 ((~v94(constB30)) | (~((~v95(constB30)) | (~v104(constB30))))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31115, 31114])).
% 218.88/141.42 tff(31117,plain,
% 218.88/141.42 (~v94(constB30)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31116, 31110])).
% 218.88/141.42 tff(31118,plain,
% 218.88/141.42 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB30) | (~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB30) | (~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B))))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31119,plain,
% 218.88/141.42 ((v94(constB30) | (~nextState(constB29, constB30)) | ![B: $int] : ((v84(constB30, B) <=> v84(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB30) | (~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B))))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31120,plain,
% 218.88/141.42 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB30) | (~nextState(constB29, constB30)) | ![B: $int] : ((v84(constB30, B) <=> v84(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB30) | (~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[31119])).
% 218.88/141.42 tff(31121,plain,
% 218.88/141.42 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB30) | (~nextState(constB29, constB30)) | ![B: $int] : ((v84(constB30, B) <=> v84(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB30) | (~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B))))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31120, 31118])).
% 218.88/141.42 tff(31122,plain,
% 218.88/141.42 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB30) | (~nextState(constB29, constB30)) | ![B: $int] : ((v84(constB30, B) <=> v84(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31123,plain,
% 218.88/141.42 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB30) | (~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))),
% 218.88/141.42 inference(modus_ponens,[status(thm)],[31122, 31121])).
% 218.88/141.42 tff(31124,plain,
% 218.88/141.42 (v94(constB30) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31123, 31101, 235])).
% 218.88/141.42 tff(31125,plain,
% 218.88/141.42 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31124, 31117])).
% 218.88/141.42 tff(31126,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 1) <=> v84(constB29, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 1) <=> v84(constB29, 1)))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31127,plain,
% 218.88/141.42 (($false | $false | (v84(constB30, 1) <=> v84(constB29, 1))) <=> (v84(constB30, 1) <=> v84(constB29, 1))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31128,plain,
% 218.88/141.42 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB30, 1) <=> v84(constB29, 1))) <=> ($false | $false | (v84(constB30, 1) <=> v84(constB29, 1)))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[402, 401])).
% 218.88/141.42 tff(31129,plain,
% 218.88/141.42 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB30, 1) <=> v84(constB29, 1))) <=> (v84(constB30, 1) <=> v84(constB29, 1))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31128, 31127])).
% 218.88/141.42 tff(31130,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB30, 1) <=> v84(constB29, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 1) <=> v84(constB29, 1)))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[31129])).
% 218.88/141.42 tff(31131,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB30, 1) <=> v84(constB29, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 1) <=> v84(constB29, 1)))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31130, 31126])).
% 218.88/141.42 tff(31132,plain,
% 218.88/141.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB30, 1) <=> v84(constB29, 1)))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31133,plain,
% 218.88/141.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 1) <=> v84(constB29, 1))),
% 218.88/141.42 inference(modus_ponens,[status(thm)],[31132, 31131])).
% 218.88/141.42 tff(31134,plain,
% 218.88/141.42 (v84(constB30, 1) <=> v84(constB29, 1)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31133, 31125])).
% 218.88/141.42 tff(31135,plain,
% 218.88/141.42 ((~(v84(constB30, 1) <=> v84(constB29, 1))) | v84(constB30, 1) | (~v84(constB29, 1))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31136,plain,
% 218.88/141.42 ((~(v84(constB30, 1) <=> v84(constB29, 1))) | v84(constB30, 1)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31135, 30863])).
% 218.88/141.42 tff(31137,plain,
% 218.88/141.42 (v84(constB30, 1)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31136, 31134])).
% 218.88/141.42 tff(31138,plain,
% 218.88/141.42 ((~(v84(constB31, 1) <=> v84(constB30, 1))) | v84(constB31, 1) | (~v84(constB30, 1))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31139,plain,
% 218.88/141.42 ((~(v84(constB31, 1) <=> v84(constB30, 1))) | v84(constB31, 1)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31138, 31137])).
% 218.88/141.42 tff(31140,plain,
% 218.88/141.42 (v84(constB31, 1)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31139, 29634])).
% 218.88/141.42 tff(31141,plain,
% 218.88/141.42 ((v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))) | (~v84(constB31, 1))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31142,plain,
% 218.88/141.42 (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31141, 31140])).
% 218.88/141.42 tff(31143,plain,
% 218.88/141.42 ((~(v114(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))))) | (~v114(constB31)) | (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31144,plain,
% 218.88/141.42 ((~(v114(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))))) | (~v114(constB31))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31143, 31142])).
% 218.88/141.42 tff(31145,plain,
% 218.88/141.42 (~v114(constB31)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31144, 29591])).
% 218.88/141.42 tff(31146,plain,
% 218.88/141.42 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31147,plain,
% 218.88/141.42 (v113(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31146, 597])).
% 218.88/141.42 tff(31148,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 0) <=> v84(constB30, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 0) <=> v84(constB30, 0)))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31149,plain,
% 218.88/141.42 (($false | $false | (v84(constB31, 0) <=> v84(constB30, 0))) <=> (v84(constB31, 0) <=> v84(constB30, 0))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31150,plain,
% 218.88/141.42 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB31, 0) <=> v84(constB30, 0))) <=> ($false | $false | (v84(constB31, 0) <=> v84(constB30, 0)))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[250, 249])).
% 218.88/141.42 tff(31151,plain,
% 218.88/141.42 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB31, 0) <=> v84(constB30, 0))) <=> (v84(constB31, 0) <=> v84(constB30, 0))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31150, 31149])).
% 218.88/141.42 tff(31152,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB31, 0) <=> v84(constB30, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 0) <=> v84(constB30, 0)))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[31151])).
% 218.88/141.42 tff(31153,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB31, 0) <=> v84(constB30, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 0) <=> v84(constB30, 0)))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31152, 31148])).
% 218.88/141.42 tff(31154,plain,
% 218.88/141.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB31, 0) <=> v84(constB30, 0)))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31155,plain,
% 218.88/141.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 0) <=> v84(constB30, 0))),
% 218.88/141.42 inference(modus_ponens,[status(thm)],[31154, 31153])).
% 218.88/141.42 tff(31156,plain,
% 218.88/141.42 (v84(constB31, 0) <=> v84(constB30, 0)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31155, 29625])).
% 218.88/141.42 tff(31157,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 0) <=> v84(constB29, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 0) <=> v84(constB29, 0)))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31158,plain,
% 218.88/141.42 (($false | $false | (v84(constB30, 0) <=> v84(constB29, 0))) <=> (v84(constB30, 0) <=> v84(constB29, 0))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31159,plain,
% 218.88/141.42 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB30, 0) <=> v84(constB29, 0))) <=> ($false | $false | (v84(constB30, 0) <=> v84(constB29, 0)))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[250, 249])).
% 218.88/141.42 tff(31160,plain,
% 218.88/141.42 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB30, 0) <=> v84(constB29, 0))) <=> (v84(constB30, 0) <=> v84(constB29, 0))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31159, 31158])).
% 218.88/141.42 tff(31161,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB30, 0) <=> v84(constB29, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 0) <=> v84(constB29, 0)))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[31160])).
% 218.88/141.42 tff(31162,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB30, 0) <=> v84(constB29, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 0) <=> v84(constB29, 0)))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31161, 31157])).
% 218.88/141.42 tff(31163,plain,
% 218.88/141.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB30, 0) <=> v84(constB29, 0)))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31164,plain,
% 218.88/141.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 0) <=> v84(constB29, 0))),
% 218.88/141.42 inference(modus_ponens,[status(thm)],[31163, 31162])).
% 218.88/141.42 tff(31165,plain,
% 218.88/141.42 (v84(constB30, 0) <=> v84(constB29, 0)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31164, 31125])).
% 218.88/141.42 tff(31166,plain,
% 218.88/141.42 ((~(v84(constB30, 0) <=> v84(constB29, 0))) | v84(constB30, 0) | (~v84(constB29, 0))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31167,plain,
% 218.88/141.42 ((~(v84(constB30, 0) <=> v84(constB29, 0))) | v84(constB30, 0)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31166, 30934])).
% 218.88/141.42 tff(31168,plain,
% 218.88/141.42 (v84(constB30, 0)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31167, 31165])).
% 218.88/141.42 tff(31169,plain,
% 218.88/141.42 ((~(v84(constB31, 0) <=> v84(constB30, 0))) | v84(constB31, 0) | (~v84(constB30, 0))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31170,plain,
% 218.88/141.42 ((~(v84(constB31, 0) <=> v84(constB30, 0))) | v84(constB31, 0)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31169, 31168])).
% 218.88/141.42 tff(31171,plain,
% 218.88/141.42 (v84(constB31, 0)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31170, 31156])).
% 218.88/141.42 tff(31172,plain,
% 218.88/141.42 ((v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)) | (~v84(constB31, 0))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31173,plain,
% 218.88/141.42 (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31172, 31171])).
% 218.88/141.42 tff(31174,plain,
% 218.88/141.42 ((~(v113(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))))) | (~v113(constB31)) | (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31175,plain,
% 218.88/141.42 ((~(v113(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))))) | (~v113(constB31))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31174, 31173])).
% 218.88/141.42 tff(31176,plain,
% 218.88/141.42 (~v113(constB31)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31175, 31147])).
% 218.88/141.42 tff(31177,plain,
% 218.88/141.42 ((~(v113(constB31) | v114(constB31))) | v113(constB31) | v114(constB31)),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31178,plain,
% 218.88/141.42 (~(v113(constB31) | v114(constB31))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31177, 31176, 31145])).
% 218.88/141.42 tff(31179,plain,
% 218.88/141.42 ((~(v112(constB31) <=> (v113(constB31) | v114(constB31)))) | (~v112(constB31)) | (v113(constB31) | v114(constB31))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31180,plain,
% 218.88/141.42 ((~(v112(constB31) <=> (v113(constB31) | v114(constB31)))) | (~v112(constB31))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31179, 31178])).
% 218.88/141.42 tff(31181,plain,
% 218.88/141.42 (~v112(constB31)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31180, 29589])).
% 218.88/141.42 tff(31182,plain,
% 218.88/141.42 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)))))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31183,plain,
% 218.88/141.42 ((v115(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 2) | (~v84(constB31, 1))))) <=> (v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31184,plain,
% 218.88/141.42 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 2) | (~v84(constB31, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)))))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[31183])).
% 218.88/141.42 tff(31185,plain,
% 218.88/141.42 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 2) | (~v84(constB31, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)))))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31184, 31182])).
% 218.88/141.42 tff(31186,plain,
% 218.88/141.42 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 2) | (~v84(constB31, 1)))))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31187,plain,
% 218.88/141.42 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))))),
% 218.88/141.42 inference(modus_ponens,[status(thm)],[31186, 31185])).
% 218.88/141.42 tff(31188,plain,
% 218.88/141.42 (v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31187, 622])).
% 218.88/141.42 tff(31189,plain,
% 218.88/141.42 ((v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)) | (~v84(constB31, 0))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31190,plain,
% 218.88/141.42 (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31189, 31171])).
% 218.88/141.42 tff(31191,plain,
% 218.88/141.42 ((~(v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))))) | (~v115(constB31)) | (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31192,plain,
% 218.88/141.42 ((~(v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))))) | (~v115(constB31))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31191, 31190])).
% 218.88/141.42 tff(31193,plain,
% 218.88/141.42 (~v115(constB31)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31192, 31188])).
% 218.88/141.42 tff(31194,plain,
% 218.88/141.42 ((~(v112(constB31) | v115(constB31))) | v112(constB31) | v115(constB31)),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31195,plain,
% 218.88/141.42 ((~(v112(constB31) | v115(constB31))) | v112(constB31)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31194, 31193])).
% 218.88/141.42 tff(31196,plain,
% 218.88/141.42 (~(v112(constB31) | v115(constB31))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31195, 31181])).
% 218.88/141.42 tff(31197,plain,
% 218.88/141.42 ((~(v111(constB31) <=> (v112(constB31) | v115(constB31)))) | (~v111(constB31)) | (v112(constB31) | v115(constB31))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31198,plain,
% 218.88/141.42 (~v111(constB31)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31197, 31196, 29587])).
% 218.88/141.42 tff(31199,plain,
% 218.88/141.42 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))))))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31200,plain,
% 218.88/141.42 ((v116(constB31) <=> (~(v84(constB31, 2) | (~v84(constB31, 1)) | (~v84(constB31, 0))))) <=> (v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31201,plain,
% 218.88/141.42 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB31) <=> (~(v84(constB31, 2) | (~v84(constB31, 1)) | (~v84(constB31, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))))))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[31200])).
% 218.88/141.42 tff(31202,plain,
% 218.88/141.42 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB31) <=> (~(v84(constB31, 2) | (~v84(constB31, 1)) | (~v84(constB31, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))))))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31201, 31199])).
% 218.88/141.42 tff(31203,plain,
% 218.88/141.42 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB31) <=> (~(v84(constB31, 2) | (~v84(constB31, 1)) | (~v84(constB31, 0)))))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31204,plain,
% 218.88/141.42 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))))),
% 218.88/141.42 inference(modus_ponens,[status(thm)],[31203, 31202])).
% 218.88/141.42 tff(31205,plain,
% 218.88/141.42 (v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31204, 521])).
% 218.88/141.42 tff(31206,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 2) <=> v84(constB30, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 2) <=> v84(constB30, 2)))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31207,plain,
% 218.88/141.42 (($false | $false | (v84(constB31, 2) <=> v84(constB30, 2))) <=> (v84(constB31, 2) <=> v84(constB30, 2))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31208,plain,
% 218.88/141.42 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB31, 2) <=> v84(constB30, 2))) <=> ($false | $false | (v84(constB31, 2) <=> v84(constB30, 2)))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[534, 533])).
% 218.88/141.42 tff(31209,plain,
% 218.88/141.42 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB31, 2) <=> v84(constB30, 2))) <=> (v84(constB31, 2) <=> v84(constB30, 2))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31208, 31207])).
% 218.88/141.42 tff(31210,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB31, 2) <=> v84(constB30, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 2) <=> v84(constB30, 2)))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[31209])).
% 218.88/141.42 tff(31211,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB31, 2) <=> v84(constB30, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 2) <=> v84(constB30, 2)))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31210, 31206])).
% 218.88/141.42 tff(31212,plain,
% 218.88/141.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB31, 2) <=> v84(constB30, 2)))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31213,plain,
% 218.88/141.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB31, B) <=> v84(constB30, B)))) | (v84(constB31, 2) <=> v84(constB30, 2))),
% 218.88/141.42 inference(modus_ponens,[status(thm)],[31212, 31211])).
% 218.88/141.42 tff(31214,plain,
% 218.88/141.42 (v84(constB31, 2) <=> v84(constB30, 2)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31213, 29625])).
% 218.88/141.42 tff(31215,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 2) <=> v84(constB29, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 2) <=> v84(constB29, 2)))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31216,plain,
% 218.88/141.42 (($false | $false | (v84(constB30, 2) <=> v84(constB29, 2))) <=> (v84(constB30, 2) <=> v84(constB29, 2))),
% 218.88/141.42 inference(rewrite,[status(thm)],[])).
% 218.88/141.42 tff(31217,plain,
% 218.88/141.42 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB30, 2) <=> v84(constB29, 2))) <=> ($false | $false | (v84(constB30, 2) <=> v84(constB29, 2)))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[534, 533])).
% 218.88/141.42 tff(31218,plain,
% 218.88/141.42 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB30, 2) <=> v84(constB29, 2))) <=> (v84(constB30, 2) <=> v84(constB29, 2))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31217, 31216])).
% 218.88/141.42 tff(31219,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB30, 2) <=> v84(constB29, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 2) <=> v84(constB29, 2)))),
% 218.88/141.42 inference(monotonicity,[status(thm)],[31218])).
% 218.88/141.42 tff(31220,plain,
% 218.88/141.42 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB30, 2) <=> v84(constB29, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 2) <=> v84(constB29, 2)))),
% 218.88/141.42 inference(transitivity,[status(thm)],[31219, 31215])).
% 218.88/141.42 tff(31221,plain,
% 218.88/141.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB30, 2) <=> v84(constB29, 2)))),
% 218.88/141.42 inference(quant_inst,[status(thm)],[])).
% 218.88/141.42 tff(31222,plain,
% 218.88/141.42 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (v84(constB30, 2) <=> v84(constB29, 2))),
% 218.88/141.42 inference(modus_ponens,[status(thm)],[31221, 31220])).
% 218.88/141.42 tff(31223,plain,
% 218.88/141.42 (v84(constB30, 2) <=> v84(constB29, 2)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31222, 31125])).
% 218.88/141.42 tff(31224,plain,
% 218.88/141.42 ((~(v84(constB30, 2) <=> v84(constB29, 2))) | v84(constB30, 2) | (~v84(constB29, 2))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31225,plain,
% 218.88/141.42 ((~(v84(constB30, 2) <=> v84(constB29, 2))) | v84(constB30, 2)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31224, 30894])).
% 218.88/141.42 tff(31226,plain,
% 218.88/141.42 (v84(constB30, 2)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31225, 31223])).
% 218.88/141.42 tff(31227,plain,
% 218.88/141.42 ((~(v84(constB31, 2) <=> v84(constB30, 2))) | v84(constB31, 2) | (~v84(constB30, 2))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31228,plain,
% 218.88/141.42 ((~(v84(constB31, 2) <=> v84(constB30, 2))) | v84(constB31, 2)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31227, 31226])).
% 218.88/141.42 tff(31229,plain,
% 218.88/141.42 (v84(constB31, 2)),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31228, 31214])).
% 218.88/141.42 tff(31230,plain,
% 218.88/141.42 (((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))) | (~v84(constB31, 2))),
% 218.88/141.42 inference(tautology,[status(thm)],[])).
% 218.88/141.42 tff(31231,plain,
% 218.88/141.42 ((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))),
% 218.88/141.42 inference(unit_resolution,[status(thm)],[31230, 31229])).
% 218.88/141.42 tff(31232,plain,
% 218.88/141.42 ((~(v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))))) | (~v116(constB31)) | (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31233,plain,
% 218.88/141.43 ((~(v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))))) | (~v116(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31232, 31231])).
% 218.88/141.43 tff(31234,plain,
% 218.88/141.43 (~v116(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31233, 31205])).
% 218.88/141.43 tff(31235,plain,
% 218.88/141.43 ((~(v111(constB31) | v116(constB31))) | v111(constB31) | v116(constB31)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31236,plain,
% 218.88/141.43 ((~(v111(constB31) | v116(constB31))) | v111(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31235, 31234])).
% 218.88/141.43 tff(31237,plain,
% 218.88/141.43 (~(v111(constB31) | v116(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31236, 31198])).
% 218.88/141.43 tff(31238,plain,
% 218.88/141.43 ((~(v110(constB31) <=> (v111(constB31) | v116(constB31)))) | (~v110(constB31)) | (v111(constB31) | v116(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31239,plain,
% 218.88/141.43 (~v110(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31238, 31237, 29585])).
% 218.88/141.43 tff(31240,plain,
% 218.88/141.43 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31241,plain,
% 218.88/141.43 (v117(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31240, 656])).
% 218.88/141.43 tff(31242,plain,
% 218.88/141.43 ((v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))) | (~v84(constB31, 0))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31243,plain,
% 218.88/141.43 (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31242, 31171])).
% 218.88/141.43 tff(31244,plain,
% 218.88/141.43 ((~(v117(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))))) | (~v117(constB31)) | (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31245,plain,
% 218.88/141.43 ((~(v117(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))))) | (~v117(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31244, 31243])).
% 218.88/141.43 tff(31246,plain,
% 218.88/141.43 (~v117(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31245, 31241])).
% 218.88/141.43 tff(31247,plain,
% 218.88/141.43 ((~(v110(constB31) | v117(constB31))) | v110(constB31) | v117(constB31)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31248,plain,
% 218.88/141.43 ((~(v110(constB31) | v117(constB31))) | v110(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31247, 31246])).
% 218.88/141.43 tff(31249,plain,
% 218.88/141.43 (~(v110(constB31) | v117(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31248, 31239])).
% 218.88/141.43 tff(31250,plain,
% 218.88/141.43 ((~(v109(constB31) <=> (v110(constB31) | v117(constB31)))) | (~v109(constB31)) | (v110(constB31) | v117(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31251,plain,
% 218.88/141.43 (~v109(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31250, 31249, 29583])).
% 218.88/141.43 tff(31252,plain,
% 218.88/141.43 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))))))),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31253,plain,
% 218.88/141.43 ((v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 0)) | (~v84(constB31, 2))))) <=> (v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))))),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31254,plain,
% 218.88/141.43 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 0)) | (~v84(constB31, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))))))),
% 218.88/141.43 inference(monotonicity,[status(thm)],[31253])).
% 218.88/141.43 tff(31255,plain,
% 218.88/141.43 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 0)) | (~v84(constB31, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))))))),
% 218.88/141.43 inference(transitivity,[status(thm)],[31254, 31252])).
% 218.88/141.43 tff(31256,plain,
% 218.88/141.43 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 0)) | (~v84(constB31, 2)))))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31257,plain,
% 218.88/141.43 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))))),
% 218.88/141.43 inference(modus_ponens,[status(thm)],[31256, 31255])).
% 218.88/141.43 tff(31258,plain,
% 218.88/141.43 (v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31257, 394])).
% 218.88/141.43 tff(31259,plain,
% 218.88/141.43 ((v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))) | (~v84(constB31, 1))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31260,plain,
% 218.88/141.43 (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31259, 31140])).
% 218.88/141.43 tff(31261,plain,
% 218.88/141.43 ((~(v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))))) | (~v118(constB31)) | (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31262,plain,
% 218.88/141.43 ((~(v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))))) | (~v118(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31261, 31260])).
% 218.88/141.43 tff(31263,plain,
% 218.88/141.43 (~v118(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31262, 31258])).
% 218.88/141.43 tff(31264,plain,
% 218.88/141.43 ((~(v109(constB31) | v118(constB31))) | v109(constB31) | v118(constB31)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31265,plain,
% 218.88/141.43 ((~(v109(constB31) | v118(constB31))) | v109(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31264, 31263])).
% 218.88/141.43 tff(31266,plain,
% 218.88/141.43 (~(v109(constB31) | v118(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31265, 31251])).
% 218.88/141.43 tff(31267,plain,
% 218.88/141.43 ((~(v108(constB31) <=> (v109(constB31) | v118(constB31)))) | (~v108(constB31)) | (v109(constB31) | v118(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31268,plain,
% 218.88/141.43 (~v108(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31267, 31266, 29581])).
% 218.88/141.43 tff(31269,plain,
% 218.88/141.43 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31270,plain,
% 218.88/141.43 (v119(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2))))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31269, 318])).
% 218.88/141.43 tff(31271,plain,
% 218.88/141.43 ((v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2))) | (~v84(constB31, 0))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31272,plain,
% 218.88/141.43 (v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31271, 31171])).
% 218.88/141.43 tff(31273,plain,
% 218.88/141.43 ((~(v119(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))))) | (~v119(constB31)) | (~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2))))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31274,plain,
% 218.88/141.43 ((~(v119(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))))) | (~v119(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31273, 31272])).
% 218.88/141.43 tff(31275,plain,
% 218.88/141.43 (~v119(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31274, 31270])).
% 218.88/141.43 tff(31276,plain,
% 218.88/141.43 ((~(v108(constB31) | v119(constB31))) | v108(constB31) | v119(constB31)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31277,plain,
% 218.88/141.43 ((~(v108(constB31) | v119(constB31))) | v108(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31276, 31275])).
% 218.88/141.43 tff(31278,plain,
% 218.88/141.43 (~(v108(constB31) | v119(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31277, 31268])).
% 218.88/141.43 tff(31279,plain,
% 218.88/141.43 ((~(v107(constB31) <=> (v108(constB31) | v119(constB31)))) | (~v107(constB31)) | (v108(constB31) | v119(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31280,plain,
% 218.88/141.43 (~v107(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31279, 31278, 29579])).
% 218.88/141.43 tff(31281,plain,
% 218.88/141.43 (((~v107(constB31)) | (~v120(constB31))) | v107(constB31)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31282,plain,
% 218.88/141.43 ((~v107(constB31)) | (~v120(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31281, 31280])).
% 218.88/141.43 tff(31283,plain,
% 218.88/141.43 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB31) <=> (~((~v107(constB31)) | (~v120(constB31)))))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31284,plain,
% 218.88/141.43 (v106(constB31) <=> (~((~v107(constB31)) | (~v120(constB31))))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31283, 132])).
% 218.88/141.43 tff(31285,plain,
% 218.88/141.43 ((~(v106(constB31) <=> (~((~v107(constB31)) | (~v120(constB31)))))) | (~v106(constB31)) | (~((~v107(constB31)) | (~v120(constB31))))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31286,plain,
% 218.88/141.43 ((~v106(constB31)) | (~((~v107(constB31)) | (~v120(constB31))))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31285, 31284])).
% 218.88/141.43 tff(31287,plain,
% 218.88/141.43 (~v106(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31286, 31282])).
% 218.88/141.43 tff(31288,plain,
% 218.88/141.43 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB31) <=> v26(constB31))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31289,plain,
% 218.88/141.43 (v105(constB31) <=> v26(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31288, 156])).
% 218.88/141.43 tff(31290,plain,
% 218.88/141.43 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31291,plain,
% 218.88/141.43 (~v26(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31290, 168])).
% 218.88/141.43 tff(31292,plain,
% 218.88/141.43 ((~(v105(constB31) <=> v26(constB31))) | (~v105(constB31)) | v26(constB31)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31293,plain,
% 218.88/141.43 ((~(v105(constB31) <=> v26(constB31))) | (~v105(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31292, 31291])).
% 218.88/141.43 tff(31294,plain,
% 218.88/141.43 (~v105(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31293, 31289])).
% 218.88/141.43 tff(31295,plain,
% 218.88/141.43 ((~(v105(constB31) | v106(constB31))) | v105(constB31) | v106(constB31)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31296,plain,
% 218.88/141.43 ((~(v105(constB31) | v106(constB31))) | v106(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31295, 31294])).
% 218.88/141.43 tff(31297,plain,
% 218.88/141.43 (~(v105(constB31) | v106(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31296, 31287])).
% 218.88/141.43 tff(31298,plain,
% 218.88/141.43 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB31) <=> (v105(constB31) | v106(constB31)))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31299,plain,
% 218.88/141.43 (v102(constB31) <=> (v105(constB31) | v106(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31298, 115])).
% 218.88/141.43 tff(31300,plain,
% 218.88/141.43 ((~(v102(constB31) <=> (v105(constB31) | v106(constB31)))) | (~v102(constB31)) | (v105(constB31) | v106(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31301,plain,
% 218.88/141.43 ((~v102(constB31)) | (v105(constB31) | v106(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31300, 31299])).
% 218.88/141.43 tff(31302,plain,
% 218.88/141.43 (~v102(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31301, 31297])).
% 218.88/141.43 tff(31303,plain,
% 218.88/141.43 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31304,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31')).
% 218.88/141.43 tff(31305,plain,
% 218.88/141.43 (nextState(constB31, constB32)),
% 218.88/141.43 inference(modus_ponens,[status(thm)],[31304, 31303])).
% 218.88/141.43 tff(31306,plain,
% 218.88/141.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31)))),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31307,plain,
% 218.88/141.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31)))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31308,plain,
% 218.88/141.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31))),
% 218.88/141.43 inference(modus_ponens,[status(thm)],[31307, 31306])).
% 218.88/141.43 tff(31309,plain,
% 218.88/141.43 (v104(constB32) <=> v102(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31308, 31305, 101])).
% 218.88/141.43 tff(31310,plain,
% 218.88/141.43 ((~(v104(constB32) <=> v102(constB31))) | (~v104(constB32)) | v102(constB31)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31311,plain,
% 218.88/141.43 ((~v104(constB32)) | v102(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31310, 31309])).
% 218.88/141.43 tff(31312,plain,
% 218.88/141.43 (~v104(constB32)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31311, 31302])).
% 218.88/141.43 tff(31313,assumption,(~v84(constB32, 0)), introduced(assumption)).
% 218.88/141.43 tff(31314,assumption,(~v104(constB32)), introduced(assumption)).
% 218.88/141.43 tff(31315,plain,
% 218.88/141.43 ((~(v104(constB32) <=> v102(constB31))) | v104(constB32) | (~v102(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31316,plain,
% 218.88/141.43 (v104(constB32) | (~v102(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31315, 31309])).
% 218.88/141.43 tff(31317,plain,
% 218.88/141.43 (~v102(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31316, 31314])).
% 218.88/141.43 tff(31318,plain,
% 218.88/141.43 ((~(v102(constB31) <=> (v105(constB31) | v106(constB31)))) | v102(constB31) | (~(v105(constB31) | v106(constB31)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31319,plain,
% 218.88/141.43 (v102(constB31) | (~(v105(constB31) | v106(constB31)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31318, 31299])).
% 218.88/141.43 tff(31320,plain,
% 218.88/141.43 (~(v105(constB31) | v106(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31319, 31317])).
% 218.88/141.43 tff(31321,plain,
% 218.88/141.43 ((v105(constB31) | v106(constB31)) | (~v106(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31322,plain,
% 218.88/141.43 (~v106(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31321, 31320])).
% 218.88/141.43 tff(31323,plain,
% 218.88/141.43 ((~(v106(constB31) <=> (~((~v107(constB31)) | (~v120(constB31)))))) | v106(constB31) | ((~v107(constB31)) | (~v120(constB31)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31324,plain,
% 218.88/141.43 (v106(constB31) | ((~v107(constB31)) | (~v120(constB31)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31323, 31284])).
% 218.88/141.43 tff(31325,plain,
% 218.88/141.43 ((~v107(constB31)) | (~v120(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31324, 31322])).
% 218.88/141.43 tff(31326,plain,
% 218.88/141.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB31)) <=> v105(constB31))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31327,plain,
% 218.88/141.43 ((~v120(constB31)) <=> v105(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31326, 144])).
% 218.88/141.43 tff(31328,plain,
% 218.88/141.43 ((~((~v120(constB31)) <=> v105(constB31))) | v120(constB31) | v105(constB31)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31329,plain,
% 218.88/141.43 ((~((~v120(constB31)) <=> v105(constB31))) | v120(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31328, 31294])).
% 218.88/141.43 tff(31330,plain,
% 218.88/141.43 (v120(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31329, 31327])).
% 218.88/141.43 tff(31331,plain,
% 218.88/141.43 ((~((~v107(constB31)) | (~v120(constB31)))) | (~v107(constB31)) | (~v120(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31332,plain,
% 218.88/141.43 ((~((~v107(constB31)) | (~v120(constB31)))) | (~v107(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31331, 31330])).
% 218.88/141.43 tff(31333,plain,
% 218.88/141.43 (~v107(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31332, 31325])).
% 218.88/141.43 tff(31334,plain,
% 218.88/141.43 ((~(v107(constB31) <=> (v108(constB31) | v119(constB31)))) | v107(constB31) | (~(v108(constB31) | v119(constB31)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31335,plain,
% 218.88/141.43 ((~(v107(constB31) <=> (v108(constB31) | v119(constB31)))) | (~(v108(constB31) | v119(constB31)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31334, 31333])).
% 218.88/141.43 tff(31336,plain,
% 218.88/141.43 (~(v108(constB31) | v119(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31335, 29579])).
% 218.88/141.43 tff(31337,plain,
% 218.88/141.43 ((v108(constB31) | v119(constB31)) | (~v119(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31338,plain,
% 218.88/141.43 (~v119(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31337, 31336])).
% 218.88/141.43 tff(31339,plain,
% 218.88/141.43 ((~(v119(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))))) | v119(constB31) | (v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31340,plain,
% 218.88/141.43 ((~(v119(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))))) | (v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31339, 31338])).
% 218.88/141.43 tff(31341,plain,
% 218.88/141.43 (v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31340, 31270])).
% 218.88/141.43 tff(31342,plain,
% 218.88/141.43 ((v108(constB31) | v119(constB31)) | (~v108(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31343,plain,
% 218.88/141.43 (~v108(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31342, 31336])).
% 218.88/141.43 tff(31344,plain,
% 218.88/141.43 ((~(v108(constB31) <=> (v109(constB31) | v118(constB31)))) | v108(constB31) | (~(v109(constB31) | v118(constB31)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31345,plain,
% 218.88/141.43 ((~(v108(constB31) <=> (v109(constB31) | v118(constB31)))) | (~(v109(constB31) | v118(constB31)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31344, 31343])).
% 218.88/141.43 tff(31346,plain,
% 218.88/141.43 (~(v109(constB31) | v118(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31345, 29581])).
% 218.88/141.43 tff(31347,plain,
% 218.88/141.43 ((v109(constB31) | v118(constB31)) | (~v109(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31348,plain,
% 218.88/141.43 (~v109(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31347, 31346])).
% 218.88/141.43 tff(31349,plain,
% 218.88/141.43 ((~(v109(constB31) <=> (v110(constB31) | v117(constB31)))) | v109(constB31) | (~(v110(constB31) | v117(constB31)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31350,plain,
% 218.88/141.43 ((~(v109(constB31) <=> (v110(constB31) | v117(constB31)))) | (~(v110(constB31) | v117(constB31)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31349, 31348])).
% 218.88/141.43 tff(31351,plain,
% 218.88/141.43 (~(v110(constB31) | v117(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31350, 29583])).
% 218.88/141.43 tff(31352,plain,
% 218.88/141.43 ((v110(constB31) | v117(constB31)) | (~v110(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31353,plain,
% 218.88/141.43 (~v110(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31352, 31351])).
% 218.88/141.43 tff(31354,plain,
% 218.88/141.43 ((~(v110(constB31) <=> (v111(constB31) | v116(constB31)))) | v110(constB31) | (~(v111(constB31) | v116(constB31)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31355,plain,
% 218.88/141.43 ((~(v110(constB31) <=> (v111(constB31) | v116(constB31)))) | (~(v111(constB31) | v116(constB31)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31354, 31353])).
% 218.88/141.43 tff(31356,plain,
% 218.88/141.43 (~(v111(constB31) | v116(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31355, 29585])).
% 218.88/141.43 tff(31357,plain,
% 218.88/141.43 ((v111(constB31) | v116(constB31)) | (~v111(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31358,plain,
% 218.88/141.43 (~v111(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31357, 31356])).
% 218.88/141.43 tff(31359,plain,
% 218.88/141.43 ((~(v111(constB31) <=> (v112(constB31) | v115(constB31)))) | v111(constB31) | (~(v112(constB31) | v115(constB31)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31360,plain,
% 218.88/141.43 ((~(v111(constB31) <=> (v112(constB31) | v115(constB31)))) | (~(v112(constB31) | v115(constB31)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31359, 31358])).
% 218.88/141.43 tff(31361,plain,
% 218.88/141.43 (~(v112(constB31) | v115(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31360, 29587])).
% 218.88/141.43 tff(31362,plain,
% 218.88/141.43 ((v112(constB31) | v115(constB31)) | (~v115(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31363,plain,
% 218.88/141.43 (~v115(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31362, 31361])).
% 218.88/141.43 tff(31364,plain,
% 218.88/141.43 ((~(v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))))) | v115(constB31) | (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31365,plain,
% 218.88/141.43 ((~(v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))))) | (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31364, 31363])).
% 218.88/141.43 tff(31366,plain,
% 218.88/141.43 (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31365, 31188])).
% 218.88/141.43 tff(31367,plain,
% 218.88/141.43 ((v109(constB31) | v118(constB31)) | (~v118(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31368,plain,
% 218.88/141.43 (~v118(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31367, 31346])).
% 218.88/141.43 tff(31369,plain,
% 218.88/141.43 ((~(v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))))) | v118(constB31) | (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31370,plain,
% 218.88/141.43 ((~(v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))))) | (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31369, 31368])).
% 218.88/141.43 tff(31371,plain,
% 218.88/141.43 (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31370, 31258])).
% 218.88/141.43 tff(31372,plain,
% 218.88/141.43 ((v112(constB31) | v115(constB31)) | (~v112(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31373,plain,
% 218.88/141.43 (~v112(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31372, 31361])).
% 218.88/141.43 tff(31374,plain,
% 218.88/141.43 ((~(v112(constB31) <=> (v113(constB31) | v114(constB31)))) | v112(constB31) | (~(v113(constB31) | v114(constB31)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31375,plain,
% 218.88/141.43 ((~(v112(constB31) <=> (v113(constB31) | v114(constB31)))) | (~(v113(constB31) | v114(constB31)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31374, 31373])).
% 218.88/141.43 tff(31376,plain,
% 218.88/141.43 (~(v113(constB31) | v114(constB31))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31375, 29589])).
% 218.88/141.43 tff(31377,plain,
% 218.88/141.43 ((v113(constB31) | v114(constB31)) | (~v114(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31378,plain,
% 218.88/141.43 (~v114(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31377, 31376])).
% 218.88/141.43 tff(31379,plain,
% 218.88/141.43 ((~(v114(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))))) | v114(constB31) | (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31380,plain,
% 218.88/141.43 ((~(v114(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))))) | (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31379, 31378])).
% 218.88/141.43 tff(31381,plain,
% 218.88/141.43 (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31380, 29591])).
% 218.88/141.43 tff(31382,plain,
% 218.88/141.43 ((v110(constB31) | v117(constB31)) | (~v117(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31383,plain,
% 218.88/141.43 (~v117(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31382, 31351])).
% 218.88/141.43 tff(31384,plain,
% 218.88/141.43 ((~(v117(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))))) | v117(constB31) | (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31385,plain,
% 218.88/141.43 ((~(v117(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))))) | (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31384, 31383])).
% 218.88/141.43 tff(31386,plain,
% 218.88/141.43 (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31385, 31241])).
% 218.88/141.43 tff(31387,plain,
% 218.88/141.43 ((v113(constB31) | v114(constB31)) | (~v113(constB31))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31388,plain,
% 218.88/141.43 (~v113(constB31)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31387, 31376])).
% 218.88/141.43 tff(31389,plain,
% 218.88/141.43 ((~(v113(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))))) | v113(constB31) | (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31390,plain,
% 218.88/141.43 ((~(v113(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))))) | (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31389, 31388])).
% 218.88/141.43 tff(31391,plain,
% 218.88/141.43 (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31390, 31147])).
% 218.88/141.43 tff(31392,assumption,(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))), introduced(assumption)).
% 218.88/141.43 tff(31393,assumption,(~v84(constB31, 1)), introduced(assumption)).
% 218.88/141.43 tff(31394,assumption,(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))), introduced(assumption)).
% 218.88/141.43 tff(31395,assumption,(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)), introduced(assumption)).
% 218.88/141.43 tff(31396,assumption,(~v84(constB31, 2)), introduced(assumption)).
% 218.88/141.43 tff(31397,plain,
% 218.88/141.43 ((~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))) | v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31398,plain,
% 218.88/141.43 (~v84(constB31, 0)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31397, 31396, 31393, 31394])).
% 218.88/141.43 tff(31399,plain,
% 218.88/141.43 ((~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))) | v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31400,plain,
% 218.88/141.43 ($false),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31399, 31398, 31396, 31393, 31395])).
% 218.88/141.43 tff(31401,plain,(v84(constB31, 2) | v84(constB31, 1) | (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))) | (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.88/141.43 tff(31402,plain,
% 218.88/141.43 (v84(constB31, 2)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31401, 31393, 31395, 31394])).
% 218.88/141.43 tff(31403,assumption,(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))), introduced(assumption)).
% 218.88/141.43 tff(31404,plain,
% 218.88/141.43 ((~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))) | v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31405,plain,
% 218.88/141.43 (v84(constB31, 0)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31404, 31402, 31393, 31403])).
% 218.88/141.43 tff(31406,plain,
% 218.88/141.43 ((~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))) | v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31407,plain,
% 218.88/141.43 ($false),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31406, 31405, 31402, 31393, 31392])).
% 218.88/141.43 tff(31408,plain,(v84(constB31, 1) | (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))) | (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))) | (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))) | (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.88/141.43 tff(31409,plain,
% 218.88/141.43 (v84(constB31, 1)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31408, 31391, 31386, 31381, 31371])).
% 218.88/141.43 tff(31410,assumption,(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)), introduced(assumption)).
% 218.88/141.43 tff(31411,assumption,(v84(constB31, 1)), introduced(assumption)).
% 218.88/141.43 tff(31412,assumption,(~v84(constB31, 0)), introduced(assumption)).
% 218.88/141.43 tff(31413,assumption,(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2))), introduced(assumption)).
% 218.88/141.43 tff(31414,plain,
% 218.88/141.43 ((~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))) | v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31415,plain,
% 218.88/141.43 (~v84(constB31, 2)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31414, 31412, 31411, 31413])).
% 218.88/141.43 tff(31416,plain,
% 218.88/141.43 ((~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))) | v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31417,plain,
% 218.88/141.43 ($false),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31416, 31415, 31412, 31411, 31410])).
% 218.88/141.43 tff(31418,plain,(v84(constB31, 0) | (~v84(constB31, 1)) | (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))) | (~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.88/141.43 tff(31419,plain,
% 218.88/141.43 (v84(constB31, 0)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31418, 31409, 31366, 31341])).
% 218.88/141.43 tff(31420,plain,
% 218.88/141.43 ((~(v84(constB32, 0) <=> v84(constB31, 0))) | v84(constB32, 0) | (~v84(constB31, 0))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31421,plain,
% 218.88/141.43 (~(v84(constB32, 0) <=> v84(constB31, 0))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31420, 31419, 31313])).
% 218.88/141.43 tff(31422,plain,
% 218.88/141.43 (((~v95(constB32)) | (~v104(constB32))) | v104(constB32)),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31423,plain,
% 218.88/141.43 ((~v95(constB32)) | (~v104(constB32))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31422, 31314])).
% 218.88/141.43 tff(31424,plain,
% 218.88/141.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32))))))),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31425,plain,
% 218.88/141.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32))))))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31426,plain,
% 218.88/141.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32)))))),
% 218.88/141.43 inference(modus_ponens,[status(thm)],[31425, 31424])).
% 218.88/141.43 tff(31427,plain,
% 218.88/141.43 (v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32))))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31426, 31305, 14])).
% 218.88/141.43 tff(31428,plain,
% 218.88/141.43 ((~(v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32)))))) | (~v94(constB32)) | (~((~v95(constB32)) | (~v104(constB32))))),
% 218.88/141.43 inference(tautology,[status(thm)],[])).
% 218.88/141.43 tff(31429,plain,
% 218.88/141.43 ((~v94(constB32)) | (~((~v95(constB32)) | (~v104(constB32))))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31428, 31427])).
% 218.88/141.43 tff(31430,plain,
% 218.88/141.43 (~v94(constB32)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31429, 31423])).
% 218.88/141.43 tff(31431,plain,
% 218.88/141.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB32) | (~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB32) | (~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B))))),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31432,plain,
% 218.88/141.43 ((v94(constB32) | (~nextState(constB31, constB32)) | ![B: $int] : ((v84(constB32, B) <=> v84(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB32) | (~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B))))),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31433,plain,
% 218.88/141.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB32) | (~nextState(constB31, constB32)) | ![B: $int] : ((v84(constB32, B) <=> v84(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB32) | (~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))))),
% 218.88/141.43 inference(monotonicity,[status(thm)],[31432])).
% 218.88/141.43 tff(31434,plain,
% 218.88/141.43 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB32) | (~nextState(constB31, constB32)) | ![B: $int] : ((v84(constB32, B) <=> v84(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB32) | (~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B))))),
% 218.88/141.43 inference(transitivity,[status(thm)],[31433, 31431])).
% 218.88/141.43 tff(31435,plain,
% 218.88/141.43 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB32) | (~nextState(constB31, constB32)) | ![B: $int] : ((v84(constB32, B) <=> v84(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31436,plain,
% 218.88/141.43 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB32) | (~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))),
% 218.88/141.43 inference(modus_ponens,[status(thm)],[31435, 31434])).
% 218.88/141.43 tff(31437,plain,
% 218.88/141.43 (v94(constB32) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31436, 31305, 235])).
% 218.88/141.43 tff(31438,plain,
% 218.88/141.43 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31437, 31430])).
% 218.88/141.43 tff(31439,plain,
% 218.88/141.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 0) <=> v84(constB31, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 0) <=> v84(constB31, 0)))),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31440,plain,
% 218.88/141.43 (($false | $false | (v84(constB32, 0) <=> v84(constB31, 0))) <=> (v84(constB32, 0) <=> v84(constB31, 0))),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31441,plain,
% 218.88/141.43 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB32, 0) <=> v84(constB31, 0))) <=> ($false | $false | (v84(constB32, 0) <=> v84(constB31, 0)))),
% 218.88/141.43 inference(monotonicity,[status(thm)],[250, 249])).
% 218.88/141.43 tff(31442,plain,
% 218.88/141.43 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB32, 0) <=> v84(constB31, 0))) <=> (v84(constB32, 0) <=> v84(constB31, 0))),
% 218.88/141.43 inference(transitivity,[status(thm)],[31441, 31440])).
% 218.88/141.43 tff(31443,plain,
% 218.88/141.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB32, 0) <=> v84(constB31, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 0) <=> v84(constB31, 0)))),
% 218.88/141.43 inference(monotonicity,[status(thm)],[31442])).
% 218.88/141.43 tff(31444,plain,
% 218.88/141.43 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB32, 0) <=> v84(constB31, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 0) <=> v84(constB31, 0)))),
% 218.88/141.43 inference(transitivity,[status(thm)],[31443, 31439])).
% 218.88/141.43 tff(31445,plain,
% 218.88/141.43 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB32, 0) <=> v84(constB31, 0)))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31446,plain,
% 218.88/141.43 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 0) <=> v84(constB31, 0))),
% 218.88/141.43 inference(modus_ponens,[status(thm)],[31445, 31444])).
% 218.88/141.43 tff(31447,plain,
% 218.88/141.43 ($false),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31446, 31438, 31421])).
% 218.88/141.43 tff(31448,plain,(v104(constB32) | v84(constB32, 0)), inference(lemma,lemma(discharge,[]))).
% 218.88/141.43 tff(31449,plain,
% 218.88/141.43 (v84(constB32, 0)),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31448, 31312])).
% 218.88/141.43 tff(31450,assumption,(~(v84(constB33, 0) <=> v84(constB32, 0))), introduced(assumption)).
% 218.88/141.43 tff(31451,plain,
% 218.88/141.43 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31452,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32')).
% 218.88/141.43 tff(31453,plain,
% 218.88/141.43 (nextState(constB32, constB33)),
% 218.88/141.43 inference(modus_ponens,[status(thm)],[31452, 31451])).
% 218.88/141.43 tff(31454,plain,
% 218.88/141.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33))))))),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31455,plain,
% 218.88/141.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33))))))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31456,plain,
% 218.88/141.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33)))))),
% 218.88/141.43 inference(modus_ponens,[status(thm)],[31455, 31454])).
% 218.88/141.43 tff(31457,plain,
% 218.88/141.43 (v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33))))),
% 218.88/141.43 inference(unit_resolution,[status(thm)],[31456, 31453, 14])).
% 218.88/141.43 tff(31458,plain,
% 218.88/141.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31459,plain,
% 218.88/141.43 (((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33)))))) <=> ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))),
% 218.88/141.43 inference(rewrite,[status(thm)],[])).
% 218.88/141.43 tff(31460,plain,
% 218.88/141.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))))),
% 218.88/141.43 inference(monotonicity,[status(thm)],[31459])).
% 218.88/141.43 tff(31461,plain,
% 218.88/141.43 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))),
% 218.88/141.43 inference(transitivity,[status(thm)],[31460, 31458])).
% 218.88/141.43 tff(31462,plain,
% 218.88/141.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33))))))),
% 218.88/141.43 inference(quant_inst,[status(thm)],[])).
% 218.88/141.43 tff(31463,plain,
% 218.88/141.43 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))),
% 218.88/141.43 inference(modus_ponens,[status(thm)],[31462, 31461])).
% 218.88/141.43 tff(31464,plain,
% 218.88/141.43 (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31463, 31453, 37])).
% 218.88/141.44 tff(31465,plain,
% 218.88/141.44 ((~v1(constB33)) <=> (~v1(constB33))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31466,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33')).
% 218.88/141.44 tff(31467,plain,
% 218.88/141.44 (~v1(constB33)),
% 218.88/141.44 inference(modus_ponens,[status(thm)],[31466, 31465])).
% 218.88/141.44 tff(31468,plain,
% 218.88/141.44 (((~v1(constB33)) | (~v96(constB33))) | v1(constB33)),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31469,plain,
% 218.88/141.44 ((~v1(constB33)) | (~v96(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31468, 31467])).
% 218.88/141.44 tff(31470,plain,
% 218.88/141.44 ((~(v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))) | (~v95(constB33)) | (~((~v1(constB33)) | (~v96(constB33))))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31471,plain,
% 218.88/141.44 ((~(v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))) | (~v95(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31470, 31469])).
% 218.88/141.44 tff(31472,plain,
% 218.88/141.44 (~v95(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31471, 31464])).
% 218.88/141.44 tff(31473,plain,
% 218.88/141.44 (((~v95(constB33)) | (~v104(constB33))) | v95(constB33)),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31474,plain,
% 218.88/141.44 ((~v95(constB33)) | (~v104(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31473, 31472])).
% 218.88/141.44 tff(31475,plain,
% 218.88/141.44 ((~(v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33)))))) | (~v94(constB33)) | (~((~v95(constB33)) | (~v104(constB33))))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31476,plain,
% 218.88/141.44 (~v94(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31475, 31474, 31457])).
% 218.88/141.44 tff(31477,plain,
% 218.88/141.44 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB33) | (~nextState(constB32, constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB33) | (~nextState(constB32, constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B))))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31478,plain,
% 218.88/141.44 ((v94(constB33) | (~nextState(constB32, constB33)) | ![B: $int] : ((v84(constB33, B) <=> v84(constB32, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB33) | (~nextState(constB32, constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B))))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31479,plain,
% 218.88/141.44 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB33) | (~nextState(constB32, constB33)) | ![B: $int] : ((v84(constB33, B) <=> v84(constB32, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB33) | (~nextState(constB32, constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[31478])).
% 218.88/141.44 tff(31480,plain,
% 218.88/141.44 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB33) | (~nextState(constB32, constB33)) | ![B: $int] : ((v84(constB33, B) <=> v84(constB32, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB33) | (~nextState(constB32, constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B))))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31479, 31477])).
% 218.88/141.44 tff(31481,plain,
% 218.88/141.44 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB33) | (~nextState(constB32, constB33)) | ![B: $int] : ((v84(constB33, B) <=> v84(constB32, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31482,plain,
% 218.88/141.44 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB33) | (~nextState(constB32, constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))),
% 218.88/141.44 inference(modus_ponens,[status(thm)],[31481, 31480])).
% 218.88/141.44 tff(31483,plain,
% 218.88/141.44 (v94(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31482, 31453, 235])).
% 218.88/141.44 tff(31484,plain,
% 218.88/141.44 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31483, 31476])).
% 218.88/141.44 tff(31485,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 0) <=> v84(constB32, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 0) <=> v84(constB32, 0)))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31486,plain,
% 218.88/141.44 (($false | $false | (v84(constB33, 0) <=> v84(constB32, 0))) <=> (v84(constB33, 0) <=> v84(constB32, 0))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31487,plain,
% 218.88/141.44 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB33, 0) <=> v84(constB32, 0))) <=> ($false | $false | (v84(constB33, 0) <=> v84(constB32, 0)))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[250, 249])).
% 218.88/141.44 tff(31488,plain,
% 218.88/141.44 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB33, 0) <=> v84(constB32, 0))) <=> (v84(constB33, 0) <=> v84(constB32, 0))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31487, 31486])).
% 218.88/141.44 tff(31489,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB33, 0) <=> v84(constB32, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 0) <=> v84(constB32, 0)))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[31488])).
% 218.88/141.44 tff(31490,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB33, 0) <=> v84(constB32, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 0) <=> v84(constB32, 0)))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31489, 31485])).
% 218.88/141.44 tff(31491,plain,
% 218.88/141.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB33, 0) <=> v84(constB32, 0)))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31492,plain,
% 218.88/141.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 0) <=> v84(constB32, 0))),
% 218.88/141.44 inference(modus_ponens,[status(thm)],[31491, 31490])).
% 218.88/141.44 tff(31493,plain,
% 218.88/141.44 ($false),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31492, 31484, 31450])).
% 218.88/141.44 tff(31494,plain,(v84(constB33, 0) <=> v84(constB32, 0)), inference(lemma,lemma(discharge,[]))).
% 218.88/141.44 tff(31495,plain,
% 218.88/141.44 ((~(v84(constB33, 0) <=> v84(constB32, 0))) | v84(constB33, 0) | (~v84(constB32, 0))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31496,plain,
% 218.88/141.44 (v84(constB33, 0) | (~v84(constB32, 0))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31495, 31494])).
% 218.88/141.44 tff(31497,plain,
% 218.88/141.44 (v84(constB33, 0)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31496, 31449])).
% 218.88/141.44 tff(31498,plain,
% 218.88/141.44 ((v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))) | (~v84(constB33, 0))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31499,plain,
% 218.88/141.44 (v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31498, 31497])).
% 218.88/141.44 tff(31500,plain,
% 218.88/141.44 ((~(v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))))) | (~v119(constB33)) | (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31501,plain,
% 218.88/141.44 ((~(v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))))) | (~v119(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31500, 31499])).
% 218.88/141.44 tff(31502,plain,
% 218.88/141.44 (~v119(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31501, 29577])).
% 218.88/141.44 tff(31503,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 1) <=> v84(constB32, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 1) <=> v84(constB32, 1)))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31504,plain,
% 218.88/141.44 (($false | $false | (v84(constB33, 1) <=> v84(constB32, 1))) <=> (v84(constB33, 1) <=> v84(constB32, 1))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31505,plain,
% 218.88/141.44 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB33, 1) <=> v84(constB32, 1))) <=> ($false | $false | (v84(constB33, 1) <=> v84(constB32, 1)))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[402, 401])).
% 218.88/141.44 tff(31506,plain,
% 218.88/141.44 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB33, 1) <=> v84(constB32, 1))) <=> (v84(constB33, 1) <=> v84(constB32, 1))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31505, 31504])).
% 218.88/141.44 tff(31507,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB33, 1) <=> v84(constB32, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 1) <=> v84(constB32, 1)))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[31506])).
% 218.88/141.44 tff(31508,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB33, 1) <=> v84(constB32, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 1) <=> v84(constB32, 1)))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31507, 31503])).
% 218.88/141.44 tff(31509,plain,
% 218.88/141.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB33, 1) <=> v84(constB32, 1)))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31510,plain,
% 218.88/141.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 1) <=> v84(constB32, 1))),
% 218.88/141.44 inference(modus_ponens,[status(thm)],[31509, 31508])).
% 218.88/141.44 tff(31511,plain,
% 218.88/141.44 (v84(constB33, 1) <=> v84(constB32, 1)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31510, 31484])).
% 218.88/141.44 tff(31512,plain,
% 218.88/141.44 ((~v95(constB32)) | (~v104(constB32))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31422, 31312])).
% 218.88/141.44 tff(31513,plain,
% 218.88/141.44 (~v94(constB32)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31429, 31512])).
% 218.88/141.44 tff(31514,plain,
% 218.88/141.44 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31437, 31513])).
% 218.88/141.44 tff(31515,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 1) <=> v84(constB31, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 1) <=> v84(constB31, 1)))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31516,plain,
% 218.88/141.44 (($false | $false | (v84(constB32, 1) <=> v84(constB31, 1))) <=> (v84(constB32, 1) <=> v84(constB31, 1))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31517,plain,
% 218.88/141.44 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB32, 1) <=> v84(constB31, 1))) <=> ($false | $false | (v84(constB32, 1) <=> v84(constB31, 1)))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[402, 401])).
% 218.88/141.44 tff(31518,plain,
% 218.88/141.44 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB32, 1) <=> v84(constB31, 1))) <=> (v84(constB32, 1) <=> v84(constB31, 1))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31517, 31516])).
% 218.88/141.44 tff(31519,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB32, 1) <=> v84(constB31, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 1) <=> v84(constB31, 1)))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[31518])).
% 218.88/141.44 tff(31520,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB32, 1) <=> v84(constB31, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 1) <=> v84(constB31, 1)))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31519, 31515])).
% 218.88/141.44 tff(31521,plain,
% 218.88/141.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB32, 1) <=> v84(constB31, 1)))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31522,plain,
% 218.88/141.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 1) <=> v84(constB31, 1))),
% 218.88/141.44 inference(modus_ponens,[status(thm)],[31521, 31520])).
% 218.88/141.44 tff(31523,plain,
% 218.88/141.44 (v84(constB32, 1) <=> v84(constB31, 1)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31522, 31514])).
% 218.88/141.44 tff(31524,plain,
% 218.88/141.44 ((~(v84(constB32, 1) <=> v84(constB31, 1))) | v84(constB32, 1) | (~v84(constB31, 1))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31525,plain,
% 218.88/141.44 ((~(v84(constB32, 1) <=> v84(constB31, 1))) | v84(constB32, 1)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31524, 31140])).
% 218.88/141.44 tff(31526,plain,
% 218.88/141.44 (v84(constB32, 1)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31525, 31523])).
% 218.88/141.44 tff(31527,plain,
% 218.88/141.44 ((~(v84(constB33, 1) <=> v84(constB32, 1))) | v84(constB33, 1) | (~v84(constB32, 1))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31528,plain,
% 218.88/141.44 ((~(v84(constB33, 1) <=> v84(constB32, 1))) | v84(constB33, 1)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31527, 31526])).
% 218.88/141.44 tff(31529,plain,
% 218.88/141.44 (v84(constB33, 1)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31528, 31511])).
% 218.88/141.44 tff(31530,plain,
% 218.88/141.44 ((v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))) | (~v84(constB33, 1))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31531,plain,
% 218.88/141.44 (v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31530, 31529])).
% 218.88/141.44 tff(31532,assumption,(~(v118(constB33) <=> (~(v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2)))))), introduced(assumption)).
% 218.88/141.44 tff(31533,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB33) <=> (~(v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2)))))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31534,plain,
% 218.88/141.44 ($false),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31533, 394, 31532])).
% 218.88/141.44 tff(31535,plain,(v118(constB33) <=> (~(v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.88/141.44 tff(31536,plain,
% 218.88/141.44 ((~(v118(constB33) <=> (~(v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2)))))) | (~v118(constB33)) | (~(v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31537,plain,
% 218.88/141.44 ((~v118(constB33)) | (~(v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31536, 31535])).
% 218.88/141.44 tff(31538,plain,
% 218.88/141.44 (~v118(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31537, 31531])).
% 218.88/141.44 tff(31539,plain,
% 218.88/141.44 ((v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))) | (~v84(constB33, 0))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31540,plain,
% 218.88/141.44 (v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31539, 31497])).
% 218.88/141.44 tff(31541,assumption,(~(v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))))), introduced(assumption)).
% 218.88/141.44 tff(31542,plain,
% 218.88/141.44 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31543,plain,
% 218.88/141.44 ((v117(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | (~v84(constB33, 2))))) <=> (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31544,plain,
% 218.88/141.44 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | (~v84(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[31543])).
% 218.88/141.44 tff(31545,plain,
% 218.88/141.44 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | (~v84(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31544, 31542])).
% 218.88/141.44 tff(31546,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | (~v84(constB33, 2)))))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31547,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))))),
% 218.88/141.44 inference(modus_ponens,[status(thm)],[31546, 31545])).
% 218.88/141.44 tff(31548,plain,
% 218.88/141.44 ($false),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31547, 656, 31541])).
% 218.88/141.44 tff(31549,plain,(v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.88/141.44 tff(31550,plain,
% 218.88/141.44 ((~(v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))))) | (~v117(constB33)) | (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31551,plain,
% 218.88/141.44 ((~v117(constB33)) | (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31550, 31549])).
% 218.88/141.44 tff(31552,plain,
% 218.88/141.44 (~v117(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31551, 31540])).
% 218.88/141.44 tff(31553,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB33) <=> (v111(constB33) | v116(constB33)))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31554,plain,
% 218.88/141.44 (v110(constB33) <=> (v111(constB33) | v116(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31553, 265])).
% 218.88/141.44 tff(31555,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB33) <=> (v112(constB33) | v115(constB33)))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31556,plain,
% 218.88/141.44 (v111(constB33) <=> (v112(constB33) | v115(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31555, 274])).
% 218.88/141.44 tff(31557,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB33) <=> (v113(constB33) | v114(constB33)))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31558,plain,
% 218.88/141.44 (v112(constB33) <=> (v113(constB33) | v114(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31557, 283])).
% 218.88/141.44 tff(31559,plain,
% 218.88/141.44 ((v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))) | (~v84(constB33, 1))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31560,plain,
% 218.88/141.44 (v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31559, 31529])).
% 218.88/141.44 tff(31561,assumption,(~(v114(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0)))))), introduced(assumption)).
% 218.88/141.44 tff(31562,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0)))))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31563,plain,
% 218.88/141.44 ($false),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31562, 298, 31561])).
% 218.88/141.44 tff(31564,plain,(v114(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.88/141.44 tff(31565,plain,
% 218.88/141.44 ((~(v114(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0)))))) | (~v114(constB33)) | (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31566,plain,
% 218.88/141.44 ((~v114(constB33)) | (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31565, 31564])).
% 218.88/141.44 tff(31567,plain,
% 218.88/141.44 (~v114(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31566, 31560])).
% 218.88/141.44 tff(31568,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31569,plain,
% 218.88/141.44 (v113(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2)))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31568, 597])).
% 218.88/141.44 tff(31570,plain,
% 218.88/141.44 ((v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2)) | (~v84(constB33, 0))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31571,plain,
% 218.88/141.44 (v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31570, 31497])).
% 218.88/141.44 tff(31572,plain,
% 218.88/141.44 ((~(v113(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))))) | (~v113(constB33)) | (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2)))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31573,plain,
% 218.88/141.44 ((~(v113(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))))) | (~v113(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31572, 31571])).
% 218.88/141.44 tff(31574,plain,
% 218.88/141.44 (~v113(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31573, 31569])).
% 218.88/141.44 tff(31575,plain,
% 218.88/141.44 ((~(v113(constB33) | v114(constB33))) | v113(constB33) | v114(constB33)),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31576,plain,
% 218.88/141.44 (~(v113(constB33) | v114(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31575, 31574, 31567])).
% 218.88/141.44 tff(31577,plain,
% 218.88/141.44 ((~(v112(constB33) <=> (v113(constB33) | v114(constB33)))) | (~v112(constB33)) | (v113(constB33) | v114(constB33))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31578,plain,
% 218.88/141.44 ((~(v112(constB33) <=> (v113(constB33) | v114(constB33)))) | (~v112(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31577, 31576])).
% 218.88/141.44 tff(31579,plain,
% 218.88/141.44 (~v112(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31578, 31558])).
% 218.88/141.44 tff(31580,plain,
% 218.88/141.44 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))))))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31581,plain,
% 218.88/141.44 ((v115(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 2) | (~v84(constB33, 1))))) <=> (v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31582,plain,
% 218.88/141.44 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 2) | (~v84(constB33, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))))))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[31581])).
% 218.88/141.44 tff(31583,plain,
% 218.88/141.44 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 2) | (~v84(constB33, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))))))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31582, 31580])).
% 218.88/141.44 tff(31584,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 2) | (~v84(constB33, 1)))))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31585,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))))),
% 218.88/141.44 inference(modus_ponens,[status(thm)],[31584, 31583])).
% 218.88/141.44 tff(31586,plain,
% 218.88/141.44 (v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31585, 622])).
% 218.88/141.44 tff(31587,plain,
% 218.88/141.44 ((v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))) | (~v84(constB33, 0))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31588,plain,
% 218.88/141.44 (v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31587, 31497])).
% 218.88/141.44 tff(31589,plain,
% 218.88/141.44 ((~(v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))))) | (~v115(constB33)) | (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31590,plain,
% 218.88/141.44 ((~(v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))))) | (~v115(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31589, 31588])).
% 218.88/141.44 tff(31591,plain,
% 218.88/141.44 (~v115(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31590, 31586])).
% 218.88/141.44 tff(31592,plain,
% 218.88/141.44 ((~(v112(constB33) | v115(constB33))) | v112(constB33) | v115(constB33)),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31593,plain,
% 218.88/141.44 ((~(v112(constB33) | v115(constB33))) | v112(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31592, 31591])).
% 218.88/141.44 tff(31594,plain,
% 218.88/141.44 (~(v112(constB33) | v115(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31593, 31579])).
% 218.88/141.44 tff(31595,plain,
% 218.88/141.44 ((~(v111(constB33) <=> (v112(constB33) | v115(constB33)))) | (~v111(constB33)) | (v112(constB33) | v115(constB33))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31596,plain,
% 218.88/141.44 (~v111(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31595, 31594, 31556])).
% 218.88/141.44 tff(31597,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 2) <=> v84(constB32, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 2) <=> v84(constB32, 2)))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31598,plain,
% 218.88/141.44 (($false | $false | (v84(constB33, 2) <=> v84(constB32, 2))) <=> (v84(constB33, 2) <=> v84(constB32, 2))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31599,plain,
% 218.88/141.44 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB33, 2) <=> v84(constB32, 2))) <=> ($false | $false | (v84(constB33, 2) <=> v84(constB32, 2)))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[534, 533])).
% 218.88/141.44 tff(31600,plain,
% 218.88/141.44 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB33, 2) <=> v84(constB32, 2))) <=> (v84(constB33, 2) <=> v84(constB32, 2))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31599, 31598])).
% 218.88/141.44 tff(31601,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB33, 2) <=> v84(constB32, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 2) <=> v84(constB32, 2)))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[31600])).
% 218.88/141.44 tff(31602,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB33, 2) <=> v84(constB32, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 2) <=> v84(constB32, 2)))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31601, 31597])).
% 218.88/141.44 tff(31603,plain,
% 218.88/141.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB33, 2) <=> v84(constB32, 2)))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31604,plain,
% 218.88/141.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB33, B) <=> v84(constB32, B)))) | (v84(constB33, 2) <=> v84(constB32, 2))),
% 218.88/141.44 inference(modus_ponens,[status(thm)],[31603, 31602])).
% 218.88/141.44 tff(31605,plain,
% 218.88/141.44 (v84(constB33, 2) <=> v84(constB32, 2)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31604, 31484])).
% 218.88/141.44 tff(31606,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 2) <=> v84(constB31, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 2) <=> v84(constB31, 2)))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31607,plain,
% 218.88/141.44 (($false | $false | (v84(constB32, 2) <=> v84(constB31, 2))) <=> (v84(constB32, 2) <=> v84(constB31, 2))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31608,plain,
% 218.88/141.44 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB32, 2) <=> v84(constB31, 2))) <=> ($false | $false | (v84(constB32, 2) <=> v84(constB31, 2)))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[534, 533])).
% 218.88/141.44 tff(31609,plain,
% 218.88/141.44 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB32, 2) <=> v84(constB31, 2))) <=> (v84(constB32, 2) <=> v84(constB31, 2))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31608, 31607])).
% 218.88/141.44 tff(31610,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB32, 2) <=> v84(constB31, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 2) <=> v84(constB31, 2)))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[31609])).
% 218.88/141.44 tff(31611,plain,
% 218.88/141.44 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB32, 2) <=> v84(constB31, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 2) <=> v84(constB31, 2)))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31610, 31606])).
% 218.88/141.44 tff(31612,plain,
% 218.88/141.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB32, 2) <=> v84(constB31, 2)))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31613,plain,
% 218.88/141.44 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))) | (v84(constB32, 2) <=> v84(constB31, 2))),
% 218.88/141.44 inference(modus_ponens,[status(thm)],[31612, 31611])).
% 218.88/141.44 tff(31614,plain,
% 218.88/141.44 (v84(constB32, 2) <=> v84(constB31, 2)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31613, 31514])).
% 218.88/141.44 tff(31615,plain,
% 218.88/141.44 ((~(v84(constB32, 2) <=> v84(constB31, 2))) | v84(constB32, 2) | (~v84(constB31, 2))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31616,plain,
% 218.88/141.44 ((~(v84(constB32, 2) <=> v84(constB31, 2))) | v84(constB32, 2)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31615, 31229])).
% 218.88/141.44 tff(31617,plain,
% 218.88/141.44 (v84(constB32, 2)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31616, 31614])).
% 218.88/141.44 tff(31618,plain,
% 218.88/141.44 ((~(v84(constB33, 2) <=> v84(constB32, 2))) | v84(constB33, 2) | (~v84(constB32, 2))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31619,plain,
% 218.88/141.44 ((~(v84(constB33, 2) <=> v84(constB32, 2))) | v84(constB33, 2)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31618, 31617])).
% 218.88/141.44 tff(31620,plain,
% 218.88/141.44 (v84(constB33, 2)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31619, 31605])).
% 218.88/141.44 tff(31621,plain,
% 218.88/141.44 ((v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))) | (~v84(constB33, 2))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31622,plain,
% 218.88/141.44 (v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31621, 31620])).
% 218.88/141.44 tff(31623,assumption,(~(v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1)))))), introduced(assumption)).
% 218.88/141.44 tff(31624,plain,
% 218.88/141.44 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))))))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31625,plain,
% 218.88/141.44 ((v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 1)) | (~v84(constB33, 0))))) <=> (v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1)))))),
% 218.88/141.44 inference(rewrite,[status(thm)],[])).
% 218.88/141.44 tff(31626,plain,
% 218.88/141.44 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 1)) | (~v84(constB33, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))))))),
% 218.88/141.44 inference(monotonicity,[status(thm)],[31625])).
% 218.88/141.44 tff(31627,plain,
% 218.88/141.44 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 1)) | (~v84(constB33, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))))))),
% 218.88/141.44 inference(transitivity,[status(thm)],[31626, 31624])).
% 218.88/141.44 tff(31628,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 1)) | (~v84(constB33, 0)))))),
% 218.88/141.44 inference(quant_inst,[status(thm)],[])).
% 218.88/141.44 tff(31629,plain,
% 218.88/141.44 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1)))))),
% 218.88/141.44 inference(modus_ponens,[status(thm)],[31628, 31627])).
% 218.88/141.44 tff(31630,plain,
% 218.88/141.44 ($false),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31629, 521, 31623])).
% 218.88/141.44 tff(31631,plain,(v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.88/141.44 tff(31632,plain,
% 218.88/141.44 ((~(v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1)))))) | (~v116(constB33)) | (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))))),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31633,plain,
% 218.88/141.44 ((~v116(constB33)) | (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31632, 31631])).
% 218.88/141.44 tff(31634,plain,
% 218.88/141.44 (~v116(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31633, 31622])).
% 218.88/141.44 tff(31635,plain,
% 218.88/141.44 ((~(v111(constB33) | v116(constB33))) | v111(constB33) | v116(constB33)),
% 218.88/141.44 inference(tautology,[status(thm)],[])).
% 218.88/141.44 tff(31636,plain,
% 218.88/141.44 ((~(v111(constB33) | v116(constB33))) | v111(constB33)),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31635, 31634])).
% 218.88/141.44 tff(31637,plain,
% 218.88/141.44 (~(v111(constB33) | v116(constB33))),
% 218.88/141.44 inference(unit_resolution,[status(thm)],[31636, 31596])).
% 218.88/141.44 tff(31638,plain,
% 218.88/141.44 ((~(v110(constB33) <=> (v111(constB33) | v116(constB33)))) | (~v110(constB33)) | (v111(constB33) | v116(constB33))),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31639,plain,
% 218.90/141.44 (~v110(constB33)),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31638, 31637, 31554])).
% 218.90/141.44 tff(31640,plain,
% 218.90/141.44 ((~(v110(constB33) | v117(constB33))) | v110(constB33) | v117(constB33)),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31641,plain,
% 218.90/141.44 (~(v110(constB33) | v117(constB33))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31640, 31639, 31552])).
% 218.90/141.44 tff(31642,assumption,(~(v109(constB33) <=> (v110(constB33) | v117(constB33)))), introduced(assumption)).
% 218.90/141.44 tff(31643,plain,
% 218.90/141.44 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB33) <=> (v110(constB33) | v117(constB33)))),
% 218.90/141.44 inference(quant_inst,[status(thm)],[])).
% 218.90/141.44 tff(31644,plain,
% 218.90/141.44 ($false),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31643, 456, 31642])).
% 218.90/141.44 tff(31645,plain,(v109(constB33) <=> (v110(constB33) | v117(constB33))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.44 tff(31646,plain,
% 218.90/141.44 ((~(v109(constB33) <=> (v110(constB33) | v117(constB33)))) | (~v109(constB33)) | (v110(constB33) | v117(constB33))),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31647,plain,
% 218.90/141.44 ((~v109(constB33)) | (v110(constB33) | v117(constB33))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31646, 31645])).
% 218.90/141.44 tff(31648,plain,
% 218.90/141.44 (~v109(constB33)),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31647, 31641])).
% 218.90/141.44 tff(31649,plain,
% 218.90/141.44 ((~(v109(constB33) | v118(constB33))) | v109(constB33) | v118(constB33)),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31650,plain,
% 218.90/141.44 (~(v109(constB33) | v118(constB33))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31649, 31648, 31538])).
% 218.90/141.44 tff(31651,assumption,(~(v108(constB33) <=> (v109(constB33) | v118(constB33)))), introduced(assumption)).
% 218.90/141.44 tff(31652,plain,
% 218.90/141.44 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB33) <=> (v109(constB33) | v118(constB33)))),
% 218.90/141.44 inference(quant_inst,[status(thm)],[])).
% 218.90/141.44 tff(31653,plain,
% 218.90/141.44 ($false),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31652, 428, 31651])).
% 218.90/141.44 tff(31654,plain,(v108(constB33) <=> (v109(constB33) | v118(constB33))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.44 tff(31655,plain,
% 218.90/141.44 ((~(v108(constB33) <=> (v109(constB33) | v118(constB33)))) | (~v108(constB33)) | (v109(constB33) | v118(constB33))),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31656,plain,
% 218.90/141.44 ((~v108(constB33)) | (v109(constB33) | v118(constB33))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31655, 31654])).
% 218.90/141.44 tff(31657,plain,
% 218.90/141.44 (~v108(constB33)),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31656, 31650])).
% 218.90/141.44 tff(31658,plain,
% 218.90/141.44 ((~(v108(constB33) | v119(constB33))) | v108(constB33) | v119(constB33)),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31659,plain,
% 218.90/141.44 (~(v108(constB33) | v119(constB33))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31658, 31657, 31502])).
% 218.90/141.44 tff(31660,assumption,(~(v107(constB33) <=> (v108(constB33) | v119(constB33)))), introduced(assumption)).
% 218.90/141.44 tff(31661,plain,
% 218.90/141.44 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB33) <=> (v108(constB33) | v119(constB33)))),
% 218.90/141.44 inference(quant_inst,[status(thm)],[])).
% 218.90/141.44 tff(31662,plain,
% 218.90/141.44 ($false),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31661, 187, 31660])).
% 218.90/141.44 tff(31663,plain,(v107(constB33) <=> (v108(constB33) | v119(constB33))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.44 tff(31664,plain,
% 218.90/141.44 ((~(v107(constB33) <=> (v108(constB33) | v119(constB33)))) | (~v107(constB33)) | (v108(constB33) | v119(constB33))),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31665,plain,
% 218.90/141.44 ((~v107(constB33)) | (v108(constB33) | v119(constB33))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31664, 31663])).
% 218.90/141.44 tff(31666,plain,
% 218.90/141.44 (~v107(constB33)),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31665, 31659])).
% 218.90/141.44 tff(31667,plain,
% 218.90/141.44 (((~v107(constB33)) | (~v120(constB33))) | v107(constB33)),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31668,plain,
% 218.90/141.44 ((~v107(constB33)) | (~v120(constB33))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31667, 31666])).
% 218.90/141.44 tff(31669,plain,
% 218.90/141.44 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB33) <=> (~((~v107(constB33)) | (~v120(constB33)))))),
% 218.90/141.44 inference(quant_inst,[status(thm)],[])).
% 218.90/141.44 tff(31670,plain,
% 218.90/141.44 (v106(constB33) <=> (~((~v107(constB33)) | (~v120(constB33))))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31669, 132])).
% 218.90/141.44 tff(31671,plain,
% 218.90/141.44 ((~(v106(constB33) <=> (~((~v107(constB33)) | (~v120(constB33)))))) | (~v106(constB33)) | (~((~v107(constB33)) | (~v120(constB33))))),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31672,plain,
% 218.90/141.44 ((~v106(constB33)) | (~((~v107(constB33)) | (~v120(constB33))))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31671, 31670])).
% 218.90/141.44 tff(31673,plain,
% 218.90/141.44 (~v106(constB33)),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31672, 31668])).
% 218.90/141.44 tff(31674,plain,
% 218.90/141.44 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB33) <=> v26(constB33))),
% 218.90/141.44 inference(quant_inst,[status(thm)],[])).
% 218.90/141.44 tff(31675,plain,
% 218.90/141.44 (v105(constB33) <=> v26(constB33)),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31674, 156])).
% 218.90/141.44 tff(31676,plain,
% 218.90/141.44 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 218.90/141.44 inference(quant_inst,[status(thm)],[])).
% 218.90/141.44 tff(31677,plain,
% 218.90/141.44 (~v26(constB33)),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31676, 168])).
% 218.90/141.44 tff(31678,plain,
% 218.90/141.44 ((~(v105(constB33) <=> v26(constB33))) | (~v105(constB33)) | v26(constB33)),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31679,plain,
% 218.90/141.44 ((~(v105(constB33) <=> v26(constB33))) | (~v105(constB33))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31678, 31677])).
% 218.90/141.44 tff(31680,plain,
% 218.90/141.44 (~v105(constB33)),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31679, 31675])).
% 218.90/141.44 tff(31681,plain,
% 218.90/141.44 ((~(v105(constB33) | v106(constB33))) | v105(constB33) | v106(constB33)),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31682,plain,
% 218.90/141.44 ((~(v105(constB33) | v106(constB33))) | v106(constB33)),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31681, 31680])).
% 218.90/141.44 tff(31683,plain,
% 218.90/141.44 (~(v105(constB33) | v106(constB33))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31682, 31673])).
% 218.90/141.44 tff(31684,plain,
% 218.90/141.44 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB33) <=> (v105(constB33) | v106(constB33)))),
% 218.90/141.44 inference(quant_inst,[status(thm)],[])).
% 218.90/141.44 tff(31685,plain,
% 218.90/141.44 (v102(constB33) <=> (v105(constB33) | v106(constB33))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31684, 115])).
% 218.90/141.44 tff(31686,plain,
% 218.90/141.44 ((~(v102(constB33) <=> (v105(constB33) | v106(constB33)))) | (~v102(constB33)) | (v105(constB33) | v106(constB33))),
% 218.90/141.44 inference(tautology,[status(thm)],[])).
% 218.90/141.44 tff(31687,plain,
% 218.90/141.44 ((~v102(constB33)) | (v105(constB33) | v106(constB33))),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31686, 31685])).
% 218.90/141.44 tff(31688,plain,
% 218.90/141.44 (~v102(constB33)),
% 218.90/141.44 inference(unit_resolution,[status(thm)],[31687, 31683])).
% 218.90/141.44 tff(31689,plain,
% 218.90/141.44 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 218.90/141.44 inference(rewrite,[status(thm)],[])).
% 218.90/141.44 tff(31690,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33')).
% 218.90/141.45 tff(31691,plain,
% 218.90/141.45 (nextState(constB33, constB34)),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31690, 31689])).
% 218.90/141.45 tff(31692,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33)))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31693,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33)))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31694,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33))),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31693, 31692])).
% 218.90/141.45 tff(31695,plain,
% 218.90/141.45 (v104(constB34) <=> v102(constB33)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31694, 31691, 101])).
% 218.90/141.45 tff(31696,plain,
% 218.90/141.45 ((~(v104(constB34) <=> v102(constB33))) | (~v104(constB34)) | v102(constB33)),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31697,plain,
% 218.90/141.45 ((~v104(constB34)) | v102(constB33)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31696, 31695])).
% 218.90/141.45 tff(31698,plain,
% 218.90/141.45 (~v104(constB34)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31697, 31688])).
% 218.90/141.45 tff(31699,plain,
% 218.90/141.45 (((~v95(constB34)) | (~v104(constB34))) | v104(constB34)),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31700,plain,
% 218.90/141.45 ((~v95(constB34)) | (~v104(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31699, 31698])).
% 218.90/141.45 tff(31701,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34))))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31702,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34))))))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31703,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34)))))),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31702, 31701])).
% 218.90/141.45 tff(31704,plain,
% 218.90/141.45 (v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34))))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31703, 31691, 14])).
% 218.90/141.45 tff(31705,plain,
% 218.90/141.45 ((~(v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34)))))) | (~v94(constB34)) | (~((~v95(constB34)) | (~v104(constB34))))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31706,plain,
% 218.90/141.45 ((~v94(constB34)) | (~((~v95(constB34)) | (~v104(constB34))))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31705, 31704])).
% 218.90/141.45 tff(31707,plain,
% 218.90/141.45 (~v94(constB34)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31706, 31700])).
% 218.90/141.45 tff(31708,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB34) | (~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB34) | (~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31709,plain,
% 218.90/141.45 ((v94(constB34) | (~nextState(constB33, constB34)) | ![B: $int] : ((v84(constB34, B) <=> v84(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB34) | (~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31710,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB34) | (~nextState(constB33, constB34)) | ![B: $int] : ((v84(constB34, B) <=> v84(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB34) | (~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[31709])).
% 218.90/141.45 tff(31711,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB34) | (~nextState(constB33, constB34)) | ![B: $int] : ((v84(constB34, B) <=> v84(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB34) | (~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B))))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31710, 31708])).
% 218.90/141.45 tff(31712,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB34) | (~nextState(constB33, constB34)) | ![B: $int] : ((v84(constB34, B) <=> v84(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31713,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB34) | (~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31712, 31711])).
% 218.90/141.45 tff(31714,plain,
% 218.90/141.45 (v94(constB34) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31713, 31691, 235])).
% 218.90/141.45 tff(31715,plain,
% 218.90/141.45 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31714, 31707])).
% 218.90/141.45 tff(31716,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 2) <=> v84(constB33, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 2) <=> v84(constB33, 2)))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31717,plain,
% 218.90/141.45 (($false | $false | (v84(constB34, 2) <=> v84(constB33, 2))) <=> (v84(constB34, 2) <=> v84(constB33, 2))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31718,plain,
% 218.90/141.45 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB34, 2) <=> v84(constB33, 2))) <=> ($false | $false | (v84(constB34, 2) <=> v84(constB33, 2)))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[534, 533])).
% 218.90/141.45 tff(31719,plain,
% 218.90/141.45 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB34, 2) <=> v84(constB33, 2))) <=> (v84(constB34, 2) <=> v84(constB33, 2))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31718, 31717])).
% 218.90/141.45 tff(31720,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB34, 2) <=> v84(constB33, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 2) <=> v84(constB33, 2)))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[31719])).
% 218.90/141.45 tff(31721,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB34, 2) <=> v84(constB33, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 2) <=> v84(constB33, 2)))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31720, 31716])).
% 218.90/141.45 tff(31722,plain,
% 218.90/141.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB34, 2) <=> v84(constB33, 2)))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31723,plain,
% 218.90/141.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 2) <=> v84(constB33, 2))),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31722, 31721])).
% 218.90/141.45 tff(31724,plain,
% 218.90/141.45 (v84(constB34, 2) <=> v84(constB33, 2)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31723, 31715])).
% 218.90/141.45 tff(31725,plain,
% 218.90/141.45 ((~(v84(constB34, 2) <=> v84(constB33, 2))) | v84(constB34, 2) | (~v84(constB33, 2))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31726,plain,
% 218.90/141.45 ((~(v84(constB34, 2) <=> v84(constB33, 2))) | v84(constB34, 2)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31725, 31620])).
% 218.90/141.45 tff(31727,plain,
% 218.90/141.45 (v84(constB34, 2)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31726, 31724])).
% 218.90/141.45 tff(31728,assumption,(~(v84(constB35, 2) <=> v84(constB34, 2))), introduced(assumption)).
% 218.90/141.45 tff(31729,plain,
% 218.90/141.45 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31730,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34')).
% 218.90/141.45 tff(31731,plain,
% 218.90/141.45 (nextState(constB34, constB35)),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31730, 31729])).
% 218.90/141.45 tff(31732,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35))))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31733,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35))))))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31734,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35)))))),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31733, 31732])).
% 218.90/141.45 tff(31735,plain,
% 218.90/141.45 (v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35))))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31734, 31731, 14])).
% 218.90/141.45 tff(31736,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31737,plain,
% 218.90/141.45 (((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35)))))) <=> ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31738,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[31737])).
% 218.90/141.45 tff(31739,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31738, 31736])).
% 218.90/141.45 tff(31740,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35))))))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31741,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31740, 31739])).
% 218.90/141.45 tff(31742,plain,
% 218.90/141.45 (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31741, 31731, 37])).
% 218.90/141.45 tff(31743,plain,
% 218.90/141.45 ((~v1(constB35)) <=> (~v1(constB35))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31744,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35')).
% 218.90/141.45 tff(31745,plain,
% 218.90/141.45 (~v1(constB35)),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31744, 31743])).
% 218.90/141.45 tff(31746,plain,
% 218.90/141.45 (((~v1(constB35)) | (~v96(constB35))) | v1(constB35)),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31747,plain,
% 218.90/141.45 ((~v1(constB35)) | (~v96(constB35))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31746, 31745])).
% 218.90/141.45 tff(31748,plain,
% 218.90/141.45 ((~(v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))) | (~v95(constB35)) | (~((~v1(constB35)) | (~v96(constB35))))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31749,plain,
% 218.90/141.45 ((~(v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))) | (~v95(constB35))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31748, 31747])).
% 218.90/141.45 tff(31750,plain,
% 218.90/141.45 (~v95(constB35)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31749, 31742])).
% 218.90/141.45 tff(31751,plain,
% 218.90/141.45 (((~v95(constB35)) | (~v104(constB35))) | v95(constB35)),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31752,plain,
% 218.90/141.45 ((~v95(constB35)) | (~v104(constB35))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31751, 31750])).
% 218.90/141.45 tff(31753,plain,
% 218.90/141.45 ((~(v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35)))))) | (~v94(constB35)) | (~((~v95(constB35)) | (~v104(constB35))))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31754,plain,
% 218.90/141.45 (~v94(constB35)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31753, 31752, 31735])).
% 218.90/141.45 tff(31755,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB35) | (~nextState(constB34, constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB35) | (~nextState(constB34, constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31756,plain,
% 218.90/141.45 ((v94(constB35) | (~nextState(constB34, constB35)) | ![B: $int] : ((v84(constB35, B) <=> v84(constB34, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB35) | (~nextState(constB34, constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31757,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB35) | (~nextState(constB34, constB35)) | ![B: $int] : ((v84(constB35, B) <=> v84(constB34, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB35) | (~nextState(constB34, constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[31756])).
% 218.90/141.45 tff(31758,plain,
% 218.90/141.45 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB35) | (~nextState(constB34, constB35)) | ![B: $int] : ((v84(constB35, B) <=> v84(constB34, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB35) | (~nextState(constB34, constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B))))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31757, 31755])).
% 218.90/141.45 tff(31759,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB35) | (~nextState(constB34, constB35)) | ![B: $int] : ((v84(constB35, B) <=> v84(constB34, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31760,plain,
% 218.90/141.45 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB35) | (~nextState(constB34, constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31759, 31758])).
% 218.90/141.45 tff(31761,plain,
% 218.90/141.45 (v94(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31760, 31731, 235])).
% 218.90/141.45 tff(31762,plain,
% 218.90/141.45 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31761, 31754])).
% 218.90/141.45 tff(31763,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 2) <=> v84(constB34, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 2) <=> v84(constB34, 2)))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31764,plain,
% 218.90/141.45 (($false | $false | (v84(constB35, 2) <=> v84(constB34, 2))) <=> (v84(constB35, 2) <=> v84(constB34, 2))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31765,plain,
% 218.90/141.45 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB35, 2) <=> v84(constB34, 2))) <=> ($false | $false | (v84(constB35, 2) <=> v84(constB34, 2)))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[534, 533])).
% 218.90/141.45 tff(31766,plain,
% 218.90/141.45 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB35, 2) <=> v84(constB34, 2))) <=> (v84(constB35, 2) <=> v84(constB34, 2))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31765, 31764])).
% 218.90/141.45 tff(31767,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB35, 2) <=> v84(constB34, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 2) <=> v84(constB34, 2)))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[31766])).
% 218.90/141.45 tff(31768,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB35, 2) <=> v84(constB34, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 2) <=> v84(constB34, 2)))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31767, 31763])).
% 218.90/141.45 tff(31769,plain,
% 218.90/141.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB35, 2) <=> v84(constB34, 2)))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31770,plain,
% 218.90/141.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 2) <=> v84(constB34, 2))),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31769, 31768])).
% 218.90/141.45 tff(31771,plain,
% 218.90/141.45 ($false),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31770, 31762, 31728])).
% 218.90/141.45 tff(31772,plain,(v84(constB35, 2) <=> v84(constB34, 2)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.45 tff(31773,plain,
% 218.90/141.45 ((~(v84(constB35, 2) <=> v84(constB34, 2))) | v84(constB35, 2) | (~v84(constB34, 2))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31774,plain,
% 218.90/141.45 (v84(constB35, 2) | (~v84(constB34, 2))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31773, 31772])).
% 218.90/141.45 tff(31775,plain,
% 218.90/141.45 (v84(constB35, 2)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31774, 31727])).
% 218.90/141.45 tff(31776,plain,
% 218.90/141.45 ((v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))) | (~v84(constB35, 2))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31777,plain,
% 218.90/141.45 (v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31776, 31775])).
% 218.90/141.45 tff(31778,plain,
% 218.90/141.45 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2)))))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31779,plain,
% 218.90/141.45 (v119(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2))))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31778, 318])).
% 218.90/141.45 tff(31780,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 0) <=> v84(constB33, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 0) <=> v84(constB33, 0)))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31781,plain,
% 218.90/141.45 (($false | $false | (v84(constB34, 0) <=> v84(constB33, 0))) <=> (v84(constB34, 0) <=> v84(constB33, 0))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31782,plain,
% 218.90/141.45 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB34, 0) <=> v84(constB33, 0))) <=> ($false | $false | (v84(constB34, 0) <=> v84(constB33, 0)))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[250, 249])).
% 218.90/141.45 tff(31783,plain,
% 218.90/141.45 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB34, 0) <=> v84(constB33, 0))) <=> (v84(constB34, 0) <=> v84(constB33, 0))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31782, 31781])).
% 218.90/141.45 tff(31784,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB34, 0) <=> v84(constB33, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 0) <=> v84(constB33, 0)))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[31783])).
% 218.90/141.45 tff(31785,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB34, 0) <=> v84(constB33, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 0) <=> v84(constB33, 0)))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31784, 31780])).
% 218.90/141.45 tff(31786,plain,
% 218.90/141.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB34, 0) <=> v84(constB33, 0)))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31787,plain,
% 218.90/141.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 0) <=> v84(constB33, 0))),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31786, 31785])).
% 218.90/141.45 tff(31788,plain,
% 218.90/141.45 (v84(constB34, 0) <=> v84(constB33, 0)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31787, 31715])).
% 218.90/141.45 tff(31789,plain,
% 218.90/141.45 ((~(v84(constB34, 0) <=> v84(constB33, 0))) | v84(constB34, 0) | (~v84(constB33, 0))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31790,plain,
% 218.90/141.45 ((~(v84(constB34, 0) <=> v84(constB33, 0))) | v84(constB34, 0)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31789, 31497])).
% 218.90/141.45 tff(31791,plain,
% 218.90/141.45 (v84(constB34, 0)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31790, 31788])).
% 218.90/141.45 tff(31792,plain,
% 218.90/141.45 ((v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2))) | (~v84(constB34, 0))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31793,plain,
% 218.90/141.45 (v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31792, 31791])).
% 218.90/141.45 tff(31794,plain,
% 218.90/141.45 ((~(v119(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2)))))) | (~v119(constB34)) | (~(v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2))))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31795,plain,
% 218.90/141.45 ((~(v119(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2)))))) | (~v119(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31794, 31793])).
% 218.90/141.45 tff(31796,plain,
% 218.90/141.45 (~v119(constB34)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31795, 31779])).
% 218.90/141.45 tff(31797,plain,
% 218.90/141.45 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB34) <=> (v109(constB34) | v118(constB34)))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31798,plain,
% 218.90/141.45 (v108(constB34) <=> (v109(constB34) | v118(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31797, 428])).
% 218.90/141.45 tff(31799,plain,
% 218.90/141.45 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB34) <=> (v110(constB34) | v117(constB34)))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31800,plain,
% 218.90/141.45 (v109(constB34) <=> (v110(constB34) | v117(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31799, 456])).
% 218.90/141.45 tff(31801,plain,
% 218.90/141.45 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB34) <=> (v111(constB34) | v116(constB34)))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31802,plain,
% 218.90/141.45 (v110(constB34) <=> (v111(constB34) | v116(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31801, 265])).
% 218.90/141.45 tff(31803,plain,
% 218.90/141.45 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB34) <=> (v112(constB34) | v115(constB34)))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31804,plain,
% 218.90/141.45 (v111(constB34) <=> (v112(constB34) | v115(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31803, 274])).
% 218.90/141.45 tff(31805,plain,
% 218.90/141.45 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB34) <=> (v113(constB34) | v114(constB34)))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31806,plain,
% 218.90/141.45 (v112(constB34) <=> (v113(constB34) | v114(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31805, 283])).
% 218.90/141.45 tff(31807,plain,
% 218.90/141.45 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB34) <=> (~(v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0)))))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31808,plain,
% 218.90/141.45 (v114(constB34) <=> (~(v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0))))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31807, 298])).
% 218.90/141.45 tff(31809,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 1) <=> v84(constB33, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 1) <=> v84(constB33, 1)))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31810,plain,
% 218.90/141.45 (($false | $false | (v84(constB34, 1) <=> v84(constB33, 1))) <=> (v84(constB34, 1) <=> v84(constB33, 1))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31811,plain,
% 218.90/141.45 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB34, 1) <=> v84(constB33, 1))) <=> ($false | $false | (v84(constB34, 1) <=> v84(constB33, 1)))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.45 tff(31812,plain,
% 218.90/141.45 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB34, 1) <=> v84(constB33, 1))) <=> (v84(constB34, 1) <=> v84(constB33, 1))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31811, 31810])).
% 218.90/141.45 tff(31813,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB34, 1) <=> v84(constB33, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 1) <=> v84(constB33, 1)))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[31812])).
% 218.90/141.45 tff(31814,plain,
% 218.90/141.45 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB34, 1) <=> v84(constB33, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 1) <=> v84(constB33, 1)))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31813, 31809])).
% 218.90/141.45 tff(31815,plain,
% 218.90/141.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB34, 1) <=> v84(constB33, 1)))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31816,plain,
% 218.90/141.45 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | (v84(constB34, 1) <=> v84(constB33, 1))),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31815, 31814])).
% 218.90/141.45 tff(31817,plain,
% 218.90/141.45 (v84(constB34, 1) <=> v84(constB33, 1)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31816, 31715])).
% 218.90/141.45 tff(31818,plain,
% 218.90/141.45 ((~(v84(constB34, 1) <=> v84(constB33, 1))) | v84(constB34, 1) | (~v84(constB33, 1))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31819,plain,
% 218.90/141.45 ((~(v84(constB34, 1) <=> v84(constB33, 1))) | v84(constB34, 1)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31818, 31529])).
% 218.90/141.45 tff(31820,plain,
% 218.90/141.45 (v84(constB34, 1)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31819, 31817])).
% 218.90/141.45 tff(31821,plain,
% 218.90/141.45 ((v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0))) | (~v84(constB34, 1))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31822,plain,
% 218.90/141.45 (v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31821, 31820])).
% 218.90/141.45 tff(31823,plain,
% 218.90/141.45 ((~(v114(constB34) <=> (~(v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0)))))) | (~v114(constB34)) | (~(v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0))))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31824,plain,
% 218.90/141.45 ((~(v114(constB34) <=> (~(v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0)))))) | (~v114(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31823, 31822])).
% 218.90/141.45 tff(31825,plain,
% 218.90/141.45 (~v114(constB34)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31824, 31808])).
% 218.90/141.45 tff(31826,plain,
% 218.90/141.45 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2))))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31827,plain,
% 218.90/141.45 (v113(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2)))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31826, 597])).
% 218.90/141.45 tff(31828,plain,
% 218.90/141.45 ((v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2)) | (~v84(constB34, 1))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31829,plain,
% 218.90/141.45 (v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31828, 31820])).
% 218.90/141.45 tff(31830,plain,
% 218.90/141.45 ((~(v113(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2))))) | (~v113(constB34)) | (~(v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2)))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31831,plain,
% 218.90/141.45 ((~(v113(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2))))) | (~v113(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31830, 31829])).
% 218.90/141.45 tff(31832,plain,
% 218.90/141.45 (~v113(constB34)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31831, 31827])).
% 218.90/141.45 tff(31833,plain,
% 218.90/141.45 ((~(v113(constB34) | v114(constB34))) | v113(constB34) | v114(constB34)),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31834,plain,
% 218.90/141.45 (~(v113(constB34) | v114(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31833, 31832, 31825])).
% 218.90/141.45 tff(31835,plain,
% 218.90/141.45 ((~(v112(constB34) <=> (v113(constB34) | v114(constB34)))) | (~v112(constB34)) | (v113(constB34) | v114(constB34))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31836,plain,
% 218.90/141.45 ((~(v112(constB34) <=> (v113(constB34) | v114(constB34)))) | (~v112(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31835, 31834])).
% 218.90/141.45 tff(31837,plain,
% 218.90/141.45 (~v112(constB34)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31836, 31806])).
% 218.90/141.45 tff(31838,plain,
% 218.90/141.45 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2)))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31839,plain,
% 218.90/141.45 ((v115(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 2) | (~v84(constB34, 1))))) <=> (v115(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31840,plain,
% 218.90/141.45 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 2) | (~v84(constB34, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2)))))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[31839])).
% 218.90/141.45 tff(31841,plain,
% 218.90/141.45 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 2) | (~v84(constB34, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2)))))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31840, 31838])).
% 218.90/141.45 tff(31842,plain,
% 218.90/141.45 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 2) | (~v84(constB34, 1)))))),
% 218.90/141.45 inference(quant_inst,[status(thm)],[])).
% 218.90/141.45 tff(31843,plain,
% 218.90/141.45 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2))))),
% 218.90/141.45 inference(modus_ponens,[status(thm)],[31842, 31841])).
% 218.90/141.45 tff(31844,plain,
% 218.90/141.45 (v115(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2)))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31843, 622])).
% 218.90/141.45 tff(31845,plain,
% 218.90/141.45 ((v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2)) | (~v84(constB34, 0))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31846,plain,
% 218.90/141.45 (v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31845, 31791])).
% 218.90/141.45 tff(31847,plain,
% 218.90/141.45 ((~(v115(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2))))) | (~v115(constB34)) | (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2)))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31848,plain,
% 218.90/141.45 ((~(v115(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2))))) | (~v115(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31847, 31846])).
% 218.90/141.45 tff(31849,plain,
% 218.90/141.45 (~v115(constB34)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31848, 31844])).
% 218.90/141.45 tff(31850,plain,
% 218.90/141.45 ((~(v112(constB34) | v115(constB34))) | v112(constB34) | v115(constB34)),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31851,plain,
% 218.90/141.45 ((~(v112(constB34) | v115(constB34))) | v112(constB34)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31850, 31849])).
% 218.90/141.45 tff(31852,plain,
% 218.90/141.45 (~(v112(constB34) | v115(constB34))),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31851, 31837])).
% 218.90/141.45 tff(31853,plain,
% 218.90/141.45 ((~(v111(constB34) <=> (v112(constB34) | v115(constB34)))) | (~v111(constB34)) | (v112(constB34) | v115(constB34))),
% 218.90/141.45 inference(tautology,[status(thm)],[])).
% 218.90/141.45 tff(31854,plain,
% 218.90/141.45 (~v111(constB34)),
% 218.90/141.45 inference(unit_resolution,[status(thm)],[31853, 31852, 31804])).
% 218.90/141.45 tff(31855,plain,
% 218.90/141.45 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB34) <=> (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB34) <=> (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0))))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31856,plain,
% 218.90/141.45 ((v116(constB34) <=> (~(v84(constB34, 2) | (~v84(constB34, 1)) | (~v84(constB34, 0))))) <=> (v116(constB34) <=> (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0)))))),
% 218.90/141.45 inference(rewrite,[status(thm)],[])).
% 218.90/141.45 tff(31857,plain,
% 218.90/141.45 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB34) <=> (~(v84(constB34, 2) | (~v84(constB34, 1)) | (~v84(constB34, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB34) <=> (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0))))))),
% 218.90/141.45 inference(monotonicity,[status(thm)],[31856])).
% 218.90/141.45 tff(31858,plain,
% 218.90/141.45 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB34) <=> (~(v84(constB34, 2) | (~v84(constB34, 1)) | (~v84(constB34, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB34) <=> (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0))))))),
% 218.90/141.45 inference(transitivity,[status(thm)],[31857, 31855])).
% 218.90/141.45 tff(31859,plain,
% 218.90/141.45 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB34) <=> (~(v84(constB34, 2) | (~v84(constB34, 1)) | (~v84(constB34, 0)))))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31860,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB34) <=> (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0)))))),
% 218.90/141.46 inference(modus_ponens,[status(thm)],[31859, 31858])).
% 218.90/141.46 tff(31861,plain,
% 218.90/141.46 (v116(constB34) <=> (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0))))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31860, 521])).
% 218.90/141.46 tff(31862,plain,
% 218.90/141.46 (((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0))) | (~v84(constB34, 2))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31863,plain,
% 218.90/141.46 ((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31862, 31727])).
% 218.90/141.46 tff(31864,plain,
% 218.90/141.46 ((~(v116(constB34) <=> (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0)))))) | (~v116(constB34)) | (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0))))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31865,plain,
% 218.90/141.46 ((~(v116(constB34) <=> (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0)))))) | (~v116(constB34))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31864, 31863])).
% 218.90/141.46 tff(31866,plain,
% 218.90/141.46 (~v116(constB34)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31865, 31861])).
% 218.90/141.46 tff(31867,plain,
% 218.90/141.46 ((~(v111(constB34) | v116(constB34))) | v111(constB34) | v116(constB34)),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31868,plain,
% 218.90/141.46 ((~(v111(constB34) | v116(constB34))) | v111(constB34)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31867, 31866])).
% 218.90/141.46 tff(31869,plain,
% 218.90/141.46 (~(v111(constB34) | v116(constB34))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31868, 31854])).
% 218.90/141.46 tff(31870,plain,
% 218.90/141.46 ((~(v110(constB34) <=> (v111(constB34) | v116(constB34)))) | (~v110(constB34)) | (v111(constB34) | v116(constB34))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31871,plain,
% 218.90/141.46 (~v110(constB34)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31870, 31869, 31802])).
% 218.90/141.46 tff(31872,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2)))))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31873,plain,
% 218.90/141.46 (v117(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2))))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31872, 656])).
% 218.90/141.46 tff(31874,plain,
% 218.90/141.46 ((v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2))) | (~v84(constB34, 1))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31875,plain,
% 218.90/141.46 (v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31874, 31820])).
% 218.90/141.46 tff(31876,plain,
% 218.90/141.46 ((~(v117(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2)))))) | (~v117(constB34)) | (~(v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2))))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31877,plain,
% 218.90/141.46 ((~(v117(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2)))))) | (~v117(constB34))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31876, 31875])).
% 218.90/141.46 tff(31878,plain,
% 218.90/141.46 (~v117(constB34)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31877, 31873])).
% 218.90/141.46 tff(31879,plain,
% 218.90/141.46 ((~(v110(constB34) | v117(constB34))) | v110(constB34) | v117(constB34)),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31880,plain,
% 218.90/141.46 ((~(v110(constB34) | v117(constB34))) | v110(constB34)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31879, 31878])).
% 218.90/141.46 tff(31881,plain,
% 218.90/141.46 (~(v110(constB34) | v117(constB34))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31880, 31871])).
% 218.90/141.46 tff(31882,plain,
% 218.90/141.46 ((~(v109(constB34) <=> (v110(constB34) | v117(constB34)))) | (~v109(constB34)) | (v110(constB34) | v117(constB34))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31883,plain,
% 218.90/141.46 (~v109(constB34)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31882, 31881, 31800])).
% 218.90/141.46 tff(31884,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0))))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31885,plain,
% 218.90/141.46 ((v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 0)) | (~v84(constB34, 2))))) <=> (v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0)))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31886,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 0)) | (~v84(constB34, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0))))))),
% 218.90/141.46 inference(monotonicity,[status(thm)],[31885])).
% 218.90/141.46 tff(31887,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 0)) | (~v84(constB34, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0))))))),
% 218.90/141.46 inference(transitivity,[status(thm)],[31886, 31884])).
% 218.90/141.46 tff(31888,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 0)) | (~v84(constB34, 2)))))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31889,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0)))))),
% 218.90/141.46 inference(modus_ponens,[status(thm)],[31888, 31887])).
% 218.90/141.46 tff(31890,plain,
% 218.90/141.46 (v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0))))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31889, 394])).
% 218.90/141.46 tff(31891,plain,
% 218.90/141.46 ((v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0))) | (~v84(constB34, 1))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31892,plain,
% 218.90/141.46 (v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31891, 31820])).
% 218.90/141.46 tff(31893,plain,
% 218.90/141.46 ((~(v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0)))))) | (~v118(constB34)) | (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0))))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31894,plain,
% 218.90/141.46 ((~(v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0)))))) | (~v118(constB34))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31893, 31892])).
% 218.90/141.46 tff(31895,plain,
% 218.90/141.46 (~v118(constB34)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31894, 31890])).
% 218.90/141.46 tff(31896,plain,
% 218.90/141.46 ((~(v109(constB34) | v118(constB34))) | v109(constB34) | v118(constB34)),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31897,plain,
% 218.90/141.46 ((~(v109(constB34) | v118(constB34))) | v109(constB34)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31896, 31895])).
% 218.90/141.46 tff(31898,plain,
% 218.90/141.46 (~(v109(constB34) | v118(constB34))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31897, 31883])).
% 218.90/141.46 tff(31899,plain,
% 218.90/141.46 ((~(v108(constB34) <=> (v109(constB34) | v118(constB34)))) | (~v108(constB34)) | (v109(constB34) | v118(constB34))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31900,plain,
% 218.90/141.46 (~v108(constB34)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31899, 31898, 31798])).
% 218.90/141.46 tff(31901,plain,
% 218.90/141.46 ((~(v108(constB34) | v119(constB34))) | v108(constB34) | v119(constB34)),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31902,plain,
% 218.90/141.46 (~(v108(constB34) | v119(constB34))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31901, 31900, 31796])).
% 218.90/141.46 tff(31903,plain,
% 218.90/141.46 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31904,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36')).
% 218.90/141.46 tff(31905,plain,
% 218.90/141.46 (nextState(constB36, constB37)),
% 218.90/141.46 inference(modus_ponens,[status(thm)],[31904, 31903])).
% 218.90/141.46 tff(31906,plain,
% 218.90/141.46 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37))))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31907,plain,
% 218.90/141.46 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37))))))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31908,plain,
% 218.90/141.46 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37)))))),
% 218.90/141.46 inference(modus_ponens,[status(thm)],[31907, 31906])).
% 218.90/141.46 tff(31909,plain,
% 218.90/141.46 (v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37))))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31908, 31905, 14])).
% 218.90/141.46 tff(31910,plain,
% 218.90/141.46 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31911,plain,
% 218.90/141.46 (((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37)))))) <=> ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31912,plain,
% 218.90/141.46 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))))),
% 218.90/141.46 inference(monotonicity,[status(thm)],[31911])).
% 218.90/141.46 tff(31913,plain,
% 218.90/141.46 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))),
% 218.90/141.46 inference(transitivity,[status(thm)],[31912, 31910])).
% 218.90/141.46 tff(31914,plain,
% 218.90/141.46 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37))))))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31915,plain,
% 218.90/141.46 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))),
% 218.90/141.46 inference(modus_ponens,[status(thm)],[31914, 31913])).
% 218.90/141.46 tff(31916,plain,
% 218.90/141.46 (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31915, 31905, 37])).
% 218.90/141.46 tff(31917,plain,
% 218.90/141.46 (((~v1(constB37)) | (~v96(constB37))) | v1(constB37)),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31918,plain,
% 218.90/141.46 ((~v1(constB37)) | (~v96(constB37))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31917, 29021])).
% 218.90/141.46 tff(31919,plain,
% 218.90/141.46 ((~(v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))) | (~v95(constB37)) | (~((~v1(constB37)) | (~v96(constB37))))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31920,plain,
% 218.90/141.46 ((~(v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))) | (~v95(constB37))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31919, 31918])).
% 218.90/141.46 tff(31921,plain,
% 218.90/141.46 (~v95(constB37)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31920, 31916])).
% 218.90/141.46 tff(31922,plain,
% 218.90/141.46 (((~v95(constB37)) | (~v104(constB37))) | v95(constB37)),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31923,plain,
% 218.90/141.46 ((~v95(constB37)) | (~v104(constB37))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31922, 31921])).
% 218.90/141.46 tff(31924,plain,
% 218.90/141.46 ((~(v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37)))))) | (~v94(constB37)) | (~((~v95(constB37)) | (~v104(constB37))))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31925,plain,
% 218.90/141.46 (~v94(constB37)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31924, 31923, 31909])).
% 218.90/141.46 tff(31926,plain,
% 218.90/141.46 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB37) | (~nextState(constB36, constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB37) | (~nextState(constB36, constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31927,plain,
% 218.90/141.46 ((v94(constB37) | (~nextState(constB36, constB37)) | ![B: $int] : ((v84(constB37, B) <=> v84(constB36, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB37) | (~nextState(constB36, constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31928,plain,
% 218.90/141.46 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB37) | (~nextState(constB36, constB37)) | ![B: $int] : ((v84(constB37, B) <=> v84(constB36, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB37) | (~nextState(constB36, constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))))),
% 218.90/141.46 inference(monotonicity,[status(thm)],[31927])).
% 218.90/141.46 tff(31929,plain,
% 218.90/141.46 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB37) | (~nextState(constB36, constB37)) | ![B: $int] : ((v84(constB37, B) <=> v84(constB36, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB37) | (~nextState(constB36, constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B))))),
% 218.90/141.46 inference(transitivity,[status(thm)],[31928, 31926])).
% 218.90/141.46 tff(31930,plain,
% 218.90/141.46 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB37) | (~nextState(constB36, constB37)) | ![B: $int] : ((v84(constB37, B) <=> v84(constB36, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31931,plain,
% 218.90/141.46 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB37) | (~nextState(constB36, constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))),
% 218.90/141.46 inference(modus_ponens,[status(thm)],[31930, 31929])).
% 218.90/141.46 tff(31932,plain,
% 218.90/141.46 (v94(constB37) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31931, 31905, 235])).
% 218.90/141.46 tff(31933,plain,
% 218.90/141.46 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31932, 31925])).
% 218.90/141.46 tff(31934,plain,
% 218.90/141.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 1) <=> v84(constB36, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 1) <=> v84(constB36, 1)))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31935,plain,
% 218.90/141.46 (($false | $false | (v84(constB37, 1) <=> v84(constB36, 1))) <=> (v84(constB37, 1) <=> v84(constB36, 1))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31936,plain,
% 218.90/141.46 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB37, 1) <=> v84(constB36, 1))) <=> ($false | $false | (v84(constB37, 1) <=> v84(constB36, 1)))),
% 218.90/141.46 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.46 tff(31937,plain,
% 218.90/141.46 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB37, 1) <=> v84(constB36, 1))) <=> (v84(constB37, 1) <=> v84(constB36, 1))),
% 218.90/141.46 inference(transitivity,[status(thm)],[31936, 31935])).
% 218.90/141.46 tff(31938,plain,
% 218.90/141.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB37, 1) <=> v84(constB36, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 1) <=> v84(constB36, 1)))),
% 218.90/141.46 inference(monotonicity,[status(thm)],[31937])).
% 218.90/141.46 tff(31939,plain,
% 218.90/141.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB37, 1) <=> v84(constB36, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 1) <=> v84(constB36, 1)))),
% 218.90/141.46 inference(transitivity,[status(thm)],[31938, 31934])).
% 218.90/141.46 tff(31940,plain,
% 218.90/141.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB37, 1) <=> v84(constB36, 1)))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31941,plain,
% 218.90/141.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 1) <=> v84(constB36, 1))),
% 218.90/141.46 inference(modus_ponens,[status(thm)],[31940, 31939])).
% 218.90/141.46 tff(31942,plain,
% 218.90/141.46 (v84(constB37, 1) <=> v84(constB36, 1)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31941, 31933])).
% 218.90/141.46 tff(31943,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB35) <=> (v108(constB35) | v119(constB35)))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31944,plain,
% 218.90/141.46 (v107(constB35) <=> (v108(constB35) | v119(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31943, 187])).
% 218.90/141.46 tff(31945,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1))))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31946,plain,
% 218.90/141.46 ((v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 1)) | (~v84(constB35, 2))))) <=> (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31947,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 1)) | (~v84(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1))))))),
% 218.90/141.46 inference(monotonicity,[status(thm)],[31946])).
% 218.90/141.46 tff(31948,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 1)) | (~v84(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1))))))),
% 218.90/141.46 inference(transitivity,[status(thm)],[31947, 31945])).
% 218.90/141.46 tff(31949,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 1)) | (~v84(constB35, 2)))))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31950,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))))),
% 218.90/141.46 inference(modus_ponens,[status(thm)],[31949, 31948])).
% 218.90/141.46 tff(31951,plain,
% 218.90/141.46 (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1))))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31950, 318])).
% 218.90/141.46 tff(31952,plain,
% 218.90/141.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 0) <=> v84(constB34, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 0) <=> v84(constB34, 0)))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31953,plain,
% 218.90/141.46 (($false | $false | (v84(constB35, 0) <=> v84(constB34, 0))) <=> (v84(constB35, 0) <=> v84(constB34, 0))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31954,plain,
% 218.90/141.46 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB35, 0) <=> v84(constB34, 0))) <=> ($false | $false | (v84(constB35, 0) <=> v84(constB34, 0)))),
% 218.90/141.46 inference(monotonicity,[status(thm)],[250, 249])).
% 218.90/141.46 tff(31955,plain,
% 218.90/141.46 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB35, 0) <=> v84(constB34, 0))) <=> (v84(constB35, 0) <=> v84(constB34, 0))),
% 218.90/141.46 inference(transitivity,[status(thm)],[31954, 31953])).
% 218.90/141.46 tff(31956,plain,
% 218.90/141.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB35, 0) <=> v84(constB34, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 0) <=> v84(constB34, 0)))),
% 218.90/141.46 inference(monotonicity,[status(thm)],[31955])).
% 218.90/141.46 tff(31957,plain,
% 218.90/141.46 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB35, 0) <=> v84(constB34, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 0) <=> v84(constB34, 0)))),
% 218.90/141.46 inference(transitivity,[status(thm)],[31956, 31952])).
% 218.90/141.46 tff(31958,plain,
% 218.90/141.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB35, 0) <=> v84(constB34, 0)))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31959,plain,
% 218.90/141.46 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 0) <=> v84(constB34, 0))),
% 218.90/141.46 inference(modus_ponens,[status(thm)],[31958, 31957])).
% 218.90/141.46 tff(31960,plain,
% 218.90/141.46 (v84(constB35, 0) <=> v84(constB34, 0)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31959, 31762])).
% 218.90/141.46 tff(31961,plain,
% 218.90/141.46 ((~(v84(constB35, 0) <=> v84(constB34, 0))) | v84(constB35, 0) | (~v84(constB34, 0))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31962,plain,
% 218.90/141.46 ((~(v84(constB35, 0) <=> v84(constB34, 0))) | v84(constB35, 0)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31961, 31791])).
% 218.90/141.46 tff(31963,plain,
% 218.90/141.46 (v84(constB35, 0)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31962, 31960])).
% 218.90/141.46 tff(31964,plain,
% 218.90/141.46 ((v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1))) | (~v84(constB35, 0))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31965,plain,
% 218.90/141.46 (v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31964, 31963])).
% 218.90/141.46 tff(31966,plain,
% 218.90/141.46 ((~(v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))))) | (~v119(constB35)) | (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1))))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31967,plain,
% 218.90/141.46 ((~(v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))))) | (~v119(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31966, 31965])).
% 218.90/141.46 tff(31968,plain,
% 218.90/141.46 (~v119(constB35)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31967, 31951])).
% 218.90/141.46 tff(31969,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB35) <=> (v109(constB35) | v118(constB35)))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31970,plain,
% 218.90/141.46 (v108(constB35) <=> (v109(constB35) | v118(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31969, 428])).
% 218.90/141.46 tff(31971,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB35) <=> (v110(constB35) | v117(constB35)))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31972,plain,
% 218.90/141.46 (v109(constB35) <=> (v110(constB35) | v117(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31971, 456])).
% 218.90/141.46 tff(31973,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB35) <=> (v111(constB35) | v116(constB35)))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31974,plain,
% 218.90/141.46 (v110(constB35) <=> (v111(constB35) | v116(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31973, 265])).
% 218.90/141.46 tff(31975,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB35) <=> (v112(constB35) | v115(constB35)))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31976,plain,
% 218.90/141.46 (v111(constB35) <=> (v112(constB35) | v115(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31975, 274])).
% 218.90/141.46 tff(31977,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB35) <=> (v113(constB35) | v114(constB35)))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31978,plain,
% 218.90/141.46 (v112(constB35) <=> (v113(constB35) | v114(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31977, 283])).
% 218.90/141.46 tff(31979,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31980,plain,
% 218.90/141.46 (v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31979, 298])).
% 218.90/141.46 tff(31981,plain,
% 218.90/141.46 ((~(v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))))) | (~v114(constB35)) | (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31982,plain,
% 218.90/141.46 ((~(v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))))) | (~v114(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31981, 31777])).
% 218.90/141.46 tff(31983,plain,
% 218.90/141.46 (~v114(constB35)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31982, 31980])).
% 218.90/141.46 tff(31984,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(31985,plain,
% 218.90/141.46 (v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31984, 597])).
% 218.90/141.46 tff(31986,plain,
% 218.90/141.46 ((v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)) | (~v84(constB35, 2))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31987,plain,
% 218.90/141.46 (v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31986, 31775])).
% 218.90/141.46 tff(31988,plain,
% 218.90/141.46 ((~(v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))))) | (~v113(constB35)) | (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31989,plain,
% 218.90/141.46 ((~(v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))))) | (~v113(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31988, 31987])).
% 218.90/141.46 tff(31990,plain,
% 218.90/141.46 (~v113(constB35)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31989, 31985])).
% 218.90/141.46 tff(31991,plain,
% 218.90/141.46 ((~(v113(constB35) | v114(constB35))) | v113(constB35) | v114(constB35)),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31992,plain,
% 218.90/141.46 (~(v113(constB35) | v114(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31991, 31990, 31983])).
% 218.90/141.46 tff(31993,plain,
% 218.90/141.46 ((~(v112(constB35) <=> (v113(constB35) | v114(constB35)))) | (~v112(constB35)) | (v113(constB35) | v114(constB35))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(31994,plain,
% 218.90/141.46 ((~(v112(constB35) <=> (v113(constB35) | v114(constB35)))) | (~v112(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31993, 31992])).
% 218.90/141.46 tff(31995,plain,
% 218.90/141.46 (~v112(constB35)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[31994, 31978])).
% 218.90/141.46 tff(31996,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31997,plain,
% 218.90/141.46 ((v115(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 2) | (~v84(constB35, 1))))) <=> (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(31998,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 2) | (~v84(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))))),
% 218.90/141.46 inference(monotonicity,[status(thm)],[31997])).
% 218.90/141.46 tff(31999,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 2) | (~v84(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))))),
% 218.90/141.46 inference(transitivity,[status(thm)],[31998, 31996])).
% 218.90/141.46 tff(32000,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 2) | (~v84(constB35, 1)))))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(32001,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))),
% 218.90/141.46 inference(modus_ponens,[status(thm)],[32000, 31999])).
% 218.90/141.46 tff(32002,plain,
% 218.90/141.46 (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32001, 622])).
% 218.90/141.46 tff(32003,plain,
% 218.90/141.46 ((v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))) | (~v84(constB35, 2))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(32004,plain,
% 218.90/141.46 (v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32003, 31775])).
% 218.90/141.46 tff(32005,plain,
% 218.90/141.46 ((~(v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))) | (~v115(constB35)) | (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(32006,plain,
% 218.90/141.46 ((~(v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))) | (~v115(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32005, 32004])).
% 218.90/141.46 tff(32007,plain,
% 218.90/141.46 (~v115(constB35)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32006, 32002])).
% 218.90/141.46 tff(32008,plain,
% 218.90/141.46 ((~(v112(constB35) | v115(constB35))) | v112(constB35) | v115(constB35)),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(32009,plain,
% 218.90/141.46 ((~(v112(constB35) | v115(constB35))) | v112(constB35)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32008, 32007])).
% 218.90/141.46 tff(32010,plain,
% 218.90/141.46 (~(v112(constB35) | v115(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32009, 31995])).
% 218.90/141.46 tff(32011,plain,
% 218.90/141.46 ((~(v111(constB35) <=> (v112(constB35) | v115(constB35)))) | (~v111(constB35)) | (v112(constB35) | v115(constB35))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(32012,plain,
% 218.90/141.46 (~v111(constB35)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32011, 32010, 31976])).
% 218.90/141.46 tff(32013,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(32014,plain,
% 218.90/141.46 ((v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 1)) | (~v84(constB35, 0))))) <=> (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(32015,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 1)) | (~v84(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))))))),
% 218.90/141.46 inference(monotonicity,[status(thm)],[32014])).
% 218.90/141.46 tff(32016,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 1)) | (~v84(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))))))),
% 218.90/141.46 inference(transitivity,[status(thm)],[32015, 32013])).
% 218.90/141.46 tff(32017,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 1)) | (~v84(constB35, 0)))))),
% 218.90/141.46 inference(quant_inst,[status(thm)],[])).
% 218.90/141.46 tff(32018,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))))),
% 218.90/141.46 inference(modus_ponens,[status(thm)],[32017, 32016])).
% 218.90/141.46 tff(32019,plain,
% 218.90/141.46 (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32018, 521])).
% 218.90/141.46 tff(32020,plain,
% 218.90/141.46 ((v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))) | (~v84(constB35, 2))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(32021,plain,
% 218.90/141.46 (v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32020, 31775])).
% 218.90/141.46 tff(32022,plain,
% 218.90/141.46 ((~(v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))))) | (~v116(constB35)) | (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(32023,plain,
% 218.90/141.46 ((~(v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))))) | (~v116(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32022, 32021])).
% 218.90/141.46 tff(32024,plain,
% 218.90/141.46 (~v116(constB35)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32023, 32019])).
% 218.90/141.46 tff(32025,plain,
% 218.90/141.46 ((~(v111(constB35) | v116(constB35))) | v111(constB35) | v116(constB35)),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(32026,plain,
% 218.90/141.46 ((~(v111(constB35) | v116(constB35))) | v111(constB35)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32025, 32024])).
% 218.90/141.46 tff(32027,plain,
% 218.90/141.46 (~(v111(constB35) | v116(constB35))),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32026, 32012])).
% 218.90/141.46 tff(32028,plain,
% 218.90/141.46 ((~(v110(constB35) <=> (v111(constB35) | v116(constB35)))) | (~v110(constB35)) | (v111(constB35) | v116(constB35))),
% 218.90/141.46 inference(tautology,[status(thm)],[])).
% 218.90/141.46 tff(32029,plain,
% 218.90/141.46 (~v110(constB35)),
% 218.90/141.46 inference(unit_resolution,[status(thm)],[32028, 32027, 31974])).
% 218.90/141.46 tff(32030,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(32031,plain,
% 218.90/141.46 ((v117(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | (~v84(constB35, 2))))) <=> (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))),
% 218.90/141.46 inference(rewrite,[status(thm)],[])).
% 218.90/141.46 tff(32032,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | (~v84(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))))),
% 218.90/141.46 inference(monotonicity,[status(thm)],[32031])).
% 218.90/141.46 tff(32033,plain,
% 218.90/141.46 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | (~v84(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))))),
% 218.90/141.46 inference(transitivity,[status(thm)],[32032, 32030])).
% 218.90/141.46 tff(32034,plain,
% 218.90/141.46 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | (~v84(constB35, 2)))))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32035,plain,
% 218.90/141.47 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))),
% 218.90/141.47 inference(modus_ponens,[status(thm)],[32034, 32033])).
% 218.90/141.47 tff(32036,plain,
% 218.90/141.47 (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32035, 656])).
% 218.90/141.47 tff(32037,plain,
% 218.90/141.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 1) <=> v84(constB34, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 1) <=> v84(constB34, 1)))),
% 218.90/141.47 inference(rewrite,[status(thm)],[])).
% 218.90/141.47 tff(32038,plain,
% 218.90/141.47 (($false | $false | (v84(constB35, 1) <=> v84(constB34, 1))) <=> (v84(constB35, 1) <=> v84(constB34, 1))),
% 218.90/141.47 inference(rewrite,[status(thm)],[])).
% 218.90/141.47 tff(32039,plain,
% 218.90/141.47 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB35, 1) <=> v84(constB34, 1))) <=> ($false | $false | (v84(constB35, 1) <=> v84(constB34, 1)))),
% 218.90/141.47 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.47 tff(32040,plain,
% 218.90/141.47 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB35, 1) <=> v84(constB34, 1))) <=> (v84(constB35, 1) <=> v84(constB34, 1))),
% 218.90/141.47 inference(transitivity,[status(thm)],[32039, 32038])).
% 218.90/141.47 tff(32041,plain,
% 218.90/141.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB35, 1) <=> v84(constB34, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 1) <=> v84(constB34, 1)))),
% 218.90/141.47 inference(monotonicity,[status(thm)],[32040])).
% 218.90/141.47 tff(32042,plain,
% 218.90/141.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB35, 1) <=> v84(constB34, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 1) <=> v84(constB34, 1)))),
% 218.90/141.47 inference(transitivity,[status(thm)],[32041, 32037])).
% 218.90/141.47 tff(32043,plain,
% 218.90/141.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB35, 1) <=> v84(constB34, 1)))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32044,plain,
% 218.90/141.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB35, B) <=> v84(constB34, B)))) | (v84(constB35, 1) <=> v84(constB34, 1))),
% 218.90/141.47 inference(modus_ponens,[status(thm)],[32043, 32042])).
% 218.90/141.47 tff(32045,plain,
% 218.90/141.47 (v84(constB35, 1) <=> v84(constB34, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32044, 31762])).
% 218.90/141.47 tff(32046,plain,
% 218.90/141.47 ((~(v84(constB35, 1) <=> v84(constB34, 1))) | v84(constB35, 1) | (~v84(constB34, 1))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32047,plain,
% 218.90/141.47 ((~(v84(constB35, 1) <=> v84(constB34, 1))) | v84(constB35, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32046, 31820])).
% 218.90/141.47 tff(32048,plain,
% 218.90/141.47 (v84(constB35, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32047, 32045])).
% 218.90/141.47 tff(32049,plain,
% 218.90/141.47 ((v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))) | (~v84(constB35, 1))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32050,plain,
% 218.90/141.47 (v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32049, 32048])).
% 218.90/141.47 tff(32051,plain,
% 218.90/141.47 ((~(v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))) | (~v117(constB35)) | (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32052,plain,
% 218.90/141.47 ((~(v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))) | (~v117(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32051, 32050])).
% 218.90/141.47 tff(32053,plain,
% 218.90/141.47 (~v117(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32052, 32036])).
% 218.90/141.47 tff(32054,plain,
% 218.90/141.47 ((~(v110(constB35) | v117(constB35))) | v110(constB35) | v117(constB35)),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32055,plain,
% 218.90/141.47 ((~(v110(constB35) | v117(constB35))) | v110(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32054, 32053])).
% 218.90/141.47 tff(32056,plain,
% 218.90/141.47 (~(v110(constB35) | v117(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32055, 32029])).
% 218.90/141.47 tff(32057,plain,
% 218.90/141.47 ((~(v109(constB35) <=> (v110(constB35) | v117(constB35)))) | (~v109(constB35)) | (v110(constB35) | v117(constB35))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32058,plain,
% 218.90/141.47 (~v109(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32057, 32056, 31972])).
% 218.90/141.47 tff(32059,plain,
% 218.90/141.47 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32060,plain,
% 218.90/141.47 (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32059, 394])).
% 218.90/141.47 tff(32061,plain,
% 218.90/141.47 ((v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))) | (~v84(constB35, 1))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32062,plain,
% 218.90/141.47 (v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32061, 32048])).
% 218.90/141.47 tff(32063,plain,
% 218.90/141.47 ((~(v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))))) | (~v118(constB35)) | (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32064,plain,
% 218.90/141.47 ((~(v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))))) | (~v118(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32063, 32062])).
% 218.90/141.47 tff(32065,plain,
% 218.90/141.47 (~v118(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32064, 32060])).
% 218.90/141.47 tff(32066,plain,
% 218.90/141.47 ((~(v109(constB35) | v118(constB35))) | v109(constB35) | v118(constB35)),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32067,plain,
% 218.90/141.47 ((~(v109(constB35) | v118(constB35))) | v109(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32066, 32065])).
% 218.90/141.47 tff(32068,plain,
% 218.90/141.47 (~(v109(constB35) | v118(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32067, 32058])).
% 218.90/141.47 tff(32069,plain,
% 218.90/141.47 ((~(v108(constB35) <=> (v109(constB35) | v118(constB35)))) | (~v108(constB35)) | (v109(constB35) | v118(constB35))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32070,plain,
% 218.90/141.47 (~v108(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32069, 32068, 31970])).
% 218.90/141.47 tff(32071,plain,
% 218.90/141.47 ((~(v108(constB35) | v119(constB35))) | v108(constB35) | v119(constB35)),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32072,plain,
% 218.90/141.47 (~(v108(constB35) | v119(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32071, 32070, 31968])).
% 218.90/141.47 tff(32073,plain,
% 218.90/141.47 ((~(v107(constB35) <=> (v108(constB35) | v119(constB35)))) | (~v107(constB35)) | (v108(constB35) | v119(constB35))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32074,plain,
% 218.90/141.47 (~v107(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32073, 32072, 31944])).
% 218.90/141.47 tff(32075,plain,
% 218.90/141.47 (((~v107(constB35)) | (~v120(constB35))) | v107(constB35)),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32076,plain,
% 218.90/141.47 ((~v107(constB35)) | (~v120(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32075, 32074])).
% 218.90/141.47 tff(32077,plain,
% 218.90/141.47 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB35) <=> (~((~v107(constB35)) | (~v120(constB35)))))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32078,plain,
% 218.90/141.47 (v106(constB35) <=> (~((~v107(constB35)) | (~v120(constB35))))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32077, 132])).
% 218.90/141.47 tff(32079,plain,
% 218.90/141.47 ((~(v106(constB35) <=> (~((~v107(constB35)) | (~v120(constB35)))))) | (~v106(constB35)) | (~((~v107(constB35)) | (~v120(constB35))))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32080,plain,
% 218.90/141.47 ((~v106(constB35)) | (~((~v107(constB35)) | (~v120(constB35))))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32079, 32078])).
% 218.90/141.47 tff(32081,plain,
% 218.90/141.47 (~v106(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32080, 32076])).
% 218.90/141.47 tff(32082,plain,
% 218.90/141.47 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB35) <=> v26(constB35))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32083,plain,
% 218.90/141.47 (v105(constB35) <=> v26(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32082, 156])).
% 218.90/141.47 tff(32084,plain,
% 218.90/141.47 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32085,plain,
% 218.90/141.47 (~v26(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32084, 168])).
% 218.90/141.47 tff(32086,plain,
% 218.90/141.47 ((~(v105(constB35) <=> v26(constB35))) | (~v105(constB35)) | v26(constB35)),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32087,plain,
% 218.90/141.47 ((~(v105(constB35) <=> v26(constB35))) | (~v105(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32086, 32085])).
% 218.90/141.47 tff(32088,plain,
% 218.90/141.47 (~v105(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32087, 32083])).
% 218.90/141.47 tff(32089,plain,
% 218.90/141.47 ((~(v105(constB35) | v106(constB35))) | v105(constB35) | v106(constB35)),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32090,plain,
% 218.90/141.47 ((~(v105(constB35) | v106(constB35))) | v106(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32089, 32088])).
% 218.90/141.47 tff(32091,plain,
% 218.90/141.47 (~(v105(constB35) | v106(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32090, 32081])).
% 218.90/141.47 tff(32092,plain,
% 218.90/141.47 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB35) <=> (v105(constB35) | v106(constB35)))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32093,plain,
% 218.90/141.47 (v102(constB35) <=> (v105(constB35) | v106(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32092, 115])).
% 218.90/141.47 tff(32094,plain,
% 218.90/141.47 ((~(v102(constB35) <=> (v105(constB35) | v106(constB35)))) | (~v102(constB35)) | (v105(constB35) | v106(constB35))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32095,plain,
% 218.90/141.47 ((~v102(constB35)) | (v105(constB35) | v106(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32094, 32093])).
% 218.90/141.47 tff(32096,plain,
% 218.90/141.47 (~v102(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32095, 32091])).
% 218.90/141.47 tff(32097,plain,
% 218.90/141.47 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 218.90/141.47 inference(rewrite,[status(thm)],[])).
% 218.90/141.47 tff(32098,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35')).
% 218.90/141.47 tff(32099,plain,
% 218.90/141.47 (nextState(constB35, constB36)),
% 218.90/141.47 inference(modus_ponens,[status(thm)],[32098, 32097])).
% 218.90/141.47 tff(32100,plain,
% 218.90/141.47 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35)))),
% 218.90/141.47 inference(rewrite,[status(thm)],[])).
% 218.90/141.47 tff(32101,plain,
% 218.90/141.47 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35)))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32102,plain,
% 218.90/141.47 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35))),
% 218.90/141.47 inference(modus_ponens,[status(thm)],[32101, 32100])).
% 218.90/141.47 tff(32103,plain,
% 218.90/141.47 (v104(constB36) <=> v102(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32102, 32099, 101])).
% 218.90/141.47 tff(32104,plain,
% 218.90/141.47 ((~(v104(constB36) <=> v102(constB35))) | (~v104(constB36)) | v102(constB35)),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32105,plain,
% 218.90/141.47 ((~v104(constB36)) | v102(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32104, 32103])).
% 218.90/141.47 tff(32106,plain,
% 218.90/141.47 (~v104(constB36)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32105, 32096])).
% 218.90/141.47 tff(32107,plain,
% 218.90/141.47 (((~v95(constB36)) | (~v104(constB36))) | v104(constB36)),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32108,plain,
% 218.90/141.47 ((~v95(constB36)) | (~v104(constB36))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32107, 32106])).
% 218.90/141.47 tff(32109,plain,
% 218.90/141.47 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36))))))),
% 218.90/141.47 inference(rewrite,[status(thm)],[])).
% 218.90/141.47 tff(32110,plain,
% 218.90/141.47 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36))))))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32111,plain,
% 218.90/141.47 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36)))))),
% 218.90/141.47 inference(modus_ponens,[status(thm)],[32110, 32109])).
% 218.90/141.47 tff(32112,plain,
% 218.90/141.47 (v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36))))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32111, 32099, 14])).
% 218.90/141.47 tff(32113,plain,
% 218.90/141.47 ((~(v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36)))))) | (~v94(constB36)) | (~((~v95(constB36)) | (~v104(constB36))))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32114,plain,
% 218.90/141.47 ((~v94(constB36)) | (~((~v95(constB36)) | (~v104(constB36))))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32113, 32112])).
% 218.90/141.47 tff(32115,plain,
% 218.90/141.47 (~v94(constB36)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32114, 32108])).
% 218.90/141.47 tff(32116,plain,
% 218.90/141.47 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB36) | (~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB36) | (~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B))))),
% 218.90/141.47 inference(rewrite,[status(thm)],[])).
% 218.90/141.47 tff(32117,plain,
% 218.90/141.47 ((v94(constB36) | (~nextState(constB35, constB36)) | ![B: $int] : ((v84(constB36, B) <=> v84(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB36) | (~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B))))),
% 218.90/141.47 inference(rewrite,[status(thm)],[])).
% 218.90/141.47 tff(32118,plain,
% 218.90/141.47 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB36) | (~nextState(constB35, constB36)) | ![B: $int] : ((v84(constB36, B) <=> v84(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB36) | (~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))))),
% 218.90/141.47 inference(monotonicity,[status(thm)],[32117])).
% 218.90/141.47 tff(32119,plain,
% 218.90/141.47 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB36) | (~nextState(constB35, constB36)) | ![B: $int] : ((v84(constB36, B) <=> v84(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB36) | (~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B))))),
% 218.90/141.47 inference(transitivity,[status(thm)],[32118, 32116])).
% 218.90/141.47 tff(32120,plain,
% 218.90/141.47 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB36) | (~nextState(constB35, constB36)) | ![B: $int] : ((v84(constB36, B) <=> v84(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32121,plain,
% 218.90/141.47 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB36) | (~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))),
% 218.90/141.47 inference(modus_ponens,[status(thm)],[32120, 32119])).
% 218.90/141.47 tff(32122,plain,
% 218.90/141.47 (v94(constB36) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32121, 32099, 235])).
% 218.90/141.47 tff(32123,plain,
% 218.90/141.47 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32122, 32115])).
% 218.90/141.47 tff(32124,plain,
% 218.90/141.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 1) <=> v84(constB35, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 1) <=> v84(constB35, 1)))),
% 218.90/141.47 inference(rewrite,[status(thm)],[])).
% 218.90/141.47 tff(32125,plain,
% 218.90/141.47 (($false | $false | (v84(constB36, 1) <=> v84(constB35, 1))) <=> (v84(constB36, 1) <=> v84(constB35, 1))),
% 218.90/141.47 inference(rewrite,[status(thm)],[])).
% 218.90/141.47 tff(32126,plain,
% 218.90/141.47 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB36, 1) <=> v84(constB35, 1))) <=> ($false | $false | (v84(constB36, 1) <=> v84(constB35, 1)))),
% 218.90/141.47 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.47 tff(32127,plain,
% 218.90/141.47 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB36, 1) <=> v84(constB35, 1))) <=> (v84(constB36, 1) <=> v84(constB35, 1))),
% 218.90/141.47 inference(transitivity,[status(thm)],[32126, 32125])).
% 218.90/141.47 tff(32128,plain,
% 218.90/141.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB36, 1) <=> v84(constB35, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 1) <=> v84(constB35, 1)))),
% 218.90/141.47 inference(monotonicity,[status(thm)],[32127])).
% 218.90/141.47 tff(32129,plain,
% 218.90/141.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB36, 1) <=> v84(constB35, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 1) <=> v84(constB35, 1)))),
% 218.90/141.47 inference(transitivity,[status(thm)],[32128, 32124])).
% 218.90/141.47 tff(32130,plain,
% 218.90/141.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB36, 1) <=> v84(constB35, 1)))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32131,plain,
% 218.90/141.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 1) <=> v84(constB35, 1))),
% 218.90/141.47 inference(modus_ponens,[status(thm)],[32130, 32129])).
% 218.90/141.47 tff(32132,plain,
% 218.90/141.47 (v84(constB36, 1) <=> v84(constB35, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32131, 32123])).
% 218.90/141.47 tff(32133,plain,
% 218.90/141.47 ((~(v84(constB36, 1) <=> v84(constB35, 1))) | v84(constB36, 1) | (~v84(constB35, 1))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32134,plain,
% 218.90/141.47 ((~(v84(constB36, 1) <=> v84(constB35, 1))) | v84(constB36, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32133, 32048])).
% 218.90/141.47 tff(32135,plain,
% 218.90/141.47 (v84(constB36, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32134, 32132])).
% 218.90/141.47 tff(32136,plain,
% 218.90/141.47 ((~(v84(constB37, 1) <=> v84(constB36, 1))) | v84(constB37, 1) | (~v84(constB36, 1))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32137,plain,
% 218.90/141.47 ((~(v84(constB37, 1) <=> v84(constB36, 1))) | v84(constB37, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32136, 32135])).
% 218.90/141.47 tff(32138,plain,
% 218.90/141.47 (v84(constB37, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32137, 31942])).
% 218.90/141.47 tff(32139,plain,
% 218.90/141.47 ((v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))) | (~v84(constB37, 1))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32140,plain,
% 218.90/141.47 (v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32139, 32138])).
% 218.90/141.47 tff(32141,assumption,(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))), introduced(assumption)).
% 218.90/141.47 tff(32142,plain,
% 218.90/141.47 ((~(v114(constB37) <=> (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))))) | (~v114(constB37)) | (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32143,plain,
% 218.90/141.47 ((~(v114(constB37) <=> (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))))) | (~v114(constB37))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32142, 32141])).
% 218.90/141.47 tff(32144,plain,
% 218.90/141.47 (~v114(constB37)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32143, 28924])).
% 218.90/141.47 tff(32145,plain,
% 218.90/141.47 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2))))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32146,plain,
% 218.90/141.47 (v113(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32145, 597])).
% 218.90/141.47 tff(32147,plain,
% 218.90/141.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 0) <=> v84(constB36, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 0) <=> v84(constB36, 0)))),
% 218.90/141.47 inference(rewrite,[status(thm)],[])).
% 218.90/141.47 tff(32148,plain,
% 218.90/141.47 (($false | $false | (v84(constB37, 0) <=> v84(constB36, 0))) <=> (v84(constB37, 0) <=> v84(constB36, 0))),
% 218.90/141.47 inference(rewrite,[status(thm)],[])).
% 218.90/141.47 tff(32149,plain,
% 218.90/141.47 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB37, 0) <=> v84(constB36, 0))) <=> ($false | $false | (v84(constB37, 0) <=> v84(constB36, 0)))),
% 218.90/141.47 inference(monotonicity,[status(thm)],[250, 249])).
% 218.90/141.47 tff(32150,plain,
% 218.90/141.47 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB37, 0) <=> v84(constB36, 0))) <=> (v84(constB37, 0) <=> v84(constB36, 0))),
% 218.90/141.47 inference(transitivity,[status(thm)],[32149, 32148])).
% 218.90/141.47 tff(32151,plain,
% 218.90/141.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB37, 0) <=> v84(constB36, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 0) <=> v84(constB36, 0)))),
% 218.90/141.47 inference(monotonicity,[status(thm)],[32150])).
% 218.90/141.47 tff(32152,plain,
% 218.90/141.47 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB37, 0) <=> v84(constB36, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 0) <=> v84(constB36, 0)))),
% 218.90/141.47 inference(transitivity,[status(thm)],[32151, 32147])).
% 218.90/141.47 tff(32153,plain,
% 218.90/141.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB37, 0) <=> v84(constB36, 0)))),
% 218.90/141.47 inference(quant_inst,[status(thm)],[])).
% 218.90/141.47 tff(32154,plain,
% 218.90/141.47 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 0) <=> v84(constB36, 0))),
% 218.90/141.47 inference(modus_ponens,[status(thm)],[32153, 32152])).
% 218.90/141.47 tff(32155,plain,
% 218.90/141.47 (v84(constB37, 0) <=> v84(constB36, 0)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32154, 31933])).
% 218.90/141.47 tff(32156,assumption,(~(v108(constB34) | v119(constB34))), introduced(assumption)).
% 218.90/141.47 tff(32157,plain,
% 218.90/141.47 ((v108(constB34) | v119(constB34)) | (~v108(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32158,plain,
% 218.90/141.47 (~v108(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32157, 32156])).
% 218.90/141.47 tff(32159,plain,
% 218.90/141.47 ((~(v108(constB34) <=> (v109(constB34) | v118(constB34)))) | v108(constB34) | (~(v109(constB34) | v118(constB34)))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32160,plain,
% 218.90/141.47 ((~(v108(constB34) <=> (v109(constB34) | v118(constB34)))) | (~(v109(constB34) | v118(constB34)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32159, 32158])).
% 218.90/141.47 tff(32161,plain,
% 218.90/141.47 (~(v109(constB34) | v118(constB34))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32160, 31798])).
% 218.90/141.47 tff(32162,plain,
% 218.90/141.47 ((v109(constB34) | v118(constB34)) | (~v109(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32163,plain,
% 218.90/141.47 (~v109(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32162, 32161])).
% 218.90/141.47 tff(32164,plain,
% 218.90/141.47 ((~(v109(constB34) <=> (v110(constB34) | v117(constB34)))) | v109(constB34) | (~(v110(constB34) | v117(constB34)))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32165,plain,
% 218.90/141.47 ((~(v109(constB34) <=> (v110(constB34) | v117(constB34)))) | (~(v110(constB34) | v117(constB34)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32164, 32163])).
% 218.90/141.47 tff(32166,plain,
% 218.90/141.47 (~(v110(constB34) | v117(constB34))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32165, 31800])).
% 218.90/141.47 tff(32167,plain,
% 218.90/141.47 ((v110(constB34) | v117(constB34)) | (~v117(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32168,plain,
% 218.90/141.47 (~v117(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32167, 32166])).
% 218.90/141.47 tff(32169,plain,
% 218.90/141.47 ((~(v117(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2)))))) | v117(constB34) | (v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2)))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32170,plain,
% 218.90/141.47 ((~(v117(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2)))))) | (v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32169, 32168])).
% 218.90/141.47 tff(32171,plain,
% 218.90/141.47 (v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32170, 31873])).
% 218.90/141.47 tff(32172,plain,
% 218.90/141.47 ((v110(constB34) | v117(constB34)) | (~v110(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32173,plain,
% 218.90/141.47 (~v110(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32172, 32166])).
% 218.90/141.47 tff(32174,plain,
% 218.90/141.47 ((~(v110(constB34) <=> (v111(constB34) | v116(constB34)))) | v110(constB34) | (~(v111(constB34) | v116(constB34)))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32175,plain,
% 218.90/141.47 ((~(v110(constB34) <=> (v111(constB34) | v116(constB34)))) | (~(v111(constB34) | v116(constB34)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32174, 32173])).
% 218.90/141.47 tff(32176,plain,
% 218.90/141.47 (~(v111(constB34) | v116(constB34))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32175, 31802])).
% 218.90/141.47 tff(32177,plain,
% 218.90/141.47 ((v111(constB34) | v116(constB34)) | (~v111(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32178,plain,
% 218.90/141.47 (~v111(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32177, 32176])).
% 218.90/141.47 tff(32179,plain,
% 218.90/141.47 ((~(v111(constB34) <=> (v112(constB34) | v115(constB34)))) | v111(constB34) | (~(v112(constB34) | v115(constB34)))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32180,plain,
% 218.90/141.47 ((~(v111(constB34) <=> (v112(constB34) | v115(constB34)))) | (~(v112(constB34) | v115(constB34)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32179, 32178])).
% 218.90/141.47 tff(32181,plain,
% 218.90/141.47 (~(v112(constB34) | v115(constB34))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32180, 31804])).
% 218.90/141.47 tff(32182,plain,
% 218.90/141.47 ((v112(constB34) | v115(constB34)) | (~v112(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32183,plain,
% 218.90/141.47 (~v112(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32182, 32181])).
% 218.90/141.47 tff(32184,plain,
% 218.90/141.47 ((~(v112(constB34) <=> (v113(constB34) | v114(constB34)))) | v112(constB34) | (~(v113(constB34) | v114(constB34)))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32185,plain,
% 218.90/141.47 ((~(v112(constB34) <=> (v113(constB34) | v114(constB34)))) | (~(v113(constB34) | v114(constB34)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32184, 32183])).
% 218.90/141.47 tff(32186,plain,
% 218.90/141.47 (~(v113(constB34) | v114(constB34))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32185, 31806])).
% 218.90/141.47 tff(32187,plain,
% 218.90/141.47 ((v113(constB34) | v114(constB34)) | (~v113(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32188,plain,
% 218.90/141.47 (~v113(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32187, 32186])).
% 218.90/141.47 tff(32189,plain,
% 218.90/141.47 ((~(v113(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2))))) | v113(constB34) | (v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32190,plain,
% 218.90/141.47 ((~(v113(constB34) <=> (~(v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2))))) | (v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32189, 32188])).
% 218.90/141.47 tff(32191,plain,
% 218.90/141.47 (v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32190, 31827])).
% 218.90/141.47 tff(32192,plain,
% 218.90/141.47 ((v108(constB34) | v119(constB34)) | (~v119(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32193,plain,
% 218.90/141.47 (~v119(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32192, 32156])).
% 218.90/141.47 tff(32194,plain,
% 218.90/141.47 ((~(v119(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2)))))) | v119(constB34) | (v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2)))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32195,plain,
% 218.90/141.47 ((~(v119(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2)))))) | (v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32194, 32193])).
% 218.90/141.47 tff(32196,plain,
% 218.90/141.47 (v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32195, 31779])).
% 218.90/141.47 tff(32197,plain,
% 218.90/141.47 ((v112(constB34) | v115(constB34)) | (~v115(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32198,plain,
% 218.90/141.47 (~v115(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32197, 32181])).
% 218.90/141.47 tff(32199,plain,
% 218.90/141.47 ((~(v115(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2))))) | v115(constB34) | (v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32200,plain,
% 218.90/141.47 ((~(v115(constB34) <=> (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2))))) | (v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32199, 32198])).
% 218.90/141.47 tff(32201,plain,
% 218.90/141.47 (v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32200, 31844])).
% 218.90/141.47 tff(32202,assumption,(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2)), introduced(assumption)).
% 218.90/141.47 tff(32203,assumption,(~v84(constB34, 0)), introduced(assumption)).
% 218.90/141.47 tff(32204,assumption,(v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2))), introduced(assumption)).
% 218.90/141.47 tff(32205,assumption,(v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2)), introduced(assumption)).
% 218.90/141.47 tff(32206,assumption,(~v84(constB34, 1)), introduced(assumption)).
% 218.90/141.47 tff(32207,plain,
% 218.90/141.47 ((~(v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2)))) | v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32208,plain,
% 218.90/141.47 (~v84(constB34, 2)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32207, 32206, 32203, 32204])).
% 218.90/141.47 tff(32209,plain,
% 218.90/141.47 ((~(v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2))) | v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2)),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32210,plain,
% 218.90/141.47 ($false),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32209, 32208, 32206, 32203, 32205])).
% 218.90/141.47 tff(32211,plain,(v84(constB34, 1) | v84(constB34, 0) | (~(v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2))) | (~(v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.47 tff(32212,plain,
% 218.90/141.47 (v84(constB34, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32211, 32203, 32205, 32204])).
% 218.90/141.47 tff(32213,assumption,(v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2))), introduced(assumption)).
% 218.90/141.47 tff(32214,plain,
% 218.90/141.47 ((~(v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2)))) | v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32215,plain,
% 218.90/141.47 (~v84(constB34, 2)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32214, 32212, 32203, 32213])).
% 218.90/141.47 tff(32216,plain,
% 218.90/141.47 ((~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2))) | v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2)),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32217,plain,
% 218.90/141.47 ($false),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32216, 32215, 32212, 32203, 32202])).
% 218.90/141.47 tff(32218,plain,(v84(constB34, 0) | (~(v84(constB34, 0) | (~v84(constB34, 1)) | v84(constB34, 2))) | (~(v84(constB34, 0) | (~v84(constB34, 1)) | (~v84(constB34, 2)))) | (~(v84(constB34, 0) | v84(constB34, 1) | v84(constB34, 2))) | (~(v84(constB34, 0) | v84(constB34, 1) | (~v84(constB34, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.47 tff(32219,plain,
% 218.90/141.47 (v84(constB34, 0)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32218, 32201, 32196, 32191, 32171])).
% 218.90/141.47 tff(32220,plain,
% 218.90/141.47 ((~(v84(constB35, 0) <=> v84(constB34, 0))) | v84(constB35, 0)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[31961, 32219])).
% 218.90/141.47 tff(32221,plain,
% 218.90/141.47 (v84(constB35, 0)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32220, 31960])).
% 218.90/141.47 tff(32222,plain,
% 218.90/141.47 (v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[31964, 32221])).
% 218.90/141.47 tff(32223,plain,
% 218.90/141.47 ((~(v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))))) | (~v119(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[31966, 32222])).
% 218.90/141.47 tff(32224,plain,
% 218.90/141.47 (~v119(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32223, 31951])).
% 218.90/141.47 tff(32225,plain,
% 218.90/141.47 ((v109(constB34) | v118(constB34)) | (~v118(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32226,plain,
% 218.90/141.47 (~v118(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32225, 32161])).
% 218.90/141.47 tff(32227,plain,
% 218.90/141.47 ((~(v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0)))))) | v118(constB34) | (v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0)))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32228,plain,
% 218.90/141.47 ((~(v118(constB34) <=> (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0)))))) | (v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32227, 32226])).
% 218.90/141.47 tff(32229,plain,
% 218.90/141.47 (v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32228, 31890])).
% 218.90/141.47 tff(32230,plain,
% 218.90/141.47 ((v113(constB34) | v114(constB34)) | (~v114(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32231,plain,
% 218.90/141.47 (~v114(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32230, 32186])).
% 218.90/141.47 tff(32232,plain,
% 218.90/141.47 ((~(v114(constB34) <=> (~(v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0)))))) | v114(constB34) | (v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0)))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32233,plain,
% 218.90/141.47 ((~(v114(constB34) <=> (~(v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0)))))) | (v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32232, 32231])).
% 218.90/141.47 tff(32234,plain,
% 218.90/141.47 (v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32233, 31808])).
% 218.90/141.47 tff(32235,assumption,(v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0))), introduced(assumption)).
% 218.90/141.47 tff(32236,assumption,(v84(constB34, 0)), introduced(assumption)).
% 218.90/141.47 tff(32237,assumption,(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0))), introduced(assumption)).
% 218.90/141.47 tff(32238,plain,
% 218.90/141.47 ((~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0)))) | v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32239,plain,
% 218.90/141.47 (~v84(constB34, 2)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32238, 32206, 32236, 32237])).
% 218.90/141.47 tff(32240,plain,
% 218.90/141.47 ((~(v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0)))) | v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32241,plain,
% 218.90/141.47 ($false),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32240, 32239, 32206, 32236, 32235])).
% 218.90/141.47 tff(32242,plain,(v84(constB34, 1) | (~v84(constB34, 0)) | (~(v84(constB34, 1) | v84(constB34, 2) | (~v84(constB34, 0)))) | (~(v84(constB34, 1) | (~v84(constB34, 2)) | (~v84(constB34, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.47 tff(32243,plain,
% 218.90/141.47 (v84(constB34, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32242, 32219, 32234, 32229])).
% 218.90/141.47 tff(32244,plain,
% 218.90/141.47 ((~(v84(constB35, 1) <=> v84(constB34, 1))) | v84(constB35, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32046, 32243])).
% 218.90/141.47 tff(32245,plain,
% 218.90/141.47 (v84(constB35, 1)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32244, 32045])).
% 218.90/141.47 tff(32246,plain,
% 218.90/141.47 (v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32061, 32245])).
% 218.90/141.47 tff(32247,plain,
% 218.90/141.47 (~v118(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32063, 32246, 32060])).
% 218.90/141.47 tff(32248,assumption,(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))), introduced(assumption)).
% 218.90/141.47 tff(32249,plain,
% 218.90/141.47 ((~(v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))))) | (~v114(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[31981, 32248])).
% 218.90/141.47 tff(32250,plain,
% 218.90/141.47 (~v114(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32249, 31980])).
% 218.90/141.47 tff(32251,plain,
% 218.90/141.47 ((v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)) | (~v84(constB35, 0))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32252,plain,
% 218.90/141.47 (v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32251, 32221])).
% 218.90/141.47 tff(32253,plain,
% 218.90/141.47 ((~(v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))))) | (~v113(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[31988, 32252])).
% 218.90/141.47 tff(32254,plain,
% 218.90/141.47 (~v113(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32253, 31985])).
% 218.90/141.47 tff(32255,plain,
% 218.90/141.47 (~(v113(constB35) | v114(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[31991, 32254, 32250])).
% 218.90/141.47 tff(32256,plain,
% 218.90/141.47 ((~(v112(constB35) <=> (v113(constB35) | v114(constB35)))) | (~v112(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[31993, 32255])).
% 218.90/141.47 tff(32257,plain,
% 218.90/141.47 (~v112(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32256, 31978])).
% 218.90/141.47 tff(32258,plain,
% 218.90/141.47 ((v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))) | (~v84(constB35, 0))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32259,plain,
% 218.90/141.47 (v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32258, 32221])).
% 218.90/141.47 tff(32260,plain,
% 218.90/141.47 ((~(v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))) | (~v115(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32005, 32259])).
% 218.90/141.47 tff(32261,plain,
% 218.90/141.47 (~v115(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32260, 32002])).
% 218.90/141.47 tff(32262,plain,
% 218.90/141.47 ((~(v112(constB35) | v115(constB35))) | v112(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32008, 32261])).
% 218.90/141.47 tff(32263,plain,
% 218.90/141.47 (~(v112(constB35) | v115(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32262, 32257])).
% 218.90/141.47 tff(32264,plain,
% 218.90/141.47 (~v111(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32011, 32263, 31976])).
% 218.90/141.47 tff(32265,plain,
% 218.90/141.47 (v84(constB35, 2) <=> v84(constB34, 2)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[31770, 31762])).
% 218.90/141.47 tff(32266,plain,
% 218.90/141.47 ((v111(constB34) | v116(constB34)) | (~v116(constB34))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32267,plain,
% 218.90/141.47 (~v116(constB34)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32266, 32176])).
% 218.90/141.47 tff(32268,plain,
% 218.90/141.47 ((~(v116(constB34) <=> (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0)))))) | v116(constB34) | ((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0)))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32269,plain,
% 218.90/141.47 ((~(v116(constB34) <=> (~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0)))))) | ((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0)))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32268, 32267])).
% 218.90/141.47 tff(32270,plain,
% 218.90/141.47 ((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32269, 31861])).
% 218.90/141.47 tff(32271,plain,
% 218.90/141.47 ((~((~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0)))) | (~v84(constB34, 1)) | v84(constB34, 2) | (~v84(constB34, 0))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32272,plain,
% 218.90/141.47 (v84(constB34, 2)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32271, 32243, 32219, 32270])).
% 218.90/141.47 tff(32273,plain,
% 218.90/141.47 ((~(v84(constB35, 2) <=> v84(constB34, 2))) | v84(constB35, 2)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[31773, 32272])).
% 218.90/141.47 tff(32274,plain,
% 218.90/141.47 (v84(constB35, 2)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32273, 32265])).
% 218.90/141.47 tff(32275,plain,
% 218.90/141.47 (v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32020, 32274])).
% 218.90/141.47 tff(32276,plain,
% 218.90/141.47 (~v116(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32022, 32275, 32019])).
% 218.90/141.47 tff(32277,plain,
% 218.90/141.47 (~(v111(constB35) | v116(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32025, 32276, 32264])).
% 218.90/141.47 tff(32278,plain,
% 218.90/141.47 (~v110(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32028, 32277, 31974])).
% 218.90/141.47 tff(32279,plain,
% 218.90/141.47 ((v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))) | (~v84(constB35, 0))),
% 218.90/141.47 inference(tautology,[status(thm)],[])).
% 218.90/141.47 tff(32280,plain,
% 218.90/141.47 (v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32279, 32221])).
% 218.90/141.47 tff(32281,plain,
% 218.90/141.47 ((~(v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))) | (~v117(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32051, 32280])).
% 218.90/141.47 tff(32282,plain,
% 218.90/141.47 (~v117(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32281, 32036])).
% 218.90/141.47 tff(32283,plain,
% 218.90/141.47 ((~(v110(constB35) | v117(constB35))) | v110(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32054, 32282])).
% 218.90/141.47 tff(32284,plain,
% 218.90/141.47 (~(v110(constB35) | v117(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32283, 32278])).
% 218.90/141.47 tff(32285,plain,
% 218.90/141.47 (~v109(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32057, 32284, 31972])).
% 218.90/141.47 tff(32286,plain,
% 218.90/141.47 (~(v109(constB35) | v118(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32066, 32285, 32247])).
% 218.90/141.47 tff(32287,plain,
% 218.90/141.47 (~v108(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32069, 32286, 31970])).
% 218.90/141.47 tff(32288,plain,
% 218.90/141.47 (~(v108(constB35) | v119(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32071, 32287, 32224])).
% 218.90/141.47 tff(32289,plain,
% 218.90/141.47 (~v107(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32073, 32288, 31944])).
% 218.90/141.47 tff(32290,plain,
% 218.90/141.47 ((~v107(constB35)) | (~v120(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32075, 32289])).
% 218.90/141.47 tff(32291,plain,
% 218.90/141.47 (~v106(constB35)),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32080, 32290])).
% 218.90/141.47 tff(32292,plain,
% 218.90/141.47 (~(v105(constB35) | v106(constB35))),
% 218.90/141.47 inference(unit_resolution,[status(thm)],[32090, 32291])).
% 218.90/141.48 tff(32293,plain,
% 218.90/141.48 (~v102(constB35)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32095, 32292])).
% 218.90/141.48 tff(32294,plain,
% 218.90/141.48 (~v104(constB36)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32105, 32293])).
% 218.90/141.48 tff(32295,plain,
% 218.90/141.48 ((~v95(constB36)) | (~v104(constB36))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32107, 32294])).
% 218.90/141.48 tff(32296,plain,
% 218.90/141.48 (~v94(constB36)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32114, 32295])).
% 218.90/141.48 tff(32297,plain,
% 218.90/141.48 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32122, 32296])).
% 218.90/141.48 tff(32298,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 0) <=> v84(constB35, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 0) <=> v84(constB35, 0)))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32299,plain,
% 218.90/141.48 (($false | $false | (v84(constB36, 0) <=> v84(constB35, 0))) <=> (v84(constB36, 0) <=> v84(constB35, 0))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32300,plain,
% 218.90/141.48 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB36, 0) <=> v84(constB35, 0))) <=> ($false | $false | (v84(constB36, 0) <=> v84(constB35, 0)))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[250, 249])).
% 218.90/141.48 tff(32301,plain,
% 218.90/141.48 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB36, 0) <=> v84(constB35, 0))) <=> (v84(constB36, 0) <=> v84(constB35, 0))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32300, 32299])).
% 218.90/141.48 tff(32302,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB36, 0) <=> v84(constB35, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 0) <=> v84(constB35, 0)))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[32301])).
% 218.90/141.48 tff(32303,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB36, 0) <=> v84(constB35, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 0) <=> v84(constB35, 0)))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32302, 32298])).
% 218.90/141.48 tff(32304,plain,
% 218.90/141.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB36, 0) <=> v84(constB35, 0)))),
% 218.90/141.48 inference(quant_inst,[status(thm)],[])).
% 218.90/141.48 tff(32305,plain,
% 218.90/141.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 0) <=> v84(constB35, 0))),
% 218.90/141.48 inference(modus_ponens,[status(thm)],[32304, 32303])).
% 218.90/141.48 tff(32306,plain,
% 218.90/141.48 (v84(constB36, 0) <=> v84(constB35, 0)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32305, 32297])).
% 218.90/141.48 tff(32307,plain,
% 218.90/141.48 ((~(v84(constB36, 0) <=> v84(constB35, 0))) | v84(constB36, 0) | (~v84(constB35, 0))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32308,plain,
% 218.90/141.48 ((~(v84(constB36, 0) <=> v84(constB35, 0))) | v84(constB36, 0)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32307, 32221])).
% 218.90/141.48 tff(32309,plain,
% 218.90/141.48 (v84(constB36, 0)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32308, 32306])).
% 218.90/141.48 tff(32310,plain,
% 218.90/141.48 ((~(v84(constB37, 0) <=> v84(constB36, 0))) | v84(constB37, 0) | (~v84(constB36, 0))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32311,plain,
% 218.90/141.48 ((~(v84(constB37, 0) <=> v84(constB36, 0))) | v84(constB37, 0)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32310, 32309])).
% 218.90/141.48 tff(32312,plain,
% 218.90/141.48 (v84(constB37, 0)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32311, 32155])).
% 218.90/141.48 tff(32313,plain,
% 218.90/141.48 ((v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2)) | (~v84(constB37, 0))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32314,plain,
% 218.90/141.48 (v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32313, 32312])).
% 218.90/141.48 tff(32315,plain,
% 218.90/141.48 ((~(v113(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2))))) | (~v113(constB37)) | (~(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2)))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32316,plain,
% 218.90/141.48 ((~(v113(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2))))) | (~v113(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32315, 32314])).
% 218.90/141.48 tff(32317,plain,
% 218.90/141.48 (~v113(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32316, 32146])).
% 218.90/141.48 tff(32318,plain,
% 218.90/141.48 ((~(v113(constB37) | v114(constB37))) | v113(constB37) | v114(constB37)),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32319,plain,
% 218.90/141.48 (~(v113(constB37) | v114(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32318, 32317, 32144])).
% 218.90/141.48 tff(32320,plain,
% 218.90/141.48 ((~(v112(constB37) <=> (v113(constB37) | v114(constB37)))) | (~v112(constB37)) | (v113(constB37) | v114(constB37))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32321,plain,
% 218.90/141.48 ((~(v112(constB37) <=> (v113(constB37) | v114(constB37)))) | (~v112(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32320, 32319])).
% 218.90/141.48 tff(32322,plain,
% 218.90/141.48 (~v112(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32321, 28922])).
% 218.90/141.48 tff(32323,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0)))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32324,plain,
% 218.90/141.48 ((v115(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 2) | (~v84(constB37, 1))))) <=> (v115(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32325,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 2) | (~v84(constB37, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0)))))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[32324])).
% 218.90/141.48 tff(32326,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 2) | (~v84(constB37, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0)))))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32325, 32323])).
% 218.90/141.48 tff(32327,plain,
% 218.90/141.48 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 2) | (~v84(constB37, 1)))))),
% 218.90/141.48 inference(quant_inst,[status(thm)],[])).
% 218.90/141.48 tff(32328,plain,
% 218.90/141.48 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0))))),
% 218.90/141.48 inference(modus_ponens,[status(thm)],[32327, 32326])).
% 218.90/141.48 tff(32329,plain,
% 218.90/141.48 (v115(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0)))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32328, 622])).
% 218.90/141.48 tff(32330,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 2) <=> v84(constB36, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 2) <=> v84(constB36, 2)))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32331,plain,
% 218.90/141.48 (($false | $false | (v84(constB37, 2) <=> v84(constB36, 2))) <=> (v84(constB37, 2) <=> v84(constB36, 2))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32332,plain,
% 218.90/141.48 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB37, 2) <=> v84(constB36, 2))) <=> ($false | $false | (v84(constB37, 2) <=> v84(constB36, 2)))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[534, 533])).
% 218.90/141.48 tff(32333,plain,
% 218.90/141.48 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB37, 2) <=> v84(constB36, 2))) <=> (v84(constB37, 2) <=> v84(constB36, 2))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32332, 32331])).
% 218.90/141.48 tff(32334,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB37, 2) <=> v84(constB36, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 2) <=> v84(constB36, 2)))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[32333])).
% 218.90/141.48 tff(32335,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB37, 2) <=> v84(constB36, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 2) <=> v84(constB36, 2)))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32334, 32330])).
% 218.90/141.48 tff(32336,plain,
% 218.90/141.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB37, 2) <=> v84(constB36, 2)))),
% 218.90/141.48 inference(quant_inst,[status(thm)],[])).
% 218.90/141.48 tff(32337,plain,
% 218.90/141.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB37, B) <=> v84(constB36, B)))) | (v84(constB37, 2) <=> v84(constB36, 2))),
% 218.90/141.48 inference(modus_ponens,[status(thm)],[32336, 32335])).
% 218.90/141.48 tff(32338,plain,
% 218.90/141.48 (v84(constB37, 2) <=> v84(constB36, 2)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32337, 31933])).
% 218.90/141.48 tff(32339,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 2) <=> v84(constB35, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 2) <=> v84(constB35, 2)))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32340,plain,
% 218.90/141.48 (($false | $false | (v84(constB36, 2) <=> v84(constB35, 2))) <=> (v84(constB36, 2) <=> v84(constB35, 2))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32341,plain,
% 218.90/141.48 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB36, 2) <=> v84(constB35, 2))) <=> ($false | $false | (v84(constB36, 2) <=> v84(constB35, 2)))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[534, 533])).
% 218.90/141.48 tff(32342,plain,
% 218.90/141.48 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB36, 2) <=> v84(constB35, 2))) <=> (v84(constB36, 2) <=> v84(constB35, 2))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32341, 32340])).
% 218.90/141.48 tff(32343,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB36, 2) <=> v84(constB35, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 2) <=> v84(constB35, 2)))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[32342])).
% 218.90/141.48 tff(32344,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB36, 2) <=> v84(constB35, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 2) <=> v84(constB35, 2)))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32343, 32339])).
% 218.90/141.48 tff(32345,plain,
% 218.90/141.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB36, 2) <=> v84(constB35, 2)))),
% 218.90/141.48 inference(quant_inst,[status(thm)],[])).
% 218.90/141.48 tff(32346,plain,
% 218.90/141.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))) | (v84(constB36, 2) <=> v84(constB35, 2))),
% 218.90/141.48 inference(modus_ponens,[status(thm)],[32345, 32344])).
% 218.90/141.48 tff(32347,plain,
% 218.90/141.48 (v84(constB36, 2) <=> v84(constB35, 2)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32346, 32297])).
% 218.90/141.48 tff(32348,plain,
% 218.90/141.48 ((~(v84(constB36, 2) <=> v84(constB35, 2))) | v84(constB36, 2) | (~v84(constB35, 2))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32349,plain,
% 218.90/141.48 ((~(v84(constB36, 2) <=> v84(constB35, 2))) | v84(constB36, 2)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32348, 32274])).
% 218.90/141.48 tff(32350,plain,
% 218.90/141.48 (v84(constB36, 2)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32349, 32347])).
% 218.90/141.48 tff(32351,plain,
% 218.90/141.48 ((~(v84(constB37, 2) <=> v84(constB36, 2))) | v84(constB37, 2) | (~v84(constB36, 2))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32352,plain,
% 218.90/141.48 ((~(v84(constB37, 2) <=> v84(constB36, 2))) | v84(constB37, 2)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32351, 32350])).
% 218.90/141.48 tff(32353,plain,
% 218.90/141.48 (v84(constB37, 2)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32352, 32338])).
% 218.90/141.48 tff(32354,plain,
% 218.90/141.48 (((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0)) | (~v84(constB37, 2))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32355,plain,
% 218.90/141.48 ((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32354, 32353])).
% 218.90/141.48 tff(32356,plain,
% 218.90/141.48 ((~(v115(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0))))) | (~v115(constB37)) | (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0)))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32357,plain,
% 218.90/141.48 ((~(v115(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0))))) | (~v115(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32356, 32355])).
% 218.90/141.48 tff(32358,plain,
% 218.90/141.48 (~v115(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32357, 32329])).
% 218.90/141.48 tff(32359,plain,
% 218.90/141.48 ((~(v112(constB37) | v115(constB37))) | v112(constB37) | v115(constB37)),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32360,plain,
% 218.90/141.48 ((~(v112(constB37) | v115(constB37))) | v112(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32359, 32358])).
% 218.90/141.48 tff(32361,plain,
% 218.90/141.48 (~(v112(constB37) | v115(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32360, 32322])).
% 218.90/141.48 tff(32362,plain,
% 218.90/141.48 ((~(v111(constB37) <=> (v112(constB37) | v115(constB37)))) | (~v111(constB37)) | (v112(constB37) | v115(constB37))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32363,plain,
% 218.90/141.48 (~v111(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32362, 32361, 28920])).
% 218.90/141.48 tff(32364,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0))))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32365,plain,
% 218.90/141.48 ((v116(constB37) <=> (~(v84(constB37, 2) | (~v84(constB37, 1)) | (~v84(constB37, 0))))) <=> (v116(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0)))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32366,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB37) <=> (~(v84(constB37, 2) | (~v84(constB37, 1)) | (~v84(constB37, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0))))))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[32365])).
% 218.90/141.48 tff(32367,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB37) <=> (~(v84(constB37, 2) | (~v84(constB37, 1)) | (~v84(constB37, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0))))))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32366, 32364])).
% 218.90/141.48 tff(32368,plain,
% 218.90/141.48 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB37) <=> (~(v84(constB37, 2) | (~v84(constB37, 1)) | (~v84(constB37, 0)))))),
% 218.90/141.48 inference(quant_inst,[status(thm)],[])).
% 218.90/141.48 tff(32369,plain,
% 218.90/141.48 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0)))))),
% 218.90/141.48 inference(modus_ponens,[status(thm)],[32368, 32367])).
% 218.90/141.48 tff(32370,plain,
% 218.90/141.48 (v116(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0))))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32369, 521])).
% 218.90/141.48 tff(32371,plain,
% 218.90/141.48 (((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0))) | (~v84(constB37, 2))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32372,plain,
% 218.90/141.48 ((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32371, 32353])).
% 218.90/141.48 tff(32373,plain,
% 218.90/141.48 ((~(v116(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0)))))) | (~v116(constB37)) | (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0))))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32374,plain,
% 218.90/141.48 ((~(v116(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0)))))) | (~v116(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32373, 32372])).
% 218.90/141.48 tff(32375,plain,
% 218.90/141.48 (~v116(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32374, 32370])).
% 218.90/141.48 tff(32376,plain,
% 218.90/141.48 ((~(v111(constB37) | v116(constB37))) | v111(constB37) | v116(constB37)),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32377,plain,
% 218.90/141.48 ((~(v111(constB37) | v116(constB37))) | v111(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32376, 32375])).
% 218.90/141.48 tff(32378,plain,
% 218.90/141.48 (~(v111(constB37) | v116(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32377, 32363])).
% 218.90/141.48 tff(32379,plain,
% 218.90/141.48 (v108(constB37) <=> (v109(constB37) | v118(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[28916, 428])).
% 218.90/141.48 tff(32380,assumption,(v108(constB37) | v119(constB37)), introduced(assumption)).
% 218.90/141.48 tff(32381,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB37) <=> (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB37) <=> (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0)))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32382,plain,
% 218.90/141.48 ((v119(constB37) <=> (~(v84(constB37, 0) | (~v84(constB37, 1)) | (~v84(constB37, 2))))) <=> (v119(constB37) <=> (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32383,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB37) <=> (~(v84(constB37, 0) | (~v84(constB37, 1)) | (~v84(constB37, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB37) <=> (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0)))))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[32382])).
% 218.90/141.48 tff(32384,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB37) <=> (~(v84(constB37, 0) | (~v84(constB37, 1)) | (~v84(constB37, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB37) <=> (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0)))))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32383, 32381])).
% 218.90/141.48 tff(32385,plain,
% 218.90/141.48 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB37) <=> (~(v84(constB37, 0) | (~v84(constB37, 1)) | (~v84(constB37, 2)))))),
% 218.90/141.48 inference(quant_inst,[status(thm)],[])).
% 218.90/141.48 tff(32386,plain,
% 218.90/141.48 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB37) <=> (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0))))),
% 218.90/141.48 inference(modus_ponens,[status(thm)],[32385, 32384])).
% 218.90/141.48 tff(32387,plain,
% 218.90/141.48 (v119(constB37) <=> (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0)))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32386, 318])).
% 218.90/141.48 tff(32388,plain,
% 218.90/141.48 (((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0)) | (~v84(constB37, 0))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32389,plain,
% 218.90/141.48 ((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32388, 32312])).
% 218.90/141.48 tff(32390,plain,
% 218.90/141.48 ((~(v119(constB37) <=> (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0))))) | (~v119(constB37)) | (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0)))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32391,plain,
% 218.90/141.48 ((~(v119(constB37) <=> (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0))))) | (~v119(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32390, 32389])).
% 218.90/141.48 tff(32392,plain,
% 218.90/141.48 (~v119(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32391, 32387])).
% 218.90/141.48 tff(32393,plain,
% 218.90/141.48 ((~(v108(constB37) | v119(constB37))) | v108(constB37) | v119(constB37)),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32394,plain,
% 218.90/141.48 (v108(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32393, 32392, 32380])).
% 218.90/141.48 tff(32395,plain,
% 218.90/141.48 ((~(v108(constB37) <=> (v109(constB37) | v118(constB37)))) | (~v108(constB37)) | (v109(constB37) | v118(constB37))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32396,plain,
% 218.90/141.48 ((~(v108(constB37) <=> (v109(constB37) | v118(constB37)))) | (v109(constB37) | v118(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32395, 32394])).
% 218.90/141.48 tff(32397,plain,
% 218.90/141.48 (v109(constB37) | v118(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32396, 32379])).
% 218.90/141.48 tff(32398,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32399,plain,
% 218.90/141.48 ((v118(constB37) <=> (~(v84(constB37, 1) | (~v84(constB37, 0)) | (~v84(constB37, 2))))) <=> (v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32400,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB37) <=> (~(v84(constB37, 1) | (~v84(constB37, 0)) | (~v84(constB37, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))))))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[32399])).
% 218.90/141.48 tff(32401,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB37) <=> (~(v84(constB37, 1) | (~v84(constB37, 0)) | (~v84(constB37, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))))))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32400, 32398])).
% 218.90/141.48 tff(32402,plain,
% 218.90/141.48 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB37) <=> (~(v84(constB37, 1) | (~v84(constB37, 0)) | (~v84(constB37, 2)))))),
% 218.90/141.48 inference(quant_inst,[status(thm)],[])).
% 218.90/141.48 tff(32403,plain,
% 218.90/141.48 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))))),
% 218.90/141.48 inference(modus_ponens,[status(thm)],[32402, 32401])).
% 218.90/141.48 tff(32404,plain,
% 218.90/141.48 (v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32403, 394])).
% 218.90/141.48 tff(32405,plain,
% 218.90/141.48 (v84(constB36, 1) <=> v84(constB35, 1)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32131, 32297])).
% 218.90/141.48 tff(32406,plain,
% 218.90/141.48 ((~(v84(constB36, 1) <=> v84(constB35, 1))) | v84(constB36, 1)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32133, 32245])).
% 218.90/141.48 tff(32407,plain,
% 218.90/141.48 (v84(constB36, 1)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32406, 32405])).
% 218.90/141.48 tff(32408,plain,
% 218.90/141.48 ((~(v84(constB37, 1) <=> v84(constB36, 1))) | v84(constB37, 1)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32136, 32407])).
% 218.90/141.48 tff(32409,plain,
% 218.90/141.48 (v84(constB37, 1)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32408, 31942])).
% 218.90/141.48 tff(32410,plain,
% 218.90/141.48 (((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))) | (~v84(constB37, 1))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32411,plain,
% 218.90/141.48 ((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32410, 32409])).
% 218.90/141.48 tff(32412,plain,
% 218.90/141.48 ((~(v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))))) | (~v118(constB37)) | (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32413,plain,
% 218.90/141.48 ((~(v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))))) | (~v118(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32412, 32411])).
% 218.90/141.48 tff(32414,plain,
% 218.90/141.48 (~v118(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32413, 32404])).
% 218.90/141.48 tff(32415,plain,
% 218.90/141.48 ((~(v109(constB37) | v118(constB37))) | v109(constB37) | v118(constB37)),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32416,plain,
% 218.90/141.48 ((~(v109(constB37) | v118(constB37))) | v109(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32415, 32414])).
% 218.90/141.48 tff(32417,plain,
% 218.90/141.48 (v109(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32416, 32397])).
% 218.90/141.48 tff(32418,plain,
% 218.90/141.48 ((~(v109(constB37) <=> (v110(constB37) | v117(constB37)))) | (~v109(constB37)) | (v110(constB37) | v117(constB37))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32419,plain,
% 218.90/141.48 (v110(constB37) | v117(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32418, 32417, 28940])).
% 218.90/141.48 tff(32420,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0)))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32421,plain,
% 218.90/141.48 ((v117(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 1) | (~v84(constB37, 2))))) <=> (v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32422,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 1) | (~v84(constB37, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0)))))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[32421])).
% 218.90/141.48 tff(32423,plain,
% 218.90/141.48 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 1) | (~v84(constB37, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0)))))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32422, 32420])).
% 218.90/141.48 tff(32424,plain,
% 218.90/141.48 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 1) | (~v84(constB37, 2)))))),
% 218.90/141.48 inference(quant_inst,[status(thm)],[])).
% 218.90/141.48 tff(32425,plain,
% 218.90/141.48 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))))),
% 218.90/141.48 inference(modus_ponens,[status(thm)],[32424, 32423])).
% 218.90/141.48 tff(32426,plain,
% 218.90/141.48 (v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0)))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32425, 656])).
% 218.90/141.48 tff(32427,plain,
% 218.90/141.48 (((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0)) | (~v84(constB37, 1))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32428,plain,
% 218.90/141.48 ((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32427, 32409])).
% 218.90/141.48 tff(32429,plain,
% 218.90/141.48 ((~(v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))))) | (~v117(constB37)) | (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0)))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32430,plain,
% 218.90/141.48 ((~(v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))))) | (~v117(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32429, 32428])).
% 218.90/141.48 tff(32431,plain,
% 218.90/141.48 (~v117(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32430, 32426])).
% 218.90/141.48 tff(32432,plain,
% 218.90/141.48 ((~(v110(constB37) | v117(constB37))) | v110(constB37) | v117(constB37)),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32433,plain,
% 218.90/141.48 ((~(v110(constB37) | v117(constB37))) | v110(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32432, 32431])).
% 218.90/141.48 tff(32434,plain,
% 218.90/141.48 (v110(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32433, 32419])).
% 218.90/141.48 tff(32435,plain,
% 218.90/141.48 ((~(v110(constB37) <=> (v111(constB37) | v116(constB37)))) | (~v110(constB37)) | (v111(constB37) | v116(constB37))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32436,plain,
% 218.90/141.48 ($false),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32435, 32434, 32378, 28938])).
% 218.90/141.48 tff(32437,plain,((v108(constB34) | v119(constB34)) | (~(v108(constB37) | v119(constB37))) | (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))) | (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.48 tff(32438,plain,
% 218.90/141.48 (~(v108(constB37) | v119(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32437, 32140, 31902, 31777])).
% 218.90/141.48 tff(32439,plain,
% 218.90/141.48 ((~(v107(constB37) <=> (v108(constB37) | v119(constB37)))) | (~v107(constB37)) | (v108(constB37) | v119(constB37))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32440,plain,
% 218.90/141.48 ((~(v107(constB37) <=> (v108(constB37) | v119(constB37)))) | (~v107(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32439, 32438])).
% 218.90/141.48 tff(32441,plain,
% 218.90/141.48 (~v107(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32440, 28963])).
% 218.90/141.48 tff(32442,plain,
% 218.90/141.48 (((~v107(constB37)) | (~v120(constB37))) | v107(constB37)),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32443,plain,
% 218.90/141.48 ((~v107(constB37)) | (~v120(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32442, 32441])).
% 218.90/141.48 tff(32444,plain,
% 218.90/141.48 ((~(v106(constB37) <=> (~((~v107(constB37)) | (~v120(constB37)))))) | (~v106(constB37)) | (~((~v107(constB37)) | (~v120(constB37))))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32445,plain,
% 218.90/141.48 ((~v106(constB37)) | (~((~v107(constB37)) | (~v120(constB37))))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32444, 28983])).
% 218.90/141.48 tff(32446,plain,
% 218.90/141.48 (~v106(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32445, 32443])).
% 218.90/141.48 tff(32447,plain,
% 218.90/141.48 ((~(v105(constB37) | v106(constB37))) | v105(constB37) | v106(constB37)),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32448,plain,
% 218.90/141.48 ((~(v105(constB37) | v106(constB37))) | v106(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32447, 28975])).
% 218.90/141.48 tff(32449,plain,
% 218.90/141.48 (~(v105(constB37) | v106(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32448, 32446])).
% 218.90/141.48 tff(32450,plain,
% 218.90/141.48 ((~(v102(constB37) <=> (v105(constB37) | v106(constB37)))) | (~v102(constB37)) | (v105(constB37) | v106(constB37))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32451,plain,
% 218.90/141.48 ((~v102(constB37)) | (v105(constB37) | v106(constB37))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32450, 28990])).
% 218.90/141.48 tff(32452,plain,
% 218.90/141.48 (~v102(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32451, 32449])).
% 218.90/141.48 tff(32453,plain,
% 218.90/141.48 ((~(v104(constB38) <=> v102(constB37))) | (~v104(constB38)) | v102(constB37)),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32454,plain,
% 218.90/141.48 ((~v104(constB38)) | v102(constB37)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32453, 29000])).
% 218.90/141.48 tff(32455,plain,
% 218.90/141.48 (~v104(constB38)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32454, 32452])).
% 218.90/141.48 tff(32456,plain,
% 218.90/141.48 (((~v95(constB38)) | (~v104(constB38))) | v104(constB38)),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32457,plain,
% 218.90/141.48 ((~v95(constB38)) | (~v104(constB38))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32456, 32455])).
% 218.90/141.48 tff(32458,plain,
% 218.90/141.48 ((~(v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38)))))) | (~v94(constB38)) | (~((~v95(constB38)) | (~v104(constB38))))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.48 tff(32459,plain,
% 218.90/141.48 ((~v94(constB38)) | (~((~v95(constB38)) | (~v104(constB38))))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32458, 29041])).
% 218.90/141.48 tff(32460,plain,
% 218.90/141.48 (~v94(constB38)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32459, 32457])).
% 218.90/141.48 tff(32461,plain,
% 218.90/141.48 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB38) | (~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB38) | (~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32462,plain,
% 218.90/141.48 ((v94(constB38) | (~nextState(constB37, constB38)) | ![B: $int] : ((v84(constB38, B) <=> v84(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB38) | (~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B))))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32463,plain,
% 218.90/141.48 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB38) | (~nextState(constB37, constB38)) | ![B: $int] : ((v84(constB38, B) <=> v84(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB38) | (~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[32462])).
% 218.90/141.48 tff(32464,plain,
% 218.90/141.48 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB38) | (~nextState(constB37, constB38)) | ![B: $int] : ((v84(constB38, B) <=> v84(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB38) | (~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B))))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32463, 32461])).
% 218.90/141.48 tff(32465,plain,
% 218.90/141.48 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB38) | (~nextState(constB37, constB38)) | ![B: $int] : ((v84(constB38, B) <=> v84(constB37, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.48 inference(quant_inst,[status(thm)],[])).
% 218.90/141.48 tff(32466,plain,
% 218.90/141.48 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB38) | (~nextState(constB37, constB38)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))),
% 218.90/141.48 inference(modus_ponens,[status(thm)],[32465, 32464])).
% 218.90/141.48 tff(32467,plain,
% 218.90/141.48 (v94(constB38) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32466, 28996, 235])).
% 218.90/141.48 tff(32468,plain,
% 218.90/141.48 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32467, 32460])).
% 218.90/141.48 tff(32469,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 1) <=> v84(constB37, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 1) <=> v84(constB37, 1)))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32470,plain,
% 218.90/141.48 (($false | $false | (v84(constB38, 1) <=> v84(constB37, 1))) <=> (v84(constB38, 1) <=> v84(constB37, 1))),
% 218.90/141.48 inference(rewrite,[status(thm)],[])).
% 218.90/141.48 tff(32471,plain,
% 218.90/141.48 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB38, 1) <=> v84(constB37, 1))) <=> ($false | $false | (v84(constB38, 1) <=> v84(constB37, 1)))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.48 tff(32472,plain,
% 218.90/141.48 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB38, 1) <=> v84(constB37, 1))) <=> (v84(constB38, 1) <=> v84(constB37, 1))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32471, 32470])).
% 218.90/141.48 tff(32473,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB38, 1) <=> v84(constB37, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 1) <=> v84(constB37, 1)))),
% 218.90/141.48 inference(monotonicity,[status(thm)],[32472])).
% 218.90/141.48 tff(32474,plain,
% 218.90/141.48 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB38, 1) <=> v84(constB37, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 1) <=> v84(constB37, 1)))),
% 218.90/141.48 inference(transitivity,[status(thm)],[32473, 32469])).
% 218.90/141.48 tff(32475,plain,
% 218.90/141.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB38, 1) <=> v84(constB37, 1)))),
% 218.90/141.48 inference(quant_inst,[status(thm)],[])).
% 218.90/141.48 tff(32476,plain,
% 218.90/141.48 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 1) <=> v84(constB37, 1))),
% 218.90/141.48 inference(modus_ponens,[status(thm)],[32475, 32474])).
% 218.90/141.48 tff(32477,plain,
% 218.90/141.48 (v84(constB38, 1) <=> v84(constB37, 1)),
% 218.90/141.48 inference(unit_resolution,[status(thm)],[32476, 32468])).
% 218.90/141.48 tff(32478,plain,
% 218.90/141.48 ((~(v84(constB38, 1) <=> v84(constB37, 1))) | v84(constB38, 1) | (~v84(constB37, 1))),
% 218.90/141.48 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32479,plain,
% 218.90/141.49 ((~(v84(constB38, 1) <=> v84(constB37, 1))) | v84(constB38, 1)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32478, 32138])).
% 218.90/141.49 tff(32480,plain,
% 218.90/141.49 (v84(constB38, 1)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32479, 32477])).
% 218.90/141.49 tff(32481,plain,
% 218.90/141.49 ((~(v84(constB39, 1) <=> v84(constB38, 1))) | v84(constB39, 1)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[29245, 32480])).
% 218.90/141.49 tff(32482,plain,
% 218.90/141.49 (v84(constB39, 1)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32481, 29196])).
% 218.90/141.49 tff(32483,plain,
% 218.90/141.49 ((v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0))) | (~v84(constB39, 1))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32484,plain,
% 218.90/141.49 (v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32483, 32482])).
% 218.90/141.49 tff(32485,plain,
% 218.90/141.49 ((~(v114(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0)))))) | (~v114(constB39)) | (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0))))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32486,plain,
% 218.90/141.49 ((~(v114(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0)))))) | (~v114(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32485, 32484])).
% 218.90/141.49 tff(32487,plain,
% 218.90/141.49 (~v114(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32486, 29518])).
% 218.90/141.49 tff(32488,plain,
% 218.90/141.49 ((v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)) | (~v84(constB39, 1))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32489,plain,
% 218.90/141.49 (v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32488, 32482])).
% 218.90/141.49 tff(32490,plain,
% 218.90/141.49 ((~(v113(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2))))) | (~v113(constB39)) | (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32491,plain,
% 218.90/141.49 ((~(v113(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2))))) | (~v113(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32490, 32489])).
% 218.90/141.49 tff(32492,plain,
% 218.90/141.49 (~v113(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32491, 29415])).
% 218.90/141.49 tff(32493,plain,
% 218.90/141.49 ((~(v113(constB39) | v114(constB39))) | v113(constB39) | v114(constB39)),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32494,plain,
% 218.90/141.49 (~(v113(constB39) | v114(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32493, 32492, 32487])).
% 218.90/141.49 tff(32495,plain,
% 218.90/141.49 ((~(v112(constB39) <=> (v113(constB39) | v114(constB39)))) | (~v112(constB39)) | (v113(constB39) | v114(constB39))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32496,plain,
% 218.90/141.49 ((~(v112(constB39) <=> (v113(constB39) | v114(constB39)))) | (~v112(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32495, 32494])).
% 218.90/141.49 tff(32497,plain,
% 218.90/141.49 (~v112(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32496, 29417])).
% 218.90/141.49 tff(32498,plain,
% 218.90/141.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 2) <=> v84(constB37, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 2) <=> v84(constB37, 2)))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32499,plain,
% 218.90/141.49 (($false | $false | (v84(constB38, 2) <=> v84(constB37, 2))) <=> (v84(constB38, 2) <=> v84(constB37, 2))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32500,plain,
% 218.90/141.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB38, 2) <=> v84(constB37, 2))) <=> ($false | $false | (v84(constB38, 2) <=> v84(constB37, 2)))),
% 218.90/141.49 inference(monotonicity,[status(thm)],[534, 533])).
% 218.90/141.49 tff(32501,plain,
% 218.90/141.49 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB38, 2) <=> v84(constB37, 2))) <=> (v84(constB38, 2) <=> v84(constB37, 2))),
% 218.90/141.49 inference(transitivity,[status(thm)],[32500, 32499])).
% 218.90/141.49 tff(32502,plain,
% 218.90/141.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB38, 2) <=> v84(constB37, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 2) <=> v84(constB37, 2)))),
% 218.90/141.49 inference(monotonicity,[status(thm)],[32501])).
% 218.90/141.49 tff(32503,plain,
% 218.90/141.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB38, 2) <=> v84(constB37, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 2) <=> v84(constB37, 2)))),
% 218.90/141.49 inference(transitivity,[status(thm)],[32502, 32498])).
% 218.90/141.49 tff(32504,plain,
% 218.90/141.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB38, 2) <=> v84(constB37, 2)))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32505,plain,
% 218.90/141.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 2) <=> v84(constB37, 2))),
% 218.90/141.49 inference(modus_ponens,[status(thm)],[32504, 32503])).
% 218.90/141.49 tff(32506,plain,
% 218.90/141.49 (v84(constB38, 2) <=> v84(constB37, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32505, 32468])).
% 218.90/141.49 tff(32507,plain,
% 218.90/141.49 (v84(constB36, 2) <=> v84(constB35, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32346, 32123])).
% 218.90/141.49 tff(32508,plain,
% 218.90/141.49 ((~(v84(constB36, 2) <=> v84(constB35, 2))) | v84(constB36, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32348, 31775])).
% 218.90/141.49 tff(32509,plain,
% 218.90/141.49 (v84(constB36, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32508, 32507])).
% 218.90/141.49 tff(32510,plain,
% 218.90/141.49 ((~(v84(constB37, 2) <=> v84(constB36, 2))) | v84(constB37, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32351, 32509])).
% 218.90/141.49 tff(32511,plain,
% 218.90/141.49 (v84(constB37, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32510, 32338])).
% 218.90/141.49 tff(32512,plain,
% 218.90/141.49 ((~(v84(constB38, 2) <=> v84(constB37, 2))) | v84(constB38, 2) | (~v84(constB37, 2))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32513,plain,
% 218.90/141.49 ((~(v84(constB38, 2) <=> v84(constB37, 2))) | v84(constB38, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32512, 32511])).
% 218.90/141.49 tff(32514,plain,
% 218.90/141.49 (v84(constB38, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32513, 32506])).
% 218.90/141.49 tff(32515,plain,
% 218.90/141.49 ((~(v84(constB39, 2) <=> v84(constB38, 2))) | v84(constB39, 2) | (~v84(constB38, 2))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32516,plain,
% 218.90/141.49 ((~(v84(constB39, 2) <=> v84(constB38, 2))) | v84(constB39, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32515, 32514])).
% 218.90/141.49 tff(32517,plain,
% 218.90/141.49 (v84(constB39, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32516, 29136])).
% 218.90/141.49 tff(32518,plain,
% 218.90/141.49 (v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[29252, 32517])).
% 218.90/141.49 tff(32519,plain,
% 218.90/141.49 ((~(v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))) | (~v115(constB39)) | (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32520,plain,
% 218.90/141.49 ((~(v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))) | (~v115(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32519, 32518])).
% 218.90/141.49 tff(32521,plain,
% 218.90/141.49 (~v115(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32520, 29441])).
% 218.90/141.49 tff(32522,plain,
% 218.90/141.49 ((~(v112(constB39) | v115(constB39))) | v112(constB39) | v115(constB39)),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32523,plain,
% 218.90/141.49 ((~(v112(constB39) | v115(constB39))) | v112(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32522, 32521])).
% 218.90/141.49 tff(32524,plain,
% 218.90/141.49 (~(v112(constB39) | v115(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32523, 32497])).
% 218.90/141.49 tff(32525,plain,
% 218.90/141.49 ((~(v111(constB39) <=> (v112(constB39) | v115(constB39)))) | (~v111(constB39)) | (v112(constB39) | v115(constB39))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32526,plain,
% 218.90/141.49 (~v111(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32525, 32524, 29419])).
% 218.90/141.49 tff(32527,plain,
% 218.90/141.49 ((v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1))) | (~v84(constB39, 2))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32528,plain,
% 218.90/141.49 (v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32527, 32517])).
% 218.90/141.49 tff(32529,plain,
% 218.90/141.49 ((~(v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1)))))) | (~v116(constB39)) | (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1))))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32530,plain,
% 218.90/141.49 ((~(v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1)))))) | (~v116(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32529, 32528])).
% 218.90/141.49 tff(32531,plain,
% 218.90/141.49 (~v116(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32530, 29338])).
% 218.90/141.49 tff(32532,plain,
% 218.90/141.49 ((~(v111(constB39) | v116(constB39))) | v111(constB39) | v116(constB39)),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32533,plain,
% 218.90/141.49 ((~(v111(constB39) | v116(constB39))) | v111(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32532, 32531])).
% 218.90/141.49 tff(32534,plain,
% 218.90/141.49 (~(v111(constB39) | v116(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32533, 32526])).
% 218.90/141.49 tff(32535,plain,
% 218.90/141.49 ((v84(constB38, 0) | v84(constB38, 1) | (~v84(constB38, 2))) | (~v84(constB38, 1))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32536,plain,
% 218.90/141.49 (v84(constB38, 0) | v84(constB38, 1) | (~v84(constB38, 2))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32535, 32480])).
% 218.90/141.49 tff(32537,assumption,(v84(constB38, 0) | v84(constB38, 1) | (~v84(constB38, 2))), introduced(assumption)).
% 218.90/141.49 tff(32538,assumption,(~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))), introduced(assumption)).
% 218.90/141.49 tff(32539,plain,
% 218.90/141.49 ((v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))) | v84(constB39, 2)),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32540,plain,
% 218.90/141.49 (v84(constB39, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32539, 32538])).
% 218.90/141.49 tff(32541,plain,
% 218.90/141.49 ((~(v84(constB39, 2) <=> v84(constB38, 2))) | v84(constB38, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[29185, 32540])).
% 218.90/141.49 tff(32542,plain,
% 218.90/141.49 (v84(constB38, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32541, 29136])).
% 218.90/141.49 tff(32543,plain,
% 218.90/141.49 ((v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))) | (~v84(constB39, 0))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32544,plain,
% 218.90/141.49 (~v84(constB39, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32543, 32538])).
% 218.90/141.49 tff(32545,plain,
% 218.90/141.49 ((~(v84(constB39, 0) <=> v84(constB38, 0))) | v84(constB39, 0) | (~v84(constB38, 0))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32546,plain,
% 218.90/141.49 ((~(v84(constB39, 0) <=> v84(constB38, 0))) | (~v84(constB38, 0))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32545, 32544])).
% 218.90/141.49 tff(32547,plain,
% 218.90/141.49 (~v84(constB38, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32546, 28914])).
% 218.90/141.49 tff(32548,plain,
% 218.90/141.49 ((v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))) | (~v84(constB39, 1))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32549,plain,
% 218.90/141.49 (~v84(constB39, 1)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32548, 32538])).
% 218.90/141.49 tff(32550,plain,
% 218.90/141.49 ((~(v84(constB39, 1) <=> v84(constB38, 1))) | (~v84(constB38, 1))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[29245, 32549])).
% 218.90/141.49 tff(32551,plain,
% 218.90/141.49 (~v84(constB38, 1)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32550, 29196])).
% 218.90/141.49 tff(32552,plain,
% 218.90/141.49 ((~(v84(constB38, 0) | v84(constB38, 1) | (~v84(constB38, 2)))) | v84(constB38, 0) | v84(constB38, 1) | (~v84(constB38, 2))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32553,plain,
% 218.90/141.49 ($false),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32552, 32551, 32547, 32542, 32537])).
% 218.90/141.49 tff(32554,plain,((v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))) | (~(v84(constB38, 0) | v84(constB38, 1) | (~v84(constB38, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.49 tff(32555,plain,
% 218.90/141.49 (v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32554, 32536])).
% 218.90/141.49 tff(32556,plain,
% 218.90/141.49 ((~(v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))))) | (~v117(constB39)) | (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32557,plain,
% 218.90/141.49 ((~(v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))))) | (~v117(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32556, 32555])).
% 218.90/141.49 tff(32558,plain,
% 218.90/141.49 (~v117(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32557, 29453])).
% 218.90/141.49 tff(32559,plain,
% 218.90/141.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 0) <=> v84(constB37, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 0) <=> v84(constB37, 0)))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32560,plain,
% 218.90/141.49 (($false | $false | (v84(constB38, 0) <=> v84(constB37, 0))) <=> (v84(constB38, 0) <=> v84(constB37, 0))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32561,plain,
% 218.90/141.49 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB38, 0) <=> v84(constB37, 0))) <=> ($false | $false | (v84(constB38, 0) <=> v84(constB37, 0)))),
% 218.90/141.49 inference(monotonicity,[status(thm)],[250, 249])).
% 218.90/141.49 tff(32562,plain,
% 218.90/141.49 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB38, 0) <=> v84(constB37, 0))) <=> (v84(constB38, 0) <=> v84(constB37, 0))),
% 218.90/141.49 inference(transitivity,[status(thm)],[32561, 32560])).
% 218.90/141.49 tff(32563,plain,
% 218.90/141.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB38, 0) <=> v84(constB37, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 0) <=> v84(constB37, 0)))),
% 218.90/141.49 inference(monotonicity,[status(thm)],[32562])).
% 218.90/141.49 tff(32564,plain,
% 218.90/141.49 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB38, 0) <=> v84(constB37, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 0) <=> v84(constB37, 0)))),
% 218.90/141.49 inference(transitivity,[status(thm)],[32563, 32559])).
% 218.90/141.49 tff(32565,plain,
% 218.90/141.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB38, 0) <=> v84(constB37, 0)))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32566,plain,
% 218.90/141.49 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))) | (v84(constB38, 0) <=> v84(constB37, 0))),
% 218.90/141.49 inference(modus_ponens,[status(thm)],[32565, 32564])).
% 218.90/141.49 tff(32567,plain,
% 218.90/141.49 (v84(constB38, 0) <=> v84(constB37, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32566, 32468])).
% 218.90/141.49 tff(32568,plain,
% 218.90/141.49 (v84(constB36, 0) <=> v84(constB35, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32305, 32123])).
% 218.90/141.49 tff(32569,plain,
% 218.90/141.49 ((~(v84(constB36, 0) <=> v84(constB35, 0))) | v84(constB36, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32307, 31963])).
% 218.90/141.49 tff(32570,plain,
% 218.90/141.49 (v84(constB36, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32569, 32568])).
% 218.90/141.49 tff(32571,plain,
% 218.90/141.49 ((~(v84(constB37, 0) <=> v84(constB36, 0))) | v84(constB37, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32310, 32570])).
% 218.90/141.49 tff(32572,plain,
% 218.90/141.49 (v84(constB37, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32571, 32155])).
% 218.90/141.49 tff(32573,plain,
% 218.90/141.49 ((~(v84(constB38, 0) <=> v84(constB37, 0))) | v84(constB38, 0) | (~v84(constB37, 0))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32574,plain,
% 218.90/141.49 ((~(v84(constB38, 0) <=> v84(constB37, 0))) | v84(constB38, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32573, 32572])).
% 218.90/141.49 tff(32575,plain,
% 218.90/141.49 (v84(constB38, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32574, 32567])).
% 218.90/141.49 tff(32576,plain,
% 218.90/141.49 ((~(v84(constB39, 0) <=> v84(constB38, 0))) | v84(constB39, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32545, 32575])).
% 218.90/141.49 tff(32577,plain,
% 218.90/141.49 (v84(constB39, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32576, 28914])).
% 218.90/141.49 tff(32578,plain,
% 218.90/141.49 ((v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1))) | (~v84(constB39, 0))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32579,plain,
% 218.90/141.49 (v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32578, 32577])).
% 218.90/141.49 tff(32580,plain,
% 218.90/141.49 ((~(v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))))) | (~v119(constB39)) | (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1))))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32581,plain,
% 218.90/141.49 ((~(v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))))) | (~v119(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32580, 32579])).
% 218.90/141.49 tff(32582,plain,
% 218.90/141.49 (~v119(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32581, 29465])).
% 218.90/141.49 tff(32583,plain,
% 218.90/141.49 ((~(v108(constB39) | v119(constB39))) | v108(constB39) | v119(constB39)),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32584,plain,
% 218.90/141.49 (v108(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32583, 32582, 29570])).
% 218.90/141.49 tff(32585,plain,
% 218.90/141.49 ((~(v108(constB39) <=> (v109(constB39) | v118(constB39)))) | (~v108(constB39)) | (v109(constB39) | v118(constB39))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32586,plain,
% 218.90/141.49 ((~(v108(constB39) <=> (v109(constB39) | v118(constB39)))) | (v109(constB39) | v118(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32585, 32584])).
% 218.90/141.49 tff(32587,plain,
% 218.90/141.49 (v109(constB39) | v118(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32586, 29344])).
% 218.90/141.49 tff(32588,plain,
% 218.90/141.49 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB39) <=> (~(v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2)))))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32589,plain,
% 218.90/141.49 (v118(constB39) <=> (~(v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2))))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32588, 394])).
% 218.90/141.49 tff(32590,plain,
% 218.90/141.49 ((v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2))) | (~v84(constB39, 1))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32591,plain,
% 218.90/141.49 (v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32590, 32482])).
% 218.90/141.49 tff(32592,plain,
% 218.90/141.49 ((~(v118(constB39) <=> (~(v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2)))))) | (~v118(constB39)) | (~(v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2))))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32593,plain,
% 218.90/141.49 ((~(v118(constB39) <=> (~(v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2)))))) | (~v118(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32592, 32591])).
% 218.90/141.49 tff(32594,plain,
% 218.90/141.49 (~v118(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32593, 32589])).
% 218.90/141.49 tff(32595,plain,
% 218.90/141.49 ((~(v109(constB39) | v118(constB39))) | v109(constB39) | v118(constB39)),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32596,plain,
% 218.90/141.49 ((~(v109(constB39) | v118(constB39))) | v109(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32595, 32594])).
% 218.90/141.49 tff(32597,plain,
% 218.90/141.49 (v109(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32596, 32587])).
% 218.90/141.49 tff(32598,assumption,(~(v109(constB39) <=> (v110(constB39) | v117(constB39)))), introduced(assumption)).
% 218.90/141.49 tff(32599,plain,
% 218.90/141.49 ($false),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[29341, 456, 32598])).
% 218.90/141.49 tff(32600,plain,(v109(constB39) <=> (v110(constB39) | v117(constB39))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.49 tff(32601,plain,
% 218.90/141.49 ((~(v109(constB39) <=> (v110(constB39) | v117(constB39)))) | (~v109(constB39)) | (v110(constB39) | v117(constB39))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32602,plain,
% 218.90/141.49 ((~v109(constB39)) | (v110(constB39) | v117(constB39))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32601, 32600])).
% 218.90/141.49 tff(32603,plain,
% 218.90/141.49 (v110(constB39) | v117(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32602, 32597])).
% 218.90/141.49 tff(32604,plain,
% 218.90/141.49 ((~(v110(constB39) | v117(constB39))) | v110(constB39) | v117(constB39)),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32605,plain,
% 218.90/141.49 (v110(constB39)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32604, 32603, 32558])).
% 218.90/141.49 tff(32606,plain,
% 218.90/141.49 ((~(v110(constB39) <=> (v111(constB39) | v116(constB39)))) | (~v110(constB39)) | (v111(constB39) | v116(constB39))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32607,plain,
% 218.90/141.49 ($false),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32606, 32605, 32534, 29340])).
% 218.90/141.49 tff(32608,plain,(v102(constB11) | (~(v108(constB39) | v119(constB39))) | (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.49 tff(32609,plain,
% 218.90/141.49 (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32608, 20398, 29570])).
% 218.90/141.49 tff(32610,plain,
% 218.90/141.49 (~v84(constB19, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[25415, 32609])).
% 218.90/141.49 tff(32611,plain,
% 218.90/141.49 (~v84(constB18, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[21526, 32610])).
% 218.90/141.49 tff(32612,plain,
% 218.90/141.49 (~(v84(constB18, 2) <=> v84(constB17, 2))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22577, 32611, 22339])).
% 218.90/141.49 tff(32613,plain,
% 218.90/141.49 (~v114(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22241, 22240, 21652])).
% 218.90/141.49 tff(32614,plain,
% 218.90/141.49 (~(v113(constB17) | v114(constB17))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22283, 22282, 32613])).
% 218.90/141.49 tff(32615,plain,
% 218.90/141.49 ((~(v112(constB17) <=> (v113(constB17) | v114(constB17)))) | (~v112(constB17))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22285, 32614])).
% 218.90/141.49 tff(32616,plain,
% 218.90/141.49 (~v112(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32615, 21650])).
% 218.90/141.49 tff(32617,plain,
% 218.90/141.49 (~(v112(constB17) | v115(constB17))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22303, 32616])).
% 218.90/141.49 tff(32618,plain,
% 218.90/141.49 (~v111(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22305, 32617, 21648])).
% 218.90/141.49 tff(32619,plain,
% 218.90/141.49 (~v116(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22342, 22341, 22313])).
% 218.90/141.49 tff(32620,plain,
% 218.90/141.49 ((~(v111(constB17) | v116(constB17))) | v111(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22345, 32619])).
% 218.90/141.49 tff(32621,plain,
% 218.90/141.49 (~(v111(constB17) | v116(constB17))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32620, 32618])).
% 218.90/141.49 tff(32622,plain,
% 218.90/141.49 (~v110(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22348, 32621, 21646])).
% 218.90/141.49 tff(32623,plain,
% 218.90/141.49 (~v117(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[24065, 32611])).
% 218.90/141.49 tff(32624,plain,
% 218.90/141.49 ((~(v110(constB17) | v117(constB17))) | v110(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22394, 32623])).
% 218.90/141.49 tff(32625,plain,
% 218.90/141.49 (~(v110(constB17) | v117(constB17))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32624, 32622])).
% 218.90/141.49 tff(32626,plain,
% 218.90/141.49 (~v109(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22397, 32625, 21644])).
% 218.90/141.49 tff(32627,plain,
% 218.90/141.49 (~v118(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22403, 22402, 22400])).
% 218.90/141.49 tff(32628,plain,
% 218.90/141.49 ((~(v109(constB17) | v118(constB17))) | v109(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22406, 32627])).
% 218.90/141.49 tff(32629,plain,
% 218.90/141.49 (~(v109(constB17) | v118(constB17))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32628, 32626])).
% 218.90/141.49 tff(32630,plain,
% 218.90/141.49 (~v108(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22409, 32629, 21642])).
% 218.90/141.49 tff(32631,plain,
% 218.90/141.49 (~(v108(constB17) | v119(constB17))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22424, 32630])).
% 218.90/141.49 tff(32632,plain,
% 218.90/141.49 (~v107(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22426, 32631, 21640])).
% 218.90/141.49 tff(32633,plain,
% 218.90/141.49 ((~v107(constB17)) | (~v120(constB17))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22428, 32632])).
% 218.90/141.49 tff(32634,plain,
% 218.90/141.49 (~v106(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22433, 32633])).
% 218.90/141.49 tff(32635,plain,
% 218.90/141.49 (~(v105(constB17) | v106(constB17))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22443, 32634])).
% 218.90/141.49 tff(32636,plain,
% 218.90/141.49 (~v102(constB17)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22448, 32635])).
% 218.90/141.49 tff(32637,plain,
% 218.90/141.49 (~v104(constB18)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22458, 32636])).
% 218.90/141.49 tff(32638,plain,
% 218.90/141.49 ((~v95(constB18)) | (~v104(constB18))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22460, 32637])).
% 218.90/141.49 tff(32639,plain,
% 218.90/141.49 (~v94(constB18)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22467, 32638])).
% 218.90/141.49 tff(32640,plain,
% 218.90/141.49 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v84(constB17, B)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22475, 32639])).
% 218.90/141.49 tff(32641,plain,
% 218.90/141.49 ($false),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[22575, 32640, 32612])).
% 218.90/141.49 tff(32642,plain,(v102(constB11) | (~(v108(constB39) | v119(constB39)))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.49 tff(32643,plain,
% 218.90/141.49 (v102(constB11)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32642, 29569])).
% 218.90/141.49 tff(32644,plain,
% 218.90/141.49 (v104(constB12)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20123, 32643])).
% 218.90/141.49 tff(32645,plain,
% 218.90/141.49 (~((~v95(constB12)) | (~v104(constB12)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20115, 32644])).
% 218.90/141.49 tff(32646,plain,
% 218.90/141.49 (v94(constB12)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20081, 32645])).
% 218.90/141.49 tff(32647,plain,
% 218.90/141.49 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20232, 32646])).
% 218.90/141.49 tff(32648,plain,
% 218.90/141.49 (v84(constB12, 2) <=> v123(constB12, 2)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20650, 32647])).
% 218.90/141.49 tff(32649,plain,
% 218.90/141.49 (v105(constB11) | v106(constB11)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20656, 32643])).
% 218.90/141.49 tff(32650,plain,
% 218.90/141.49 (v106(constB11)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20659, 32649])).
% 218.90/141.49 tff(32651,plain,
% 218.90/141.49 (~((~v107(constB11)) | (~v120(constB11)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20662, 32650])).
% 218.90/141.49 tff(32652,plain,
% 218.90/141.49 (v107(constB11)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20664, 32651])).
% 218.90/141.49 tff(32653,plain,
% 218.90/141.49 (v108(constB11) | v119(constB11)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20667, 32652])).
% 218.90/141.49 tff(32654,plain,
% 218.90/141.49 (v102(constB9)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[28027, 32653, 32648])).
% 218.90/141.49 tff(32655,plain,
% 218.90/141.49 (v104(constB10)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20823, 32654])).
% 218.90/141.49 tff(32656,plain,
% 218.90/141.49 (~((~v95(constB10)) | (~v104(constB10)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20820, 32655])).
% 218.90/141.49 tff(32657,plain,
% 218.90/141.49 (v94(constB10)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[20786, 32656])).
% 218.90/141.49 tff(32658,plain,
% 218.90/141.49 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[21047, 32657])).
% 218.90/141.49 tff(32659,plain,
% 218.90/141.49 (v84(constB10, 0) <=> v123(constB10, 0)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[28208, 32658])).
% 218.90/141.49 tff(32660,plain,
% 218.90/141.49 (v105(constB9) | v106(constB9)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[25336, 32654])).
% 218.90/141.49 tff(32661,plain,
% 218.90/141.49 (v106(constB9)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[25333, 32660])).
% 218.90/141.49 tff(32662,plain,
% 218.90/141.49 (~((~v107(constB9)) | (~v120(constB9)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[25330, 32661])).
% 218.90/141.49 tff(32663,plain,
% 218.90/141.49 (v107(constB9)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[25327, 32662])).
% 218.90/141.49 tff(32664,plain,
% 218.90/141.49 ((~(v107(constB9) <=> (v108(constB9) | v119(constB9)))) | (v108(constB9) | v119(constB9))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[25325, 32663])).
% 218.90/141.49 tff(32665,plain,
% 218.90/141.49 (v108(constB9) | v119(constB9)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32664, 20784])).
% 218.90/141.49 tff(32666,plain,
% 218.90/141.49 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2))))))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32667,plain,
% 218.90/141.49 ((v117(constB7) <=> (~(v84(constB7, 0) | v84(constB7, 1) | (~v84(constB7, 2))))) <=> (v117(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2)))))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32668,plain,
% 218.90/141.49 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB7) <=> (~(v84(constB7, 0) | v84(constB7, 1) | (~v84(constB7, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2))))))),
% 218.90/141.49 inference(monotonicity,[status(thm)],[32667])).
% 218.90/141.49 tff(32669,plain,
% 218.90/141.49 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB7) <=> (~(v84(constB7, 0) | v84(constB7, 1) | (~v84(constB7, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2))))))),
% 218.90/141.49 inference(transitivity,[status(thm)],[32668, 32666])).
% 218.90/141.49 tff(32670,plain,
% 218.90/141.49 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB7) <=> (~(v84(constB7, 0) | v84(constB7, 1) | (~v84(constB7, 2)))))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32671,plain,
% 218.90/141.49 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2)))))),
% 218.90/141.49 inference(modus_ponens,[status(thm)],[32670, 32669])).
% 218.90/141.49 tff(32672,plain,
% 218.90/141.49 (v117(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2))))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32671, 656])).
% 218.90/141.49 tff(32673,assumption,(~v94(constB8)), introduced(assumption)).
% 218.90/141.49 tff(32674,plain,
% 218.90/141.49 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32675,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7')).
% 218.90/141.49 tff(32676,plain,
% 218.90/141.49 (nextState(constB7, constB8)),
% 218.90/141.49 inference(modus_ponens,[status(thm)],[32675, 32674])).
% 218.90/141.49 tff(32677,plain,
% 218.90/141.49 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8))))))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32678,plain,
% 218.90/141.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8))))))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32679,plain,
% 218.90/141.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8)))))),
% 218.90/141.49 inference(modus_ponens,[status(thm)],[32678, 32677])).
% 218.90/141.49 tff(32680,plain,
% 218.90/141.49 (v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8))))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32679, 32676, 14])).
% 218.90/141.49 tff(32681,plain,
% 218.90/141.49 ((~(v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8)))))) | v94(constB8) | ((~v95(constB8)) | (~v104(constB8)))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32682,plain,
% 218.90/141.49 (v94(constB8) | ((~v95(constB8)) | (~v104(constB8)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32681, 32680])).
% 218.90/141.49 tff(32683,plain,
% 218.90/141.49 ((~v95(constB8)) | (~v104(constB8))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32682, 32673])).
% 218.90/141.49 tff(32684,plain,
% 218.90/141.49 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32685,plain,
% 218.90/141.49 (((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8)))))) <=> ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32686,plain,
% 218.90/141.49 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8)))))))),
% 218.90/141.49 inference(monotonicity,[status(thm)],[32685])).
% 218.90/141.49 tff(32687,plain,
% 218.90/141.49 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))),
% 218.90/141.49 inference(transitivity,[status(thm)],[32686, 32684])).
% 218.90/141.49 tff(32688,plain,
% 218.90/141.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8))))))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32689,plain,
% 218.90/141.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8)))))),
% 218.90/141.49 inference(modus_ponens,[status(thm)],[32688, 32687])).
% 218.90/141.49 tff(32690,plain,
% 218.90/141.49 (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32689, 32676, 37])).
% 218.90/141.49 tff(32691,plain,
% 218.90/141.49 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8)))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32692,plain,
% 218.90/141.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8)))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32693,plain,
% 218.90/141.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8))),
% 218.90/141.49 inference(modus_ponens,[status(thm)],[32692, 32691])).
% 218.90/141.49 tff(32694,plain,
% 218.90/141.49 ((~v96(constB8)) <=> v98(constB8)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32693, 32676, 54])).
% 218.90/141.49 tff(32695,plain,
% 218.90/141.49 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7)))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32696,plain,
% 218.90/141.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7)))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32697,plain,
% 218.90/141.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7))),
% 218.90/141.49 inference(modus_ponens,[status(thm)],[32696, 32695])).
% 218.90/141.49 tff(32698,plain,
% 218.90/141.49 (v98(constB8) <=> v1(constB7)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32697, 32676, 68])).
% 218.90/141.49 tff(32699,plain,
% 218.90/141.49 ((~v1(constB7)) <=> (~v1(constB7))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32700,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7')).
% 218.90/141.49 tff(32701,plain,
% 218.90/141.49 (~v1(constB7)),
% 218.90/141.49 inference(modus_ponens,[status(thm)],[32700, 32699])).
% 218.90/141.49 tff(32702,plain,
% 218.90/141.49 ((~(v98(constB8) <=> v1(constB7))) | (~v98(constB8)) | v1(constB7)),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32703,plain,
% 218.90/141.49 ((~(v98(constB8) <=> v1(constB7))) | (~v98(constB8))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32702, 32701])).
% 218.90/141.49 tff(32704,plain,
% 218.90/141.49 (~v98(constB8)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32703, 32698])).
% 218.90/141.49 tff(32705,plain,
% 218.90/141.49 ((~((~v96(constB8)) <=> v98(constB8))) | v96(constB8) | v98(constB8)),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32706,plain,
% 218.90/141.49 (v96(constB8)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32705, 32704, 32694])).
% 218.90/141.49 tff(32707,plain,
% 218.90/141.49 (v1(constB8) <=> v1(constB8)),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32708,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8')).
% 218.90/141.49 tff(32709,plain,
% 218.90/141.49 (v1(constB8)),
% 218.90/141.49 inference(modus_ponens,[status(thm)],[32708, 32707])).
% 218.90/141.49 tff(32710,plain,
% 218.90/141.49 ((~((~v1(constB8)) | (~v96(constB8)))) | (~v1(constB8)) | (~v96(constB8))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32711,plain,
% 218.90/141.49 ((~((~v1(constB8)) | (~v96(constB8)))) | (~v96(constB8))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32710, 32709])).
% 218.90/141.49 tff(32712,plain,
% 218.90/141.49 (~((~v1(constB8)) | (~v96(constB8)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32711, 32706])).
% 218.90/141.49 tff(32713,plain,
% 218.90/141.49 ((~(v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8)))))) | v95(constB8) | ((~v1(constB8)) | (~v96(constB8)))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32714,plain,
% 218.90/141.49 (v95(constB8)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32713, 32712, 32690])).
% 218.90/141.49 tff(32715,plain,
% 218.90/141.49 ((~((~v95(constB8)) | (~v104(constB8)))) | (~v95(constB8)) | (~v104(constB8))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32716,plain,
% 218.90/141.49 ((~((~v95(constB8)) | (~v104(constB8)))) | (~v104(constB8))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32715, 32714])).
% 218.90/141.49 tff(32717,plain,
% 218.90/141.49 (~v104(constB8)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32716, 32683])).
% 218.90/141.49 tff(32718,plain,
% 218.90/141.49 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7)))),
% 218.90/141.49 inference(rewrite,[status(thm)],[])).
% 218.90/141.49 tff(32719,plain,
% 218.90/141.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7)))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32720,plain,
% 218.90/141.49 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7))),
% 218.90/141.49 inference(modus_ponens,[status(thm)],[32719, 32718])).
% 218.90/141.49 tff(32721,plain,
% 218.90/141.49 (v104(constB8) <=> v102(constB7)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32720, 32676, 101])).
% 218.90/141.49 tff(32722,plain,
% 218.90/141.49 ((~(v104(constB8) <=> v102(constB7))) | v104(constB8) | (~v102(constB7))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32723,plain,
% 218.90/141.49 (v104(constB8) | (~v102(constB7))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32722, 32721])).
% 218.90/141.49 tff(32724,plain,
% 218.90/141.49 (~v102(constB7)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32723, 32717])).
% 218.90/141.49 tff(32725,plain,
% 218.90/141.49 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB7) <=> (v105(constB7) | v106(constB7)))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32726,plain,
% 218.90/141.49 (v102(constB7) <=> (v105(constB7) | v106(constB7))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32725, 115])).
% 218.90/141.49 tff(32727,plain,
% 218.90/141.49 ((~(v102(constB7) <=> (v105(constB7) | v106(constB7)))) | v102(constB7) | (~(v105(constB7) | v106(constB7)))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32728,plain,
% 218.90/141.49 (v102(constB7) | (~(v105(constB7) | v106(constB7)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32727, 32726])).
% 218.90/141.49 tff(32729,plain,
% 218.90/141.49 (~(v105(constB7) | v106(constB7))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32728, 32724])).
% 218.90/141.49 tff(32730,plain,
% 218.90/141.49 ((v105(constB7) | v106(constB7)) | (~v106(constB7))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32731,plain,
% 218.90/141.49 (~v106(constB7)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32730, 32729])).
% 218.90/141.49 tff(32732,plain,
% 218.90/141.49 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB7) <=> (~((~v107(constB7)) | (~v120(constB7)))))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32733,plain,
% 218.90/141.49 (v106(constB7) <=> (~((~v107(constB7)) | (~v120(constB7))))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32732, 132])).
% 218.90/141.49 tff(32734,plain,
% 218.90/141.49 ((~(v106(constB7) <=> (~((~v107(constB7)) | (~v120(constB7)))))) | v106(constB7) | ((~v107(constB7)) | (~v120(constB7)))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32735,plain,
% 218.90/141.49 (v106(constB7) | ((~v107(constB7)) | (~v120(constB7)))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32734, 32733])).
% 218.90/141.49 tff(32736,plain,
% 218.90/141.49 ((~v107(constB7)) | (~v120(constB7))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32735, 32731])).
% 218.90/141.49 tff(32737,plain,
% 218.90/141.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB7)) <=> v105(constB7))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32738,plain,
% 218.90/141.49 ((~v120(constB7)) <=> v105(constB7)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32737, 144])).
% 218.90/141.49 tff(32739,plain,
% 218.90/141.49 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB7) <=> v26(constB7))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32740,plain,
% 218.90/141.49 (v105(constB7) <=> v26(constB7)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32739, 156])).
% 218.90/141.49 tff(32741,plain,
% 218.90/141.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.49 tff(32742,plain,
% 218.90/141.49 (~v26(constB7)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32741, 168])).
% 218.90/141.49 tff(32743,plain,
% 218.90/141.49 ((~(v105(constB7) <=> v26(constB7))) | (~v105(constB7)) | v26(constB7)),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32744,plain,
% 218.90/141.49 ((~(v105(constB7) <=> v26(constB7))) | (~v105(constB7))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32743, 32742])).
% 218.90/141.49 tff(32745,plain,
% 218.90/141.49 (~v105(constB7)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32744, 32740])).
% 218.90/141.49 tff(32746,plain,
% 218.90/141.49 ((~((~v120(constB7)) <=> v105(constB7))) | v120(constB7) | v105(constB7)),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32747,plain,
% 218.90/141.49 ((~((~v120(constB7)) <=> v105(constB7))) | v120(constB7)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32746, 32745])).
% 218.90/141.49 tff(32748,plain,
% 218.90/141.49 (v120(constB7)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32747, 32738])).
% 218.90/141.49 tff(32749,plain,
% 218.90/141.49 ((~((~v107(constB7)) | (~v120(constB7)))) | (~v107(constB7)) | (~v120(constB7))),
% 218.90/141.49 inference(tautology,[status(thm)],[])).
% 218.90/141.49 tff(32750,plain,
% 218.90/141.49 ((~((~v107(constB7)) | (~v120(constB7)))) | (~v107(constB7))),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32749, 32748])).
% 218.90/141.49 tff(32751,plain,
% 218.90/141.49 (~v107(constB7)),
% 218.90/141.49 inference(unit_resolution,[status(thm)],[32750, 32736])).
% 218.90/141.49 tff(32752,assumption,(~(v107(constB7) <=> (v108(constB7) | v119(constB7)))), introduced(assumption)).
% 218.90/141.49 tff(32753,plain,
% 218.90/141.49 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB7) <=> (v108(constB7) | v119(constB7)))),
% 218.90/141.49 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32754,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32753, 187, 32752])).
% 218.90/141.50 tff(32755,plain,(v107(constB7) <=> (v108(constB7) | v119(constB7))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32756,plain,
% 218.90/141.50 ((~(v107(constB7) <=> (v108(constB7) | v119(constB7)))) | v107(constB7) | (~(v108(constB7) | v119(constB7)))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32757,plain,
% 218.90/141.50 (v107(constB7) | (~(v108(constB7) | v119(constB7)))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32756, 32755])).
% 218.90/141.50 tff(32758,plain,
% 218.90/141.50 (~(v108(constB7) | v119(constB7))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32757, 32751])).
% 218.90/141.50 tff(32759,plain,
% 218.90/141.50 ((v108(constB7) | v119(constB7)) | (~v108(constB7))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32760,plain,
% 218.90/141.50 (~v108(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32759, 32758])).
% 218.90/141.50 tff(32761,assumption,(~(v108(constB7) <=> (v109(constB7) | v118(constB7)))), introduced(assumption)).
% 218.90/141.50 tff(32762,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB7) <=> (v109(constB7) | v118(constB7)))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32763,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32762, 428, 32761])).
% 218.90/141.50 tff(32764,plain,(v108(constB7) <=> (v109(constB7) | v118(constB7))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32765,plain,
% 218.90/141.50 ((~(v108(constB7) <=> (v109(constB7) | v118(constB7)))) | v108(constB7) | (~(v109(constB7) | v118(constB7)))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32766,plain,
% 218.90/141.50 (v108(constB7) | (~(v109(constB7) | v118(constB7)))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32765, 32764])).
% 218.90/141.50 tff(32767,plain,
% 218.90/141.50 (~(v109(constB7) | v118(constB7))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32766, 32760])).
% 218.90/141.50 tff(32768,plain,
% 218.90/141.50 ((v109(constB7) | v118(constB7)) | (~v109(constB7))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32769,plain,
% 218.90/141.50 (~v109(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32768, 32767])).
% 218.90/141.50 tff(32770,assumption,(~(v109(constB7) <=> (v110(constB7) | v117(constB7)))), introduced(assumption)).
% 218.90/141.50 tff(32771,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB7) <=> (v110(constB7) | v117(constB7)))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32772,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32771, 456, 32770])).
% 218.90/141.50 tff(32773,plain,(v109(constB7) <=> (v110(constB7) | v117(constB7))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32774,plain,
% 218.90/141.50 ((~(v109(constB7) <=> (v110(constB7) | v117(constB7)))) | v109(constB7) | (~(v110(constB7) | v117(constB7)))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32775,plain,
% 218.90/141.50 (v109(constB7) | (~(v110(constB7) | v117(constB7)))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32774, 32773])).
% 218.90/141.50 tff(32776,plain,
% 218.90/141.50 (~(v110(constB7) | v117(constB7))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32775, 32769])).
% 218.90/141.50 tff(32777,plain,
% 218.90/141.50 ((v110(constB7) | v117(constB7)) | (~v117(constB7))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32778,plain,
% 218.90/141.50 (~v117(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32777, 32776])).
% 218.90/141.50 tff(32779,plain,
% 218.90/141.50 ((~(v117(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2)))))) | v117(constB7) | (v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2)))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32780,plain,
% 218.90/141.50 ((~(v117(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2)))))) | (v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2)))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32779, 32778])).
% 218.90/141.50 tff(32781,plain,
% 218.90/141.50 (v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32780, 32672])).
% 218.90/141.50 tff(32782,assumption,(~v84(constB8, 2)), introduced(assumption)).
% 218.90/141.50 tff(32783,plain,
% 218.90/141.50 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB8) | (~nextState(constB7, constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB8) | (~nextState(constB7, constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B))))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32784,plain,
% 218.90/141.50 ((v94(constB8) | (~nextState(constB7, constB8)) | ![B: $int] : ((v84(constB8, B) <=> v84(constB7, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v94(constB8) | (~nextState(constB7, constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B))))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32785,plain,
% 218.90/141.50 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB8) | (~nextState(constB7, constB8)) | ![B: $int] : ((v84(constB8, B) <=> v84(constB7, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB8) | (~nextState(constB7, constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[32784])).
% 218.90/141.50 tff(32786,plain,
% 218.90/141.50 (((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB8) | (~nextState(constB7, constB8)) | ![B: $int] : ((v84(constB8, B) <=> v84(constB7, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB8) | (~nextState(constB7, constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B))))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32785, 32783])).
% 218.90/141.50 tff(32787,plain,
% 218.90/141.50 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v94(constB8) | (~nextState(constB7, constB8)) | ![B: $int] : ((v84(constB8, B) <=> v84(constB7, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32788,plain,
% 218.90/141.50 ((~![VarCurr: state_type, VarNext: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v84(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v94(constB8) | (~nextState(constB7, constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))),
% 218.90/141.50 inference(modus_ponens,[status(thm)],[32787, 32786])).
% 218.90/141.50 tff(32789,plain,
% 218.90/141.50 (v94(constB8) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32788, 32676, 235])).
% 218.90/141.50 tff(32790,plain,
% 218.90/141.50 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32789, 32673])).
% 218.90/141.50 tff(32791,assumption,(v84(constB7, 2)), introduced(assumption)).
% 218.90/141.50 tff(32792,plain,
% 218.90/141.50 ((~(v84(constB8, 2) <=> v84(constB7, 2))) | v84(constB8, 2) | (~v84(constB7, 2))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32793,plain,
% 218.90/141.50 (~(v84(constB8, 2) <=> v84(constB7, 2))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32792, 32791, 32782])).
% 218.90/141.50 tff(32794,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))), introduced(assumption)).
% 218.90/141.50 tff(32795,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 2) <=> v84(constB7, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 2) <=> v84(constB7, 2)))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32796,plain,
% 218.90/141.50 (($false | $false | (v84(constB8, 2) <=> v84(constB7, 2))) <=> (v84(constB8, 2) <=> v84(constB7, 2))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32797,plain,
% 218.90/141.50 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB8, 2) <=> v84(constB7, 2))) <=> ($false | $false | (v84(constB8, 2) <=> v84(constB7, 2)))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[534, 533])).
% 218.90/141.50 tff(32798,plain,
% 218.90/141.50 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB8, 2) <=> v84(constB7, 2))) <=> (v84(constB8, 2) <=> v84(constB7, 2))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32797, 32796])).
% 218.90/141.50 tff(32799,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB8, 2) <=> v84(constB7, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 2) <=> v84(constB7, 2)))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[32798])).
% 218.90/141.50 tff(32800,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB8, 2) <=> v84(constB7, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 2) <=> v84(constB7, 2)))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32799, 32795])).
% 218.90/141.50 tff(32801,plain,
% 218.90/141.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB8, 2) <=> v84(constB7, 2)))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32802,plain,
% 218.90/141.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 2) <=> v84(constB7, 2))),
% 218.90/141.50 inference(modus_ponens,[status(thm)],[32801, 32800])).
% 218.90/141.50 tff(32803,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32802, 32794, 32793])).
% 218.90/141.50 tff(32804,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (~v84(constB7, 2)) | v84(constB8, 2)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32805,plain,
% 218.90/141.50 (~v84(constB7, 2)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32804, 32790, 32782])).
% 218.90/141.50 tff(32806,plain,
% 218.90/141.50 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0))))))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32807,plain,
% 218.90/141.50 ((v116(constB7) <=> (~(v84(constB7, 2) | (~v84(constB7, 1)) | (~v84(constB7, 0))))) <=> (v116(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0)))))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32808,plain,
% 218.90/141.50 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB7) <=> (~(v84(constB7, 2) | (~v84(constB7, 1)) | (~v84(constB7, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0))))))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[32807])).
% 218.90/141.50 tff(32809,plain,
% 218.90/141.50 (((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB7) <=> (~(v84(constB7, 2) | (~v84(constB7, 1)) | (~v84(constB7, 0)))))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0))))))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32808, 32806])).
% 218.90/141.50 tff(32810,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB7) <=> (~(v84(constB7, 2) | (~v84(constB7, 1)) | (~v84(constB7, 0)))))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32811,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0)))))),
% 218.90/141.50 inference(modus_ponens,[status(thm)],[32810, 32809])).
% 218.90/141.50 tff(32812,plain,
% 218.90/141.50 (v116(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0))))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32811, 521])).
% 218.90/141.50 tff(32813,assumption,(~(v111(constB7) | v116(constB7))), introduced(assumption)).
% 218.90/141.50 tff(32814,plain,
% 218.90/141.50 ((v111(constB7) | v116(constB7)) | (~v116(constB7))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32815,plain,
% 218.90/141.50 (~v116(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32814, 32813])).
% 218.90/141.50 tff(32816,plain,
% 218.90/141.50 ((~(v116(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0)))))) | v116(constB7) | ((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0)))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32817,plain,
% 218.90/141.50 ((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32816, 32815, 32812])).
% 218.90/141.50 tff(32818,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB7) <=> (~(v84(constB7, 0) | v84(constB7, 1) | v84(constB7, 2))))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32819,plain,
% 218.90/141.50 (v113(constB7) <=> (~(v84(constB7, 0) | v84(constB7, 1) | v84(constB7, 2)))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32818, 597])).
% 218.90/141.50 tff(32820,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB7) <=> (v113(constB7) | v114(constB7)))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32821,plain,
% 218.90/141.50 (v112(constB7) <=> (v113(constB7) | v114(constB7))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32820, 283])).
% 218.90/141.50 tff(32822,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB7) <=> (v112(constB7) | v115(constB7)))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32823,plain,
% 218.90/141.50 (v111(constB7) <=> (v112(constB7) | v115(constB7))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32822, 274])).
% 218.90/141.50 tff(32824,plain,
% 218.90/141.50 ((v111(constB7) | v116(constB7)) | (~v111(constB7))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32825,plain,
% 218.90/141.50 (~v111(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32824, 32813])).
% 218.90/141.50 tff(32826,plain,
% 218.90/141.50 ((~(v111(constB7) <=> (v112(constB7) | v115(constB7)))) | v111(constB7) | (~(v112(constB7) | v115(constB7)))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32827,plain,
% 218.90/141.50 (~(v112(constB7) | v115(constB7))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32826, 32825, 32823])).
% 218.90/141.50 tff(32828,plain,
% 218.90/141.50 ((v112(constB7) | v115(constB7)) | (~v112(constB7))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32829,plain,
% 218.90/141.50 (~v112(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32828, 32827])).
% 218.90/141.50 tff(32830,plain,
% 218.90/141.50 ((~(v112(constB7) <=> (v113(constB7) | v114(constB7)))) | v112(constB7) | (~(v113(constB7) | v114(constB7)))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32831,plain,
% 218.90/141.50 (~(v113(constB7) | v114(constB7))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32830, 32829, 32821])).
% 218.90/141.50 tff(32832,plain,
% 218.90/141.50 ((v113(constB7) | v114(constB7)) | (~v113(constB7))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32833,plain,
% 218.90/141.50 (~v113(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32832, 32831])).
% 218.90/141.50 tff(32834,plain,
% 218.90/141.50 ((~(v113(constB7) <=> (~(v84(constB7, 0) | v84(constB7, 1) | v84(constB7, 2))))) | v113(constB7) | (v84(constB7, 0) | v84(constB7, 1) | v84(constB7, 2))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32835,plain,
% 218.90/141.50 (v84(constB7, 0) | v84(constB7, 1) | v84(constB7, 2)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32834, 32833, 32819])).
% 218.90/141.50 tff(32836,assumption,(~v84(constB7, 2)), introduced(assumption)).
% 218.90/141.50 tff(32837,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0)))))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32838,plain,
% 218.90/141.50 (v114(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0))))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32837, 298])).
% 218.90/141.50 tff(32839,plain,
% 218.90/141.50 ((v113(constB7) | v114(constB7)) | (~v114(constB7))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32840,plain,
% 218.90/141.50 (~v114(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32839, 32831])).
% 218.90/141.50 tff(32841,plain,
% 218.90/141.50 ((~(v114(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0)))))) | v114(constB7) | (v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0)))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32842,plain,
% 218.90/141.50 (v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32841, 32840, 32838])).
% 218.90/141.50 tff(32843,assumption,(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0))), introduced(assumption)).
% 218.90/141.50 tff(32844,assumption,(~v84(constB7, 1)), introduced(assumption)).
% 218.90/141.50 tff(32845,assumption,(v84(constB7, 0) | v84(constB7, 1) | v84(constB7, 2)), introduced(assumption)).
% 218.90/141.50 tff(32846,plain,
% 218.90/141.50 ((~(v84(constB7, 0) | v84(constB7, 1) | v84(constB7, 2))) | v84(constB7, 0) | v84(constB7, 1) | v84(constB7, 2)),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32847,plain,
% 218.90/141.50 ((~(v84(constB7, 0) | v84(constB7, 1) | v84(constB7, 2))) | v84(constB7, 0) | v84(constB7, 1)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32846, 32836])).
% 218.90/141.50 tff(32848,plain,
% 218.90/141.50 (v84(constB7, 0)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32847, 32844, 32845])).
% 218.90/141.50 tff(32849,plain,
% 218.90/141.50 ((~(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0)))) | v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32850,plain,
% 218.90/141.50 ((~(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0)))) | v84(constB7, 1) | (~v84(constB7, 0))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32849, 32836])).
% 218.90/141.50 tff(32851,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32850, 32848, 32844, 32843])).
% 218.90/141.50 tff(32852,plain,(v84(constB7, 1) | (~(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0)))) | v84(constB7, 2) | (~(v84(constB7, 0) | v84(constB7, 1) | v84(constB7, 2)))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32853,plain,
% 218.90/141.50 (v84(constB7, 1)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32852, 32842, 32836, 32835])).
% 218.90/141.50 tff(32854,plain,
% 218.90/141.50 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0)))))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32855,plain,
% 218.90/141.50 ((v115(constB7) <=> (~(v84(constB7, 0) | v84(constB7, 2) | (~v84(constB7, 1))))) <=> (v115(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0))))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32856,plain,
% 218.90/141.50 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB7) <=> (~(v84(constB7, 0) | v84(constB7, 2) | (~v84(constB7, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0)))))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[32855])).
% 218.90/141.50 tff(32857,plain,
% 218.90/141.50 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB7) <=> (~(v84(constB7, 0) | v84(constB7, 2) | (~v84(constB7, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0)))))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32856, 32854])).
% 218.90/141.50 tff(32858,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB7) <=> (~(v84(constB7, 0) | v84(constB7, 2) | (~v84(constB7, 1)))))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32859,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0))))),
% 218.90/141.50 inference(modus_ponens,[status(thm)],[32858, 32857])).
% 218.90/141.50 tff(32860,plain,
% 218.90/141.50 (v115(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0)))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32859, 622])).
% 218.90/141.50 tff(32861,plain,
% 218.90/141.50 ((v112(constB7) | v115(constB7)) | (~v115(constB7))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32862,plain,
% 218.90/141.50 (~v115(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32861, 32827])).
% 218.90/141.50 tff(32863,plain,
% 218.90/141.50 ((~(v115(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0))))) | v115(constB7) | ((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32864,plain,
% 218.90/141.50 ((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32863, 32862, 32860])).
% 218.90/141.50 tff(32865,plain,
% 218.90/141.50 ((~((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0))) | (~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0)),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32866,plain,
% 218.90/141.50 ((~((~v84(constB7, 1)) | v84(constB7, 2) | v84(constB7, 0))) | (~v84(constB7, 1)) | v84(constB7, 0)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32865, 32836])).
% 218.90/141.50 tff(32867,plain,
% 218.90/141.50 (v84(constB7, 0)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32866, 32853, 32864])).
% 218.90/141.50 tff(32868,plain,
% 218.90/141.50 ((~((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0)))) | (~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32869,plain,
% 218.90/141.50 ((~((~v84(constB7, 1)) | v84(constB7, 2) | (~v84(constB7, 0)))) | (~v84(constB7, 1)) | (~v84(constB7, 0))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32868, 32836])).
% 218.90/141.50 tff(32870,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32869, 32867, 32853, 32817])).
% 218.90/141.50 tff(32871,plain,((v111(constB7) | v116(constB7)) | v84(constB7, 2)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32872,plain,
% 218.90/141.50 (v111(constB7) | v116(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32871, 32805])).
% 218.90/141.50 tff(32873,assumption,(~(v110(constB7) <=> (v111(constB7) | v116(constB7)))), introduced(assumption)).
% 218.90/141.50 tff(32874,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB7) <=> (v111(constB7) | v116(constB7)))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32875,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32874, 265, 32873])).
% 218.90/141.50 tff(32876,plain,(v110(constB7) <=> (v111(constB7) | v116(constB7))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32877,plain,
% 218.90/141.50 ((~(v110(constB7) <=> (v111(constB7) | v116(constB7)))) | v110(constB7) | (~(v111(constB7) | v116(constB7)))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32878,plain,
% 218.90/141.50 (v110(constB7) | (~(v111(constB7) | v116(constB7)))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32877, 32876])).
% 218.90/141.50 tff(32879,plain,
% 218.90/141.50 (v110(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32878, 32872])).
% 218.90/141.50 tff(32880,plain,
% 218.90/141.50 ((v110(constB7) | v117(constB7)) | (~v110(constB7))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32881,plain,
% 218.90/141.50 (v110(constB7) | v117(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32880, 32879])).
% 218.90/141.50 tff(32882,plain,
% 218.90/141.50 (v109(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32775, 32881])).
% 218.90/141.50 tff(32883,plain,
% 218.90/141.50 (v109(constB7) | v118(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32768, 32882])).
% 218.90/141.50 tff(32884,plain,
% 218.90/141.50 (v108(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32766, 32883])).
% 218.90/141.50 tff(32885,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32759, 32884, 32758])).
% 218.90/141.50 tff(32886,plain,(v94(constB8) | v84(constB8, 2)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32887,plain,
% 218.90/141.50 (v84(constB8, 2)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32886, 32673])).
% 218.90/141.50 tff(32888,assumption,(v84(constB8, 2)), introduced(assumption)).
% 218.90/141.50 tff(32889,plain,
% 218.90/141.50 ((~(v84(constB8, 2) <=> v84(constB7, 2))) | (~v84(constB8, 2)) | v84(constB7, 2)),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32890,plain,
% 218.90/141.50 (~(v84(constB8, 2) <=> v84(constB7, 2))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32889, 32836, 32888])).
% 218.90/141.50 tff(32891,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32802, 32794, 32890])).
% 218.90/141.50 tff(32892,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | v84(constB7, 2) | (~v84(constB8, 2))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32893,plain,
% 218.90/141.50 (v84(constB7, 2)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32892, 32790, 32887])).
% 218.90/141.50 tff(32894,plain,
% 218.90/141.50 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2))))))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32895,plain,
% 218.90/141.50 ((v119(constB7) <=> (~(v84(constB7, 0) | (~v84(constB7, 1)) | (~v84(constB7, 2))))) <=> (v119(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2)))))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32896,plain,
% 218.90/141.50 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB7) <=> (~(v84(constB7, 0) | (~v84(constB7, 1)) | (~v84(constB7, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2))))))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[32895])).
% 218.90/141.50 tff(32897,plain,
% 218.90/141.50 (((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB7) <=> (~(v84(constB7, 0) | (~v84(constB7, 1)) | (~v84(constB7, 2)))))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2))))))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32896, 32894])).
% 218.90/141.50 tff(32898,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB7) <=> (~(v84(constB7, 0) | (~v84(constB7, 1)) | (~v84(constB7, 2)))))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32899,plain,
% 218.90/141.50 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2)))))),
% 218.90/141.50 inference(modus_ponens,[status(thm)],[32898, 32897])).
% 218.90/141.50 tff(32900,plain,
% 218.90/141.50 (v119(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2))))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32899, 318])).
% 218.90/141.50 tff(32901,plain,
% 218.90/141.50 ((v108(constB7) | v119(constB7)) | (~v119(constB7))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32902,plain,
% 218.90/141.50 (~v119(constB7)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32901, 32758])).
% 218.90/141.50 tff(32903,plain,
% 218.90/141.50 ((~(v119(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2)))))) | v119(constB7) | ((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2)))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32904,plain,
% 218.90/141.50 ((~(v119(constB7) <=> (~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2)))))) | ((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2)))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32903, 32902])).
% 218.90/141.50 tff(32905,plain,
% 218.90/141.50 ((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32904, 32900])).
% 218.90/141.50 tff(32906,assumption,(v108(constB9) | v119(constB9)), introduced(assumption)).
% 218.90/141.50 tff(32907,plain,
% 218.90/141.50 ((~(v84(constB9, 2) <=> v84(constB8, 2))) | v84(constB9, 2) | (~v84(constB8, 2))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32908,plain,
% 218.90/141.50 (v84(constB9, 2) | (~v84(constB8, 2))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32907, 28344])).
% 218.90/141.50 tff(32909,plain,
% 218.90/141.50 (v84(constB9, 2)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32908, 32887])).
% 218.90/141.50 tff(32910,plain,
% 218.90/141.50 ((~v84(constB9, 1)) | v84(constB9, 2) | (~v84(constB9, 0))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[21060, 32909])).
% 218.90/141.50 tff(32911,plain,
% 218.90/141.50 (~v116(constB9)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[21066, 32910])).
% 218.90/141.50 tff(32912,plain,
% 218.90/141.50 (v84(constB9, 1) | v84(constB9, 2) | (~v84(constB9, 0))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[21069, 32909])).
% 218.90/141.50 tff(32913,plain,
% 218.90/141.50 (~v114(constB9)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[21075, 32912])).
% 218.90/141.50 tff(32914,plain,
% 218.90/141.50 (v84(constB9, 0) | v84(constB9, 1) | v84(constB9, 2)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[21204, 32909])).
% 218.90/141.50 tff(32915,plain,
% 218.90/141.50 (~v113(constB9)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[22654, 32914])).
% 218.90/141.50 tff(32916,plain,
% 218.90/141.50 (~(v113(constB9) | v114(constB9))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[25258, 32915, 32913])).
% 218.90/141.50 tff(32917,plain,
% 218.90/141.50 ((~(v112(constB9) <=> (v113(constB9) | v114(constB9)))) | (~v112(constB9))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[25260, 32916])).
% 218.90/141.50 tff(32918,plain,
% 218.90/141.50 (~v112(constB9)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32917, 20747])).
% 218.90/141.50 tff(32919,plain,
% 218.90/141.50 ((~v84(constB9, 1)) | v84(constB9, 2) | v84(constB9, 0)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[20937, 32909])).
% 218.90/141.50 tff(32920,plain,
% 218.90/141.50 (~v115(constB9)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[20943, 32919])).
% 218.90/141.50 tff(32921,plain,
% 218.90/141.50 ((~(v112(constB9) | v115(constB9))) | v112(constB9)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[25263, 32920])).
% 218.90/141.50 tff(32922,plain,
% 218.90/141.50 (~(v112(constB9) | v115(constB9))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32921, 32918])).
% 218.90/141.50 tff(32923,plain,
% 218.90/141.50 (~v111(constB9)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[25266, 32922, 20722])).
% 218.90/141.50 tff(32924,plain,
% 218.90/141.50 (~(v111(constB9) | v116(constB9))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[25268, 32923, 32911])).
% 218.90/141.50 tff(32925,plain,
% 218.90/141.50 (~v110(constB9)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[25274, 32924])).
% 218.90/141.50 tff(32926,assumption,(~(v84(constB9, 1) <=> v84(constB8, 1))), introduced(assumption)).
% 218.90/141.50 tff(32927,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 1) <=> v84(constB8, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 1) <=> v84(constB8, 1)))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32928,plain,
% 218.90/141.50 (($false | $false | (v84(constB9, 1) <=> v84(constB8, 1))) <=> (v84(constB9, 1) <=> v84(constB8, 1))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32929,plain,
% 218.90/141.50 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB9, 1) <=> v84(constB8, 1))) <=> ($false | $false | (v84(constB9, 1) <=> v84(constB8, 1)))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.50 tff(32930,plain,
% 218.90/141.50 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB9, 1) <=> v84(constB8, 1))) <=> (v84(constB9, 1) <=> v84(constB8, 1))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32929, 32928])).
% 218.90/141.50 tff(32931,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB9, 1) <=> v84(constB8, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 1) <=> v84(constB8, 1)))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[32930])).
% 218.90/141.50 tff(32932,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB9, 1) <=> v84(constB8, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 1) <=> v84(constB8, 1)))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32931, 32927])).
% 218.90/141.50 tff(32933,plain,
% 218.90/141.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB9, 1) <=> v84(constB8, 1)))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32934,plain,
% 218.90/141.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 1) <=> v84(constB8, 1))),
% 218.90/141.50 inference(modus_ponens,[status(thm)],[32933, 32932])).
% 218.90/141.50 tff(32935,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32934, 28334, 32926])).
% 218.90/141.50 tff(32936,plain,(v84(constB9, 1) <=> v84(constB8, 1)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32937,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 1) <=> v84(constB7, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 1) <=> v84(constB7, 1)))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32938,plain,
% 218.90/141.50 (($false | $false | (v84(constB8, 1) <=> v84(constB7, 1))) <=> (v84(constB8, 1) <=> v84(constB7, 1))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32939,plain,
% 218.90/141.50 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB8, 1) <=> v84(constB7, 1))) <=> ($false | $false | (v84(constB8, 1) <=> v84(constB7, 1)))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.50 tff(32940,plain,
% 218.90/141.50 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB8, 1) <=> v84(constB7, 1))) <=> (v84(constB8, 1) <=> v84(constB7, 1))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32939, 32938])).
% 218.90/141.50 tff(32941,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB8, 1) <=> v84(constB7, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 1) <=> v84(constB7, 1)))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[32940])).
% 218.90/141.50 tff(32942,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB8, 1) <=> v84(constB7, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 1) <=> v84(constB7, 1)))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32941, 32937])).
% 218.90/141.50 tff(32943,plain,
% 218.90/141.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB8, 1) <=> v84(constB7, 1)))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32944,plain,
% 218.90/141.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 1) <=> v84(constB7, 1))),
% 218.90/141.50 inference(modus_ponens,[status(thm)],[32943, 32942])).
% 218.90/141.50 tff(32945,plain,
% 218.90/141.50 (v84(constB8, 1) <=> v84(constB7, 1)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32944, 32794])).
% 218.90/141.50 tff(32946,assumption,(v84(constB7, 1)), introduced(assumption)).
% 218.90/141.50 tff(32947,plain,
% 218.90/141.50 ((~(v84(constB8, 1) <=> v84(constB7, 1))) | v84(constB8, 1) | (~v84(constB7, 1))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32948,plain,
% 218.90/141.50 ((~(v84(constB8, 1) <=> v84(constB7, 1))) | v84(constB8, 1)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32947, 32946])).
% 218.90/141.50 tff(32949,plain,
% 218.90/141.50 (v84(constB8, 1)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32948, 32945])).
% 218.90/141.50 tff(32950,plain,
% 218.90/141.50 ((~(v84(constB9, 1) <=> v84(constB8, 1))) | v84(constB9, 1) | (~v84(constB8, 1))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32951,plain,
% 218.90/141.50 (v84(constB9, 1)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32950, 32949, 32936])).
% 218.90/141.50 tff(32952,plain,
% 218.90/141.50 ((v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2))) | (~v84(constB9, 1))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32953,plain,
% 218.90/141.50 (v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32952, 32951])).
% 218.90/141.50 tff(32954,plain,
% 218.90/141.50 ((~(v118(constB9) <=> (~(v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2)))))) | (~v118(constB9)) | (~(v84(constB9, 1) | (~v84(constB9, 0)) | (~v84(constB9, 2))))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32955,plain,
% 218.90/141.50 (~v118(constB9)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32954, 32953, 25381])).
% 218.90/141.50 tff(32956,assumption,(~v110(constB9)), introduced(assumption)).
% 218.90/141.50 tff(32957,plain,
% 218.90/141.50 ((v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))) | (~v84(constB9, 1))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32958,plain,
% 218.90/141.50 (v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32957, 32951])).
% 218.90/141.50 tff(32959,assumption,(~(v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2)))))), introduced(assumption)).
% 218.90/141.50 tff(32960,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[21211, 656, 32959])).
% 218.90/141.50 tff(32961,plain,(v117(constB9) <=> (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32962,plain,
% 218.90/141.50 ((~v117(constB9)) | (~(v84(constB9, 1) | v84(constB9, 0) | (~v84(constB9, 2))))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[22647, 32961])).
% 218.90/141.50 tff(32963,plain,
% 218.90/141.50 (~v117(constB9)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32962, 32958])).
% 218.90/141.50 tff(32964,plain,
% 218.90/141.50 (~(v110(constB9) | v117(constB9))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[25276, 32963, 32956])).
% 218.90/141.50 tff(32965,plain,
% 218.90/141.50 (~v109(constB9)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[25279, 32964])).
% 218.90/141.50 tff(32966,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 0) <=> v84(constB7, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 0) <=> v84(constB7, 0)))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32967,plain,
% 218.90/141.50 (($false | $false | (v84(constB8, 0) <=> v84(constB7, 0))) <=> (v84(constB8, 0) <=> v84(constB7, 0))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32968,plain,
% 218.90/141.50 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB8, 0) <=> v84(constB7, 0))) <=> ($false | $false | (v84(constB8, 0) <=> v84(constB7, 0)))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[250, 249])).
% 218.90/141.50 tff(32969,plain,
% 218.90/141.50 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB8, 0) <=> v84(constB7, 0))) <=> (v84(constB8, 0) <=> v84(constB7, 0))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32968, 32967])).
% 218.90/141.50 tff(32970,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB8, 0) <=> v84(constB7, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 0) <=> v84(constB7, 0)))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[32969])).
% 218.90/141.50 tff(32971,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB8, 0) <=> v84(constB7, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 0) <=> v84(constB7, 0)))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32970, 32966])).
% 218.90/141.50 tff(32972,plain,
% 218.90/141.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB8, 0) <=> v84(constB7, 0)))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32973,plain,
% 218.90/141.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (v84(constB8, 0) <=> v84(constB7, 0))),
% 218.90/141.50 inference(modus_ponens,[status(thm)],[32972, 32971])).
% 218.90/141.50 tff(32974,plain,
% 218.90/141.50 (v84(constB8, 0) <=> v84(constB7, 0)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32973, 32794])).
% 218.90/141.50 tff(32975,assumption,((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2))), introduced(assumption)).
% 218.90/141.50 tff(32976,plain,
% 218.90/141.50 ((~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2)))) | (~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32977,plain,
% 218.90/141.50 ((~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2)))) | (~v84(constB7, 1)) | v84(constB7, 0)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32976, 32791])).
% 218.90/141.50 tff(32978,plain,
% 218.90/141.50 (v84(constB7, 0)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32977, 32946, 32975])).
% 218.90/141.50 tff(32979,plain,
% 218.90/141.50 ((~(v84(constB8, 0) <=> v84(constB7, 0))) | v84(constB8, 0) | (~v84(constB7, 0))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32980,plain,
% 218.90/141.50 ((~(v84(constB8, 0) <=> v84(constB7, 0))) | v84(constB8, 0)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32979, 32978])).
% 218.90/141.50 tff(32981,plain,
% 218.90/141.50 (v84(constB8, 0)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32980, 32974])).
% 218.90/141.50 tff(32982,assumption,(~(v84(constB9, 0) <=> v84(constB8, 0))), introduced(assumption)).
% 218.90/141.50 tff(32983,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 0) <=> v84(constB8, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 0) <=> v84(constB8, 0)))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32984,plain,
% 218.90/141.50 (($false | $false | (v84(constB9, 0) <=> v84(constB8, 0))) <=> (v84(constB9, 0) <=> v84(constB8, 0))),
% 218.90/141.50 inference(rewrite,[status(thm)],[])).
% 218.90/141.50 tff(32985,plain,
% 218.90/141.50 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB9, 0) <=> v84(constB8, 0))) <=> ($false | $false | (v84(constB9, 0) <=> v84(constB8, 0)))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[250, 249])).
% 218.90/141.50 tff(32986,plain,
% 218.90/141.50 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB9, 0) <=> v84(constB8, 0))) <=> (v84(constB9, 0) <=> v84(constB8, 0))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32985, 32984])).
% 218.90/141.50 tff(32987,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB9, 0) <=> v84(constB8, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 0) <=> v84(constB8, 0)))),
% 218.90/141.50 inference(monotonicity,[status(thm)],[32986])).
% 218.90/141.50 tff(32988,plain,
% 218.90/141.50 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB9, 0) <=> v84(constB8, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 0) <=> v84(constB8, 0)))),
% 218.90/141.50 inference(transitivity,[status(thm)],[32987, 32983])).
% 218.90/141.50 tff(32989,plain,
% 218.90/141.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB9, 0) <=> v84(constB8, 0)))),
% 218.90/141.50 inference(quant_inst,[status(thm)],[])).
% 218.90/141.50 tff(32990,plain,
% 218.90/141.50 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB9, B) <=> v84(constB8, B)))) | (v84(constB9, 0) <=> v84(constB8, 0))),
% 218.90/141.50 inference(modus_ponens,[status(thm)],[32989, 32988])).
% 218.90/141.50 tff(32991,plain,
% 218.90/141.50 ($false),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32990, 28334, 32982])).
% 218.90/141.50 tff(32992,plain,(v84(constB9, 0) <=> v84(constB8, 0)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.50 tff(32993,plain,
% 218.90/141.50 ((~(v84(constB9, 0) <=> v84(constB8, 0))) | v84(constB9, 0) | (~v84(constB8, 0))),
% 218.90/141.50 inference(tautology,[status(thm)],[])).
% 218.90/141.50 tff(32994,plain,
% 218.90/141.50 (v84(constB9, 0) | (~v84(constB8, 0))),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32993, 32992])).
% 218.90/141.50 tff(32995,plain,
% 218.90/141.50 (v84(constB9, 0)),
% 218.90/141.50 inference(unit_resolution,[status(thm)],[32994, 32981])).
% 218.90/141.50 tff(32996,plain,
% 218.90/141.50 ((~v84(constB9, 1)) | v84(constB9, 0) | (~v84(constB9, 2))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[21473, 32995])).
% 218.90/141.51 tff(32997,plain,
% 218.90/141.51 (~v119(constB9)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[25319, 32996, 21274])).
% 218.90/141.51 tff(32998,plain,
% 218.90/141.51 (v108(constB9)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[25322, 32997, 32906])).
% 218.90/141.51 tff(32999,plain,
% 218.90/141.51 (v109(constB9) | v118(constB9)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[25317, 32998, 20783])).
% 218.90/141.51 tff(33000,plain,
% 218.90/141.51 ($false),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[25315, 32999, 32965, 32955])).
% 218.90/141.51 tff(33001,plain,((~v84(constB7, 1)) | (~(v108(constB9) | v119(constB9))) | v110(constB9) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v84(constB7, B)))) | (~((~v84(constB7, 1)) | v84(constB7, 0) | (~v84(constB7, 2)))) | (~v84(constB7, 2))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.51 tff(33002,plain,
% 218.90/141.51 (~v84(constB7, 1)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33001, 32925, 32906, 32790, 32905, 32893])).
% 218.90/141.51 tff(33003,plain,
% 218.90/141.51 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB7) <=> (~(v84(constB7, 1) | (~v84(constB7, 0)) | (~v84(constB7, 2)))))),
% 218.90/141.51 inference(quant_inst,[status(thm)],[])).
% 218.90/141.51 tff(33004,plain,
% 218.90/141.51 (v118(constB7) <=> (~(v84(constB7, 1) | (~v84(constB7, 0)) | (~v84(constB7, 2))))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33003, 394])).
% 218.90/141.51 tff(33005,plain,
% 218.90/141.51 ((v109(constB7) | v118(constB7)) | (~v118(constB7))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33006,plain,
% 218.90/141.51 (~v118(constB7)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33005, 32767])).
% 218.90/141.51 tff(33007,plain,
% 218.90/141.51 ((~(v118(constB7) <=> (~(v84(constB7, 1) | (~v84(constB7, 0)) | (~v84(constB7, 2)))))) | v118(constB7) | (v84(constB7, 1) | (~v84(constB7, 0)) | (~v84(constB7, 2)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33008,plain,
% 218.90/141.51 ((~(v118(constB7) <=> (~(v84(constB7, 1) | (~v84(constB7, 0)) | (~v84(constB7, 2)))))) | (v84(constB7, 1) | (~v84(constB7, 0)) | (~v84(constB7, 2)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33007, 33006])).
% 218.90/141.51 tff(33009,plain,
% 218.90/141.51 (v84(constB7, 1) | (~v84(constB7, 0)) | (~v84(constB7, 2))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33008, 33004])).
% 218.90/141.51 tff(33010,plain,
% 218.90/141.51 ((~(v84(constB7, 1) | (~v84(constB7, 0)) | (~v84(constB7, 2)))) | v84(constB7, 1) | (~v84(constB7, 0)) | (~v84(constB7, 2))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33011,plain,
% 218.90/141.51 (~v84(constB7, 0)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33010, 33002, 32893, 33009])).
% 218.90/141.51 tff(33012,plain,
% 218.90/141.51 ((~(v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2)))) | v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33013,plain,
% 218.90/141.51 ((~(v84(constB7, 1) | v84(constB7, 0) | (~v84(constB7, 2)))) | v84(constB7, 1) | v84(constB7, 0)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33012, 32893])).
% 218.90/141.51 tff(33014,plain,
% 218.90/141.51 ($false),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33013, 33011, 33002, 32781])).
% 218.90/141.51 tff(33015,plain,(v94(constB8) | (~(v108(constB9) | v119(constB9)))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.51 tff(33016,plain,
% 218.90/141.51 (v94(constB8)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33015, 32665])).
% 218.90/141.51 tff(33017,plain,
% 218.90/141.51 ((~(v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8)))))) | (~v94(constB8)) | (~((~v95(constB8)) | (~v104(constB8))))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33018,plain,
% 218.90/141.51 ((~v94(constB8)) | (~((~v95(constB8)) | (~v104(constB8))))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33017, 32680])).
% 218.90/141.51 tff(33019,plain,
% 218.90/141.51 (~((~v95(constB8)) | (~v104(constB8)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33018, 33016])).
% 218.90/141.51 tff(33020,plain,
% 218.90/141.51 (((~v95(constB8)) | (~v104(constB8))) | v104(constB8)),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33021,plain,
% 218.90/141.51 (v104(constB8)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33020, 33019])).
% 218.90/141.51 tff(33022,plain,
% 218.90/141.51 ((~(v104(constB8) <=> v102(constB7))) | (~v104(constB8)) | v102(constB7)),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33023,plain,
% 218.90/141.51 ((~v104(constB8)) | v102(constB7)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33022, 32721])).
% 218.90/141.51 tff(33024,plain,
% 218.90/141.51 (v102(constB7)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33023, 33021])).
% 218.90/141.51 tff(33025,plain,
% 218.90/141.51 ((~(v102(constB7) <=> (v105(constB7) | v106(constB7)))) | (~v102(constB7)) | (v105(constB7) | v106(constB7))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33026,plain,
% 218.90/141.51 ((~v102(constB7)) | (v105(constB7) | v106(constB7))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33025, 32726])).
% 218.90/141.51 tff(33027,plain,
% 218.90/141.51 (v105(constB7) | v106(constB7)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33026, 33024])).
% 218.90/141.51 tff(33028,plain,
% 218.90/141.51 ((~(v105(constB7) | v106(constB7))) | v105(constB7) | v106(constB7)),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33029,plain,
% 218.90/141.51 ((~(v105(constB7) | v106(constB7))) | v106(constB7)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33028, 32745])).
% 218.90/141.51 tff(33030,plain,
% 218.90/141.51 (v106(constB7)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33029, 33027])).
% 218.90/141.51 tff(33031,plain,
% 218.90/141.51 ((~(v106(constB7) <=> (~((~v107(constB7)) | (~v120(constB7)))))) | (~v106(constB7)) | (~((~v107(constB7)) | (~v120(constB7))))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33032,plain,
% 218.90/141.51 ((~v106(constB7)) | (~((~v107(constB7)) | (~v120(constB7))))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33031, 32733])).
% 218.90/141.51 tff(33033,plain,
% 218.90/141.51 (~((~v107(constB7)) | (~v120(constB7)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33032, 33030])).
% 218.90/141.51 tff(33034,plain,
% 218.90/141.51 (((~v107(constB7)) | (~v120(constB7))) | v107(constB7)),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33035,plain,
% 218.90/141.51 (v107(constB7)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33034, 33033])).
% 218.90/141.51 tff(33036,plain,
% 218.90/141.51 ((~(v107(constB7) <=> (v108(constB7) | v119(constB7)))) | (~v107(constB7)) | (v108(constB7) | v119(constB7))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33037,plain,
% 218.90/141.51 ((~v107(constB7)) | (v108(constB7) | v119(constB7))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33036, 32755])).
% 218.90/141.51 tff(33038,plain,
% 218.90/141.51 (v108(constB7) | v119(constB7)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33037, 33035])).
% 218.90/141.51 tff(33039,plain,
% 218.90/141.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B))))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33040,plain,
% 218.90/141.51 (((~v94(constB8)) | ![B: $int] : ((v84(constB8, B) <=> v123(constB8, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B))))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33041,plain,
% 218.90/141.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB8)) | ![B: $int] : ((v84(constB8, B) <=> v123(constB8, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))))),
% 218.90/141.51 inference(monotonicity,[status(thm)],[33040])).
% 218.90/141.51 tff(33042,plain,
% 218.90/141.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB8)) | ![B: $int] : ((v84(constB8, B) <=> v123(constB8, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B))))),
% 218.90/141.51 inference(transitivity,[status(thm)],[33041, 33039])).
% 218.90/141.51 tff(33043,plain,
% 218.90/141.51 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB8)) | ![B: $int] : ((v84(constB8, B) <=> v123(constB8, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.51 inference(quant_inst,[status(thm)],[])).
% 218.90/141.51 tff(33044,plain,
% 218.90/141.51 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))),
% 218.90/141.51 inference(modus_ponens,[status(thm)],[33043, 33042])).
% 218.90/141.51 tff(33045,plain,
% 218.90/141.51 ((~v94(constB8)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33044, 1491])).
% 218.90/141.51 tff(33046,plain,
% 218.90/141.51 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33045, 33016])).
% 218.90/141.51 tff(33047,assumption,(~(v84(constB8, 0) <=> v123(constB8, 0))), introduced(assumption)).
% 218.90/141.51 tff(33048,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))), introduced(assumption)).
% 218.90/141.51 tff(33049,plain,
% 218.90/141.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))) | (v84(constB8, 0) <=> v123(constB8, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))) | (v84(constB8, 0) <=> v123(constB8, 0)))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33050,plain,
% 218.90/141.51 (($false | $false | (v84(constB8, 0) <=> v123(constB8, 0))) <=> (v84(constB8, 0) <=> v123(constB8, 0))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33051,plain,
% 218.90/141.51 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB8, 0) <=> v123(constB8, 0))) <=> ($false | $false | (v84(constB8, 0) <=> v123(constB8, 0)))),
% 218.90/141.51 inference(monotonicity,[status(thm)],[250, 249])).
% 218.90/141.51 tff(33052,plain,
% 218.90/141.51 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB8, 0) <=> v123(constB8, 0))) <=> (v84(constB8, 0) <=> v123(constB8, 0))),
% 218.90/141.51 inference(transitivity,[status(thm)],[33051, 33050])).
% 218.90/141.51 tff(33053,plain,
% 218.90/141.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB8, 0) <=> v123(constB8, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))) | (v84(constB8, 0) <=> v123(constB8, 0)))),
% 218.90/141.51 inference(monotonicity,[status(thm)],[33052])).
% 218.90/141.51 tff(33054,plain,
% 218.90/141.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB8, 0) <=> v123(constB8, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))) | (v84(constB8, 0) <=> v123(constB8, 0)))),
% 218.90/141.51 inference(transitivity,[status(thm)],[33053, 33049])).
% 218.90/141.51 tff(33055,plain,
% 218.90/141.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB8, 0) <=> v123(constB8, 0)))),
% 218.90/141.51 inference(quant_inst,[status(thm)],[])).
% 218.90/141.51 tff(33056,plain,
% 218.90/141.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B)))) | (v84(constB8, 0) <=> v123(constB8, 0))),
% 218.90/141.51 inference(modus_ponens,[status(thm)],[33055, 33054])).
% 218.90/141.51 tff(33057,plain,
% 218.90/141.51 ($false),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33056, 33048, 33047])).
% 218.90/141.51 tff(33058,plain,((v84(constB8, 0) <=> v123(constB8, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB8, B) <=> v123(constB8, B))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.51 tff(33059,plain,
% 218.90/141.51 (v84(constB8, 0) <=> v123(constB8, 0)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33058, 33046])).
% 218.90/141.51 tff(33060,plain,
% 218.90/141.51 (~v84(constB37, 1)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[32139, 28871])).
% 218.90/141.51 tff(33061,assumption,(~(v84(constB37, 1) <=> v84(constB36, 1))), introduced(assumption)).
% 218.90/141.51 tff(33062,plain,
% 218.90/141.51 ($false),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[31941, 31933, 33061])).
% 218.90/141.51 tff(33063,plain,(v84(constB37, 1) <=> v84(constB36, 1)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.51 tff(33064,plain,
% 218.90/141.51 (v84(constB37, 1) | (~v84(constB36, 1))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[32136, 33063])).
% 218.90/141.51 tff(33065,plain,
% 218.90/141.51 (~v84(constB36, 1)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33064, 33060])).
% 218.90/141.51 tff(33066,assumption,(~v84(constB36, 1)), introduced(assumption)).
% 218.90/141.51 tff(33067,assumption,(~v94(constB36)), introduced(assumption)).
% 218.90/141.51 tff(33068,plain,
% 218.90/141.51 ((~(v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36)))))) | v94(constB36) | ((~v95(constB36)) | (~v104(constB36)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33069,plain,
% 218.90/141.51 (v94(constB36) | ((~v95(constB36)) | (~v104(constB36)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33068, 32112])).
% 218.90/141.51 tff(33070,plain,
% 218.90/141.51 ((~v95(constB36)) | (~v104(constB36))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33069, 33067])).
% 218.90/141.51 tff(33071,plain,
% 218.90/141.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33072,plain,
% 218.90/141.51 (((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36)))))) <=> ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33073,plain,
% 218.90/141.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36)))))))),
% 218.90/141.51 inference(monotonicity,[status(thm)],[33072])).
% 218.90/141.51 tff(33074,plain,
% 218.90/141.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))),
% 218.90/141.51 inference(transitivity,[status(thm)],[33073, 33071])).
% 218.90/141.51 tff(33075,plain,
% 218.90/141.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36))))))),
% 218.90/141.51 inference(quant_inst,[status(thm)],[])).
% 218.90/141.51 tff(33076,plain,
% 218.90/141.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36)))))),
% 218.90/141.51 inference(modus_ponens,[status(thm)],[33075, 33074])).
% 218.90/141.51 tff(33077,plain,
% 218.90/141.51 (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33076, 32099, 37])).
% 218.90/141.51 tff(33078,plain,
% 218.90/141.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36)))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33079,plain,
% 218.90/141.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36)))),
% 218.90/141.51 inference(quant_inst,[status(thm)],[])).
% 218.90/141.51 tff(33080,plain,
% 218.90/141.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36))),
% 218.90/141.51 inference(modus_ponens,[status(thm)],[33079, 33078])).
% 218.90/141.51 tff(33081,plain,
% 218.90/141.51 ((~v96(constB36)) <=> v98(constB36)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33080, 32099, 54])).
% 218.90/141.51 tff(33082,plain,
% 218.90/141.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35)))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33083,plain,
% 218.90/141.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35)))),
% 218.90/141.51 inference(quant_inst,[status(thm)],[])).
% 218.90/141.51 tff(33084,plain,
% 218.90/141.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35))),
% 218.90/141.51 inference(modus_ponens,[status(thm)],[33083, 33082])).
% 218.90/141.51 tff(33085,plain,
% 218.90/141.51 (v98(constB36) <=> v1(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33084, 32099, 68])).
% 218.90/141.51 tff(33086,plain,
% 218.90/141.51 ((~(v98(constB36) <=> v1(constB35))) | (~v98(constB36)) | v1(constB35)),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33087,plain,
% 218.90/141.51 ((~(v98(constB36) <=> v1(constB35))) | (~v98(constB36))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33086, 31745])).
% 218.90/141.51 tff(33088,plain,
% 218.90/141.51 (~v98(constB36)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33087, 33085])).
% 218.90/141.51 tff(33089,plain,
% 218.90/141.51 ((~((~v96(constB36)) <=> v98(constB36))) | v96(constB36) | v98(constB36)),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33090,plain,
% 218.90/141.51 (v96(constB36)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33089, 33088, 33081])).
% 218.90/141.51 tff(33091,plain,
% 218.90/141.51 (v1(constB36) <=> v1(constB36)),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33092,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36')).
% 218.90/141.51 tff(33093,plain,
% 218.90/141.51 (v1(constB36)),
% 218.90/141.51 inference(modus_ponens,[status(thm)],[33092, 33091])).
% 218.90/141.51 tff(33094,plain,
% 218.90/141.51 ((~((~v1(constB36)) | (~v96(constB36)))) | (~v1(constB36)) | (~v96(constB36))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33095,plain,
% 218.90/141.51 ((~((~v1(constB36)) | (~v96(constB36)))) | (~v96(constB36))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33094, 33093])).
% 218.90/141.51 tff(33096,plain,
% 218.90/141.51 (~((~v1(constB36)) | (~v96(constB36)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33095, 33090])).
% 218.90/141.51 tff(33097,plain,
% 218.90/141.51 ((~(v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36)))))) | v95(constB36) | ((~v1(constB36)) | (~v96(constB36)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33098,plain,
% 218.90/141.51 (v95(constB36)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33097, 33096, 33077])).
% 218.90/141.51 tff(33099,plain,
% 218.90/141.51 ((~((~v95(constB36)) | (~v104(constB36)))) | (~v95(constB36)) | (~v104(constB36))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33100,plain,
% 218.90/141.51 ((~((~v95(constB36)) | (~v104(constB36)))) | (~v104(constB36))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33099, 33098])).
% 218.90/141.51 tff(33101,plain,
% 218.90/141.51 (~v104(constB36)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33100, 33070])).
% 218.90/141.51 tff(33102,plain,
% 218.90/141.51 ((~(v104(constB36) <=> v102(constB35))) | v104(constB36) | (~v102(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33103,plain,
% 218.90/141.51 (v104(constB36) | (~v102(constB35))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33102, 32103])).
% 218.90/141.51 tff(33104,plain,
% 218.90/141.51 (~v102(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33103, 33101])).
% 218.90/141.51 tff(33105,plain,
% 218.90/141.51 ((~(v102(constB35) <=> (v105(constB35) | v106(constB35)))) | v102(constB35) | (~(v105(constB35) | v106(constB35)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33106,plain,
% 218.90/141.51 (v102(constB35) | (~(v105(constB35) | v106(constB35)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33105, 32093])).
% 218.90/141.51 tff(33107,plain,
% 218.90/141.51 (~(v105(constB35) | v106(constB35))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33106, 33104])).
% 218.90/141.51 tff(33108,plain,
% 218.90/141.51 ((v105(constB35) | v106(constB35)) | (~v106(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33109,plain,
% 218.90/141.51 (~v106(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33108, 33107])).
% 218.90/141.51 tff(33110,plain,
% 218.90/141.51 ((~(v106(constB35) <=> (~((~v107(constB35)) | (~v120(constB35)))))) | v106(constB35) | ((~v107(constB35)) | (~v120(constB35)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33111,plain,
% 218.90/141.51 (v106(constB35) | ((~v107(constB35)) | (~v120(constB35)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33110, 32078])).
% 218.90/141.51 tff(33112,plain,
% 218.90/141.51 ((~v107(constB35)) | (~v120(constB35))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33111, 33109])).
% 218.90/141.51 tff(33113,plain,
% 218.90/141.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB35)) <=> v105(constB35))),
% 218.90/141.51 inference(quant_inst,[status(thm)],[])).
% 218.90/141.51 tff(33114,plain,
% 218.90/141.51 ((~v120(constB35)) <=> v105(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33113, 144])).
% 218.90/141.51 tff(33115,plain,
% 218.90/141.51 ((~((~v120(constB35)) <=> v105(constB35))) | v120(constB35) | v105(constB35)),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33116,plain,
% 218.90/141.51 ((~((~v120(constB35)) <=> v105(constB35))) | v120(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33115, 32088])).
% 218.90/141.51 tff(33117,plain,
% 218.90/141.51 (v120(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33116, 33114])).
% 218.90/141.51 tff(33118,plain,
% 218.90/141.51 ((~((~v107(constB35)) | (~v120(constB35)))) | (~v107(constB35)) | (~v120(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33119,plain,
% 218.90/141.51 ((~((~v107(constB35)) | (~v120(constB35)))) | (~v107(constB35))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33118, 33117])).
% 218.90/141.51 tff(33120,plain,
% 218.90/141.51 (~v107(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33119, 33112])).
% 218.90/141.51 tff(33121,assumption,(~(v107(constB35) <=> (v108(constB35) | v119(constB35)))), introduced(assumption)).
% 218.90/141.51 tff(33122,plain,
% 218.90/141.51 ($false),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[31943, 187, 33121])).
% 218.90/141.51 tff(33123,plain,(v107(constB35) <=> (v108(constB35) | v119(constB35))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.51 tff(33124,plain,
% 218.90/141.51 ((~(v107(constB35) <=> (v108(constB35) | v119(constB35)))) | v107(constB35) | (~(v108(constB35) | v119(constB35)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33125,plain,
% 218.90/141.51 (v107(constB35) | (~(v108(constB35) | v119(constB35)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33124, 33123])).
% 218.90/141.51 tff(33126,plain,
% 218.90/141.51 (~(v108(constB35) | v119(constB35))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33125, 33120])).
% 218.90/141.51 tff(33127,assumption,(~(v108(constB35) | v119(constB35))), introduced(assumption)).
% 218.90/141.51 tff(33128,plain,
% 218.90/141.51 ((v108(constB35) | v119(constB35)) | (~v119(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33129,plain,
% 218.90/141.51 (~v119(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33128, 33127])).
% 218.90/141.51 tff(33130,plain,
% 218.90/141.51 ((~(v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))))) | v119(constB35) | (v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33131,plain,
% 218.90/141.51 (v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33130, 33129, 31951])).
% 218.90/141.51 tff(33132,plain,
% 218.90/141.51 ((v108(constB35) | v119(constB35)) | (~v108(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33133,plain,
% 218.90/141.51 (~v108(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33132, 33127])).
% 218.90/141.51 tff(33134,plain,
% 218.90/141.51 ((~(v108(constB35) <=> (v109(constB35) | v118(constB35)))) | v108(constB35) | (~(v109(constB35) | v118(constB35)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33135,plain,
% 218.90/141.51 (~(v109(constB35) | v118(constB35))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33134, 33133, 31970])).
% 218.90/141.51 tff(33136,plain,
% 218.90/141.51 ((v109(constB35) | v118(constB35)) | (~v109(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33137,plain,
% 218.90/141.51 (~v109(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33136, 33135])).
% 218.90/141.51 tff(33138,plain,
% 218.90/141.51 ((~(v109(constB35) <=> (v110(constB35) | v117(constB35)))) | v109(constB35) | (~(v110(constB35) | v117(constB35)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33139,plain,
% 218.90/141.51 (~(v110(constB35) | v117(constB35))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33138, 33137, 31972])).
% 218.90/141.51 tff(33140,plain,
% 218.90/141.51 ((v110(constB35) | v117(constB35)) | (~v117(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33141,plain,
% 218.90/141.51 (~v117(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33140, 33139])).
% 218.90/141.51 tff(33142,plain,
% 218.90/141.51 ((~(v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))) | v117(constB35) | (v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33143,plain,
% 218.90/141.51 (v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33142, 33141, 32036])).
% 218.90/141.51 tff(33144,assumption,(~v84(constB35, 0)), introduced(assumption)).
% 218.90/141.51 tff(33145,plain,
% 218.90/141.51 ((v110(constB35) | v117(constB35)) | (~v110(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33146,plain,
% 218.90/141.51 (~v110(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33145, 33139])).
% 218.90/141.51 tff(33147,plain,
% 218.90/141.51 ((~(v110(constB35) <=> (v111(constB35) | v116(constB35)))) | v110(constB35) | (~(v111(constB35) | v116(constB35)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33148,plain,
% 218.90/141.51 (~(v111(constB35) | v116(constB35))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33147, 33146, 31974])).
% 218.90/141.51 tff(33149,plain,
% 218.90/141.51 ((v111(constB35) | v116(constB35)) | (~v111(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33150,plain,
% 218.90/141.51 (~v111(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33149, 33148])).
% 218.90/141.51 tff(33151,plain,
% 218.90/141.51 ((~(v111(constB35) <=> (v112(constB35) | v115(constB35)))) | v111(constB35) | (~(v112(constB35) | v115(constB35)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33152,plain,
% 218.90/141.51 (~(v112(constB35) | v115(constB35))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33151, 33150, 31976])).
% 218.90/141.51 tff(33153,plain,
% 218.90/141.51 ((v112(constB35) | v115(constB35)) | (~v112(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33154,plain,
% 218.90/141.51 (~v112(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33153, 33152])).
% 218.90/141.51 tff(33155,plain,
% 218.90/141.51 ((~(v112(constB35) <=> (v113(constB35) | v114(constB35)))) | v112(constB35) | (~(v113(constB35) | v114(constB35)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33156,plain,
% 218.90/141.51 (~(v113(constB35) | v114(constB35))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33155, 33154, 31978])).
% 218.90/141.51 tff(33157,plain,
% 218.90/141.51 ((v113(constB35) | v114(constB35)) | (~v113(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33158,plain,
% 218.90/141.51 (~v113(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33157, 33156])).
% 218.90/141.51 tff(33159,plain,
% 218.90/141.51 ((~(v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))))) | v113(constB35) | (v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33160,plain,
% 218.90/141.51 (v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33159, 33158, 31985])).
% 218.90/141.51 tff(33161,assumption,(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)), introduced(assumption)).
% 218.90/141.51 tff(33162,assumption,(~v84(constB35, 1)), introduced(assumption)).
% 218.90/141.51 tff(33163,assumption,(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))), introduced(assumption)).
% 218.90/141.51 tff(33164,plain,
% 218.90/141.51 ((~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))) | v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33165,plain,
% 218.90/141.51 (~v84(constB35, 2)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33164, 33162, 33144, 33163])).
% 218.90/141.51 tff(33166,plain,
% 218.90/141.51 ((~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))) | v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33167,plain,
% 218.90/141.51 ((~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))) | v84(constB35, 1) | v84(constB35, 2)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33166, 33144])).
% 218.90/141.51 tff(33168,plain,
% 218.90/141.51 ($false),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33167, 33165, 33162, 33161])).
% 218.90/141.51 tff(33169,plain,(v84(constB35, 1) | (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))) | v84(constB35, 0) | (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.51 tff(33170,plain,
% 218.90/141.51 (v84(constB35, 1)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33169, 33160, 33144, 33143])).
% 218.90/141.51 tff(33171,plain,
% 218.90/141.51 ((v112(constB35) | v115(constB35)) | (~v115(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33172,plain,
% 218.90/141.51 (~v115(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33171, 33152])).
% 218.90/141.51 tff(33173,plain,
% 218.90/141.51 ((~(v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))) | v115(constB35) | (v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33174,plain,
% 218.90/141.51 (v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33173, 33172, 32002])).
% 218.90/141.51 tff(33175,plain,
% 218.90/141.51 ((~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))) | v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33176,plain,
% 218.90/141.51 ((~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))) | v84(constB35, 2) | (~v84(constB35, 1))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33175, 33144])).
% 218.90/141.51 tff(33177,plain,
% 218.90/141.51 (v84(constB35, 2)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33176, 33170, 33174])).
% 218.90/141.51 tff(33178,plain,
% 218.90/141.51 ((~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))) | v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33179,plain,
% 218.90/141.51 ((~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))) | (~v84(constB35, 2)) | (~v84(constB35, 1))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33178, 33144])).
% 218.90/141.51 tff(33180,plain,
% 218.90/141.51 ($false),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33179, 33177, 33170, 33131])).
% 218.90/141.51 tff(33181,plain,((v108(constB35) | v119(constB35)) | v84(constB35, 0)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.51 tff(33182,plain,
% 218.90/141.51 (v84(constB35, 0)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33181, 33126])).
% 218.90/141.51 tff(33183,assumption,(v114(constB35)), introduced(assumption)).
% 218.90/141.51 tff(33184,plain,
% 218.90/141.51 ((v113(constB35) | v114(constB35)) | (~v114(constB35))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33185,plain,
% 218.90/141.51 (v113(constB35) | v114(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33184, 33183])).
% 218.90/141.51 tff(33186,plain,
% 218.90/141.51 (v112(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33155, 33185, 31978])).
% 218.90/141.51 tff(33187,plain,
% 218.90/141.51 (v112(constB35) | v115(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33153, 33186])).
% 218.90/141.51 tff(33188,plain,
% 218.90/141.51 (v111(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33151, 33187, 31976])).
% 218.90/141.51 tff(33189,plain,
% 218.90/141.51 (v111(constB35) | v116(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33149, 33188])).
% 218.90/141.51 tff(33190,plain,
% 218.90/141.51 (v110(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33147, 33189, 31974])).
% 218.90/141.51 tff(33191,plain,
% 218.90/141.51 (v110(constB35) | v117(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33145, 33190])).
% 218.90/141.51 tff(33192,plain,
% 218.90/141.51 (v109(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33138, 33191, 31972])).
% 218.90/141.51 tff(33193,plain,
% 218.90/141.51 (v109(constB35) | v118(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33136, 33192])).
% 218.90/141.51 tff(33194,plain,
% 218.90/141.51 (v108(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33134, 33193, 31970])).
% 218.90/141.51 tff(33195,plain,
% 218.90/141.51 (v108(constB35) | v119(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33132, 33194])).
% 218.90/141.51 tff(33196,plain,
% 218.90/141.51 (v107(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33125, 33195])).
% 218.90/141.51 tff(33197,plain,
% 218.90/141.51 (~((~v107(constB35)) | (~v120(constB35)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33119, 33196])).
% 218.90/141.51 tff(33198,plain,
% 218.90/141.51 (v106(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33111, 33197])).
% 218.90/141.51 tff(33199,plain,
% 218.90/141.51 (v105(constB35) | v106(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33108, 33198])).
% 218.90/141.51 tff(33200,plain,
% 218.90/141.51 (v102(constB35)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33106, 33199])).
% 218.90/141.51 tff(33201,plain,
% 218.90/141.51 (v104(constB36)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33103, 33200])).
% 218.90/141.51 tff(33202,plain,
% 218.90/141.51 (~((~v95(constB36)) | (~v104(constB36)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33100, 33201])).
% 218.90/141.51 tff(33203,plain,
% 218.90/141.51 (v94(constB36)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33069, 33202])).
% 218.90/141.51 tff(33204,plain,
% 218.90/141.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B))))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33205,plain,
% 218.90/141.51 (((~v94(constB36)) | ![B: $int] : ((v84(constB36, B) <=> v123(constB36, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B))))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33206,plain,
% 218.90/141.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB36)) | ![B: $int] : ((v84(constB36, B) <=> v123(constB36, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))))),
% 218.90/141.51 inference(monotonicity,[status(thm)],[33205])).
% 218.90/141.51 tff(33207,plain,
% 218.90/141.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB36)) | ![B: $int] : ((v84(constB36, B) <=> v123(constB36, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B))))),
% 218.90/141.51 inference(transitivity,[status(thm)],[33206, 33204])).
% 218.90/141.51 tff(33208,plain,
% 218.90/141.51 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB36)) | ![B: $int] : ((v84(constB36, B) <=> v123(constB36, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.51 inference(quant_inst,[status(thm)],[])).
% 218.90/141.51 tff(33209,plain,
% 218.90/141.51 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))),
% 218.90/141.51 inference(modus_ponens,[status(thm)],[33208, 33207])).
% 218.90/141.51 tff(33210,plain,
% 218.90/141.51 ((~v94(constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33209, 1491])).
% 218.90/141.51 tff(33211,plain,
% 218.90/141.51 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33210, 33203])).
% 218.90/141.51 tff(33212,assumption,(~(v84(constB36, 1) <=> v123(constB36, 1))), introduced(assumption)).
% 218.90/141.51 tff(33213,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))), introduced(assumption)).
% 218.90/141.51 tff(33214,plain,
% 218.90/141.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 1) <=> v123(constB36, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 1) <=> v123(constB36, 1)))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33215,plain,
% 218.90/141.51 (($false | $false | (v84(constB36, 1) <=> v123(constB36, 1))) <=> (v84(constB36, 1) <=> v123(constB36, 1))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33216,plain,
% 218.90/141.51 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB36, 1) <=> v123(constB36, 1))) <=> ($false | $false | (v84(constB36, 1) <=> v123(constB36, 1)))),
% 218.90/141.51 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.51 tff(33217,plain,
% 218.90/141.51 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB36, 1) <=> v123(constB36, 1))) <=> (v84(constB36, 1) <=> v123(constB36, 1))),
% 218.90/141.51 inference(transitivity,[status(thm)],[33216, 33215])).
% 218.90/141.51 tff(33218,plain,
% 218.90/141.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB36, 1) <=> v123(constB36, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 1) <=> v123(constB36, 1)))),
% 218.90/141.51 inference(monotonicity,[status(thm)],[33217])).
% 218.90/141.51 tff(33219,plain,
% 218.90/141.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB36, 1) <=> v123(constB36, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 1) <=> v123(constB36, 1)))),
% 218.90/141.51 inference(transitivity,[status(thm)],[33218, 33214])).
% 218.90/141.51 tff(33220,plain,
% 218.90/141.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB36, 1) <=> v123(constB36, 1)))),
% 218.90/141.51 inference(quant_inst,[status(thm)],[])).
% 218.90/141.51 tff(33221,plain,
% 218.90/141.51 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 1) <=> v123(constB36, 1))),
% 218.90/141.51 inference(modus_ponens,[status(thm)],[33220, 33219])).
% 218.90/141.51 tff(33222,plain,
% 218.90/141.51 ($false),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33221, 33213, 33212])).
% 218.90/141.51 tff(33223,plain,((v84(constB36, 1) <=> v123(constB36, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.51 tff(33224,plain,
% 218.90/141.51 (v84(constB36, 1) <=> v123(constB36, 1)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33223, 33211])).
% 218.90/141.51 tff(33225,plain,
% 218.90/141.51 ((~(v84(constB36, 1) <=> v123(constB36, 1))) | v84(constB36, 1) | (~v123(constB36, 1))),
% 218.90/141.51 inference(tautology,[status(thm)],[])).
% 218.90/141.51 tff(33226,plain,
% 218.90/141.51 (~v123(constB36, 1)),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33225, 33224, 33066])).
% 218.90/141.51 tff(33227,assumption,(~(v123(constB36, 1) <=> v121(constB35, 1))), introduced(assumption)).
% 218.90/141.51 tff(33228,plain,
% 218.90/141.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B))))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33229,plain,
% 218.90/141.51 (((~nextState(constB35, constB36)) | ![B: $int] : ((v123(constB36, B) <=> v121(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B))))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33230,plain,
% 218.90/141.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB35, constB36)) | ![B: $int] : ((v123(constB36, B) <=> v121(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))))),
% 218.90/141.51 inference(monotonicity,[status(thm)],[33229])).
% 218.90/141.51 tff(33231,plain,
% 218.90/141.51 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB35, constB36)) | ![B: $int] : ((v123(constB36, B) <=> v121(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B))))),
% 218.90/141.51 inference(transitivity,[status(thm)],[33230, 33228])).
% 218.90/141.51 tff(33232,plain,
% 218.90/141.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB35, constB36)) | ![B: $int] : ((v123(constB36, B) <=> v121(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.51 inference(quant_inst,[status(thm)],[])).
% 218.90/141.51 tff(33233,plain,
% 218.90/141.51 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB35, constB36)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))),
% 218.90/141.51 inference(modus_ponens,[status(thm)],[33232, 33231])).
% 218.90/141.51 tff(33234,plain,
% 218.90/141.51 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))),
% 218.90/141.51 inference(unit_resolution,[status(thm)],[33233, 32099, 1527])).
% 218.90/141.51 tff(33235,plain,
% 218.90/141.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 1) <=> v121(constB35, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 1) <=> v121(constB35, 1)))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33236,plain,
% 218.90/141.51 (($false | $false | (v123(constB36, 1) <=> v121(constB35, 1))) <=> (v123(constB36, 1) <=> v121(constB35, 1))),
% 218.90/141.51 inference(rewrite,[status(thm)],[])).
% 218.90/141.51 tff(33237,plain,
% 218.90/141.51 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB36, 1) <=> v121(constB35, 1))) <=> ($false | $false | (v123(constB36, 1) <=> v121(constB35, 1)))),
% 218.90/141.51 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.51 tff(33238,plain,
% 218.90/141.51 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB36, 1) <=> v121(constB35, 1))) <=> (v123(constB36, 1) <=> v121(constB35, 1))),
% 218.90/141.51 inference(transitivity,[status(thm)],[33237, 33236])).
% 218.90/141.51 tff(33239,plain,
% 218.90/141.51 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB36, 1) <=> v121(constB35, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 1) <=> v121(constB35, 1)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33238])).
% 218.90/141.52 tff(33240,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB36, 1) <=> v121(constB35, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 1) <=> v121(constB35, 1)))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33239, 33235])).
% 218.90/141.52 tff(33241,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB36, 1) <=> v121(constB35, 1)))),
% 218.90/141.52 inference(quant_inst,[status(thm)],[])).
% 218.90/141.52 tff(33242,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 1) <=> v121(constB35, 1))),
% 218.90/141.52 inference(modus_ponens,[status(thm)],[33241, 33240])).
% 218.90/141.52 tff(33243,plain,
% 218.90/141.52 ($false),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33242, 33234, 33227])).
% 218.90/141.52 tff(33244,plain,(v123(constB36, 1) <=> v121(constB35, 1)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.52 tff(33245,plain,
% 218.90/141.52 ((~(v123(constB36, 1) <=> v121(constB35, 1))) | v123(constB36, 1) | (~v121(constB35, 1))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33246,plain,
% 218.90/141.52 (v123(constB36, 1) | (~v121(constB35, 1))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33245, 33244])).
% 218.90/141.52 tff(33247,plain,
% 218.90/141.52 (~v121(constB35, 1)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33246, 33226])).
% 218.90/141.52 tff(33248,assumption,(~(v121(constB35, 1) <=> v124(constB35, 1))), introduced(assumption)).
% 218.90/141.52 tff(33249,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B))))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33250,plain,
% 218.90/141.52 ((v105(constB35) | ![B: $int] : ((v121(constB35, B) <=> v124(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B))))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33251,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB35) | ![B: $int] : ((v121(constB35, B) <=> v124(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33250])).
% 218.90/141.52 tff(33252,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB35) | ![B: $int] : ((v121(constB35, B) <=> v124(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B))))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33251, 33249])).
% 218.90/141.52 tff(33253,plain,
% 218.90/141.52 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB35) | ![B: $int] : ((v121(constB35, B) <=> v124(constB35, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.52 inference(quant_inst,[status(thm)],[])).
% 218.90/141.52 tff(33254,plain,
% 218.90/141.52 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))),
% 218.90/141.52 inference(modus_ponens,[status(thm)],[33253, 33252])).
% 218.90/141.52 tff(33255,plain,
% 218.90/141.52 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33254, 1562, 32088])).
% 218.90/141.52 tff(33256,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 1) <=> v124(constB35, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 1) <=> v124(constB35, 1)))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33257,plain,
% 218.90/141.52 (($false | $false | (v121(constB35, 1) <=> v124(constB35, 1))) <=> (v121(constB35, 1) <=> v124(constB35, 1))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33258,plain,
% 218.90/141.52 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB35, 1) <=> v124(constB35, 1))) <=> ($false | $false | (v121(constB35, 1) <=> v124(constB35, 1)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.52 tff(33259,plain,
% 218.90/141.52 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB35, 1) <=> v124(constB35, 1))) <=> (v121(constB35, 1) <=> v124(constB35, 1))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33258, 33257])).
% 218.90/141.52 tff(33260,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB35, 1) <=> v124(constB35, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 1) <=> v124(constB35, 1)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33259])).
% 218.90/141.52 tff(33261,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB35, 1) <=> v124(constB35, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 1) <=> v124(constB35, 1)))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33260, 33256])).
% 218.90/141.52 tff(33262,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB35, 1) <=> v124(constB35, 1)))),
% 218.90/141.52 inference(quant_inst,[status(thm)],[])).
% 218.90/141.52 tff(33263,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 1) <=> v124(constB35, 1))),
% 218.90/141.52 inference(modus_ponens,[status(thm)],[33262, 33261])).
% 218.90/141.52 tff(33264,plain,
% 218.90/141.52 ($false),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33263, 33255, 33248])).
% 218.90/141.52 tff(33265,plain,(v121(constB35, 1) <=> v124(constB35, 1)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.52 tff(33266,plain,
% 218.90/141.52 ((~(v121(constB35, 1) <=> v124(constB35, 1))) | v121(constB35, 1) | (~v124(constB35, 1))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33267,plain,
% 218.90/141.52 (v121(constB35, 1) | (~v124(constB35, 1))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33266, 33265])).
% 218.90/141.52 tff(33268,plain,
% 218.90/141.52 (~v124(constB35, 1)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33267, 33247])).
% 218.90/141.52 tff(33269,plain,
% 218.90/141.52 ((~(v124(constB35, 1) <=> b010(1))) | v124(constB35, 1) | (~b010(1))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33270,plain,
% 218.90/141.52 (~(v124(constB35, 1) <=> b010(1))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33269, 2513, 33268])).
% 218.90/141.52 tff(33271,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B))))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33272,plain,
% 218.90/141.52 (((~v114(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B))))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33273,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33272])).
% 218.90/141.52 tff(33274,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B))))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33273, 33271])).
% 218.90/141.52 tff(33275,plain,
% 218.90/141.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.52 inference(quant_inst,[status(thm)],[])).
% 218.90/141.52 tff(33276,plain,
% 218.90/141.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))),
% 218.90/141.52 inference(modus_ponens,[status(thm)],[33275, 33274])).
% 218.90/141.52 tff(33277,plain,
% 218.90/141.52 ((~v114(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33276, 2418])).
% 218.90/141.52 tff(33278,plain,
% 218.90/141.52 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33277, 33183])).
% 218.90/141.52 tff(33279,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))) | (v124(constB35, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))) | (v124(constB35, 1) <=> b010(1)))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33280,plain,
% 218.90/141.52 (($false | $false | (v124(constB35, 1) <=> b010(1))) <=> (v124(constB35, 1) <=> b010(1))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33281,plain,
% 218.90/141.52 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b010(1))) <=> ($false | $false | (v124(constB35, 1) <=> b010(1)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.52 tff(33282,plain,
% 218.90/141.52 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b010(1))) <=> (v124(constB35, 1) <=> b010(1))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33281, 33280])).
% 218.90/141.52 tff(33283,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))) | (v124(constB35, 1) <=> b010(1)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33282])).
% 218.90/141.52 tff(33284,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))) | (v124(constB35, 1) <=> b010(1)))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33283, 33279])).
% 218.90/141.52 tff(33285,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b010(1)))),
% 218.90/141.52 inference(quant_inst,[status(thm)],[])).
% 218.90/141.52 tff(33286,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b010(B)))) | (v124(constB35, 1) <=> b010(1))),
% 218.90/141.52 inference(modus_ponens,[status(thm)],[33285, 33284])).
% 218.90/141.52 tff(33287,plain,
% 218.90/141.52 ($false),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33286, 33278, 33270])).
% 218.90/141.52 tff(33288,plain,((~v114(constB35)) | v84(constB36, 1)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.52 tff(33289,plain,
% 218.90/141.52 (~v114(constB35)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33288, 33066])).
% 218.90/141.52 tff(33290,plain,
% 218.90/141.52 ((~(v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))))) | v114(constB35) | (v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33291,plain,
% 218.90/141.52 ((~(v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))))) | (v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33290, 33289])).
% 218.90/141.52 tff(33292,plain,
% 218.90/141.52 (v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33291, 31980])).
% 218.90/141.52 tff(33293,plain,
% 218.90/141.52 (~v108(constB35)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33132, 33126])).
% 218.90/141.52 tff(33294,plain,
% 218.90/141.52 (~(v109(constB35) | v118(constB35))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33134, 33293, 31970])).
% 218.90/141.52 tff(33295,plain,
% 218.90/141.52 ((v109(constB35) | v118(constB35)) | (~v118(constB35))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33296,plain,
% 218.90/141.52 (~v118(constB35)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33295, 33294])).
% 218.90/141.52 tff(33297,plain,
% 218.90/141.52 ((~(v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))))) | v118(constB35) | (v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33298,plain,
% 218.90/141.52 ((~(v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))))) | (v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33297, 33296])).
% 218.90/141.52 tff(33299,plain,
% 218.90/141.52 (v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33298, 32060])).
% 218.90/141.52 tff(33300,assumption,(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))), introduced(assumption)).
% 218.90/141.52 tff(33301,assumption,(v84(constB35, 0)), introduced(assumption)).
% 218.90/141.52 tff(33302,plain,
% 218.90/141.52 ((~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))) | v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33303,plain,
% 218.90/141.52 (v84(constB35, 2)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33302, 33162, 33301, 32248])).
% 218.90/141.52 tff(33304,plain,
% 218.90/141.52 ((~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))) | v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33305,plain,
% 218.90/141.52 ((~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))) | v84(constB35, 1) | (~v84(constB35, 2))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33304, 33301])).
% 218.90/141.52 tff(33306,plain,
% 218.90/141.52 ($false),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33305, 33303, 33162, 33300])).
% 218.90/141.52 tff(33307,plain,(v84(constB35, 1) | (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))) | (~v84(constB35, 0)) | (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.52 tff(33308,plain,
% 218.90/141.52 (v84(constB35, 1)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33307, 33299, 33292, 33182])).
% 218.90/141.52 tff(33309,plain,
% 218.90/141.52 (~(v84(constB36, 1) <=> v84(constB35, 1))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32133, 33308, 33066])).
% 218.90/141.52 tff(33310,plain,
% 218.90/141.52 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32122, 33067])).
% 218.90/141.52 tff(33311,plain,
% 218.90/141.52 ($false),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32131, 33310, 33309])).
% 218.90/141.52 tff(33312,plain,(v94(constB36) | v84(constB36, 1)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.52 tff(33313,plain,
% 218.90/141.52 (v94(constB36)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33312, 33065])).
% 218.90/141.52 tff(33314,plain,
% 218.90/141.52 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33210, 33313])).
% 218.90/141.52 tff(33315,plain,
% 218.90/141.52 (v84(constB36, 1) <=> v123(constB36, 1)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33223, 33314])).
% 218.90/141.52 tff(33316,assumption,(v123(constB34, 0)), introduced(assumption)).
% 218.90/141.52 tff(33317,plain,
% 218.90/141.52 (~((~v95(constB36)) | (~v104(constB36)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32114, 33313])).
% 218.90/141.52 tff(33318,plain,
% 218.90/141.52 (v104(constB36)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32107, 33317])).
% 218.90/141.52 tff(33319,plain,
% 218.90/141.52 (v102(constB35)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32105, 33318])).
% 218.90/141.52 tff(33320,plain,
% 218.90/141.52 (v105(constB35) | v106(constB35)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32095, 33319])).
% 218.90/141.52 tff(33321,plain,
% 218.90/141.52 (v106(constB35)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32090, 33320])).
% 218.90/141.52 tff(33322,plain,
% 218.90/141.52 (~((~v107(constB35)) | (~v120(constB35)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32080, 33321])).
% 218.90/141.52 tff(33323,plain,
% 218.90/141.52 (v107(constB35)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32075, 33322])).
% 218.90/141.52 tff(33324,plain,
% 218.90/141.52 ((~v107(constB35)) | (v108(constB35) | v119(constB35))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32073, 33123])).
% 218.90/141.52 tff(33325,plain,
% 218.90/141.52 (v108(constB35) | v119(constB35)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33324, 33323])).
% 218.90/141.52 tff(33326,plain,
% 218.90/141.52 ((v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))) | (~v84(constB37, 2))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33327,plain,
% 218.90/141.52 (~v84(constB37, 2)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33326, 28871])).
% 218.90/141.52 tff(33328,assumption,(~(v84(constB37, 2) <=> v84(constB36, 2))), introduced(assumption)).
% 218.90/141.52 tff(33329,plain,
% 218.90/141.52 ($false),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32337, 31933, 33328])).
% 218.90/141.52 tff(33330,plain,(v84(constB37, 2) <=> v84(constB36, 2)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.52 tff(33331,plain,
% 218.90/141.52 (v84(constB37, 2) | (~v84(constB36, 2))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[32351, 33330])).
% 218.90/141.52 tff(33332,plain,
% 218.90/141.52 (~v84(constB36, 2)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33331, 33327])).
% 218.90/141.52 tff(33333,assumption,(~(v84(constB36, 2) <=> v123(constB36, 2))), introduced(assumption)).
% 218.90/141.52 tff(33334,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 2) <=> v123(constB36, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 2) <=> v123(constB36, 2)))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33335,plain,
% 218.90/141.52 (($false | $false | (v84(constB36, 2) <=> v123(constB36, 2))) <=> (v84(constB36, 2) <=> v123(constB36, 2))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33336,plain,
% 218.90/141.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB36, 2) <=> v123(constB36, 2))) <=> ($false | $false | (v84(constB36, 2) <=> v123(constB36, 2)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[534, 533])).
% 218.90/141.52 tff(33337,plain,
% 218.90/141.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB36, 2) <=> v123(constB36, 2))) <=> (v84(constB36, 2) <=> v123(constB36, 2))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33336, 33335])).
% 218.90/141.52 tff(33338,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB36, 2) <=> v123(constB36, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 2) <=> v123(constB36, 2)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33337])).
% 218.90/141.52 tff(33339,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB36, 2) <=> v123(constB36, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 2) <=> v123(constB36, 2)))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33338, 33334])).
% 218.90/141.52 tff(33340,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB36, 2) <=> v123(constB36, 2)))),
% 218.90/141.52 inference(quant_inst,[status(thm)],[])).
% 218.90/141.52 tff(33341,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 2) <=> v123(constB36, 2))),
% 218.90/141.52 inference(modus_ponens,[status(thm)],[33340, 33339])).
% 218.90/141.52 tff(33342,plain,
% 218.90/141.52 ($false),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33341, 33213, 33333])).
% 218.90/141.52 tff(33343,plain,((v84(constB36, 2) <=> v123(constB36, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B))))), inference(lemma,lemma(discharge,[]))).
% 218.90/141.52 tff(33344,plain,
% 218.90/141.52 (v84(constB36, 2) <=> v123(constB36, 2)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33343, 33314])).
% 218.90/141.52 tff(33345,plain,
% 218.90/141.52 ((~(v84(constB36, 2) <=> v123(constB36, 2))) | v84(constB36, 2) | (~v123(constB36, 2))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33346,plain,
% 218.90/141.52 (~v123(constB36, 2)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33345, 33344, 33332])).
% 218.90/141.52 tff(33347,assumption,(~(v123(constB36, 2) <=> v121(constB35, 2))), introduced(assumption)).
% 218.90/141.52 tff(33348,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 2) <=> v121(constB35, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 2) <=> v121(constB35, 2)))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33349,plain,
% 218.90/141.52 (($false | $false | (v123(constB36, 2) <=> v121(constB35, 2))) <=> (v123(constB36, 2) <=> v121(constB35, 2))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33350,plain,
% 218.90/141.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB36, 2) <=> v121(constB35, 2))) <=> ($false | $false | (v123(constB36, 2) <=> v121(constB35, 2)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[534, 533])).
% 218.90/141.52 tff(33351,plain,
% 218.90/141.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB36, 2) <=> v121(constB35, 2))) <=> (v123(constB36, 2) <=> v121(constB35, 2))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33350, 33349])).
% 218.90/141.52 tff(33352,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB36, 2) <=> v121(constB35, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 2) <=> v121(constB35, 2)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33351])).
% 218.90/141.52 tff(33353,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB36, 2) <=> v121(constB35, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 2) <=> v121(constB35, 2)))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33352, 33348])).
% 218.90/141.52 tff(33354,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB36, 2) <=> v121(constB35, 2)))),
% 218.90/141.52 inference(quant_inst,[status(thm)],[])).
% 218.90/141.52 tff(33355,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 2) <=> v121(constB35, 2))),
% 218.90/141.52 inference(modus_ponens,[status(thm)],[33354, 33353])).
% 218.90/141.52 tff(33356,plain,
% 218.90/141.52 ($false),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33355, 33234, 33347])).
% 218.90/141.52 tff(33357,plain,(v123(constB36, 2) <=> v121(constB35, 2)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.52 tff(33358,plain,
% 218.90/141.52 ((~(v123(constB36, 2) <=> v121(constB35, 2))) | v123(constB36, 2) | (~v121(constB35, 2))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33359,plain,
% 218.90/141.52 (v123(constB36, 2) | (~v121(constB35, 2))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33358, 33357])).
% 218.90/141.52 tff(33360,plain,
% 218.90/141.52 (~v121(constB35, 2)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33359, 33346])).
% 218.90/141.52 tff(33361,assumption,(~(v121(constB35, 2) <=> v124(constB35, 2))), introduced(assumption)).
% 218.90/141.52 tff(33362,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 2) <=> v124(constB35, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 2) <=> v124(constB35, 2)))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33363,plain,
% 218.90/141.52 (($false | $false | (v121(constB35, 2) <=> v124(constB35, 2))) <=> (v121(constB35, 2) <=> v124(constB35, 2))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33364,plain,
% 218.90/141.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB35, 2) <=> v124(constB35, 2))) <=> ($false | $false | (v121(constB35, 2) <=> v124(constB35, 2)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[534, 533])).
% 218.90/141.52 tff(33365,plain,
% 218.90/141.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB35, 2) <=> v124(constB35, 2))) <=> (v121(constB35, 2) <=> v124(constB35, 2))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33364, 33363])).
% 218.90/141.52 tff(33366,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB35, 2) <=> v124(constB35, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 2) <=> v124(constB35, 2)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33365])).
% 218.90/141.52 tff(33367,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB35, 2) <=> v124(constB35, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 2) <=> v124(constB35, 2)))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33366, 33362])).
% 218.90/141.52 tff(33368,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB35, 2) <=> v124(constB35, 2)))),
% 218.90/141.52 inference(quant_inst,[status(thm)],[])).
% 218.90/141.52 tff(33369,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 2) <=> v124(constB35, 2))),
% 218.90/141.52 inference(modus_ponens,[status(thm)],[33368, 33367])).
% 218.90/141.52 tff(33370,plain,
% 218.90/141.52 ($false),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33369, 33255, 33361])).
% 218.90/141.52 tff(33371,plain,(v121(constB35, 2) <=> v124(constB35, 2)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.52 tff(33372,plain,
% 218.90/141.52 ((~(v121(constB35, 2) <=> v124(constB35, 2))) | v121(constB35, 2) | (~v124(constB35, 2))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33373,plain,
% 218.90/141.52 (v121(constB35, 2) | (~v124(constB35, 2))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33372, 33371])).
% 218.90/141.52 tff(33374,plain,
% 218.90/141.52 (~v124(constB35, 2)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33373, 33360])).
% 218.90/141.52 tff(33375,assumption,(~v124(constB35, 2)), introduced(assumption)).
% 218.90/141.52 tff(33376,plain,
% 218.90/141.52 ((~(v124(constB35, 2) <=> b100(2))) | v124(constB35, 2) | (~b100(2))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33377,plain,
% 218.90/141.52 (~(v124(constB35, 2) <=> b100(2))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33376, 2250, 33375])).
% 218.90/141.52 tff(33378,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))), introduced(assumption)).
% 218.90/141.52 tff(33379,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 2) <=> b100(2)))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33380,plain,
% 218.90/141.52 (($false | $false | (v124(constB35, 2) <=> b100(2))) <=> (v124(constB35, 2) <=> b100(2))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33381,plain,
% 218.90/141.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB35, 2) <=> b100(2))) <=> ($false | $false | (v124(constB35, 2) <=> b100(2)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[534, 533])).
% 218.90/141.52 tff(33382,plain,
% 218.90/141.52 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB35, 2) <=> b100(2))) <=> (v124(constB35, 2) <=> b100(2))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33381, 33380])).
% 218.90/141.52 tff(33383,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB35, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 2) <=> b100(2)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33382])).
% 218.90/141.52 tff(33384,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB35, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 2) <=> b100(2)))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33383, 33379])).
% 218.90/141.52 tff(33385,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB35, 2) <=> b100(2)))),
% 218.90/141.52 inference(quant_inst,[status(thm)],[])).
% 218.90/141.52 tff(33386,plain,
% 218.90/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 2) <=> b100(2))),
% 218.90/141.52 inference(modus_ponens,[status(thm)],[33385, 33384])).
% 218.90/141.52 tff(33387,plain,
% 218.90/141.52 ($false),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33386, 33378, 33377])).
% 218.90/141.52 tff(33388,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | v124(constB35, 2)), inference(lemma,lemma(discharge,[]))).
% 218.90/141.52 tff(33389,plain,
% 218.90/141.52 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33388, 33374])).
% 218.90/141.52 tff(33390,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B))))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33391,plain,
% 218.90/141.52 (((~v116(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B))))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33392,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33391])).
% 218.90/141.52 tff(33393,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B))))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33392, 33390])).
% 218.90/141.52 tff(33394,plain,
% 218.90/141.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.52 inference(quant_inst,[status(thm)],[])).
% 218.90/141.52 tff(33395,plain,
% 218.90/141.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))),
% 218.90/141.52 inference(modus_ponens,[status(thm)],[33394, 33393])).
% 218.90/141.52 tff(33396,plain,
% 218.90/141.52 (~v116(constB35)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33395, 2230, 33389])).
% 218.90/141.52 tff(33397,plain,
% 218.90/141.52 (~v114(constB35)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33288, 33065])).
% 218.90/141.52 tff(33398,plain,
% 218.90/141.52 (((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))) | v84(constB37, 2)),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33399,plain,
% 218.90/141.52 ((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33398, 33327])).
% 218.90/141.52 tff(33400,plain,
% 218.90/141.52 (v94(constB36)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33312, 33066])).
% 218.90/141.52 tff(33401,plain,
% 218.90/141.52 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33210, 33400])).
% 218.90/141.52 tff(33402,plain,
% 218.90/141.52 (v84(constB36, 2) <=> v123(constB36, 2)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33343, 33401])).
% 218.90/141.52 tff(33403,plain,
% 218.90/141.52 ((~(v84(constB37, 1) <=> v84(constB36, 1))) | (~v84(constB37, 1)) | v84(constB36, 1)),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33404,plain,
% 218.90/141.52 ((~v84(constB37, 1)) | v84(constB36, 1)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33403, 33063])).
% 218.90/141.52 tff(33405,plain,
% 218.90/141.52 (~v84(constB37, 1)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33404, 33066])).
% 218.90/141.52 tff(33406,assumption,((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))), introduced(assumption)).
% 218.90/141.52 tff(33407,plain,
% 218.90/141.52 (v84(constB36, 1) <=> v123(constB36, 1)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33223, 33401])).
% 218.90/141.52 tff(33408,assumption,(v84(constB36, 1) <=> v123(constB36, 1)), introduced(assumption)).
% 218.90/141.52 tff(33409,plain,
% 218.90/141.52 (~v123(constB36, 1)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33225, 33066, 33408])).
% 218.90/141.52 tff(33410,plain,
% 218.90/141.52 (~v121(constB35, 1)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33246, 33409])).
% 218.90/141.52 tff(33411,plain,
% 218.90/141.52 (~v124(constB35, 1)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33267, 33410])).
% 218.90/141.52 tff(33412,plain,
% 218.90/141.52 ((~(v124(constB35, 1) <=> b110(1))) | v124(constB35, 1) | (~b110(1))),
% 218.90/141.52 inference(tautology,[status(thm)],[])).
% 218.90/141.52 tff(33413,plain,
% 218.90/141.52 (~(v124(constB35, 1) <=> b110(1))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33412, 1662, 33411])).
% 218.90/141.52 tff(33414,plain,
% 218.90/141.52 (v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33290, 33289, 31980])).
% 218.90/141.52 tff(33415,plain,
% 218.90/141.52 (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33307, 33414, 33162, 33301])).
% 218.90/141.52 tff(33416,plain,
% 218.90/141.52 (v118(constB35)),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33297, 33415, 32060])).
% 218.90/141.52 tff(33417,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B))))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33418,plain,
% 218.90/141.52 (((~v118(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B))))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33419,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33418])).
% 218.90/141.52 tff(33420,plain,
% 218.90/141.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B))))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33419, 33417])).
% 218.90/141.52 tff(33421,plain,
% 218.90/141.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.90/141.52 inference(quant_inst,[status(thm)],[])).
% 218.90/141.52 tff(33422,plain,
% 218.90/141.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))),
% 218.90/141.52 inference(modus_ponens,[status(thm)],[33421, 33420])).
% 218.90/141.52 tff(33423,plain,
% 218.90/141.52 ((~v118(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33422, 1977])).
% 218.90/141.52 tff(33424,plain,
% 218.90/141.52 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))),
% 218.90/141.52 inference(unit_resolution,[status(thm)],[33423, 33416])).
% 218.90/141.52 tff(33425,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))) | (v124(constB35, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))) | (v124(constB35, 1) <=> b110(1)))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33426,plain,
% 218.90/141.52 (($false | $false | (v124(constB35, 1) <=> b110(1))) <=> (v124(constB35, 1) <=> b110(1))),
% 218.90/141.52 inference(rewrite,[status(thm)],[])).
% 218.90/141.52 tff(33427,plain,
% 218.90/141.52 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b110(1))) <=> ($false | $false | (v124(constB35, 1) <=> b110(1)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[402, 401])).
% 218.90/141.52 tff(33428,plain,
% 218.90/141.52 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b110(1))) <=> (v124(constB35, 1) <=> b110(1))),
% 218.90/141.52 inference(transitivity,[status(thm)],[33427, 33426])).
% 218.90/141.52 tff(33429,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))) | (v124(constB35, 1) <=> b110(1)))),
% 218.90/141.52 inference(monotonicity,[status(thm)],[33428])).
% 218.90/141.52 tff(33430,plain,
% 218.90/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))) | (v124(constB35, 1) <=> b110(1)))),
% 218.98/141.52 inference(transitivity,[status(thm)],[33429, 33425])).
% 218.98/141.52 tff(33431,plain,
% 218.98/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b110(1)))),
% 218.98/141.52 inference(quant_inst,[status(thm)],[])).
% 218.98/141.52 tff(33432,plain,
% 218.98/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b110(B)))) | (v124(constB35, 1) <=> b110(1))),
% 218.98/141.52 inference(modus_ponens,[status(thm)],[33431, 33430])).
% 218.98/141.52 tff(33433,plain,
% 218.98/141.52 ($false),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33432, 33424, 33413])).
% 218.98/141.52 tff(33434,plain,(v84(constB36, 1) | v84(constB35, 1) | (~v84(constB35, 0)) | (~(v84(constB36, 1) <=> v123(constB36, 1)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.52 tff(33435,plain,
% 218.98/141.52 (~v84(constB35, 0)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33434, 33162, 33066, 33407])).
% 218.98/141.52 tff(33436,assumption,(~(v84(constB35, 0) <=> v84(constB34, 0))), introduced(assumption)).
% 218.98/141.52 tff(33437,plain,
% 218.98/141.52 ($false),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[31959, 31762, 33436])).
% 218.98/141.52 tff(33438,plain,(v84(constB35, 0) <=> v84(constB34, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.52 tff(33439,plain,
% 218.98/141.52 (v84(constB35, 0) | (~v84(constB34, 0))),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[31961, 33438])).
% 218.98/141.52 tff(33440,plain,
% 218.98/141.52 (~v84(constB34, 0)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33439, 33435])).
% 218.98/141.52 tff(33441,plain,
% 218.98/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 0) <=> v124(constB35, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 0) <=> v124(constB35, 0)))),
% 218.98/141.52 inference(rewrite,[status(thm)],[])).
% 218.98/141.52 tff(33442,plain,
% 218.98/141.52 (($false | $false | (v121(constB35, 0) <=> v124(constB35, 0))) <=> (v121(constB35, 0) <=> v124(constB35, 0))),
% 218.98/141.52 inference(rewrite,[status(thm)],[])).
% 218.98/141.52 tff(33443,plain,
% 218.98/141.52 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB35, 0) <=> v124(constB35, 0))) <=> ($false | $false | (v121(constB35, 0) <=> v124(constB35, 0)))),
% 218.98/141.52 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.52 tff(33444,plain,
% 218.98/141.52 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB35, 0) <=> v124(constB35, 0))) <=> (v121(constB35, 0) <=> v124(constB35, 0))),
% 218.98/141.52 inference(transitivity,[status(thm)],[33443, 33442])).
% 218.98/141.52 tff(33445,plain,
% 218.98/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB35, 0) <=> v124(constB35, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 0) <=> v124(constB35, 0)))),
% 218.98/141.52 inference(monotonicity,[status(thm)],[33444])).
% 218.98/141.52 tff(33446,plain,
% 218.98/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB35, 0) <=> v124(constB35, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 0) <=> v124(constB35, 0)))),
% 218.98/141.52 inference(transitivity,[status(thm)],[33445, 33441])).
% 218.98/141.52 tff(33447,plain,
% 218.98/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB35, 0) <=> v124(constB35, 0)))),
% 218.98/141.52 inference(quant_inst,[status(thm)],[])).
% 218.98/141.52 tff(33448,plain,
% 218.98/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB35, B) <=> v124(constB35, B)))) | (v121(constB35, 0) <=> v124(constB35, 0))),
% 218.98/141.52 inference(modus_ponens,[status(thm)],[33447, 33446])).
% 218.98/141.52 tff(33449,plain,
% 218.98/141.52 (v121(constB35, 0) <=> v124(constB35, 0)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33448, 33255])).
% 218.98/141.52 tff(33450,plain,
% 218.98/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 0) <=> v121(constB35, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 0) <=> v121(constB35, 0)))),
% 218.98/141.52 inference(rewrite,[status(thm)],[])).
% 218.98/141.52 tff(33451,plain,
% 218.98/141.52 (($false | $false | (v123(constB36, 0) <=> v121(constB35, 0))) <=> (v123(constB36, 0) <=> v121(constB35, 0))),
% 218.98/141.52 inference(rewrite,[status(thm)],[])).
% 218.98/141.52 tff(33452,plain,
% 218.98/141.52 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB36, 0) <=> v121(constB35, 0))) <=> ($false | $false | (v123(constB36, 0) <=> v121(constB35, 0)))),
% 218.98/141.52 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.52 tff(33453,plain,
% 218.98/141.52 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB36, 0) <=> v121(constB35, 0))) <=> (v123(constB36, 0) <=> v121(constB35, 0))),
% 218.98/141.52 inference(transitivity,[status(thm)],[33452, 33451])).
% 218.98/141.52 tff(33454,plain,
% 218.98/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB36, 0) <=> v121(constB35, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 0) <=> v121(constB35, 0)))),
% 218.98/141.52 inference(monotonicity,[status(thm)],[33453])).
% 218.98/141.52 tff(33455,plain,
% 218.98/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB36, 0) <=> v121(constB35, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 0) <=> v121(constB35, 0)))),
% 218.98/141.52 inference(transitivity,[status(thm)],[33454, 33450])).
% 218.98/141.52 tff(33456,plain,
% 218.98/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB36, 0) <=> v121(constB35, 0)))),
% 218.98/141.52 inference(quant_inst,[status(thm)],[])).
% 218.98/141.52 tff(33457,plain,
% 218.98/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB36, B) <=> v121(constB35, B)))) | (v123(constB36, 0) <=> v121(constB35, 0))),
% 218.98/141.52 inference(modus_ponens,[status(thm)],[33456, 33455])).
% 218.98/141.52 tff(33458,plain,
% 218.98/141.52 (v123(constB36, 0) <=> v121(constB35, 0)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33457, 33234])).
% 218.98/141.52 tff(33459,plain,
% 218.98/141.52 ((~(v84(constB35, 0) <=> v84(constB34, 0))) | (~v84(constB35, 0)) | v84(constB34, 0)),
% 218.98/141.52 inference(tautology,[status(thm)],[])).
% 218.98/141.52 tff(33460,plain,
% 218.98/141.52 ((~v84(constB35, 0)) | v84(constB34, 0)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33459, 33438])).
% 218.98/141.52 tff(33461,plain,
% 218.98/141.52 (~v84(constB35, 0)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33460, 32203])).
% 218.98/141.52 tff(33462,plain,
% 218.98/141.52 (v108(constB35) | v119(constB35)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33181, 33461])).
% 218.98/141.52 tff(33463,plain,
% 218.98/141.52 (v107(constB35)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33125, 33462])).
% 218.98/141.52 tff(33464,plain,
% 218.98/141.52 (~((~v107(constB35)) | (~v120(constB35)))),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33119, 33463])).
% 218.98/141.52 tff(33465,plain,
% 218.98/141.52 (v106(constB35)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33111, 33464])).
% 218.98/141.52 tff(33466,plain,
% 218.98/141.52 (v105(constB35) | v106(constB35)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33108, 33465])).
% 218.98/141.52 tff(33467,plain,
% 218.98/141.52 (v102(constB35)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33106, 33466])).
% 218.98/141.52 tff(33468,plain,
% 218.98/141.52 (v104(constB36)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33103, 33467])).
% 218.98/141.52 tff(33469,plain,
% 218.98/141.52 (~((~v95(constB36)) | (~v104(constB36)))),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33100, 33468])).
% 218.98/141.52 tff(33470,plain,
% 218.98/141.52 (v94(constB36)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33069, 33469])).
% 218.98/141.52 tff(33471,plain,
% 218.98/141.52 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33210, 33470])).
% 218.98/141.52 tff(33472,plain,
% 218.98/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 0) <=> v123(constB36, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 0) <=> v123(constB36, 0)))),
% 218.98/141.52 inference(rewrite,[status(thm)],[])).
% 218.98/141.52 tff(33473,plain,
% 218.98/141.52 (($false | $false | (v84(constB36, 0) <=> v123(constB36, 0))) <=> (v84(constB36, 0) <=> v123(constB36, 0))),
% 218.98/141.52 inference(rewrite,[status(thm)],[])).
% 218.98/141.52 tff(33474,plain,
% 218.98/141.52 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB36, 0) <=> v123(constB36, 0))) <=> ($false | $false | (v84(constB36, 0) <=> v123(constB36, 0)))),
% 218.98/141.52 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.52 tff(33475,plain,
% 218.98/141.52 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB36, 0) <=> v123(constB36, 0))) <=> (v84(constB36, 0) <=> v123(constB36, 0))),
% 218.98/141.52 inference(transitivity,[status(thm)],[33474, 33473])).
% 218.98/141.52 tff(33476,plain,
% 218.98/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB36, 0) <=> v123(constB36, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 0) <=> v123(constB36, 0)))),
% 218.98/141.52 inference(monotonicity,[status(thm)],[33475])).
% 218.98/141.52 tff(33477,plain,
% 218.98/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB36, 0) <=> v123(constB36, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 0) <=> v123(constB36, 0)))),
% 218.98/141.52 inference(transitivity,[status(thm)],[33476, 33472])).
% 218.98/141.52 tff(33478,plain,
% 218.98/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB36, 0) <=> v123(constB36, 0)))),
% 218.98/141.52 inference(quant_inst,[status(thm)],[])).
% 218.98/141.52 tff(33479,plain,
% 218.98/141.52 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))) | (v84(constB36, 0) <=> v123(constB36, 0))),
% 218.98/141.52 inference(modus_ponens,[status(thm)],[33478, 33477])).
% 218.98/141.52 tff(33480,plain,
% 218.98/141.52 (v84(constB36, 0) <=> v123(constB36, 0)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33479, 33471])).
% 218.98/141.52 tff(33481,assumption,(~v84(constB36, 0)), introduced(assumption)).
% 218.98/141.52 tff(33482,plain,
% 218.98/141.52 ((~(v84(constB36, 0) <=> v123(constB36, 0))) | v84(constB36, 0) | (~v123(constB36, 0))),
% 218.98/141.52 inference(tautology,[status(thm)],[])).
% 218.98/141.52 tff(33483,plain,
% 218.98/141.52 ((~(v84(constB36, 0) <=> v123(constB36, 0))) | (~v123(constB36, 0))),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33482, 33481])).
% 218.98/141.52 tff(33484,plain,
% 218.98/141.52 (~v123(constB36, 0)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33483, 33480])).
% 218.98/141.52 tff(33485,plain,
% 218.98/141.52 ((~(v123(constB36, 0) <=> v121(constB35, 0))) | v123(constB36, 0) | (~v121(constB35, 0))),
% 218.98/141.52 inference(tautology,[status(thm)],[])).
% 218.98/141.52 tff(33486,plain,
% 218.98/141.52 ((~(v123(constB36, 0) <=> v121(constB35, 0))) | (~v121(constB35, 0))),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33485, 33484])).
% 218.98/141.52 tff(33487,plain,
% 218.98/141.52 (~v121(constB35, 0)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33486, 33458])).
% 218.98/141.52 tff(33488,plain,
% 218.98/141.52 ((~(v121(constB35, 0) <=> v124(constB35, 0))) | v121(constB35, 0) | (~v124(constB35, 0))),
% 218.98/141.52 inference(tautology,[status(thm)],[])).
% 218.98/141.52 tff(33489,plain,
% 218.98/141.52 ((~(v121(constB35, 0) <=> v124(constB35, 0))) | (~v124(constB35, 0))),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33488, 33487])).
% 218.98/141.52 tff(33490,plain,
% 218.98/141.52 (~v124(constB35, 0)),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33489, 33449])).
% 218.98/141.52 tff(33491,plain,
% 218.98/141.52 ((~(v124(constB35, 0) <=> b011(0))) | v124(constB35, 0) | (~b011(0))),
% 218.98/141.52 inference(tautology,[status(thm)],[])).
% 218.98/141.52 tff(33492,plain,
% 218.98/141.52 (~(v124(constB35, 0) <=> b011(0))),
% 218.98/141.52 inference(unit_resolution,[status(thm)],[33491, 2025, 33490])).
% 218.98/141.52 tff(33493,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))), introduced(assumption)).
% 218.98/141.52 tff(33494,plain,
% 218.98/141.52 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | (v124(constB35, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | (v124(constB35, 0) <=> b101(0)))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33495,plain,
% 218.98/141.53 (($false | $false | (v124(constB35, 0) <=> b101(0))) <=> (v124(constB35, 0) <=> b101(0))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33496,plain,
% 218.98/141.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b101(0))) <=> ($false | $false | (v124(constB35, 0) <=> b101(0)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.53 tff(33497,plain,
% 218.98/141.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b101(0))) <=> (v124(constB35, 0) <=> b101(0))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33496, 33495])).
% 218.98/141.53 tff(33498,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | (v124(constB35, 0) <=> b101(0)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33497])).
% 218.98/141.53 tff(33499,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | (v124(constB35, 0) <=> b101(0)))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33498, 33494])).
% 218.98/141.53 tff(33500,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b101(0)))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33501,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | (v124(constB35, 0) <=> b101(0))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33500, 33499])).
% 218.98/141.53 tff(33502,plain,
% 218.98/141.53 (v124(constB35, 0) <=> b101(0)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33501, 33493])).
% 218.98/141.53 tff(33503,plain,
% 218.98/141.53 ((~(v124(constB35, 0) <=> b101(0))) | v124(constB35, 0) | (~b101(0))),
% 218.98/141.53 inference(tautology,[status(thm)],[])).
% 218.98/141.53 tff(33504,plain,
% 218.98/141.53 ((~(v124(constB35, 0) <=> b101(0))) | v124(constB35, 0)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33503, 2042])).
% 218.98/141.53 tff(33505,plain,
% 218.98/141.53 (v124(constB35, 0)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33504, 33502])).
% 218.98/141.53 tff(33506,plain,
% 218.98/141.53 ((~(v121(constB35, 0) <=> v124(constB35, 0))) | v121(constB35, 0)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33488, 33505])).
% 218.98/141.53 tff(33507,plain,
% 218.98/141.53 (v121(constB35, 0)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33506, 33449])).
% 218.98/141.53 tff(33508,assumption,(v108(constB35) | v119(constB35)), introduced(assumption)).
% 218.98/141.53 tff(33509,plain,
% 218.98/141.53 ((~(v107(constB35) <=> (v108(constB35) | v119(constB35)))) | v107(constB35)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33124, 33508])).
% 218.98/141.53 tff(33510,plain,
% 218.98/141.53 (v107(constB35)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33509, 31944])).
% 218.98/141.53 tff(33511,plain,
% 218.98/141.53 (~((~v107(constB35)) | (~v120(constB35)))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33119, 33510])).
% 218.98/141.53 tff(33512,plain,
% 218.98/141.53 (v106(constB35)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33111, 33511])).
% 218.98/141.53 tff(33513,plain,
% 218.98/141.53 (v105(constB35) | v106(constB35)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33108, 33512])).
% 218.98/141.53 tff(33514,plain,
% 218.98/141.53 (v102(constB35)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33106, 33513])).
% 218.98/141.53 tff(33515,plain,
% 218.98/141.53 (v104(constB36)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33103, 33514])).
% 218.98/141.53 tff(33516,plain,
% 218.98/141.53 (~((~v95(constB36)) | (~v104(constB36)))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33100, 33515])).
% 218.98/141.53 tff(33517,plain,
% 218.98/141.53 (v94(constB36)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33069, 33516])).
% 218.98/141.53 tff(33518,plain,
% 218.98/141.53 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33210, 33517])).
% 218.98/141.53 tff(33519,plain,
% 218.98/141.53 (v84(constB36, 0) <=> v123(constB36, 0)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33479, 33518])).
% 218.98/141.53 tff(33520,plain,
% 218.98/141.53 (~v123(constB36, 0)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33483, 33519])).
% 218.98/141.53 tff(33521,plain,
% 218.98/141.53 ((~(v123(constB36, 0) <=> v121(constB35, 0))) | (~v121(constB35, 0))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33485, 33520])).
% 218.98/141.53 tff(33522,plain,
% 218.98/141.53 ($false),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33521, 33507, 33458])).
% 218.98/141.53 tff(33523,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | v84(constB36, 0) | (~(v108(constB35) | v119(constB35)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.53 tff(33524,plain,
% 218.98/141.53 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33523, 33481, 33462])).
% 218.98/141.53 tff(33525,assumption,(v117(constB35)), introduced(assumption)).
% 218.98/141.53 tff(33526,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))), introduced(assumption)).
% 218.98/141.53 tff(33527,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B))))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33528,plain,
% 218.98/141.53 (((~v117(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B))))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33529,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33528])).
% 218.98/141.53 tff(33530,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B))))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33529, 33527])).
% 218.98/141.53 tff(33531,plain,
% 218.98/141.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33532,plain,
% 218.98/141.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33531, 33530])).
% 218.98/141.53 tff(33533,plain,
% 218.98/141.53 ($false),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33532, 2090, 33526, 33525])).
% 218.98/141.53 tff(33534,plain,((~v117(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.53 tff(33535,plain,
% 218.98/141.53 (~v117(constB35)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33534, 33524])).
% 218.98/141.53 tff(33536,assumption,(~v124(constB35, 0)), introduced(assumption)).
% 218.98/141.53 tff(33537,plain,
% 218.98/141.53 ((~(v124(constB35, 0) <=> b001(0))) | v124(constB35, 0) | (~b001(0))),
% 218.98/141.53 inference(tautology,[status(thm)],[])).
% 218.98/141.53 tff(33538,plain,
% 218.98/141.53 (~(v124(constB35, 0) <=> b001(0))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33537, 1940, 33536])).
% 218.98/141.53 tff(33539,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))), introduced(assumption)).
% 218.98/141.53 tff(33540,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | (v124(constB35, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | (v124(constB35, 0) <=> b001(0)))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33541,plain,
% 218.98/141.53 (($false | $false | (v124(constB35, 0) <=> b001(0))) <=> (v124(constB35, 0) <=> b001(0))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33542,plain,
% 218.98/141.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b001(0))) <=> ($false | $false | (v124(constB35, 0) <=> b001(0)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.53 tff(33543,plain,
% 218.98/141.53 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b001(0))) <=> (v124(constB35, 0) <=> b001(0))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33542, 33541])).
% 218.98/141.53 tff(33544,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | (v124(constB35, 0) <=> b001(0)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33543])).
% 218.98/141.53 tff(33545,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | (v124(constB35, 0) <=> b001(0)))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33544, 33540])).
% 218.98/141.53 tff(33546,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b001(0)))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33547,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | (v124(constB35, 0) <=> b001(0))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33546, 33545])).
% 218.98/141.53 tff(33548,plain,
% 218.98/141.53 ($false),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33547, 33539, 33538])).
% 218.98/141.53 tff(33549,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | v124(constB35, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.53 tff(33550,plain,
% 218.98/141.53 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33549, 33490])).
% 218.98/141.53 tff(33551,assumption,(~v117(constB35)), introduced(assumption)).
% 218.98/141.53 tff(33552,assumption,(~(v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))), introduced(assumption)).
% 218.98/141.53 tff(33553,plain,
% 218.98/141.53 ($false),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[32035, 656, 33552])).
% 218.98/141.53 tff(33554,plain,(v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.53 tff(33555,plain,
% 218.98/141.53 (v117(constB35) | (v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33142, 33554])).
% 218.98/141.53 tff(33556,plain,
% 218.98/141.53 (v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33555, 33551])).
% 218.98/141.53 tff(33557,assumption,(~(v84(constB35, 1) <=> v84(constB34, 1))), introduced(assumption)).
% 218.98/141.53 tff(33558,plain,
% 218.98/141.53 ($false),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[32044, 31762, 33557])).
% 218.98/141.53 tff(33559,plain,(v84(constB35, 1) <=> v84(constB34, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.53 tff(33560,plain,
% 218.98/141.53 ((~(v84(constB35, 1) <=> v84(constB34, 1))) | (~v84(constB35, 1)) | v84(constB34, 1)),
% 218.98/141.53 inference(tautology,[status(thm)],[])).
% 218.98/141.53 tff(33561,plain,
% 218.98/141.53 ((~v84(constB35, 1)) | v84(constB34, 1)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33560, 33559])).
% 218.98/141.53 tff(33562,plain,
% 218.98/141.53 (~v84(constB35, 1)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33561, 32206])).
% 218.98/141.53 tff(33563,assumption,(~v84(constB34, 2)), introduced(assumption)).
% 218.98/141.53 tff(33564,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))), introduced(assumption)).
% 218.98/141.53 tff(33565,plain,
% 218.98/141.53 ((~(v84(constB35, 1) <=> v84(constB34, 1))) | (~v84(constB35, 1))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33560, 32206])).
% 218.98/141.53 tff(33566,plain,
% 218.98/141.53 (~v84(constB35, 1)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33565, 32045])).
% 218.98/141.53 tff(33567,plain,
% 218.98/141.53 ((~(v84(constB35, 0) <=> v84(constB34, 0))) | (~v84(constB35, 0))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33459, 32203])).
% 218.98/141.53 tff(33568,plain,
% 218.98/141.53 (~v84(constB35, 0)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33567, 31960])).
% 218.98/141.53 tff(33569,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B))))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33570,plain,
% 218.98/141.53 ((v105(constB33) | ![B: $int] : ((v121(constB33, B) <=> v124(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B))))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33571,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB33) | ![B: $int] : ((v121(constB33, B) <=> v124(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33570])).
% 218.98/141.53 tff(33572,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB33) | ![B: $int] : ((v121(constB33, B) <=> v124(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B))))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33571, 33569])).
% 218.98/141.53 tff(33573,plain,
% 218.98/141.53 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB33) | ![B: $int] : ((v121(constB33, B) <=> v124(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33574,plain,
% 218.98/141.53 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33573, 33572])).
% 218.98/141.53 tff(33575,plain,
% 218.98/141.53 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33574, 1562, 31680])).
% 218.98/141.53 tff(33576,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 1) <=> v124(constB33, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 1) <=> v124(constB33, 1)))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33577,plain,
% 218.98/141.53 (($false | $false | (v121(constB33, 1) <=> v124(constB33, 1))) <=> (v121(constB33, 1) <=> v124(constB33, 1))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33578,plain,
% 218.98/141.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB33, 1) <=> v124(constB33, 1))) <=> ($false | $false | (v121(constB33, 1) <=> v124(constB33, 1)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[402, 401])).
% 218.98/141.53 tff(33579,plain,
% 218.98/141.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB33, 1) <=> v124(constB33, 1))) <=> (v121(constB33, 1) <=> v124(constB33, 1))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33578, 33577])).
% 218.98/141.53 tff(33580,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB33, 1) <=> v124(constB33, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 1) <=> v124(constB33, 1)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33579])).
% 218.98/141.53 tff(33581,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB33, 1) <=> v124(constB33, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 1) <=> v124(constB33, 1)))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33580, 33576])).
% 218.98/141.53 tff(33582,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB33, 1) <=> v124(constB33, 1)))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33583,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 1) <=> v124(constB33, 1))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33582, 33581])).
% 218.98/141.53 tff(33584,plain,
% 218.98/141.53 (v121(constB33, 1) <=> v124(constB33, 1)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33583, 33575])).
% 218.98/141.53 tff(33585,plain,
% 218.98/141.53 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B))))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33586,plain,
% 218.98/141.53 (((~nextState(constB33, constB34)) | ![B: $int] : ((v123(constB34, B) <=> v121(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B))))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33587,plain,
% 218.98/141.53 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB33, constB34)) | ![B: $int] : ((v123(constB34, B) <=> v121(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33586])).
% 218.98/141.53 tff(33588,plain,
% 218.98/141.53 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB33, constB34)) | ![B: $int] : ((v123(constB34, B) <=> v121(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B))))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33587, 33585])).
% 218.98/141.53 tff(33589,plain,
% 218.98/141.53 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB33, constB34)) | ![B: $int] : ((v123(constB34, B) <=> v121(constB33, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33590,plain,
% 218.98/141.53 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB33, constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33589, 33588])).
% 218.98/141.53 tff(33591,plain,
% 218.98/141.53 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33590, 31691, 1527])).
% 218.98/141.53 tff(33592,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 1) <=> v121(constB33, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 1) <=> v121(constB33, 1)))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33593,plain,
% 218.98/141.53 (($false | $false | (v123(constB34, 1) <=> v121(constB33, 1))) <=> (v123(constB34, 1) <=> v121(constB33, 1))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33594,plain,
% 218.98/141.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB34, 1) <=> v121(constB33, 1))) <=> ($false | $false | (v123(constB34, 1) <=> v121(constB33, 1)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[402, 401])).
% 218.98/141.53 tff(33595,plain,
% 218.98/141.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB34, 1) <=> v121(constB33, 1))) <=> (v123(constB34, 1) <=> v121(constB33, 1))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33594, 33593])).
% 218.98/141.53 tff(33596,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB34, 1) <=> v121(constB33, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 1) <=> v121(constB33, 1)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33595])).
% 218.98/141.53 tff(33597,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB34, 1) <=> v121(constB33, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 1) <=> v121(constB33, 1)))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33596, 33592])).
% 218.98/141.53 tff(33598,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB34, 1) <=> v121(constB33, 1)))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33599,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 1) <=> v121(constB33, 1))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33598, 33597])).
% 218.98/141.53 tff(33600,plain,
% 218.98/141.53 (v123(constB34, 1) <=> v121(constB33, 1)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33599, 33591])).
% 218.98/141.53 tff(33601,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 1) <=> v123(constB34, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 1) <=> v123(constB34, 1)))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33602,plain,
% 218.98/141.53 (($false | $false | (v84(constB34, 1) <=> v123(constB34, 1))) <=> (v84(constB34, 1) <=> v123(constB34, 1))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33603,plain,
% 218.98/141.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB34, 1) <=> v123(constB34, 1))) <=> ($false | $false | (v84(constB34, 1) <=> v123(constB34, 1)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[402, 401])).
% 218.98/141.53 tff(33604,plain,
% 218.98/141.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB34, 1) <=> v123(constB34, 1))) <=> (v84(constB34, 1) <=> v123(constB34, 1))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33603, 33602])).
% 218.98/141.53 tff(33605,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB34, 1) <=> v123(constB34, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 1) <=> v123(constB34, 1)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33604])).
% 218.98/141.53 tff(33606,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB34, 1) <=> v123(constB34, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 1) <=> v123(constB34, 1)))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33605, 33601])).
% 218.98/141.53 tff(33607,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB34, 1) <=> v123(constB34, 1)))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33608,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 1) <=> v123(constB34, 1))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33607, 33606])).
% 218.98/141.53 tff(33609,plain,
% 218.98/141.53 (v84(constB34, 1) <=> v123(constB34, 1)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33608, 33564])).
% 218.98/141.53 tff(33610,plain,
% 218.98/141.53 ((~(v84(constB35, 1) <=> v84(constB34, 1))) | (~v84(constB34, 1))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[32046, 33162])).
% 218.98/141.53 tff(33611,plain,
% 218.98/141.53 (~v84(constB34, 1)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33610, 32045])).
% 218.98/141.53 tff(33612,plain,
% 218.98/141.53 ((~(v84(constB34, 1) <=> v123(constB34, 1))) | v84(constB34, 1) | (~v123(constB34, 1))),
% 218.98/141.53 inference(tautology,[status(thm)],[])).
% 218.98/141.53 tff(33613,plain,
% 218.98/141.53 ((~(v84(constB34, 1) <=> v123(constB34, 1))) | (~v123(constB34, 1))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33612, 33611])).
% 218.98/141.53 tff(33614,plain,
% 218.98/141.53 (~v123(constB34, 1)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33613, 33609])).
% 218.98/141.53 tff(33615,plain,
% 218.98/141.53 ((~(v123(constB34, 1) <=> v121(constB33, 1))) | v123(constB34, 1) | (~v121(constB33, 1))),
% 218.98/141.53 inference(tautology,[status(thm)],[])).
% 218.98/141.53 tff(33616,plain,
% 218.98/141.53 ((~(v123(constB34, 1) <=> v121(constB33, 1))) | (~v121(constB33, 1))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33615, 33614])).
% 218.98/141.53 tff(33617,plain,
% 218.98/141.53 (~v121(constB33, 1)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33616, 33600])).
% 218.98/141.53 tff(33618,plain,
% 218.98/141.53 ((~(v121(constB33, 1) <=> v124(constB33, 1))) | v121(constB33, 1) | (~v124(constB33, 1))),
% 218.98/141.53 inference(tautology,[status(thm)],[])).
% 218.98/141.53 tff(33619,plain,
% 218.98/141.53 ((~(v121(constB33, 1) <=> v124(constB33, 1))) | (~v124(constB33, 1))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33618, 33617])).
% 218.98/141.53 tff(33620,plain,
% 218.98/141.53 (~v124(constB33, 1)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33619, 33584])).
% 218.98/141.53 tff(33621,plain,
% 218.98/141.53 ((~(v124(constB33, 1) <=> b110(1))) | v124(constB33, 1) | (~b110(1))),
% 218.98/141.53 inference(tautology,[status(thm)],[])).
% 218.98/141.53 tff(33622,plain,
% 218.98/141.53 (~(v124(constB33, 1) <=> b110(1))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33621, 1662, 33620])).
% 218.98/141.53 tff(33623,assumption,(~v124(constB33, 1)), introduced(assumption)).
% 218.98/141.53 tff(33624,plain,
% 218.98/141.53 ((~(v124(constB33, 1) <=> b011(1))) | v124(constB33, 1) | (~b011(1))),
% 218.98/141.53 inference(tautology,[status(thm)],[])).
% 218.98/141.53 tff(33625,plain,
% 218.98/141.53 (~(v124(constB33, 1) <=> b011(1))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33624, 2593, 33623])).
% 218.98/141.53 tff(33626,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))), introduced(assumption)).
% 218.98/141.53 tff(33627,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 1) <=> b011(1)))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33628,plain,
% 218.98/141.53 (($false | $false | (v124(constB33, 1) <=> b011(1))) <=> (v124(constB33, 1) <=> b011(1))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33629,plain,
% 218.98/141.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b011(1))) <=> ($false | $false | (v124(constB33, 1) <=> b011(1)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[402, 401])).
% 218.98/141.53 tff(33630,plain,
% 218.98/141.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b011(1))) <=> (v124(constB33, 1) <=> b011(1))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33629, 33628])).
% 218.98/141.53 tff(33631,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 1) <=> b011(1)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33630])).
% 218.98/141.53 tff(33632,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 1) <=> b011(1)))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33631, 33627])).
% 218.98/141.53 tff(33633,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b011(1)))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33634,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 1) <=> b011(1))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33633, 33632])).
% 218.98/141.53 tff(33635,plain,
% 218.98/141.53 ($false),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33634, 33626, 33625])).
% 218.98/141.53 tff(33636,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | v124(constB33, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.53 tff(33637,plain,
% 218.98/141.53 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33636, 33620])).
% 218.98/141.53 tff(33638,assumption,(v115(constB33)), introduced(assumption)).
% 218.98/141.53 tff(33639,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))), introduced(assumption)).
% 218.98/141.53 tff(33640,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B))))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33641,plain,
% 218.98/141.53 (((~v115(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B))))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33642,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33641])).
% 218.98/141.53 tff(33643,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B))))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33642, 33640])).
% 218.98/141.53 tff(33644,plain,
% 218.98/141.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33645,plain,
% 218.98/141.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33644, 33643])).
% 218.98/141.53 tff(33646,plain,
% 218.98/141.53 ($false),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33645, 2144, 33639, 33638])).
% 218.98/141.53 tff(33647,plain,((~v115(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.53 tff(33648,plain,
% 218.98/141.53 (~v115(constB33)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33647, 33637])).
% 218.98/141.53 tff(33649,plain,
% 218.98/141.53 ((~(v124(constB33, 1) <=> b010(1))) | v124(constB33, 1) | (~b010(1))),
% 218.98/141.53 inference(tautology,[status(thm)],[])).
% 218.98/141.53 tff(33650,plain,
% 218.98/141.53 (~(v124(constB33, 1) <=> b010(1))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33649, 2513, 33623])).
% 218.98/141.53 tff(33651,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))), introduced(assumption)).
% 218.98/141.53 tff(33652,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | (v124(constB33, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | (v124(constB33, 1) <=> b010(1)))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33653,plain,
% 218.98/141.53 (($false | $false | (v124(constB33, 1) <=> b010(1))) <=> (v124(constB33, 1) <=> b010(1))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33654,plain,
% 218.98/141.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b010(1))) <=> ($false | $false | (v124(constB33, 1) <=> b010(1)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[402, 401])).
% 218.98/141.53 tff(33655,plain,
% 218.98/141.53 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b010(1))) <=> (v124(constB33, 1) <=> b010(1))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33654, 33653])).
% 218.98/141.53 tff(33656,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | (v124(constB33, 1) <=> b010(1)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33655])).
% 218.98/141.53 tff(33657,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | (v124(constB33, 1) <=> b010(1)))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33656, 33652])).
% 218.98/141.53 tff(33658,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b010(1)))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33659,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | (v124(constB33, 1) <=> b010(1))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33658, 33657])).
% 218.98/141.53 tff(33660,plain,
% 218.98/141.53 ($false),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33659, 33651, 33650])).
% 218.98/141.53 tff(33661,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | v124(constB33, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.53 tff(33662,plain,
% 218.98/141.53 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33661, 33620])).
% 218.98/141.53 tff(33663,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))), introduced(assumption)).
% 218.98/141.53 tff(33664,assumption,(v114(constB33)), introduced(assumption)).
% 218.98/141.53 tff(33665,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B))))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33666,plain,
% 218.98/141.53 (((~v114(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B))))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33667,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33666])).
% 218.98/141.53 tff(33668,plain,
% 218.98/141.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B))))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33667, 33665])).
% 218.98/141.53 tff(33669,plain,
% 218.98/141.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33670,plain,
% 218.98/141.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33669, 33668])).
% 218.98/141.53 tff(33671,plain,
% 218.98/141.53 ($false),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33670, 2418, 33664, 33663])).
% 218.98/141.53 tff(33672,plain,((~v114(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.53 tff(33673,plain,
% 218.98/141.53 (~v114(constB33)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33672, 33662])).
% 218.98/141.53 tff(33674,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 2) <=> v124(constB33, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 2) <=> v124(constB33, 2)))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33675,plain,
% 218.98/141.53 (($false | $false | (v121(constB33, 2) <=> v124(constB33, 2))) <=> (v121(constB33, 2) <=> v124(constB33, 2))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33676,plain,
% 218.98/141.53 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB33, 2) <=> v124(constB33, 2))) <=> ($false | $false | (v121(constB33, 2) <=> v124(constB33, 2)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[534, 533])).
% 218.98/141.53 tff(33677,plain,
% 218.98/141.53 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB33, 2) <=> v124(constB33, 2))) <=> (v121(constB33, 2) <=> v124(constB33, 2))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33676, 33675])).
% 218.98/141.53 tff(33678,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB33, 2) <=> v124(constB33, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 2) <=> v124(constB33, 2)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33677])).
% 218.98/141.53 tff(33679,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB33, 2) <=> v124(constB33, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 2) <=> v124(constB33, 2)))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33678, 33674])).
% 218.98/141.53 tff(33680,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB33, 2) <=> v124(constB33, 2)))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33681,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 2) <=> v124(constB33, 2))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33680, 33679])).
% 218.98/141.53 tff(33682,plain,
% 218.98/141.53 (v121(constB33, 2) <=> v124(constB33, 2)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33681, 33575])).
% 218.98/141.53 tff(33683,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 2) <=> v121(constB33, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 2) <=> v121(constB33, 2)))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33684,plain,
% 218.98/141.53 (($false | $false | (v123(constB34, 2) <=> v121(constB33, 2))) <=> (v123(constB34, 2) <=> v121(constB33, 2))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33685,plain,
% 218.98/141.53 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB34, 2) <=> v121(constB33, 2))) <=> ($false | $false | (v123(constB34, 2) <=> v121(constB33, 2)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[534, 533])).
% 218.98/141.53 tff(33686,plain,
% 218.98/141.53 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB34, 2) <=> v121(constB33, 2))) <=> (v123(constB34, 2) <=> v121(constB33, 2))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33685, 33684])).
% 218.98/141.53 tff(33687,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB34, 2) <=> v121(constB33, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 2) <=> v121(constB33, 2)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33686])).
% 218.98/141.53 tff(33688,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB34, 2) <=> v121(constB33, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 2) <=> v121(constB33, 2)))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33687, 33683])).
% 218.98/141.53 tff(33689,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB34, 2) <=> v121(constB33, 2)))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33690,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 2) <=> v121(constB33, 2))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33689, 33688])).
% 218.98/141.53 tff(33691,plain,
% 218.98/141.53 (v123(constB34, 2) <=> v121(constB33, 2)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33690, 33591])).
% 218.98/141.53 tff(33692,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 2) <=> v123(constB34, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 2) <=> v123(constB34, 2)))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33693,plain,
% 218.98/141.53 (($false | $false | (v84(constB34, 2) <=> v123(constB34, 2))) <=> (v84(constB34, 2) <=> v123(constB34, 2))),
% 218.98/141.53 inference(rewrite,[status(thm)],[])).
% 218.98/141.53 tff(33694,plain,
% 218.98/141.53 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB34, 2) <=> v123(constB34, 2))) <=> ($false | $false | (v84(constB34, 2) <=> v123(constB34, 2)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[534, 533])).
% 218.98/141.53 tff(33695,plain,
% 218.98/141.53 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB34, 2) <=> v123(constB34, 2))) <=> (v84(constB34, 2) <=> v123(constB34, 2))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33694, 33693])).
% 218.98/141.53 tff(33696,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB34, 2) <=> v123(constB34, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 2) <=> v123(constB34, 2)))),
% 218.98/141.53 inference(monotonicity,[status(thm)],[33695])).
% 218.98/141.53 tff(33697,plain,
% 218.98/141.53 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB34, 2) <=> v123(constB34, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 2) <=> v123(constB34, 2)))),
% 218.98/141.53 inference(transitivity,[status(thm)],[33696, 33692])).
% 218.98/141.53 tff(33698,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB34, 2) <=> v123(constB34, 2)))),
% 218.98/141.53 inference(quant_inst,[status(thm)],[])).
% 218.98/141.53 tff(33699,plain,
% 218.98/141.53 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 2) <=> v123(constB34, 2))),
% 218.98/141.53 inference(modus_ponens,[status(thm)],[33698, 33697])).
% 218.98/141.53 tff(33700,plain,
% 218.98/141.53 (v84(constB34, 2) <=> v123(constB34, 2)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33699, 33564])).
% 218.98/141.53 tff(33701,plain,
% 218.98/141.53 ((~(v84(constB34, 2) <=> v123(constB34, 2))) | v84(constB34, 2) | (~v123(constB34, 2))),
% 218.98/141.53 inference(tautology,[status(thm)],[])).
% 218.98/141.53 tff(33702,plain,
% 218.98/141.53 ((~(v84(constB34, 2) <=> v123(constB34, 2))) | (~v123(constB34, 2))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33701, 33563])).
% 218.98/141.53 tff(33703,plain,
% 218.98/141.53 (~v123(constB34, 2)),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33702, 33700])).
% 218.98/141.53 tff(33704,plain,
% 218.98/141.53 ((~(v123(constB34, 2) <=> v121(constB33, 2))) | v123(constB34, 2) | (~v121(constB33, 2))),
% 218.98/141.53 inference(tautology,[status(thm)],[])).
% 218.98/141.53 tff(33705,plain,
% 218.98/141.53 ((~(v123(constB34, 2) <=> v121(constB33, 2))) | (~v121(constB33, 2))),
% 218.98/141.53 inference(unit_resolution,[status(thm)],[33704, 33703])).
% 218.98/141.53 tff(33706,plain,
% 218.98/141.53 (~v121(constB33, 2)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33705, 33691])).
% 218.98/141.54 tff(33707,plain,
% 218.98/141.54 ((~(v121(constB33, 2) <=> v124(constB33, 2))) | v121(constB33, 2) | (~v124(constB33, 2))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33708,plain,
% 218.98/141.54 ((~(v121(constB33, 2) <=> v124(constB33, 2))) | (~v124(constB33, 2))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33707, 33706])).
% 218.98/141.54 tff(33709,plain,
% 218.98/141.54 (~v124(constB33, 2)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33708, 33682])).
% 218.98/141.54 tff(33710,assumption,(~v124(constB33, 2)), introduced(assumption)).
% 218.98/141.54 tff(33711,plain,
% 218.98/141.54 ((~(v124(constB33, 2) <=> b100(2))) | v124(constB33, 2) | (~b100(2))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33712,plain,
% 218.98/141.54 (~(v124(constB33, 2) <=> b100(2))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33711, 2250, 33710])).
% 218.98/141.54 tff(33713,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))), introduced(assumption)).
% 218.98/141.54 tff(33714,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | (v124(constB33, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | (v124(constB33, 2) <=> b100(2)))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33715,plain,
% 218.98/141.54 (($false | $false | (v124(constB33, 2) <=> b100(2))) <=> (v124(constB33, 2) <=> b100(2))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33716,plain,
% 218.98/141.54 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b100(2))) <=> ($false | $false | (v124(constB33, 2) <=> b100(2)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[534, 533])).
% 218.98/141.54 tff(33717,plain,
% 218.98/141.54 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b100(2))) <=> (v124(constB33, 2) <=> b100(2))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33716, 33715])).
% 218.98/141.54 tff(33718,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | (v124(constB33, 2) <=> b100(2)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33717])).
% 218.98/141.54 tff(33719,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | (v124(constB33, 2) <=> b100(2)))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33718, 33714])).
% 218.98/141.54 tff(33720,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b100(2)))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33721,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | (v124(constB33, 2) <=> b100(2))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33720, 33719])).
% 218.98/141.54 tff(33722,plain,
% 218.98/141.54 ($false),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33721, 33713, 33712])).
% 218.98/141.54 tff(33723,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | v124(constB33, 2)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.54 tff(33724,plain,
% 218.98/141.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33723, 33709])).
% 218.98/141.54 tff(33725,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33726,plain,
% 218.98/141.54 (((~v116(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33727,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33726])).
% 218.98/141.54 tff(33728,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B))))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33727, 33725])).
% 218.98/141.54 tff(33729,plain,
% 218.98/141.54 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33730,plain,
% 218.98/141.54 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33729, 33728])).
% 218.98/141.54 tff(33731,plain,
% 218.98/141.54 ((~v116(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33730, 2230])).
% 218.98/141.54 tff(33732,plain,
% 218.98/141.54 (~v116(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33731, 33724])).
% 218.98/141.54 tff(33733,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 0) <=> v124(constB33, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 0) <=> v124(constB33, 0)))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33734,plain,
% 218.98/141.54 (($false | $false | (v121(constB33, 0) <=> v124(constB33, 0))) <=> (v121(constB33, 0) <=> v124(constB33, 0))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33735,plain,
% 218.98/141.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB33, 0) <=> v124(constB33, 0))) <=> ($false | $false | (v121(constB33, 0) <=> v124(constB33, 0)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.54 tff(33736,plain,
% 218.98/141.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB33, 0) <=> v124(constB33, 0))) <=> (v121(constB33, 0) <=> v124(constB33, 0))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33735, 33734])).
% 218.98/141.54 tff(33737,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB33, 0) <=> v124(constB33, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 0) <=> v124(constB33, 0)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33736])).
% 218.98/141.54 tff(33738,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB33, 0) <=> v124(constB33, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 0) <=> v124(constB33, 0)))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33737, 33733])).
% 218.98/141.54 tff(33739,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB33, 0) <=> v124(constB33, 0)))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33740,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB33, B) <=> v124(constB33, B)))) | (v121(constB33, 0) <=> v124(constB33, 0))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33739, 33738])).
% 218.98/141.54 tff(33741,plain,
% 218.98/141.54 (v121(constB33, 0) <=> v124(constB33, 0)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33740, 33575])).
% 218.98/141.54 tff(33742,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 0) <=> v121(constB33, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 0) <=> v121(constB33, 0)))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33743,plain,
% 218.98/141.54 (($false | $false | (v123(constB34, 0) <=> v121(constB33, 0))) <=> (v123(constB34, 0) <=> v121(constB33, 0))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33744,plain,
% 218.98/141.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB34, 0) <=> v121(constB33, 0))) <=> ($false | $false | (v123(constB34, 0) <=> v121(constB33, 0)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.54 tff(33745,plain,
% 218.98/141.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB34, 0) <=> v121(constB33, 0))) <=> (v123(constB34, 0) <=> v121(constB33, 0))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33744, 33743])).
% 218.98/141.54 tff(33746,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB34, 0) <=> v121(constB33, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 0) <=> v121(constB33, 0)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33745])).
% 218.98/141.54 tff(33747,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB34, 0) <=> v121(constB33, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 0) <=> v121(constB33, 0)))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33746, 33742])).
% 218.98/141.54 tff(33748,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB34, 0) <=> v121(constB33, 0)))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33749,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB34, B) <=> v121(constB33, B)))) | (v123(constB34, 0) <=> v121(constB33, 0))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33748, 33747])).
% 218.98/141.54 tff(33750,plain,
% 218.98/141.54 (v123(constB34, 0) <=> v121(constB33, 0)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33749, 33591])).
% 218.98/141.54 tff(33751,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 0) <=> v123(constB34, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 0) <=> v123(constB34, 0)))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33752,plain,
% 218.98/141.54 (($false | $false | (v84(constB34, 0) <=> v123(constB34, 0))) <=> (v84(constB34, 0) <=> v123(constB34, 0))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33753,plain,
% 218.98/141.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB34, 0) <=> v123(constB34, 0))) <=> ($false | $false | (v84(constB34, 0) <=> v123(constB34, 0)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.54 tff(33754,plain,
% 218.98/141.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB34, 0) <=> v123(constB34, 0))) <=> (v84(constB34, 0) <=> v123(constB34, 0))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33753, 33752])).
% 218.98/141.54 tff(33755,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB34, 0) <=> v123(constB34, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 0) <=> v123(constB34, 0)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33754])).
% 218.98/141.54 tff(33756,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB34, 0) <=> v123(constB34, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 0) <=> v123(constB34, 0)))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33755, 33751])).
% 218.98/141.54 tff(33757,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB34, 0) <=> v123(constB34, 0)))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33758,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (v84(constB34, 0) <=> v123(constB34, 0))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33757, 33756])).
% 218.98/141.54 tff(33759,plain,
% 218.98/141.54 (v84(constB34, 0) <=> v123(constB34, 0)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33758, 33564])).
% 218.98/141.54 tff(33760,plain,
% 218.98/141.54 ((~(v84(constB35, 0) <=> v84(constB34, 0))) | (~v84(constB34, 0))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[31961, 33144])).
% 218.98/141.54 tff(33761,plain,
% 218.98/141.54 (~v84(constB34, 0)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33760, 31960])).
% 218.98/141.54 tff(33762,plain,
% 218.98/141.54 ((~(v84(constB34, 0) <=> v123(constB34, 0))) | v84(constB34, 0) | (~v123(constB34, 0))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33763,plain,
% 218.98/141.54 ((~(v84(constB34, 0) <=> v123(constB34, 0))) | (~v123(constB34, 0))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33762, 33761])).
% 218.98/141.54 tff(33764,plain,
% 218.98/141.54 (~v123(constB34, 0)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33763, 33759])).
% 218.98/141.54 tff(33765,plain,
% 218.98/141.54 ((~(v123(constB34, 0) <=> v121(constB33, 0))) | v123(constB34, 0) | (~v121(constB33, 0))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33766,plain,
% 218.98/141.54 ((~(v123(constB34, 0) <=> v121(constB33, 0))) | (~v121(constB33, 0))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33765, 33764])).
% 218.98/141.54 tff(33767,plain,
% 218.98/141.54 (~v121(constB33, 0)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33766, 33750])).
% 218.98/141.54 tff(33768,plain,
% 218.98/141.54 ((~(v121(constB33, 0) <=> v124(constB33, 0))) | v121(constB33, 0) | (~v124(constB33, 0))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33769,plain,
% 218.98/141.54 ((~(v121(constB33, 0) <=> v124(constB33, 0))) | (~v124(constB33, 0))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33768, 33767])).
% 218.98/141.54 tff(33770,plain,
% 218.98/141.54 (~v124(constB33, 0)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33769, 33741])).
% 218.98/141.54 tff(33771,assumption,(~v124(constB33, 0)), introduced(assumption)).
% 218.98/141.54 tff(33772,plain,
% 218.98/141.54 ((~(v124(constB33, 0) <=> b101(0))) | v124(constB33, 0) | (~b101(0))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33773,plain,
% 218.98/141.54 (~(v124(constB33, 0) <=> b101(0))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33772, 2042, 33771])).
% 218.98/141.54 tff(33774,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))), introduced(assumption)).
% 218.98/141.54 tff(33775,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 0) <=> b101(0)))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33776,plain,
% 218.98/141.54 (($false | $false | (v124(constB33, 0) <=> b101(0))) <=> (v124(constB33, 0) <=> b101(0))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33777,plain,
% 218.98/141.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b101(0))) <=> ($false | $false | (v124(constB33, 0) <=> b101(0)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.54 tff(33778,plain,
% 218.98/141.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b101(0))) <=> (v124(constB33, 0) <=> b101(0))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33777, 33776])).
% 218.98/141.54 tff(33779,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 0) <=> b101(0)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33778])).
% 218.98/141.54 tff(33780,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 0) <=> b101(0)))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33779, 33775])).
% 218.98/141.54 tff(33781,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b101(0)))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33782,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 0) <=> b101(0))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33781, 33780])).
% 218.98/141.54 tff(33783,plain,
% 218.98/141.54 ($false),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33782, 33774, 33773])).
% 218.98/141.54 tff(33784,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | v124(constB33, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.54 tff(33785,plain,
% 218.98/141.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33784, 33770])).
% 218.98/141.54 tff(33786,assumption,(v117(constB33)), introduced(assumption)).
% 218.98/141.54 tff(33787,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))), introduced(assumption)).
% 218.98/141.54 tff(33788,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33789,plain,
% 218.98/141.54 (((~v117(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33790,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33789])).
% 218.98/141.54 tff(33791,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B))))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33790, 33788])).
% 218.98/141.54 tff(33792,plain,
% 218.98/141.54 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33793,plain,
% 218.98/141.54 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33792, 33791])).
% 218.98/141.54 tff(33794,plain,
% 218.98/141.54 ($false),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33793, 2090, 33787, 33786])).
% 218.98/141.54 tff(33795,plain,((~v117(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.54 tff(33796,plain,
% 218.98/141.54 (~v117(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33795, 33785])).
% 218.98/141.54 tff(33797,plain,
% 218.98/141.54 ((~(v124(constB33, 0) <=> b001(0))) | v124(constB33, 0) | (~b001(0))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33798,plain,
% 218.98/141.54 (~(v124(constB33, 0) <=> b001(0))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33797, 1940, 33771])).
% 218.98/141.54 tff(33799,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))), introduced(assumption)).
% 218.98/141.54 tff(33800,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 0) <=> b001(0)))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33801,plain,
% 218.98/141.54 (($false | $false | (v124(constB33, 0) <=> b001(0))) <=> (v124(constB33, 0) <=> b001(0))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33802,plain,
% 218.98/141.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b001(0))) <=> ($false | $false | (v124(constB33, 0) <=> b001(0)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.54 tff(33803,plain,
% 218.98/141.54 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b001(0))) <=> (v124(constB33, 0) <=> b001(0))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33802, 33801])).
% 218.98/141.54 tff(33804,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 0) <=> b001(0)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33803])).
% 218.98/141.54 tff(33805,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 0) <=> b001(0)))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33804, 33800])).
% 218.98/141.54 tff(33806,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b001(0)))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33807,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 0) <=> b001(0))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33806, 33805])).
% 218.98/141.54 tff(33808,plain,
% 218.98/141.54 ($false),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33807, 33799, 33798])).
% 218.98/141.54 tff(33809,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | v124(constB33, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.54 tff(33810,plain,
% 218.98/141.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33809, 33770])).
% 218.98/141.54 tff(33811,assumption,(v113(constB33)), introduced(assumption)).
% 218.98/141.54 tff(33812,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))), introduced(assumption)).
% 218.98/141.54 tff(33813,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33814,plain,
% 218.98/141.54 (((~v113(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33815,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33814])).
% 218.98/141.54 tff(33816,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33815, 33813])).
% 218.98/141.54 tff(33817,plain,
% 218.98/141.54 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33818,plain,
% 218.98/141.54 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33817, 33816])).
% 218.98/141.54 tff(33819,plain,
% 218.98/141.54 ($false),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33818, 2117, 33812, 33811])).
% 218.98/141.54 tff(33820,plain,((~v113(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.54 tff(33821,plain,
% 218.98/141.54 (~v113(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33820, 33810])).
% 218.98/141.54 tff(33822,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB33) | v115(constB33) | v117(constB33) | v116(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB33) | v115(constB33) | v117(constB33) | v116(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33823,plain,
% 218.98/141.54 ((v118(constB33) | v117(constB33) | v116(constB33) | v115(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) <=> (v118(constB33) | v115(constB33) | v117(constB33) | v116(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33824,plain,
% 218.98/141.54 (^[B: $int] : rewrite(((v124(constB33, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))),
% 218.98/141.54 inference(bind,[status(th)],[])).
% 218.98/141.54 tff(33825,plain,
% 218.98/141.54 (![B: $int] : ((v124(constB33, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))),
% 218.98/141.54 inference(quant_intro,[status(thm)],[33824])).
% 218.98/141.54 tff(33826,plain,
% 218.98/141.54 ((v118(constB33) | v117(constB33) | v116(constB33) | v115(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ((v124(constB33, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB33) | v117(constB33) | v116(constB33) | v115(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33825])).
% 218.98/141.54 tff(33827,plain,
% 218.98/141.54 ((v118(constB33) | v117(constB33) | v116(constB33) | v115(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ((v124(constB33, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB33) | v115(constB33) | v117(constB33) | v116(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33826, 33823])).
% 218.98/141.54 tff(33828,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB33) | v117(constB33) | v116(constB33) | v115(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ((v124(constB33, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB33) | v115(constB33) | v117(constB33) | v116(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33827])).
% 218.98/141.54 tff(33829,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB33) | v117(constB33) | v116(constB33) | v115(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ((v124(constB33, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB33) | v115(constB33) | v117(constB33) | v116(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33828, 33822])).
% 218.98/141.54 tff(33830,plain,
% 218.98/141.54 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB33) | v117(constB33) | v116(constB33) | v115(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ((v124(constB33, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33831,plain,
% 218.98/141.54 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB33) | v115(constB33) | v117(constB33) | v116(constB33) | v114(constB33) | v113(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33830, 33829])).
% 218.98/141.54 tff(33832,plain,
% 218.98/141.54 (v118(constB33) | v115(constB33) | v116(constB33) | v114(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33831, 1807, 33810, 33821, 33796])).
% 218.98/141.54 tff(33833,plain,
% 218.98/141.54 (v118(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33832, 33732, 33673, 33648])).
% 218.98/141.54 tff(33834,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33835,plain,
% 218.98/141.54 (((~v118(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33836,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33835])).
% 218.98/141.54 tff(33837,plain,
% 218.98/141.54 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B))))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33836, 33834])).
% 218.98/141.54 tff(33838,plain,
% 218.98/141.54 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB33)) | ![B: $int] : ((v124(constB33, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33839,plain,
% 218.98/141.54 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33838, 33837])).
% 218.98/141.54 tff(33840,plain,
% 218.98/141.54 ((~v118(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33839, 1977])).
% 218.98/141.54 tff(33841,plain,
% 218.98/141.54 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33840, 33833])).
% 218.98/141.54 tff(33842,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))) | (v124(constB33, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))) | (v124(constB33, 1) <=> b110(1)))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33843,plain,
% 218.98/141.54 (($false | $false | (v124(constB33, 1) <=> b110(1))) <=> (v124(constB33, 1) <=> b110(1))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33844,plain,
% 218.98/141.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b110(1))) <=> ($false | $false | (v124(constB33, 1) <=> b110(1)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[402, 401])).
% 218.98/141.54 tff(33845,plain,
% 218.98/141.54 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b110(1))) <=> (v124(constB33, 1) <=> b110(1))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33844, 33843])).
% 218.98/141.54 tff(33846,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))) | (v124(constB33, 1) <=> b110(1)))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33845])).
% 218.98/141.54 tff(33847,plain,
% 218.98/141.54 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))) | (v124(constB33, 1) <=> b110(1)))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33846, 33842])).
% 218.98/141.54 tff(33848,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b110(1)))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33849,plain,
% 218.98/141.54 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))) | (v124(constB33, 1) <=> b110(1))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33848, 33847])).
% 218.98/141.54 tff(33850,plain,
% 218.98/141.54 ($false),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33849, 33841, 33622])).
% 218.98/141.54 tff(33851,plain,(v84(constB34, 2) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | v84(constB35, 0) | v84(constB35, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.54 tff(33852,plain,
% 218.98/141.54 ($false),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33851, 33568, 33566, 33564, 33563])).
% 218.98/141.54 tff(33853,plain,(v84(constB34, 2) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | v84(constB34, 0) | v84(constB34, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.54 tff(33854,plain,
% 218.98/141.54 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33853, 33563, 32203, 32206])).
% 218.98/141.54 tff(33855,plain,
% 218.98/141.54 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33856,plain,
% 218.98/141.54 (((~v94(constB34)) | ![B: $int] : ((v84(constB34, B) <=> v123(constB34, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33857,plain,
% 218.98/141.54 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB34)) | ![B: $int] : ((v84(constB34, B) <=> v123(constB34, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33856])).
% 218.98/141.54 tff(33858,plain,
% 218.98/141.54 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB34)) | ![B: $int] : ((v84(constB34, B) <=> v123(constB34, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B))))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33857, 33855])).
% 218.98/141.54 tff(33859,plain,
% 218.98/141.54 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB34)) | ![B: $int] : ((v84(constB34, B) <=> v123(constB34, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33860,plain,
% 218.98/141.54 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33859, 33858])).
% 218.98/141.54 tff(33861,plain,
% 218.98/141.54 ((~v94(constB34)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33860, 1491])).
% 218.98/141.54 tff(33862,plain,
% 218.98/141.54 (~v94(constB34)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33861, 33854])).
% 218.98/141.54 tff(33863,plain,
% 218.98/141.54 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[31714, 33862])).
% 218.98/141.54 tff(33864,plain,
% 218.98/141.54 (v84(constB34, 1) <=> v84(constB33, 1)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[31816, 33863])).
% 218.98/141.54 tff(33865,plain,
% 218.98/141.54 ((~(v84(constB34, 1) <=> v84(constB33, 1))) | (~v84(constB33, 1))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[31818, 32206])).
% 218.98/141.54 tff(33866,plain,
% 218.98/141.54 (~v84(constB33, 1)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33865, 33864])).
% 218.98/141.54 tff(33867,plain,
% 218.98/141.54 ((v110(constB33) | v117(constB33)) | (~v117(constB33))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33868,plain,
% 218.98/141.54 (v110(constB33) | v117(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33867, 33786])).
% 218.98/141.54 tff(33869,plain,
% 218.98/141.54 ((~(v109(constB33) <=> (v110(constB33) | v117(constB33)))) | v109(constB33) | (~(v110(constB33) | v117(constB33)))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33870,plain,
% 218.98/141.54 (v109(constB33) | (~(v110(constB33) | v117(constB33)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33869, 31645])).
% 218.98/141.54 tff(33871,plain,
% 218.98/141.54 (v109(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33870, 33868])).
% 218.98/141.54 tff(33872,plain,
% 218.98/141.54 ((v109(constB33) | v118(constB33)) | (~v109(constB33))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33873,plain,
% 218.98/141.54 (v109(constB33) | v118(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33872, 33871])).
% 218.98/141.54 tff(33874,plain,
% 218.98/141.54 ((~(v108(constB33) <=> (v109(constB33) | v118(constB33)))) | v108(constB33) | (~(v109(constB33) | v118(constB33)))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33875,plain,
% 218.98/141.54 (v108(constB33) | (~(v109(constB33) | v118(constB33)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33874, 31654])).
% 218.98/141.54 tff(33876,plain,
% 218.98/141.54 (v108(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33875, 33873])).
% 218.98/141.54 tff(33877,plain,
% 218.98/141.54 ((v108(constB33) | v119(constB33)) | (~v108(constB33))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33878,plain,
% 218.98/141.54 (v108(constB33) | v119(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33877, 33876])).
% 218.98/141.54 tff(33879,plain,
% 218.98/141.54 ((~(v107(constB33) <=> (v108(constB33) | v119(constB33)))) | v107(constB33) | (~(v108(constB33) | v119(constB33)))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33880,plain,
% 218.98/141.54 (v107(constB33) | (~(v108(constB33) | v119(constB33)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33879, 31663])).
% 218.98/141.54 tff(33881,plain,
% 218.98/141.54 (v107(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33880, 33878])).
% 218.98/141.54 tff(33882,plain,
% 218.98/141.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB33)) <=> v105(constB33))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33883,plain,
% 218.98/141.54 ((~v120(constB33)) <=> v105(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33882, 144])).
% 218.98/141.54 tff(33884,plain,
% 218.98/141.54 ((~((~v120(constB33)) <=> v105(constB33))) | v120(constB33) | v105(constB33)),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33885,plain,
% 218.98/141.54 ((~((~v120(constB33)) <=> v105(constB33))) | v120(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33884, 31680])).
% 218.98/141.54 tff(33886,plain,
% 218.98/141.54 (v120(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33885, 33883])).
% 218.98/141.54 tff(33887,plain,
% 218.98/141.54 ((~((~v107(constB33)) | (~v120(constB33)))) | (~v107(constB33)) | (~v120(constB33))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33888,plain,
% 218.98/141.54 ((~((~v107(constB33)) | (~v120(constB33)))) | (~v107(constB33))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33887, 33886])).
% 218.98/141.54 tff(33889,plain,
% 218.98/141.54 (~((~v107(constB33)) | (~v120(constB33)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33888, 33881])).
% 218.98/141.54 tff(33890,plain,
% 218.98/141.54 ((~(v106(constB33) <=> (~((~v107(constB33)) | (~v120(constB33)))))) | v106(constB33) | ((~v107(constB33)) | (~v120(constB33)))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33891,plain,
% 218.98/141.54 (v106(constB33) | ((~v107(constB33)) | (~v120(constB33)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33890, 31670])).
% 218.98/141.54 tff(33892,plain,
% 218.98/141.54 (v106(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33891, 33889])).
% 218.98/141.54 tff(33893,plain,
% 218.98/141.54 ((v105(constB33) | v106(constB33)) | (~v106(constB33))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33894,plain,
% 218.98/141.54 (v105(constB33) | v106(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33893, 33892])).
% 218.98/141.54 tff(33895,plain,
% 218.98/141.54 ((~(v102(constB33) <=> (v105(constB33) | v106(constB33)))) | v102(constB33) | (~(v105(constB33) | v106(constB33)))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33896,plain,
% 218.98/141.54 (v102(constB33) | (~(v105(constB33) | v106(constB33)))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33895, 31685])).
% 218.98/141.54 tff(33897,plain,
% 218.98/141.54 (v102(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33896, 33894])).
% 218.98/141.54 tff(33898,plain,
% 218.98/141.54 ((~(v104(constB34) <=> v102(constB33))) | v104(constB34) | (~v102(constB33))),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33899,plain,
% 218.98/141.54 (v104(constB34) | (~v102(constB33))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33898, 31695])).
% 218.98/141.54 tff(33900,plain,
% 218.98/141.54 (v104(constB34)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33899, 33897])).
% 218.98/141.54 tff(33901,plain,
% 218.98/141.54 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33902,plain,
% 218.98/141.54 (((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34)))))) <=> ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33903,plain,
% 218.98/141.54 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34)))))))),
% 218.98/141.54 inference(monotonicity,[status(thm)],[33902])).
% 218.98/141.54 tff(33904,plain,
% 218.98/141.54 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))),
% 218.98/141.54 inference(transitivity,[status(thm)],[33903, 33901])).
% 218.98/141.54 tff(33905,plain,
% 218.98/141.54 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34))))))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33906,plain,
% 218.98/141.54 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34)))))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33905, 33904])).
% 218.98/141.54 tff(33907,plain,
% 218.98/141.54 (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33906, 31691, 37])).
% 218.98/141.54 tff(33908,plain,
% 218.98/141.54 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34)))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33909,plain,
% 218.98/141.54 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34)))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33910,plain,
% 218.98/141.54 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33909, 33908])).
% 218.98/141.54 tff(33911,plain,
% 218.98/141.54 ((~v96(constB34)) <=> v98(constB34)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33910, 31691, 54])).
% 218.98/141.54 tff(33912,plain,
% 218.98/141.54 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33)))),
% 218.98/141.54 inference(rewrite,[status(thm)],[])).
% 218.98/141.54 tff(33913,plain,
% 218.98/141.54 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33)))),
% 218.98/141.54 inference(quant_inst,[status(thm)],[])).
% 218.98/141.54 tff(33914,plain,
% 218.98/141.54 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33))),
% 218.98/141.54 inference(modus_ponens,[status(thm)],[33913, 33912])).
% 218.98/141.54 tff(33915,plain,
% 218.98/141.54 (v98(constB34) <=> v1(constB33)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33914, 31691, 68])).
% 218.98/141.54 tff(33916,plain,
% 218.98/141.54 ((~(v98(constB34) <=> v1(constB33))) | (~v98(constB34)) | v1(constB33)),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33917,plain,
% 218.98/141.54 ((~(v98(constB34) <=> v1(constB33))) | (~v98(constB34))),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33916, 31467])).
% 218.98/141.54 tff(33918,plain,
% 218.98/141.54 (~v98(constB34)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33917, 33915])).
% 218.98/141.54 tff(33919,plain,
% 218.98/141.54 ((~((~v96(constB34)) <=> v98(constB34))) | v96(constB34) | v98(constB34)),
% 218.98/141.54 inference(tautology,[status(thm)],[])).
% 218.98/141.54 tff(33920,plain,
% 218.98/141.54 (v96(constB34)),
% 218.98/141.54 inference(unit_resolution,[status(thm)],[33919, 33918, 33911])).
% 218.98/141.55 tff(33921,plain,
% 218.98/141.55 (v1(constB34) <=> v1(constB34)),
% 218.98/141.55 inference(rewrite,[status(thm)],[])).
% 218.98/141.55 tff(33922,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34')).
% 218.98/141.55 tff(33923,plain,
% 218.98/141.55 (v1(constB34)),
% 218.98/141.55 inference(modus_ponens,[status(thm)],[33922, 33921])).
% 218.98/141.55 tff(33924,plain,
% 218.98/141.55 ((~((~v1(constB34)) | (~v96(constB34)))) | (~v1(constB34)) | (~v96(constB34))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33925,plain,
% 218.98/141.55 ((~((~v1(constB34)) | (~v96(constB34)))) | (~v96(constB34))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33924, 33923])).
% 218.98/141.55 tff(33926,plain,
% 218.98/141.55 (~((~v1(constB34)) | (~v96(constB34)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33925, 33920])).
% 218.98/141.55 tff(33927,plain,
% 218.98/141.55 ((~(v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34)))))) | v95(constB34) | ((~v1(constB34)) | (~v96(constB34)))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33928,plain,
% 218.98/141.55 (v95(constB34)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33927, 33926, 33907])).
% 218.98/141.55 tff(33929,plain,
% 218.98/141.55 ((~((~v95(constB34)) | (~v104(constB34)))) | (~v95(constB34)) | (~v104(constB34))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33930,plain,
% 218.98/141.55 ((~((~v95(constB34)) | (~v104(constB34)))) | (~v104(constB34))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33929, 33928])).
% 218.98/141.55 tff(33931,plain,
% 218.98/141.55 (~((~v95(constB34)) | (~v104(constB34)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33930, 33900])).
% 218.98/141.55 tff(33932,plain,
% 218.98/141.55 ((~(v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34)))))) | v94(constB34) | ((~v95(constB34)) | (~v104(constB34)))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33933,plain,
% 218.98/141.55 (v94(constB34) | ((~v95(constB34)) | (~v104(constB34)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33932, 31704])).
% 218.98/141.55 tff(33934,plain,
% 218.98/141.55 (v94(constB34)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33933, 33931])).
% 218.98/141.55 tff(33935,plain,
% 218.98/141.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33861, 33934])).
% 218.98/141.55 tff(33936,plain,
% 218.98/141.55 (v84(constB34, 2) <=> v123(constB34, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33699, 33935])).
% 218.98/141.55 tff(33937,plain,
% 218.98/141.55 (~v123(constB34, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33702, 33936])).
% 218.98/141.55 tff(33938,plain,
% 218.98/141.55 ((~(v123(constB34, 2) <=> v121(constB33, 2))) | (~v121(constB33, 2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33704, 33937])).
% 218.98/141.55 tff(33939,plain,
% 218.98/141.55 (~v121(constB33, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33938, 33691])).
% 218.98/141.55 tff(33940,plain,
% 218.98/141.55 ((~(v121(constB33, 2) <=> v124(constB33, 2))) | (~v124(constB33, 2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33707, 33939])).
% 218.98/141.55 tff(33941,plain,
% 218.98/141.55 (~v124(constB33, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33940, 33682])).
% 218.98/141.55 tff(33942,plain,
% 218.98/141.55 ((~(v124(constB33, 2) <=> b101(2))) | v124(constB33, 2) | (~b101(2))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33943,plain,
% 218.98/141.55 (~(v124(constB33, 2) <=> b101(2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33942, 2354, 33941])).
% 218.98/141.55 tff(33944,plain,
% 218.98/141.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33795, 33786])).
% 218.98/141.55 tff(33945,plain,
% 218.98/141.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 2) <=> b101(2)))),
% 218.98/141.55 inference(rewrite,[status(thm)],[])).
% 218.98/141.55 tff(33946,plain,
% 218.98/141.55 (($false | $false | (v124(constB33, 2) <=> b101(2))) <=> (v124(constB33, 2) <=> b101(2))),
% 218.98/141.55 inference(rewrite,[status(thm)],[])).
% 218.98/141.55 tff(33947,plain,
% 218.98/141.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b101(2))) <=> ($false | $false | (v124(constB33, 2) <=> b101(2)))),
% 218.98/141.55 inference(monotonicity,[status(thm)],[534, 533])).
% 218.98/141.55 tff(33948,plain,
% 218.98/141.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b101(2))) <=> (v124(constB33, 2) <=> b101(2))),
% 218.98/141.55 inference(transitivity,[status(thm)],[33947, 33946])).
% 218.98/141.55 tff(33949,plain,
% 218.98/141.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 2) <=> b101(2)))),
% 218.98/141.55 inference(monotonicity,[status(thm)],[33948])).
% 218.98/141.55 tff(33950,plain,
% 218.98/141.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 2) <=> b101(2)))),
% 218.98/141.55 inference(transitivity,[status(thm)],[33949, 33945])).
% 218.98/141.55 tff(33951,plain,
% 218.98/141.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b101(2)))),
% 218.98/141.55 inference(quant_inst,[status(thm)],[])).
% 218.98/141.55 tff(33952,plain,
% 218.98/141.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 2) <=> b101(2))),
% 218.98/141.55 inference(modus_ponens,[status(thm)],[33951, 33950])).
% 218.98/141.55 tff(33953,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33952, 33944, 33943])).
% 218.98/141.55 tff(33954,plain,((~v117(constB33)) | v84(constB34, 2)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(33955,plain,
% 218.98/141.55 (~v117(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33954, 33563])).
% 218.98/141.55 tff(33956,plain,
% 218.98/141.55 ((~(v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))))) | v117(constB33) | (v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33957,plain,
% 218.98/141.55 (v117(constB33) | (v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33956, 31549])).
% 218.98/141.55 tff(33958,plain,
% 218.98/141.55 (v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33957, 33955])).
% 218.98/141.55 tff(33959,plain,
% 218.98/141.55 (v84(constB34, 0) <=> v84(constB33, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31787, 33863])).
% 218.98/141.55 tff(33960,plain,
% 218.98/141.55 ((~(v84(constB34, 0) <=> v84(constB33, 0))) | (~v84(constB33, 0))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31789, 32203])).
% 218.98/141.55 tff(33961,plain,
% 218.98/141.55 (~v84(constB33, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33960, 33959])).
% 218.98/141.55 tff(33962,assumption,(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2)), introduced(assumption)).
% 218.98/141.55 tff(33963,assumption,(~v84(constB33, 0)), introduced(assumption)).
% 218.98/141.55 tff(33964,assumption,(~v84(constB33, 1)), introduced(assumption)).
% 218.98/141.55 tff(33965,assumption,(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))), introduced(assumption)).
% 218.98/141.55 tff(33966,plain,
% 218.98/141.55 ((~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))) | v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33967,plain,
% 218.98/141.55 (~v84(constB33, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33966, 33964, 33963, 33965])).
% 218.98/141.55 tff(33968,plain,
% 218.98/141.55 ((~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))) | v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2)),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33969,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33968, 33967, 33964, 33963, 33962])).
% 218.98/141.55 tff(33970,plain,(v84(constB33, 1) | v84(constB33, 0) | (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))) | (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(33971,plain,
% 218.98/141.55 (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33970, 33961, 33958, 33866])).
% 218.98/141.55 tff(33972,plain,
% 218.98/141.55 ((~(v113(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))))) | v113(constB33) | (v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33973,plain,
% 218.98/141.55 (v113(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33972, 33971, 31569])).
% 218.98/141.55 tff(33974,assumption,(~(v112(constB33) <=> (v113(constB33) | v114(constB33)))), introduced(assumption)).
% 218.98/141.55 tff(33975,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31557, 283, 33974])).
% 218.98/141.55 tff(33976,plain,(v112(constB33) <=> (v113(constB33) | v114(constB33))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(33977,plain,
% 218.98/141.55 ((~v95(constB34)) | (~v104(constB34))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33933, 33862])).
% 218.98/141.55 tff(33978,plain,
% 218.98/141.55 (~v104(constB34)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33930, 33977])).
% 218.98/141.55 tff(33979,plain,
% 218.98/141.55 (~v102(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33899, 33978])).
% 218.98/141.55 tff(33980,plain,
% 218.98/141.55 (~(v105(constB33) | v106(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33896, 33979])).
% 218.98/141.55 tff(33981,plain,
% 218.98/141.55 (~v106(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33893, 33980])).
% 218.98/141.55 tff(33982,plain,
% 218.98/141.55 ((~v107(constB33)) | (~v120(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33891, 33981])).
% 218.98/141.55 tff(33983,plain,
% 218.98/141.55 (~v107(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33888, 33982])).
% 218.98/141.55 tff(33984,plain,
% 218.98/141.55 (~(v108(constB33) | v119(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33880, 33983])).
% 218.98/141.55 tff(33985,plain,
% 218.98/141.55 (~v108(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33877, 33984])).
% 218.98/141.55 tff(33986,plain,
% 218.98/141.55 (~(v109(constB33) | v118(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33875, 33985])).
% 218.98/141.55 tff(33987,plain,
% 218.98/141.55 (~v109(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33872, 33986])).
% 218.98/141.55 tff(33988,plain,
% 218.98/141.55 (~(v110(constB33) | v117(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33870, 33987])).
% 218.98/141.55 tff(33989,plain,
% 218.98/141.55 ((v110(constB33) | v117(constB33)) | (~v110(constB33))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33990,plain,
% 218.98/141.55 (~v110(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33989, 33988])).
% 218.98/141.55 tff(33991,plain,
% 218.98/141.55 ((~(v110(constB33) <=> (v111(constB33) | v116(constB33)))) | v110(constB33) | (~(v111(constB33) | v116(constB33)))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33992,plain,
% 218.98/141.55 ((~(v110(constB33) <=> (v111(constB33) | v116(constB33)))) | (~(v111(constB33) | v116(constB33)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33991, 33990])).
% 218.98/141.55 tff(33993,plain,
% 218.98/141.55 (~(v111(constB33) | v116(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33992, 31554])).
% 218.98/141.55 tff(33994,plain,
% 218.98/141.55 ((v111(constB33) | v116(constB33)) | (~v111(constB33))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33995,plain,
% 218.98/141.55 (~v111(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33994, 33993])).
% 218.98/141.55 tff(33996,plain,
% 218.98/141.55 ((~(v111(constB33) <=> (v112(constB33) | v115(constB33)))) | v111(constB33) | (~(v112(constB33) | v115(constB33)))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(33997,plain,
% 218.98/141.55 ((~(v111(constB33) <=> (v112(constB33) | v115(constB33)))) | (~(v112(constB33) | v115(constB33)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33996, 33995])).
% 218.98/141.55 tff(33998,plain,
% 218.98/141.55 (~(v112(constB33) | v115(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33997, 31556])).
% 218.98/141.55 tff(33999,plain,
% 218.98/141.55 ((v112(constB33) | v115(constB33)) | (~v112(constB33))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34000,plain,
% 218.98/141.55 (~v112(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33999, 33998])).
% 218.98/141.55 tff(34001,plain,
% 218.98/141.55 ((~(v112(constB33) <=> (v113(constB33) | v114(constB33)))) | v112(constB33) | (~(v113(constB33) | v114(constB33)))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34002,plain,
% 218.98/141.55 (~(v113(constB33) | v114(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34001, 34000, 33976])).
% 218.98/141.55 tff(34003,plain,
% 218.98/141.55 ((v113(constB33) | v114(constB33)) | (~v113(constB33))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34004,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34003, 34002, 33973])).
% 218.98/141.55 tff(34005,plain,(v84(constB34, 2) | v84(constB34, 0) | v84(constB34, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34006,plain,
% 218.98/141.55 (v84(constB34, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34005, 32206, 32203])).
% 218.98/141.55 tff(34007,plain,
% 218.98/141.55 (v84(constB35, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31774, 34006])).
% 218.98/141.55 tff(34008,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33164, 34007, 33562, 33163, 33461])).
% 218.98/141.55 tff(34009,plain,(v84(constB34, 1) | (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))) | v84(constB34, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34010,plain,
% 218.98/141.55 (v84(constB34, 1)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34009, 32203, 33556])).
% 218.98/141.55 tff(34011,plain,
% 218.98/141.55 (v84(constB35, 1) | (~v84(constB34, 1))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32046, 33559])).
% 218.98/141.55 tff(34012,plain,
% 218.98/141.55 (v84(constB35, 1)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34011, 34010])).
% 218.98/141.55 tff(34013,plain,
% 218.98/141.55 ((v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)) | (~v84(constB35, 1))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34014,plain,
% 218.98/141.55 (v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34013, 34012])).
% 218.98/141.55 tff(34015,plain,
% 218.98/141.55 ((~(v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))))) | (~v113(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31988, 34014])).
% 218.98/141.55 tff(34016,plain,
% 218.98/141.55 (~v113(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34015, 31985])).
% 218.98/141.55 tff(34017,plain,
% 218.98/141.55 ((v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))) | v84(constB35, 0)),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34018,plain,
% 218.98/141.55 (v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34017, 33461])).
% 218.98/141.55 tff(34019,plain,
% 218.98/141.55 ((~(v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))))) | (~v114(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31981, 34018])).
% 218.98/141.55 tff(34020,plain,
% 218.98/141.55 (~v114(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34019, 31980])).
% 218.98/141.55 tff(34021,assumption,(~v115(constB35)), introduced(assumption)).
% 218.98/141.55 tff(34022,plain,
% 218.98/141.55 ((~(v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))) | (v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33173, 34021])).
% 218.98/141.55 tff(34023,plain,
% 218.98/141.55 (v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34022, 32002])).
% 218.98/141.55 tff(34024,plain,
% 218.98/141.55 (v84(constB35, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33175, 34012, 33461, 34023])).
% 218.98/141.55 tff(34025,plain,
% 218.98/141.55 (v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32020, 34024])).
% 218.98/141.55 tff(34026,plain,
% 218.98/141.55 ((~(v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))))) | (~v116(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32022, 34025])).
% 218.98/141.55 tff(34027,plain,
% 218.98/141.55 (~v116(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34026, 32019])).
% 218.98/141.55 tff(34028,plain,
% 218.98/141.55 ((v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))) | v84(constB35, 0)),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34029,plain,
% 218.98/141.55 (v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34028, 33461])).
% 218.98/141.55 tff(34030,plain,
% 218.98/141.55 ((~(v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))))) | (~v118(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32063, 34029])).
% 218.98/141.55 tff(34031,plain,
% 218.98/141.55 (~v118(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34030, 32060])).
% 218.98/141.55 tff(34032,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))), introduced(assumption)).
% 218.98/141.55 tff(34033,plain,
% 218.98/141.55 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B))))),
% 218.98/141.55 inference(rewrite,[status(thm)],[])).
% 218.98/141.55 tff(34034,plain,
% 218.98/141.55 ((v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) <=> (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B))))),
% 218.98/141.55 inference(rewrite,[status(thm)],[])).
% 218.98/141.55 tff(34035,plain,
% 218.98/141.55 (^[B: $int] : rewrite(((v124(constB35, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B))))),
% 218.98/141.55 inference(bind,[status(th)],[])).
% 218.98/141.55 tff(34036,plain,
% 218.98/141.55 (![B: $int] : ((v124(constB35, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))),
% 218.98/141.55 inference(quant_intro,[status(thm)],[34035])).
% 218.98/141.55 tff(34037,plain,
% 218.98/141.55 ((v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ((v124(constB35, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B))))),
% 218.98/141.55 inference(monotonicity,[status(thm)],[34036])).
% 218.98/141.55 tff(34038,plain,
% 218.98/141.55 ((v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ((v124(constB35, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B))))),
% 218.98/141.55 inference(transitivity,[status(thm)],[34037, 34034])).
% 218.98/141.55 tff(34039,plain,
% 218.98/141.55 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ((v124(constB35, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))))),
% 218.98/141.55 inference(monotonicity,[status(thm)],[34038])).
% 218.98/141.55 tff(34040,plain,
% 218.98/141.55 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ((v124(constB35, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B))))),
% 218.98/141.55 inference(transitivity,[status(thm)],[34039, 34033])).
% 218.98/141.55 tff(34041,plain,
% 218.98/141.55 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ((v124(constB35, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.55 inference(quant_inst,[status(thm)],[])).
% 218.98/141.55 tff(34042,plain,
% 218.98/141.55 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))),
% 218.98/141.55 inference(modus_ponens,[status(thm)],[34041, 34040])).
% 218.98/141.55 tff(34043,plain,
% 218.98/141.55 (v118(constB35) | v116(constB35) | v114(constB35) | v113(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34042, 1807, 33551, 34032, 34021])).
% 218.98/141.55 tff(34044,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34043, 34031, 34027, 34020, 34016])).
% 218.98/141.55 tff(34045,plain,(v84(constB34, 0) | v117(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B))) | v115(constB35)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34046,plain,
% 218.98/141.55 (v115(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34045, 33550, 32203, 33535])).
% 218.98/141.55 tff(34047,assumption,(v115(constB35)), introduced(assumption)).
% 218.98/141.55 tff(34048,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))), introduced(assumption)).
% 218.98/141.55 tff(34049,plain,
% 218.98/141.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B))))),
% 218.98/141.55 inference(rewrite,[status(thm)],[])).
% 218.98/141.55 tff(34050,plain,
% 218.98/141.55 (((~v115(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B))))),
% 218.98/141.55 inference(rewrite,[status(thm)],[])).
% 218.98/141.55 tff(34051,plain,
% 218.98/141.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))))),
% 218.98/141.55 inference(monotonicity,[status(thm)],[34050])).
% 218.98/141.55 tff(34052,plain,
% 218.98/141.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B))))),
% 218.98/141.55 inference(transitivity,[status(thm)],[34051, 34049])).
% 218.98/141.55 tff(34053,plain,
% 218.98/141.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB35)) | ![B: $int] : ((v124(constB35, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.55 inference(quant_inst,[status(thm)],[])).
% 218.98/141.55 tff(34054,plain,
% 218.98/141.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))),
% 218.98/141.55 inference(modus_ponens,[status(thm)],[34053, 34052])).
% 218.98/141.55 tff(34055,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34054, 2144, 34048, 34047])).
% 218.98/141.55 tff(34056,plain,((~v115(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34057,plain,
% 218.98/141.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34056, 34046])).
% 218.98/141.55 tff(34058,plain,
% 218.98/141.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | (v124(constB35, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | (v124(constB35, 0) <=> b011(0)))),
% 218.98/141.55 inference(rewrite,[status(thm)],[])).
% 218.98/141.55 tff(34059,plain,
% 218.98/141.55 (($false | $false | (v124(constB35, 0) <=> b011(0))) <=> (v124(constB35, 0) <=> b011(0))),
% 218.98/141.55 inference(rewrite,[status(thm)],[])).
% 218.98/141.55 tff(34060,plain,
% 218.98/141.55 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b011(0))) <=> ($false | $false | (v124(constB35, 0) <=> b011(0)))),
% 218.98/141.55 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.55 tff(34061,plain,
% 218.98/141.55 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b011(0))) <=> (v124(constB35, 0) <=> b011(0))),
% 218.98/141.55 inference(transitivity,[status(thm)],[34060, 34059])).
% 218.98/141.55 tff(34062,plain,
% 218.98/141.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | (v124(constB35, 0) <=> b011(0)))),
% 218.98/141.55 inference(monotonicity,[status(thm)],[34061])).
% 218.98/141.55 tff(34063,plain,
% 218.98/141.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | (v124(constB35, 0) <=> b011(0)))),
% 218.98/141.55 inference(transitivity,[status(thm)],[34062, 34058])).
% 218.98/141.55 tff(34064,plain,
% 218.98/141.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b011(0)))),
% 218.98/141.55 inference(quant_inst,[status(thm)],[])).
% 218.98/141.55 tff(34065,plain,
% 218.98/141.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | (v124(constB35, 0) <=> b011(0))),
% 218.98/141.55 inference(modus_ponens,[status(thm)],[34064, 34063])).
% 218.98/141.55 tff(34066,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34065, 34057, 33492])).
% 218.98/141.55 tff(34067,plain,(v84(constB36, 0) | v84(constB34, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34068,plain,
% 218.98/141.55 (v84(constB36, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34067, 33440])).
% 218.98/141.55 tff(34069,assumption,(~(v84(constB37, 0) <=> v84(constB36, 0))), introduced(assumption)).
% 218.98/141.55 tff(34070,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32154, 31933, 34069])).
% 218.98/141.55 tff(34071,plain,(v84(constB37, 0) <=> v84(constB36, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34072,plain,
% 218.98/141.55 (v84(constB37, 0) | (~v84(constB36, 0))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32310, 34071])).
% 218.98/141.55 tff(34073,plain,
% 218.98/141.55 (v84(constB37, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34072, 34068])).
% 218.98/141.55 tff(34074,plain,
% 218.98/141.55 ((~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))) | (~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34075,plain,
% 218.98/141.55 (~v84(constB37, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34074, 34073, 33406, 33405])).
% 218.98/141.55 tff(34076,plain,
% 218.98/141.55 (~v84(constB36, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33331, 34075])).
% 218.98/141.55 tff(34077,plain,
% 218.98/141.55 (~v84(constB34, 1)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34011, 33162])).
% 218.98/141.55 tff(34078,plain,
% 218.98/141.55 (v84(constB34, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34009, 34077, 33163])).
% 218.98/141.55 tff(34079,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33439, 34078, 33435])).
% 218.98/141.55 tff(34080,plain,(v84(constB35, 1) | (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))) | v84(constB36, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34081,plain,
% 218.98/141.55 (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34080, 33162, 33066])).
% 218.98/141.55 tff(34082,plain,
% 218.98/141.55 (v117(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33555, 34081])).
% 218.98/141.55 tff(34083,plain,
% 218.98/141.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33534, 34082])).
% 218.98/141.55 tff(34084,plain,
% 218.98/141.55 ((~(v124(constB35, 2) <=> b101(2))) | v124(constB35, 2) | (~b101(2))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34085,plain,
% 218.98/141.55 (~(v124(constB35, 2) <=> b101(2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34084, 2354, 33375])).
% 218.98/141.55 tff(34086,plain,
% 218.98/141.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | (v124(constB35, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | (v124(constB35, 2) <=> b101(2)))),
% 218.98/141.55 inference(rewrite,[status(thm)],[])).
% 218.98/141.55 tff(34087,plain,
% 218.98/141.55 (($false | $false | (v124(constB35, 2) <=> b101(2))) <=> (v124(constB35, 2) <=> b101(2))),
% 218.98/141.55 inference(rewrite,[status(thm)],[])).
% 218.98/141.55 tff(34088,plain,
% 218.98/141.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB35, 2) <=> b101(2))) <=> ($false | $false | (v124(constB35, 2) <=> b101(2)))),
% 218.98/141.55 inference(monotonicity,[status(thm)],[534, 533])).
% 218.98/141.55 tff(34089,plain,
% 218.98/141.55 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB35, 2) <=> b101(2))) <=> (v124(constB35, 2) <=> b101(2))),
% 218.98/141.55 inference(transitivity,[status(thm)],[34088, 34087])).
% 218.98/141.55 tff(34090,plain,
% 218.98/141.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB35, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | (v124(constB35, 2) <=> b101(2)))),
% 218.98/141.55 inference(monotonicity,[status(thm)],[34089])).
% 218.98/141.55 tff(34091,plain,
% 218.98/141.55 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB35, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | (v124(constB35, 2) <=> b101(2)))),
% 218.98/141.55 inference(transitivity,[status(thm)],[34090, 34086])).
% 218.98/141.55 tff(34092,plain,
% 218.98/141.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB35, 2) <=> b101(2)))),
% 218.98/141.55 inference(quant_inst,[status(thm)],[])).
% 218.98/141.55 tff(34093,plain,
% 218.98/141.55 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | (v124(constB35, 2) <=> b101(2))),
% 218.98/141.55 inference(modus_ponens,[status(thm)],[34092, 34091])).
% 218.98/141.55 tff(34094,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34093, 33493, 34085])).
% 218.98/141.55 tff(34095,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b101(B)))) | v124(constB35, 2)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34096,plain,
% 218.98/141.55 (v124(constB35, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34095, 34083])).
% 218.98/141.55 tff(34097,plain,
% 218.98/141.55 (v121(constB35, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33373, 34096])).
% 218.98/141.55 tff(34098,plain,
% 218.98/141.55 (v123(constB36, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33359, 34097])).
% 218.98/141.55 tff(34099,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33345, 34098, 34076, 33402])).
% 218.98/141.55 tff(34100,plain,(v84(constB35, 1) | (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))) | v84(constB36, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34101,plain,
% 218.98/141.55 (v84(constB35, 1)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34100, 33399, 33065])).
% 218.98/141.55 tff(34102,plain,
% 218.98/141.55 (v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34013, 34101])).
% 218.98/141.55 tff(34103,plain,
% 218.98/141.55 ((~(v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))))) | (~v113(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31988, 34102])).
% 218.98/141.55 tff(34104,plain,
% 218.98/141.55 (~v113(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34103, 31985])).
% 218.98/141.55 tff(34105,plain,
% 218.98/141.55 (~(v113(constB35) | v114(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31991, 34104, 33397])).
% 218.98/141.55 tff(34106,plain,
% 218.98/141.55 ((~(v112(constB35) <=> (v113(constB35) | v114(constB35)))) | (~v112(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31993, 34105])).
% 218.98/141.55 tff(34107,plain,
% 218.98/141.55 (~v112(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34106, 31978])).
% 218.98/141.55 tff(34108,plain,
% 218.98/141.55 ((~(v112(constB35) | v115(constB35))) | v112(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32008, 34021])).
% 218.98/141.55 tff(34109,plain,
% 218.98/141.55 (~(v112(constB35) | v115(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34108, 34107])).
% 218.98/141.55 tff(34110,plain,
% 218.98/141.55 (~v111(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32011, 34109, 31976])).
% 218.98/141.55 tff(34111,plain,
% 218.98/141.55 (~(v111(constB35) | v116(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32025, 34110, 33396])).
% 218.98/141.55 tff(34112,plain,
% 218.98/141.55 (~v110(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32028, 34111, 31974])).
% 218.98/141.55 tff(34113,plain,
% 218.98/141.55 (v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32049, 34101])).
% 218.98/141.55 tff(34114,plain,
% 218.98/141.55 ((~v117(constB35)) | (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32051, 33554])).
% 218.98/141.55 tff(34115,plain,
% 218.98/141.55 (~v117(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34114, 34113])).
% 218.98/141.55 tff(34116,plain,
% 218.98/141.55 ((~(v110(constB35) | v117(constB35))) | v110(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32054, 34115])).
% 218.98/141.55 tff(34117,plain,
% 218.98/141.55 (~(v110(constB35) | v117(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34116, 34112])).
% 218.98/141.55 tff(34118,plain,
% 218.98/141.55 (~v109(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32057, 34117, 31972])).
% 218.98/141.55 tff(34119,plain,
% 218.98/141.55 (v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32061, 34101])).
% 218.98/141.55 tff(34120,plain,
% 218.98/141.55 ((~(v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))))) | (~v118(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32063, 34119])).
% 218.98/141.55 tff(34121,plain,
% 218.98/141.55 (~v118(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34120, 32060])).
% 218.98/141.55 tff(34122,plain,
% 218.98/141.55 ((~(v109(constB35) | v118(constB35))) | v109(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32066, 34121])).
% 218.98/141.55 tff(34123,plain,
% 218.98/141.55 (~(v109(constB35) | v118(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34122, 34118])).
% 218.98/141.55 tff(34124,plain,
% 218.98/141.55 (~v108(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32069, 34123, 31970])).
% 218.98/141.55 tff(34125,plain,
% 218.98/141.55 (v119(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32071, 34124, 33325])).
% 218.98/141.55 tff(34126,plain,
% 218.98/141.55 (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31966, 34125, 31951])).
% 218.98/141.55 tff(34127,plain,
% 218.98/141.55 (~v84(constB35, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31964, 34126])).
% 218.98/141.55 tff(34128,plain,
% 218.98/141.55 (~v84(constB34, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33439, 34127])).
% 218.98/141.55 tff(34129,plain,
% 218.98/141.55 (~(v84(constB34, 0) <=> v123(constB34, 0))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33762, 34128, 33316])).
% 218.98/141.55 tff(34130,assumption,(~v107(constB33)), introduced(assumption)).
% 218.98/141.55 tff(34131,plain,
% 218.98/141.55 ((~v107(constB33)) | (~v120(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31667, 34130])).
% 218.98/141.55 tff(34132,plain,
% 218.98/141.55 (~v106(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31672, 34131])).
% 218.98/141.55 tff(34133,plain,
% 218.98/141.55 (~(v105(constB33) | v106(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31682, 34132])).
% 218.98/141.55 tff(34134,plain,
% 218.98/141.55 (~v102(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31687, 34133])).
% 218.98/141.55 tff(34135,plain,
% 218.98/141.55 (~v104(constB34)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31697, 34134])).
% 218.98/141.55 tff(34136,plain,
% 218.98/141.55 ((~v95(constB34)) | (~v104(constB34))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31699, 34135])).
% 218.98/141.55 tff(34137,plain,
% 218.98/141.55 (~v94(constB34)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31706, 34136])).
% 218.98/141.55 tff(34138,plain,
% 218.98/141.55 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31714, 34137])).
% 218.98/141.55 tff(34139,plain,
% 218.98/141.55 (v84(constB34, 1) <=> v84(constB33, 1)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31816, 34138])).
% 218.98/141.55 tff(34140,plain,
% 218.98/141.55 (~(v108(constB33) | v119(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33880, 34130])).
% 218.98/141.55 tff(34141,plain,
% 218.98/141.55 (~v108(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33877, 34140])).
% 218.98/141.55 tff(34142,plain,
% 218.98/141.55 (~(v109(constB33) | v118(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33875, 34141])).
% 218.98/141.55 tff(34143,plain,
% 218.98/141.55 ((v109(constB33) | v118(constB33)) | (~v118(constB33))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34144,plain,
% 218.98/141.55 (~v118(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34143, 34142])).
% 218.98/141.55 tff(34145,plain,
% 218.98/141.55 ((~(v118(constB33) <=> (~(v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2)))))) | v118(constB33) | (v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2)))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34146,plain,
% 218.98/141.55 (v118(constB33) | (v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34145, 31535])).
% 218.98/141.55 tff(34147,plain,
% 218.98/141.55 (v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34146, 34144])).
% 218.98/141.55 tff(34148,plain,
% 218.98/141.55 (~v109(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33872, 34142])).
% 218.98/141.55 tff(34149,plain,
% 218.98/141.55 (~(v110(constB33) | v117(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33870, 34148])).
% 218.98/141.55 tff(34150,plain,
% 218.98/141.55 (~v110(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33989, 34149])).
% 218.98/141.55 tff(34151,plain,
% 218.98/141.55 ((~(v110(constB33) <=> (v111(constB33) | v116(constB33)))) | (~(v111(constB33) | v116(constB33)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33991, 34150])).
% 218.98/141.55 tff(34152,plain,
% 218.98/141.55 (~(v111(constB33) | v116(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34151, 31554])).
% 218.98/141.55 tff(34153,plain,
% 218.98/141.55 (~v111(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33994, 34152])).
% 218.98/141.55 tff(34154,plain,
% 218.98/141.55 ((~(v111(constB33) <=> (v112(constB33) | v115(constB33)))) | (~(v112(constB33) | v115(constB33)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33996, 34153])).
% 218.98/141.55 tff(34155,plain,
% 218.98/141.55 (~(v112(constB33) | v115(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34154, 31556])).
% 218.98/141.55 tff(34156,plain,
% 218.98/141.55 (~v112(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33999, 34155])).
% 218.98/141.55 tff(34157,plain,
% 218.98/141.55 ((~(v112(constB33) <=> (v113(constB33) | v114(constB33)))) | (~(v113(constB33) | v114(constB33)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34001, 34156])).
% 218.98/141.55 tff(34158,plain,
% 218.98/141.55 (~(v113(constB33) | v114(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34157, 31558])).
% 218.98/141.55 tff(34159,plain,
% 218.98/141.55 ((v113(constB33) | v114(constB33)) | (~v114(constB33))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34160,plain,
% 218.98/141.55 (~v114(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34159, 34158])).
% 218.98/141.55 tff(34161,plain,
% 218.98/141.55 ((~(v114(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0)))))) | v114(constB33) | (v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0)))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34162,plain,
% 218.98/141.55 (v114(constB33) | (v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34161, 31564])).
% 218.98/141.55 tff(34163,plain,
% 218.98/141.55 (v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34162, 34160])).
% 218.98/141.55 tff(34164,plain,
% 218.98/141.55 ((v112(constB33) | v115(constB33)) | (~v115(constB33))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34165,plain,
% 218.98/141.55 (v112(constB33) | v115(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34164, 33638])).
% 218.98/141.55 tff(34166,plain,
% 218.98/141.55 ((~(v111(constB33) <=> (v112(constB33) | v115(constB33)))) | v111(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33996, 34165])).
% 218.98/141.55 tff(34167,plain,
% 218.98/141.55 (v111(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34166, 31556])).
% 218.98/141.55 tff(34168,assumption,(~v110(constB33)), introduced(assumption)).
% 218.98/141.55 tff(34169,plain,
% 218.98/141.55 ((~(v110(constB33) <=> (v111(constB33) | v116(constB33)))) | (~(v111(constB33) | v116(constB33)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33991, 34168])).
% 218.98/141.55 tff(34170,plain,
% 218.98/141.55 (~(v111(constB33) | v116(constB33))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34169, 31554])).
% 218.98/141.55 tff(34171,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33994, 34170, 34167])).
% 218.98/141.55 tff(34172,plain,(v110(constB33) | (~v115(constB33))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34173,plain,
% 218.98/141.55 (~v115(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34172, 34150])).
% 218.98/141.55 tff(34174,plain,
% 218.98/141.55 ((~(v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))))) | v115(constB33) | (v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34175,plain,
% 218.98/141.55 ((~(v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))))) | (v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34174, 34173])).
% 218.98/141.55 tff(34176,plain,
% 218.98/141.55 (v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34175, 31586])).
% 218.98/141.55 tff(34177,plain,
% 218.98/141.55 ((v108(constB33) | v119(constB33)) | (~v119(constB33))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34178,plain,
% 218.98/141.55 (~v119(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34177, 34140])).
% 218.98/141.55 tff(34179,plain,
% 218.98/141.55 ((~(v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))))) | v119(constB33) | (v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34180,plain,
% 218.98/141.55 ((~(v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))))) | (v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34179, 34178])).
% 218.98/141.55 tff(34181,plain,
% 218.98/141.55 (v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34180, 29577])).
% 218.98/141.55 tff(34182,plain,
% 218.98/141.55 (~v117(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33867, 34149])).
% 218.98/141.55 tff(34183,plain,
% 218.98/141.55 (v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33957, 34182])).
% 218.98/141.55 tff(34184,plain,
% 218.98/141.55 (~v113(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34003, 34158])).
% 218.98/141.55 tff(34185,plain,
% 218.98/141.55 ((~(v113(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))))) | (v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33972, 34184])).
% 218.98/141.55 tff(34186,plain,
% 218.98/141.55 (v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34185, 31569])).
% 218.98/141.55 tff(34187,assumption,(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))), introduced(assumption)).
% 218.98/141.55 tff(34188,plain,
% 218.98/141.55 (v84(constB33, 1)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[33970, 33963, 33962, 33965])).
% 218.98/141.55 tff(34189,assumption,(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))), introduced(assumption)).
% 218.98/141.55 tff(34190,plain,
% 218.98/141.55 ((~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))) | v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34191,plain,
% 218.98/141.55 (v84(constB33, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34190, 34188, 33963, 34189])).
% 218.98/141.55 tff(34192,plain,
% 218.98/141.55 ((~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))) | v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34193,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34192, 34191, 34188, 33963, 34187])).
% 218.98/141.55 tff(34194,plain,(v84(constB33, 0) | (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))) | (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))) | (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))) | (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34195,plain,
% 218.98/141.55 (v84(constB33, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34194, 34186, 34183, 34181, 34176])).
% 218.98/141.55 tff(34196,assumption,(v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))), introduced(assumption)).
% 218.98/141.55 tff(34197,assumption,(v84(constB33, 0)), introduced(assumption)).
% 218.98/141.55 tff(34198,assumption,(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))), introduced(assumption)).
% 218.98/141.55 tff(34199,plain,
% 218.98/141.55 ((~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0)))) | v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34200,plain,
% 218.98/141.55 (v84(constB33, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34199, 33964, 34197, 34198])).
% 218.98/141.55 tff(34201,plain,
% 218.98/141.55 ((~(v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2)))) | v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34202,plain,
% 218.98/141.55 ($false),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34201, 34200, 33964, 34197, 34196])).
% 218.98/141.55 tff(34203,plain,(v84(constB33, 1) | (~v84(constB33, 0)) | (~(v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2)))) | (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.55 tff(34204,plain,
% 218.98/141.55 (v84(constB33, 1)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34203, 34195, 34163, 34147])).
% 218.98/141.55 tff(34205,plain,
% 218.98/141.55 ((~(v84(constB34, 1) <=> v84(constB33, 1))) | v84(constB34, 1)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31818, 34204])).
% 218.98/141.55 tff(34206,plain,
% 218.98/141.55 (v84(constB34, 1)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34205, 34139])).
% 218.98/141.55 tff(34207,plain,
% 218.98/141.55 ((~(v84(constB35, 1) <=> v84(constB34, 1))) | v84(constB35, 1)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32046, 34206])).
% 218.98/141.55 tff(34208,plain,
% 218.98/141.55 (v84(constB35, 1)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34207, 32045])).
% 218.98/141.55 tff(34209,plain,
% 218.98/141.55 (~(v84(constB36, 1) <=> v84(constB35, 1))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[32133, 34208, 33066])).
% 218.98/141.55 tff(34210,plain,
% 218.98/141.55 (v84(constB34, 0) <=> v84(constB33, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31787, 34138])).
% 218.98/141.55 tff(34211,plain,
% 218.98/141.55 ((~(v84(constB34, 0) <=> v84(constB33, 0))) | v84(constB34, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31789, 34195])).
% 218.98/141.55 tff(34212,plain,
% 218.98/141.55 (v84(constB34, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34211, 34210])).
% 218.98/141.55 tff(34213,plain,
% 218.98/141.55 ((~(v84(constB35, 0) <=> v84(constB34, 0))) | v84(constB35, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31961, 34212])).
% 218.98/141.55 tff(34214,plain,
% 218.98/141.55 (v84(constB35, 0)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34213, 31960])).
% 218.98/141.55 tff(34215,plain,
% 218.98/141.55 (v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31964, 34214])).
% 218.98/141.55 tff(34216,plain,
% 218.98/141.55 ((~(v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 2)) | (~v84(constB35, 1)))))) | (~v119(constB35))),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31966, 34215])).
% 218.98/141.55 tff(34217,plain,
% 218.98/141.55 (~v119(constB35)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34216, 31951])).
% 218.98/141.55 tff(34218,plain,
% 218.98/141.55 (v84(constB34, 2) <=> v84(constB33, 2)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[31723, 34138])).
% 218.98/141.55 tff(34219,plain,
% 218.98/141.55 ((v111(constB33) | v116(constB33)) | (~v116(constB33))),
% 218.98/141.55 inference(tautology,[status(thm)],[])).
% 218.98/141.55 tff(34220,plain,
% 218.98/141.55 (~v116(constB33)),
% 218.98/141.55 inference(unit_resolution,[status(thm)],[34219, 34152])).
% 218.98/141.55 tff(34221,plain,
% 218.98/141.55 ((~(v116(constB33) <=> (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1)))))) | v116(constB33) | (v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1)))),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34222,plain,
% 218.98/141.56 (v116(constB33) | (v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34221, 31631])).
% 218.98/141.56 tff(34223,plain,
% 218.98/141.56 (v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34222, 34220])).
% 218.98/141.56 tff(34224,plain,
% 218.98/141.56 ((~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1)))) | v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34225,plain,
% 218.98/141.56 (v84(constB33, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34224, 34204, 34195, 34223])).
% 218.98/141.56 tff(34226,plain,
% 218.98/141.56 ((~(v84(constB34, 2) <=> v84(constB33, 2))) | v84(constB34, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31725, 34225])).
% 218.98/141.56 tff(34227,plain,
% 218.98/141.56 (v84(constB34, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34226, 34218])).
% 218.98/141.56 tff(34228,plain,
% 218.98/141.56 (v84(constB35, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31774, 34227])).
% 218.98/141.56 tff(34229,plain,
% 218.98/141.56 (v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31776, 34228])).
% 218.98/141.56 tff(34230,plain,
% 218.98/141.56 ((~(v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))))) | (~v114(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31981, 34229])).
% 218.98/141.56 tff(34231,plain,
% 218.98/141.56 (~v114(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34230, 31980])).
% 218.98/141.56 tff(34232,plain,
% 218.98/141.56 (v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31986, 34228])).
% 218.98/141.56 tff(34233,plain,
% 218.98/141.56 ((~(v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))))) | (~v113(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31988, 34232])).
% 218.98/141.56 tff(34234,plain,
% 218.98/141.56 (~v113(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34233, 31985])).
% 218.98/141.56 tff(34235,plain,
% 218.98/141.56 (~(v113(constB35) | v114(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31991, 34234, 34231])).
% 218.98/141.56 tff(34236,plain,
% 218.98/141.56 ((~(v112(constB35) <=> (v113(constB35) | v114(constB35)))) | (~v112(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31993, 34235])).
% 218.98/141.56 tff(34237,plain,
% 218.98/141.56 (~v112(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34236, 31978])).
% 218.98/141.56 tff(34238,plain,
% 218.98/141.56 (v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32003, 34228])).
% 218.98/141.56 tff(34239,plain,
% 218.98/141.56 ((~(v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))) | (~v115(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32005, 34238])).
% 218.98/141.56 tff(34240,plain,
% 218.98/141.56 (~v115(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34239, 32002])).
% 218.98/141.56 tff(34241,plain,
% 218.98/141.56 ((~(v112(constB35) | v115(constB35))) | v112(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32008, 34240])).
% 218.98/141.56 tff(34242,plain,
% 218.98/141.56 (~(v112(constB35) | v115(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34241, 34237])).
% 218.98/141.56 tff(34243,plain,
% 218.98/141.56 (~v111(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32011, 34242, 31976])).
% 218.98/141.56 tff(34244,plain,
% 218.98/141.56 (v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32020, 34228])).
% 218.98/141.56 tff(34245,plain,
% 218.98/141.56 ((~(v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))))) | (~v116(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32022, 34244])).
% 218.98/141.56 tff(34246,plain,
% 218.98/141.56 (~v116(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34245, 32019])).
% 218.98/141.56 tff(34247,plain,
% 218.98/141.56 ((~(v111(constB35) | v116(constB35))) | v111(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32025, 34246])).
% 218.98/141.56 tff(34248,plain,
% 218.98/141.56 (~(v111(constB35) | v116(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34247, 34243])).
% 218.98/141.56 tff(34249,plain,
% 218.98/141.56 (~v110(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32028, 34248, 31974])).
% 218.98/141.56 tff(34250,plain,
% 218.98/141.56 (v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32279, 34214])).
% 218.98/141.56 tff(34251,plain,
% 218.98/141.56 ((~(v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))) | (~v117(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32051, 34250])).
% 218.98/141.56 tff(34252,plain,
% 218.98/141.56 (~v117(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34251, 32036])).
% 218.98/141.56 tff(34253,plain,
% 218.98/141.56 ((~(v110(constB35) | v117(constB35))) | v110(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32054, 34252])).
% 218.98/141.56 tff(34254,plain,
% 218.98/141.56 (~(v110(constB35) | v117(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34253, 34249])).
% 218.98/141.56 tff(34255,plain,
% 218.98/141.56 (~v109(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32057, 34254, 31972])).
% 218.98/141.56 tff(34256,plain,
% 218.98/141.56 (v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32061, 34208])).
% 218.98/141.56 tff(34257,plain,
% 218.98/141.56 ((~(v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))))) | (~v118(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32063, 34256])).
% 218.98/141.56 tff(34258,plain,
% 218.98/141.56 (~v118(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34257, 32060])).
% 218.98/141.56 tff(34259,plain,
% 218.98/141.56 ((~(v109(constB35) | v118(constB35))) | v109(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32066, 34258])).
% 218.98/141.56 tff(34260,plain,
% 218.98/141.56 (~(v109(constB35) | v118(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34259, 34255])).
% 218.98/141.56 tff(34261,plain,
% 218.98/141.56 (~v108(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32069, 34260, 31970])).
% 218.98/141.56 tff(34262,plain,
% 218.98/141.56 (~(v108(constB35) | v119(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32071, 34261, 34217])).
% 218.98/141.56 tff(34263,plain,
% 218.98/141.56 (~v107(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32073, 34262, 31944])).
% 218.98/141.56 tff(34264,plain,
% 218.98/141.56 ((~v107(constB35)) | (~v120(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32075, 34263])).
% 218.98/141.56 tff(34265,plain,
% 218.98/141.56 (~v106(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32080, 34264])).
% 218.98/141.56 tff(34266,plain,
% 218.98/141.56 (~(v105(constB35) | v106(constB35))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32090, 34265])).
% 218.98/141.56 tff(34267,plain,
% 218.98/141.56 (~v102(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32095, 34266])).
% 218.98/141.56 tff(34268,plain,
% 218.98/141.56 (~v104(constB36)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32105, 34267])).
% 218.98/141.56 tff(34269,plain,
% 218.98/141.56 ((~v95(constB36)) | (~v104(constB36))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32107, 34268])).
% 218.98/141.56 tff(34270,plain,
% 218.98/141.56 (~v94(constB36)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32114, 34269])).
% 218.98/141.56 tff(34271,plain,
% 218.98/141.56 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v84(constB35, B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32122, 34270])).
% 218.98/141.56 tff(34272,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[32131, 34271, 34209])).
% 218.98/141.56 tff(34273,plain,(v107(constB33) | v84(constB36, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34274,plain,
% 218.98/141.56 (v107(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34273, 33065])).
% 218.98/141.56 tff(34275,plain,
% 218.98/141.56 (~((~v107(constB33)) | (~v120(constB33)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33888, 34274])).
% 218.98/141.56 tff(34276,plain,
% 218.98/141.56 (v106(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33891, 34275])).
% 218.98/141.56 tff(34277,plain,
% 218.98/141.56 (v105(constB33) | v106(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33893, 34276])).
% 218.98/141.56 tff(34278,plain,
% 218.98/141.56 (v102(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33896, 34277])).
% 218.98/141.56 tff(34279,plain,
% 218.98/141.56 (v104(constB34)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33899, 34278])).
% 218.98/141.56 tff(34280,plain,
% 218.98/141.56 (~((~v95(constB34)) | (~v104(constB34)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33930, 34279])).
% 218.98/141.56 tff(34281,plain,
% 218.98/141.56 (v94(constB34)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33933, 34280])).
% 218.98/141.56 tff(34282,plain,
% 218.98/141.56 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33861, 34281])).
% 218.98/141.56 tff(34283,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33758, 34282, 34129])).
% 218.98/141.56 tff(34284,plain,((v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))) | (~v123(constB34, 0)) | v115(constB35)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34285,plain,
% 218.98/141.56 (v115(constB35)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34284, 28871, 33316])).
% 218.98/141.56 tff(34286,plain,
% 218.98/141.56 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34056, 34285])).
% 218.98/141.56 tff(34287,assumption,(~v124(constB35, 1)), introduced(assumption)).
% 218.98/141.56 tff(34288,plain,
% 218.98/141.56 ((~(v124(constB35, 1) <=> b011(1))) | v124(constB35, 1) | (~b011(1))),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34289,plain,
% 218.98/141.56 (~(v124(constB35, 1) <=> b011(1))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34288, 2593, 34287])).
% 218.98/141.56 tff(34290,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))), introduced(assumption)).
% 218.98/141.56 tff(34291,plain,
% 218.98/141.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | (v124(constB35, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | (v124(constB35, 1) <=> b011(1)))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34292,plain,
% 218.98/141.56 (($false | $false | (v124(constB35, 1) <=> b011(1))) <=> (v124(constB35, 1) <=> b011(1))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34293,plain,
% 218.98/141.56 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b011(1))) <=> ($false | $false | (v124(constB35, 1) <=> b011(1)))),
% 218.98/141.56 inference(monotonicity,[status(thm)],[402, 401])).
% 218.98/141.56 tff(34294,plain,
% 218.98/141.56 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b011(1))) <=> (v124(constB35, 1) <=> b011(1))),
% 218.98/141.56 inference(transitivity,[status(thm)],[34293, 34292])).
% 218.98/141.56 tff(34295,plain,
% 218.98/141.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | (v124(constB35, 1) <=> b011(1)))),
% 218.98/141.56 inference(monotonicity,[status(thm)],[34294])).
% 218.98/141.56 tff(34296,plain,
% 218.98/141.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | (v124(constB35, 1) <=> b011(1)))),
% 218.98/141.56 inference(transitivity,[status(thm)],[34295, 34291])).
% 218.98/141.56 tff(34297,plain,
% 218.98/141.56 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b011(1)))),
% 218.98/141.56 inference(quant_inst,[status(thm)],[])).
% 218.98/141.56 tff(34298,plain,
% 218.98/141.56 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | (v124(constB35, 1) <=> b011(1))),
% 218.98/141.56 inference(modus_ponens,[status(thm)],[34297, 34296])).
% 218.98/141.56 tff(34299,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34298, 34290, 34289])).
% 218.98/141.56 tff(34300,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))) | v124(constB35, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34301,plain,
% 218.98/141.56 (v124(constB35, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34300, 34286])).
% 218.98/141.56 tff(34302,plain,
% 218.98/141.56 (v121(constB35, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33267, 34301])).
% 218.98/141.56 tff(34303,plain,
% 218.98/141.56 (v123(constB36, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33246, 34302])).
% 218.98/141.56 tff(34304,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33225, 34303, 33315, 33065])).
% 218.98/141.56 tff(34305,plain,((v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))) | (~v123(constB34, 0))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34306,plain,
% 218.98/141.56 (~v123(constB34, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34305, 28871])).
% 218.98/141.56 tff(34307,assumption,(~(v123(constB34, 0) <=> v121(constB33, 0))), introduced(assumption)).
% 218.98/141.56 tff(34308,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33749, 33591, 34307])).
% 218.98/141.56 tff(34309,plain,(v123(constB34, 0) <=> v121(constB33, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34310,plain,
% 218.98/141.56 (v123(constB34, 0) | (~v121(constB33, 0))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33765, 34309])).
% 218.98/141.56 tff(34311,plain,
% 218.98/141.56 (~v121(constB33, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34310, 34306])).
% 218.98/141.56 tff(34312,assumption,(~(v121(constB33, 0) <=> v124(constB33, 0))), introduced(assumption)).
% 218.98/141.56 tff(34313,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33740, 33575, 34312])).
% 218.98/141.56 tff(34314,plain,(v121(constB33, 0) <=> v124(constB33, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34315,plain,
% 218.98/141.56 (v121(constB33, 0) | (~v124(constB33, 0))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33768, 34314])).
% 218.98/141.56 tff(34316,plain,
% 218.98/141.56 (~v124(constB33, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34315, 34311])).
% 218.98/141.56 tff(34317,plain,
% 218.98/141.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33809, 34316])).
% 218.98/141.56 tff(34318,plain,
% 218.98/141.56 ((~(v124(constB33, 0) <=> b011(0))) | v124(constB33, 0) | (~b011(0))),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34319,plain,
% 218.98/141.56 (~(v124(constB33, 0) <=> b011(0))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34318, 2025, 33771])).
% 218.98/141.56 tff(34320,plain,
% 218.98/141.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 0) <=> b011(0)))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34321,plain,
% 218.98/141.56 (($false | $false | (v124(constB33, 0) <=> b011(0))) <=> (v124(constB33, 0) <=> b011(0))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34322,plain,
% 218.98/141.56 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b011(0))) <=> ($false | $false | (v124(constB33, 0) <=> b011(0)))),
% 218.98/141.56 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.56 tff(34323,plain,
% 218.98/141.56 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b011(0))) <=> (v124(constB33, 0) <=> b011(0))),
% 218.98/141.56 inference(transitivity,[status(thm)],[34322, 34321])).
% 218.98/141.56 tff(34324,plain,
% 218.98/141.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 0) <=> b011(0)))),
% 218.98/141.56 inference(monotonicity,[status(thm)],[34323])).
% 218.98/141.56 tff(34325,plain,
% 218.98/141.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 0) <=> b011(0)))),
% 218.98/141.56 inference(transitivity,[status(thm)],[34324, 34320])).
% 218.98/141.56 tff(34326,plain,
% 218.98/141.56 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB33, 0) <=> b011(0)))),
% 218.98/141.56 inference(quant_inst,[status(thm)],[])).
% 218.98/141.56 tff(34327,plain,
% 218.98/141.56 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 0) <=> b011(0))),
% 218.98/141.56 inference(modus_ponens,[status(thm)],[34326, 34325])).
% 218.98/141.56 tff(34328,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34327, 33626, 34319])).
% 218.98/141.56 tff(34329,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | v124(constB33, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34330,plain,
% 218.98/141.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34329, 34316])).
% 218.98/141.56 tff(34331,plain,
% 218.98/141.56 (~v115(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33647, 34330])).
% 218.98/141.56 tff(34332,plain,
% 218.98/141.56 (v84(constB32, 2) <=> v84(constB31, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31613, 31438])).
% 218.98/141.56 tff(34333,plain,
% 218.98/141.56 ((v111(constB31) | v116(constB31)) | (~v116(constB31))),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34334,plain,
% 218.98/141.56 (~v116(constB31)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34333, 31356])).
% 218.98/141.56 tff(34335,plain,
% 218.98/141.56 ((~(v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))))) | v116(constB31) | ((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34336,plain,
% 218.98/141.56 ((~(v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))))) | ((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34335, 34334])).
% 218.98/141.56 tff(34337,plain,
% 218.98/141.56 ((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34336, 31205])).
% 218.98/141.56 tff(34338,plain,
% 218.98/141.56 ((~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))) | (~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34339,plain,
% 218.98/141.56 (v84(constB31, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34338, 31419, 31409, 34337])).
% 218.98/141.56 tff(34340,plain,
% 218.98/141.56 ((~(v84(constB32, 2) <=> v84(constB31, 2))) | v84(constB32, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31615, 34339])).
% 218.98/141.56 tff(34341,plain,
% 218.98/141.56 (v84(constB32, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34340, 34332])).
% 218.98/141.56 tff(34342,plain,
% 218.98/141.56 ((~(v84(constB33, 2) <=> v84(constB32, 2))) | v84(constB33, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31618, 34341])).
% 218.98/141.56 tff(34343,plain,
% 218.98/141.56 (v84(constB33, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34342, 31605])).
% 218.98/141.56 tff(34344,plain,
% 218.98/141.56 (v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31621, 34343])).
% 218.98/141.56 tff(34345,plain,
% 218.98/141.56 (~v116(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31632, 34344, 31631])).
% 218.98/141.56 tff(34346,plain,
% 218.98/141.56 (v84(constB32, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31448, 31314])).
% 218.98/141.56 tff(34347,plain,
% 218.98/141.56 (v84(constB33, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31495, 34346, 31494])).
% 218.98/141.56 tff(34348,plain,
% 218.98/141.56 (v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31539, 34347])).
% 218.98/141.56 tff(34349,plain,
% 218.98/141.56 (~v117(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31550, 34348, 31549])).
% 218.98/141.56 tff(34350,assumption,(~v115(constB33)), introduced(assumption)).
% 218.98/141.56 tff(34351,plain,
% 218.98/141.56 (v84(constB32, 1) <=> v84(constB31, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31522, 31438])).
% 218.98/141.56 tff(34352,plain,
% 218.98/141.56 ((~(v84(constB32, 1) <=> v84(constB31, 1))) | v84(constB32, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31524, 31409])).
% 218.98/141.56 tff(34353,plain,
% 218.98/141.56 (v84(constB32, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34352, 34351])).
% 218.98/141.56 tff(34354,plain,
% 218.98/141.56 ((~(v84(constB33, 1) <=> v84(constB32, 1))) | v84(constB33, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31527, 34353])).
% 218.98/141.56 tff(34355,plain,
% 218.98/141.56 (v84(constB33, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34354, 31511])).
% 218.98/141.56 tff(34356,plain,
% 218.98/141.56 (v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31530, 34355])).
% 218.98/141.56 tff(34357,plain,
% 218.98/141.56 (~v118(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31536, 34356, 31535])).
% 218.98/141.56 tff(34358,plain,
% 218.98/141.56 (v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31559, 34355])).
% 218.98/141.56 tff(34359,plain,
% 218.98/141.56 (~v114(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31566, 34358])).
% 218.98/141.56 tff(34360,assumption,(~v118(constB33)), introduced(assumption)).
% 218.98/141.56 tff(34361,assumption,(~v116(constB33)), introduced(assumption)).
% 218.98/141.56 tff(34362,assumption,(~v114(constB33)), introduced(assumption)).
% 218.98/141.56 tff(34363,assumption,(~v117(constB33)), introduced(assumption)).
% 218.98/141.56 tff(34364,plain,
% 218.98/141.56 (~v113(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33820, 33812])).
% 218.98/141.56 tff(34365,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33831, 1807, 33812, 34364, 34363, 34362, 34350, 34361, 34360])).
% 218.98/141.56 tff(34366,plain,(v118(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))) | v117(constB33) | v114(constB33) | v115(constB33) | v116(constB33)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34367,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34366, 34359, 34357, 34350, 34349, 34345, 33812])).
% 218.98/141.56 tff(34368,plain,(v104(constB32) | v115(constB33) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34369,plain,
% 218.98/141.56 (v104(constB32)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34368, 34331, 34317])).
% 218.98/141.56 tff(34370,plain,
% 218.98/141.56 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34371,plain,
% 218.98/141.56 (((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32)))))) <=> ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34372,plain,
% 218.98/141.56 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32)))))))),
% 218.98/141.56 inference(monotonicity,[status(thm)],[34371])).
% 218.98/141.56 tff(34373,plain,
% 218.98/141.56 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))),
% 218.98/141.56 inference(transitivity,[status(thm)],[34372, 34370])).
% 218.98/141.56 tff(34374,plain,
% 218.98/141.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32))))))),
% 218.98/141.56 inference(quant_inst,[status(thm)],[])).
% 218.98/141.56 tff(34375,plain,
% 218.98/141.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32)))))),
% 218.98/141.56 inference(modus_ponens,[status(thm)],[34374, 34373])).
% 218.98/141.56 tff(34376,plain,
% 218.98/141.56 (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34375, 31305, 37])).
% 218.98/141.56 tff(34377,plain,
% 218.98/141.56 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32)))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34378,plain,
% 218.98/141.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32)))),
% 218.98/141.56 inference(quant_inst,[status(thm)],[])).
% 218.98/141.56 tff(34379,plain,
% 218.98/141.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32))),
% 218.98/141.56 inference(modus_ponens,[status(thm)],[34378, 34377])).
% 218.98/141.56 tff(34380,plain,
% 218.98/141.56 ((~v96(constB32)) <=> v98(constB32)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34379, 31305, 54])).
% 218.98/141.56 tff(34381,plain,
% 218.98/141.56 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31)))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34382,plain,
% 218.98/141.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31)))),
% 218.98/141.56 inference(quant_inst,[status(thm)],[])).
% 218.98/141.56 tff(34383,plain,
% 218.98/141.56 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31))),
% 218.98/141.56 inference(modus_ponens,[status(thm)],[34382, 34381])).
% 218.98/141.56 tff(34384,plain,
% 218.98/141.56 (v98(constB32) <=> v1(constB31)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34383, 31305, 68])).
% 218.98/141.56 tff(34385,plain,
% 218.98/141.56 ((~(v98(constB32) <=> v1(constB31))) | (~v98(constB32)) | v1(constB31)),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34386,plain,
% 218.98/141.56 ((~(v98(constB32) <=> v1(constB31))) | (~v98(constB32))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34385, 29608])).
% 218.98/141.56 tff(34387,plain,
% 218.98/141.56 (~v98(constB32)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34386, 34384])).
% 218.98/141.56 tff(34388,plain,
% 218.98/141.56 ((~((~v96(constB32)) <=> v98(constB32))) | v96(constB32) | v98(constB32)),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34389,plain,
% 218.98/141.56 (v96(constB32)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34388, 34387, 34380])).
% 218.98/141.56 tff(34390,plain,
% 218.98/141.56 (v1(constB32) <=> v1(constB32)),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34391,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32')).
% 218.98/141.56 tff(34392,plain,
% 218.98/141.56 (v1(constB32)),
% 218.98/141.56 inference(modus_ponens,[status(thm)],[34391, 34390])).
% 218.98/141.56 tff(34393,plain,
% 218.98/141.56 ((~((~v1(constB32)) | (~v96(constB32)))) | (~v1(constB32)) | (~v96(constB32))),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34394,plain,
% 218.98/141.56 ((~((~v1(constB32)) | (~v96(constB32)))) | (~v96(constB32))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34393, 34392])).
% 218.98/141.56 tff(34395,plain,
% 218.98/141.56 (~((~v1(constB32)) | (~v96(constB32)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34394, 34389])).
% 218.98/141.56 tff(34396,plain,
% 218.98/141.56 ((~(v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32)))))) | v95(constB32) | ((~v1(constB32)) | (~v96(constB32)))),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34397,plain,
% 218.98/141.56 (v95(constB32)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34396, 34395, 34376])).
% 218.98/141.56 tff(34398,plain,
% 218.98/141.56 ((~((~v95(constB32)) | (~v104(constB32)))) | (~v95(constB32)) | (~v104(constB32))),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34399,plain,
% 218.98/141.56 ((~((~v95(constB32)) | (~v104(constB32)))) | (~v104(constB32))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34398, 34397])).
% 218.98/141.56 tff(34400,plain,
% 218.98/141.56 (~((~v95(constB32)) | (~v104(constB32)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34399, 34369])).
% 218.98/141.56 tff(34401,plain,
% 218.98/141.56 ((~(v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32)))))) | v94(constB32) | ((~v95(constB32)) | (~v104(constB32)))),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34402,plain,
% 218.98/141.56 (v94(constB32) | ((~v95(constB32)) | (~v104(constB32)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34401, 31427])).
% 218.98/141.56 tff(34403,plain,
% 218.98/141.56 (v94(constB32)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34402, 34400])).
% 218.98/141.56 tff(34404,plain,
% 218.98/141.56 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B))))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34405,plain,
% 218.98/141.56 (((~v94(constB32)) | ![B: $int] : ((v84(constB32, B) <=> v123(constB32, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B))))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34406,plain,
% 218.98/141.56 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB32)) | ![B: $int] : ((v84(constB32, B) <=> v123(constB32, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))))),
% 218.98/141.56 inference(monotonicity,[status(thm)],[34405])).
% 218.98/141.56 tff(34407,plain,
% 218.98/141.56 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB32)) | ![B: $int] : ((v84(constB32, B) <=> v123(constB32, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B))))),
% 218.98/141.56 inference(transitivity,[status(thm)],[34406, 34404])).
% 218.98/141.56 tff(34408,plain,
% 218.98/141.56 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB32)) | ![B: $int] : ((v84(constB32, B) <=> v123(constB32, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.56 inference(quant_inst,[status(thm)],[])).
% 218.98/141.56 tff(34409,plain,
% 218.98/141.56 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))),
% 218.98/141.56 inference(modus_ponens,[status(thm)],[34408, 34407])).
% 218.98/141.56 tff(34410,plain,
% 218.98/141.56 ((~v94(constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34409, 1491])).
% 218.98/141.56 tff(34411,plain,
% 218.98/141.56 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34410, 34403])).
% 218.98/141.56 tff(34412,assumption,(~(v84(constB32, 0) <=> v123(constB32, 0))), introduced(assumption)).
% 218.98/141.56 tff(34413,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))), introduced(assumption)).
% 218.98/141.56 tff(34414,plain,
% 218.98/141.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 0) <=> v123(constB32, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 0) <=> v123(constB32, 0)))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34415,plain,
% 218.98/141.56 (($false | $false | (v84(constB32, 0) <=> v123(constB32, 0))) <=> (v84(constB32, 0) <=> v123(constB32, 0))),
% 218.98/141.56 inference(rewrite,[status(thm)],[])).
% 218.98/141.56 tff(34416,plain,
% 218.98/141.56 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB32, 0) <=> v123(constB32, 0))) <=> ($false | $false | (v84(constB32, 0) <=> v123(constB32, 0)))),
% 218.98/141.56 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.56 tff(34417,plain,
% 218.98/141.56 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB32, 0) <=> v123(constB32, 0))) <=> (v84(constB32, 0) <=> v123(constB32, 0))),
% 218.98/141.56 inference(transitivity,[status(thm)],[34416, 34415])).
% 218.98/141.56 tff(34418,plain,
% 218.98/141.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB32, 0) <=> v123(constB32, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 0) <=> v123(constB32, 0)))),
% 218.98/141.56 inference(monotonicity,[status(thm)],[34417])).
% 218.98/141.56 tff(34419,plain,
% 218.98/141.56 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB32, 0) <=> v123(constB32, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 0) <=> v123(constB32, 0)))),
% 218.98/141.56 inference(transitivity,[status(thm)],[34418, 34414])).
% 218.98/141.56 tff(34420,plain,
% 218.98/141.56 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB32, 0) <=> v123(constB32, 0)))),
% 218.98/141.56 inference(quant_inst,[status(thm)],[])).
% 218.98/141.56 tff(34421,plain,
% 218.98/141.56 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 0) <=> v123(constB32, 0))),
% 218.98/141.56 inference(modus_ponens,[status(thm)],[34420, 34419])).
% 218.98/141.56 tff(34422,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34421, 34413, 34412])).
% 218.98/141.56 tff(34423,plain,((v84(constB32, 0) <=> v123(constB32, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34424,plain,
% 218.98/141.56 (v84(constB32, 0) <=> v123(constB32, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34423, 34411])).
% 218.98/141.56 tff(34425,plain,
% 218.98/141.56 (v84(constB34, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33561, 34101])).
% 218.98/141.56 tff(34426,plain,
% 218.98/141.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33661, 33623])).
% 218.98/141.56 tff(34427,plain,
% 218.98/141.56 (~v114(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33672, 34426])).
% 218.98/141.56 tff(34428,plain,
% 218.98/141.56 (v107(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34273, 33066])).
% 218.98/141.56 tff(34429,plain,
% 218.98/141.56 (~((~v107(constB33)) | (~v120(constB33)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33888, 34428])).
% 218.98/141.56 tff(34430,plain,
% 218.98/141.56 (v106(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33891, 34429])).
% 218.98/141.56 tff(34431,plain,
% 218.98/141.56 (v105(constB33) | v106(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33893, 34430])).
% 218.98/141.56 tff(34432,plain,
% 218.98/141.56 (v102(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33896, 34431])).
% 218.98/141.56 tff(34433,plain,
% 218.98/141.56 (v104(constB34)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33899, 34432])).
% 218.98/141.56 tff(34434,plain,
% 218.98/141.56 (~((~v95(constB34)) | (~v104(constB34)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33930, 34433])).
% 218.98/141.56 tff(34435,plain,
% 218.98/141.56 (v94(constB34)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33933, 34434])).
% 218.98/141.56 tff(34436,plain,
% 218.98/141.56 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33861, 34435])).
% 218.98/141.56 tff(34437,assumption,(~(v121(constB33, 1) <=> v124(constB33, 1))), introduced(assumption)).
% 218.98/141.56 tff(34438,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33583, 33575, 34437])).
% 218.98/141.56 tff(34439,plain,(v121(constB33, 1) <=> v124(constB33, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34440,plain,
% 218.98/141.56 ((~(v121(constB33, 1) <=> v124(constB33, 1))) | (~v121(constB33, 1)) | v124(constB33, 1)),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34441,plain,
% 218.98/141.56 ((~v121(constB33, 1)) | v124(constB33, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34440, 34439])).
% 218.98/141.56 tff(34442,plain,
% 218.98/141.56 (~v121(constB33, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34441, 33623])).
% 218.98/141.56 tff(34443,assumption,(~(v123(constB34, 1) <=> v121(constB33, 1))), introduced(assumption)).
% 218.98/141.56 tff(34444,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33599, 33591, 34443])).
% 218.98/141.56 tff(34445,plain,(v123(constB34, 1) <=> v121(constB33, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34446,plain,
% 218.98/141.56 ((~(v123(constB34, 1) <=> v121(constB33, 1))) | (~v123(constB34, 1)) | v121(constB33, 1)),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34447,plain,
% 218.98/141.56 ((~v123(constB34, 1)) | v121(constB33, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34446, 34445])).
% 218.98/141.56 tff(34448,plain,
% 218.98/141.56 (~v123(constB34, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34447, 34442])).
% 218.98/141.56 tff(34449,assumption,(~v123(constB34, 1)), introduced(assumption)).
% 218.98/141.56 tff(34450,assumption,(v84(constB34, 1)), introduced(assumption)).
% 218.98/141.56 tff(34451,plain,
% 218.98/141.56 ((~(v84(constB34, 1) <=> v123(constB34, 1))) | (~v84(constB34, 1)) | v123(constB34, 1)),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34452,plain,
% 218.98/141.56 (~(v84(constB34, 1) <=> v123(constB34, 1))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34451, 34450, 34449])).
% 218.98/141.56 tff(34453,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33608, 33564, 34452])).
% 218.98/141.56 tff(34454,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (~v84(constB34, 1)) | v123(constB34, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34455,plain,
% 218.98/141.56 (~v84(constB34, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34454, 34448, 34436])).
% 218.98/141.56 tff(34456,plain,
% 218.98/141.56 (~v84(constB35, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33561, 34455])).
% 218.98/141.56 tff(34457,plain,
% 218.98/141.56 (~v84(constB35, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33434, 34456, 33066, 33407])).
% 218.98/141.56 tff(34458,assumption,(~(v84(constB34, 0) <=> v123(constB34, 0))), introduced(assumption)).
% 218.98/141.56 tff(34459,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33758, 33564, 34458])).
% 218.98/141.56 tff(34460,plain,((v84(constB34, 0) <=> v123(constB34, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34461,plain,
% 218.98/141.56 (v84(constB34, 0) <=> v123(constB34, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34460, 34436])).
% 218.98/141.56 tff(34462,plain,
% 218.98/141.56 (~(v124(constB33, 1) <=> b110(1))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33621, 1662, 33623])).
% 218.98/141.56 tff(34463,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))), introduced(assumption)).
% 218.98/141.56 tff(34464,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33849, 34463, 34462])).
% 218.98/141.56 tff(34465,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))) | v124(constB33, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34466,plain,
% 218.98/141.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34465, 33623])).
% 218.98/141.56 tff(34467,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))), introduced(assumption)).
% 218.98/141.56 tff(34468,assumption,(v118(constB33)), introduced(assumption)).
% 218.98/141.56 tff(34469,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33839, 1977, 34468, 34467])).
% 218.98/141.56 tff(34470,plain,((~v118(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34471,plain,
% 218.98/141.56 (~v118(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34470, 34466])).
% 218.98/141.56 tff(34472,plain,
% 218.98/141.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34329, 33771])).
% 218.98/141.56 tff(34473,plain,
% 218.98/141.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33784, 33771])).
% 218.98/141.56 tff(34474,plain,
% 218.98/141.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33809, 33771])).
% 218.98/141.56 tff(34475,plain,
% 218.98/141.56 (v117(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34366, 34474, 34361, 34360, 34350, 34362])).
% 218.98/141.56 tff(34476,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33795, 34475, 34473])).
% 218.98/141.56 tff(34477,plain,(v124(constB33, 0) | v116(constB33) | v118(constB33) | v115(constB33) | v114(constB33)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34478,plain,
% 218.98/141.56 (v115(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34477, 33771, 34361, 34360, 34362])).
% 218.98/141.56 tff(34479,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33647, 34478, 34472])).
% 218.98/141.56 tff(34480,plain,(v124(constB33, 0) | v116(constB33) | v118(constB33) | v114(constB33)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34481,plain,
% 218.98/141.56 (v124(constB33, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34480, 34471, 34361, 34362])).
% 218.98/141.56 tff(34482,plain,
% 218.98/141.56 (v121(constB33, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34315, 34481])).
% 218.98/141.56 tff(34483,plain,
% 218.98/141.56 (v123(constB34, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34310, 34482])).
% 218.98/141.56 tff(34484,plain,
% 218.98/141.56 (v84(constB34, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33762, 34483, 34461])).
% 218.98/141.56 tff(34485,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33439, 34484, 34457])).
% 218.98/141.56 tff(34486,plain,(v124(constB33, 1) | v84(constB36, 1) | v116(constB33) | v114(constB33)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34487,plain,
% 218.98/141.56 (v116(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34486, 33065, 33623, 34427])).
% 218.98/141.56 tff(34488,plain,
% 218.98/141.56 (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31633, 34487])).
% 218.98/141.56 tff(34489,plain,
% 218.98/141.56 ((v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))) | v84(constB33, 0)),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34490,plain,
% 218.98/141.56 (v84(constB33, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34489, 34488])).
% 218.98/141.56 tff(34491,plain,
% 218.98/141.56 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34454, 34448, 34450])).
% 218.98/141.56 tff(34492,plain,
% 218.98/141.56 (~v94(constB34)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33861, 34491])).
% 218.98/141.56 tff(34493,plain,
% 218.98/141.56 ((~v95(constB34)) | (~v104(constB34))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33933, 34492])).
% 218.98/141.56 tff(34494,plain,
% 218.98/141.56 (~v104(constB34)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33930, 34493])).
% 218.98/141.56 tff(34495,plain,
% 218.98/141.56 (~v102(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33899, 34494])).
% 218.98/141.56 tff(34496,plain,
% 218.98/141.56 (~(v105(constB33) | v106(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33896, 34495])).
% 218.98/141.56 tff(34497,plain,
% 218.98/141.56 (~v106(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33893, 34496])).
% 218.98/141.56 tff(34498,plain,
% 218.98/141.56 ((~v107(constB33)) | (~v120(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33891, 34497])).
% 218.98/141.56 tff(34499,plain,
% 218.98/141.56 (~v107(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33888, 34498])).
% 218.98/141.56 tff(34500,plain,
% 218.98/141.56 (~(v108(constB33) | v119(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33880, 34499])).
% 218.98/141.56 tff(34501,assumption,(~(v108(constB33) | v119(constB33))), introduced(assumption)).
% 218.98/141.56 tff(34502,plain,
% 218.98/141.56 (~v108(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33877, 34501])).
% 218.98/141.56 tff(34503,plain,
% 218.98/141.56 (~(v109(constB33) | v118(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33875, 34502])).
% 218.98/141.56 tff(34504,plain,
% 218.98/141.56 (~v109(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33872, 34503])).
% 218.98/141.56 tff(34505,plain,
% 218.98/141.56 (~(v110(constB33) | v117(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33870, 34504])).
% 218.98/141.56 tff(34506,plain,
% 218.98/141.56 (~v117(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33867, 34505])).
% 218.98/141.56 tff(34507,plain,
% 218.98/141.56 (~v110(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33989, 34505])).
% 218.98/141.56 tff(34508,plain,
% 218.98/141.56 (~v115(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34172, 34168])).
% 218.98/141.56 tff(34509,plain,
% 218.98/141.56 ((~(v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))))) | (v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34174, 34508])).
% 218.98/141.56 tff(34510,plain,
% 218.98/141.56 (v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34509, 31586])).
% 218.98/141.56 tff(34511,assumption,(~(v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))))), introduced(assumption)).
% 218.98/141.56 tff(34512,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[29576, 318, 34511])).
% 218.98/141.56 tff(34513,plain,(v119(constB33) <=> (~(v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34514,plain,
% 218.98/141.56 (~v119(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34177, 34501])).
% 218.98/141.56 tff(34515,plain,
% 218.98/141.56 (v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34179, 34514, 34513])).
% 218.98/141.56 tff(34516,plain,
% 218.98/141.56 (~v111(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33994, 34170])).
% 218.98/141.56 tff(34517,plain,
% 218.98/141.56 ((~(v111(constB33) <=> (v112(constB33) | v115(constB33)))) | (~(v112(constB33) | v115(constB33)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33996, 34516])).
% 218.98/141.56 tff(34518,plain,
% 218.98/141.56 (~(v112(constB33) | v115(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34517, 31556])).
% 218.98/141.56 tff(34519,plain,
% 218.98/141.56 (~v112(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33999, 34518])).
% 218.98/141.56 tff(34520,plain,
% 218.98/141.56 (~(v113(constB33) | v114(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34001, 34519, 33976])).
% 218.98/141.56 tff(34521,plain,
% 218.98/141.56 (~v113(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34003, 34520])).
% 218.98/141.56 tff(34522,plain,
% 218.98/141.56 ((~(v113(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))))) | (v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33972, 34521])).
% 218.98/141.56 tff(34523,plain,
% 218.98/141.56 (v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34522, 31569])).
% 218.98/141.56 tff(34524,plain,
% 218.98/141.56 (v84(constB33, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34194, 34523, 33965, 34515, 34510])).
% 218.98/141.56 tff(34525,plain,
% 218.98/141.56 (~(v84(constB34, 0) <=> v84(constB33, 0))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31789, 34524, 32203])).
% 218.98/141.56 tff(34526,plain,
% 218.98/141.56 (~v107(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31665, 34501])).
% 218.98/141.56 tff(34527,plain,
% 218.98/141.56 ((~v107(constB33)) | (~v120(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31667, 34526])).
% 218.98/141.56 tff(34528,plain,
% 218.98/141.56 (~v106(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31672, 34527])).
% 218.98/141.56 tff(34529,plain,
% 218.98/141.56 (~(v105(constB33) | v106(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31682, 34528])).
% 218.98/141.56 tff(34530,plain,
% 218.98/141.56 (~v102(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31687, 34529])).
% 218.98/141.56 tff(34531,plain,
% 218.98/141.56 (~v104(constB34)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31697, 34530])).
% 218.98/141.56 tff(34532,plain,
% 218.98/141.56 ((~v95(constB34)) | (~v104(constB34))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31699, 34531])).
% 218.98/141.56 tff(34533,plain,
% 218.98/141.56 (~v94(constB34)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31706, 34532])).
% 218.98/141.56 tff(34534,plain,
% 218.98/141.56 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31714, 34533])).
% 218.98/141.56 tff(34535,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31787, 34534, 34525])).
% 218.98/141.56 tff(34536,plain,((v108(constB33) | v119(constB33)) | v84(constB34, 0) | (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))) | v110(constB33)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34537,plain,
% 218.98/141.56 (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34536, 34507, 32203, 34501])).
% 218.98/141.56 tff(34538,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33957, 34537, 34506])).
% 218.98/141.56 tff(34539,plain,((v108(constB33) | v119(constB33)) | v84(constB34, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.56 tff(34540,plain,
% 218.98/141.56 (v84(constB34, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34539, 34500])).
% 218.98/141.56 tff(34541,plain,
% 218.98/141.56 (v84(constB35, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33439, 34540])).
% 218.98/141.56 tff(34542,assumption,(~v84(constB33, 2)), introduced(assumption)).
% 218.98/141.56 tff(34543,assumption,(~v94(constB34)), introduced(assumption)).
% 218.98/141.56 tff(34544,plain,
% 218.98/141.56 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31714, 34543])).
% 218.98/141.56 tff(34545,plain,
% 218.98/141.56 ((~v95(constB34)) | (~v104(constB34))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33933, 34543])).
% 218.98/141.56 tff(34546,plain,
% 218.98/141.56 (~v104(constB34)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33930, 34545])).
% 218.98/141.56 tff(34547,plain,
% 218.98/141.56 (~v102(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33899, 34546])).
% 218.98/141.56 tff(34548,plain,
% 218.98/141.56 (~(v105(constB33) | v106(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33896, 34547])).
% 218.98/141.56 tff(34549,plain,
% 218.98/141.56 (~v106(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33893, 34548])).
% 218.98/141.56 tff(34550,plain,
% 218.98/141.56 ((~v107(constB33)) | (~v120(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33891, 34549])).
% 218.98/141.56 tff(34551,plain,
% 218.98/141.56 (~v107(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33888, 34550])).
% 218.98/141.56 tff(34552,plain,
% 218.98/141.56 (~(v108(constB33) | v119(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33880, 34551])).
% 218.98/141.56 tff(34553,plain,
% 218.98/141.56 (~v108(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33877, 34552])).
% 218.98/141.56 tff(34554,plain,
% 218.98/141.56 (~(v109(constB33) | v118(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33875, 34553])).
% 218.98/141.56 tff(34555,plain,
% 218.98/141.56 (~v109(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33872, 34554])).
% 218.98/141.56 tff(34556,plain,
% 218.98/141.56 (~(v110(constB33) | v117(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33870, 34555])).
% 218.98/141.56 tff(34557,plain,
% 218.98/141.56 (~v110(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33989, 34556])).
% 218.98/141.56 tff(34558,plain,
% 218.98/141.56 ((~(v110(constB33) <=> (v111(constB33) | v116(constB33)))) | (~(v111(constB33) | v116(constB33)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33991, 34557])).
% 218.98/141.56 tff(34559,plain,
% 218.98/141.56 (~(v111(constB33) | v116(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34558, 31554])).
% 218.98/141.56 tff(34560,plain,
% 218.98/141.56 (~v111(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33994, 34559])).
% 218.98/141.56 tff(34561,plain,
% 218.98/141.56 ((~(v111(constB33) <=> (v112(constB33) | v115(constB33)))) | (~(v112(constB33) | v115(constB33)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33996, 34560])).
% 218.98/141.56 tff(34562,plain,
% 218.98/141.56 (~(v112(constB33) | v115(constB33))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34561, 31556])).
% 218.98/141.56 tff(34563,plain,
% 218.98/141.56 (~v118(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34143, 34554])).
% 218.98/141.56 tff(34564,plain,
% 218.98/141.56 (v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34146, 34563])).
% 218.98/141.56 tff(34565,plain,
% 218.98/141.56 (v84(constB34, 1) <=> v84(constB33, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31816, 34544])).
% 218.98/141.56 tff(34566,plain,
% 218.98/141.56 (~v84(constB33, 1)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33865, 34565])).
% 218.98/141.56 tff(34567,plain,
% 218.98/141.56 (v84(constB34, 0) <=> v84(constB33, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[31787, 34544])).
% 218.98/141.56 tff(34568,plain,
% 218.98/141.56 ((~(v84(constB34, 0) <=> v84(constB33, 0))) | (~v84(constB34, 0)) | v84(constB33, 0)),
% 218.98/141.56 inference(tautology,[status(thm)],[])).
% 218.98/141.56 tff(34569,plain,
% 218.98/141.56 ((~(v84(constB34, 0) <=> v84(constB33, 0))) | v84(constB33, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34568, 32236])).
% 218.98/141.56 tff(34570,plain,
% 218.98/141.56 (v84(constB33, 0)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34569, 34567])).
% 218.98/141.56 tff(34571,plain,
% 218.98/141.56 (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0)))),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34203, 34570, 34566, 34564])).
% 218.98/141.56 tff(34572,plain,
% 218.98/141.56 (v114(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34162, 34571])).
% 218.98/141.56 tff(34573,plain,
% 218.98/141.56 (v113(constB33) | v114(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34159, 34572])).
% 218.98/141.56 tff(34574,plain,
% 218.98/141.56 ((~(v112(constB33) <=> (v113(constB33) | v114(constB33)))) | v112(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34001, 34573])).
% 218.98/141.56 tff(34575,plain,
% 218.98/141.56 (v112(constB33)),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[34574, 31558])).
% 218.98/141.56 tff(34576,plain,
% 218.98/141.56 ($false),
% 218.98/141.56 inference(unit_resolution,[status(thm)],[33999, 34575, 34562])).
% 218.98/141.57 tff(34577,plain,(v94(constB34) | (~v84(constB34, 0)) | v84(constB34, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34578,plain,
% 218.98/141.57 (~v84(constB34, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34577, 34543, 32206])).
% 218.98/141.57 tff(34579,plain,
% 218.98/141.57 (v108(constB33) | v119(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34539, 34578])).
% 218.98/141.57 tff(34580,plain,
% 218.98/141.57 (v107(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33880, 34579])).
% 218.98/141.57 tff(34581,plain,
% 218.98/141.57 (~((~v107(constB33)) | (~v120(constB33)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33888, 34580])).
% 218.98/141.57 tff(34582,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33891, 34549, 34581])).
% 218.98/141.57 tff(34583,plain,(v94(constB34) | v84(constB34, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34584,plain,
% 218.98/141.57 (v84(constB34, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34583, 34543])).
% 218.98/141.57 tff(34585,plain,
% 218.98/141.57 ((~(v84(constB34, 1) <=> v84(constB33, 1))) | (~v84(constB34, 1)) | v84(constB33, 1)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34586,plain,
% 218.98/141.57 (~(v84(constB34, 1) <=> v84(constB33, 1))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34585, 33964, 34450])).
% 218.98/141.57 tff(34587,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))), introduced(assumption)).
% 218.98/141.57 tff(34588,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31816, 34587, 34586])).
% 218.98/141.57 tff(34589,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))) | v84(constB33, 1) | (~v84(constB34, 1))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34590,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34589, 34584, 34544, 33964])).
% 218.98/141.57 tff(34591,plain,(v94(constB34) | v84(constB33, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34592,plain,
% 218.98/141.57 (v84(constB33, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34591, 34543])).
% 218.98/141.57 tff(34593,plain,
% 218.98/141.57 (~(v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34224, 34592, 34542, 34197])).
% 218.98/141.57 tff(34594,plain,
% 218.98/141.57 (v116(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34222, 34593])).
% 218.98/141.57 tff(34595,plain,
% 218.98/141.57 (v111(constB33) | v116(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34219, 34594])).
% 218.98/141.57 tff(34596,assumption,(~(v110(constB33) <=> (v111(constB33) | v116(constB33)))), introduced(assumption)).
% 218.98/141.57 tff(34597,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31553, 265, 34596])).
% 218.98/141.57 tff(34598,plain,(v110(constB33) <=> (v111(constB33) | v116(constB33))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34599,plain,
% 218.98/141.57 (v110(constB33) | (~(v111(constB33) | v116(constB33)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33991, 34598])).
% 218.98/141.57 tff(34600,plain,
% 218.98/141.57 (v110(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34599, 34595])).
% 218.98/141.57 tff(34601,plain,
% 218.98/141.57 (v110(constB33) | v117(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33989, 34600])).
% 218.98/141.57 tff(34602,plain,
% 218.98/141.57 (v109(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33870, 34601])).
% 218.98/141.57 tff(34603,plain,
% 218.98/141.57 (v109(constB33) | v118(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33872, 34602])).
% 218.98/141.57 tff(34604,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33875, 34553, 34603])).
% 218.98/141.57 tff(34605,plain,(v94(constB34) | v84(constB33, 2) | (~v84(constB33, 0))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34606,plain,
% 218.98/141.57 (v84(constB33, 2)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34605, 34492, 34197])).
% 218.98/141.57 tff(34607,plain,
% 218.98/141.57 (v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31621, 34606])).
% 218.98/141.57 tff(34608,plain,
% 218.98/141.57 (~v116(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31633, 34607])).
% 218.98/141.57 tff(34609,plain,
% 218.98/141.57 (v84(constB36, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34486, 34608, 33623, 34427])).
% 218.98/141.57 tff(34610,plain,
% 218.98/141.57 ((~(v84(constB36, 1) <=> v123(constB36, 1))) | (~v84(constB36, 1)) | v123(constB36, 1)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34611,plain,
% 218.98/141.57 (v123(constB36, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34610, 34609, 33408])).
% 218.98/141.57 tff(34612,plain,
% 218.98/141.57 ((~(v123(constB36, 1) <=> v121(constB35, 1))) | (~v123(constB36, 1)) | v121(constB35, 1)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34613,plain,
% 218.98/141.57 ((~v123(constB36, 1)) | v121(constB35, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34612, 33244])).
% 218.98/141.57 tff(34614,plain,
% 218.98/141.57 (v121(constB35, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34613, 34611])).
% 218.98/141.57 tff(34615,plain,
% 218.98/141.57 ((~(v121(constB35, 1) <=> v124(constB35, 1))) | (~v121(constB35, 1)) | v124(constB35, 1)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34616,plain,
% 218.98/141.57 ((~v121(constB35, 1)) | v124(constB35, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34615, 33265])).
% 218.98/141.57 tff(34617,plain,
% 218.98/141.57 (v124(constB35, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34616, 34614])).
% 218.98/141.57 tff(34618,assumption,(v124(constB35, 1)), introduced(assumption)).
% 218.98/141.57 tff(34619,plain,
% 218.98/141.57 ((~(v124(constB35, 1) <=> b001(1))) | (~v124(constB35, 1)) | b001(1)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34620,plain,
% 218.98/141.57 (~(v124(constB35, 1) <=> b001(1))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34619, 1885, 34618])).
% 218.98/141.57 tff(34621,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | (v124(constB35, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | (v124(constB35, 1) <=> b001(1)))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34622,plain,
% 218.98/141.57 (($false | $false | (v124(constB35, 1) <=> b001(1))) <=> (v124(constB35, 1) <=> b001(1))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34623,plain,
% 218.98/141.57 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b001(1))) <=> ($false | $false | (v124(constB35, 1) <=> b001(1)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[402, 401])).
% 218.98/141.57 tff(34624,plain,
% 218.98/141.57 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b001(1))) <=> (v124(constB35, 1) <=> b001(1))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34623, 34622])).
% 218.98/141.57 tff(34625,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | (v124(constB35, 1) <=> b001(1)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[34624])).
% 218.98/141.57 tff(34626,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | (v124(constB35, 1) <=> b001(1)))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34625, 34621])).
% 218.98/141.57 tff(34627,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b001(1)))),
% 218.98/141.57 inference(quant_inst,[status(thm)],[])).
% 218.98/141.57 tff(34628,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | (v124(constB35, 1) <=> b001(1))),
% 218.98/141.57 inference(modus_ponens,[status(thm)],[34627, 34626])).
% 218.98/141.57 tff(34629,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34628, 33539, 34620])).
% 218.98/141.57 tff(34630,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))) | (~v124(constB35, 1))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34631,plain,
% 218.98/141.57 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34630, 34617])).
% 218.98/141.57 tff(34632,plain,
% 218.98/141.57 (v84(constB34, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34045, 34032, 33551, 34021])).
% 218.98/141.57 tff(34633,plain,
% 218.98/141.57 (v84(constB35, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33439, 34632])).
% 218.98/141.57 tff(34634,plain,
% 218.98/141.57 (v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[32251, 34633])).
% 218.98/141.57 tff(34635,plain,
% 218.98/141.57 ((~(v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))))) | (~v113(constB35))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31988, 34634])).
% 218.98/141.57 tff(34636,plain,
% 218.98/141.57 (~v113(constB35)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34635, 31985])).
% 218.98/141.57 tff(34637,assumption,(~(v105(constB33) | v106(constB33))), introduced(assumption)).
% 218.98/141.57 tff(34638,plain,
% 218.98/141.57 (~v102(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31687, 34637])).
% 218.98/141.57 tff(34639,plain,
% 218.98/141.57 (~v104(constB34)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31697, 34638])).
% 218.98/141.57 tff(34640,plain,
% 218.98/141.57 ((~v95(constB34)) | (~v104(constB34))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31699, 34639])).
% 218.98/141.57 tff(34641,plain,
% 218.98/141.57 (~v94(constB34)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31706, 34640])).
% 218.98/141.57 tff(34642,plain,
% 218.98/141.57 (v84(constB34, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34577, 34641, 34632])).
% 218.98/141.57 tff(34643,plain,
% 218.98/141.57 (v84(constB35, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34011, 34642])).
% 218.98/141.57 tff(34644,plain,
% 218.98/141.57 (v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[32061, 34643])).
% 218.98/141.57 tff(34645,plain,
% 218.98/141.57 (~v118(constB35)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[32063, 34644, 32060])).
% 218.98/141.57 tff(34646,assumption,(~v118(constB35)), introduced(assumption)).
% 218.98/141.57 tff(34647,assumption,(v84(constB35, 2)), introduced(assumption)).
% 218.98/141.57 tff(34648,plain,
% 218.98/141.57 (v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31776, 34647])).
% 218.98/141.57 tff(34649,plain,
% 218.98/141.57 (~v114(constB35)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31981, 34648, 31980])).
% 218.98/141.57 tff(34650,plain,
% 218.98/141.57 (v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[32020, 34647])).
% 218.98/141.57 tff(34651,plain,
% 218.98/141.57 (~v116(constB35)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[32022, 34650, 32019])).
% 218.98/141.57 tff(34652,assumption,(~v113(constB35)), introduced(assumption)).
% 218.98/141.57 tff(34653,plain,
% 218.98/141.57 (v118(constB35) | v116(constB35) | v114(constB35)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34042, 1807, 33551, 34032, 34021, 34652])).
% 218.98/141.57 tff(34654,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34653, 34651, 34649, 34646])).
% 218.98/141.57 tff(34655,plain,((~v84(constB35, 2)) | v118(constB35) | v117(constB35) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B))) | v115(constB35) | v113(constB35)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34656,plain,
% 218.98/141.57 (~v84(constB35, 2)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34655, 34645, 34032, 33551, 34021, 34636])).
% 218.98/141.57 tff(34657,plain,
% 218.98/141.57 (~v84(constB34, 2)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31774, 34656])).
% 218.98/141.57 tff(34658,plain,
% 218.98/141.57 (~v106(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33893, 34637])).
% 218.98/141.57 tff(34659,plain,
% 218.98/141.57 ((~v107(constB33)) | (~v120(constB33))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33891, 34658])).
% 218.98/141.57 tff(34660,plain,
% 218.98/141.57 (~v107(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33888, 34659])).
% 218.98/141.57 tff(34661,plain,
% 218.98/141.57 (~(v108(constB33) | v119(constB33))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33880, 34660])).
% 218.98/141.57 tff(34662,plain,
% 218.98/141.57 (~v108(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33877, 34661])).
% 218.98/141.57 tff(34663,plain,
% 218.98/141.57 (~(v109(constB33) | v118(constB33))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33875, 34662])).
% 218.98/141.57 tff(34664,plain,
% 218.98/141.57 (~v109(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33872, 34663])).
% 218.98/141.57 tff(34665,plain,
% 218.98/141.57 (~(v110(constB33) | v117(constB33))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33870, 34664])).
% 218.98/141.57 tff(34666,plain,
% 218.98/141.57 (~v110(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33989, 34665])).
% 218.98/141.57 tff(34667,plain,
% 218.98/141.57 (~v115(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34172, 34666])).
% 218.98/141.57 tff(34668,assumption,(~(v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))))), introduced(assumption)).
% 218.98/141.57 tff(34669,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31585, 622, 34668])).
% 218.98/141.57 tff(34670,plain,(v115(constB33) <=> (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34671,plain,
% 218.98/141.57 (v115(constB33) | (v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34174, 34670])).
% 218.98/141.57 tff(34672,plain,
% 218.98/141.57 (v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34671, 34667])).
% 218.98/141.57 tff(34673,plain,
% 218.98/141.57 (v119(constB33) | (v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34179, 34513])).
% 218.98/141.57 tff(34674,plain,
% 218.98/141.57 (v84(constB33, 0) | (~v84(constB33, 2)) | (~v84(constB33, 1))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34673, 34178])).
% 218.98/141.57 tff(34675,plain,
% 218.98/141.57 (~(v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34194, 34183, 33963, 34189, 34674])).
% 218.98/141.57 tff(34676,plain,
% 218.98/141.57 (v84(constB33, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34589, 34138, 34450])).
% 218.98/141.57 tff(34677,plain,
% 218.98/141.57 ((v84(constB33, 0) | v84(constB33, 1) | v84(constB33, 2)) | (~v84(constB33, 1))),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34678,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34677, 34676, 34675])).
% 218.98/141.57 tff(34679,plain,(v107(constB33) | (~v84(constB34, 1)) | v84(constB33, 0) | (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34680,plain,
% 218.98/141.57 (v84(constB33, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34679, 34672, 34660, 34642])).
% 218.98/141.57 tff(34681,plain,
% 218.98/141.57 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v84(constB33, B)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31714, 34641])).
% 218.98/141.57 tff(34682,plain,
% 218.98/141.57 (v84(constB33, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34589, 34681, 34642])).
% 218.98/141.57 tff(34683,plain,
% 218.98/141.57 (~(v111(constB33) | v116(constB33))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34599, 34666])).
% 218.98/141.57 tff(34684,plain,
% 218.98/141.57 (~v116(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34219, 34683])).
% 218.98/141.57 tff(34685,plain,
% 218.98/141.57 (v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34222, 34684])).
% 218.98/141.57 tff(34686,plain,
% 218.98/141.57 (v84(constB33, 2)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34224, 34685, 34682, 34680])).
% 218.98/141.57 tff(34687,plain,
% 218.98/141.57 (~(v84(constB34, 2) <=> v84(constB33, 2))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31725, 34686, 34657])).
% 218.98/141.57 tff(34688,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31723, 34681, 34687])).
% 218.98/141.57 tff(34689,plain,((v105(constB33) | v106(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b001(B))) | v117(constB35) | v115(constB35)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34690,plain,
% 218.98/141.57 (v115(constB35)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34689, 34631, 34496, 33551])).
% 218.98/141.57 tff(34691,assumption,(~(v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))), introduced(assumption)).
% 218.98/141.57 tff(34692,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[32001, 622, 34691])).
% 218.98/141.57 tff(34693,plain,(v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34694,plain,
% 218.98/141.57 ((~v115(constB35)) | (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[32005, 34693])).
% 218.98/141.57 tff(34695,plain,
% 218.98/141.57 (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34694, 34690])).
% 218.98/141.57 tff(34696,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[32258, 34695, 34541])).
% 218.98/141.57 tff(34697,plain,(v124(constB33, 1) | v117(constB35) | (~(v84(constB36, 1) <=> v123(constB36, 1))) | (~v84(constB33, 0)) | (~v84(constB34, 1))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34698,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34697, 34115, 34425, 33408, 33623, 34490])).
% 218.98/141.57 tff(34699,plain,((v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))) | (~(v84(constB36, 1) <=> v123(constB36, 1))) | v124(constB33, 1)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34700,plain,
% 218.98/141.57 (v124(constB33, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34699, 33315, 28871])).
% 218.98/141.57 tff(34701,assumption,(v124(constB33, 1)), introduced(assumption)).
% 218.98/141.57 tff(34702,plain,
% 218.98/141.57 ((~(v124(constB33, 1) <=> b100(1))) | (~v124(constB33, 1)) | b100(1)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34703,plain,
% 218.98/141.57 (~(v124(constB33, 1) <=> b100(1))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34702, 2274, 34701])).
% 218.98/141.57 tff(34704,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | (v124(constB33, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | (v124(constB33, 1) <=> b100(1)))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34705,plain,
% 218.98/141.57 (($false | $false | (v124(constB33, 1) <=> b100(1))) <=> (v124(constB33, 1) <=> b100(1))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34706,plain,
% 218.98/141.57 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b100(1))) <=> ($false | $false | (v124(constB33, 1) <=> b100(1)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[402, 401])).
% 218.98/141.57 tff(34707,plain,
% 218.98/141.57 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b100(1))) <=> (v124(constB33, 1) <=> b100(1))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34706, 34705])).
% 218.98/141.57 tff(34708,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | (v124(constB33, 1) <=> b100(1)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[34707])).
% 218.98/141.57 tff(34709,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | (v124(constB33, 1) <=> b100(1)))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34708, 34704])).
% 218.98/141.57 tff(34710,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b100(1)))),
% 218.98/141.57 inference(quant_inst,[status(thm)],[])).
% 218.98/141.57 tff(34711,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | (v124(constB33, 1) <=> b100(1))),
% 218.98/141.57 inference(modus_ponens,[status(thm)],[34710, 34709])).
% 218.98/141.57 tff(34712,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34711, 33713, 34703])).
% 218.98/141.57 tff(34713,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))) | (~v124(constB33, 1))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34714,plain,
% 218.98/141.57 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34713, 34700])).
% 218.98/141.57 tff(34715,assumption,(v116(constB33)), introduced(assumption)).
% 218.98/141.57 tff(34716,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))), introduced(assumption)).
% 218.98/141.57 tff(34717,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33730, 2230, 34716, 34715])).
% 218.98/141.57 tff(34718,plain,((~v116(constB33)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34719,plain,
% 218.98/141.57 (~v116(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34718, 34714])).
% 218.98/141.57 tff(34720,plain,
% 218.98/141.57 (v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34671, 34350])).
% 218.98/141.57 tff(34721,plain,
% 218.98/141.57 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34454, 34450, 34449])).
% 218.98/141.57 tff(34722,plain,
% 218.98/141.57 (~v94(constB34)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33861, 34721])).
% 218.98/141.57 tff(34723,plain,
% 218.98/141.57 ((~v95(constB34)) | (~v104(constB34))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33933, 34722])).
% 218.98/141.57 tff(34724,plain,
% 218.98/141.57 (~v104(constB34)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33930, 34723])).
% 218.98/141.57 tff(34725,plain,
% 218.98/141.57 (v107(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34679, 34450, 33963, 34189])).
% 218.98/141.57 tff(34726,plain,
% 218.98/141.57 (~((~v107(constB33)) | (~v120(constB33)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33888, 34725])).
% 218.98/141.57 tff(34727,plain,
% 218.98/141.57 (v106(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33891, 34726])).
% 218.98/141.57 tff(34728,plain,
% 218.98/141.57 (v105(constB33) | v106(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33893, 34727])).
% 218.98/141.57 tff(34729,plain,
% 218.98/141.57 (v102(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33896, 34728])).
% 218.98/141.57 tff(34730,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33899, 34729, 34724])).
% 218.98/141.57 tff(34731,plain,((~v84(constB34, 1)) | v123(constB34, 1) | v84(constB33, 0) | (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34732,plain,
% 218.98/141.57 (v123(constB34, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34731, 33963, 34450, 34720])).
% 218.98/141.57 tff(34733,plain,
% 218.98/141.57 (v121(constB33, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34447, 34732])).
% 218.98/141.57 tff(34734,plain,
% 218.98/141.57 ((v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))) | v84(constB33, 0)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34735,plain,
% 218.98/141.57 (v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34734, 33963])).
% 218.98/141.57 tff(34736,plain,
% 218.98/141.57 (~v118(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31537, 34735])).
% 218.98/141.57 tff(34737,plain,
% 218.98/141.57 ((v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))) | v84(constB33, 0)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34738,plain,
% 218.98/141.57 (v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34737, 33963])).
% 218.98/141.57 tff(34739,plain,
% 218.98/141.57 (~v114(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[31566, 34738])).
% 218.98/141.57 tff(34740,plain,
% 218.98/141.57 ((~(v124(constB33, 1) <=> b001(1))) | (~v124(constB33, 1)) | b001(1)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34741,plain,
% 218.98/141.57 (~(v124(constB33, 1) <=> b001(1))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34740, 1885, 34701])).
% 218.98/141.57 tff(34742,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 1) <=> b001(1)))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34743,plain,
% 218.98/141.57 (($false | $false | (v124(constB33, 1) <=> b001(1))) <=> (v124(constB33, 1) <=> b001(1))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34744,plain,
% 218.98/141.57 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b001(1))) <=> ($false | $false | (v124(constB33, 1) <=> b001(1)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[402, 401])).
% 218.98/141.57 tff(34745,plain,
% 218.98/141.57 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b001(1))) <=> (v124(constB33, 1) <=> b001(1))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34744, 34743])).
% 218.98/141.57 tff(34746,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 1) <=> b001(1)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[34745])).
% 218.98/141.57 tff(34747,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 1) <=> b001(1)))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34746, 34742])).
% 218.98/141.57 tff(34748,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b001(1)))),
% 218.98/141.57 inference(quant_inst,[status(thm)],[])).
% 218.98/141.57 tff(34749,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 1) <=> b001(1))),
% 218.98/141.57 inference(modus_ponens,[status(thm)],[34748, 34747])).
% 218.98/141.57 tff(34750,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34749, 33799, 34741])).
% 218.98/141.57 tff(34751,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (~v124(constB33, 1))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34752,plain,
% 218.98/141.57 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34751, 34701])).
% 218.98/141.57 tff(34753,plain,
% 218.98/141.57 ((~(v124(constB33, 1) <=> b101(1))) | (~v124(constB33, 1)) | b101(1)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34754,plain,
% 218.98/141.57 (~(v124(constB33, 1) <=> b101(1))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34753, 2330, 34701])).
% 218.98/141.57 tff(34755,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 1) <=> b101(1)))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34756,plain,
% 218.98/141.57 (($false | $false | (v124(constB33, 1) <=> b101(1))) <=> (v124(constB33, 1) <=> b101(1))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34757,plain,
% 218.98/141.57 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b101(1))) <=> ($false | $false | (v124(constB33, 1) <=> b101(1)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[402, 401])).
% 218.98/141.57 tff(34758,plain,
% 218.98/141.57 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b101(1))) <=> (v124(constB33, 1) <=> b101(1))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34757, 34756])).
% 218.98/141.57 tff(34759,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 1) <=> b101(1)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[34758])).
% 218.98/141.57 tff(34760,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 1) <=> b101(1)))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34759, 34755])).
% 218.98/141.57 tff(34761,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB33, 1) <=> b101(1)))),
% 218.98/141.57 inference(quant_inst,[status(thm)],[])).
% 218.98/141.57 tff(34762,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (v124(constB33, 1) <=> b101(1))),
% 218.98/141.57 inference(modus_ponens,[status(thm)],[34761, 34760])).
% 218.98/141.57 tff(34763,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34762, 33774, 34754])).
% 218.98/141.57 tff(34764,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))) | (~v124(constB33, 1))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34765,plain,
% 218.98/141.57 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b101(B)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34764, 34701])).
% 218.98/141.57 tff(34766,plain,
% 218.98/141.57 (~v117(constB33)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33795, 34765])).
% 218.98/141.57 tff(34767,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34366, 34766, 34752, 34360, 34361, 34350, 34362])).
% 218.98/141.57 tff(34768,plain,((~v124(constB33, 1)) | v118(constB33) | v116(constB33) | v115(constB33) | v114(constB33)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34769,plain,
% 218.98/141.57 (~v124(constB33, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34768, 34739, 34350, 34736, 34361])).
% 218.98/141.57 tff(34770,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34441, 34769, 34733])).
% 218.98/141.57 tff(34771,plain,(v84(constB33, 0) | v115(constB33) | v116(constB33) | (~v84(constB34, 1))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34772,plain,
% 218.98/141.57 (v84(constB33, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34771, 34719, 34425, 34331])).
% 218.98/141.57 tff(34773,plain,
% 218.98/141.57 ((~(v84(constB33, 0) <=> v84(constB32, 0))) | (~v84(constB33, 0)) | v84(constB32, 0)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34774,plain,
% 218.98/141.57 ((~v84(constB33, 0)) | v84(constB32, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34773, 31494])).
% 218.98/141.57 tff(34775,plain,
% 218.98/141.57 (v84(constB32, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34774, 34772])).
% 218.98/141.57 tff(34776,plain,
% 218.98/141.57 ((~(v84(constB32, 0) <=> v123(constB32, 0))) | (~v84(constB32, 0)) | v123(constB32, 0)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34777,plain,
% 218.98/141.57 (v123(constB32, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34776, 34775, 34424])).
% 218.98/141.57 tff(34778,assumption,(~(v123(constB32, 0) <=> v121(constB31, 0))), introduced(assumption)).
% 218.98/141.57 tff(34779,plain,
% 218.98/141.57 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B))))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34780,plain,
% 218.98/141.57 (((~nextState(constB31, constB32)) | ![B: $int] : ((v123(constB32, B) <=> v121(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B))))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34781,plain,
% 218.98/141.57 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB31, constB32)) | ![B: $int] : ((v123(constB32, B) <=> v121(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[34780])).
% 218.98/141.57 tff(34782,plain,
% 218.98/141.57 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB31, constB32)) | ![B: $int] : ((v123(constB32, B) <=> v121(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B))))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34781, 34779])).
% 218.98/141.57 tff(34783,plain,
% 218.98/141.57 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB31, constB32)) | ![B: $int] : ((v123(constB32, B) <=> v121(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.57 inference(quant_inst,[status(thm)],[])).
% 218.98/141.57 tff(34784,plain,
% 218.98/141.57 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB31, constB32)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))),
% 218.98/141.57 inference(modus_ponens,[status(thm)],[34783, 34782])).
% 218.98/141.57 tff(34785,plain,
% 218.98/141.57 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34784, 31305, 1527])).
% 218.98/141.57 tff(34786,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 0) <=> v121(constB31, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 0) <=> v121(constB31, 0)))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34787,plain,
% 218.98/141.57 (($false | $false | (v123(constB32, 0) <=> v121(constB31, 0))) <=> (v123(constB32, 0) <=> v121(constB31, 0))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34788,plain,
% 218.98/141.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB32, 0) <=> v121(constB31, 0))) <=> ($false | $false | (v123(constB32, 0) <=> v121(constB31, 0)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.57 tff(34789,plain,
% 218.98/141.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB32, 0) <=> v121(constB31, 0))) <=> (v123(constB32, 0) <=> v121(constB31, 0))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34788, 34787])).
% 218.98/141.57 tff(34790,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB32, 0) <=> v121(constB31, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 0) <=> v121(constB31, 0)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[34789])).
% 218.98/141.57 tff(34791,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB32, 0) <=> v121(constB31, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 0) <=> v121(constB31, 0)))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34790, 34786])).
% 218.98/141.57 tff(34792,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB32, 0) <=> v121(constB31, 0)))),
% 218.98/141.57 inference(quant_inst,[status(thm)],[])).
% 218.98/141.57 tff(34793,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 0) <=> v121(constB31, 0))),
% 218.98/141.57 inference(modus_ponens,[status(thm)],[34792, 34791])).
% 218.98/141.57 tff(34794,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34793, 34785, 34778])).
% 218.98/141.57 tff(34795,plain,(v123(constB32, 0) <=> v121(constB31, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34796,plain,
% 218.98/141.57 ((~(v123(constB32, 0) <=> v121(constB31, 0))) | (~v123(constB32, 0)) | v121(constB31, 0)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34797,plain,
% 218.98/141.57 ((~v123(constB32, 0)) | v121(constB31, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34796, 34795])).
% 218.98/141.57 tff(34798,plain,
% 218.98/141.57 (v121(constB31, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34797, 34777])).
% 218.98/141.57 tff(34799,assumption,(~(v121(constB31, 0) <=> v124(constB31, 0))), introduced(assumption)).
% 218.98/141.57 tff(34800,plain,
% 218.98/141.57 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B))))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34801,plain,
% 218.98/141.57 ((v105(constB31) | ![B: $int] : ((v121(constB31, B) <=> v124(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B))))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34802,plain,
% 218.98/141.57 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB31) | ![B: $int] : ((v121(constB31, B) <=> v124(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[34801])).
% 218.98/141.57 tff(34803,plain,
% 218.98/141.57 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB31) | ![B: $int] : ((v121(constB31, B) <=> v124(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B))))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34802, 34800])).
% 218.98/141.57 tff(34804,plain,
% 218.98/141.57 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB31) | ![B: $int] : ((v121(constB31, B) <=> v124(constB31, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.57 inference(quant_inst,[status(thm)],[])).
% 218.98/141.57 tff(34805,plain,
% 218.98/141.57 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))),
% 218.98/141.57 inference(modus_ponens,[status(thm)],[34804, 34803])).
% 218.98/141.57 tff(34806,plain,
% 218.98/141.57 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34805, 1562, 31294])).
% 218.98/141.57 tff(34807,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 0) <=> v124(constB31, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 0) <=> v124(constB31, 0)))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34808,plain,
% 218.98/141.57 (($false | $false | (v121(constB31, 0) <=> v124(constB31, 0))) <=> (v121(constB31, 0) <=> v124(constB31, 0))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34809,plain,
% 218.98/141.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB31, 0) <=> v124(constB31, 0))) <=> ($false | $false | (v121(constB31, 0) <=> v124(constB31, 0)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.57 tff(34810,plain,
% 218.98/141.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB31, 0) <=> v124(constB31, 0))) <=> (v121(constB31, 0) <=> v124(constB31, 0))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34809, 34808])).
% 218.98/141.57 tff(34811,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB31, 0) <=> v124(constB31, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 0) <=> v124(constB31, 0)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[34810])).
% 218.98/141.57 tff(34812,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB31, 0) <=> v124(constB31, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 0) <=> v124(constB31, 0)))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34811, 34807])).
% 218.98/141.57 tff(34813,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB31, 0) <=> v124(constB31, 0)))),
% 218.98/141.57 inference(quant_inst,[status(thm)],[])).
% 218.98/141.57 tff(34814,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 0) <=> v124(constB31, 0))),
% 218.98/141.57 inference(modus_ponens,[status(thm)],[34813, 34812])).
% 218.98/141.57 tff(34815,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34814, 34806, 34799])).
% 218.98/141.57 tff(34816,plain,(v121(constB31, 0) <=> v124(constB31, 0)), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34817,plain,
% 218.98/141.57 ((~(v121(constB31, 0) <=> v124(constB31, 0))) | (~v121(constB31, 0)) | v124(constB31, 0)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34818,plain,
% 218.98/141.57 ((~v121(constB31, 0)) | v124(constB31, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34817, 34816])).
% 218.98/141.57 tff(34819,plain,
% 218.98/141.57 (v124(constB31, 0)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34818, 34798])).
% 218.98/141.57 tff(34820,assumption,(v124(constB31, 0)), introduced(assumption)).
% 218.98/141.57 tff(34821,plain,
% 218.98/141.57 ((~(v124(constB31, 0) <=> b110(0))) | (~v124(constB31, 0)) | b110(0)),
% 218.98/141.57 inference(tautology,[status(thm)],[])).
% 218.98/141.57 tff(34822,plain,
% 218.98/141.57 (~(v124(constB31, 0) <=> b110(0))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34821, 3186, 34820])).
% 218.98/141.57 tff(34823,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))), introduced(assumption)).
% 218.98/141.57 tff(34824,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | (v124(constB31, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | (v124(constB31, 0) <=> b110(0)))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34825,plain,
% 218.98/141.57 (($false | $false | (v124(constB31, 0) <=> b110(0))) <=> (v124(constB31, 0) <=> b110(0))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34826,plain,
% 218.98/141.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b110(0))) <=> ($false | $false | (v124(constB31, 0) <=> b110(0)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[250, 249])).
% 218.98/141.57 tff(34827,plain,
% 218.98/141.57 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b110(0))) <=> (v124(constB31, 0) <=> b110(0))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34826, 34825])).
% 218.98/141.57 tff(34828,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | (v124(constB31, 0) <=> b110(0)))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[34827])).
% 218.98/141.57 tff(34829,plain,
% 218.98/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | (v124(constB31, 0) <=> b110(0)))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34828, 34824])).
% 218.98/141.57 tff(34830,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b110(0)))),
% 218.98/141.57 inference(quant_inst,[status(thm)],[])).
% 218.98/141.57 tff(34831,plain,
% 218.98/141.57 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | (v124(constB31, 0) <=> b110(0))),
% 218.98/141.57 inference(modus_ponens,[status(thm)],[34830, 34829])).
% 218.98/141.57 tff(34832,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34831, 34823, 34822])).
% 218.98/141.57 tff(34833,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | (~v124(constB31, 0))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34834,plain,
% 218.98/141.57 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34833, 34819])).
% 218.98/141.57 tff(34835,assumption,(v118(constB31)), introduced(assumption)).
% 218.98/141.57 tff(34836,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))), introduced(assumption)).
% 218.98/141.57 tff(34837,plain,
% 218.98/141.57 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B))))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34838,plain,
% 218.98/141.57 (((~v118(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B))))),
% 218.98/141.57 inference(rewrite,[status(thm)],[])).
% 218.98/141.57 tff(34839,plain,
% 218.98/141.57 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))))),
% 218.98/141.57 inference(monotonicity,[status(thm)],[34838])).
% 218.98/141.57 tff(34840,plain,
% 218.98/141.57 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B))))),
% 218.98/141.57 inference(transitivity,[status(thm)],[34839, 34837])).
% 218.98/141.57 tff(34841,plain,
% 218.98/141.57 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 218.98/141.57 inference(quant_inst,[status(thm)],[])).
% 218.98/141.57 tff(34842,plain,
% 218.98/141.57 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))),
% 218.98/141.57 inference(modus_ponens,[status(thm)],[34841, 34840])).
% 218.98/141.57 tff(34843,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34842, 1977, 34836, 34835])).
% 218.98/141.57 tff(34844,plain,((~v118(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34845,plain,
% 218.98/141.57 (~v118(constB31)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34844, 34834])).
% 218.98/141.57 tff(34846,assumption,(~(v84(constB34, 2) <=> v123(constB34, 2))), introduced(assumption)).
% 218.98/141.57 tff(34847,plain,
% 218.98/141.57 ($false),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33699, 33564, 34846])).
% 218.98/141.57 tff(34848,plain,((v84(constB34, 2) <=> v123(constB34, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B))))), inference(lemma,lemma(discharge,[]))).
% 218.98/141.57 tff(34849,plain,
% 218.98/141.57 (v84(constB34, 2) <=> v123(constB34, 2)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34848, 34282])).
% 218.98/141.57 tff(34850,plain,
% 218.98/141.57 (~v123(constB36, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33225, 33315, 33065])).
% 218.98/141.57 tff(34851,plain,
% 218.98/141.57 (~v121(constB35, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33246, 34850])).
% 218.98/141.57 tff(34852,plain,
% 218.98/141.57 (~v124(constB35, 1)),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[33267, 34851])).
% 218.98/141.57 tff(34853,plain,
% 218.98/141.57 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b011(B)))),
% 218.98/141.57 inference(unit_resolution,[status(thm)],[34300, 34852])).
% 219.03/141.57 tff(34854,plain,
% 219.03/141.57 (~v115(constB35)),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34056, 34853])).
% 219.03/141.57 tff(34855,plain,
% 219.03/141.57 (v115(constB35) | (v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[33173, 34693])).
% 219.03/141.57 tff(34856,plain,
% 219.03/141.57 (v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34855, 34854])).
% 219.03/141.57 tff(34857,assumption,(~v123(constB34, 0)), introduced(assumption)).
% 219.03/141.57 tff(34858,plain,
% 219.03/141.57 ((~(v84(constB34, 0) <=> v123(constB34, 0))) | (~v84(constB34, 0)) | v123(constB34, 0)),
% 219.03/141.57 inference(tautology,[status(thm)],[])).
% 219.03/141.57 tff(34859,plain,
% 219.03/141.57 (~(v84(constB34, 0) <=> v123(constB34, 0))),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34858, 32236, 34857])).
% 219.03/141.57 tff(34860,plain,
% 219.03/141.57 ($false),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[33758, 33564, 34859])).
% 219.03/141.57 tff(34861,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))) | (~v84(constB34, 0)) | v123(constB34, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.57 tff(34862,plain,
% 219.03/141.57 (~v84(constB34, 0)),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34861, 34282, 34306])).
% 219.03/141.57 tff(34863,plain,
% 219.03/141.57 (~v84(constB35, 0)),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[33460, 34862])).
% 219.03/141.57 tff(34864,plain,
% 219.03/141.57 (v84(constB35, 2)),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[33175, 34863, 34856, 34101])).
% 219.03/141.57 tff(34865,plain,
% 219.03/141.57 ((~(v84(constB35, 2) <=> v84(constB34, 2))) | (~v84(constB35, 2)) | v84(constB34, 2)),
% 219.03/141.57 inference(tautology,[status(thm)],[])).
% 219.03/141.57 tff(34866,plain,
% 219.03/141.57 ((~v84(constB35, 2)) | v84(constB34, 2)),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34865, 31772])).
% 219.03/141.57 tff(34867,plain,
% 219.03/141.57 (v84(constB34, 2)),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34866, 34864])).
% 219.03/141.57 tff(34868,plain,
% 219.03/141.57 ((~(v84(constB34, 2) <=> v123(constB34, 2))) | (~v84(constB34, 2)) | v123(constB34, 2)),
% 219.03/141.57 inference(tautology,[status(thm)],[])).
% 219.03/141.57 tff(34869,plain,
% 219.03/141.57 (v123(constB34, 2)),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34868, 34867, 34849])).
% 219.03/141.57 tff(34870,assumption,(~(v123(constB34, 2) <=> v121(constB33, 2))), introduced(assumption)).
% 219.03/141.57 tff(34871,plain,
% 219.03/141.57 ($false),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[33690, 33591, 34870])).
% 219.03/141.57 tff(34872,plain,(v123(constB34, 2) <=> v121(constB33, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.57 tff(34873,plain,
% 219.03/141.57 ((~(v123(constB34, 2) <=> v121(constB33, 2))) | (~v123(constB34, 2)) | v121(constB33, 2)),
% 219.03/141.57 inference(tautology,[status(thm)],[])).
% 219.03/141.57 tff(34874,plain,
% 219.03/141.57 ((~v123(constB34, 2)) | v121(constB33, 2)),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34873, 34872])).
% 219.03/141.57 tff(34875,plain,
% 219.03/141.57 (v121(constB33, 2)),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34874, 34869])).
% 219.03/141.57 tff(34876,assumption,(~(v121(constB33, 2) <=> v124(constB33, 2))), introduced(assumption)).
% 219.03/141.57 tff(34877,plain,
% 219.03/141.57 ($false),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[33681, 33575, 34876])).
% 219.03/141.57 tff(34878,plain,(v121(constB33, 2) <=> v124(constB33, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.57 tff(34879,plain,
% 219.03/141.57 ((~(v121(constB33, 2) <=> v124(constB33, 2))) | (~v121(constB33, 2)) | v124(constB33, 2)),
% 219.03/141.57 inference(tautology,[status(thm)],[])).
% 219.03/141.57 tff(34880,plain,
% 219.03/141.57 ((~v121(constB33, 2)) | v124(constB33, 2)),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34879, 34878])).
% 219.03/141.57 tff(34881,plain,
% 219.03/141.57 (v124(constB33, 2)),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34880, 34875])).
% 219.03/141.57 tff(34882,assumption,(v124(constB33, 2)), introduced(assumption)).
% 219.03/141.57 tff(34883,plain,
% 219.03/141.57 ((~(v124(constB33, 2) <=> b010(2))) | (~v124(constB33, 2)) | b010(2)),
% 219.03/141.57 inference(tautology,[status(thm)],[])).
% 219.03/141.57 tff(34884,plain,
% 219.03/141.57 (~(v124(constB33, 2) <=> b010(2))),
% 219.03/141.57 inference(unit_resolution,[status(thm)],[34883, 2485, 34882])).
% 219.03/141.57 tff(34885,plain,
% 219.03/141.57 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | (v124(constB33, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | (v124(constB33, 2) <=> b010(2)))),
% 219.03/141.57 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(34886,plain,
% 219.03/141.58 (($false | $false | (v124(constB33, 2) <=> b010(2))) <=> (v124(constB33, 2) <=> b010(2))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(34887,plain,
% 219.03/141.58 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b010(2))) <=> ($false | $false | (v124(constB33, 2) <=> b010(2)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.58 tff(34888,plain,
% 219.03/141.58 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b010(2))) <=> (v124(constB33, 2) <=> b010(2))),
% 219.03/141.58 inference(transitivity,[status(thm)],[34887, 34886])).
% 219.03/141.58 tff(34889,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | (v124(constB33, 2) <=> b010(2)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[34888])).
% 219.03/141.58 tff(34890,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | (v124(constB33, 2) <=> b010(2)))),
% 219.03/141.58 inference(transitivity,[status(thm)],[34889, 34885])).
% 219.03/141.58 tff(34891,plain,
% 219.03/141.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b010(2)))),
% 219.03/141.58 inference(quant_inst,[status(thm)],[])).
% 219.03/141.58 tff(34892,plain,
% 219.03/141.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | (v124(constB33, 2) <=> b010(2))),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[34891, 34890])).
% 219.03/141.58 tff(34893,plain,
% 219.03/141.58 ($false),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34892, 33651, 34884])).
% 219.03/141.58 tff(34894,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))) | (~v124(constB33, 2))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.58 tff(34895,plain,
% 219.03/141.58 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b010(B)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34894, 34881])).
% 219.03/141.58 tff(34896,plain,
% 219.03/141.58 (~v114(constB33)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[33672, 34895])).
% 219.03/141.58 tff(34897,plain,
% 219.03/141.58 (v118(constB33)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34480, 34896, 34316, 34719])).
% 219.03/141.58 tff(34898,plain,
% 219.03/141.58 (~(v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[31537, 34897])).
% 219.03/141.58 tff(34899,plain,
% 219.03/141.58 ((v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))) | v84(constB33, 2)),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34900,plain,
% 219.03/141.58 (v84(constB33, 2)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34899, 34898])).
% 219.03/141.58 tff(34901,assumption,(~(v84(constB33, 2) <=> v84(constB32, 2))), introduced(assumption)).
% 219.03/141.58 tff(34902,plain,
% 219.03/141.58 ($false),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[31604, 31484, 34901])).
% 219.03/141.58 tff(34903,plain,(v84(constB33, 2) <=> v84(constB32, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.58 tff(34904,plain,
% 219.03/141.58 ((~(v84(constB33, 2) <=> v84(constB32, 2))) | (~v84(constB33, 2)) | v84(constB32, 2)),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34905,plain,
% 219.03/141.58 ((~v84(constB33, 2)) | v84(constB32, 2)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34904, 34903])).
% 219.03/141.58 tff(34906,plain,
% 219.03/141.58 (v84(constB32, 2)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34905, 34900])).
% 219.03/141.58 tff(34907,assumption,(~v84(constB29, 1)), introduced(assumption)).
% 219.03/141.58 tff(34908,assumption,(~(v108(constB29) | v119(constB29))), introduced(assumption)).
% 219.03/141.58 tff(34909,plain,
% 219.03/141.58 ((v108(constB29) | v119(constB29)) | (~v108(constB29))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34910,plain,
% 219.03/141.58 (~v108(constB29)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34909, 34908])).
% 219.03/141.58 tff(34911,plain,
% 219.03/141.58 ((~(v108(constB29) <=> (v109(constB29) | v118(constB29)))) | v108(constB29) | (~(v109(constB29) | v118(constB29)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34912,plain,
% 219.03/141.58 ((~(v108(constB29) <=> (v109(constB29) | v118(constB29)))) | (~(v109(constB29) | v118(constB29)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34911, 34910])).
% 219.03/141.58 tff(34913,plain,
% 219.03/141.58 (~(v109(constB29) | v118(constB29))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34912, 29638])).
% 219.03/141.58 tff(34914,plain,
% 219.03/141.58 ((v109(constB29) | v118(constB29)) | (~v109(constB29))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34915,plain,
% 219.03/141.58 (~v109(constB29)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34914, 34913])).
% 219.03/141.58 tff(34916,plain,
% 219.03/141.58 ((~(v109(constB29) <=> (v110(constB29) | v117(constB29)))) | v109(constB29) | (~(v110(constB29) | v117(constB29)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34917,plain,
% 219.03/141.58 (~(v110(constB29) | v117(constB29))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34916, 34915, 29640])).
% 219.03/141.58 tff(34918,plain,
% 219.03/141.58 ((v110(constB29) | v117(constB29)) | (~v110(constB29))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34919,plain,
% 219.03/141.58 (~v110(constB29)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34918, 34917])).
% 219.03/141.58 tff(34920,plain,
% 219.03/141.58 ((~(v110(constB29) <=> (v111(constB29) | v116(constB29)))) | v110(constB29) | (~(v111(constB29) | v116(constB29)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34921,plain,
% 219.03/141.58 (~(v111(constB29) | v116(constB29))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34920, 34919, 29642])).
% 219.03/141.58 tff(34922,plain,
% 219.03/141.58 ((v111(constB29) | v116(constB29)) | (~v111(constB29))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34923,plain,
% 219.03/141.58 (~v111(constB29)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34922, 34921])).
% 219.03/141.58 tff(34924,plain,
% 219.03/141.58 ((~(v111(constB29) <=> (v112(constB29) | v115(constB29)))) | v111(constB29) | (~(v112(constB29) | v115(constB29)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34925,plain,
% 219.03/141.58 (~(v112(constB29) | v115(constB29))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34924, 34923, 29644])).
% 219.03/141.58 tff(34926,assumption,(~v84(constB29, 0)), introduced(assumption)).
% 219.03/141.58 tff(34927,plain,
% 219.03/141.58 ((~(v109(constB29) <=> (v110(constB29) | v117(constB29)))) | (~(v110(constB29) | v117(constB29)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34916, 34915])).
% 219.03/141.58 tff(34928,plain,
% 219.03/141.58 (~(v110(constB29) | v117(constB29))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34927, 29640])).
% 219.03/141.58 tff(34929,plain,
% 219.03/141.58 ((v110(constB29) | v117(constB29)) | (~v117(constB29))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34930,plain,
% 219.03/141.58 (~v117(constB29)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34929, 34928])).
% 219.03/141.58 tff(34931,plain,
% 219.03/141.58 ((~(v117(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))))) | v117(constB29) | (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34932,plain,
% 219.03/141.58 ((~(v117(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))))) | (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34931, 34930])).
% 219.03/141.58 tff(34933,plain,
% 219.03/141.58 (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34932, 30963])).
% 219.03/141.58 tff(34934,plain,
% 219.03/141.58 (~(v109(constB29) | v118(constB29))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34911, 34910, 29638])).
% 219.03/141.58 tff(34935,plain,
% 219.03/141.58 (~v109(constB29)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34914, 34934])).
% 219.03/141.58 tff(34936,plain,
% 219.03/141.58 (~(v110(constB29) | v117(constB29))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34916, 34935, 29640])).
% 219.03/141.58 tff(34937,plain,
% 219.03/141.58 (~v110(constB29)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34918, 34936])).
% 219.03/141.58 tff(34938,plain,
% 219.03/141.58 (~(v111(constB29) | v116(constB29))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34920, 34937, 29642])).
% 219.03/141.58 tff(34939,assumption,(v84(constB29, 1)), introduced(assumption)).
% 219.03/141.58 tff(34940,plain,
% 219.03/141.58 ((v108(constB29) | v119(constB29)) | (~v119(constB29))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34941,plain,
% 219.03/141.58 (~v119(constB29)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34940, 34908])).
% 219.03/141.58 tff(34942,plain,
% 219.03/141.58 ((~(v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1)))))) | v119(constB29) | (v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34943,plain,
% 219.03/141.58 (v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34942, 34941, 31066])).
% 219.03/141.58 tff(34944,assumption,(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))), introduced(assumption)).
% 219.03/141.58 tff(34945,assumption,(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))), introduced(assumption)).
% 219.03/141.58 tff(34946,plain,
% 219.03/141.58 ((~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1)))) | v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34947,plain,
% 219.03/141.58 (~v84(constB29, 2)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34946, 34926, 34939, 34945])).
% 219.03/141.58 tff(34948,plain,
% 219.03/141.58 ((~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))) | v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34949,plain,
% 219.03/141.58 ($false),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34948, 34947, 34926, 34939, 34944])).
% 219.03/141.58 tff(34950,plain,(v84(constB29, 0) | (~v84(constB29, 1)) | (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))) | (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.58 tff(34951,plain,
% 219.03/141.58 (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34950, 34943, 34939, 34926])).
% 219.03/141.58 tff(34952,plain,
% 219.03/141.58 ((~(v115(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))))) | v115(constB29) | (v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34953,plain,
% 219.03/141.58 (v115(constB29)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34952, 34951, 30910])).
% 219.03/141.58 tff(34954,plain,
% 219.03/141.58 ((v112(constB29) | v115(constB29)) | (~v115(constB29))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34955,plain,
% 219.03/141.58 (v112(constB29) | v115(constB29)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34954, 34953])).
% 219.03/141.58 tff(34956,plain,
% 219.03/141.58 (v111(constB29)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34924, 34955, 29644])).
% 219.03/141.58 tff(34957,plain,
% 219.03/141.58 ($false),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34922, 34956, 34938])).
% 219.03/141.58 tff(34958,plain,((v108(constB29) | v119(constB29)) | (~v84(constB29, 1)) | v84(constB29, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.58 tff(34959,plain,
% 219.03/141.58 (~v84(constB29, 1)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34958, 34926, 34908])).
% 219.03/141.58 tff(34960,plain,
% 219.03/141.58 ((~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))) | v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(34961,plain,
% 219.03/141.58 (~v84(constB29, 2)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34960, 34959, 34933, 34926])).
% 219.03/141.58 tff(34962,assumption,(~(v84(constB29, 0) <=> v84(constB28, 0))), introduced(assumption)).
% 219.03/141.58 tff(34963,plain,
% 219.03/141.58 ($false),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[30918, 29682, 34962])).
% 219.03/141.58 tff(34964,plain,(v84(constB29, 0) <=> v84(constB28, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.58 tff(34965,plain,
% 219.03/141.58 (v84(constB29, 0) | (~v84(constB28, 0))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[30932, 34964])).
% 219.03/141.58 tff(34966,plain,
% 219.03/141.58 (~v84(constB28, 0)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34965, 34926])).
% 219.03/141.58 tff(34967,assumption,(~(v84(constB29, 1) <=> v84(constB28, 1))), introduced(assumption)).
% 219.03/141.58 tff(34968,plain,
% 219.03/141.58 ($false),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[29690, 29682, 34967])).
% 219.03/141.58 tff(34969,plain,(v84(constB29, 1) <=> v84(constB28, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.58 tff(34970,plain,
% 219.03/141.58 (v84(constB29, 1) | (~v84(constB28, 1))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[30861, 34969])).
% 219.03/141.58 tff(34971,plain,
% 219.03/141.58 (~v84(constB28, 1)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34970, 34959])).
% 219.03/141.58 tff(34972,plain,
% 219.03/141.58 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B))))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(34973,plain,
% 219.03/141.58 ((v105(constB27) | ![B: $int] : ((v121(constB27, B) <=> v124(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B))))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(34974,plain,
% 219.03/141.58 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB27) | ![B: $int] : ((v121(constB27, B) <=> v124(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[34973])).
% 219.03/141.58 tff(34975,plain,
% 219.03/141.58 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB27) | ![B: $int] : ((v121(constB27, B) <=> v124(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B))))),
% 219.03/141.58 inference(transitivity,[status(thm)],[34974, 34972])).
% 219.03/141.58 tff(34976,plain,
% 219.03/141.58 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB27) | ![B: $int] : ((v121(constB27, B) <=> v124(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.58 inference(quant_inst,[status(thm)],[])).
% 219.03/141.58 tff(34977,plain,
% 219.03/141.58 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[34976, 34975])).
% 219.03/141.58 tff(34978,plain,
% 219.03/141.58 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34977, 1562, 30810])).
% 219.03/141.58 tff(34979,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 2) <=> v124(constB27, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 2) <=> v124(constB27, 2)))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(34980,plain,
% 219.03/141.58 (($false | $false | (v121(constB27, 2) <=> v124(constB27, 2))) <=> (v121(constB27, 2) <=> v124(constB27, 2))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(34981,plain,
% 219.03/141.58 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB27, 2) <=> v124(constB27, 2))) <=> ($false | $false | (v121(constB27, 2) <=> v124(constB27, 2)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.58 tff(34982,plain,
% 219.03/141.58 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB27, 2) <=> v124(constB27, 2))) <=> (v121(constB27, 2) <=> v124(constB27, 2))),
% 219.03/141.58 inference(transitivity,[status(thm)],[34981, 34980])).
% 219.03/141.58 tff(34983,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB27, 2) <=> v124(constB27, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 2) <=> v124(constB27, 2)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[34982])).
% 219.03/141.58 tff(34984,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB27, 2) <=> v124(constB27, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 2) <=> v124(constB27, 2)))),
% 219.03/141.58 inference(transitivity,[status(thm)],[34983, 34979])).
% 219.03/141.58 tff(34985,plain,
% 219.03/141.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB27, 2) <=> v124(constB27, 2)))),
% 219.03/141.58 inference(quant_inst,[status(thm)],[])).
% 219.03/141.58 tff(34986,plain,
% 219.03/141.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 2) <=> v124(constB27, 2))),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[34985, 34984])).
% 219.03/141.58 tff(34987,plain,
% 219.03/141.58 (v121(constB27, 2) <=> v124(constB27, 2)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34986, 34978])).
% 219.03/141.58 tff(34988,plain,
% 219.03/141.58 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B))))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(34989,plain,
% 219.03/141.58 (((~nextState(constB27, constB28)) | ![B: $int] : ((v123(constB28, B) <=> v121(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B))))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(34990,plain,
% 219.03/141.58 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB27, constB28)) | ![B: $int] : ((v123(constB28, B) <=> v121(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[34989])).
% 219.03/141.58 tff(34991,plain,
% 219.03/141.58 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB27, constB28)) | ![B: $int] : ((v123(constB28, B) <=> v121(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B))))),
% 219.03/141.58 inference(transitivity,[status(thm)],[34990, 34988])).
% 219.03/141.58 tff(34992,plain,
% 219.03/141.58 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB27, constB28)) | ![B: $int] : ((v123(constB28, B) <=> v121(constB27, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.58 inference(quant_inst,[status(thm)],[])).
% 219.03/141.58 tff(34993,plain,
% 219.03/141.58 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB27, constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[34992, 34991])).
% 219.03/141.58 tff(34994,plain,
% 219.03/141.58 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[34993, 30821, 1527])).
% 219.03/141.58 tff(34995,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 2) <=> v121(constB27, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 2) <=> v121(constB27, 2)))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(34996,plain,
% 219.03/141.58 (($false | $false | (v123(constB28, 2) <=> v121(constB27, 2))) <=> (v123(constB28, 2) <=> v121(constB27, 2))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(34997,plain,
% 219.03/141.58 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB28, 2) <=> v121(constB27, 2))) <=> ($false | $false | (v123(constB28, 2) <=> v121(constB27, 2)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.58 tff(34998,plain,
% 219.03/141.58 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB28, 2) <=> v121(constB27, 2))) <=> (v123(constB28, 2) <=> v121(constB27, 2))),
% 219.03/141.58 inference(transitivity,[status(thm)],[34997, 34996])).
% 219.03/141.58 tff(34999,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB28, 2) <=> v121(constB27, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 2) <=> v121(constB27, 2)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[34998])).
% 219.03/141.58 tff(35000,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB28, 2) <=> v121(constB27, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 2) <=> v121(constB27, 2)))),
% 219.03/141.58 inference(transitivity,[status(thm)],[34999, 34995])).
% 219.03/141.58 tff(35001,plain,
% 219.03/141.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB28, 2) <=> v121(constB27, 2)))),
% 219.03/141.58 inference(quant_inst,[status(thm)],[])).
% 219.03/141.58 tff(35002,plain,
% 219.03/141.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 2) <=> v121(constB27, 2))),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[35001, 35000])).
% 219.03/141.58 tff(35003,plain,
% 219.03/141.58 (v123(constB28, 2) <=> v121(constB27, 2)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35002, 34994])).
% 219.03/141.58 tff(35004,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 0) <=> v124(constB27, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 0) <=> v124(constB27, 0)))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35005,plain,
% 219.03/141.58 (($false | $false | (v121(constB27, 0) <=> v124(constB27, 0))) <=> (v121(constB27, 0) <=> v124(constB27, 0))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35006,plain,
% 219.03/141.58 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB27, 0) <=> v124(constB27, 0))) <=> ($false | $false | (v121(constB27, 0) <=> v124(constB27, 0)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.58 tff(35007,plain,
% 219.03/141.58 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB27, 0) <=> v124(constB27, 0))) <=> (v121(constB27, 0) <=> v124(constB27, 0))),
% 219.03/141.58 inference(transitivity,[status(thm)],[35006, 35005])).
% 219.03/141.58 tff(35008,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB27, 0) <=> v124(constB27, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 0) <=> v124(constB27, 0)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[35007])).
% 219.03/141.58 tff(35009,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB27, 0) <=> v124(constB27, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 0) <=> v124(constB27, 0)))),
% 219.03/141.58 inference(transitivity,[status(thm)],[35008, 35004])).
% 219.03/141.58 tff(35010,plain,
% 219.03/141.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB27, 0) <=> v124(constB27, 0)))),
% 219.03/141.58 inference(quant_inst,[status(thm)],[])).
% 219.03/141.58 tff(35011,plain,
% 219.03/141.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 0) <=> v124(constB27, 0))),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[35010, 35009])).
% 219.03/141.58 tff(35012,plain,
% 219.03/141.58 (v121(constB27, 0) <=> v124(constB27, 0)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35011, 34978])).
% 219.03/141.58 tff(35013,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 0) <=> v121(constB27, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 0) <=> v121(constB27, 0)))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35014,plain,
% 219.03/141.58 (($false | $false | (v123(constB28, 0) <=> v121(constB27, 0))) <=> (v123(constB28, 0) <=> v121(constB27, 0))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35015,plain,
% 219.03/141.58 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB28, 0) <=> v121(constB27, 0))) <=> ($false | $false | (v123(constB28, 0) <=> v121(constB27, 0)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.58 tff(35016,plain,
% 219.03/141.58 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB28, 0) <=> v121(constB27, 0))) <=> (v123(constB28, 0) <=> v121(constB27, 0))),
% 219.03/141.58 inference(transitivity,[status(thm)],[35015, 35014])).
% 219.03/141.58 tff(35017,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB28, 0) <=> v121(constB27, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 0) <=> v121(constB27, 0)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[35016])).
% 219.03/141.58 tff(35018,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB28, 0) <=> v121(constB27, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 0) <=> v121(constB27, 0)))),
% 219.03/141.58 inference(transitivity,[status(thm)],[35017, 35013])).
% 219.03/141.58 tff(35019,plain,
% 219.03/141.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB28, 0) <=> v121(constB27, 0)))),
% 219.03/141.58 inference(quant_inst,[status(thm)],[])).
% 219.03/141.58 tff(35020,plain,
% 219.03/141.58 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 0) <=> v121(constB27, 0))),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[35019, 35018])).
% 219.03/141.58 tff(35021,plain,
% 219.03/141.58 (v123(constB28, 0) <=> v121(constB27, 0)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35020, 34994])).
% 219.03/141.58 tff(35022,assumption,(v113(constB27)), introduced(assumption)).
% 219.03/141.58 tff(35023,plain,
% 219.03/141.58 ((v113(constB27) | v114(constB27)) | (~v113(constB27))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35024,plain,
% 219.03/141.58 (v113(constB27) | v114(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35023, 35022])).
% 219.03/141.58 tff(35025,assumption,(v113(constB27) | v114(constB27)), introduced(assumption)).
% 219.03/141.58 tff(35026,plain,
% 219.03/141.58 ((~(v112(constB27) <=> (v113(constB27) | v114(constB27)))) | v112(constB27) | (~(v113(constB27) | v114(constB27)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35027,plain,
% 219.03/141.58 ((~(v112(constB27) <=> (v113(constB27) | v114(constB27)))) | v112(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35026, 35025])).
% 219.03/141.58 tff(35028,plain,
% 219.03/141.58 (v112(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35027, 30685])).
% 219.03/141.58 tff(35029,plain,
% 219.03/141.58 ((v112(constB27) | v115(constB27)) | (~v112(constB27))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35030,plain,
% 219.03/141.58 (v112(constB27) | v115(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35029, 35028])).
% 219.03/141.58 tff(35031,assumption,(~v110(constB27)), introduced(assumption)).
% 219.03/141.58 tff(35032,plain,
% 219.03/141.58 ((~(v110(constB27) <=> (v111(constB27) | v116(constB27)))) | v110(constB27) | (~(v111(constB27) | v116(constB27)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35033,plain,
% 219.03/141.58 ((~(v110(constB27) <=> (v111(constB27) | v116(constB27)))) | (~(v111(constB27) | v116(constB27)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35032, 35031])).
% 219.03/141.58 tff(35034,plain,
% 219.03/141.58 (~(v111(constB27) | v116(constB27))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35033, 30681])).
% 219.03/141.58 tff(35035,plain,
% 219.03/141.58 ((v111(constB27) | v116(constB27)) | (~v111(constB27))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35036,plain,
% 219.03/141.58 (~v111(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35035, 35034])).
% 219.03/141.58 tff(35037,plain,
% 219.03/141.58 ((~(v111(constB27) <=> (v112(constB27) | v115(constB27)))) | v111(constB27) | (~(v112(constB27) | v115(constB27)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35038,plain,
% 219.03/141.58 ($false),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35037, 35036, 35030, 30683])).
% 219.03/141.58 tff(35039,plain,((~(v113(constB27) | v114(constB27))) | v110(constB27)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.58 tff(35040,plain,
% 219.03/141.58 (v110(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35039, 35024])).
% 219.03/141.58 tff(35041,plain,
% 219.03/141.58 ((v110(constB27) | v117(constB27)) | (~v110(constB27))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35042,plain,
% 219.03/141.58 (v110(constB27) | v117(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35041, 35040])).
% 219.03/141.58 tff(35043,plain,
% 219.03/141.58 (v109(constB27) | (~(v110(constB27) | v117(constB27)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[31029, 30780])).
% 219.03/141.58 tff(35044,plain,
% 219.03/141.58 (v109(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35043, 35042])).
% 219.03/141.58 tff(35045,plain,
% 219.03/141.58 (v109(constB27) | v118(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[31027, 35044])).
% 219.03/141.58 tff(35046,plain,
% 219.03/141.58 (v108(constB27) | (~(v109(constB27) | v118(constB27)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[31024, 30789])).
% 219.03/141.58 tff(35047,plain,
% 219.03/141.58 (v108(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35046, 35045])).
% 219.03/141.58 tff(35048,plain,
% 219.03/141.58 (v108(constB27) | v119(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[31022, 35047])).
% 219.03/141.58 tff(35049,plain,
% 219.03/141.58 ((~(v107(constB27) <=> (v108(constB27) | v119(constB27)))) | v107(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[31019, 35048])).
% 219.03/141.58 tff(35050,plain,
% 219.03/141.58 (v107(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35049, 30610])).
% 219.03/141.58 tff(35051,plain,
% 219.03/141.58 (~((~v107(constB27)) | (~v120(constB27)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[31017, 35050])).
% 219.03/141.58 tff(35052,plain,
% 219.03/141.58 (v106(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[31009, 35051])).
% 219.03/141.58 tff(35053,plain,
% 219.03/141.58 ((v105(constB27) | v106(constB27)) | (~v106(constB27))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35054,plain,
% 219.03/141.58 (v105(constB27) | v106(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35053, 35052])).
% 219.03/141.58 tff(35055,plain,
% 219.03/141.58 ((~(v102(constB27) <=> (v105(constB27) | v106(constB27)))) | v102(constB27) | (~(v105(constB27) | v106(constB27)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35056,plain,
% 219.03/141.58 (v102(constB27) | (~(v105(constB27) | v106(constB27)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35055, 30815])).
% 219.03/141.58 tff(35057,plain,
% 219.03/141.58 (v102(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35056, 35054])).
% 219.03/141.58 tff(35058,plain,
% 219.03/141.58 ((~(v104(constB28) <=> v102(constB27))) | v104(constB28) | (~v102(constB27))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35059,plain,
% 219.03/141.58 (v104(constB28) | (~v102(constB27))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35058, 30825])).
% 219.03/141.58 tff(35060,plain,
% 219.03/141.58 (v104(constB28)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35059, 35057])).
% 219.03/141.58 tff(35061,plain,
% 219.03/141.58 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35062,plain,
% 219.03/141.58 (((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28)))))) <=> ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35063,plain,
% 219.03/141.58 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28)))))))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[35062])).
% 219.03/141.58 tff(35064,plain,
% 219.03/141.58 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))),
% 219.03/141.58 inference(transitivity,[status(thm)],[35063, 35061])).
% 219.03/141.58 tff(35065,plain,
% 219.03/141.58 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28))))))),
% 219.03/141.58 inference(quant_inst,[status(thm)],[])).
% 219.03/141.58 tff(35066,plain,
% 219.03/141.58 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28)))))),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[35065, 35064])).
% 219.03/141.58 tff(35067,plain,
% 219.03/141.58 (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35066, 30821, 37])).
% 219.03/141.58 tff(35068,plain,
% 219.03/141.58 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28)))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35069,plain,
% 219.03/141.58 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28)))),
% 219.03/141.58 inference(quant_inst,[status(thm)],[])).
% 219.03/141.58 tff(35070,plain,
% 219.03/141.58 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28))),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[35069, 35068])).
% 219.03/141.58 tff(35071,plain,
% 219.03/141.58 ((~v96(constB28)) <=> v98(constB28)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35070, 30821, 54])).
% 219.03/141.58 tff(35072,plain,
% 219.03/141.58 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27)))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35073,plain,
% 219.03/141.58 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27)))),
% 219.03/141.58 inference(quant_inst,[status(thm)],[])).
% 219.03/141.58 tff(35074,plain,
% 219.03/141.58 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27))),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[35073, 35072])).
% 219.03/141.58 tff(35075,plain,
% 219.03/141.58 (v98(constB28) <=> v1(constB27)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35074, 30821, 68])).
% 219.03/141.58 tff(35076,plain,
% 219.03/141.58 ((~(v98(constB28) <=> v1(constB27))) | (~v98(constB28)) | v1(constB27)),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35077,plain,
% 219.03/141.58 ((~(v98(constB28) <=> v1(constB27))) | (~v98(constB28))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35076, 30578])).
% 219.03/141.58 tff(35078,plain,
% 219.03/141.58 (~v98(constB28)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35077, 35075])).
% 219.03/141.58 tff(35079,plain,
% 219.03/141.58 ((~((~v96(constB28)) <=> v98(constB28))) | v96(constB28) | v98(constB28)),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35080,plain,
% 219.03/141.58 (v96(constB28)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35079, 35078, 35071])).
% 219.03/141.58 tff(35081,plain,
% 219.03/141.58 (v1(constB28) <=> v1(constB28)),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35082,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28')).
% 219.03/141.58 tff(35083,plain,
% 219.03/141.58 (v1(constB28)),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[35082, 35081])).
% 219.03/141.58 tff(35084,plain,
% 219.03/141.58 ((~((~v1(constB28)) | (~v96(constB28)))) | (~v1(constB28)) | (~v96(constB28))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35085,plain,
% 219.03/141.58 ((~((~v1(constB28)) | (~v96(constB28)))) | (~v96(constB28))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35084, 35083])).
% 219.03/141.58 tff(35086,plain,
% 219.03/141.58 (~((~v1(constB28)) | (~v96(constB28)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35085, 35080])).
% 219.03/141.58 tff(35087,plain,
% 219.03/141.58 ((~(v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28)))))) | v95(constB28) | ((~v1(constB28)) | (~v96(constB28)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35088,plain,
% 219.03/141.58 (v95(constB28)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35087, 35086, 35067])).
% 219.03/141.58 tff(35089,plain,
% 219.03/141.58 ((~((~v95(constB28)) | (~v104(constB28)))) | (~v95(constB28)) | (~v104(constB28))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35090,plain,
% 219.03/141.58 ((~((~v95(constB28)) | (~v104(constB28)))) | (~v104(constB28))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35089, 35088])).
% 219.03/141.58 tff(35091,plain,
% 219.03/141.58 (~((~v95(constB28)) | (~v104(constB28)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35090, 35060])).
% 219.03/141.58 tff(35092,plain,
% 219.03/141.58 ((~(v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28)))))) | v94(constB28) | ((~v95(constB28)) | (~v104(constB28)))),
% 219.03/141.58 inference(tautology,[status(thm)],[])).
% 219.03/141.58 tff(35093,plain,
% 219.03/141.58 (v94(constB28) | ((~v95(constB28)) | (~v104(constB28)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35092, 30834])).
% 219.03/141.58 tff(35094,plain,
% 219.03/141.58 (v94(constB28)),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35093, 35091])).
% 219.03/141.58 tff(35095,plain,
% 219.03/141.58 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B))))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35096,plain,
% 219.03/141.58 (((~v94(constB28)) | ![B: $int] : ((v84(constB28, B) <=> v123(constB28, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B))))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35097,plain,
% 219.03/141.58 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB28)) | ![B: $int] : ((v84(constB28, B) <=> v123(constB28, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[35096])).
% 219.03/141.58 tff(35098,plain,
% 219.03/141.58 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB28)) | ![B: $int] : ((v84(constB28, B) <=> v123(constB28, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B))))),
% 219.03/141.58 inference(transitivity,[status(thm)],[35097, 35095])).
% 219.03/141.58 tff(35099,plain,
% 219.03/141.58 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB28)) | ![B: $int] : ((v84(constB28, B) <=> v123(constB28, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.58 inference(quant_inst,[status(thm)],[])).
% 219.03/141.58 tff(35100,plain,
% 219.03/141.58 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.03/141.58 inference(modus_ponens,[status(thm)],[35099, 35098])).
% 219.03/141.58 tff(35101,plain,
% 219.03/141.58 ((~v94(constB28)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35100, 1491])).
% 219.03/141.58 tff(35102,plain,
% 219.03/141.58 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.03/141.58 inference(unit_resolution,[status(thm)],[35101, 35094])).
% 219.03/141.58 tff(35103,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 0) <=> v123(constB28, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 0) <=> v123(constB28, 0)))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35104,plain,
% 219.03/141.58 (($false | $false | (v84(constB28, 0) <=> v123(constB28, 0))) <=> (v84(constB28, 0) <=> v123(constB28, 0))),
% 219.03/141.58 inference(rewrite,[status(thm)],[])).
% 219.03/141.58 tff(35105,plain,
% 219.03/141.58 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB28, 0) <=> v123(constB28, 0))) <=> ($false | $false | (v84(constB28, 0) <=> v123(constB28, 0)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.58 tff(35106,plain,
% 219.03/141.58 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB28, 0) <=> v123(constB28, 0))) <=> (v84(constB28, 0) <=> v123(constB28, 0))),
% 219.03/141.58 inference(transitivity,[status(thm)],[35105, 35104])).
% 219.03/141.58 tff(35107,plain,
% 219.03/141.58 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB28, 0) <=> v123(constB28, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 0) <=> v123(constB28, 0)))),
% 219.03/141.58 inference(monotonicity,[status(thm)],[35106])).
% 219.03/141.59 tff(35108,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB28, 0) <=> v123(constB28, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 0) <=> v123(constB28, 0)))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35107, 35103])).
% 219.03/141.59 tff(35109,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB28, 0) <=> v123(constB28, 0)))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35110,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 0) <=> v123(constB28, 0))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35109, 35108])).
% 219.03/141.59 tff(35111,plain,
% 219.03/141.59 (v84(constB28, 0) <=> v123(constB28, 0)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35110, 35102])).
% 219.03/141.59 tff(35112,plain,
% 219.03/141.59 ((~(v84(constB28, 0) <=> v123(constB28, 0))) | v84(constB28, 0) | (~v123(constB28, 0))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35113,plain,
% 219.03/141.59 ((~(v84(constB28, 0) <=> v123(constB28, 0))) | (~v123(constB28, 0))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35112, 30993])).
% 219.03/141.59 tff(35114,plain,
% 219.03/141.59 (~v123(constB28, 0)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35113, 35111])).
% 219.03/141.59 tff(35115,plain,
% 219.03/141.59 ((~(v123(constB28, 0) <=> v121(constB27, 0))) | v123(constB28, 0) | (~v121(constB27, 0))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35116,plain,
% 219.03/141.59 ((~(v123(constB28, 0) <=> v121(constB27, 0))) | (~v121(constB27, 0))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35115, 35114])).
% 219.03/141.59 tff(35117,plain,
% 219.03/141.59 (~v121(constB27, 0)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35116, 35021])).
% 219.03/141.59 tff(35118,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))), introduced(assumption)).
% 219.03/141.59 tff(35119,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B))))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35120,plain,
% 219.03/141.59 (((~v113(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B))))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35121,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35120])).
% 219.03/141.59 tff(35122,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B))))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35121, 35119])).
% 219.03/141.59 tff(35123,plain,
% 219.03/141.59 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35124,plain,
% 219.03/141.59 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35123, 35122])).
% 219.03/141.59 tff(35125,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35124, 2117, 35118, 35022])).
% 219.03/141.59 tff(35126,plain,((~v113(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35127,plain,
% 219.03/141.59 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35126, 35022])).
% 219.03/141.59 tff(35128,assumption,(~v124(constB27, 0)), introduced(assumption)).
% 219.03/141.59 tff(35129,plain,
% 219.03/141.59 ((~(v124(constB27, 0) <=> b001(0))) | v124(constB27, 0) | (~b001(0))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35130,plain,
% 219.03/141.59 (~(v124(constB27, 0) <=> b001(0))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35129, 1940, 35128])).
% 219.03/141.59 tff(35131,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))), introduced(assumption)).
% 219.03/141.59 tff(35132,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 0) <=> b001(0)))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35133,plain,
% 219.03/141.59 (($false | $false | (v124(constB27, 0) <=> b001(0))) <=> (v124(constB27, 0) <=> b001(0))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35134,plain,
% 219.03/141.59 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b001(0))) <=> ($false | $false | (v124(constB27, 0) <=> b001(0)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.59 tff(35135,plain,
% 219.03/141.59 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b001(0))) <=> (v124(constB27, 0) <=> b001(0))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35134, 35133])).
% 219.03/141.59 tff(35136,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 0) <=> b001(0)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35135])).
% 219.03/141.59 tff(35137,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 0) <=> b001(0)))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35136, 35132])).
% 219.03/141.59 tff(35138,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b001(0)))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35139,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 0) <=> b001(0))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35138, 35137])).
% 219.03/141.59 tff(35140,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35139, 35131, 35130])).
% 219.03/141.59 tff(35141,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | v124(constB27, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35142,plain,
% 219.03/141.59 (v124(constB27, 0)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35141, 35127])).
% 219.03/141.59 tff(35143,plain,
% 219.03/141.59 ((~(v121(constB27, 0) <=> v124(constB27, 0))) | v121(constB27, 0) | (~v124(constB27, 0))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35144,plain,
% 219.03/141.59 ((~(v121(constB27, 0) <=> v124(constB27, 0))) | v121(constB27, 0)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35143, 35142])).
% 219.03/141.59 tff(35145,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35144, 35117, 35012])).
% 219.03/141.59 tff(35146,plain,((~v113(constB27)) | v84(constB28, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35147,plain,
% 219.03/141.59 (~v113(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35146, 30993])).
% 219.03/141.59 tff(35148,plain,
% 219.03/141.59 ((~(v113(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))))) | v113(constB27) | (v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35149,plain,
% 219.03/141.59 (v113(constB27) | (v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35148, 30691])).
% 219.03/141.59 tff(35150,plain,
% 219.03/141.59 (v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35149, 35147])).
% 219.03/141.59 tff(35151,assumption,(~v102(constB27)), introduced(assumption)).
% 219.03/141.59 tff(35152,plain,
% 219.03/141.59 (~(v105(constB27) | v106(constB27))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35056, 35151])).
% 219.03/141.59 tff(35153,plain,
% 219.03/141.59 (~v106(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35053, 35152])).
% 219.03/141.59 tff(35154,plain,
% 219.03/141.59 ((~v107(constB27)) | (~v120(constB27))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31009, 35153])).
% 219.03/141.59 tff(35155,plain,
% 219.03/141.59 (~v107(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31017, 35154])).
% 219.03/141.59 tff(35156,plain,
% 219.03/141.59 (~(v108(constB27) | v119(constB27))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31019, 35155, 30610])).
% 219.03/141.59 tff(35157,plain,
% 219.03/141.59 (~v108(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31022, 35156])).
% 219.03/141.59 tff(35158,plain,
% 219.03/141.59 (~(v109(constB27) | v118(constB27))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35046, 35157])).
% 219.03/141.59 tff(35159,plain,
% 219.03/141.59 (~v109(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31027, 35158])).
% 219.03/141.59 tff(35160,plain,
% 219.03/141.59 (~(v110(constB27) | v117(constB27))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35043, 35159])).
% 219.03/141.59 tff(35161,plain,
% 219.03/141.59 (~v117(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31005, 35160])).
% 219.03/141.59 tff(35162,plain,
% 219.03/141.59 (~v104(constB28)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[30827, 35151])).
% 219.03/141.59 tff(35163,plain,
% 219.03/141.59 ((~v95(constB28)) | (~v104(constB28))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[30829, 35162])).
% 219.03/141.59 tff(35164,plain,
% 219.03/141.59 (~v94(constB28)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[30836, 35163])).
% 219.03/141.59 tff(35165,plain,
% 219.03/141.59 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[30844, 35164])).
% 219.03/141.59 tff(35166,plain,
% 219.03/141.59 (v84(constB28, 1) <=> v84(constB27, 1)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[30857, 35165])).
% 219.03/141.59 tff(35167,plain,
% 219.03/141.59 (~v84(constB27, 1)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[30859, 35166, 30997])).
% 219.03/141.59 tff(35168,assumption,(~(v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))))), introduced(assumption)).
% 219.03/141.59 tff(35169,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[30700, 298, 35168])).
% 219.03/141.59 tff(35170,plain,(v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35171,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 1) <=> v121(constB27, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 1) <=> v121(constB27, 1)))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35172,plain,
% 219.03/141.59 (($false | $false | (v123(constB28, 1) <=> v121(constB27, 1))) <=> (v123(constB28, 1) <=> v121(constB27, 1))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35173,plain,
% 219.03/141.59 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB28, 1) <=> v121(constB27, 1))) <=> ($false | $false | (v123(constB28, 1) <=> v121(constB27, 1)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.59 tff(35174,plain,
% 219.03/141.59 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB28, 1) <=> v121(constB27, 1))) <=> (v123(constB28, 1) <=> v121(constB27, 1))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35173, 35172])).
% 219.03/141.59 tff(35175,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB28, 1) <=> v121(constB27, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 1) <=> v121(constB27, 1)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35174])).
% 219.03/141.59 tff(35176,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB28, 1) <=> v121(constB27, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 1) <=> v121(constB27, 1)))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35175, 35171])).
% 219.03/141.59 tff(35177,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB28, 1) <=> v121(constB27, 1)))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35178,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB28, B) <=> v121(constB27, B)))) | (v123(constB28, 1) <=> v121(constB27, 1))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35177, 35176])).
% 219.03/141.59 tff(35179,plain,
% 219.03/141.59 (v123(constB28, 1) <=> v121(constB27, 1)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35178, 34994])).
% 219.03/141.59 tff(35180,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 1) <=> v124(constB27, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 1) <=> v124(constB27, 1)))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35181,plain,
% 219.03/141.59 (($false | $false | (v121(constB27, 1) <=> v124(constB27, 1))) <=> (v121(constB27, 1) <=> v124(constB27, 1))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35182,plain,
% 219.03/141.59 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB27, 1) <=> v124(constB27, 1))) <=> ($false | $false | (v121(constB27, 1) <=> v124(constB27, 1)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.59 tff(35183,plain,
% 219.03/141.59 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB27, 1) <=> v124(constB27, 1))) <=> (v121(constB27, 1) <=> v124(constB27, 1))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35182, 35181])).
% 219.03/141.59 tff(35184,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB27, 1) <=> v124(constB27, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 1) <=> v124(constB27, 1)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35183])).
% 219.03/141.59 tff(35185,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB27, 1) <=> v124(constB27, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 1) <=> v124(constB27, 1)))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35184, 35180])).
% 219.03/141.59 tff(35186,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB27, 1) <=> v124(constB27, 1)))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35187,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB27, B) <=> v124(constB27, B)))) | (v121(constB27, 1) <=> v124(constB27, 1))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35186, 35185])).
% 219.03/141.59 tff(35188,plain,
% 219.03/141.59 (v121(constB27, 1) <=> v124(constB27, 1)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35187, 34978])).
% 219.03/141.59 tff(35189,assumption,(v114(constB27)), introduced(assumption)).
% 219.03/141.59 tff(35190,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B))))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35191,plain,
% 219.03/141.59 (((~v114(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B))))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35192,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35191])).
% 219.03/141.59 tff(35193,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B))))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35192, 35190])).
% 219.03/141.59 tff(35194,plain,
% 219.03/141.59 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35195,plain,
% 219.03/141.59 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35194, 35193])).
% 219.03/141.59 tff(35196,plain,
% 219.03/141.59 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35195, 2418, 35189])).
% 219.03/141.59 tff(35197,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | (v124(constB27, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | (v124(constB27, 1) <=> b010(1)))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35198,plain,
% 219.03/141.59 (($false | $false | (v124(constB27, 1) <=> b010(1))) <=> (v124(constB27, 1) <=> b010(1))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35199,plain,
% 219.03/141.59 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b010(1))) <=> ($false | $false | (v124(constB27, 1) <=> b010(1)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.59 tff(35200,plain,
% 219.03/141.59 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b010(1))) <=> (v124(constB27, 1) <=> b010(1))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35199, 35198])).
% 219.03/141.59 tff(35201,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | (v124(constB27, 1) <=> b010(1)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35200])).
% 219.03/141.59 tff(35202,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | (v124(constB27, 1) <=> b010(1)))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35201, 35197])).
% 219.03/141.59 tff(35203,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b010(1)))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35204,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | (v124(constB27, 1) <=> b010(1))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35203, 35202])).
% 219.03/141.59 tff(35205,plain,
% 219.03/141.59 (v124(constB27, 1) <=> b010(1)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35204, 35196])).
% 219.03/141.59 tff(35206,plain,
% 219.03/141.59 ((~(v124(constB27, 1) <=> b010(1))) | v124(constB27, 1) | (~b010(1))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35207,plain,
% 219.03/141.59 ((~(v124(constB27, 1) <=> b010(1))) | v124(constB27, 1)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35206, 2513])).
% 219.03/141.59 tff(35208,plain,
% 219.03/141.59 (v124(constB27, 1)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35207, 35205])).
% 219.03/141.59 tff(35209,plain,
% 219.03/141.59 ((~(v121(constB27, 1) <=> v124(constB27, 1))) | v121(constB27, 1) | (~v124(constB27, 1))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35210,plain,
% 219.03/141.59 ((~(v121(constB27, 1) <=> v124(constB27, 1))) | v121(constB27, 1)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35209, 35208])).
% 219.03/141.59 tff(35211,plain,
% 219.03/141.59 (v121(constB27, 1)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35210, 35188])).
% 219.03/141.59 tff(35212,plain,
% 219.03/141.59 ((v113(constB27) | v114(constB27)) | (~v114(constB27))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35213,plain,
% 219.03/141.59 (v113(constB27) | v114(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35212, 35189])).
% 219.03/141.59 tff(35214,plain,
% 219.03/141.59 (v110(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35039, 35213])).
% 219.03/141.59 tff(35215,plain,
% 219.03/141.59 (v110(constB27) | v117(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35041, 35214])).
% 219.03/141.59 tff(35216,plain,
% 219.03/141.59 (v109(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35043, 35215])).
% 219.03/141.59 tff(35217,plain,
% 219.03/141.59 (v109(constB27) | v118(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31027, 35216])).
% 219.03/141.59 tff(35218,plain,
% 219.03/141.59 (v108(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35046, 35217])).
% 219.03/141.59 tff(35219,plain,
% 219.03/141.59 (v108(constB27) | v119(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31022, 35218])).
% 219.03/141.59 tff(35220,plain,
% 219.03/141.59 ((~(v107(constB27) <=> (v108(constB27) | v119(constB27)))) | v107(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31019, 35219])).
% 219.03/141.59 tff(35221,plain,
% 219.03/141.59 (v107(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35220, 30610])).
% 219.03/141.59 tff(35222,plain,
% 219.03/141.59 (~((~v107(constB27)) | (~v120(constB27)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31017, 35221])).
% 219.03/141.59 tff(35223,plain,
% 219.03/141.59 (v106(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31009, 35222])).
% 219.03/141.59 tff(35224,plain,
% 219.03/141.59 (v105(constB27) | v106(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35053, 35223])).
% 219.03/141.59 tff(35225,plain,
% 219.03/141.59 (v102(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35056, 35224])).
% 219.03/141.59 tff(35226,plain,
% 219.03/141.59 (v104(constB28)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35059, 35225])).
% 219.03/141.59 tff(35227,plain,
% 219.03/141.59 (~((~v95(constB28)) | (~v104(constB28)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35090, 35226])).
% 219.03/141.59 tff(35228,plain,
% 219.03/141.59 (v94(constB28)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35093, 35227])).
% 219.03/141.59 tff(35229,plain,
% 219.03/141.59 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35101, 35228])).
% 219.03/141.59 tff(35230,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 1) <=> v123(constB28, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 1) <=> v123(constB28, 1)))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35231,plain,
% 219.03/141.59 (($false | $false | (v84(constB28, 1) <=> v123(constB28, 1))) <=> (v84(constB28, 1) <=> v123(constB28, 1))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35232,plain,
% 219.03/141.59 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB28, 1) <=> v123(constB28, 1))) <=> ($false | $false | (v84(constB28, 1) <=> v123(constB28, 1)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.59 tff(35233,plain,
% 219.03/141.59 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB28, 1) <=> v123(constB28, 1))) <=> (v84(constB28, 1) <=> v123(constB28, 1))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35232, 35231])).
% 219.03/141.59 tff(35234,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB28, 1) <=> v123(constB28, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 1) <=> v123(constB28, 1)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35233])).
% 219.03/141.59 tff(35235,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB28, 1) <=> v123(constB28, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 1) <=> v123(constB28, 1)))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35234, 35230])).
% 219.03/141.59 tff(35236,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB28, 1) <=> v123(constB28, 1)))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35237,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 1) <=> v123(constB28, 1))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35236, 35235])).
% 219.03/141.59 tff(35238,plain,
% 219.03/141.59 (v84(constB28, 1) <=> v123(constB28, 1)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35237, 35229])).
% 219.03/141.59 tff(35239,plain,
% 219.03/141.59 ((~(v84(constB28, 1) <=> v123(constB28, 1))) | v84(constB28, 1) | (~v123(constB28, 1))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35240,plain,
% 219.03/141.59 ((~(v84(constB28, 1) <=> v123(constB28, 1))) | (~v123(constB28, 1))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35239, 30997])).
% 219.03/141.59 tff(35241,plain,
% 219.03/141.59 (~v123(constB28, 1)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35240, 35238])).
% 219.03/141.59 tff(35242,plain,
% 219.03/141.59 ((~(v123(constB28, 1) <=> v121(constB27, 1))) | v123(constB28, 1) | (~v121(constB27, 1))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35243,plain,
% 219.03/141.59 ((~(v123(constB28, 1) <=> v121(constB27, 1))) | (~v121(constB27, 1))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35242, 35241])).
% 219.03/141.59 tff(35244,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35243, 35211, 35179])).
% 219.03/141.59 tff(35245,plain,((~v114(constB27)) | v84(constB28, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35246,plain,
% 219.03/141.59 (~v114(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35245, 30997])).
% 219.03/141.59 tff(35247,plain,
% 219.03/141.59 ((~(v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))))) | v114(constB27) | (v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35248,plain,
% 219.03/141.59 (v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35247, 35246, 35170])).
% 219.03/141.59 tff(35249,assumption,(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)), introduced(assumption)).
% 219.03/141.59 tff(35250,assumption,(~(v118(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))))), introduced(assumption)).
% 219.03/141.59 tff(35251,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[30659, 394, 35250])).
% 219.03/141.59 tff(35252,plain,(v118(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35253,plain,
% 219.03/141.59 ((v109(constB27) | v118(constB27)) | (~v118(constB27))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35254,plain,
% 219.03/141.59 (~v118(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35253, 35158])).
% 219.03/141.59 tff(35255,plain,
% 219.03/141.59 ((~(v118(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))))) | v118(constB27) | (v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35256,plain,
% 219.03/141.59 (v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35255, 35254, 35252])).
% 219.03/141.59 tff(35257,assumption,(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))), introduced(assumption)).
% 219.03/141.59 tff(35258,assumption,(~v84(constB27, 1)), introduced(assumption)).
% 219.03/141.59 tff(35259,assumption,(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))), introduced(assumption)).
% 219.03/141.59 tff(35260,assumption,(~v84(constB27, 0)), introduced(assumption)).
% 219.03/141.59 tff(35261,plain,
% 219.03/141.59 (~v84(constB27, 2)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31000, 35258, 35260, 35259])).
% 219.03/141.59 tff(35262,plain,
% 219.03/141.59 ((~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))) | v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35263,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35262, 35261, 35258, 35260, 35249])).
% 219.03/141.59 tff(35264,plain,(v84(constB27, 1) | v84(constB27, 0) | (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))) | (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35265,plain,
% 219.03/141.59 (v84(constB27, 0)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35264, 35258, 35259, 35249])).
% 219.03/141.59 tff(35266,assumption,(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)), introduced(assumption)).
% 219.03/141.59 tff(35267,plain,
% 219.03/141.59 ((~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))) | v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35268,plain,
% 219.03/141.59 (v84(constB27, 2)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35267, 35265, 35266, 35258])).
% 219.03/141.59 tff(35269,plain,
% 219.03/141.59 ((~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))) | v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35270,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35269, 35268, 35265, 35258, 35257])).
% 219.03/141.59 tff(35271,plain,(v84(constB27, 1) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))) | (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))) | (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35272,plain,
% 219.03/141.59 (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35271, 35256, 35249, 35248, 35167])).
% 219.03/141.59 tff(35273,plain,
% 219.03/141.59 (v117(constB27) | (v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[31002, 30676])).
% 219.03/141.59 tff(35274,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35273, 35272, 35161])).
% 219.03/141.59 tff(35275,plain,(v102(constB27) | (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))) | v84(constB28, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35276,plain,
% 219.03/141.59 (v102(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35275, 30997, 35150])).
% 219.03/141.59 tff(35277,plain,
% 219.03/141.59 (v104(constB28)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35059, 35276])).
% 219.03/141.59 tff(35278,plain,
% 219.03/141.59 (~((~v95(constB28)) | (~v104(constB28)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35090, 35277])).
% 219.03/141.59 tff(35279,plain,
% 219.03/141.59 (v94(constB28)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35093, 35278])).
% 219.03/141.59 tff(35280,plain,
% 219.03/141.59 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35101, 35279])).
% 219.03/141.59 tff(35281,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 2) <=> v123(constB28, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 2) <=> v123(constB28, 2)))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35282,plain,
% 219.03/141.59 (($false | $false | (v84(constB28, 2) <=> v123(constB28, 2))) <=> (v84(constB28, 2) <=> v123(constB28, 2))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35283,plain,
% 219.03/141.59 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB28, 2) <=> v123(constB28, 2))) <=> ($false | $false | (v84(constB28, 2) <=> v123(constB28, 2)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.59 tff(35284,plain,
% 219.03/141.59 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB28, 2) <=> v123(constB28, 2))) <=> (v84(constB28, 2) <=> v123(constB28, 2))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35283, 35282])).
% 219.03/141.59 tff(35285,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB28, 2) <=> v123(constB28, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 2) <=> v123(constB28, 2)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35284])).
% 219.03/141.59 tff(35286,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB28, 2) <=> v123(constB28, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 2) <=> v123(constB28, 2)))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35285, 35281])).
% 219.03/141.59 tff(35287,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB28, 2) <=> v123(constB28, 2)))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35288,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))) | (v84(constB28, 2) <=> v123(constB28, 2))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35287, 35286])).
% 219.03/141.59 tff(35289,plain,
% 219.03/141.59 (v84(constB28, 2) <=> v123(constB28, 2)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35288, 35280])).
% 219.03/141.59 tff(35290,assumption,(~v84(constB28, 2)), introduced(assumption)).
% 219.03/141.59 tff(35291,plain,
% 219.03/141.59 ((~(v84(constB28, 2) <=> v123(constB28, 2))) | v84(constB28, 2) | (~v123(constB28, 2))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35292,plain,
% 219.03/141.59 ((~(v84(constB28, 2) <=> v123(constB28, 2))) | (~v123(constB28, 2))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35291, 35290])).
% 219.03/141.59 tff(35293,plain,
% 219.03/141.59 (~v123(constB28, 2)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35292, 35289])).
% 219.03/141.59 tff(35294,plain,
% 219.03/141.59 ((~(v123(constB28, 2) <=> v121(constB27, 2))) | v123(constB28, 2) | (~v121(constB27, 2))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35295,plain,
% 219.03/141.59 ((~(v123(constB28, 2) <=> v121(constB27, 2))) | (~v121(constB27, 2))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35294, 35293])).
% 219.03/141.59 tff(35296,plain,
% 219.03/141.59 (~v121(constB27, 2)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35295, 35003])).
% 219.03/141.59 tff(35297,plain,
% 219.03/141.59 ((~(v121(constB27, 2) <=> v124(constB27, 2))) | v121(constB27, 2) | (~v124(constB27, 2))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35298,plain,
% 219.03/141.59 ((~(v121(constB27, 2) <=> v124(constB27, 2))) | (~v124(constB27, 2))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35297, 35296])).
% 219.03/141.59 tff(35299,plain,
% 219.03/141.59 (~v124(constB27, 2)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35298, 34987])).
% 219.03/141.59 tff(35300,plain,
% 219.03/141.59 ((~(v124(constB27, 2) <=> b100(2))) | v124(constB27, 2) | (~b100(2))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35301,plain,
% 219.03/141.59 (~(v124(constB27, 2) <=> b100(2))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35300, 2250, 35299])).
% 219.03/141.59 tff(35302,plain,
% 219.03/141.59 (v84(constB28, 0) <=> v123(constB28, 0)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35110, 35280])).
% 219.03/141.59 tff(35303,plain,
% 219.03/141.59 (~v123(constB28, 0)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35113, 35302])).
% 219.03/141.59 tff(35304,plain,
% 219.03/141.59 ((~(v123(constB28, 0) <=> v121(constB27, 0))) | (~v121(constB27, 0))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35115, 35303])).
% 219.03/141.59 tff(35305,plain,
% 219.03/141.59 (~v121(constB27, 0)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35304, 35021])).
% 219.03/141.59 tff(35306,plain,
% 219.03/141.59 ((~(v121(constB27, 0) <=> v124(constB27, 0))) | (~v124(constB27, 0))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35143, 35305])).
% 219.03/141.59 tff(35307,plain,
% 219.03/141.59 (~v124(constB27, 0)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35306, 35012])).
% 219.03/141.59 tff(35308,plain,
% 219.03/141.59 ((~(v124(constB27, 0) <=> b101(0))) | v124(constB27, 0) | (~b101(0))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35309,plain,
% 219.03/141.59 (~(v124(constB27, 0) <=> b101(0))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35308, 2042, 35128])).
% 219.03/141.59 tff(35310,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))), introduced(assumption)).
% 219.03/141.59 tff(35311,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | (v124(constB27, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | (v124(constB27, 0) <=> b101(0)))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35312,plain,
% 219.03/141.59 (($false | $false | (v124(constB27, 0) <=> b101(0))) <=> (v124(constB27, 0) <=> b101(0))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35313,plain,
% 219.03/141.59 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b101(0))) <=> ($false | $false | (v124(constB27, 0) <=> b101(0)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.59 tff(35314,plain,
% 219.03/141.59 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b101(0))) <=> (v124(constB27, 0) <=> b101(0))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35313, 35312])).
% 219.03/141.59 tff(35315,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | (v124(constB27, 0) <=> b101(0)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35314])).
% 219.03/141.59 tff(35316,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | (v124(constB27, 0) <=> b101(0)))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35315, 35311])).
% 219.03/141.59 tff(35317,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b101(0)))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35318,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | (v124(constB27, 0) <=> b101(0))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35317, 35316])).
% 219.03/141.59 tff(35319,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35318, 35310, 35309])).
% 219.03/141.59 tff(35320,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | v124(constB27, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35321,plain,
% 219.03/141.59 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35320, 35307])).
% 219.03/141.59 tff(35322,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))), introduced(assumption)).
% 219.03/141.59 tff(35323,assumption,(v117(constB27)), introduced(assumption)).
% 219.03/141.59 tff(35324,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B))))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35325,plain,
% 219.03/141.59 (((~v117(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B))))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35326,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35325])).
% 219.03/141.59 tff(35327,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B))))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35326, 35324])).
% 219.03/141.59 tff(35328,plain,
% 219.03/141.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35329,plain,
% 219.03/141.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35328, 35327])).
% 219.03/141.59 tff(35330,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35329, 2090, 35323, 35322])).
% 219.03/141.59 tff(35331,plain,((~v117(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35332,plain,
% 219.03/141.59 (~v117(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35331, 35321])).
% 219.03/141.59 tff(35333,plain,
% 219.03/141.59 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35141, 35307])).
% 219.03/141.59 tff(35334,assumption,(~v124(constB27, 2)), introduced(assumption)).
% 219.03/141.59 tff(35335,plain,
% 219.03/141.59 ((~(v124(constB27, 2) <=> b110(2))) | v124(constB27, 2) | (~b110(2))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35336,plain,
% 219.03/141.59 (~(v124(constB27, 2) <=> b110(2))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35335, 1598, 35334])).
% 219.03/141.59 tff(35337,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))), introduced(assumption)).
% 219.03/141.59 tff(35338,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | (v124(constB27, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | (v124(constB27, 2) <=> b110(2)))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35339,plain,
% 219.03/141.59 (($false | $false | (v124(constB27, 2) <=> b110(2))) <=> (v124(constB27, 2) <=> b110(2))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35340,plain,
% 219.03/141.59 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b110(2))) <=> ($false | $false | (v124(constB27, 2) <=> b110(2)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.59 tff(35341,plain,
% 219.03/141.59 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b110(2))) <=> (v124(constB27, 2) <=> b110(2))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35340, 35339])).
% 219.03/141.59 tff(35342,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | (v124(constB27, 2) <=> b110(2)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35341])).
% 219.03/141.59 tff(35343,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | (v124(constB27, 2) <=> b110(2)))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35342, 35338])).
% 219.03/141.59 tff(35344,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b110(2)))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35345,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | (v124(constB27, 2) <=> b110(2))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35344, 35343])).
% 219.03/141.59 tff(35346,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35345, 35337, 35336])).
% 219.03/141.59 tff(35347,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | v124(constB27, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35348,plain,
% 219.03/141.59 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35347, 35299])).
% 219.03/141.59 tff(35349,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))), introduced(assumption)).
% 219.03/141.59 tff(35350,assumption,(v118(constB27)), introduced(assumption)).
% 219.03/141.59 tff(35351,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B))))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35352,plain,
% 219.03/141.59 (((~v118(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B))))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35353,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35352])).
% 219.03/141.59 tff(35354,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B))))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35353, 35351])).
% 219.03/141.59 tff(35355,plain,
% 219.03/141.59 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35356,plain,
% 219.03/141.59 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35355, 35354])).
% 219.03/141.59 tff(35357,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35356, 1977, 35350, 35349])).
% 219.03/141.59 tff(35358,plain,((~v118(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35359,plain,
% 219.03/141.59 (~v118(constB27)),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35358, 35348])).
% 219.03/141.59 tff(35360,plain,
% 219.03/141.59 ((~(v124(constB27, 0) <=> b011(0))) | v124(constB27, 0) | (~b011(0))),
% 219.03/141.59 inference(tautology,[status(thm)],[])).
% 219.03/141.59 tff(35361,plain,
% 219.03/141.59 (~(v124(constB27, 0) <=> b011(0))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35360, 2025, 35128])).
% 219.03/141.59 tff(35362,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))), introduced(assumption)).
% 219.03/141.59 tff(35363,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))) | (v124(constB27, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))) | (v124(constB27, 0) <=> b011(0)))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35364,plain,
% 219.03/141.59 (($false | $false | (v124(constB27, 0) <=> b011(0))) <=> (v124(constB27, 0) <=> b011(0))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35365,plain,
% 219.03/141.59 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b011(0))) <=> ($false | $false | (v124(constB27, 0) <=> b011(0)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.59 tff(35366,plain,
% 219.03/141.59 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b011(0))) <=> (v124(constB27, 0) <=> b011(0))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35365, 35364])).
% 219.03/141.59 tff(35367,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))) | (v124(constB27, 0) <=> b011(0)))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35366])).
% 219.03/141.59 tff(35368,plain,
% 219.03/141.59 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))) | (v124(constB27, 0) <=> b011(0)))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35367, 35363])).
% 219.03/141.59 tff(35369,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b011(0)))),
% 219.03/141.59 inference(quant_inst,[status(thm)],[])).
% 219.03/141.59 tff(35370,plain,
% 219.03/141.59 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))) | (v124(constB27, 0) <=> b011(0))),
% 219.03/141.59 inference(modus_ponens,[status(thm)],[35369, 35368])).
% 219.03/141.59 tff(35371,plain,
% 219.03/141.59 ($false),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35370, 35362, 35361])).
% 219.03/141.59 tff(35372,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))) | v124(constB27, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.59 tff(35373,plain,
% 219.03/141.59 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))),
% 219.03/141.59 inference(unit_resolution,[status(thm)],[35372, 35307])).
% 219.03/141.59 tff(35374,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))), introduced(assumption)).
% 219.03/141.59 tff(35375,assumption,(v115(constB27)), introduced(assumption)).
% 219.03/141.59 tff(35376,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B))))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35377,plain,
% 219.03/141.59 (((~v115(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B))))),
% 219.03/141.59 inference(rewrite,[status(thm)],[])).
% 219.03/141.59 tff(35378,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))))),
% 219.03/141.59 inference(monotonicity,[status(thm)],[35377])).
% 219.03/141.59 tff(35379,plain,
% 219.03/141.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B))))),
% 219.03/141.59 inference(transitivity,[status(thm)],[35378, 35376])).
% 219.03/141.59 tff(35380,plain,
% 219.03/141.59 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35381,plain,
% 219.03/141.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35380, 35379])).
% 219.03/141.60 tff(35382,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35381, 2144, 35375, 35374])).
% 219.03/141.60 tff(35383,plain,((~v115(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35384,plain,
% 219.03/141.60 (~v115(constB27)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35383, 35373])).
% 219.03/141.60 tff(35385,plain,
% 219.03/141.60 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB27) | v114(constB27) | v115(constB27) | v116(constB27) | v117(constB27) | v118(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB27) | v114(constB27) | v115(constB27) | v116(constB27) | v117(constB27) | v118(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B))))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35386,plain,
% 219.03/141.60 ((v118(constB27) | v117(constB27) | v116(constB27) | v115(constB27) | v114(constB27) | v113(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) <=> (v113(constB27) | v114(constB27) | v115(constB27) | v116(constB27) | v117(constB27) | v118(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B))))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35387,plain,
% 219.03/141.60 (^[B: $int] : rewrite(((v124(constB27, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B))))),
% 219.03/141.60 inference(bind,[status(th)],[])).
% 219.03/141.60 tff(35388,plain,
% 219.03/141.60 (![B: $int] : ((v124(constB27, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))),
% 219.03/141.60 inference(quant_intro,[status(thm)],[35387])).
% 219.03/141.60 tff(35389,plain,
% 219.03/141.60 ((v118(constB27) | v117(constB27) | v116(constB27) | v115(constB27) | v114(constB27) | v113(constB27) | ![B: $int] : ((v124(constB27, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB27) | v117(constB27) | v116(constB27) | v115(constB27) | v114(constB27) | v113(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B))))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[35388])).
% 219.03/141.60 tff(35390,plain,
% 219.03/141.60 ((v118(constB27) | v117(constB27) | v116(constB27) | v115(constB27) | v114(constB27) | v113(constB27) | ![B: $int] : ((v124(constB27, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v113(constB27) | v114(constB27) | v115(constB27) | v116(constB27) | v117(constB27) | v118(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B))))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35389, 35386])).
% 219.03/141.60 tff(35391,plain,
% 219.03/141.60 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB27) | v117(constB27) | v116(constB27) | v115(constB27) | v114(constB27) | v113(constB27) | ![B: $int] : ((v124(constB27, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB27) | v114(constB27) | v115(constB27) | v116(constB27) | v117(constB27) | v118(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[35390])).
% 219.03/141.60 tff(35392,plain,
% 219.03/141.60 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB27) | v117(constB27) | v116(constB27) | v115(constB27) | v114(constB27) | v113(constB27) | ![B: $int] : ((v124(constB27, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB27) | v114(constB27) | v115(constB27) | v116(constB27) | v117(constB27) | v118(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B))))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35391, 35385])).
% 219.03/141.60 tff(35393,plain,
% 219.03/141.60 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB27) | v117(constB27) | v116(constB27) | v115(constB27) | v114(constB27) | v113(constB27) | ![B: $int] : ((v124(constB27, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35394,plain,
% 219.03/141.60 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB27) | v114(constB27) | v115(constB27) | v116(constB27) | v117(constB27) | v118(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35393, 35392])).
% 219.03/141.60 tff(35395,plain,
% 219.03/141.60 (v114(constB27) | v115(constB27) | v116(constB27) | v117(constB27) | v118(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35394, 1807, 35147])).
% 219.03/141.60 tff(35396,plain,
% 219.03/141.60 (v116(constB27)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35395, 35384, 35359, 35246, 35333, 35332])).
% 219.03/141.60 tff(35397,plain,
% 219.03/141.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B))))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35398,plain,
% 219.03/141.60 (((~v116(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B))))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35399,plain,
% 219.03/141.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[35398])).
% 219.03/141.60 tff(35400,plain,
% 219.03/141.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B))))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35399, 35397])).
% 219.03/141.60 tff(35401,plain,
% 219.03/141.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB27)) | ![B: $int] : ((v124(constB27, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35402,plain,
% 219.03/141.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB27)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35401, 35400])).
% 219.03/141.60 tff(35403,plain,
% 219.03/141.60 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35402, 2230, 35396])).
% 219.03/141.60 tff(35404,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 2) <=> b100(2)))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35405,plain,
% 219.03/141.60 (($false | $false | (v124(constB27, 2) <=> b100(2))) <=> (v124(constB27, 2) <=> b100(2))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35406,plain,
% 219.03/141.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b100(2))) <=> ($false | $false | (v124(constB27, 2) <=> b100(2)))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.60 tff(35407,plain,
% 219.03/141.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b100(2))) <=> (v124(constB27, 2) <=> b100(2))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35406, 35405])).
% 219.03/141.60 tff(35408,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 2) <=> b100(2)))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[35407])).
% 219.03/141.60 tff(35409,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 2) <=> b100(2)))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35408, 35404])).
% 219.03/141.60 tff(35410,plain,
% 219.03/141.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b100(2)))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35411,plain,
% 219.03/141.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 2) <=> b100(2))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35410, 35409])).
% 219.03/141.60 tff(35412,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35411, 35403, 35301])).
% 219.03/141.60 tff(35413,plain,(v84(constB28, 1) | v84(constB28, 0) | v84(constB28, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35414,plain,
% 219.03/141.60 (v84(constB28, 2)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35413, 34971, 34966])).
% 219.03/141.60 tff(35415,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[30893, 35414, 34961])).
% 219.03/141.60 tff(35416,plain,(v84(constB29, 0) | (v108(constB29) | v119(constB29))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35417,plain,
% 219.03/141.60 (v84(constB29, 0)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35416, 34908])).
% 219.03/141.60 tff(35418,plain,
% 219.03/141.60 ((v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)) | (~v84(constB29, 0))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35419,plain,
% 219.03/141.60 (v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35418, 35417])).
% 219.03/141.60 tff(35420,plain,
% 219.03/141.60 (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[30976, 35417])).
% 219.03/141.60 tff(35421,plain,
% 219.03/141.60 ((v109(constB29) | v118(constB29)) | (~v118(constB29))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35422,plain,
% 219.03/141.60 (~v118(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35421, 34913])).
% 219.03/141.60 tff(35423,plain,
% 219.03/141.60 ((~(v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))))) | v118(constB29) | (v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35424,plain,
% 219.03/141.60 (v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35423, 35422, 31049])).
% 219.03/141.60 tff(35425,assumption,(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))), introduced(assumption)).
% 219.03/141.60 tff(35426,assumption,(v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)), introduced(assumption)).
% 219.03/141.60 tff(35427,assumption,(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))), introduced(assumption)).
% 219.03/141.60 tff(35428,assumption,(~v84(constB29, 2)), introduced(assumption)).
% 219.03/141.60 tff(35429,plain,
% 219.03/141.60 ((~(v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2))) | v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35430,plain,
% 219.03/141.60 (v84(constB29, 0)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35429, 35428, 35426, 34907])).
% 219.03/141.60 tff(35431,plain,
% 219.03/141.60 ((~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))) | v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35432,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35431, 35430, 35428, 34907, 35427])).
% 219.03/141.60 tff(35433,plain,(v84(constB29, 2) | v84(constB29, 1) | (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))) | (~(v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35434,plain,
% 219.03/141.60 (v84(constB29, 2)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35433, 34907, 35427, 35426])).
% 219.03/141.60 tff(35435,assumption,(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))), introduced(assumption)).
% 219.03/141.60 tff(35436,plain,
% 219.03/141.60 (v84(constB29, 0)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[34960, 35434, 34907, 35435])).
% 219.03/141.60 tff(35437,plain,
% 219.03/141.60 ((~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))) | v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35438,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35437, 35436, 35434, 34907, 35425])).
% 219.03/141.60 tff(35439,plain,(v84(constB29, 1) | (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))) | (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))) | (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))) | (~(v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35440,plain,
% 219.03/141.60 (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35439, 35424, 35420, 34907, 35419])).
% 219.03/141.60 tff(35441,plain,
% 219.03/141.60 ((~(v114(constB29) <=> (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))))) | v114(constB29) | (v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35442,plain,
% 219.03/141.60 (v114(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35441, 35440, 29648])).
% 219.03/141.60 tff(35443,plain,
% 219.03/141.60 ((v113(constB29) | v114(constB29)) | (~v114(constB29))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35444,plain,
% 219.03/141.60 (v113(constB29) | v114(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35443, 35442])).
% 219.03/141.60 tff(35445,assumption,(~(v112(constB29) <=> (v113(constB29) | v114(constB29)))), introduced(assumption)).
% 219.03/141.60 tff(35446,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[29645, 283, 35445])).
% 219.03/141.60 tff(35447,plain,(v112(constB29) <=> (v113(constB29) | v114(constB29))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35448,plain,
% 219.03/141.60 ((~(v112(constB29) <=> (v113(constB29) | v114(constB29)))) | v112(constB29) | (~(v113(constB29) | v114(constB29)))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35449,plain,
% 219.03/141.60 (v112(constB29) | (~(v113(constB29) | v114(constB29)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35448, 35447])).
% 219.03/141.60 tff(35450,plain,
% 219.03/141.60 (v112(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35449, 35444])).
% 219.03/141.60 tff(35451,plain,
% 219.03/141.60 ((v112(constB29) | v115(constB29)) | (~v112(constB29))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35452,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35451, 35450, 34925])).
% 219.03/141.60 tff(35453,plain,((v108(constB29) | v119(constB29)) | v84(constB29, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35454,plain,
% 219.03/141.60 (v108(constB29) | v119(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35453, 34907])).
% 219.03/141.60 tff(35455,assumption,(~(v107(constB29) <=> (v108(constB29) | v119(constB29)))), introduced(assumption)).
% 219.03/141.60 tff(35456,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[29635, 187, 35455])).
% 219.03/141.60 tff(35457,plain,(v107(constB29) <=> (v108(constB29) | v119(constB29))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35458,plain,
% 219.03/141.60 ((~(v107(constB29) <=> (v108(constB29) | v119(constB29)))) | v107(constB29) | (~(v108(constB29) | v119(constB29)))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35459,plain,
% 219.03/141.60 (v107(constB29) | (~(v108(constB29) | v119(constB29)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35458, 35457])).
% 219.03/141.60 tff(35460,plain,
% 219.03/141.60 (v107(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35459, 35454])).
% 219.03/141.60 tff(35461,plain,
% 219.03/141.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB29)) <=> v105(constB29))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35462,plain,
% 219.03/141.60 ((~v120(constB29)) <=> v105(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35461, 144])).
% 219.03/141.60 tff(35463,plain,
% 219.03/141.60 ((~((~v120(constB29)) <=> v105(constB29))) | v120(constB29) | v105(constB29)),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35464,plain,
% 219.03/141.60 ((~((~v120(constB29)) <=> v105(constB29))) | v120(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35463, 31090])).
% 219.03/141.60 tff(35465,plain,
% 219.03/141.60 (v120(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35464, 35462])).
% 219.03/141.60 tff(35466,plain,
% 219.03/141.60 ((~((~v107(constB29)) | (~v120(constB29)))) | (~v107(constB29)) | (~v120(constB29))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35467,plain,
% 219.03/141.60 ((~((~v107(constB29)) | (~v120(constB29)))) | (~v107(constB29))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35466, 35465])).
% 219.03/141.60 tff(35468,plain,
% 219.03/141.60 (~((~v107(constB29)) | (~v120(constB29)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35467, 35460])).
% 219.03/141.60 tff(35469,plain,
% 219.03/141.60 ((~(v106(constB29) <=> (~((~v107(constB29)) | (~v120(constB29)))))) | v106(constB29) | ((~v107(constB29)) | (~v120(constB29)))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35470,plain,
% 219.03/141.60 (v106(constB29) | ((~v107(constB29)) | (~v120(constB29)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35469, 31080])).
% 219.03/141.60 tff(35471,plain,
% 219.03/141.60 (v106(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35470, 35468])).
% 219.03/141.60 tff(35472,plain,
% 219.03/141.60 ((v105(constB29) | v106(constB29)) | (~v106(constB29))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35473,plain,
% 219.03/141.60 (v105(constB29) | v106(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35472, 35471])).
% 219.03/141.60 tff(35474,plain,
% 219.03/141.60 ((~(v102(constB29) <=> (v105(constB29) | v106(constB29)))) | v102(constB29) | (~(v105(constB29) | v106(constB29)))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35475,plain,
% 219.03/141.60 (v102(constB29) | (~(v105(constB29) | v106(constB29)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35474, 31095])).
% 219.03/141.60 tff(35476,plain,
% 219.03/141.60 (v102(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35475, 35473])).
% 219.03/141.60 tff(35477,plain,
% 219.03/141.60 ((~(v104(constB30) <=> v102(constB29))) | v104(constB30) | (~v102(constB29))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35478,plain,
% 219.03/141.60 (v104(constB30) | (~v102(constB29))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35477, 31105])).
% 219.03/141.60 tff(35479,plain,
% 219.03/141.60 (v104(constB30)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35478, 35476])).
% 219.03/141.60 tff(35480,plain,
% 219.03/141.60 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35481,plain,
% 219.03/141.60 (((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30)))))) <=> ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35482,plain,
% 219.03/141.60 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30)))))))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[35481])).
% 219.03/141.60 tff(35483,plain,
% 219.03/141.60 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35482, 35480])).
% 219.03/141.60 tff(35484,plain,
% 219.03/141.60 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30))))))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35485,plain,
% 219.03/141.60 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30)))))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35484, 35483])).
% 219.03/141.60 tff(35486,plain,
% 219.03/141.60 (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35485, 31101, 37])).
% 219.03/141.60 tff(35487,plain,
% 219.03/141.60 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30)))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35488,plain,
% 219.03/141.60 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30)))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35489,plain,
% 219.03/141.60 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35488, 35487])).
% 219.03/141.60 tff(35490,plain,
% 219.03/141.60 ((~v96(constB30)) <=> v98(constB30)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35489, 31101, 54])).
% 219.03/141.60 tff(35491,plain,
% 219.03/141.60 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29)))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35492,plain,
% 219.03/141.60 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29)))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35493,plain,
% 219.03/141.60 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35492, 35491])).
% 219.03/141.60 tff(35494,plain,
% 219.03/141.60 (v98(constB30) <=> v1(constB29)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35493, 31101, 68])).
% 219.03/141.60 tff(35495,plain,
% 219.03/141.60 ((~(v98(constB30) <=> v1(constB29))) | (~v98(constB30)) | v1(constB29)),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35496,plain,
% 219.03/141.60 ((~(v98(constB30) <=> v1(constB29))) | (~v98(constB30))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35495, 29665])).
% 219.03/141.60 tff(35497,plain,
% 219.03/141.60 (~v98(constB30)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35496, 35494])).
% 219.03/141.60 tff(35498,plain,
% 219.03/141.60 ((~((~v96(constB30)) <=> v98(constB30))) | v96(constB30) | v98(constB30)),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35499,plain,
% 219.03/141.60 (v96(constB30)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35498, 35497, 35490])).
% 219.03/141.60 tff(35500,plain,
% 219.03/141.60 (v1(constB30) <=> v1(constB30)),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35501,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30')).
% 219.03/141.60 tff(35502,plain,
% 219.03/141.60 (v1(constB30)),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35501, 35500])).
% 219.03/141.60 tff(35503,plain,
% 219.03/141.60 ((~((~v1(constB30)) | (~v96(constB30)))) | (~v1(constB30)) | (~v96(constB30))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35504,plain,
% 219.03/141.60 ((~((~v1(constB30)) | (~v96(constB30)))) | (~v96(constB30))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35503, 35502])).
% 219.03/141.60 tff(35505,plain,
% 219.03/141.60 (~((~v1(constB30)) | (~v96(constB30)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35504, 35499])).
% 219.03/141.60 tff(35506,plain,
% 219.03/141.60 ((~(v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30)))))) | v95(constB30) | ((~v1(constB30)) | (~v96(constB30)))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35507,plain,
% 219.03/141.60 (v95(constB30)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35506, 35505, 35486])).
% 219.03/141.60 tff(35508,plain,
% 219.03/141.60 ((~((~v95(constB30)) | (~v104(constB30)))) | (~v95(constB30)) | (~v104(constB30))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35509,plain,
% 219.03/141.60 ((~((~v95(constB30)) | (~v104(constB30)))) | (~v104(constB30))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35508, 35507])).
% 219.03/141.60 tff(35510,plain,
% 219.03/141.60 (~((~v95(constB30)) | (~v104(constB30)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35509, 35479])).
% 219.03/141.60 tff(35511,plain,
% 219.03/141.60 ((~(v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30)))))) | v94(constB30) | ((~v95(constB30)) | (~v104(constB30)))),
% 219.03/141.60 inference(tautology,[status(thm)],[])).
% 219.03/141.60 tff(35512,plain,
% 219.03/141.60 (v94(constB30) | ((~v95(constB30)) | (~v104(constB30)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35511, 31114])).
% 219.03/141.60 tff(35513,plain,
% 219.03/141.60 (v94(constB30)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35512, 35510])).
% 219.03/141.60 tff(35514,plain,
% 219.03/141.60 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B))))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35515,plain,
% 219.03/141.60 (((~v94(constB30)) | ![B: $int] : ((v84(constB30, B) <=> v123(constB30, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B))))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35516,plain,
% 219.03/141.60 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB30)) | ![B: $int] : ((v84(constB30, B) <=> v123(constB30, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[35515])).
% 219.03/141.60 tff(35517,plain,
% 219.03/141.60 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB30)) | ![B: $int] : ((v84(constB30, B) <=> v123(constB30, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B))))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35516, 35514])).
% 219.03/141.60 tff(35518,plain,
% 219.03/141.60 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB30)) | ![B: $int] : ((v84(constB30, B) <=> v123(constB30, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35519,plain,
% 219.03/141.60 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35518, 35517])).
% 219.03/141.60 tff(35520,plain,
% 219.03/141.60 ((~v94(constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35519, 1491])).
% 219.03/141.60 tff(35521,plain,
% 219.03/141.60 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35520, 35513])).
% 219.03/141.60 tff(35522,assumption,(~(v84(constB30, 2) <=> v123(constB30, 2))), introduced(assumption)).
% 219.03/141.60 tff(35523,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))), introduced(assumption)).
% 219.03/141.60 tff(35524,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 2) <=> v123(constB30, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 2) <=> v123(constB30, 2)))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35525,plain,
% 219.03/141.60 (($false | $false | (v84(constB30, 2) <=> v123(constB30, 2))) <=> (v84(constB30, 2) <=> v123(constB30, 2))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35526,plain,
% 219.03/141.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB30, 2) <=> v123(constB30, 2))) <=> ($false | $false | (v84(constB30, 2) <=> v123(constB30, 2)))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.60 tff(35527,plain,
% 219.03/141.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB30, 2) <=> v123(constB30, 2))) <=> (v84(constB30, 2) <=> v123(constB30, 2))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35526, 35525])).
% 219.03/141.60 tff(35528,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB30, 2) <=> v123(constB30, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 2) <=> v123(constB30, 2)))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[35527])).
% 219.03/141.60 tff(35529,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB30, 2) <=> v123(constB30, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 2) <=> v123(constB30, 2)))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35528, 35524])).
% 219.03/141.60 tff(35530,plain,
% 219.03/141.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB30, 2) <=> v123(constB30, 2)))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35531,plain,
% 219.03/141.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 2) <=> v123(constB30, 2))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35530, 35529])).
% 219.03/141.60 tff(35532,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35531, 35523, 35522])).
% 219.03/141.60 tff(35533,plain,((v84(constB30, 2) <=> v123(constB30, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35534,plain,
% 219.03/141.60 (v84(constB30, 2) <=> v123(constB30, 2)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35533, 35521])).
% 219.03/141.60 tff(35535,assumption,(~(v84(constB30, 1) <=> v123(constB30, 1))), introduced(assumption)).
% 219.03/141.60 tff(35536,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 1) <=> v123(constB30, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 1) <=> v123(constB30, 1)))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35537,plain,
% 219.03/141.60 (($false | $false | (v84(constB30, 1) <=> v123(constB30, 1))) <=> (v84(constB30, 1) <=> v123(constB30, 1))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35538,plain,
% 219.03/141.60 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB30, 1) <=> v123(constB30, 1))) <=> ($false | $false | (v84(constB30, 1) <=> v123(constB30, 1)))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.60 tff(35539,plain,
% 219.03/141.60 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB30, 1) <=> v123(constB30, 1))) <=> (v84(constB30, 1) <=> v123(constB30, 1))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35538, 35537])).
% 219.03/141.60 tff(35540,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB30, 1) <=> v123(constB30, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 1) <=> v123(constB30, 1)))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[35539])).
% 219.03/141.60 tff(35541,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB30, 1) <=> v123(constB30, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 1) <=> v123(constB30, 1)))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35540, 35536])).
% 219.03/141.60 tff(35542,plain,
% 219.03/141.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB30, 1) <=> v123(constB30, 1)))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35543,plain,
% 219.03/141.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 1) <=> v123(constB30, 1))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35542, 35541])).
% 219.03/141.60 tff(35544,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35543, 35523, 35535])).
% 219.03/141.60 tff(35545,plain,((v84(constB30, 1) <=> v123(constB30, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35546,plain,
% 219.03/141.60 (v84(constB30, 1) <=> v123(constB30, 1)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35545, 35521])).
% 219.03/141.60 tff(35547,assumption,(~(v84(constB30, 0) <=> v123(constB30, 0))), introduced(assumption)).
% 219.03/141.60 tff(35548,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 0) <=> v123(constB30, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 0) <=> v123(constB30, 0)))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35549,plain,
% 219.03/141.60 (($false | $false | (v84(constB30, 0) <=> v123(constB30, 0))) <=> (v84(constB30, 0) <=> v123(constB30, 0))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35550,plain,
% 219.03/141.60 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB30, 0) <=> v123(constB30, 0))) <=> ($false | $false | (v84(constB30, 0) <=> v123(constB30, 0)))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.60 tff(35551,plain,
% 219.03/141.60 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB30, 0) <=> v123(constB30, 0))) <=> (v84(constB30, 0) <=> v123(constB30, 0))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35550, 35549])).
% 219.03/141.60 tff(35552,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB30, 0) <=> v123(constB30, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 0) <=> v123(constB30, 0)))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[35551])).
% 219.03/141.60 tff(35553,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB30, 0) <=> v123(constB30, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 0) <=> v123(constB30, 0)))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35552, 35548])).
% 219.03/141.60 tff(35554,plain,
% 219.03/141.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB30, 0) <=> v123(constB30, 0)))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35555,plain,
% 219.03/141.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))) | (v84(constB30, 0) <=> v123(constB30, 0))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35554, 35553])).
% 219.03/141.60 tff(35556,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35555, 35523, 35547])).
% 219.03/141.60 tff(35557,plain,((v84(constB30, 0) <=> v123(constB30, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35558,plain,
% 219.03/141.60 (v84(constB30, 0) <=> v123(constB30, 0)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35557, 35521])).
% 219.03/141.60 tff(35559,assumption,(~v118(constB31)), introduced(assumption)).
% 219.03/141.60 tff(35560,assumption,(~(v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))))), introduced(assumption)).
% 219.03/141.60 tff(35561,plain,
% 219.03/141.60 ($false),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[31257, 394, 35560])).
% 219.03/141.60 tff(35562,plain,(v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.60 tff(35563,plain,
% 219.03/141.60 (v118(constB31) | (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[31369, 35562])).
% 219.03/141.60 tff(35564,plain,
% 219.03/141.60 (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35563, 35559])).
% 219.03/141.60 tff(35565,assumption,(v117(constB29)), introduced(assumption)).
% 219.03/141.60 tff(35566,plain,
% 219.03/141.60 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B))))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35567,plain,
% 219.03/141.60 (((~nextState(constB29, constB30)) | ![B: $int] : ((v123(constB30, B) <=> v121(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B))))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35568,plain,
% 219.03/141.60 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB29, constB30)) | ![B: $int] : ((v123(constB30, B) <=> v121(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[35567])).
% 219.03/141.60 tff(35569,plain,
% 219.03/141.60 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB29, constB30)) | ![B: $int] : ((v123(constB30, B) <=> v121(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B))))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35568, 35566])).
% 219.03/141.60 tff(35570,plain,
% 219.03/141.60 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB29, constB30)) | ![B: $int] : ((v123(constB30, B) <=> v121(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35571,plain,
% 219.03/141.60 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB29, constB30)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35570, 35569])).
% 219.03/141.60 tff(35572,plain,
% 219.03/141.60 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35571, 31101, 1527])).
% 219.03/141.60 tff(35573,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 2) <=> v121(constB29, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 2) <=> v121(constB29, 2)))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35574,plain,
% 219.03/141.60 (($false | $false | (v123(constB30, 2) <=> v121(constB29, 2))) <=> (v123(constB30, 2) <=> v121(constB29, 2))),
% 219.03/141.60 inference(rewrite,[status(thm)],[])).
% 219.03/141.60 tff(35575,plain,
% 219.03/141.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB30, 2) <=> v121(constB29, 2))) <=> ($false | $false | (v123(constB30, 2) <=> v121(constB29, 2)))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.60 tff(35576,plain,
% 219.03/141.60 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB30, 2) <=> v121(constB29, 2))) <=> (v123(constB30, 2) <=> v121(constB29, 2))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35575, 35574])).
% 219.03/141.60 tff(35577,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB30, 2) <=> v121(constB29, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 2) <=> v121(constB29, 2)))),
% 219.03/141.60 inference(monotonicity,[status(thm)],[35576])).
% 219.03/141.60 tff(35578,plain,
% 219.03/141.60 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB30, 2) <=> v121(constB29, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 2) <=> v121(constB29, 2)))),
% 219.03/141.60 inference(transitivity,[status(thm)],[35577, 35573])).
% 219.03/141.60 tff(35579,plain,
% 219.03/141.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB30, 2) <=> v121(constB29, 2)))),
% 219.03/141.60 inference(quant_inst,[status(thm)],[])).
% 219.03/141.60 tff(35580,plain,
% 219.03/141.60 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 2) <=> v121(constB29, 2))),
% 219.03/141.60 inference(modus_ponens,[status(thm)],[35579, 35578])).
% 219.03/141.60 tff(35581,plain,
% 219.03/141.60 (v123(constB30, 2) <=> v121(constB29, 2)),
% 219.03/141.60 inference(unit_resolution,[status(thm)],[35580, 35572])).
% 219.03/141.60 tff(35582,plain,
% 219.03/141.60 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B))))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35583,plain,
% 219.03/141.61 ((v105(constB29) | ![B: $int] : ((v121(constB29, B) <=> v124(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B))))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35584,plain,
% 219.03/141.61 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB29) | ![B: $int] : ((v121(constB29, B) <=> v124(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35583])).
% 219.03/141.61 tff(35585,plain,
% 219.03/141.61 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB29) | ![B: $int] : ((v121(constB29, B) <=> v124(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B))))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35584, 35582])).
% 219.03/141.61 tff(35586,plain,
% 219.03/141.61 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB29) | ![B: $int] : ((v121(constB29, B) <=> v124(constB29, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35587,plain,
% 219.03/141.61 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35586, 35585])).
% 219.03/141.61 tff(35588,plain,
% 219.03/141.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35587, 1562, 31090])).
% 219.03/141.61 tff(35589,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 2) <=> v124(constB29, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 2) <=> v124(constB29, 2)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35590,plain,
% 219.03/141.61 (($false | $false | (v121(constB29, 2) <=> v124(constB29, 2))) <=> (v121(constB29, 2) <=> v124(constB29, 2))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35591,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB29, 2) <=> v124(constB29, 2))) <=> ($false | $false | (v121(constB29, 2) <=> v124(constB29, 2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.61 tff(35592,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB29, 2) <=> v124(constB29, 2))) <=> (v121(constB29, 2) <=> v124(constB29, 2))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35591, 35590])).
% 219.03/141.61 tff(35593,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB29, 2) <=> v124(constB29, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 2) <=> v124(constB29, 2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35592])).
% 219.03/141.61 tff(35594,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB29, 2) <=> v124(constB29, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 2) <=> v124(constB29, 2)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35593, 35589])).
% 219.03/141.61 tff(35595,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB29, 2) <=> v124(constB29, 2)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35596,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 2) <=> v124(constB29, 2))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35595, 35594])).
% 219.03/141.61 tff(35597,plain,
% 219.03/141.61 (v121(constB29, 2) <=> v124(constB29, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35596, 35588])).
% 219.03/141.61 tff(35598,plain,
% 219.03/141.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B))))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35599,plain,
% 219.03/141.61 (((~v117(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B))))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35600,plain,
% 219.03/141.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35599])).
% 219.03/141.61 tff(35601,plain,
% 219.03/141.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B))))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35600, 35598])).
% 219.03/141.61 tff(35602,plain,
% 219.03/141.61 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35603,plain,
% 219.03/141.61 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35602, 35601])).
% 219.03/141.61 tff(35604,plain,
% 219.03/141.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35603, 2090, 35565])).
% 219.03/141.61 tff(35605,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 2) <=> b101(2)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35606,plain,
% 219.03/141.61 (($false | $false | (v124(constB29, 2) <=> b101(2))) <=> (v124(constB29, 2) <=> b101(2))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35607,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b101(2))) <=> ($false | $false | (v124(constB29, 2) <=> b101(2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.61 tff(35608,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b101(2))) <=> (v124(constB29, 2) <=> b101(2))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35607, 35606])).
% 219.03/141.61 tff(35609,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 2) <=> b101(2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35608])).
% 219.03/141.61 tff(35610,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 2) <=> b101(2)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35609, 35605])).
% 219.03/141.61 tff(35611,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b101(2)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35612,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 2) <=> b101(2))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35611, 35610])).
% 219.03/141.61 tff(35613,plain,
% 219.03/141.61 (v124(constB29, 2) <=> b101(2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35612, 35604])).
% 219.03/141.61 tff(35614,plain,
% 219.03/141.61 ((~(v124(constB29, 2) <=> b101(2))) | v124(constB29, 2) | (~b101(2))),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35615,plain,
% 219.03/141.61 ((~(v124(constB29, 2) <=> b101(2))) | v124(constB29, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35614, 2354])).
% 219.03/141.61 tff(35616,plain,
% 219.03/141.61 (v124(constB29, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35615, 35613])).
% 219.03/141.61 tff(35617,plain,
% 219.03/141.61 ((~(v121(constB29, 2) <=> v124(constB29, 2))) | v121(constB29, 2) | (~v124(constB29, 2))),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35618,plain,
% 219.03/141.61 ((~(v121(constB29, 2) <=> v124(constB29, 2))) | v121(constB29, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35617, 35616])).
% 219.03/141.61 tff(35619,plain,
% 219.03/141.61 (v121(constB29, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35618, 35597])).
% 219.03/141.61 tff(35620,plain,
% 219.03/141.61 (v110(constB29) | v117(constB29)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[34929, 35565])).
% 219.03/141.61 tff(35621,plain,
% 219.03/141.61 ((~(v109(constB29) <=> (v110(constB29) | v117(constB29)))) | v109(constB29)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[34916, 35620])).
% 219.03/141.61 tff(35622,plain,
% 219.03/141.61 (v109(constB29)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35621, 29640])).
% 219.03/141.61 tff(35623,plain,
% 219.03/141.61 (v109(constB29) | v118(constB29)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[34914, 35622])).
% 219.03/141.61 tff(35624,plain,
% 219.03/141.61 (v108(constB29)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[34911, 35623, 29638])).
% 219.03/141.61 tff(35625,plain,
% 219.03/141.61 (v108(constB29) | v119(constB29)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[34909, 35624])).
% 219.03/141.61 tff(35626,plain,
% 219.03/141.61 (v107(constB29)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35458, 35625, 29636])).
% 219.03/141.61 tff(35627,plain,
% 219.03/141.61 (~((~v107(constB29)) | (~v120(constB29)))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35467, 35626])).
% 219.03/141.61 tff(35628,plain,
% 219.03/141.61 (v106(constB29)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35470, 35627])).
% 219.03/141.61 tff(35629,plain,
% 219.03/141.61 (v105(constB29) | v106(constB29)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35472, 35628])).
% 219.03/141.61 tff(35630,plain,
% 219.03/141.61 (v102(constB29)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35475, 35629])).
% 219.03/141.61 tff(35631,plain,
% 219.03/141.61 (v104(constB30)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35478, 35630])).
% 219.03/141.61 tff(35632,plain,
% 219.03/141.61 (~((~v95(constB30)) | (~v104(constB30)))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35509, 35631])).
% 219.03/141.61 tff(35633,plain,
% 219.03/141.61 (v94(constB30)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35512, 35632])).
% 219.03/141.61 tff(35634,plain,
% 219.03/141.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35520, 35633])).
% 219.03/141.61 tff(35635,plain,
% 219.03/141.61 (v84(constB30, 2) <=> v123(constB30, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35531, 35634])).
% 219.03/141.61 tff(35636,assumption,(~v84(constB30, 2)), introduced(assumption)).
% 219.03/141.61 tff(35637,plain,
% 219.03/141.61 ((~(v84(constB30, 2) <=> v123(constB30, 2))) | v84(constB30, 2) | (~v123(constB30, 2))),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35638,plain,
% 219.03/141.61 ((~(v84(constB30, 2) <=> v123(constB30, 2))) | (~v123(constB30, 2))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35637, 35636])).
% 219.03/141.61 tff(35639,plain,
% 219.03/141.61 (~v123(constB30, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35638, 35635])).
% 219.03/141.61 tff(35640,plain,
% 219.03/141.61 ((~(v123(constB30, 2) <=> v121(constB29, 2))) | v123(constB30, 2) | (~v121(constB29, 2))),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35641,plain,
% 219.03/141.61 ((~(v123(constB30, 2) <=> v121(constB29, 2))) | (~v121(constB29, 2))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35640, 35639])).
% 219.03/141.61 tff(35642,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35641, 35619, 35581])).
% 219.03/141.61 tff(35643,plain,((~v117(constB29)) | v84(constB30, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35644,plain,
% 219.03/141.61 (v84(constB30, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35643, 35565])).
% 219.03/141.61 tff(35645,assumption,(~(v84(constB31, 2) <=> v84(constB30, 2))), introduced(assumption)).
% 219.03/141.61 tff(35646,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31213, 29625, 35645])).
% 219.03/141.61 tff(35647,plain,(v84(constB31, 2) <=> v84(constB30, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35648,plain,
% 219.03/141.61 (v84(constB31, 2) | (~v84(constB30, 2))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31227, 35647])).
% 219.03/141.61 tff(35649,plain,
% 219.03/141.61 (v84(constB31, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35648, 35644])).
% 219.03/141.61 tff(35650,assumption,(v84(constB30, 1) <=> v123(constB30, 1)), introduced(assumption)).
% 219.03/141.61 tff(35651,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 1) <=> b101(1)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35652,plain,
% 219.03/141.61 (($false | $false | (v124(constB29, 1) <=> b101(1))) <=> (v124(constB29, 1) <=> b101(1))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35653,plain,
% 219.03/141.61 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b101(1))) <=> ($false | $false | (v124(constB29, 1) <=> b101(1)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.61 tff(35654,plain,
% 219.03/141.61 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b101(1))) <=> (v124(constB29, 1) <=> b101(1))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35653, 35652])).
% 219.03/141.61 tff(35655,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 1) <=> b101(1)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35654])).
% 219.03/141.61 tff(35656,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 1) <=> b101(1)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35655, 35651])).
% 219.03/141.61 tff(35657,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b101(1)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35658,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 1) <=> b101(1))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35657, 35656])).
% 219.03/141.61 tff(35659,plain,
% 219.03/141.61 (v124(constB29, 1) <=> b101(1)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35658, 35604])).
% 219.03/141.61 tff(35660,plain,
% 219.03/141.61 ((~(v124(constB29, 1) <=> b101(1))) | (~v124(constB29, 1)) | b101(1)),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35661,plain,
% 219.03/141.61 ((~(v124(constB29, 1) <=> b101(1))) | (~v124(constB29, 1))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35660, 2330])).
% 219.03/141.61 tff(35662,plain,
% 219.03/141.61 (~v124(constB29, 1)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35661, 35659])).
% 219.03/141.61 tff(35663,assumption,(~(v121(constB29, 1) <=> v124(constB29, 1))), introduced(assumption)).
% 219.03/141.61 tff(35664,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 1) <=> v124(constB29, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 1) <=> v124(constB29, 1)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35665,plain,
% 219.03/141.61 (($false | $false | (v121(constB29, 1) <=> v124(constB29, 1))) <=> (v121(constB29, 1) <=> v124(constB29, 1))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35666,plain,
% 219.03/141.61 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB29, 1) <=> v124(constB29, 1))) <=> ($false | $false | (v121(constB29, 1) <=> v124(constB29, 1)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.61 tff(35667,plain,
% 219.03/141.61 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB29, 1) <=> v124(constB29, 1))) <=> (v121(constB29, 1) <=> v124(constB29, 1))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35666, 35665])).
% 219.03/141.61 tff(35668,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB29, 1) <=> v124(constB29, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 1) <=> v124(constB29, 1)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35667])).
% 219.03/141.61 tff(35669,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB29, 1) <=> v124(constB29, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 1) <=> v124(constB29, 1)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35668, 35664])).
% 219.03/141.61 tff(35670,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB29, 1) <=> v124(constB29, 1)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35671,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 1) <=> v124(constB29, 1))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35670, 35669])).
% 219.03/141.61 tff(35672,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35671, 35588, 35663])).
% 219.03/141.61 tff(35673,plain,(v121(constB29, 1) <=> v124(constB29, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35674,plain,
% 219.03/141.61 ((~(v121(constB29, 1) <=> v124(constB29, 1))) | (~v121(constB29, 1)) | v124(constB29, 1)),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35675,plain,
% 219.03/141.61 ((~v121(constB29, 1)) | v124(constB29, 1)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35674, 35673])).
% 219.03/141.61 tff(35676,plain,
% 219.03/141.61 (~v121(constB29, 1)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35675, 35662])).
% 219.03/141.61 tff(35677,assumption,(~(v123(constB30, 1) <=> v121(constB29, 1))), introduced(assumption)).
% 219.03/141.61 tff(35678,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 1) <=> v121(constB29, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 1) <=> v121(constB29, 1)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35679,plain,
% 219.03/141.61 (($false | $false | (v123(constB30, 1) <=> v121(constB29, 1))) <=> (v123(constB30, 1) <=> v121(constB29, 1))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35680,plain,
% 219.03/141.61 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB30, 1) <=> v121(constB29, 1))) <=> ($false | $false | (v123(constB30, 1) <=> v121(constB29, 1)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.61 tff(35681,plain,
% 219.03/141.61 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB30, 1) <=> v121(constB29, 1))) <=> (v123(constB30, 1) <=> v121(constB29, 1))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35680, 35679])).
% 219.03/141.61 tff(35682,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB30, 1) <=> v121(constB29, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 1) <=> v121(constB29, 1)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35681])).
% 219.03/141.61 tff(35683,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB30, 1) <=> v121(constB29, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 1) <=> v121(constB29, 1)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35682, 35678])).
% 219.03/141.61 tff(35684,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB30, 1) <=> v121(constB29, 1)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35685,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 1) <=> v121(constB29, 1))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35684, 35683])).
% 219.03/141.61 tff(35686,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35685, 35572, 35677])).
% 219.03/141.61 tff(35687,plain,(v123(constB30, 1) <=> v121(constB29, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35688,plain,
% 219.03/141.61 ((~(v123(constB30, 1) <=> v121(constB29, 1))) | (~v123(constB30, 1)) | v121(constB29, 1)),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35689,plain,
% 219.03/141.61 ((~v123(constB30, 1)) | v121(constB29, 1)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35688, 35687])).
% 219.03/141.61 tff(35690,plain,
% 219.03/141.61 (~v123(constB30, 1)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35689, 35676])).
% 219.03/141.61 tff(35691,plain,
% 219.03/141.61 ((~(v84(constB30, 1) <=> v123(constB30, 1))) | (~v84(constB30, 1)) | v123(constB30, 1)),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35692,plain,
% 219.03/141.61 (~v84(constB30, 1)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35691, 35690, 35650])).
% 219.03/141.61 tff(35693,assumption,(~(v84(constB31, 1) <=> v84(constB30, 1))), introduced(assumption)).
% 219.03/141.61 tff(35694,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[29633, 29625, 35693])).
% 219.03/141.61 tff(35695,plain,(v84(constB31, 1) <=> v84(constB30, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35696,plain,
% 219.03/141.61 ((~(v84(constB31, 1) <=> v84(constB30, 1))) | (~v84(constB31, 1)) | v84(constB30, 1)),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35697,plain,
% 219.03/141.61 ((~v84(constB31, 1)) | v84(constB30, 1)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35696, 35695])).
% 219.03/141.61 tff(35698,plain,
% 219.03/141.61 (~v84(constB31, 1)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35697, 35692])).
% 219.03/141.61 tff(35699,assumption,(v84(constB30, 0) <=> v123(constB30, 0)), introduced(assumption)).
% 219.03/141.61 tff(35700,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 0) <=> b101(0)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35701,plain,
% 219.03/141.61 (($false | $false | (v124(constB29, 0) <=> b101(0))) <=> (v124(constB29, 0) <=> b101(0))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35702,plain,
% 219.03/141.61 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b101(0))) <=> ($false | $false | (v124(constB29, 0) <=> b101(0)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.61 tff(35703,plain,
% 219.03/141.61 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b101(0))) <=> (v124(constB29, 0) <=> b101(0))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35702, 35701])).
% 219.03/141.61 tff(35704,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 0) <=> b101(0)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35703])).
% 219.03/141.61 tff(35705,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 0) <=> b101(0)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35704, 35700])).
% 219.03/141.61 tff(35706,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b101(0)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35707,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b101(B)))) | (v124(constB29, 0) <=> b101(0))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35706, 35705])).
% 219.03/141.61 tff(35708,plain,
% 219.03/141.61 (v124(constB29, 0) <=> b101(0)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35707, 35604])).
% 219.03/141.61 tff(35709,plain,
% 219.03/141.61 ((~(v124(constB29, 0) <=> b101(0))) | v124(constB29, 0) | (~b101(0))),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35710,plain,
% 219.03/141.61 ((~(v124(constB29, 0) <=> b101(0))) | v124(constB29, 0)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35709, 2042])).
% 219.03/141.61 tff(35711,plain,
% 219.03/141.61 (v124(constB29, 0)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35710, 35708])).
% 219.03/141.61 tff(35712,assumption,(~(v121(constB29, 0) <=> v124(constB29, 0))), introduced(assumption)).
% 219.03/141.61 tff(35713,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 0) <=> v124(constB29, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 0) <=> v124(constB29, 0)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35714,plain,
% 219.03/141.61 (($false | $false | (v121(constB29, 0) <=> v124(constB29, 0))) <=> (v121(constB29, 0) <=> v124(constB29, 0))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35715,plain,
% 219.03/141.61 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB29, 0) <=> v124(constB29, 0))) <=> ($false | $false | (v121(constB29, 0) <=> v124(constB29, 0)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.61 tff(35716,plain,
% 219.03/141.61 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB29, 0) <=> v124(constB29, 0))) <=> (v121(constB29, 0) <=> v124(constB29, 0))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35715, 35714])).
% 219.03/141.61 tff(35717,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB29, 0) <=> v124(constB29, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 0) <=> v124(constB29, 0)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35716])).
% 219.03/141.61 tff(35718,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB29, 0) <=> v124(constB29, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 0) <=> v124(constB29, 0)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35717, 35713])).
% 219.03/141.61 tff(35719,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB29, 0) <=> v124(constB29, 0)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35720,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB29, B) <=> v124(constB29, B)))) | (v121(constB29, 0) <=> v124(constB29, 0))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35719, 35718])).
% 219.03/141.61 tff(35721,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35720, 35588, 35712])).
% 219.03/141.61 tff(35722,plain,(v121(constB29, 0) <=> v124(constB29, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35723,plain,
% 219.03/141.61 ((~(v121(constB29, 0) <=> v124(constB29, 0))) | v121(constB29, 0) | (~v124(constB29, 0))),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35724,plain,
% 219.03/141.61 (v121(constB29, 0) | (~v124(constB29, 0))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35723, 35722])).
% 219.03/141.61 tff(35725,plain,
% 219.03/141.61 (v121(constB29, 0)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35724, 35711])).
% 219.03/141.61 tff(35726,assumption,(~(v123(constB30, 0) <=> v121(constB29, 0))), introduced(assumption)).
% 219.03/141.61 tff(35727,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 0) <=> v121(constB29, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 0) <=> v121(constB29, 0)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35728,plain,
% 219.03/141.61 (($false | $false | (v123(constB30, 0) <=> v121(constB29, 0))) <=> (v123(constB30, 0) <=> v121(constB29, 0))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35729,plain,
% 219.03/141.61 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB30, 0) <=> v121(constB29, 0))) <=> ($false | $false | (v123(constB30, 0) <=> v121(constB29, 0)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.61 tff(35730,plain,
% 219.03/141.61 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB30, 0) <=> v121(constB29, 0))) <=> (v123(constB30, 0) <=> v121(constB29, 0))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35729, 35728])).
% 219.03/141.61 tff(35731,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB30, 0) <=> v121(constB29, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 0) <=> v121(constB29, 0)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35730])).
% 219.03/141.61 tff(35732,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB30, 0) <=> v121(constB29, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 0) <=> v121(constB29, 0)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35731, 35727])).
% 219.03/141.61 tff(35733,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB30, 0) <=> v121(constB29, 0)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35734,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB30, B) <=> v121(constB29, B)))) | (v123(constB30, 0) <=> v121(constB29, 0))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35733, 35732])).
% 219.03/141.61 tff(35735,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35734, 35572, 35726])).
% 219.03/141.61 tff(35736,plain,(v123(constB30, 0) <=> v121(constB29, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35737,plain,
% 219.03/141.61 ((~(v123(constB30, 0) <=> v121(constB29, 0))) | v123(constB30, 0) | (~v121(constB29, 0))),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35738,plain,
% 219.03/141.61 (v123(constB30, 0) | (~v121(constB29, 0))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35737, 35736])).
% 219.03/141.61 tff(35739,plain,
% 219.03/141.61 (v123(constB30, 0)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35738, 35725])).
% 219.03/141.61 tff(35740,plain,
% 219.03/141.61 ((~(v84(constB30, 0) <=> v123(constB30, 0))) | v84(constB30, 0) | (~v123(constB30, 0))),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35741,plain,
% 219.03/141.61 (v84(constB30, 0)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35740, 35739, 35699])).
% 219.03/141.61 tff(35742,assumption,(~(v84(constB31, 0) <=> v84(constB30, 0))), introduced(assumption)).
% 219.03/141.61 tff(35743,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31155, 29625, 35742])).
% 219.03/141.61 tff(35744,plain,(v84(constB31, 0) <=> v84(constB30, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35745,plain,
% 219.03/141.61 (v84(constB31, 0) | (~v84(constB30, 0))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31169, 35744])).
% 219.03/141.61 tff(35746,plain,
% 219.03/141.61 (v84(constB31, 0)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35745, 35741])).
% 219.03/141.61 tff(35747,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31406, 35746, 35698, 31392, 35649])).
% 219.03/141.61 tff(35748,plain,((~v117(constB29)) | (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))) | (~(v84(constB30, 0) <=> v123(constB30, 0))) | (~(v84(constB30, 1) <=> v123(constB30, 1)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35749,plain,
% 219.03/141.61 (~v117(constB29)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35748, 35564, 35558, 35546])).
% 219.03/141.61 tff(35750,assumption,(~(v117(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))))), introduced(assumption)).
% 219.03/141.61 tff(35751,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[30962, 656, 35750])).
% 219.03/141.61 tff(35752,plain,(v117(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35753,plain,
% 219.03/141.61 (v117(constB29) | (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[34931, 35752])).
% 219.03/141.61 tff(35754,plain,
% 219.03/141.61 (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35753, 35749])).
% 219.03/141.61 tff(35755,assumption,(v84(constB32, 2)), introduced(assumption)).
% 219.03/141.61 tff(35756,assumption,(~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))), introduced(assumption)).
% 219.03/141.61 tff(35757,assumption,(~(v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))))), introduced(assumption)).
% 219.03/141.61 tff(35758,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31187, 622, 35757])).
% 219.03/141.61 tff(35759,plain,(v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35760,plain,
% 219.03/141.61 (v115(constB31) | (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31364, 35759])).
% 219.03/141.61 tff(35761,plain,
% 219.03/141.61 (v115(constB31)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35760, 35756])).
% 219.03/141.61 tff(35762,assumption,(v115(constB31)), introduced(assumption)).
% 219.03/141.61 tff(35763,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))), introduced(assumption)).
% 219.03/141.61 tff(35764,plain,
% 219.03/141.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B))))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35765,plain,
% 219.03/141.61 (((~v115(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B))))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35766,plain,
% 219.03/141.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35765])).
% 219.03/141.61 tff(35767,plain,
% 219.03/141.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B))))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35766, 35764])).
% 219.03/141.61 tff(35768,plain,
% 219.03/141.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35769,plain,
% 219.03/141.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35768, 35767])).
% 219.03/141.61 tff(35770,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35769, 2144, 35763, 35762])).
% 219.03/141.61 tff(35771,plain,((~v115(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35772,plain,
% 219.03/141.61 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35771, 35761])).
% 219.03/141.61 tff(35773,assumption,(v124(constB31, 2)), introduced(assumption)).
% 219.03/141.61 tff(35774,plain,
% 219.03/141.61 ((~(v124(constB31, 2) <=> b011(2))) | (~v124(constB31, 2)) | b011(2)),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35775,plain,
% 219.03/141.61 (~(v124(constB31, 2) <=> b011(2))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35774, 2569, 35773])).
% 219.03/141.61 tff(35776,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))), introduced(assumption)).
% 219.03/141.61 tff(35777,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | (v124(constB31, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | (v124(constB31, 2) <=> b011(2)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35778,plain,
% 219.03/141.61 (($false | $false | (v124(constB31, 2) <=> b011(2))) <=> (v124(constB31, 2) <=> b011(2))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35779,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b011(2))) <=> ($false | $false | (v124(constB31, 2) <=> b011(2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.61 tff(35780,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b011(2))) <=> (v124(constB31, 2) <=> b011(2))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35779, 35778])).
% 219.03/141.61 tff(35781,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | (v124(constB31, 2) <=> b011(2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35780])).
% 219.03/141.61 tff(35782,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | (v124(constB31, 2) <=> b011(2)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35781, 35777])).
% 219.03/141.61 tff(35783,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b011(2)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35784,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | (v124(constB31, 2) <=> b011(2))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35783, 35782])).
% 219.03/141.61 tff(35785,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35784, 35776, 35775])).
% 219.03/141.61 tff(35786,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | (~v124(constB31, 2))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35787,plain,
% 219.03/141.61 (~v124(constB31, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35786, 35772])).
% 219.03/141.61 tff(35788,assumption,(~(v121(constB31, 2) <=> v124(constB31, 2))), introduced(assumption)).
% 219.03/141.61 tff(35789,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 2) <=> v124(constB31, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 2) <=> v124(constB31, 2)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35790,plain,
% 219.03/141.61 (($false | $false | (v121(constB31, 2) <=> v124(constB31, 2))) <=> (v121(constB31, 2) <=> v124(constB31, 2))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35791,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB31, 2) <=> v124(constB31, 2))) <=> ($false | $false | (v121(constB31, 2) <=> v124(constB31, 2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.61 tff(35792,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB31, 2) <=> v124(constB31, 2))) <=> (v121(constB31, 2) <=> v124(constB31, 2))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35791, 35790])).
% 219.03/141.61 tff(35793,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB31, 2) <=> v124(constB31, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 2) <=> v124(constB31, 2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35792])).
% 219.03/141.61 tff(35794,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB31, 2) <=> v124(constB31, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 2) <=> v124(constB31, 2)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35793, 35789])).
% 219.03/141.61 tff(35795,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB31, 2) <=> v124(constB31, 2)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35796,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 2) <=> v124(constB31, 2))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35795, 35794])).
% 219.03/141.61 tff(35797,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35796, 34806, 35788])).
% 219.03/141.61 tff(35798,plain,(v121(constB31, 2) <=> v124(constB31, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35799,plain,
% 219.03/141.61 ((~(v121(constB31, 2) <=> v124(constB31, 2))) | (~v121(constB31, 2)) | v124(constB31, 2)),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35800,plain,
% 219.03/141.61 ((~v121(constB31, 2)) | v124(constB31, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35799, 35798])).
% 219.03/141.61 tff(35801,plain,
% 219.03/141.61 (~v121(constB31, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35800, 35787])).
% 219.03/141.61 tff(35802,assumption,(~(v123(constB32, 2) <=> v121(constB31, 2))), introduced(assumption)).
% 219.03/141.61 tff(35803,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 2) <=> v121(constB31, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 2) <=> v121(constB31, 2)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35804,plain,
% 219.03/141.61 (($false | $false | (v123(constB32, 2) <=> v121(constB31, 2))) <=> (v123(constB32, 2) <=> v121(constB31, 2))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35805,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB32, 2) <=> v121(constB31, 2))) <=> ($false | $false | (v123(constB32, 2) <=> v121(constB31, 2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.61 tff(35806,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB32, 2) <=> v121(constB31, 2))) <=> (v123(constB32, 2) <=> v121(constB31, 2))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35805, 35804])).
% 219.03/141.61 tff(35807,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB32, 2) <=> v121(constB31, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 2) <=> v121(constB31, 2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35806])).
% 219.03/141.61 tff(35808,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB32, 2) <=> v121(constB31, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 2) <=> v121(constB31, 2)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35807, 35803])).
% 219.03/141.61 tff(35809,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB32, 2) <=> v121(constB31, 2)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35810,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 2) <=> v121(constB31, 2))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35809, 35808])).
% 219.03/141.61 tff(35811,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35810, 34785, 35802])).
% 219.03/141.61 tff(35812,plain,(v123(constB32, 2) <=> v121(constB31, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35813,plain,
% 219.03/141.61 ((~(v123(constB32, 2) <=> v121(constB31, 2))) | (~v123(constB32, 2)) | v121(constB31, 2)),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35814,plain,
% 219.03/141.61 ((~v123(constB32, 2)) | v121(constB31, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35813, 35812])).
% 219.03/141.61 tff(35815,plain,
% 219.03/141.61 (~v123(constB32, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35814, 35801])).
% 219.03/141.61 tff(35816,plain,
% 219.03/141.61 ((~(v84(constB32, 2) <=> v123(constB32, 2))) | (~v84(constB32, 2)) | v123(constB32, 2)),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35817,plain,
% 219.03/141.61 (~(v84(constB32, 2) <=> v123(constB32, 2))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35816, 35815, 35755])).
% 219.03/141.61 tff(35818,assumption,(~(v84(constB32, 2) <=> v123(constB32, 2))), introduced(assumption)).
% 219.03/141.61 tff(35819,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 2) <=> v123(constB32, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 2) <=> v123(constB32, 2)))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35820,plain,
% 219.03/141.61 (($false | $false | (v84(constB32, 2) <=> v123(constB32, 2))) <=> (v84(constB32, 2) <=> v123(constB32, 2))),
% 219.03/141.61 inference(rewrite,[status(thm)],[])).
% 219.03/141.61 tff(35821,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB32, 2) <=> v123(constB32, 2))) <=> ($false | $false | (v84(constB32, 2) <=> v123(constB32, 2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.61 tff(35822,plain,
% 219.03/141.61 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB32, 2) <=> v123(constB32, 2))) <=> (v84(constB32, 2) <=> v123(constB32, 2))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35821, 35820])).
% 219.03/141.61 tff(35823,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB32, 2) <=> v123(constB32, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 2) <=> v123(constB32, 2)))),
% 219.03/141.61 inference(monotonicity,[status(thm)],[35822])).
% 219.03/141.61 tff(35824,plain,
% 219.03/141.61 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB32, 2) <=> v123(constB32, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 2) <=> v123(constB32, 2)))),
% 219.03/141.61 inference(transitivity,[status(thm)],[35823, 35819])).
% 219.03/141.61 tff(35825,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB32, 2) <=> v123(constB32, 2)))),
% 219.03/141.61 inference(quant_inst,[status(thm)],[])).
% 219.03/141.61 tff(35826,plain,
% 219.03/141.61 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 2) <=> v123(constB32, 2))),
% 219.03/141.61 inference(modus_ponens,[status(thm)],[35825, 35824])).
% 219.03/141.61 tff(35827,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35826, 34413, 35818])).
% 219.03/141.61 tff(35828,plain,((v84(constB32, 2) <=> v123(constB32, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35829,plain,
% 219.03/141.61 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35828, 35817])).
% 219.03/141.61 tff(35830,plain,
% 219.03/141.61 (~v94(constB32)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[34410, 35829])).
% 219.03/141.61 tff(35831,plain,
% 219.03/141.61 ((~v95(constB32)) | (~v104(constB32))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[34402, 35830])).
% 219.03/141.61 tff(35832,plain,
% 219.03/141.61 (~v104(constB32)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[34399, 35831])).
% 219.03/141.61 tff(35833,plain,
% 219.03/141.61 (~v102(constB31)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31316, 35832])).
% 219.03/141.61 tff(35834,plain,
% 219.03/141.61 (~(v105(constB31) | v106(constB31))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31319, 35833])).
% 219.03/141.61 tff(35835,plain,
% 219.03/141.61 ((v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)) | (~v84(constB31, 2))),
% 219.03/141.61 inference(tautology,[status(thm)],[])).
% 219.03/141.61 tff(35836,plain,
% 219.03/141.61 (~v84(constB31, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35835, 35756])).
% 219.03/141.61 tff(35837,plain,
% 219.03/141.61 (~v84(constB31, 0)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31189, 35756])).
% 219.03/141.61 tff(35838,assumption,(~(v112(constB31) | v115(constB31))), introduced(assumption)).
% 219.03/141.61 tff(35839,plain,
% 219.03/141.61 (~v115(constB31)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31362, 35838])).
% 219.03/141.61 tff(35840,plain,
% 219.03/141.61 (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31364, 35839, 31188])).
% 219.03/141.61 tff(35841,plain,
% 219.03/141.61 (~v84(constB31, 1)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31416, 35840, 31412, 31396])).
% 219.03/141.61 tff(35842,plain,
% 219.03/141.61 (~v112(constB31)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31372, 35838])).
% 219.03/141.61 tff(35843,plain,
% 219.03/141.61 (~(v113(constB31) | v114(constB31))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31374, 35842, 29589])).
% 219.03/141.61 tff(35844,plain,
% 219.03/141.61 (~v113(constB31)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31387, 35843])).
% 219.03/141.61 tff(35845,assumption,(~(v113(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))))), introduced(assumption)).
% 219.03/141.61 tff(35846,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31146, 597, 35845])).
% 219.03/141.61 tff(35847,plain,(v113(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.61 tff(35848,plain,
% 219.03/141.61 (v113(constB31) | (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31389, 35847])).
% 219.03/141.61 tff(35849,plain,
% 219.03/141.61 (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[35848, 35844])).
% 219.03/141.61 tff(35850,plain,
% 219.03/141.61 ($false),
% 219.03/141.61 inference(unit_resolution,[status(thm)],[31399, 35849, 35841, 31412, 31396])).
% 219.03/141.61 tff(35851,plain,((v112(constB31) | v115(constB31)) | v84(constB31, 0) | v84(constB31, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(35852,plain,
% 219.03/141.62 (v112(constB31) | v115(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35851, 35837, 35836])).
% 219.03/141.62 tff(35853,plain,
% 219.03/141.62 (v111(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31359, 35852, 29587])).
% 219.03/141.62 tff(35854,plain,
% 219.03/141.62 (v111(constB31) | v116(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31357, 35853])).
% 219.03/141.62 tff(35855,plain,
% 219.03/141.62 (v110(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31354, 35854, 29585])).
% 219.03/141.62 tff(35856,plain,
% 219.03/141.62 (v110(constB31) | v117(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31352, 35855])).
% 219.03/141.62 tff(35857,plain,
% 219.03/141.62 (v109(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31349, 35856, 29583])).
% 219.03/141.62 tff(35858,plain,
% 219.03/141.62 (v109(constB31) | v118(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31347, 35857])).
% 219.03/141.62 tff(35859,plain,
% 219.03/141.62 (v108(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31344, 35858, 29581])).
% 219.03/141.62 tff(35860,plain,
% 219.03/141.62 (v108(constB31) | v119(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31342, 35859])).
% 219.03/141.62 tff(35861,assumption,(~(v107(constB31) <=> (v108(constB31) | v119(constB31)))), introduced(assumption)).
% 219.03/141.62 tff(35862,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[29578, 187, 35861])).
% 219.03/141.62 tff(35863,plain,(v107(constB31) <=> (v108(constB31) | v119(constB31))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(35864,plain,
% 219.03/141.62 (v107(constB31) | (~(v108(constB31) | v119(constB31)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31334, 35863])).
% 219.03/141.62 tff(35865,plain,
% 219.03/141.62 (v107(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35864, 35860])).
% 219.03/141.62 tff(35866,plain,
% 219.03/141.62 (~((~v107(constB31)) | (~v120(constB31)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31332, 35865])).
% 219.03/141.62 tff(35867,plain,
% 219.03/141.62 (v106(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31324, 35866])).
% 219.03/141.62 tff(35868,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31321, 35867, 35834])).
% 219.03/141.62 tff(35869,plain,((v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)) | (~v84(constB32, 2))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(35870,plain,
% 219.03/141.62 (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35869, 35755])).
% 219.03/141.62 tff(35871,assumption,(~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))), introduced(assumption)).
% 219.03/141.62 tff(35872,plain,
% 219.03/141.62 (~v84(constB29, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[30864, 35871])).
% 219.03/141.62 tff(35873,plain,
% 219.03/141.62 (v108(constB29) | v119(constB29)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35453, 35872])).
% 219.03/141.62 tff(35874,plain,
% 219.03/141.62 (v107(constB29)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35459, 35873])).
% 219.03/141.62 tff(35875,plain,
% 219.03/141.62 (~((~v107(constB29)) | (~v120(constB29)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35467, 35874])).
% 219.03/141.62 tff(35876,plain,
% 219.03/141.62 (v106(constB29)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35470, 35875])).
% 219.03/141.62 tff(35877,plain,
% 219.03/141.62 (v105(constB29) | v106(constB29)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35472, 35876])).
% 219.03/141.62 tff(35878,plain,
% 219.03/141.62 (v102(constB29)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35475, 35877])).
% 219.03/141.62 tff(35879,plain,
% 219.03/141.62 (v104(constB30)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35478, 35878])).
% 219.03/141.62 tff(35880,plain,
% 219.03/141.62 (~((~v95(constB30)) | (~v104(constB30)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35509, 35879])).
% 219.03/141.62 tff(35881,plain,
% 219.03/141.62 (v94(constB30)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35512, 35880])).
% 219.03/141.62 tff(35882,plain,
% 219.03/141.62 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35520, 35881])).
% 219.03/141.62 tff(35883,plain,
% 219.03/141.62 (v84(constB30, 0) <=> v123(constB30, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35557, 35882])).
% 219.03/141.62 tff(35884,assumption,(~(v114(constB29) <=> (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))))), introduced(assumption)).
% 219.03/141.62 tff(35885,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[29647, 298, 35884])).
% 219.03/141.62 tff(35886,plain,(v114(constB29) <=> (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(35887,plain,
% 219.03/141.62 (v114(constB29) | (v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35441, 35886])).
% 219.03/141.62 tff(35888,plain,
% 219.03/141.62 (v114(constB29)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35887, 35871])).
% 219.03/141.62 tff(35889,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))), introduced(assumption)).
% 219.03/141.62 tff(35890,assumption,(v114(constB29)), introduced(assumption)).
% 219.03/141.62 tff(35891,plain,
% 219.03/141.62 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B))))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(35892,plain,
% 219.03/141.62 (((~v114(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B))))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(35893,plain,
% 219.03/141.62 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[35892])).
% 219.03/141.62 tff(35894,plain,
% 219.03/141.62 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B))))),
% 219.03/141.62 inference(transitivity,[status(thm)],[35893, 35891])).
% 219.03/141.62 tff(35895,plain,
% 219.03/141.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.62 inference(quant_inst,[status(thm)],[])).
% 219.03/141.62 tff(35896,plain,
% 219.03/141.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))),
% 219.03/141.62 inference(modus_ponens,[status(thm)],[35895, 35894])).
% 219.03/141.62 tff(35897,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35896, 2418, 35890, 35889])).
% 219.03/141.62 tff(35898,plain,((~v114(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(35899,plain,
% 219.03/141.62 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35898, 35888])).
% 219.03/141.62 tff(35900,plain,
% 219.03/141.62 (v84(constB30, 2) <=> v123(constB30, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35533, 35882])).
% 219.03/141.62 tff(35901,assumption,(v84(constB30, 2) <=> v123(constB30, 2)), introduced(assumption)).
% 219.03/141.62 tff(35902,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))), introduced(assumption)).
% 219.03/141.62 tff(35903,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 2) <=> b010(2)))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(35904,plain,
% 219.03/141.62 (($false | $false | (v124(constB29, 2) <=> b010(2))) <=> (v124(constB29, 2) <=> b010(2))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(35905,plain,
% 219.03/141.62 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b010(2))) <=> ($false | $false | (v124(constB29, 2) <=> b010(2)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.62 tff(35906,plain,
% 219.03/141.62 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b010(2))) <=> (v124(constB29, 2) <=> b010(2))),
% 219.03/141.62 inference(transitivity,[status(thm)],[35905, 35904])).
% 219.03/141.62 tff(35907,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 2) <=> b010(2)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[35906])).
% 219.03/141.62 tff(35908,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 2) <=> b010(2)))),
% 219.03/141.62 inference(transitivity,[status(thm)],[35907, 35903])).
% 219.03/141.62 tff(35909,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b010(2)))),
% 219.03/141.62 inference(quant_inst,[status(thm)],[])).
% 219.03/141.62 tff(35910,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 2) <=> b010(2))),
% 219.03/141.62 inference(modus_ponens,[status(thm)],[35909, 35908])).
% 219.03/141.62 tff(35911,plain,
% 219.03/141.62 (v124(constB29, 2) <=> b010(2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35910, 35902])).
% 219.03/141.62 tff(35912,plain,
% 219.03/141.62 ((~(v124(constB29, 2) <=> b010(2))) | (~v124(constB29, 2)) | b010(2)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35913,plain,
% 219.03/141.62 ((~(v124(constB29, 2) <=> b010(2))) | (~v124(constB29, 2))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35912, 2485])).
% 219.03/141.62 tff(35914,plain,
% 219.03/141.62 (~v124(constB29, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35913, 35911])).
% 219.03/141.62 tff(35915,assumption,(~(v121(constB29, 2) <=> v124(constB29, 2))), introduced(assumption)).
% 219.03/141.62 tff(35916,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35596, 35588, 35915])).
% 219.03/141.62 tff(35917,plain,(v121(constB29, 2) <=> v124(constB29, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(35918,plain,
% 219.03/141.62 ((~(v121(constB29, 2) <=> v124(constB29, 2))) | (~v121(constB29, 2)) | v124(constB29, 2)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35919,plain,
% 219.03/141.62 ((~v121(constB29, 2)) | v124(constB29, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35918, 35917])).
% 219.03/141.62 tff(35920,plain,
% 219.03/141.62 (~v121(constB29, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35919, 35914])).
% 219.03/141.62 tff(35921,assumption,(~(v123(constB30, 2) <=> v121(constB29, 2))), introduced(assumption)).
% 219.03/141.62 tff(35922,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35580, 35572, 35921])).
% 219.03/141.62 tff(35923,plain,(v123(constB30, 2) <=> v121(constB29, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(35924,plain,
% 219.03/141.62 ((~(v123(constB30, 2) <=> v121(constB29, 2))) | (~v123(constB30, 2)) | v121(constB29, 2)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35925,plain,
% 219.03/141.62 ((~v123(constB30, 2)) | v121(constB29, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35924, 35923])).
% 219.03/141.62 tff(35926,plain,
% 219.03/141.62 (~v123(constB30, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35925, 35920])).
% 219.03/141.62 tff(35927,plain,
% 219.03/141.62 ((~(v84(constB30, 2) <=> v123(constB30, 2))) | (~v84(constB30, 2)) | v123(constB30, 2)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35928,plain,
% 219.03/141.62 (~v84(constB30, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35927, 35926, 35901])).
% 219.03/141.62 tff(35929,plain,
% 219.03/141.62 ((~(v84(constB31, 2) <=> v84(constB30, 2))) | (~v84(constB31, 2)) | v84(constB30, 2)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35930,plain,
% 219.03/141.62 ((~v84(constB31, 2)) | v84(constB30, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35929, 35647])).
% 219.03/141.62 tff(35931,plain,
% 219.03/141.62 (~v84(constB31, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35930, 35928])).
% 219.03/141.62 tff(35932,plain,
% 219.03/141.62 (v121(constB29, 0) <=> v124(constB29, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35720, 35588])).
% 219.03/141.62 tff(35933,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 0) <=> b010(0)))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(35934,plain,
% 219.03/141.62 (($false | $false | (v124(constB29, 0) <=> b010(0))) <=> (v124(constB29, 0) <=> b010(0))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(35935,plain,
% 219.03/141.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b010(0))) <=> ($false | $false | (v124(constB29, 0) <=> b010(0)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.62 tff(35936,plain,
% 219.03/141.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b010(0))) <=> (v124(constB29, 0) <=> b010(0))),
% 219.03/141.62 inference(transitivity,[status(thm)],[35935, 35934])).
% 219.03/141.62 tff(35937,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 0) <=> b010(0)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[35936])).
% 219.03/141.62 tff(35938,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 0) <=> b010(0)))),
% 219.03/141.62 inference(transitivity,[status(thm)],[35937, 35933])).
% 219.03/141.62 tff(35939,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b010(0)))),
% 219.03/141.62 inference(quant_inst,[status(thm)],[])).
% 219.03/141.62 tff(35940,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 0) <=> b010(0))),
% 219.03/141.62 inference(modus_ponens,[status(thm)],[35939, 35938])).
% 219.03/141.62 tff(35941,plain,
% 219.03/141.62 (v124(constB29, 0) <=> b010(0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35940, 35902])).
% 219.03/141.62 tff(35942,plain,
% 219.03/141.62 ((~(v124(constB29, 0) <=> b010(0))) | (~v124(constB29, 0)) | b010(0)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35943,plain,
% 219.03/141.62 ((~(v124(constB29, 0) <=> b010(0))) | (~v124(constB29, 0))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35942, 2437])).
% 219.03/141.62 tff(35944,plain,
% 219.03/141.62 (~v124(constB29, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35943, 35941])).
% 219.03/141.62 tff(35945,plain,
% 219.03/141.62 ((~(v121(constB29, 0) <=> v124(constB29, 0))) | (~v121(constB29, 0)) | v124(constB29, 0)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35946,plain,
% 219.03/141.62 ((~(v121(constB29, 0) <=> v124(constB29, 0))) | (~v121(constB29, 0))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35945, 35944])).
% 219.03/141.62 tff(35947,plain,
% 219.03/141.62 (~v121(constB29, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35946, 35932])).
% 219.03/141.62 tff(35948,plain,
% 219.03/141.62 ((~(v123(constB30, 0) <=> v121(constB29, 0))) | (~v123(constB30, 0)) | v121(constB29, 0)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35949,plain,
% 219.03/141.62 ((~v123(constB30, 0)) | v121(constB29, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35948, 35736])).
% 219.03/141.62 tff(35950,plain,
% 219.03/141.62 (~v123(constB30, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35949, 35947])).
% 219.03/141.62 tff(35951,plain,
% 219.03/141.62 ((~(v84(constB30, 0) <=> v123(constB30, 0))) | (~v84(constB30, 0)) | v123(constB30, 0)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35952,plain,
% 219.03/141.62 (~v84(constB30, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35951, 35950, 35699])).
% 219.03/141.62 tff(35953,plain,
% 219.03/141.62 ((~(v84(constB31, 0) <=> v84(constB30, 0))) | (~v84(constB31, 0)) | v84(constB30, 0)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35954,plain,
% 219.03/141.62 ((~v84(constB31, 0)) | v84(constB30, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35953, 35744])).
% 219.03/141.62 tff(35955,plain,
% 219.03/141.62 (~v84(constB31, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35954, 35952])).
% 219.03/141.62 tff(35956,plain,
% 219.03/141.62 (~v84(constB31, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31416, 35955, 31410, 35931])).
% 219.03/141.62 tff(35957,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31399, 35956, 35955, 31395, 35931])).
% 219.03/141.62 tff(35958,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))) | (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))) | (~(v84(constB30, 0) <=> v123(constB30, 0))) | (~(v84(constB30, 2) <=> v123(constB30, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(35959,plain,
% 219.03/141.62 (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35958, 35900, 31410, 35899, 35883])).
% 219.03/141.62 tff(35960,assumption,(~v124(constB29, 1)), introduced(assumption)).
% 219.03/141.62 tff(35961,plain,
% 219.03/141.62 ((~(v124(constB29, 1) <=> b010(1))) | v124(constB29, 1) | (~b010(1))),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35962,plain,
% 219.03/141.62 (~(v124(constB29, 1) <=> b010(1))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35961, 2513, 35960])).
% 219.03/141.62 tff(35963,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 1) <=> b010(1)))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(35964,plain,
% 219.03/141.62 (($false | $false | (v124(constB29, 1) <=> b010(1))) <=> (v124(constB29, 1) <=> b010(1))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(35965,plain,
% 219.03/141.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b010(1))) <=> ($false | $false | (v124(constB29, 1) <=> b010(1)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.62 tff(35966,plain,
% 219.03/141.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b010(1))) <=> (v124(constB29, 1) <=> b010(1))),
% 219.03/141.62 inference(transitivity,[status(thm)],[35965, 35964])).
% 219.03/141.62 tff(35967,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 1) <=> b010(1)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[35966])).
% 219.03/141.62 tff(35968,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 1) <=> b010(1)))),
% 219.03/141.62 inference(transitivity,[status(thm)],[35967, 35963])).
% 219.03/141.62 tff(35969,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b010(1)))),
% 219.03/141.62 inference(quant_inst,[status(thm)],[])).
% 219.03/141.62 tff(35970,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | (v124(constB29, 1) <=> b010(1))),
% 219.03/141.62 inference(modus_ponens,[status(thm)],[35969, 35968])).
% 219.03/141.62 tff(35971,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35970, 35902, 35962])).
% 219.03/141.62 tff(35972,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b010(B)))) | v124(constB29, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(35973,plain,
% 219.03/141.62 (v124(constB29, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35972, 35899])).
% 219.03/141.62 tff(35974,plain,
% 219.03/141.62 ((~(v121(constB29, 1) <=> v124(constB29, 1))) | v121(constB29, 1) | (~v124(constB29, 1))),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35975,plain,
% 219.03/141.62 (v121(constB29, 1) | (~v124(constB29, 1))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35974, 35673])).
% 219.03/141.62 tff(35976,plain,
% 219.03/141.62 (v121(constB29, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35975, 35973])).
% 219.03/141.62 tff(35977,plain,
% 219.03/141.62 ((~(v123(constB30, 1) <=> v121(constB29, 1))) | v123(constB30, 1) | (~v121(constB29, 1))),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35978,plain,
% 219.03/141.62 (v123(constB30, 1) | (~v121(constB29, 1))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35977, 35687])).
% 219.03/141.62 tff(35979,plain,
% 219.03/141.62 (v123(constB30, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35978, 35976])).
% 219.03/141.62 tff(35980,plain,
% 219.03/141.62 (v84(constB30, 1) <=> v123(constB30, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35545, 35882])).
% 219.03/141.62 tff(35981,plain,
% 219.03/141.62 ((~(v84(constB30, 1) <=> v123(constB30, 1))) | v84(constB30, 1) | (~v123(constB30, 1))),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35982,plain,
% 219.03/141.62 (v84(constB30, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35981, 35980, 35979])).
% 219.03/141.62 tff(35983,plain,
% 219.03/141.62 (v84(constB31, 1) | (~v84(constB30, 1))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31138, 35695])).
% 219.03/141.62 tff(35984,plain,
% 219.03/141.62 (v84(constB31, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35983, 35982])).
% 219.03/141.62 tff(35985,plain,
% 219.03/141.62 ((v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)) | (~v84(constB31, 1))),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(35986,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35985, 35984, 35959])).
% 219.03/141.62 tff(35987,plain,((v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))) | (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(35988,plain,
% 219.03/141.62 (v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35987, 35870])).
% 219.03/141.62 tff(35989,plain,
% 219.03/141.62 (~v84(constB28, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[34970, 34907])).
% 219.03/141.62 tff(35990,plain,
% 219.03/141.62 (~(v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35439, 34907, 35427, 35425, 35435])).
% 219.03/141.62 tff(35991,plain,
% 219.03/141.62 (~v84(constB29, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35418, 35990])).
% 219.03/141.62 tff(35992,plain,
% 219.03/141.62 (~v84(constB28, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[34965, 35991])).
% 219.03/141.62 tff(35993,plain,
% 219.03/141.62 (~v84(constB29, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[30895, 35990])).
% 219.03/141.62 tff(35994,plain,
% 219.03/141.62 (~v84(constB28, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[30893, 35993])).
% 219.03/141.62 tff(35995,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35413, 35994, 35992, 35989])).
% 219.03/141.62 tff(35996,plain,(v84(constB29, 1) | (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))) | (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))) | (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(35997,plain,
% 219.03/141.62 (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35996, 35988, 34907, 35754])).
% 219.03/141.62 tff(35998,assumption,(~(v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))))), introduced(assumption)).
% 219.03/141.62 tff(35999,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31048, 394, 35998])).
% 219.03/141.62 tff(36000,plain,(v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(36001,plain,
% 219.03/141.62 (v118(constB29) | (v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35423, 36000])).
% 219.03/141.62 tff(36002,plain,
% 219.03/141.62 (v118(constB29)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36001, 35997])).
% 219.03/141.62 tff(36003,assumption,(v118(constB29)), introduced(assumption)).
% 219.03/141.62 tff(36004,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))), introduced(assumption)).
% 219.03/141.62 tff(36005,plain,
% 219.03/141.62 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B))))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36006,plain,
% 219.03/141.62 (((~v118(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B))))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36007,plain,
% 219.03/141.62 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[36006])).
% 219.03/141.62 tff(36008,plain,
% 219.03/141.62 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B))))),
% 219.03/141.62 inference(transitivity,[status(thm)],[36007, 36005])).
% 219.03/141.62 tff(36009,plain,
% 219.03/141.62 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.62 inference(quant_inst,[status(thm)],[])).
% 219.03/141.62 tff(36010,plain,
% 219.03/141.62 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))),
% 219.03/141.62 inference(modus_ponens,[status(thm)],[36009, 36008])).
% 219.03/141.62 tff(36011,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36010, 1977, 36004, 36003])).
% 219.03/141.62 tff(36012,plain,((~v118(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(36013,plain,
% 219.03/141.62 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36012, 36002])).
% 219.03/141.62 tff(36014,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 2) <=> b110(2)))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36015,plain,
% 219.03/141.62 (($false | $false | (v124(constB29, 2) <=> b110(2))) <=> (v124(constB29, 2) <=> b110(2))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36016,plain,
% 219.03/141.62 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b110(2))) <=> ($false | $false | (v124(constB29, 2) <=> b110(2)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.62 tff(36017,plain,
% 219.03/141.62 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b110(2))) <=> (v124(constB29, 2) <=> b110(2))),
% 219.03/141.62 inference(transitivity,[status(thm)],[36016, 36015])).
% 219.03/141.62 tff(36018,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 2) <=> b110(2)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[36017])).
% 219.03/141.62 tff(36019,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 2) <=> b110(2)))),
% 219.03/141.62 inference(transitivity,[status(thm)],[36018, 36014])).
% 219.03/141.62 tff(36020,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b110(2)))),
% 219.03/141.62 inference(quant_inst,[status(thm)],[])).
% 219.03/141.62 tff(36021,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 2) <=> b110(2))),
% 219.03/141.62 inference(modus_ponens,[status(thm)],[36020, 36019])).
% 219.03/141.62 tff(36022,plain,
% 219.03/141.62 (v124(constB29, 2) <=> b110(2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36021, 36013])).
% 219.03/141.62 tff(36023,plain,
% 219.03/141.62 ((~(v124(constB29, 2) <=> b110(2))) | v124(constB29, 2) | (~b110(2))),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(36024,plain,
% 219.03/141.62 ((~(v124(constB29, 2) <=> b110(2))) | v124(constB29, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36023, 1598])).
% 219.03/141.62 tff(36025,plain,
% 219.03/141.62 (v124(constB29, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36024, 36022])).
% 219.03/141.62 tff(36026,plain,
% 219.03/141.62 (v121(constB29, 2) | (~v124(constB29, 2))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35617, 35917])).
% 219.03/141.62 tff(36027,plain,
% 219.03/141.62 (v121(constB29, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36026, 36025])).
% 219.03/141.62 tff(36028,plain,
% 219.03/141.62 (v123(constB30, 2) | (~v121(constB29, 2))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35640, 35923])).
% 219.03/141.62 tff(36029,plain,
% 219.03/141.62 (v123(constB30, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36028, 36027])).
% 219.03/141.62 tff(36030,plain,
% 219.03/141.62 (v84(constB30, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35637, 36029, 35534])).
% 219.03/141.62 tff(36031,plain,
% 219.03/141.62 (v84(constB31, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35648, 36030])).
% 219.03/141.62 tff(36032,plain,
% 219.03/141.62 (~v84(constB30, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35983, 31393])).
% 219.03/141.62 tff(36033,plain,
% 219.03/141.62 (~v123(constB30, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35981, 36032, 35546])).
% 219.03/141.62 tff(36034,plain,
% 219.03/141.62 (~v121(constB29, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35978, 36033])).
% 219.03/141.62 tff(36035,plain,
% 219.03/141.62 (~v124(constB29, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35975, 36034])).
% 219.03/141.62 tff(36036,plain,
% 219.03/141.62 ((v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)) | v84(constB31, 1)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(36037,plain,
% 219.03/141.62 (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36036, 31393])).
% 219.03/141.62 tff(36038,plain,
% 219.03/141.62 (v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35987, 36037])).
% 219.03/141.62 tff(36039,plain,
% 219.03/141.62 (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35996, 36038, 34907, 35435])).
% 219.03/141.62 tff(36040,plain,
% 219.03/141.62 (v118(constB29)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36001, 36039])).
% 219.03/141.62 tff(36041,plain,
% 219.03/141.62 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36012, 36040])).
% 219.03/141.62 tff(36042,plain,
% 219.03/141.62 ((~(v124(constB29, 1) <=> b110(1))) | v124(constB29, 1) | (~b110(1))),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(36043,plain,
% 219.03/141.62 (~(v124(constB29, 1) <=> b110(1))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36042, 1662, 35960])).
% 219.03/141.62 tff(36044,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))), introduced(assumption)).
% 219.03/141.62 tff(36045,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 1) <=> b110(1)))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36046,plain,
% 219.03/141.62 (($false | $false | (v124(constB29, 1) <=> b110(1))) <=> (v124(constB29, 1) <=> b110(1))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36047,plain,
% 219.03/141.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b110(1))) <=> ($false | $false | (v124(constB29, 1) <=> b110(1)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.62 tff(36048,plain,
% 219.03/141.62 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b110(1))) <=> (v124(constB29, 1) <=> b110(1))),
% 219.03/141.62 inference(transitivity,[status(thm)],[36047, 36046])).
% 219.03/141.62 tff(36049,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 1) <=> b110(1)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[36048])).
% 219.03/141.62 tff(36050,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 1) <=> b110(1)))),
% 219.03/141.62 inference(transitivity,[status(thm)],[36049, 36045])).
% 219.03/141.62 tff(36051,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b110(1)))),
% 219.03/141.62 inference(quant_inst,[status(thm)],[])).
% 219.03/141.62 tff(36052,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 1) <=> b110(1))),
% 219.03/141.62 inference(modus_ponens,[status(thm)],[36051, 36050])).
% 219.03/141.62 tff(36053,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36052, 36044, 36043])).
% 219.03/141.62 tff(36054,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | v124(constB29, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(36055,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36054, 36041, 36035])).
% 219.03/141.62 tff(36056,plain,(v84(constB31, 1) | v84(constB29, 1) | (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(36057,plain,
% 219.03/141.62 (v84(constB31, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36056, 35754, 34907])).
% 219.03/141.62 tff(36058,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 0) <=> b110(0)))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36059,plain,
% 219.03/141.62 (($false | $false | (v124(constB29, 0) <=> b110(0))) <=> (v124(constB29, 0) <=> b110(0))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36060,plain,
% 219.03/141.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b110(0))) <=> ($false | $false | (v124(constB29, 0) <=> b110(0)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.62 tff(36061,plain,
% 219.03/141.62 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b110(0))) <=> (v124(constB29, 0) <=> b110(0))),
% 219.03/141.62 inference(transitivity,[status(thm)],[36060, 36059])).
% 219.03/141.62 tff(36062,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 0) <=> b110(0)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[36061])).
% 219.03/141.62 tff(36063,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 0) <=> b110(0)))),
% 219.03/141.62 inference(transitivity,[status(thm)],[36062, 36058])).
% 219.03/141.62 tff(36064,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b110(0)))),
% 219.03/141.62 inference(quant_inst,[status(thm)],[])).
% 219.03/141.62 tff(36065,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b110(B)))) | (v124(constB29, 0) <=> b110(0))),
% 219.03/141.62 inference(modus_ponens,[status(thm)],[36064, 36063])).
% 219.03/141.62 tff(36066,plain,
% 219.03/141.62 (v124(constB29, 0) <=> b110(0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36065, 36013])).
% 219.03/141.62 tff(36067,plain,
% 219.03/141.62 ((~(v124(constB29, 0) <=> b110(0))) | (~v124(constB29, 0)) | b110(0)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(36068,plain,
% 219.03/141.62 ((~(v124(constB29, 0) <=> b110(0))) | (~v124(constB29, 0))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36067, 3186])).
% 219.03/141.62 tff(36069,plain,
% 219.03/141.62 (~v124(constB29, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36068, 36066])).
% 219.03/141.62 tff(36070,plain,
% 219.03/141.62 ((~v121(constB29, 0)) | v124(constB29, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35945, 35722])).
% 219.03/141.62 tff(36071,plain,
% 219.03/141.62 (~v121(constB29, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36070, 36069])).
% 219.03/141.62 tff(36072,plain,
% 219.03/141.62 (~v123(constB30, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35949, 36071])).
% 219.03/141.62 tff(36073,plain,
% 219.03/141.62 (~v84(constB30, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35951, 36072, 35558])).
% 219.03/141.62 tff(36074,plain,
% 219.03/141.62 (~v84(constB31, 0)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35954, 36073])).
% 219.03/141.62 tff(36075,plain,
% 219.03/141.62 (~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31414, 36074, 36057, 36031])).
% 219.03/141.62 tff(36076,plain,
% 219.03/141.62 (v119(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31339, 36075, 31270])).
% 219.03/141.62 tff(36077,plain,
% 219.03/141.62 (v108(constB31) | v119(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31337, 36076])).
% 219.03/141.62 tff(36078,plain,
% 219.03/141.62 (v107(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35864, 36077])).
% 219.03/141.62 tff(36079,plain,
% 219.03/141.62 (~((~v107(constB31)) | (~v120(constB31)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31332, 36078])).
% 219.03/141.62 tff(36080,plain,
% 219.03/141.62 (v106(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31324, 36079])).
% 219.03/141.62 tff(36081,plain,
% 219.03/141.62 (v105(constB31) | v106(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31321, 36080])).
% 219.03/141.62 tff(36082,plain,
% 219.03/141.62 (v102(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31319, 36081])).
% 219.03/141.62 tff(36083,plain,
% 219.03/141.62 (v104(constB32)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31316, 36082])).
% 219.03/141.62 tff(36084,plain,
% 219.03/141.62 ((~v115(constB31)) | (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31191, 35759])).
% 219.03/141.62 tff(36085,plain,
% 219.03/141.62 (~v115(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36084, 35870])).
% 219.03/141.62 tff(36086,plain,
% 219.03/141.62 ((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31230, 36031])).
% 219.03/141.62 tff(36087,plain,
% 219.03/141.62 (~v116(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31232, 36086, 31205])).
% 219.03/141.62 tff(36088,plain,
% 219.03/141.62 ((v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))) | (~v84(constB31, 1))),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(36089,plain,
% 219.03/141.62 (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36088, 36057])).
% 219.03/141.62 tff(36090,assumption,(~(v117(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))))), introduced(assumption)).
% 219.03/141.62 tff(36091,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31240, 656, 36090])).
% 219.03/141.62 tff(36092,plain,(v117(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(36093,plain,
% 219.03/141.62 ((~v117(constB31)) | (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31244, 36092])).
% 219.03/141.62 tff(36094,plain,
% 219.03/141.62 (~v117(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36093, 36089])).
% 219.03/141.62 tff(36095,plain,
% 219.03/141.62 (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31141, 36057])).
% 219.03/141.62 tff(36096,assumption,(~(v114(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))))), introduced(assumption)).
% 219.03/141.62 tff(36097,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[29590, 298, 36096])).
% 219.03/141.62 tff(36098,plain,(v114(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(36099,plain,
% 219.03/141.62 ((~v114(constB31)) | (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31143, 36098])).
% 219.03/141.62 tff(36100,plain,
% 219.03/141.62 (~v114(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36099, 36095])).
% 219.03/141.62 tff(36101,plain,
% 219.03/141.62 (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35985, 36057])).
% 219.03/141.62 tff(36102,plain,
% 219.03/141.62 ((~v113(constB31)) | (~(v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[31174, 35847])).
% 219.03/141.62 tff(36103,plain,
% 219.03/141.62 (~v113(constB31)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36102, 36101])).
% 219.03/141.62 tff(36104,plain,
% 219.03/141.62 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36105,plain,
% 219.03/141.62 ((v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) <=> (v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36106,plain,
% 219.03/141.62 (^[B: $int] : rewrite(((v124(constB31, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))))),
% 219.03/141.62 inference(bind,[status(th)],[])).
% 219.03/141.62 tff(36107,plain,
% 219.03/141.62 (![B: $int] : ((v124(constB31, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))),
% 219.03/141.62 inference(quant_intro,[status(thm)],[36106])).
% 219.03/141.62 tff(36108,plain,
% 219.03/141.62 ((v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ((v124(constB31, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[36107])).
% 219.03/141.62 tff(36109,plain,
% 219.03/141.62 ((v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ((v124(constB31, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))))),
% 219.03/141.62 inference(transitivity,[status(thm)],[36108, 36105])).
% 219.03/141.62 tff(36110,plain,
% 219.03/141.62 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ((v124(constB31, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[36109])).
% 219.03/141.62 tff(36111,plain,
% 219.03/141.62 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ((v124(constB31, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))))),
% 219.03/141.62 inference(transitivity,[status(thm)],[36110, 36104])).
% 219.03/141.62 tff(36112,plain,
% 219.03/141.62 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ((v124(constB31, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.62 inference(quant_inst,[status(thm)],[])).
% 219.03/141.62 tff(36113,plain,
% 219.03/141.62 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB31) | v117(constB31) | v116(constB31) | v115(constB31) | v114(constB31) | v113(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))),
% 219.03/141.62 inference(modus_ponens,[status(thm)],[36112, 36111])).
% 219.03/141.62 tff(36114,plain,
% 219.03/141.62 (v116(constB31) | v115(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36113, 1807, 36103, 36100, 36094, 35559])).
% 219.03/141.62 tff(36115,plain,
% 219.03/141.62 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36114, 36087, 36085])).
% 219.03/141.62 tff(36116,plain,
% 219.03/141.62 ((~(v124(constB31, 2) <=> b001(2))) | (~v124(constB31, 2)) | b001(2)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(36117,plain,
% 219.03/141.62 (~(v124(constB31, 2) <=> b001(2))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36116, 1831, 35773])).
% 219.03/141.62 tff(36118,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))), introduced(assumption)).
% 219.03/141.62 tff(36119,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | (v124(constB31, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | (v124(constB31, 2) <=> b001(2)))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36120,plain,
% 219.03/141.62 (($false | $false | (v124(constB31, 2) <=> b001(2))) <=> (v124(constB31, 2) <=> b001(2))),
% 219.03/141.62 inference(rewrite,[status(thm)],[])).
% 219.03/141.62 tff(36121,plain,
% 219.03/141.62 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b001(2))) <=> ($false | $false | (v124(constB31, 2) <=> b001(2)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.62 tff(36122,plain,
% 219.03/141.62 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b001(2))) <=> (v124(constB31, 2) <=> b001(2))),
% 219.03/141.62 inference(transitivity,[status(thm)],[36121, 36120])).
% 219.03/141.62 tff(36123,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | (v124(constB31, 2) <=> b001(2)))),
% 219.03/141.62 inference(monotonicity,[status(thm)],[36122])).
% 219.03/141.62 tff(36124,plain,
% 219.03/141.62 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | (v124(constB31, 2) <=> b001(2)))),
% 219.03/141.62 inference(transitivity,[status(thm)],[36123, 36119])).
% 219.03/141.62 tff(36125,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b001(2)))),
% 219.03/141.62 inference(quant_inst,[status(thm)],[])).
% 219.03/141.62 tff(36126,plain,
% 219.03/141.62 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | (v124(constB31, 2) <=> b001(2))),
% 219.03/141.62 inference(modus_ponens,[status(thm)],[36125, 36124])).
% 219.03/141.62 tff(36127,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36126, 36118, 36117])).
% 219.03/141.62 tff(36128,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | (~v124(constB31, 2))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(36129,plain,
% 219.03/141.62 (~v124(constB31, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36128, 36115])).
% 219.03/141.62 tff(36130,plain,
% 219.03/141.62 (~v121(constB31, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35800, 36129])).
% 219.03/141.62 tff(36131,plain,
% 219.03/141.62 (~v123(constB32, 2)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35814, 36130])).
% 219.03/141.62 tff(36132,plain,
% 219.03/141.62 (~(v84(constB32, 2) <=> v123(constB32, 2))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35816, 36131, 35755])).
% 219.03/141.62 tff(36133,plain,
% 219.03/141.62 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[35828, 36132])).
% 219.03/141.62 tff(36134,plain,
% 219.03/141.62 (~v94(constB32)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[34410, 36133])).
% 219.03/141.62 tff(36135,plain,
% 219.03/141.62 ((~v95(constB32)) | (~v104(constB32))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[34402, 36134])).
% 219.03/141.62 tff(36136,plain,
% 219.03/141.62 ($false),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[34399, 36135, 36083])).
% 219.03/141.62 tff(36137,plain,((~v84(constB32, 2)) | v118(constB31) | v84(constB29, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.62 tff(36138,plain,
% 219.03/141.62 (v84(constB29, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36137, 34906, 34845])).
% 219.03/141.62 tff(36139,plain,
% 219.03/141.62 ((~(v84(constB29, 1) <=> v84(constB28, 1))) | (~v84(constB29, 1)) | v84(constB28, 1)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(36140,plain,
% 219.03/141.62 ((~v84(constB29, 1)) | v84(constB28, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36139, 34969])).
% 219.03/141.62 tff(36141,plain,
% 219.03/141.62 (v84(constB28, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36140, 36138])).
% 219.03/141.62 tff(36142,assumption,(v84(constB28, 1)), introduced(assumption)).
% 219.03/141.62 tff(36143,assumption,(~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2)))), introduced(assumption)).
% 219.03/141.62 tff(36144,plain,
% 219.03/141.62 ((v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))) | (~v84(constB27, 1))),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(36145,plain,
% 219.03/141.62 (~v84(constB27, 1)),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36144, 36143])).
% 219.03/141.62 tff(36146,plain,
% 219.03/141.62 ((~(v84(constB28, 1) <=> v84(constB27, 1))) | (~v84(constB28, 1)) | v84(constB27, 1)),
% 219.03/141.62 inference(tautology,[status(thm)],[])).
% 219.03/141.62 tff(36147,plain,
% 219.03/141.62 (~(v84(constB28, 1) <=> v84(constB27, 1))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[36146, 36145, 36142])).
% 219.03/141.62 tff(36148,plain,
% 219.03/141.62 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))),
% 219.03/141.62 inference(unit_resolution,[status(thm)],[30857, 36147])).
% 219.03/141.63 tff(36149,plain,
% 219.03/141.63 (v94(constB28)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[30844, 36148])).
% 219.03/141.63 tff(36150,plain,
% 219.03/141.63 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[35101, 36149])).
% 219.03/141.63 tff(36151,assumption,(~(v84(constB28, 1) <=> v123(constB28, 1))), introduced(assumption)).
% 219.03/141.63 tff(36152,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))), introduced(assumption)).
% 219.03/141.63 tff(36153,plain,
% 219.03/141.63 ($false),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[35237, 36152, 36151])).
% 219.03/141.63 tff(36154,plain,((v84(constB28, 1) <=> v123(constB28, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.63 tff(36155,plain,
% 219.03/141.63 (v84(constB28, 1) <=> v123(constB28, 1)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36154, 36150])).
% 219.03/141.63 tff(36156,plain,
% 219.03/141.63 ((~(v84(constB28, 1) <=> v123(constB28, 1))) | (~v84(constB28, 1)) | v123(constB28, 1)),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36157,plain,
% 219.03/141.63 (v123(constB28, 1)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36156, 36155, 36142])).
% 219.03/141.63 tff(36158,assumption,(~(v123(constB28, 1) <=> v121(constB27, 1))), introduced(assumption)).
% 219.03/141.63 tff(36159,plain,
% 219.03/141.63 ($false),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[35178, 34994, 36158])).
% 219.03/141.63 tff(36160,plain,(v123(constB28, 1) <=> v121(constB27, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.63 tff(36161,plain,
% 219.03/141.63 ((~(v123(constB28, 1) <=> v121(constB27, 1))) | (~v123(constB28, 1)) | v121(constB27, 1)),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36162,plain,
% 219.03/141.63 ((~v123(constB28, 1)) | v121(constB27, 1)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36161, 36160])).
% 219.03/141.63 tff(36163,plain,
% 219.03/141.63 (v121(constB27, 1)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36162, 36157])).
% 219.03/141.63 tff(36164,assumption,(~(v121(constB27, 1) <=> v124(constB27, 1))), introduced(assumption)).
% 219.03/141.63 tff(36165,plain,
% 219.03/141.63 ($false),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[35187, 34978, 36164])).
% 219.03/141.63 tff(36166,plain,(v121(constB27, 1) <=> v124(constB27, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.63 tff(36167,plain,
% 219.03/141.63 ((~(v121(constB27, 1) <=> v124(constB27, 1))) | (~v121(constB27, 1)) | v124(constB27, 1)),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36168,plain,
% 219.03/141.63 ((~v121(constB27, 1)) | v124(constB27, 1)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36167, 36166])).
% 219.03/141.63 tff(36169,plain,
% 219.03/141.63 (v124(constB27, 1)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36168, 36163])).
% 219.03/141.63 tff(36170,plain,
% 219.03/141.63 ((~(v124(constB27, 1) <=> b101(1))) | (~v124(constB27, 1)) | b101(1)),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36171,plain,
% 219.03/141.63 (~(v124(constB27, 1) <=> b101(1))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36170, 2330, 36169])).
% 219.03/141.63 tff(36172,plain,
% 219.03/141.63 (v117(constB27)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[35273, 36143])).
% 219.03/141.63 tff(36173,plain,
% 219.03/141.63 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[35331, 36172])).
% 219.03/141.63 tff(36174,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | (v124(constB27, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | (v124(constB27, 1) <=> b101(1)))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36175,plain,
% 219.03/141.63 (($false | $false | (v124(constB27, 1) <=> b101(1))) <=> (v124(constB27, 1) <=> b101(1))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36176,plain,
% 219.03/141.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b101(1))) <=> ($false | $false | (v124(constB27, 1) <=> b101(1)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.63 tff(36177,plain,
% 219.03/141.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b101(1))) <=> (v124(constB27, 1) <=> b101(1))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36176, 36175])).
% 219.03/141.63 tff(36178,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | (v124(constB27, 1) <=> b101(1)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36177])).
% 219.03/141.63 tff(36179,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | (v124(constB27, 1) <=> b101(1)))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36178, 36174])).
% 219.03/141.63 tff(36180,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b101(1)))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36181,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b101(B)))) | (v124(constB27, 1) <=> b101(1))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36180, 36179])).
% 219.03/141.63 tff(36182,plain,
% 219.03/141.63 ($false),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36181, 36173, 36171])).
% 219.03/141.63 tff(36183,plain,((v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))) | (~v84(constB28, 1))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.63 tff(36184,plain,
% 219.03/141.63 (v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36183, 36141])).
% 219.03/141.63 tff(36185,assumption,(v115(constB23)), introduced(assumption)).
% 219.03/141.63 tff(36186,plain,
% 219.03/141.63 ((v112(constB23) | v115(constB23)) | (~v115(constB23))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36187,plain,
% 219.03/141.63 (v112(constB23) | v115(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36186, 36185])).
% 219.03/141.63 tff(36188,plain,
% 219.03/141.63 ((~(v111(constB23) <=> (v112(constB23) | v115(constB23)))) | v111(constB23) | (~(v112(constB23) | v115(constB23)))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36189,plain,
% 219.03/141.63 (v111(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36188, 36187, 29751])).
% 219.03/141.63 tff(36190,plain,
% 219.03/141.63 ((v111(constB23) | v116(constB23)) | (~v111(constB23))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36191,plain,
% 219.03/141.63 (v111(constB23) | v116(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36190, 36189])).
% 219.03/141.63 tff(36192,plain,
% 219.03/141.63 ((~(v110(constB23) <=> (v111(constB23) | v116(constB23)))) | v110(constB23) | (~(v111(constB23) | v116(constB23)))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36193,plain,
% 219.03/141.63 (v110(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36192, 36191, 29749])).
% 219.03/141.63 tff(36194,plain,
% 219.03/141.63 ((v110(constB23) | v117(constB23)) | (~v110(constB23))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36195,plain,
% 219.03/141.63 (v110(constB23) | v117(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36194, 36193])).
% 219.03/141.63 tff(36196,plain,
% 219.03/141.63 ((~(v109(constB23) <=> (v110(constB23) | v117(constB23)))) | v109(constB23) | (~(v110(constB23) | v117(constB23)))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36197,plain,
% 219.03/141.63 (v109(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36196, 36195, 29747])).
% 219.03/141.63 tff(36198,plain,
% 219.03/141.63 ((v109(constB23) | v118(constB23)) | (~v109(constB23))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36199,plain,
% 219.03/141.63 (v109(constB23) | v118(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36198, 36197])).
% 219.03/141.63 tff(36200,plain,
% 219.03/141.63 ((~(v108(constB23) <=> (v109(constB23) | v118(constB23)))) | v108(constB23) | (~(v109(constB23) | v118(constB23)))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36201,plain,
% 219.03/141.63 (v108(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36200, 36199, 29745])).
% 219.03/141.63 tff(36202,plain,
% 219.03/141.63 ((v108(constB23) | v119(constB23)) | (~v108(constB23))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36203,plain,
% 219.03/141.63 (v108(constB23) | v119(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36202, 36201])).
% 219.03/141.63 tff(36204,plain,
% 219.03/141.63 ((~(v107(constB23) <=> (v108(constB23) | v119(constB23)))) | v107(constB23) | (~(v108(constB23) | v119(constB23)))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36205,plain,
% 219.03/141.63 (v107(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36204, 36203, 29743])).
% 219.03/141.63 tff(36206,plain,
% 219.03/141.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB23)) <=> v105(constB23))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36207,plain,
% 219.03/141.63 ((~v120(constB23)) <=> v105(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36206, 144])).
% 219.03/141.63 tff(36208,plain,
% 219.03/141.63 ((~((~v120(constB23)) <=> v105(constB23))) | v120(constB23) | v105(constB23)),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36209,plain,
% 219.03/141.63 ((~((~v120(constB23)) <=> v105(constB23))) | v120(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36208, 30053])).
% 219.03/141.63 tff(36210,plain,
% 219.03/141.63 (v120(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36209, 36207])).
% 219.03/141.63 tff(36211,plain,
% 219.03/141.63 ((~((~v107(constB23)) | (~v120(constB23)))) | (~v107(constB23)) | (~v120(constB23))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36212,plain,
% 219.03/141.63 ((~((~v107(constB23)) | (~v120(constB23)))) | (~v107(constB23))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36211, 36210])).
% 219.03/141.63 tff(36213,plain,
% 219.03/141.63 (~((~v107(constB23)) | (~v120(constB23)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36212, 36205])).
% 219.03/141.63 tff(36214,plain,
% 219.03/141.63 ((~(v106(constB23) <=> (~((~v107(constB23)) | (~v120(constB23)))))) | v106(constB23) | ((~v107(constB23)) | (~v120(constB23)))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36215,plain,
% 219.03/141.63 (v106(constB23) | ((~v107(constB23)) | (~v120(constB23)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36214, 30043])).
% 219.03/141.63 tff(36216,plain,
% 219.03/141.63 (v106(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36215, 36213])).
% 219.03/141.63 tff(36217,plain,
% 219.03/141.63 ((v105(constB23) | v106(constB23)) | (~v106(constB23))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36218,plain,
% 219.03/141.63 (v105(constB23) | v106(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36217, 36216])).
% 219.03/141.63 tff(36219,plain,
% 219.03/141.63 ((~(v102(constB23) <=> (v105(constB23) | v106(constB23)))) | v102(constB23) | (~(v105(constB23) | v106(constB23)))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36220,plain,
% 219.03/141.63 (v102(constB23) | (~(v105(constB23) | v106(constB23)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36219, 30058])).
% 219.03/141.63 tff(36221,plain,
% 219.03/141.63 (v102(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36220, 36218])).
% 219.03/141.63 tff(36222,plain,
% 219.03/141.63 ((~(v104(constB24) <=> v102(constB23))) | v104(constB24) | (~v102(constB23))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36223,plain,
% 219.03/141.63 (v104(constB24) | (~v102(constB23))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36222, 30068])).
% 219.03/141.63 tff(36224,plain,
% 219.03/141.63 (v104(constB24)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36223, 36221])).
% 219.03/141.63 tff(36225,plain,
% 219.03/141.63 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36226,plain,
% 219.03/141.63 (((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24)))))) <=> ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36227,plain,
% 219.03/141.63 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24)))))))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36226])).
% 219.03/141.63 tff(36228,plain,
% 219.03/141.63 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36227, 36225])).
% 219.03/141.63 tff(36229,plain,
% 219.03/141.63 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24))))))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36230,plain,
% 219.03/141.63 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24)))))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36229, 36228])).
% 219.03/141.63 tff(36231,plain,
% 219.03/141.63 (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36230, 30064, 37])).
% 219.03/141.63 tff(36232,plain,
% 219.03/141.63 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24)))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36233,plain,
% 219.03/141.63 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24)))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36234,plain,
% 219.03/141.63 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36233, 36232])).
% 219.03/141.63 tff(36235,plain,
% 219.03/141.63 ((~v96(constB24)) <=> v98(constB24)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36234, 30064, 54])).
% 219.03/141.63 tff(36236,plain,
% 219.03/141.63 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23)))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36237,plain,
% 219.03/141.63 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23)))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36238,plain,
% 219.03/141.63 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36237, 36236])).
% 219.03/141.63 tff(36239,plain,
% 219.03/141.63 (v98(constB24) <=> v1(constB23)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36238, 30064, 68])).
% 219.03/141.63 tff(36240,plain,
% 219.03/141.63 ((~(v98(constB24) <=> v1(constB23))) | (~v98(constB24)) | v1(constB23)),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36241,plain,
% 219.03/141.63 ((~(v98(constB24) <=> v1(constB23))) | (~v98(constB24))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36240, 25444])).
% 219.03/141.63 tff(36242,plain,
% 219.03/141.63 (~v98(constB24)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36241, 36239])).
% 219.03/141.63 tff(36243,plain,
% 219.03/141.63 ((~((~v96(constB24)) <=> v98(constB24))) | v96(constB24) | v98(constB24)),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36244,plain,
% 219.03/141.63 (v96(constB24)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36243, 36242, 36235])).
% 219.03/141.63 tff(36245,plain,
% 219.03/141.63 (v1(constB24) <=> v1(constB24)),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36246,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24')).
% 219.03/141.63 tff(36247,plain,
% 219.03/141.63 (v1(constB24)),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36246, 36245])).
% 219.03/141.63 tff(36248,plain,
% 219.03/141.63 ((~((~v1(constB24)) | (~v96(constB24)))) | (~v1(constB24)) | (~v96(constB24))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36249,plain,
% 219.03/141.63 ((~((~v1(constB24)) | (~v96(constB24)))) | (~v96(constB24))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36248, 36247])).
% 219.03/141.63 tff(36250,plain,
% 219.03/141.63 (~((~v1(constB24)) | (~v96(constB24)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36249, 36244])).
% 219.03/141.63 tff(36251,plain,
% 219.03/141.63 ((~(v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24)))))) | v95(constB24) | ((~v1(constB24)) | (~v96(constB24)))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36252,plain,
% 219.03/141.63 (v95(constB24)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36251, 36250, 36231])).
% 219.03/141.63 tff(36253,plain,
% 219.03/141.63 ((~((~v95(constB24)) | (~v104(constB24)))) | (~v95(constB24)) | (~v104(constB24))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36254,plain,
% 219.03/141.63 ((~((~v95(constB24)) | (~v104(constB24)))) | (~v104(constB24))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36253, 36252])).
% 219.03/141.63 tff(36255,plain,
% 219.03/141.63 (~((~v95(constB24)) | (~v104(constB24)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36254, 36224])).
% 219.03/141.63 tff(36256,plain,
% 219.03/141.63 ((~(v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24)))))) | v94(constB24) | ((~v95(constB24)) | (~v104(constB24)))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36257,plain,
% 219.03/141.63 (v94(constB24) | ((~v95(constB24)) | (~v104(constB24)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36256, 30077])).
% 219.03/141.63 tff(36258,plain,
% 219.03/141.63 (v94(constB24)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36257, 36255])).
% 219.03/141.63 tff(36259,plain,
% 219.03/141.63 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36260,plain,
% 219.03/141.63 (((~v94(constB24)) | ![B: $int] : ((v84(constB24, B) <=> v123(constB24, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36261,plain,
% 219.03/141.63 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB24)) | ![B: $int] : ((v84(constB24, B) <=> v123(constB24, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36260])).
% 219.03/141.63 tff(36262,plain,
% 219.03/141.63 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB24)) | ![B: $int] : ((v84(constB24, B) <=> v123(constB24, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B))))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36261, 36259])).
% 219.03/141.63 tff(36263,plain,
% 219.03/141.63 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB24)) | ![B: $int] : ((v84(constB24, B) <=> v123(constB24, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36264,plain,
% 219.03/141.63 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36263, 36262])).
% 219.03/141.63 tff(36265,plain,
% 219.03/141.63 ((~v94(constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36264, 1491])).
% 219.03/141.63 tff(36266,plain,
% 219.03/141.63 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36265, 36258])).
% 219.03/141.63 tff(36267,assumption,(~(v84(constB24, 1) <=> v123(constB24, 1))), introduced(assumption)).
% 219.03/141.63 tff(36268,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))), introduced(assumption)).
% 219.03/141.63 tff(36269,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 1) <=> v123(constB24, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 1) <=> v123(constB24, 1)))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36270,plain,
% 219.03/141.63 (($false | $false | (v84(constB24, 1) <=> v123(constB24, 1))) <=> (v84(constB24, 1) <=> v123(constB24, 1))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36271,plain,
% 219.03/141.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB24, 1) <=> v123(constB24, 1))) <=> ($false | $false | (v84(constB24, 1) <=> v123(constB24, 1)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.63 tff(36272,plain,
% 219.03/141.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB24, 1) <=> v123(constB24, 1))) <=> (v84(constB24, 1) <=> v123(constB24, 1))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36271, 36270])).
% 219.03/141.63 tff(36273,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB24, 1) <=> v123(constB24, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 1) <=> v123(constB24, 1)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36272])).
% 219.03/141.63 tff(36274,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB24, 1) <=> v123(constB24, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 1) <=> v123(constB24, 1)))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36273, 36269])).
% 219.03/141.63 tff(36275,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB24, 1) <=> v123(constB24, 1)))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36276,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 1) <=> v123(constB24, 1))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36275, 36274])).
% 219.03/141.63 tff(36277,plain,
% 219.03/141.63 ($false),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36276, 36268, 36267])).
% 219.03/141.63 tff(36278,plain,((v84(constB24, 1) <=> v123(constB24, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.63 tff(36279,plain,
% 219.03/141.63 (v84(constB24, 1) <=> v123(constB24, 1)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36278, 36266])).
% 219.03/141.63 tff(36280,assumption,(~(v84(constB24, 0) <=> v123(constB24, 0))), introduced(assumption)).
% 219.03/141.63 tff(36281,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 0) <=> v123(constB24, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 0) <=> v123(constB24, 0)))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36282,plain,
% 219.03/141.63 (($false | $false | (v84(constB24, 0) <=> v123(constB24, 0))) <=> (v84(constB24, 0) <=> v123(constB24, 0))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36283,plain,
% 219.03/141.63 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB24, 0) <=> v123(constB24, 0))) <=> ($false | $false | (v84(constB24, 0) <=> v123(constB24, 0)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.63 tff(36284,plain,
% 219.03/141.63 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB24, 0) <=> v123(constB24, 0))) <=> (v84(constB24, 0) <=> v123(constB24, 0))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36283, 36282])).
% 219.03/141.63 tff(36285,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB24, 0) <=> v123(constB24, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 0) <=> v123(constB24, 0)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36284])).
% 219.03/141.63 tff(36286,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB24, 0) <=> v123(constB24, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 0) <=> v123(constB24, 0)))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36285, 36281])).
% 219.03/141.63 tff(36287,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB24, 0) <=> v123(constB24, 0)))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36288,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 0) <=> v123(constB24, 0))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36287, 36286])).
% 219.03/141.63 tff(36289,plain,
% 219.03/141.63 ($false),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36288, 36268, 36280])).
% 219.03/141.63 tff(36290,plain,((v84(constB24, 0) <=> v123(constB24, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.63 tff(36291,plain,
% 219.03/141.63 (v84(constB24, 0) <=> v123(constB24, 0)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36290, 36266])).
% 219.03/141.63 tff(36292,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))), introduced(assumption)).
% 219.03/141.63 tff(36293,plain,
% 219.03/141.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36294,plain,
% 219.03/141.63 (((~v115(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36295,plain,
% 219.03/141.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36294])).
% 219.03/141.63 tff(36296,plain,
% 219.03/141.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B))))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36295, 36293])).
% 219.03/141.63 tff(36297,plain,
% 219.03/141.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36298,plain,
% 219.03/141.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36297, 36296])).
% 219.03/141.63 tff(36299,plain,
% 219.03/141.63 ($false),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36298, 2144, 36292, 36185])).
% 219.03/141.63 tff(36300,plain,((~v115(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.63 tff(36301,plain,
% 219.03/141.63 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36300, 36185])).
% 219.03/141.63 tff(36302,assumption,(~(v84(constB24, 2) <=> v123(constB24, 2))), introduced(assumption)).
% 219.03/141.63 tff(36303,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 2) <=> v123(constB24, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 2) <=> v123(constB24, 2)))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36304,plain,
% 219.03/141.63 (($false | $false | (v84(constB24, 2) <=> v123(constB24, 2))) <=> (v84(constB24, 2) <=> v123(constB24, 2))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36305,plain,
% 219.03/141.63 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB24, 2) <=> v123(constB24, 2))) <=> ($false | $false | (v84(constB24, 2) <=> v123(constB24, 2)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.63 tff(36306,plain,
% 219.03/141.63 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB24, 2) <=> v123(constB24, 2))) <=> (v84(constB24, 2) <=> v123(constB24, 2))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36305, 36304])).
% 219.03/141.63 tff(36307,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB24, 2) <=> v123(constB24, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 2) <=> v123(constB24, 2)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36306])).
% 219.03/141.63 tff(36308,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB24, 2) <=> v123(constB24, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 2) <=> v123(constB24, 2)))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36307, 36303])).
% 219.03/141.63 tff(36309,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB24, 2) <=> v123(constB24, 2)))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36310,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))) | (v84(constB24, 2) <=> v123(constB24, 2))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36309, 36308])).
% 219.03/141.63 tff(36311,plain,
% 219.03/141.63 ($false),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36310, 36268, 36302])).
% 219.03/141.63 tff(36312,plain,((v84(constB24, 2) <=> v123(constB24, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.63 tff(36313,plain,
% 219.03/141.63 (v84(constB24, 2) <=> v123(constB24, 2)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36312, 36266])).
% 219.03/141.63 tff(36314,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))), introduced(assumption)).
% 219.03/141.63 tff(36315,plain,
% 219.03/141.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36316,plain,
% 219.03/141.63 (((~v116(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36317,plain,
% 219.03/141.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36316])).
% 219.03/141.63 tff(36318,plain,
% 219.03/141.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B))))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36317, 36315])).
% 219.03/141.63 tff(36319,plain,
% 219.03/141.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36320,plain,
% 219.03/141.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36319, 36318])).
% 219.03/141.63 tff(36321,plain,
% 219.03/141.63 (~v116(constB25)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36320, 2230, 36314])).
% 219.03/141.63 tff(36322,plain,
% 219.03/141.63 ((~(v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))) | v116(constB25) | (v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36323,plain,
% 219.03/141.63 (v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36322, 36321, 30431])).
% 219.03/141.63 tff(36324,assumption,(v84(constB24, 1) <=> v123(constB24, 1)), introduced(assumption)).
% 219.03/141.63 tff(36325,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))), introduced(assumption)).
% 219.03/141.63 tff(36326,assumption,(~v124(constB23, 1)), introduced(assumption)).
% 219.03/141.63 tff(36327,plain,
% 219.03/141.63 ((~(v124(constB23, 1) <=> b011(1))) | v124(constB23, 1) | (~b011(1))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36328,plain,
% 219.03/141.63 (~(v124(constB23, 1) <=> b011(1))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36327, 2593, 36326])).
% 219.03/141.63 tff(36329,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 1) <=> b011(1)))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36330,plain,
% 219.03/141.63 (($false | $false | (v124(constB23, 1) <=> b011(1))) <=> (v124(constB23, 1) <=> b011(1))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36331,plain,
% 219.03/141.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b011(1))) <=> ($false | $false | (v124(constB23, 1) <=> b011(1)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.63 tff(36332,plain,
% 219.03/141.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b011(1))) <=> (v124(constB23, 1) <=> b011(1))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36331, 36330])).
% 219.03/141.63 tff(36333,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 1) <=> b011(1)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36332])).
% 219.03/141.63 tff(36334,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 1) <=> b011(1)))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36333, 36329])).
% 219.03/141.63 tff(36335,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b011(1)))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36336,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 1) <=> b011(1))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36335, 36334])).
% 219.03/141.63 tff(36337,plain,
% 219.03/141.63 ($false),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36336, 36325, 36328])).
% 219.03/141.63 tff(36338,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | v124(constB23, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.63 tff(36339,plain,
% 219.03/141.63 (v124(constB23, 1)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36338, 36325])).
% 219.03/141.63 tff(36340,assumption,(~(v121(constB23, 1) <=> v124(constB23, 1))), introduced(assumption)).
% 219.03/141.63 tff(36341,plain,
% 219.03/141.63 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB23) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB23) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36342,plain,
% 219.03/141.63 ((v105(constB23) | ![B: $int] : ((v121(constB23, B) <=> v124(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB23) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36343,plain,
% 219.03/141.63 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB23) | ![B: $int] : ((v121(constB23, B) <=> v124(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB23) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36342])).
% 219.03/141.63 tff(36344,plain,
% 219.03/141.63 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB23) | ![B: $int] : ((v121(constB23, B) <=> v124(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB23) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B))))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36343, 36341])).
% 219.03/141.63 tff(36345,plain,
% 219.03/141.63 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB23) | ![B: $int] : ((v121(constB23, B) <=> v124(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36346,plain,
% 219.03/141.63 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB23) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36345, 36344])).
% 219.03/141.63 tff(36347,plain,
% 219.03/141.63 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36346, 1562, 30053])).
% 219.03/141.63 tff(36348,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 1) <=> v124(constB23, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 1) <=> v124(constB23, 1)))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36349,plain,
% 219.03/141.63 (($false | $false | (v121(constB23, 1) <=> v124(constB23, 1))) <=> (v121(constB23, 1) <=> v124(constB23, 1))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36350,plain,
% 219.03/141.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB23, 1) <=> v124(constB23, 1))) <=> ($false | $false | (v121(constB23, 1) <=> v124(constB23, 1)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.63 tff(36351,plain,
% 219.03/141.63 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB23, 1) <=> v124(constB23, 1))) <=> (v121(constB23, 1) <=> v124(constB23, 1))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36350, 36349])).
% 219.03/141.63 tff(36352,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB23, 1) <=> v124(constB23, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 1) <=> v124(constB23, 1)))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36351])).
% 219.03/141.63 tff(36353,plain,
% 219.03/141.63 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB23, 1) <=> v124(constB23, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 1) <=> v124(constB23, 1)))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36352, 36348])).
% 219.03/141.63 tff(36354,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB23, 1) <=> v124(constB23, 1)))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36355,plain,
% 219.03/141.63 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 1) <=> v124(constB23, 1))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36354, 36353])).
% 219.03/141.63 tff(36356,plain,
% 219.03/141.63 ($false),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36355, 36347, 36340])).
% 219.03/141.63 tff(36357,plain,(v121(constB23, 1) <=> v124(constB23, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.63 tff(36358,plain,
% 219.03/141.63 ((~(v121(constB23, 1) <=> v124(constB23, 1))) | v121(constB23, 1) | (~v124(constB23, 1))),
% 219.03/141.63 inference(tautology,[status(thm)],[])).
% 219.03/141.63 tff(36359,plain,
% 219.03/141.63 (v121(constB23, 1) | (~v124(constB23, 1))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36358, 36357])).
% 219.03/141.63 tff(36360,plain,
% 219.03/141.63 (v121(constB23, 1)),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36359, 36339])).
% 219.03/141.63 tff(36361,assumption,(~(v123(constB24, 1) <=> v121(constB23, 1))), introduced(assumption)).
% 219.03/141.63 tff(36362,plain,
% 219.03/141.63 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36363,plain,
% 219.03/141.63 (((~nextState(constB23, constB24)) | ![B: $int] : ((v123(constB24, B) <=> v121(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B))))),
% 219.03/141.63 inference(rewrite,[status(thm)],[])).
% 219.03/141.63 tff(36364,plain,
% 219.03/141.63 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB23, constB24)) | ![B: $int] : ((v123(constB24, B) <=> v121(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))))),
% 219.03/141.63 inference(monotonicity,[status(thm)],[36363])).
% 219.03/141.63 tff(36365,plain,
% 219.03/141.63 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB23, constB24)) | ![B: $int] : ((v123(constB24, B) <=> v121(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B))))),
% 219.03/141.63 inference(transitivity,[status(thm)],[36364, 36362])).
% 219.03/141.63 tff(36366,plain,
% 219.03/141.63 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB23, constB24)) | ![B: $int] : ((v123(constB24, B) <=> v121(constB23, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.63 inference(quant_inst,[status(thm)],[])).
% 219.03/141.63 tff(36367,plain,
% 219.03/141.63 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB23, constB24)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))),
% 219.03/141.63 inference(modus_ponens,[status(thm)],[36366, 36365])).
% 219.03/141.63 tff(36368,plain,
% 219.03/141.63 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))),
% 219.03/141.63 inference(unit_resolution,[status(thm)],[36367, 30064, 1527])).
% 219.03/141.64 tff(36369,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 1) <=> v121(constB23, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 1) <=> v121(constB23, 1)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36370,plain,
% 219.03/141.64 (($false | $false | (v123(constB24, 1) <=> v121(constB23, 1))) <=> (v123(constB24, 1) <=> v121(constB23, 1))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36371,plain,
% 219.03/141.64 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB24, 1) <=> v121(constB23, 1))) <=> ($false | $false | (v123(constB24, 1) <=> v121(constB23, 1)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.64 tff(36372,plain,
% 219.03/141.64 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB24, 1) <=> v121(constB23, 1))) <=> (v123(constB24, 1) <=> v121(constB23, 1))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36371, 36370])).
% 219.03/141.64 tff(36373,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB24, 1) <=> v121(constB23, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 1) <=> v121(constB23, 1)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36372])).
% 219.03/141.64 tff(36374,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB24, 1) <=> v121(constB23, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 1) <=> v121(constB23, 1)))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36373, 36369])).
% 219.03/141.64 tff(36375,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB24, 1) <=> v121(constB23, 1)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36376,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 1) <=> v121(constB23, 1))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36375, 36374])).
% 219.03/141.64 tff(36377,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36376, 36368, 36361])).
% 219.03/141.64 tff(36378,plain,(v123(constB24, 1) <=> v121(constB23, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36379,plain,
% 219.03/141.64 ((~(v123(constB24, 1) <=> v121(constB23, 1))) | v123(constB24, 1) | (~v121(constB23, 1))),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36380,plain,
% 219.03/141.64 (v123(constB24, 1) | (~v121(constB23, 1))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36379, 36378])).
% 219.03/141.64 tff(36381,plain,
% 219.03/141.64 (v123(constB24, 1)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36380, 36360])).
% 219.03/141.64 tff(36382,plain,
% 219.03/141.64 ((~(v84(constB24, 1) <=> v123(constB24, 1))) | v84(constB24, 1) | (~v123(constB24, 1))),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36383,plain,
% 219.03/141.64 (v84(constB24, 1)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36382, 36381, 36324])).
% 219.03/141.64 tff(36384,assumption,(~(v84(constB25, 1) <=> v84(constB24, 1))), introduced(assumption)).
% 219.03/141.64 tff(36385,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[29740, 29732, 36384])).
% 219.03/141.64 tff(36386,plain,(v84(constB25, 1) <=> v84(constB24, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36387,plain,
% 219.03/141.64 (v84(constB25, 1) | (~v84(constB24, 1))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[30101, 36386])).
% 219.03/141.64 tff(36388,plain,
% 219.03/141.64 (v84(constB25, 1)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36387, 36383])).
% 219.03/141.64 tff(36389,assumption,(v84(constB24, 2) <=> v123(constB24, 2)), introduced(assumption)).
% 219.03/141.64 tff(36390,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 2) <=> b011(2)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36391,plain,
% 219.03/141.64 (($false | $false | (v124(constB23, 2) <=> b011(2))) <=> (v124(constB23, 2) <=> b011(2))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36392,plain,
% 219.03/141.64 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b011(2))) <=> ($false | $false | (v124(constB23, 2) <=> b011(2)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.64 tff(36393,plain,
% 219.03/141.64 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b011(2))) <=> (v124(constB23, 2) <=> b011(2))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36392, 36391])).
% 219.03/141.64 tff(36394,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 2) <=> b011(2)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36393])).
% 219.03/141.64 tff(36395,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 2) <=> b011(2)))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36394, 36390])).
% 219.03/141.64 tff(36396,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b011(2)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36397,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 2) <=> b011(2))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36396, 36395])).
% 219.03/141.64 tff(36398,plain,
% 219.03/141.64 (v124(constB23, 2) <=> b011(2)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36397, 36325])).
% 219.03/141.64 tff(36399,plain,
% 219.03/141.64 ((~(v124(constB23, 2) <=> b011(2))) | (~v124(constB23, 2)) | b011(2)),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36400,plain,
% 219.03/141.64 ((~(v124(constB23, 2) <=> b011(2))) | (~v124(constB23, 2))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36399, 2569])).
% 219.03/141.64 tff(36401,plain,
% 219.03/141.64 (~v124(constB23, 2)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36400, 36398])).
% 219.03/141.64 tff(36402,assumption,(~(v121(constB23, 2) <=> v124(constB23, 2))), introduced(assumption)).
% 219.03/141.64 tff(36403,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 2) <=> v124(constB23, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 2) <=> v124(constB23, 2)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36404,plain,
% 219.03/141.64 (($false | $false | (v121(constB23, 2) <=> v124(constB23, 2))) <=> (v121(constB23, 2) <=> v124(constB23, 2))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36405,plain,
% 219.03/141.64 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB23, 2) <=> v124(constB23, 2))) <=> ($false | $false | (v121(constB23, 2) <=> v124(constB23, 2)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.64 tff(36406,plain,
% 219.03/141.64 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB23, 2) <=> v124(constB23, 2))) <=> (v121(constB23, 2) <=> v124(constB23, 2))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36405, 36404])).
% 219.03/141.64 tff(36407,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB23, 2) <=> v124(constB23, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 2) <=> v124(constB23, 2)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36406])).
% 219.03/141.64 tff(36408,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB23, 2) <=> v124(constB23, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 2) <=> v124(constB23, 2)))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36407, 36403])).
% 219.03/141.64 tff(36409,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB23, 2) <=> v124(constB23, 2)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36410,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 2) <=> v124(constB23, 2))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36409, 36408])).
% 219.03/141.64 tff(36411,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36410, 36347, 36402])).
% 219.03/141.64 tff(36412,plain,(v121(constB23, 2) <=> v124(constB23, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36413,plain,
% 219.03/141.64 ((~(v121(constB23, 2) <=> v124(constB23, 2))) | (~v121(constB23, 2)) | v124(constB23, 2)),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36414,plain,
% 219.03/141.64 ((~v121(constB23, 2)) | v124(constB23, 2)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36413, 36412])).
% 219.03/141.64 tff(36415,plain,
% 219.03/141.64 (~v121(constB23, 2)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36414, 36401])).
% 219.03/141.64 tff(36416,assumption,(~(v123(constB24, 2) <=> v121(constB23, 2))), introduced(assumption)).
% 219.03/141.64 tff(36417,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 2) <=> v121(constB23, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 2) <=> v121(constB23, 2)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36418,plain,
% 219.03/141.64 (($false | $false | (v123(constB24, 2) <=> v121(constB23, 2))) <=> (v123(constB24, 2) <=> v121(constB23, 2))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36419,plain,
% 219.03/141.64 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB24, 2) <=> v121(constB23, 2))) <=> ($false | $false | (v123(constB24, 2) <=> v121(constB23, 2)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.64 tff(36420,plain,
% 219.03/141.64 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB24, 2) <=> v121(constB23, 2))) <=> (v123(constB24, 2) <=> v121(constB23, 2))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36419, 36418])).
% 219.03/141.64 tff(36421,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB24, 2) <=> v121(constB23, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 2) <=> v121(constB23, 2)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36420])).
% 219.03/141.64 tff(36422,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB24, 2) <=> v121(constB23, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 2) <=> v121(constB23, 2)))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36421, 36417])).
% 219.03/141.64 tff(36423,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB24, 2) <=> v121(constB23, 2)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36424,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 2) <=> v121(constB23, 2))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36423, 36422])).
% 219.03/141.64 tff(36425,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36424, 36368, 36416])).
% 219.03/141.64 tff(36426,plain,(v123(constB24, 2) <=> v121(constB23, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36427,plain,
% 219.03/141.64 ((~(v123(constB24, 2) <=> v121(constB23, 2))) | (~v123(constB24, 2)) | v121(constB23, 2)),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36428,plain,
% 219.03/141.64 ((~v123(constB24, 2)) | v121(constB23, 2)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36427, 36426])).
% 219.03/141.64 tff(36429,plain,
% 219.03/141.64 (~v123(constB24, 2)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36428, 36415])).
% 219.03/141.64 tff(36430,plain,
% 219.03/141.64 ((~(v84(constB24, 2) <=> v123(constB24, 2))) | (~v84(constB24, 2)) | v123(constB24, 2)),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36431,plain,
% 219.03/141.64 (~v84(constB24, 2)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36430, 36429, 36389])).
% 219.03/141.64 tff(36432,assumption,(~(v84(constB25, 2) <=> v84(constB24, 2))), introduced(assumption)).
% 219.03/141.64 tff(36433,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[30398, 29732, 36432])).
% 219.03/141.64 tff(36434,plain,(v84(constB25, 2) <=> v84(constB24, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36435,plain,
% 219.03/141.64 ((~(v84(constB25, 2) <=> v84(constB24, 2))) | (~v84(constB25, 2)) | v84(constB24, 2)),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36436,plain,
% 219.03/141.64 ((~v84(constB25, 2)) | v84(constB24, 2)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36435, 36434])).
% 219.03/141.64 tff(36437,plain,
% 219.03/141.64 (~v84(constB25, 2)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36436, 36431])).
% 219.03/141.64 tff(36438,assumption,(v84(constB24, 0) <=> v123(constB24, 0)), introduced(assumption)).
% 219.03/141.64 tff(36439,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 0) <=> b011(0)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36440,plain,
% 219.03/141.64 (($false | $false | (v124(constB23, 0) <=> b011(0))) <=> (v124(constB23, 0) <=> b011(0))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36441,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b011(0))) <=> ($false | $false | (v124(constB23, 0) <=> b011(0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.64 tff(36442,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b011(0))) <=> (v124(constB23, 0) <=> b011(0))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36441, 36440])).
% 219.03/141.64 tff(36443,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 0) <=> b011(0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36442])).
% 219.03/141.64 tff(36444,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 0) <=> b011(0)))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36443, 36439])).
% 219.03/141.64 tff(36445,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b011(0)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36446,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (v124(constB23, 0) <=> b011(0))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36445, 36444])).
% 219.03/141.64 tff(36447,plain,
% 219.03/141.64 (v124(constB23, 0) <=> b011(0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36446, 36325])).
% 219.03/141.64 tff(36448,plain,
% 219.03/141.64 ((~(v124(constB23, 0) <=> b011(0))) | v124(constB23, 0) | (~b011(0))),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36449,plain,
% 219.03/141.64 ((~(v124(constB23, 0) <=> b011(0))) | v124(constB23, 0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36448, 2025])).
% 219.03/141.64 tff(36450,plain,
% 219.03/141.64 (v124(constB23, 0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36449, 36447])).
% 219.03/141.64 tff(36451,assumption,(~(v121(constB23, 0) <=> v124(constB23, 0))), introduced(assumption)).
% 219.03/141.64 tff(36452,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 0) <=> v124(constB23, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 0) <=> v124(constB23, 0)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36453,plain,
% 219.03/141.64 (($false | $false | (v121(constB23, 0) <=> v124(constB23, 0))) <=> (v121(constB23, 0) <=> v124(constB23, 0))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36454,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB23, 0) <=> v124(constB23, 0))) <=> ($false | $false | (v121(constB23, 0) <=> v124(constB23, 0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.64 tff(36455,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB23, 0) <=> v124(constB23, 0))) <=> (v121(constB23, 0) <=> v124(constB23, 0))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36454, 36453])).
% 219.03/141.64 tff(36456,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB23, 0) <=> v124(constB23, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 0) <=> v124(constB23, 0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36455])).
% 219.03/141.64 tff(36457,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB23, 0) <=> v124(constB23, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 0) <=> v124(constB23, 0)))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36456, 36452])).
% 219.03/141.64 tff(36458,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB23, 0) <=> v124(constB23, 0)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36459,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB23, B) <=> v124(constB23, B)))) | (v121(constB23, 0) <=> v124(constB23, 0))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36458, 36457])).
% 219.03/141.64 tff(36460,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36459, 36347, 36451])).
% 219.03/141.64 tff(36461,plain,(v121(constB23, 0) <=> v124(constB23, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36462,plain,
% 219.03/141.64 ((~(v121(constB23, 0) <=> v124(constB23, 0))) | v121(constB23, 0) | (~v124(constB23, 0))),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36463,plain,
% 219.03/141.64 (v121(constB23, 0) | (~v124(constB23, 0))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36462, 36461])).
% 219.03/141.64 tff(36464,plain,
% 219.03/141.64 (v121(constB23, 0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36463, 36450])).
% 219.03/141.64 tff(36465,assumption,(~(v123(constB24, 0) <=> v121(constB23, 0))), introduced(assumption)).
% 219.03/141.64 tff(36466,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 0) <=> v121(constB23, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 0) <=> v121(constB23, 0)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36467,plain,
% 219.03/141.64 (($false | $false | (v123(constB24, 0) <=> v121(constB23, 0))) <=> (v123(constB24, 0) <=> v121(constB23, 0))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36468,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB24, 0) <=> v121(constB23, 0))) <=> ($false | $false | (v123(constB24, 0) <=> v121(constB23, 0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.64 tff(36469,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB24, 0) <=> v121(constB23, 0))) <=> (v123(constB24, 0) <=> v121(constB23, 0))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36468, 36467])).
% 219.03/141.64 tff(36470,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB24, 0) <=> v121(constB23, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 0) <=> v121(constB23, 0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36469])).
% 219.03/141.64 tff(36471,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB24, 0) <=> v121(constB23, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 0) <=> v121(constB23, 0)))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36470, 36466])).
% 219.03/141.64 tff(36472,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB24, 0) <=> v121(constB23, 0)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36473,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB24, B) <=> v121(constB23, B)))) | (v123(constB24, 0) <=> v121(constB23, 0))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36472, 36471])).
% 219.03/141.64 tff(36474,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36473, 36368, 36465])).
% 219.03/141.64 tff(36475,plain,(v123(constB24, 0) <=> v121(constB23, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36476,plain,
% 219.03/141.64 ((~(v123(constB24, 0) <=> v121(constB23, 0))) | v123(constB24, 0) | (~v121(constB23, 0))),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36477,plain,
% 219.03/141.64 (v123(constB24, 0) | (~v121(constB23, 0))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36476, 36475])).
% 219.03/141.64 tff(36478,plain,
% 219.03/141.64 (v123(constB24, 0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36477, 36464])).
% 219.03/141.64 tff(36479,plain,
% 219.03/141.64 ((~(v84(constB24, 0) <=> v123(constB24, 0))) | v84(constB24, 0) | (~v123(constB24, 0))),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36480,plain,
% 219.03/141.64 (v84(constB24, 0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36479, 36478, 36438])).
% 219.03/141.64 tff(36481,plain,
% 219.03/141.64 (v84(constB25, 0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[30626, 36480])).
% 219.03/141.64 tff(36482,plain,
% 219.03/141.64 ((~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))) | v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36483,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36482, 36481, 36437, 36388, 36323])).
% 219.03/141.64 tff(36484,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b011(B)))) | (~(v84(constB24, 0) <=> v123(constB24, 0))) | (~(v84(constB24, 2) <=> v123(constB24, 2))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B))) | (~(v84(constB24, 1) <=> v123(constB24, 1)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36485,plain,
% 219.03/141.64 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36484, 36313, 36301, 36291, 36279])).
% 219.03/141.64 tff(36486,assumption,(v124(constB25, 0)), introduced(assumption)).
% 219.03/141.64 tff(36487,plain,
% 219.03/141.64 ((~(v124(constB25, 0) <=> b100(0))) | (~v124(constB25, 0)) | b100(0)),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36488,plain,
% 219.03/141.64 (~(v124(constB25, 0) <=> b100(0))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36487, 3674, 36486])).
% 219.03/141.64 tff(36489,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))), introduced(assumption)).
% 219.03/141.64 tff(36490,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 0) <=> b100(0)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36491,plain,
% 219.03/141.64 (($false | $false | (v124(constB25, 0) <=> b100(0))) <=> (v124(constB25, 0) <=> b100(0))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36492,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b100(0))) <=> ($false | $false | (v124(constB25, 0) <=> b100(0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.64 tff(36493,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b100(0))) <=> (v124(constB25, 0) <=> b100(0))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36492, 36491])).
% 219.03/141.64 tff(36494,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 0) <=> b100(0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36493])).
% 219.03/141.64 tff(36495,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 0) <=> b100(0)))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36494, 36490])).
% 219.03/141.64 tff(36496,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b100(0)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36497,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 0) <=> b100(0))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36496, 36495])).
% 219.03/141.64 tff(36498,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36497, 36489, 36488])).
% 219.03/141.64 tff(36499,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (~v124(constB25, 0))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36500,plain,
% 219.03/141.64 (~v124(constB25, 0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36499, 36485])).
% 219.03/141.64 tff(36501,assumption,(~(v121(constB25, 0) <=> v124(constB25, 0))), introduced(assumption)).
% 219.03/141.64 tff(36502,plain,
% 219.03/141.64 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B))))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36503,plain,
% 219.03/141.64 ((v105(constB25) | ![B: $int] : ((v121(constB25, B) <=> v124(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v105(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B))))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36504,plain,
% 219.03/141.64 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB25) | ![B: $int] : ((v121(constB25, B) <=> v124(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36503])).
% 219.03/141.64 tff(36505,plain,
% 219.03/141.64 (((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB25) | ![B: $int] : ((v121(constB25, B) <=> v124(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B))))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36504, 36502])).
% 219.03/141.64 tff(36506,plain,
% 219.03/141.64 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v105(constB25) | ![B: $int] : ((v121(constB25, B) <=> v124(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36507,plain,
% 219.03/141.64 ((~![VarCurr: state_type] : (v105(VarCurr) | ![B: $int] : ((v121(VarCurr, B) <=> v124(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v105(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36506, 36505])).
% 219.03/141.64 tff(36508,plain,
% 219.03/141.64 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36507, 1562, 30513])).
% 219.03/141.64 tff(36509,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 0) <=> v124(constB25, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 0) <=> v124(constB25, 0)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36510,plain,
% 219.03/141.64 (($false | $false | (v121(constB25, 0) <=> v124(constB25, 0))) <=> (v121(constB25, 0) <=> v124(constB25, 0))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36511,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB25, 0) <=> v124(constB25, 0))) <=> ($false | $false | (v121(constB25, 0) <=> v124(constB25, 0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.64 tff(36512,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB25, 0) <=> v124(constB25, 0))) <=> (v121(constB25, 0) <=> v124(constB25, 0))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36511, 36510])).
% 219.03/141.64 tff(36513,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB25, 0) <=> v124(constB25, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 0) <=> v124(constB25, 0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36512])).
% 219.03/141.64 tff(36514,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB25, 0) <=> v124(constB25, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 0) <=> v124(constB25, 0)))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36513, 36509])).
% 219.03/141.64 tff(36515,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v121(constB25, 0) <=> v124(constB25, 0)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36516,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 0) <=> v124(constB25, 0))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36515, 36514])).
% 219.03/141.64 tff(36517,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36516, 36508, 36501])).
% 219.03/141.64 tff(36518,plain,(v121(constB25, 0) <=> v124(constB25, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36519,plain,
% 219.03/141.64 ((~(v121(constB25, 0) <=> v124(constB25, 0))) | (~v121(constB25, 0)) | v124(constB25, 0)),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36520,plain,
% 219.03/141.64 ((~v121(constB25, 0)) | v124(constB25, 0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36519, 36518])).
% 219.03/141.64 tff(36521,plain,
% 219.03/141.64 (~v121(constB25, 0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36520, 36500])).
% 219.03/141.64 tff(36522,assumption,(~(v123(constB26, 0) <=> v121(constB25, 0))), introduced(assumption)).
% 219.03/141.64 tff(36523,plain,
% 219.03/141.64 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B))))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36524,plain,
% 219.03/141.64 (((~nextState(constB25, constB26)) | ![B: $int] : ((v123(constB26, B) <=> v121(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B))))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36525,plain,
% 219.03/141.64 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB25, constB26)) | ![B: $int] : ((v123(constB26, B) <=> v121(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36524])).
% 219.03/141.64 tff(36526,plain,
% 219.03/141.64 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB25, constB26)) | ![B: $int] : ((v123(constB26, B) <=> v121(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B))))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36525, 36523])).
% 219.03/141.64 tff(36527,plain,
% 219.03/141.64 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~nextState(constB25, constB26)) | ![B: $int] : ((v123(constB26, B) <=> v121(constB25, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36528,plain,
% 219.03/141.64 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ![B: $int] : ((v123(VarNext, B) <=> v121(VarCurr, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~nextState(constB25, constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36527, 36526])).
% 219.03/141.64 tff(36529,plain,
% 219.03/141.64 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36528, 30524, 1527])).
% 219.03/141.64 tff(36530,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 0) <=> v121(constB25, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 0) <=> v121(constB25, 0)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36531,plain,
% 219.03/141.64 (($false | $false | (v123(constB26, 0) <=> v121(constB25, 0))) <=> (v123(constB26, 0) <=> v121(constB25, 0))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36532,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB26, 0) <=> v121(constB25, 0))) <=> ($false | $false | (v123(constB26, 0) <=> v121(constB25, 0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.64 tff(36533,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB26, 0) <=> v121(constB25, 0))) <=> (v123(constB26, 0) <=> v121(constB25, 0))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36532, 36531])).
% 219.03/141.64 tff(36534,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB26, 0) <=> v121(constB25, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 0) <=> v121(constB25, 0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36533])).
% 219.03/141.64 tff(36535,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB26, 0) <=> v121(constB25, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 0) <=> v121(constB25, 0)))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36534, 36530])).
% 219.03/141.64 tff(36536,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v123(constB26, 0) <=> v121(constB25, 0)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36537,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 0) <=> v121(constB25, 0))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36536, 36535])).
% 219.03/141.64 tff(36538,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36537, 36529, 36522])).
% 219.03/141.64 tff(36539,plain,(v123(constB26, 0) <=> v121(constB25, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36540,plain,
% 219.03/141.64 ((~(v123(constB26, 0) <=> v121(constB25, 0))) | (~v123(constB26, 0)) | v121(constB25, 0)),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36541,plain,
% 219.03/141.64 ((~v123(constB26, 0)) | v121(constB25, 0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36540, 36539])).
% 219.03/141.64 tff(36542,plain,
% 219.03/141.64 (~v123(constB26, 0)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36541, 36521])).
% 219.03/141.64 tff(36543,assumption,(~(v84(constB26, 0) <=> v123(constB26, 0))), introduced(assumption)).
% 219.03/141.64 tff(36544,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))), introduced(assumption)).
% 219.03/141.64 tff(36545,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 0) <=> v123(constB26, 0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 0) <=> v123(constB26, 0)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36546,plain,
% 219.03/141.64 (($false | $false | (v84(constB26, 0) <=> v123(constB26, 0))) <=> (v84(constB26, 0) <=> v123(constB26, 0))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36547,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB26, 0) <=> v123(constB26, 0))) <=> ($false | $false | (v84(constB26, 0) <=> v123(constB26, 0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.64 tff(36548,plain,
% 219.03/141.64 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB26, 0) <=> v123(constB26, 0))) <=> (v84(constB26, 0) <=> v123(constB26, 0))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36547, 36546])).
% 219.03/141.64 tff(36549,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB26, 0) <=> v123(constB26, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 0) <=> v123(constB26, 0)))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36548])).
% 219.03/141.64 tff(36550,plain,
% 219.03/141.64 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB26, 0) <=> v123(constB26, 0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 0) <=> v123(constB26, 0)))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36549, 36545])).
% 219.03/141.64 tff(36551,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v84(constB26, 0) <=> v123(constB26, 0)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36552,plain,
% 219.03/141.64 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 0) <=> v123(constB26, 0))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36551, 36550])).
% 219.03/141.64 tff(36553,plain,
% 219.03/141.64 ($false),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36552, 36544, 36543])).
% 219.03/141.64 tff(36554,plain,((v84(constB26, 0) <=> v123(constB26, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.64 tff(36555,plain,
% 219.03/141.64 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36554, 36543])).
% 219.03/141.64 tff(36556,plain,
% 219.03/141.64 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B))))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36557,plain,
% 219.03/141.64 (((~v94(constB26)) | ![B: $int] : ((v84(constB26, B) <=> v123(constB26, B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v94(constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B))))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36558,plain,
% 219.03/141.64 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB26)) | ![B: $int] : ((v84(constB26, B) <=> v123(constB26, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36557])).
% 219.03/141.64 tff(36559,plain,
% 219.03/141.64 (((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB26)) | ![B: $int] : ((v84(constB26, B) <=> v123(constB26, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B))))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36558, 36556])).
% 219.03/141.64 tff(36560,plain,
% 219.03/141.64 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v94(constB26)) | ![B: $int] : ((v84(constB26, B) <=> v123(constB26, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36561,plain,
% 219.03/141.64 ((~![VarNext: state_type] : ((~v94(VarNext)) | ![B: $int] : ((v84(VarNext, B) <=> v123(VarNext, B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v94(constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36560, 36559])).
% 219.03/141.64 tff(36562,plain,
% 219.03/141.64 ((~v94(constB26)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36561, 1491])).
% 219.03/141.64 tff(36563,plain,
% 219.03/141.64 (~v94(constB26)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36562, 36555])).
% 219.03/141.64 tff(36564,plain,
% 219.03/141.64 ((~(v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26)))))) | v94(constB26) | ((~v95(constB26)) | (~v104(constB26)))),
% 219.03/141.64 inference(tautology,[status(thm)],[])).
% 219.03/141.64 tff(36565,plain,
% 219.03/141.64 (v94(constB26) | ((~v95(constB26)) | (~v104(constB26)))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36564, 30537])).
% 219.03/141.64 tff(36566,plain,
% 219.03/141.64 ((~v95(constB26)) | (~v104(constB26))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36565, 36563])).
% 219.03/141.64 tff(36567,plain,
% 219.03/141.64 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36568,plain,
% 219.03/141.64 (((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26)))))) <=> ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36569,plain,
% 219.03/141.64 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26)))))))),
% 219.03/141.64 inference(monotonicity,[status(thm)],[36568])).
% 219.03/141.64 tff(36570,plain,
% 219.03/141.64 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26))))))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))),
% 219.03/141.64 inference(transitivity,[status(thm)],[36569, 36567])).
% 219.03/141.64 tff(36571,plain,
% 219.03/141.64 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26))))))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36572,plain,
% 219.03/141.64 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26)))))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36571, 36570])).
% 219.03/141.64 tff(36573,plain,
% 219.03/141.64 (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36572, 30524, 37])).
% 219.03/141.64 tff(36574,plain,
% 219.03/141.64 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26)))),
% 219.03/141.64 inference(rewrite,[status(thm)],[])).
% 219.03/141.64 tff(36575,plain,
% 219.03/141.64 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26)))),
% 219.03/141.64 inference(quant_inst,[status(thm)],[])).
% 219.03/141.64 tff(36576,plain,
% 219.03/141.64 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26))),
% 219.03/141.64 inference(modus_ponens,[status(thm)],[36575, 36574])).
% 219.03/141.64 tff(36577,plain,
% 219.03/141.64 ((~v96(constB26)) <=> v98(constB26)),
% 219.03/141.64 inference(unit_resolution,[status(thm)],[36576, 30524, 54])).
% 219.03/141.64 tff(36578,plain,
% 219.03/141.64 (((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25)))) <=> ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25)))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36579,plain,
% 219.03/141.65 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25)))),
% 219.03/141.65 inference(quant_inst,[status(thm)],[])).
% 219.03/141.65 tff(36580,plain,
% 219.03/141.65 ((~![VarCurr: state_type, VarNext: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25))),
% 219.03/141.65 inference(modus_ponens,[status(thm)],[36579, 36578])).
% 219.03/141.65 tff(36581,plain,
% 219.03/141.65 (v98(constB26) <=> v1(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36580, 30524, 68])).
% 219.03/141.65 tff(36582,plain,
% 219.03/141.65 ((~(v98(constB26) <=> v1(constB25))) | (~v98(constB26)) | v1(constB25)),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36583,plain,
% 219.03/141.65 ((~(v98(constB26) <=> v1(constB25))) | (~v98(constB26))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36582, 29715])).
% 219.03/141.65 tff(36584,plain,
% 219.03/141.65 (~v98(constB26)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36583, 36581])).
% 219.03/141.65 tff(36585,plain,
% 219.03/141.65 ((~((~v96(constB26)) <=> v98(constB26))) | v96(constB26) | v98(constB26)),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36586,plain,
% 219.03/141.65 (v96(constB26)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36585, 36584, 36577])).
% 219.03/141.65 tff(36587,plain,
% 219.03/141.65 (v1(constB26) <=> v1(constB26)),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36588,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26')).
% 219.03/141.65 tff(36589,plain,
% 219.03/141.65 (v1(constB26)),
% 219.03/141.65 inference(modus_ponens,[status(thm)],[36588, 36587])).
% 219.03/141.65 tff(36590,plain,
% 219.03/141.65 ((~((~v1(constB26)) | (~v96(constB26)))) | (~v1(constB26)) | (~v96(constB26))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36591,plain,
% 219.03/141.65 ((~((~v1(constB26)) | (~v96(constB26)))) | (~v96(constB26))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36590, 36589])).
% 219.03/141.65 tff(36592,plain,
% 219.03/141.65 (~((~v1(constB26)) | (~v96(constB26)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36591, 36586])).
% 219.03/141.65 tff(36593,plain,
% 219.03/141.65 ((~(v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26)))))) | v95(constB26) | ((~v1(constB26)) | (~v96(constB26)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36594,plain,
% 219.03/141.65 (v95(constB26)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36593, 36592, 36573])).
% 219.03/141.65 tff(36595,plain,
% 219.03/141.65 ((~((~v95(constB26)) | (~v104(constB26)))) | (~v95(constB26)) | (~v104(constB26))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36596,plain,
% 219.03/141.65 ((~((~v95(constB26)) | (~v104(constB26)))) | (~v104(constB26))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36595, 36594])).
% 219.03/141.65 tff(36597,plain,
% 219.03/141.65 (~v104(constB26)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36596, 36566])).
% 219.03/141.65 tff(36598,plain,
% 219.03/141.65 ((~(v104(constB26) <=> v102(constB25))) | v104(constB26) | (~v102(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36599,plain,
% 219.03/141.65 (v104(constB26) | (~v102(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36598, 30528])).
% 219.03/141.65 tff(36600,plain,
% 219.03/141.65 (~v102(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36599, 36597])).
% 219.03/141.65 tff(36601,plain,
% 219.03/141.65 ((~(v102(constB25) <=> (v105(constB25) | v106(constB25)))) | v102(constB25) | (~(v105(constB25) | v106(constB25)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36602,plain,
% 219.03/141.65 (v102(constB25) | (~(v105(constB25) | v106(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36601, 30518])).
% 219.03/141.65 tff(36603,plain,
% 219.03/141.65 (~(v105(constB25) | v106(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36602, 36600])).
% 219.03/141.65 tff(36604,plain,
% 219.03/141.65 ((v105(constB25) | v106(constB25)) | (~v106(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36605,plain,
% 219.03/141.65 (~v106(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36604, 36603])).
% 219.03/141.65 tff(36606,plain,
% 219.03/141.65 ((~(v106(constB25) <=> (~((~v107(constB25)) | (~v120(constB25)))))) | v106(constB25) | ((~v107(constB25)) | (~v120(constB25)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36607,plain,
% 219.03/141.65 (v106(constB25) | ((~v107(constB25)) | (~v120(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36606, 30503])).
% 219.03/141.65 tff(36608,plain,
% 219.03/141.65 ((~v107(constB25)) | (~v120(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36607, 36605])).
% 219.03/141.65 tff(36609,plain,
% 219.03/141.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB25)) <=> v105(constB25))),
% 219.03/141.65 inference(quant_inst,[status(thm)],[])).
% 219.03/141.65 tff(36610,plain,
% 219.03/141.65 ((~v120(constB25)) <=> v105(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36609, 144])).
% 219.03/141.65 tff(36611,plain,
% 219.03/141.65 ((~((~v120(constB25)) <=> v105(constB25))) | v120(constB25) | v105(constB25)),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36612,plain,
% 219.03/141.65 ((~((~v120(constB25)) <=> v105(constB25))) | v120(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36611, 30513])).
% 219.03/141.65 tff(36613,plain,
% 219.03/141.65 (v120(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36612, 36610])).
% 219.03/141.65 tff(36614,plain,
% 219.03/141.65 ((~((~v107(constB25)) | (~v120(constB25)))) | (~v107(constB25)) | (~v120(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36615,plain,
% 219.03/141.65 ((~((~v107(constB25)) | (~v120(constB25)))) | (~v107(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36614, 36613])).
% 219.03/141.65 tff(36616,plain,
% 219.03/141.65 (~v107(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36615, 36608])).
% 219.03/141.65 tff(36617,plain,
% 219.03/141.65 ((~(v107(constB25) <=> (v108(constB25) | v119(constB25)))) | v107(constB25) | (~(v108(constB25) | v119(constB25)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36618,plain,
% 219.03/141.65 (v107(constB25) | (~(v108(constB25) | v119(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36617, 30496])).
% 219.03/141.65 tff(36619,plain,
% 219.03/141.65 (~(v108(constB25) | v119(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36618, 36616])).
% 219.03/141.65 tff(36620,plain,
% 219.03/141.65 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30547, 36563])).
% 219.03/141.65 tff(36621,plain,
% 219.03/141.65 (v84(constB26, 1) <=> v84(constB25, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30556, 36620])).
% 219.03/141.65 tff(36622,assumption,(~v102(constB25)), introduced(assumption)).
% 219.03/141.65 tff(36623,plain,
% 219.03/141.65 (~(v105(constB25) | v106(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36602, 36622])).
% 219.03/141.65 tff(36624,plain,
% 219.03/141.65 (~v106(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36604, 36623])).
% 219.03/141.65 tff(36625,plain,
% 219.03/141.65 ((~v107(constB25)) | (~v120(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36607, 36624])).
% 219.03/141.65 tff(36626,plain,
% 219.03/141.65 (~v107(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36615, 36625])).
% 219.03/141.65 tff(36627,plain,
% 219.03/141.65 (~(v108(constB25) | v119(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36618, 36626])).
% 219.03/141.65 tff(36628,plain,
% 219.03/141.65 ((v108(constB25) | v119(constB25)) | (~v108(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36629,plain,
% 219.03/141.65 (~v108(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36628, 36627])).
% 219.03/141.65 tff(36630,plain,
% 219.03/141.65 ((~(v108(constB25) <=> (v109(constB25) | v118(constB25)))) | v108(constB25) | (~(v109(constB25) | v118(constB25)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36631,plain,
% 219.03/141.65 ((~(v108(constB25) <=> (v109(constB25) | v118(constB25)))) | (~(v109(constB25) | v118(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36630, 36629])).
% 219.03/141.65 tff(36632,plain,
% 219.03/141.65 (~(v109(constB25) | v118(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36631, 30443])).
% 219.03/141.65 tff(36633,plain,
% 219.03/141.65 ((v109(constB25) | v118(constB25)) | (~v109(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36634,plain,
% 219.03/141.65 (~v109(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36633, 36632])).
% 219.03/141.65 tff(36635,plain,
% 219.03/141.65 ((~(v109(constB25) <=> (v110(constB25) | v117(constB25)))) | v109(constB25) | (~(v110(constB25) | v117(constB25)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36636,plain,
% 219.03/141.65 ((~(v109(constB25) <=> (v110(constB25) | v117(constB25)))) | (~(v110(constB25) | v117(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36635, 36634])).
% 219.03/141.65 tff(36637,plain,
% 219.03/141.65 (~(v110(constB25) | v117(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36636, 30441])).
% 219.03/141.65 tff(36638,plain,
% 219.03/141.65 ((v110(constB25) | v117(constB25)) | (~v117(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36639,plain,
% 219.03/141.65 (~v117(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36638, 36637])).
% 219.03/141.65 tff(36640,plain,
% 219.03/141.65 ((~(v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))) | v117(constB25) | (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36641,plain,
% 219.03/141.65 ((~(v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))) | (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36640, 36639])).
% 219.03/141.65 tff(36642,plain,
% 219.03/141.65 (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36641, 30480])).
% 219.03/141.65 tff(36643,assumption,(~v84(constB26, 1)), introduced(assumption)).
% 219.03/141.65 tff(36644,assumption,(~v84(constB25, 2)), introduced(assumption)).
% 219.03/141.65 tff(36645,plain,
% 219.03/141.65 ((v110(constB25) | v117(constB25)) | (~v110(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36646,plain,
% 219.03/141.65 (~v110(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36645, 36637])).
% 219.03/141.65 tff(36647,plain,
% 219.03/141.65 ((~(v110(constB25) <=> (v111(constB25) | v116(constB25)))) | v110(constB25) | (~(v111(constB25) | v116(constB25)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36648,plain,
% 219.03/141.65 ((~(v110(constB25) <=> (v111(constB25) | v116(constB25)))) | (~(v111(constB25) | v116(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36647, 36646])).
% 219.03/141.65 tff(36649,plain,
% 219.03/141.65 (~(v111(constB25) | v116(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36648, 30107])).
% 219.03/141.65 tff(36650,plain,
% 219.03/141.65 ((v111(constB25) | v116(constB25)) | (~v111(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36651,plain,
% 219.03/141.65 (~v111(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36650, 36649])).
% 219.03/141.65 tff(36652,plain,
% 219.03/141.65 ((~(v111(constB25) <=> (v112(constB25) | v115(constB25)))) | v111(constB25) | (~(v112(constB25) | v115(constB25)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36653,plain,
% 219.03/141.65 ((~(v111(constB25) <=> (v112(constB25) | v115(constB25)))) | (~(v112(constB25) | v115(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36652, 36651])).
% 219.03/141.65 tff(36654,plain,
% 219.03/141.65 (~(v112(constB25) | v115(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36653, 30109])).
% 219.03/141.65 tff(36655,plain,
% 219.03/141.65 ((v112(constB25) | v115(constB25)) | (~v112(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36656,plain,
% 219.03/141.65 (~v112(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36655, 36654])).
% 219.03/141.65 tff(36657,plain,
% 219.03/141.65 ((~(v112(constB25) <=> (v113(constB25) | v114(constB25)))) | v112(constB25) | (~(v113(constB25) | v114(constB25)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36658,plain,
% 219.03/141.65 ((~(v112(constB25) <=> (v113(constB25) | v114(constB25)))) | (~(v113(constB25) | v114(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36657, 36656])).
% 219.03/141.65 tff(36659,plain,
% 219.03/141.65 (~(v113(constB25) | v114(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36658, 30111])).
% 219.03/141.65 tff(36660,plain,
% 219.03/141.65 ((v113(constB25) | v114(constB25)) | (~v114(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36661,plain,
% 219.03/141.65 (~v114(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36660, 36659])).
% 219.03/141.65 tff(36662,plain,
% 219.03/141.65 ((~(v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))))) | v114(constB25) | (v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36663,plain,
% 219.03/141.65 ((~(v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))))) | (v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36662, 36661])).
% 219.03/141.65 tff(36664,plain,
% 219.03/141.65 (v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36663, 30113])).
% 219.03/141.65 tff(36665,plain,
% 219.03/141.65 (~v104(constB26)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30530, 36622])).
% 219.03/141.65 tff(36666,plain,
% 219.03/141.65 ((~v95(constB26)) | (~v104(constB26))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30532, 36665])).
% 219.03/141.65 tff(36667,plain,
% 219.03/141.65 (~v94(constB26)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30539, 36666])).
% 219.03/141.65 tff(36668,plain,
% 219.03/141.65 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30547, 36667])).
% 219.03/141.65 tff(36669,plain,
% 219.03/141.65 (v84(constB26, 0) <=> v84(constB25, 0)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30618, 36668])).
% 219.03/141.65 tff(36670,plain,
% 219.03/141.65 (v84(constB26, 2) <=> v84(constB25, 2)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30752, 36668])).
% 219.03/141.65 tff(36671,plain,
% 219.03/141.65 ((~(v84(constB26, 2) <=> v84(constB25, 2))) | (~v84(constB26, 2)) | v84(constB25, 2)),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36672,plain,
% 219.03/141.65 ((~(v84(constB26, 2) <=> v84(constB25, 2))) | (~v84(constB26, 2))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36671, 36644])).
% 219.03/141.65 tff(36673,plain,
% 219.03/141.65 (~v84(constB26, 2)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36672, 36670])).
% 219.03/141.65 tff(36674,assumption,(~v84(constB26, 0)), introduced(assumption)).
% 219.03/141.65 tff(36675,plain,
% 219.03/141.65 ((~(v84(constB26, 0) <=> v84(constB25, 0))) | (~v84(constB25, 0))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30628, 36674])).
% 219.03/141.65 tff(36676,plain,
% 219.03/141.65 (~v84(constB25, 0)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36675, 36669])).
% 219.03/141.65 tff(36677,assumption,(~v84(constB26, 2)), introduced(assumption)).
% 219.03/141.65 tff(36678,plain,
% 219.03/141.65 ((~(v84(constB26, 2) <=> v84(constB25, 2))) | (~v84(constB25, 2))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30759, 36677])).
% 219.03/141.65 tff(36679,plain,
% 219.03/141.65 (~v84(constB25, 2)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36678, 36670])).
% 219.03/141.65 tff(36680,plain,
% 219.03/141.65 (v84(constB26, 1) <=> v84(constB25, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30556, 36668])).
% 219.03/141.65 tff(36681,plain,
% 219.03/141.65 ((~(v84(constB26, 1) <=> v84(constB25, 1))) | (~v84(constB25, 1))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30558, 36643])).
% 219.03/141.65 tff(36682,plain,
% 219.03/141.65 (~v84(constB25, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36681, 36680])).
% 219.03/141.65 tff(36683,plain,
% 219.03/141.65 ((~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))) | v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36684,plain,
% 219.03/141.65 (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36683, 36682, 36679, 36676])).
% 219.03/141.65 tff(36685,plain,
% 219.03/141.65 ((~(v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))) | v113(constB25) | (v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36686,plain,
% 219.03/141.65 ((~(v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))) | v113(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36685, 36684])).
% 219.03/141.65 tff(36687,plain,
% 219.03/141.65 (v113(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36686, 30119])).
% 219.03/141.65 tff(36688,plain,
% 219.03/141.65 ((v113(constB25) | v114(constB25)) | (~v113(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36689,plain,
% 219.03/141.65 (v113(constB25) | v114(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36688, 36687])).
% 219.03/141.65 tff(36690,plain,
% 219.03/141.65 ((~(v112(constB25) <=> (v113(constB25) | v114(constB25)))) | v112(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36657, 36689])).
% 219.03/141.65 tff(36691,plain,
% 219.03/141.65 (v112(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36690, 30111])).
% 219.03/141.65 tff(36692,plain,
% 219.03/141.65 (v112(constB25) | v115(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36655, 36691])).
% 219.03/141.65 tff(36693,plain,
% 219.03/141.65 (v111(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36652, 36692, 30109])).
% 219.03/141.65 tff(36694,plain,
% 219.03/141.65 (v107(constB25) <=> (v108(constB25) | v119(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30494, 187])).
% 219.03/141.65 tff(36695,plain,
% 219.03/141.65 ((~(v107(constB25) <=> (v108(constB25) | v119(constB25)))) | (~(v108(constB25) | v119(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36617, 36626])).
% 219.03/141.65 tff(36696,plain,
% 219.03/141.65 (~(v108(constB25) | v119(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36695, 36694])).
% 219.03/141.65 tff(36697,plain,
% 219.03/141.65 (~v108(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36628, 36696])).
% 219.03/141.65 tff(36698,plain,
% 219.03/141.65 ((~(v108(constB25) <=> (v109(constB25) | v118(constB25)))) | (~(v109(constB25) | v118(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36630, 36697])).
% 219.03/141.65 tff(36699,plain,
% 219.03/141.65 (~(v109(constB25) | v118(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36698, 30443])).
% 219.03/141.65 tff(36700,plain,
% 219.03/141.65 (~v109(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36633, 36699])).
% 219.03/141.65 tff(36701,plain,
% 219.03/141.65 ((~(v109(constB25) <=> (v110(constB25) | v117(constB25)))) | (~(v110(constB25) | v117(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36635, 36700])).
% 219.03/141.65 tff(36702,plain,
% 219.03/141.65 (~(v110(constB25) | v117(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36701, 30441])).
% 219.03/141.65 tff(36703,plain,
% 219.03/141.65 (~v110(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36645, 36702])).
% 219.03/141.65 tff(36704,plain,
% 219.03/141.65 (~(v111(constB25) | v116(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36647, 36703, 30107])).
% 219.03/141.65 tff(36705,plain,
% 219.03/141.65 ($false),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36650, 36704, 36693])).
% 219.03/141.65 tff(36706,plain,(v102(constB25) | v84(constB26, 2) | v84(constB26, 0) | v84(constB26, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.65 tff(36707,plain,
% 219.03/141.65 (v84(constB26, 0)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36706, 36673, 36622, 36643])).
% 219.03/141.65 tff(36708,plain,
% 219.03/141.65 ((~(v84(constB26, 0) <=> v84(constB25, 0))) | (~v84(constB26, 0)) | v84(constB25, 0)),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36709,plain,
% 219.03/141.65 ((~(v84(constB26, 0) <=> v84(constB25, 0))) | v84(constB25, 0)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36708, 36707])).
% 219.03/141.65 tff(36710,plain,
% 219.03/141.65 (v84(constB25, 0)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36709, 36669])).
% 219.03/141.65 tff(36711,plain,
% 219.03/141.65 ((~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))) | v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36712,plain,
% 219.03/141.65 ($false),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36711, 36682, 36710, 36664, 36644])).
% 219.03/141.65 tff(36713,plain,(v84(constB25, 2) | v84(constB26, 1) | v102(constB25)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.65 tff(36714,plain,
% 219.03/141.65 (v84(constB25, 2)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36713, 36643, 36622])).
% 219.03/141.65 tff(36715,plain,
% 219.03/141.65 ((v109(constB25) | v118(constB25)) | (~v118(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36716,plain,
% 219.03/141.65 (~v118(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36715, 36632])).
% 219.03/141.65 tff(36717,plain,
% 219.03/141.65 ((~(v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))) | v118(constB25) | (v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36718,plain,
% 219.03/141.65 ((~(v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))) | (v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36717, 36716])).
% 219.03/141.65 tff(36719,plain,
% 219.03/141.65 (v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36718, 30458])).
% 219.03/141.65 tff(36720,plain,
% 219.03/141.65 ((~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))) | v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36721,plain,
% 219.03/141.65 (~v84(constB25, 0)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36720, 36682, 36719, 36714])).
% 219.03/141.65 tff(36722,plain,
% 219.03/141.65 ((~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))) | v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36723,plain,
% 219.03/141.65 ($false),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36722, 36721, 36682, 36714, 36642])).
% 219.03/141.65 tff(36724,plain,(v84(constB26, 1) | v102(constB25)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.65 tff(36725,plain,
% 219.03/141.65 (v84(constB26, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36724, 36600])).
% 219.03/141.65 tff(36726,plain,
% 219.03/141.65 ((~(v84(constB26, 1) <=> v84(constB25, 1))) | (~v84(constB26, 1)) | v84(constB25, 1)),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36727,plain,
% 219.03/141.65 ((~(v84(constB26, 1) <=> v84(constB25, 1))) | v84(constB25, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36726, 36725])).
% 219.03/141.65 tff(36728,plain,
% 219.03/141.65 (v84(constB25, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36727, 36621])).
% 219.03/141.65 tff(36729,assumption,(v84(constB25, 1)), introduced(assumption)).
% 219.03/141.65 tff(36730,assumption,(~v84(constB25, 0)), introduced(assumption)).
% 219.03/141.65 tff(36731,assumption,(~(v108(constB25) | v119(constB25))), introduced(assumption)).
% 219.03/141.65 tff(36732,plain,
% 219.03/141.65 ((v108(constB25) | v119(constB25)) | (~v119(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36733,plain,
% 219.03/141.65 (~v119(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36732, 36731])).
% 219.03/141.65 tff(36734,assumption,(~(v119(constB25) <=> (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))))), introduced(assumption)).
% 219.03/141.65 tff(36735,plain,
% 219.03/141.65 ($false),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30445, 318, 36734])).
% 219.03/141.65 tff(36736,plain,(v119(constB25) <=> (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.65 tff(36737,plain,
% 219.03/141.65 ((~(v119(constB25) <=> (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))))) | v119(constB25) | (v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36738,plain,
% 219.03/141.65 (v119(constB25) | (v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36737, 36736])).
% 219.03/141.65 tff(36739,plain,
% 219.03/141.65 (v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36738, 36733])).
% 219.03/141.65 tff(36740,plain,
% 219.03/141.65 ((~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))) | v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36741,plain,
% 219.03/141.65 (~v84(constB25, 2)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36740, 36739, 36730, 36729])).
% 219.03/141.65 tff(36742,plain,
% 219.03/141.65 ((~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))) | v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36743,plain,
% 219.03/141.65 (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36742, 36741, 36730, 36729])).
% 219.03/141.65 tff(36744,plain,
% 219.03/141.65 ((~(v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))) | v115(constB25) | (v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36745,plain,
% 219.03/141.65 (v115(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36744, 36743, 30390])).
% 219.03/141.65 tff(36746,plain,
% 219.03/141.65 ((v112(constB25) | v115(constB25)) | (~v115(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36747,plain,
% 219.03/141.65 (v112(constB25) | v115(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36746, 36745])).
% 219.03/141.65 tff(36748,plain,
% 219.03/141.65 (~v108(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36628, 36731])).
% 219.03/141.65 tff(36749,plain,
% 219.03/141.65 (~(v109(constB25) | v118(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36630, 36748, 30443])).
% 219.03/141.65 tff(36750,plain,
% 219.03/141.65 (~v109(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36633, 36749])).
% 219.03/141.65 tff(36751,plain,
% 219.03/141.65 (~(v110(constB25) | v117(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36635, 36750, 30441])).
% 219.03/141.65 tff(36752,plain,
% 219.03/141.65 (~v110(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36645, 36751])).
% 219.03/141.65 tff(36753,plain,
% 219.03/141.65 (~(v111(constB25) | v116(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36647, 36752, 30107])).
% 219.03/141.65 tff(36754,plain,
% 219.03/141.65 (~v111(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36650, 36753])).
% 219.03/141.65 tff(36755,plain,
% 219.03/141.65 ($false),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36652, 36754, 36747, 30109])).
% 219.03/141.65 tff(36756,plain,((v108(constB25) | v119(constB25)) | v84(constB25, 0) | (~v84(constB25, 1))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.65 tff(36757,plain,
% 219.03/141.65 (v84(constB25, 0)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36756, 36728, 36619])).
% 219.03/141.65 tff(36758,plain,
% 219.03/141.65 ((v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))) | (~v84(constB25, 0))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36759,plain,
% 219.03/141.65 (v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36758, 36757])).
% 219.03/141.65 tff(36760,plain,
% 219.03/141.65 ((~(v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))) | (~v115(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30417, 36759])).
% 219.03/141.65 tff(36761,plain,
% 219.03/141.65 (~v115(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36760, 30390])).
% 219.03/141.65 tff(36762,plain,
% 219.03/141.65 (v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30104, 36728])).
% 219.03/141.65 tff(36763,assumption,(~(v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))))), introduced(assumption)).
% 219.03/141.65 tff(36764,plain,
% 219.03/141.65 ($false),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30112, 298, 36763])).
% 219.03/141.65 tff(36765,plain,(v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.65 tff(36766,plain,
% 219.03/141.65 ((~v114(constB25)) | (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30115, 36765])).
% 219.03/141.65 tff(36767,plain,
% 219.03/141.65 (~v114(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36766, 36762])).
% 219.03/141.65 tff(36768,plain,
% 219.03/141.65 (~v108(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36628, 36619])).
% 219.03/141.65 tff(36769,plain,
% 219.03/141.65 ((~(v108(constB25) <=> (v109(constB25) | v118(constB25)))) | (~(v109(constB25) | v118(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36630, 36768])).
% 219.03/141.65 tff(36770,plain,
% 219.03/141.65 (~(v109(constB25) | v118(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36769, 30443])).
% 219.03/141.65 tff(36771,plain,
% 219.03/141.65 (~v109(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36633, 36770])).
% 219.03/141.65 tff(36772,plain,
% 219.03/141.65 ((~(v109(constB25) <=> (v110(constB25) | v117(constB25)))) | (~(v110(constB25) | v117(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36635, 36771])).
% 219.03/141.65 tff(36773,plain,
% 219.03/141.65 (~(v110(constB25) | v117(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36772, 30441])).
% 219.03/141.65 tff(36774,plain,
% 219.03/141.65 (~v110(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36645, 36773])).
% 219.03/141.65 tff(36775,plain,
% 219.03/141.65 ((~(v110(constB25) <=> (v111(constB25) | v116(constB25)))) | (~(v111(constB25) | v116(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36647, 36774])).
% 219.03/141.65 tff(36776,plain,
% 219.03/141.65 (~(v111(constB25) | v116(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36775, 30107])).
% 219.03/141.65 tff(36777,plain,
% 219.03/141.65 ((v111(constB25) | v116(constB25)) | (~v116(constB25))),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36778,plain,
% 219.03/141.65 (~v116(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36777, 36776])).
% 219.03/141.65 tff(36779,plain,
% 219.03/141.65 (v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30374, 36757])).
% 219.03/141.65 tff(36780,plain,
% 219.03/141.65 ((~(v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))) | (~v113(constB25))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[30376, 36779])).
% 219.03/141.65 tff(36781,plain,
% 219.03/141.65 (~v113(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36780, 30119])).
% 219.03/141.65 tff(36782,plain,
% 219.03/141.65 (~v118(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36715, 36770])).
% 219.03/141.65 tff(36783,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 1) <=> v121(constB25, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 1) <=> v121(constB25, 1)))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36784,plain,
% 219.03/141.65 (($false | $false | (v123(constB26, 1) <=> v121(constB25, 1))) <=> (v123(constB26, 1) <=> v121(constB25, 1))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36785,plain,
% 219.03/141.65 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB26, 1) <=> v121(constB25, 1))) <=> ($false | $false | (v123(constB26, 1) <=> v121(constB25, 1)))),
% 219.03/141.65 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.65 tff(36786,plain,
% 219.03/141.65 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB26, 1) <=> v121(constB25, 1))) <=> (v123(constB26, 1) <=> v121(constB25, 1))),
% 219.03/141.65 inference(transitivity,[status(thm)],[36785, 36784])).
% 219.03/141.65 tff(36787,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB26, 1) <=> v121(constB25, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 1) <=> v121(constB25, 1)))),
% 219.03/141.65 inference(monotonicity,[status(thm)],[36786])).
% 219.03/141.65 tff(36788,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB26, 1) <=> v121(constB25, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 1) <=> v121(constB25, 1)))),
% 219.03/141.65 inference(transitivity,[status(thm)],[36787, 36783])).
% 219.03/141.65 tff(36789,plain,
% 219.03/141.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB26, 1) <=> v121(constB25, 1)))),
% 219.03/141.65 inference(quant_inst,[status(thm)],[])).
% 219.03/141.65 tff(36790,plain,
% 219.03/141.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 1) <=> v121(constB25, 1))),
% 219.03/141.65 inference(modus_ponens,[status(thm)],[36789, 36788])).
% 219.03/141.65 tff(36791,plain,
% 219.03/141.65 (v123(constB26, 1) <=> v121(constB25, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36790, 36529])).
% 219.03/141.65 tff(36792,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 1) <=> v124(constB25, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 1) <=> v124(constB25, 1)))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36793,plain,
% 219.03/141.65 (($false | $false | (v121(constB25, 1) <=> v124(constB25, 1))) <=> (v121(constB25, 1) <=> v124(constB25, 1))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36794,plain,
% 219.03/141.65 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB25, 1) <=> v124(constB25, 1))) <=> ($false | $false | (v121(constB25, 1) <=> v124(constB25, 1)))),
% 219.03/141.65 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.65 tff(36795,plain,
% 219.03/141.65 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB25, 1) <=> v124(constB25, 1))) <=> (v121(constB25, 1) <=> v124(constB25, 1))),
% 219.03/141.65 inference(transitivity,[status(thm)],[36794, 36793])).
% 219.03/141.65 tff(36796,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB25, 1) <=> v124(constB25, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 1) <=> v124(constB25, 1)))),
% 219.03/141.65 inference(monotonicity,[status(thm)],[36795])).
% 219.03/141.65 tff(36797,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB25, 1) <=> v124(constB25, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 1) <=> v124(constB25, 1)))),
% 219.03/141.65 inference(transitivity,[status(thm)],[36796, 36792])).
% 219.03/141.65 tff(36798,plain,
% 219.03/141.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB25, 1) <=> v124(constB25, 1)))),
% 219.03/141.65 inference(quant_inst,[status(thm)],[])).
% 219.03/141.65 tff(36799,plain,
% 219.03/141.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 1) <=> v124(constB25, 1))),
% 219.03/141.65 inference(modus_ponens,[status(thm)],[36798, 36797])).
% 219.03/141.65 tff(36800,plain,
% 219.03/141.65 (v121(constB25, 1) <=> v124(constB25, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36799, 36508])).
% 219.03/141.65 tff(36801,assumption,(v117(constB25)), introduced(assumption)).
% 219.03/141.65 tff(36802,plain,
% 219.03/141.65 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B))))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36803,plain,
% 219.03/141.65 (((~v117(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B))))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36804,plain,
% 219.03/141.65 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))))),
% 219.03/141.65 inference(monotonicity,[status(thm)],[36803])).
% 219.03/141.65 tff(36805,plain,
% 219.03/141.65 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B))))),
% 219.03/141.65 inference(transitivity,[status(thm)],[36804, 36802])).
% 219.03/141.65 tff(36806,plain,
% 219.03/141.65 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.65 inference(quant_inst,[status(thm)],[])).
% 219.03/141.65 tff(36807,plain,
% 219.03/141.65 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))),
% 219.03/141.65 inference(modus_ponens,[status(thm)],[36806, 36805])).
% 219.03/141.65 tff(36808,plain,
% 219.03/141.65 ((~v117(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36807, 2090])).
% 219.03/141.65 tff(36809,plain,
% 219.03/141.65 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36808, 36801])).
% 219.03/141.65 tff(36810,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 1) <=> b101(1)))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36811,plain,
% 219.03/141.65 (($false | $false | (v124(constB25, 1) <=> b101(1))) <=> (v124(constB25, 1) <=> b101(1))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36812,plain,
% 219.03/141.65 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b101(1))) <=> ($false | $false | (v124(constB25, 1) <=> b101(1)))),
% 219.03/141.65 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.65 tff(36813,plain,
% 219.03/141.65 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b101(1))) <=> (v124(constB25, 1) <=> b101(1))),
% 219.03/141.65 inference(transitivity,[status(thm)],[36812, 36811])).
% 219.03/141.65 tff(36814,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 1) <=> b101(1)))),
% 219.03/141.65 inference(monotonicity,[status(thm)],[36813])).
% 219.03/141.65 tff(36815,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 1) <=> b101(1)))),
% 219.03/141.65 inference(transitivity,[status(thm)],[36814, 36810])).
% 219.03/141.65 tff(36816,plain,
% 219.03/141.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b101(1)))),
% 219.03/141.65 inference(quant_inst,[status(thm)],[])).
% 219.03/141.65 tff(36817,plain,
% 219.03/141.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 1) <=> b101(1))),
% 219.03/141.65 inference(modus_ponens,[status(thm)],[36816, 36815])).
% 219.03/141.65 tff(36818,plain,
% 219.03/141.65 (v124(constB25, 1) <=> b101(1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36817, 36809])).
% 219.03/141.65 tff(36819,plain,
% 219.03/141.65 ((~(v124(constB25, 1) <=> b101(1))) | (~v124(constB25, 1)) | b101(1)),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36820,plain,
% 219.03/141.65 ((~(v124(constB25, 1) <=> b101(1))) | (~v124(constB25, 1))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36819, 2330])).
% 219.03/141.65 tff(36821,plain,
% 219.03/141.65 (~v124(constB25, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36820, 36818])).
% 219.03/141.65 tff(36822,plain,
% 219.03/141.65 ((~(v121(constB25, 1) <=> v124(constB25, 1))) | (~v121(constB25, 1)) | v124(constB25, 1)),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36823,plain,
% 219.03/141.65 ((~(v121(constB25, 1) <=> v124(constB25, 1))) | (~v121(constB25, 1))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36822, 36821])).
% 219.03/141.65 tff(36824,plain,
% 219.03/141.65 (~v121(constB25, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36823, 36800])).
% 219.03/141.65 tff(36825,plain,
% 219.03/141.65 (v110(constB25) | v117(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36638, 36801])).
% 219.03/141.65 tff(36826,plain,
% 219.03/141.65 (v109(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36635, 36825, 30441])).
% 219.03/141.65 tff(36827,plain,
% 219.03/141.65 (v109(constB25) | v118(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36633, 36826])).
% 219.03/141.65 tff(36828,plain,
% 219.03/141.65 (v108(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36630, 36827, 30443])).
% 219.03/141.65 tff(36829,plain,
% 219.03/141.65 (v108(constB25) | v119(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36628, 36828])).
% 219.03/141.65 tff(36830,plain,
% 219.03/141.65 (v107(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36618, 36829])).
% 219.03/141.65 tff(36831,plain,
% 219.03/141.65 (~((~v107(constB25)) | (~v120(constB25)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36615, 36830])).
% 219.03/141.65 tff(36832,plain,
% 219.03/141.65 (v106(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36607, 36831])).
% 219.03/141.65 tff(36833,plain,
% 219.03/141.65 (v105(constB25) | v106(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36604, 36832])).
% 219.03/141.65 tff(36834,plain,
% 219.03/141.65 (v102(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36602, 36833])).
% 219.03/141.65 tff(36835,plain,
% 219.03/141.65 (v104(constB26)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36599, 36834])).
% 219.03/141.65 tff(36836,plain,
% 219.03/141.65 (~((~v95(constB26)) | (~v104(constB26)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36596, 36835])).
% 219.03/141.65 tff(36837,plain,
% 219.03/141.65 (v94(constB26)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36565, 36836])).
% 219.03/141.65 tff(36838,plain,
% 219.03/141.65 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36562, 36837])).
% 219.03/141.65 tff(36839,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 1) <=> v123(constB26, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 1) <=> v123(constB26, 1)))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36840,plain,
% 219.03/141.65 (($false | $false | (v84(constB26, 1) <=> v123(constB26, 1))) <=> (v84(constB26, 1) <=> v123(constB26, 1))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36841,plain,
% 219.03/141.65 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB26, 1) <=> v123(constB26, 1))) <=> ($false | $false | (v84(constB26, 1) <=> v123(constB26, 1)))),
% 219.03/141.65 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.65 tff(36842,plain,
% 219.03/141.65 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB26, 1) <=> v123(constB26, 1))) <=> (v84(constB26, 1) <=> v123(constB26, 1))),
% 219.03/141.65 inference(transitivity,[status(thm)],[36841, 36840])).
% 219.03/141.65 tff(36843,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB26, 1) <=> v123(constB26, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 1) <=> v123(constB26, 1)))),
% 219.03/141.65 inference(monotonicity,[status(thm)],[36842])).
% 219.03/141.65 tff(36844,plain,
% 219.03/141.65 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB26, 1) <=> v123(constB26, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 1) <=> v123(constB26, 1)))),
% 219.03/141.65 inference(transitivity,[status(thm)],[36843, 36839])).
% 219.03/141.65 tff(36845,plain,
% 219.03/141.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB26, 1) <=> v123(constB26, 1)))),
% 219.03/141.65 inference(quant_inst,[status(thm)],[])).
% 219.03/141.65 tff(36846,plain,
% 219.03/141.65 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 1) <=> v123(constB26, 1))),
% 219.03/141.65 inference(modus_ponens,[status(thm)],[36845, 36844])).
% 219.03/141.65 tff(36847,plain,
% 219.03/141.65 (v84(constB26, 1) <=> v123(constB26, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36846, 36838])).
% 219.03/141.65 tff(36848,assumption,(v84(constB26, 1)), introduced(assumption)).
% 219.03/141.65 tff(36849,plain,
% 219.03/141.65 ((~(v84(constB26, 1) <=> v123(constB26, 1))) | (~v84(constB26, 1)) | v123(constB26, 1)),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36850,plain,
% 219.03/141.65 ((~(v84(constB26, 1) <=> v123(constB26, 1))) | v123(constB26, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36849, 36848])).
% 219.03/141.65 tff(36851,plain,
% 219.03/141.65 (v123(constB26, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36850, 36847])).
% 219.03/141.65 tff(36852,plain,
% 219.03/141.65 ((~(v123(constB26, 1) <=> v121(constB25, 1))) | (~v123(constB26, 1)) | v121(constB25, 1)),
% 219.03/141.65 inference(tautology,[status(thm)],[])).
% 219.03/141.65 tff(36853,plain,
% 219.03/141.65 ((~(v123(constB26, 1) <=> v121(constB25, 1))) | v121(constB25, 1)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36852, 36851])).
% 219.03/141.65 tff(36854,plain,
% 219.03/141.65 ($false),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36853, 36824, 36791])).
% 219.03/141.65 tff(36855,plain,((~v117(constB25)) | (~v84(constB26, 1))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.65 tff(36856,plain,
% 219.03/141.65 (~v117(constB25)),
% 219.03/141.65 inference(unit_resolution,[status(thm)],[36855, 36725])).
% 219.03/141.65 tff(36857,plain,
% 219.03/141.65 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B))))),
% 219.03/141.65 inference(rewrite,[status(thm)],[])).
% 219.03/141.65 tff(36858,plain,
% 219.03/141.65 ((v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) <=> (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B))))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(36859,plain,
% 219.03/141.66 (^[B: $int] : rewrite(((v124(constB25, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B))))),
% 219.03/141.66 inference(bind,[status(th)],[])).
% 219.03/141.66 tff(36860,plain,
% 219.03/141.66 (![B: $int] : ((v124(constB25, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.03/141.66 inference(quant_intro,[status(thm)],[36859])).
% 219.03/141.66 tff(36861,plain,
% 219.03/141.66 ((v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ((v124(constB25, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B))))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[36860])).
% 219.03/141.66 tff(36862,plain,
% 219.03/141.66 ((v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ((v124(constB25, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B))))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36861, 36858])).
% 219.03/141.66 tff(36863,plain,
% 219.03/141.66 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ((v124(constB25, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[36862])).
% 219.03/141.66 tff(36864,plain,
% 219.03/141.66 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ((v124(constB25, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B))))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36863, 36857])).
% 219.03/141.66 tff(36865,plain,
% 219.03/141.66 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ((v124(constB25, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.03/141.66 inference(quant_inst,[status(thm)],[])).
% 219.03/141.66 tff(36866,plain,
% 219.03/141.66 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.03/141.66 inference(modus_ponens,[status(thm)],[36865, 36864])).
% 219.03/141.66 tff(36867,plain,
% 219.03/141.66 (v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36866, 1807, 36856, 36782])).
% 219.03/141.66 tff(36868,plain,
% 219.03/141.66 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36867, 36781, 36778, 36767, 36761])).
% 219.03/141.66 tff(36869,assumption,(~v124(constB25, 0)), introduced(assumption)).
% 219.03/141.66 tff(36870,plain,
% 219.03/141.66 ((~(v124(constB25, 0) <=> b001(0))) | v124(constB25, 0) | (~b001(0))),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(36871,plain,
% 219.03/141.66 (~(v124(constB25, 0) <=> b001(0))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36870, 1940, 36869])).
% 219.03/141.66 tff(36872,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))), introduced(assumption)).
% 219.03/141.66 tff(36873,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 0) <=> b001(0)))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(36874,plain,
% 219.03/141.66 (($false | $false | (v124(constB25, 0) <=> b001(0))) <=> (v124(constB25, 0) <=> b001(0))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(36875,plain,
% 219.03/141.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b001(0))) <=> ($false | $false | (v124(constB25, 0) <=> b001(0)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.66 tff(36876,plain,
% 219.03/141.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b001(0))) <=> (v124(constB25, 0) <=> b001(0))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36875, 36874])).
% 219.03/141.66 tff(36877,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 0) <=> b001(0)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[36876])).
% 219.03/141.66 tff(36878,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 0) <=> b001(0)))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36877, 36873])).
% 219.03/141.66 tff(36879,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b001(0)))),
% 219.03/141.66 inference(quant_inst,[status(thm)],[])).
% 219.03/141.66 tff(36880,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 0) <=> b001(0))),
% 219.03/141.66 inference(modus_ponens,[status(thm)],[36879, 36878])).
% 219.03/141.66 tff(36881,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36880, 36872, 36871])).
% 219.03/141.66 tff(36882,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | v124(constB25, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(36883,plain,
% 219.03/141.66 (v124(constB25, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36882, 36868])).
% 219.03/141.66 tff(36884,plain,
% 219.03/141.66 (v84(constB26, 0) <=> v84(constB25, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[30618, 36620])).
% 219.03/141.66 tff(36885,plain,
% 219.03/141.66 ((~(v84(constB26, 0) <=> v84(constB25, 0))) | v84(constB26, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[30628, 36757])).
% 219.03/141.66 tff(36886,plain,
% 219.03/141.66 (v84(constB26, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36885, 36884])).
% 219.03/141.66 tff(36887,plain,
% 219.03/141.66 ((v84(constB26, 0) <=> v123(constB26, 0)) | (~v84(constB26, 0)) | (~v123(constB26, 0))),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(36888,plain,
% 219.03/141.66 (~v123(constB26, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36887, 36886, 36543])).
% 219.03/141.66 tff(36889,plain,
% 219.03/141.66 ((~(v123(constB26, 0) <=> v121(constB25, 0))) | v123(constB26, 0) | (~v121(constB25, 0))),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(36890,plain,
% 219.03/141.66 (v123(constB26, 0) | (~v121(constB25, 0))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36889, 36539])).
% 219.03/141.66 tff(36891,plain,
% 219.03/141.66 (~v121(constB25, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36890, 36888])).
% 219.03/141.66 tff(36892,plain,
% 219.03/141.66 ((~(v121(constB25, 0) <=> v124(constB25, 0))) | v121(constB25, 0) | (~v124(constB25, 0))),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(36893,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36892, 36891, 36883, 36518])).
% 219.03/141.66 tff(36894,plain,(v84(constB26, 0) <=> v123(constB26, 0)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(36895,plain,
% 219.03/141.66 ((~(v84(constB26, 0) <=> v123(constB26, 0))) | (~v84(constB26, 0)) | v123(constB26, 0)),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(36896,plain,
% 219.03/141.66 ((~v84(constB26, 0)) | v123(constB26, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36895, 36894])).
% 219.03/141.66 tff(36897,plain,
% 219.03/141.66 (~v84(constB26, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36896, 36542])).
% 219.03/141.66 tff(36898,plain,
% 219.03/141.66 ((~(v84(constB27, 0) <=> v84(constB26, 0))) | (~v84(constB27, 0)) | v84(constB26, 0)),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(36899,plain,
% 219.03/141.66 ((~v84(constB27, 0)) | v84(constB26, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36898, 30641])).
% 219.03/141.66 tff(36900,plain,
% 219.03/141.66 (~v84(constB27, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36899, 36897])).
% 219.03/141.66 tff(36901,plain,
% 219.03/141.66 (v124(constB23, 2) <=> b011(2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36397, 36301])).
% 219.03/141.66 tff(36902,plain,
% 219.03/141.66 (~v124(constB23, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36400, 36901])).
% 219.03/141.66 tff(36903,plain,
% 219.03/141.66 (~v121(constB23, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36414, 36902])).
% 219.03/141.66 tff(36904,plain,
% 219.03/141.66 (~v123(constB24, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36428, 36903])).
% 219.03/141.66 tff(36905,plain,
% 219.03/141.66 (~v84(constB24, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36430, 36904, 36313])).
% 219.03/141.66 tff(36906,plain,
% 219.03/141.66 (~v84(constB25, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36436, 36905])).
% 219.03/141.66 tff(36907,plain,
% 219.03/141.66 (v124(constB23, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36338, 36301])).
% 219.03/141.66 tff(36908,plain,
% 219.03/141.66 (v121(constB23, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36359, 36907])).
% 219.03/141.66 tff(36909,plain,
% 219.03/141.66 (v123(constB24, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36380, 36908])).
% 219.03/141.66 tff(36910,plain,
% 219.03/141.66 (v84(constB24, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36382, 36279, 36909])).
% 219.03/141.66 tff(36911,plain,
% 219.03/141.66 (v84(constB25, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36387, 36910])).
% 219.03/141.66 tff(36912,plain,
% 219.03/141.66 (v124(constB23, 0) <=> b011(0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36446, 36301])).
% 219.03/141.66 tff(36913,plain,
% 219.03/141.66 (v124(constB23, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36449, 36912])).
% 219.03/141.66 tff(36914,plain,
% 219.03/141.66 (v121(constB23, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36463, 36913])).
% 219.03/141.66 tff(36915,plain,
% 219.03/141.66 (v123(constB24, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36477, 36914])).
% 219.03/141.66 tff(36916,plain,
% 219.03/141.66 (v84(constB24, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36479, 36915, 36291])).
% 219.03/141.66 tff(36917,plain,
% 219.03/141.66 (v84(constB25, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[30626, 36916])).
% 219.03/141.66 tff(36918,plain,
% 219.03/141.66 (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36482, 36917, 36911, 36906])).
% 219.03/141.66 tff(36919,plain,
% 219.03/141.66 ((~(v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))) | v116(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36322, 36918])).
% 219.03/141.66 tff(36920,plain,
% 219.03/141.66 (v116(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36919, 30431])).
% 219.03/141.66 tff(36921,plain,
% 219.03/141.66 (v111(constB25) | v116(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36777, 36920])).
% 219.03/141.66 tff(36922,plain,
% 219.03/141.66 ((~(v110(constB25) <=> (v111(constB25) | v116(constB25)))) | v110(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36647, 36921])).
% 219.03/141.66 tff(36923,plain,
% 219.03/141.66 (v110(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36922, 30107])).
% 219.03/141.66 tff(36924,plain,
% 219.03/141.66 (v110(constB25) | v117(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36645, 36923])).
% 219.03/141.66 tff(36925,plain,
% 219.03/141.66 (v109(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36635, 36924, 30441])).
% 219.03/141.66 tff(36926,plain,
% 219.03/141.66 (v109(constB25) | v118(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36633, 36925])).
% 219.03/141.66 tff(36927,plain,
% 219.03/141.66 (v108(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36630, 36926, 30443])).
% 219.03/141.66 tff(36928,plain,
% 219.03/141.66 (v108(constB25) | v119(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36628, 36927])).
% 219.03/141.66 tff(36929,plain,
% 219.03/141.66 (v107(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36618, 36928])).
% 219.03/141.66 tff(36930,plain,
% 219.03/141.66 (~((~v107(constB25)) | (~v120(constB25)))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36615, 36929])).
% 219.03/141.66 tff(36931,plain,
% 219.03/141.66 (v106(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36607, 36930])).
% 219.03/141.66 tff(36932,plain,
% 219.03/141.66 (v105(constB25) | v106(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36604, 36931])).
% 219.03/141.66 tff(36933,plain,
% 219.03/141.66 (v102(constB25)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36602, 36932])).
% 219.03/141.66 tff(36934,plain,
% 219.03/141.66 (v104(constB26)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36599, 36933])).
% 219.03/141.66 tff(36935,plain,
% 219.03/141.66 (~((~v95(constB26)) | (~v104(constB26)))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36596, 36934])).
% 219.03/141.66 tff(36936,plain,
% 219.03/141.66 (v94(constB26)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36565, 36935])).
% 219.03/141.66 tff(36937,plain,
% 219.03/141.66 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36562, 36936])).
% 219.03/141.66 tff(36938,assumption,(~(v84(constB26, 2) <=> v123(constB26, 2))), introduced(assumption)).
% 219.03/141.66 tff(36939,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 2) <=> v123(constB26, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 2) <=> v123(constB26, 2)))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(36940,plain,
% 219.03/141.66 (($false | $false | (v84(constB26, 2) <=> v123(constB26, 2))) <=> (v84(constB26, 2) <=> v123(constB26, 2))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(36941,plain,
% 219.03/141.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB26, 2) <=> v123(constB26, 2))) <=> ($false | $false | (v84(constB26, 2) <=> v123(constB26, 2)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.66 tff(36942,plain,
% 219.03/141.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB26, 2) <=> v123(constB26, 2))) <=> (v84(constB26, 2) <=> v123(constB26, 2))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36941, 36940])).
% 219.03/141.66 tff(36943,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB26, 2) <=> v123(constB26, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 2) <=> v123(constB26, 2)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[36942])).
% 219.03/141.66 tff(36944,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB26, 2) <=> v123(constB26, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 2) <=> v123(constB26, 2)))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36943, 36939])).
% 219.03/141.66 tff(36945,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v84(constB26, 2) <=> v123(constB26, 2)))),
% 219.03/141.66 inference(quant_inst,[status(thm)],[])).
% 219.03/141.66 tff(36946,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))) | (v84(constB26, 2) <=> v123(constB26, 2))),
% 219.03/141.66 inference(modus_ponens,[status(thm)],[36945, 36944])).
% 219.03/141.66 tff(36947,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36946, 36544, 36938])).
% 219.03/141.66 tff(36948,plain,((v84(constB26, 2) <=> v123(constB26, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(36949,plain,
% 219.03/141.66 (v84(constB26, 2) <=> v123(constB26, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36948, 36937])).
% 219.03/141.66 tff(36950,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 2) <=> b100(2)))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(36951,plain,
% 219.03/141.66 (($false | $false | (v124(constB25, 2) <=> b100(2))) <=> (v124(constB25, 2) <=> b100(2))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(36952,plain,
% 219.03/141.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b100(2))) <=> ($false | $false | (v124(constB25, 2) <=> b100(2)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.66 tff(36953,plain,
% 219.03/141.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b100(2))) <=> (v124(constB25, 2) <=> b100(2))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36952, 36951])).
% 219.03/141.66 tff(36954,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 2) <=> b100(2)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[36953])).
% 219.03/141.66 tff(36955,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 2) <=> b100(2)))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36954, 36950])).
% 219.03/141.66 tff(36956,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b100(2)))),
% 219.03/141.66 inference(quant_inst,[status(thm)],[])).
% 219.03/141.66 tff(36957,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 2) <=> b100(2))),
% 219.03/141.66 inference(modus_ponens,[status(thm)],[36956, 36955])).
% 219.03/141.66 tff(36958,plain,
% 219.03/141.66 (v124(constB25, 2) <=> b100(2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36957, 36485])).
% 219.03/141.66 tff(36959,plain,
% 219.03/141.66 ((~(v124(constB25, 2) <=> b100(2))) | v124(constB25, 2) | (~b100(2))),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(36960,plain,
% 219.03/141.66 ((~(v124(constB25, 2) <=> b100(2))) | v124(constB25, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36959, 2250])).
% 219.03/141.66 tff(36961,plain,
% 219.03/141.66 (v124(constB25, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36960, 36958])).
% 219.03/141.66 tff(36962,assumption,(~(v121(constB25, 2) <=> v124(constB25, 2))), introduced(assumption)).
% 219.03/141.66 tff(36963,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 2) <=> v124(constB25, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 2) <=> v124(constB25, 2)))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(36964,plain,
% 219.03/141.66 (($false | $false | (v121(constB25, 2) <=> v124(constB25, 2))) <=> (v121(constB25, 2) <=> v124(constB25, 2))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(36965,plain,
% 219.03/141.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB25, 2) <=> v124(constB25, 2))) <=> ($false | $false | (v121(constB25, 2) <=> v124(constB25, 2)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.66 tff(36966,plain,
% 219.03/141.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB25, 2) <=> v124(constB25, 2))) <=> (v121(constB25, 2) <=> v124(constB25, 2))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36965, 36964])).
% 219.03/141.66 tff(36967,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB25, 2) <=> v124(constB25, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 2) <=> v124(constB25, 2)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[36966])).
% 219.03/141.66 tff(36968,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB25, 2) <=> v124(constB25, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 2) <=> v124(constB25, 2)))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36967, 36963])).
% 219.03/141.66 tff(36969,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v121(constB25, 2) <=> v124(constB25, 2)))),
% 219.03/141.66 inference(quant_inst,[status(thm)],[])).
% 219.03/141.66 tff(36970,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB25, B) <=> v124(constB25, B)))) | (v121(constB25, 2) <=> v124(constB25, 2))),
% 219.03/141.66 inference(modus_ponens,[status(thm)],[36969, 36968])).
% 219.03/141.66 tff(36971,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36970, 36508, 36962])).
% 219.03/141.66 tff(36972,plain,(v121(constB25, 2) <=> v124(constB25, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(36973,plain,
% 219.03/141.66 ((~(v121(constB25, 2) <=> v124(constB25, 2))) | v121(constB25, 2) | (~v124(constB25, 2))),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(36974,plain,
% 219.03/141.66 (v121(constB25, 2) | (~v124(constB25, 2))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36973, 36972])).
% 219.03/141.66 tff(36975,plain,
% 219.03/141.66 (v121(constB25, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36974, 36961])).
% 219.03/141.66 tff(36976,assumption,(~(v123(constB26, 2) <=> v121(constB25, 2))), introduced(assumption)).
% 219.03/141.66 tff(36977,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 2) <=> v121(constB25, 2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 2) <=> v121(constB25, 2)))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(36978,plain,
% 219.03/141.66 (($false | $false | (v123(constB26, 2) <=> v121(constB25, 2))) <=> (v123(constB26, 2) <=> v121(constB25, 2))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(36979,plain,
% 219.03/141.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB26, 2) <=> v121(constB25, 2))) <=> ($false | $false | (v123(constB26, 2) <=> v121(constB25, 2)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[534, 533])).
% 219.03/141.66 tff(36980,plain,
% 219.03/141.66 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB26, 2) <=> v121(constB25, 2))) <=> (v123(constB26, 2) <=> v121(constB25, 2))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36979, 36978])).
% 219.03/141.66 tff(36981,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB26, 2) <=> v121(constB25, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 2) <=> v121(constB25, 2)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[36980])).
% 219.03/141.66 tff(36982,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB26, 2) <=> v121(constB25, 2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 2) <=> v121(constB25, 2)))),
% 219.03/141.66 inference(transitivity,[status(thm)],[36981, 36977])).
% 219.03/141.66 tff(36983,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v123(constB26, 2) <=> v121(constB25, 2)))),
% 219.03/141.66 inference(quant_inst,[status(thm)],[])).
% 219.03/141.66 tff(36984,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB26, B) <=> v121(constB25, B)))) | (v123(constB26, 2) <=> v121(constB25, 2))),
% 219.03/141.66 inference(modus_ponens,[status(thm)],[36983, 36982])).
% 219.03/141.66 tff(36985,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36984, 36529, 36976])).
% 219.03/141.66 tff(36986,plain,(v123(constB26, 2) <=> v121(constB25, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(36987,plain,
% 219.03/141.66 ((~(v123(constB26, 2) <=> v121(constB25, 2))) | v123(constB26, 2) | (~v121(constB25, 2))),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(36988,plain,
% 219.03/141.66 (v123(constB26, 2) | (~v121(constB25, 2))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36987, 36986])).
% 219.03/141.66 tff(36989,plain,
% 219.03/141.66 (v123(constB26, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36988, 36975])).
% 219.03/141.66 tff(36990,plain,
% 219.03/141.66 ((~(v84(constB26, 2) <=> v123(constB26, 2))) | v84(constB26, 2) | (~v123(constB26, 2))),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(36991,plain,
% 219.03/141.66 (v84(constB26, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36990, 36989, 36949])).
% 219.03/141.66 tff(36992,assumption,(~(v84(constB27, 2) <=> v84(constB26, 2))), introduced(assumption)).
% 219.03/141.66 tff(36993,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[30743, 30595, 36992])).
% 219.03/141.66 tff(36994,plain,(v84(constB27, 2) <=> v84(constB26, 2)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(36995,plain,
% 219.03/141.66 (v84(constB27, 2) | (~v84(constB26, 2))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[30762, 36994])).
% 219.03/141.66 tff(36996,plain,
% 219.03/141.66 (v84(constB27, 2)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36995, 36991])).
% 219.03/141.66 tff(36997,assumption,(~(v84(constB26, 1) <=> v123(constB26, 1))), introduced(assumption)).
% 219.03/141.66 tff(36998,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36846, 36544, 36997])).
% 219.03/141.66 tff(36999,plain,((v84(constB26, 1) <=> v123(constB26, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(37000,plain,
% 219.03/141.66 (v84(constB26, 1) <=> v123(constB26, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36999, 36937])).
% 219.03/141.66 tff(37001,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 1) <=> b100(1)))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(37002,plain,
% 219.03/141.66 (($false | $false | (v124(constB25, 1) <=> b100(1))) <=> (v124(constB25, 1) <=> b100(1))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(37003,plain,
% 219.03/141.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b100(1))) <=> ($false | $false | (v124(constB25, 1) <=> b100(1)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[402, 401])).
% 219.03/141.66 tff(37004,plain,
% 219.03/141.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b100(1))) <=> (v124(constB25, 1) <=> b100(1))),
% 219.03/141.66 inference(transitivity,[status(thm)],[37003, 37002])).
% 219.03/141.66 tff(37005,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 1) <=> b100(1)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[37004])).
% 219.03/141.66 tff(37006,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 1) <=> b100(1)))),
% 219.03/141.66 inference(transitivity,[status(thm)],[37005, 37001])).
% 219.03/141.66 tff(37007,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b100(1)))),
% 219.03/141.66 inference(quant_inst,[status(thm)],[])).
% 219.03/141.66 tff(37008,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b100(B)))) | (v124(constB25, 1) <=> b100(1))),
% 219.03/141.66 inference(modus_ponens,[status(thm)],[37007, 37006])).
% 219.03/141.66 tff(37009,plain,
% 219.03/141.66 (v124(constB25, 1) <=> b100(1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37008, 36485])).
% 219.03/141.66 tff(37010,plain,
% 219.03/141.66 ((~(v124(constB25, 1) <=> b100(1))) | (~v124(constB25, 1)) | b100(1)),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(37011,plain,
% 219.03/141.66 ((~(v124(constB25, 1) <=> b100(1))) | (~v124(constB25, 1))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37010, 2274])).
% 219.03/141.66 tff(37012,plain,
% 219.03/141.66 (~v124(constB25, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37011, 37009])).
% 219.03/141.66 tff(37013,assumption,(~(v121(constB25, 1) <=> v124(constB25, 1))), introduced(assumption)).
% 219.03/141.66 tff(37014,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36799, 36508, 37013])).
% 219.03/141.66 tff(37015,plain,(v121(constB25, 1) <=> v124(constB25, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(37016,plain,
% 219.03/141.66 ((~v121(constB25, 1)) | v124(constB25, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36822, 37015])).
% 219.03/141.66 tff(37017,plain,
% 219.03/141.66 (~v121(constB25, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37016, 37012])).
% 219.03/141.66 tff(37018,assumption,(~(v123(constB26, 1) <=> v121(constB25, 1))), introduced(assumption)).
% 219.03/141.66 tff(37019,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36790, 36529, 37018])).
% 219.03/141.66 tff(37020,plain,(v123(constB26, 1) <=> v121(constB25, 1)), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(37021,plain,
% 219.03/141.66 ((~v123(constB26, 1)) | v121(constB25, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36852, 37020])).
% 219.03/141.66 tff(37022,plain,
% 219.03/141.66 (~v123(constB26, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37021, 37017])).
% 219.03/141.66 tff(37023,plain,
% 219.03/141.66 (~v84(constB26, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[36849, 37022, 37000])).
% 219.03/141.66 tff(37024,plain,
% 219.03/141.66 ((~(v84(constB27, 1) <=> v84(constB26, 1))) | (~v84(constB27, 1)) | v84(constB26, 1)),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(37025,plain,
% 219.03/141.66 ((~v84(constB27, 1)) | v84(constB26, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37024, 30605])).
% 219.03/141.66 tff(37026,plain,
% 219.03/141.66 (~v84(constB27, 1)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37025, 37023])).
% 219.03/141.66 tff(37027,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[31000, 37026, 36996, 35259, 36900])).
% 219.03/141.66 tff(37028,plain,((~v115(constB23)) | (~(v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(37029,plain,
% 219.03/141.66 (~v115(constB23)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37028, 36184])).
% 219.03/141.66 tff(37030,assumption,(~(v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))))), introduced(assumption)).
% 219.03/141.66 tff(37031,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[29940, 622, 37030])).
% 219.03/141.66 tff(37032,plain,(v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(37033,plain,
% 219.03/141.66 ((~(v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))))) | v115(constB23) | ((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(37034,plain,
% 219.03/141.66 (v115(constB23) | ((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37033, 37032])).
% 219.03/141.66 tff(37035,plain,
% 219.03/141.66 ((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37034, 37029])).
% 219.03/141.66 tff(37036,plain,
% 219.03/141.66 (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35563, 34845])).
% 219.03/141.66 tff(37037,assumption,(v116(constB27)), introduced(assumption)).
% 219.03/141.66 tff(37038,plain,
% 219.03/141.66 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35402, 2230, 37037])).
% 219.03/141.66 tff(37039,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 0) <=> b100(0)))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(37040,plain,
% 219.03/141.66 (($false | $false | (v124(constB27, 0) <=> b100(0))) <=> (v124(constB27, 0) <=> b100(0))),
% 219.03/141.66 inference(rewrite,[status(thm)],[])).
% 219.03/141.66 tff(37041,plain,
% 219.03/141.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b100(0))) <=> ($false | $false | (v124(constB27, 0) <=> b100(0)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[250, 249])).
% 219.03/141.66 tff(37042,plain,
% 219.03/141.66 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b100(0))) <=> (v124(constB27, 0) <=> b100(0))),
% 219.03/141.66 inference(transitivity,[status(thm)],[37041, 37040])).
% 219.03/141.66 tff(37043,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 0) <=> b100(0)))),
% 219.03/141.66 inference(monotonicity,[status(thm)],[37042])).
% 219.03/141.66 tff(37044,plain,
% 219.03/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 0) <=> b100(0)))),
% 219.03/141.66 inference(transitivity,[status(thm)],[37043, 37039])).
% 219.03/141.66 tff(37045,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b100(0)))),
% 219.03/141.66 inference(quant_inst,[status(thm)],[])).
% 219.03/141.66 tff(37046,plain,
% 219.03/141.66 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 0) <=> b100(0))),
% 219.03/141.66 inference(modus_ponens,[status(thm)],[37045, 37044])).
% 219.03/141.66 tff(37047,plain,
% 219.03/141.66 (v124(constB27, 0) <=> b100(0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37046, 37038])).
% 219.03/141.66 tff(37048,plain,
% 219.03/141.66 ((~(v124(constB27, 0) <=> b100(0))) | (~v124(constB27, 0)) | b100(0)),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(37049,plain,
% 219.03/141.66 ((~(v124(constB27, 0) <=> b100(0))) | (~v124(constB27, 0))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37048, 3674])).
% 219.03/141.66 tff(37050,plain,
% 219.03/141.66 (~v124(constB27, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37049, 37047])).
% 219.03/141.66 tff(37051,plain,
% 219.03/141.66 ((~(v121(constB27, 0) <=> v124(constB27, 0))) | (~v121(constB27, 0)) | v124(constB27, 0)),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(37052,plain,
% 219.03/141.66 ((~(v121(constB27, 0) <=> v124(constB27, 0))) | (~v121(constB27, 0))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37051, 37050])).
% 219.03/141.66 tff(37053,plain,
% 219.03/141.66 (~v121(constB27, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37052, 35012])).
% 219.03/141.66 tff(37054,plain,
% 219.03/141.66 ((v111(constB27) | v116(constB27)) | (~v116(constB27))),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(37055,plain,
% 219.03/141.66 (v111(constB27) | v116(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37054, 37037])).
% 219.03/141.66 tff(37056,plain,
% 219.03/141.66 ((~(v110(constB27) <=> (v111(constB27) | v116(constB27)))) | v110(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35032, 37055])).
% 219.03/141.66 tff(37057,plain,
% 219.03/141.66 (v110(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37056, 30681])).
% 219.03/141.66 tff(37058,plain,
% 219.03/141.66 (v110(constB27) | v117(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35041, 37057])).
% 219.03/141.66 tff(37059,plain,
% 219.03/141.66 (v109(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35043, 37058])).
% 219.03/141.66 tff(37060,plain,
% 219.03/141.66 (v109(constB27) | v118(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[31027, 37059])).
% 219.03/141.66 tff(37061,plain,
% 219.03/141.66 (v108(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35046, 37060])).
% 219.03/141.66 tff(37062,plain,
% 219.03/141.66 (v108(constB27) | v119(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[31022, 37061])).
% 219.03/141.66 tff(37063,assumption,(~(v107(constB27) <=> (v108(constB27) | v119(constB27)))), introduced(assumption)).
% 219.03/141.66 tff(37064,plain,
% 219.03/141.66 ($false),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[30609, 187, 37063])).
% 219.03/141.66 tff(37065,plain,(v107(constB27) <=> (v108(constB27) | v119(constB27))), inference(lemma,lemma(discharge,[]))).
% 219.03/141.66 tff(37066,plain,
% 219.03/141.66 (v107(constB27) | (~(v108(constB27) | v119(constB27)))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[31019, 37065])).
% 219.03/141.66 tff(37067,plain,
% 219.03/141.66 (v107(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37066, 37062])).
% 219.03/141.66 tff(37068,plain,
% 219.03/141.66 (~((~v107(constB27)) | (~v120(constB27)))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[31017, 37067])).
% 219.03/141.66 tff(37069,plain,
% 219.03/141.66 (v106(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[31009, 37068])).
% 219.03/141.66 tff(37070,plain,
% 219.03/141.66 (v105(constB27) | v106(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35053, 37069])).
% 219.03/141.66 tff(37071,plain,
% 219.03/141.66 (v102(constB27)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35056, 37070])).
% 219.03/141.66 tff(37072,plain,
% 219.03/141.66 (v104(constB28)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35059, 37071])).
% 219.03/141.66 tff(37073,plain,
% 219.03/141.66 (~((~v95(constB28)) | (~v104(constB28)))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35090, 37072])).
% 219.03/141.66 tff(37074,plain,
% 219.03/141.66 (v94(constB28)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35093, 37073])).
% 219.03/141.66 tff(37075,plain,
% 219.03/141.66 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35101, 37074])).
% 219.03/141.66 tff(37076,plain,
% 219.03/141.66 (v84(constB28, 0) <=> v123(constB28, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[35110, 37075])).
% 219.03/141.66 tff(37077,assumption,(v84(constB28, 0)), introduced(assumption)).
% 219.03/141.66 tff(37078,plain,
% 219.03/141.66 ((~(v84(constB28, 0) <=> v123(constB28, 0))) | (~v84(constB28, 0)) | v123(constB28, 0)),
% 219.03/141.66 inference(tautology,[status(thm)],[])).
% 219.03/141.66 tff(37079,plain,
% 219.03/141.66 ((~(v84(constB28, 0) <=> v123(constB28, 0))) | v123(constB28, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37078, 37077])).
% 219.03/141.66 tff(37080,plain,
% 219.03/141.66 (v123(constB28, 0)),
% 219.03/141.66 inference(unit_resolution,[status(thm)],[37079, 37076])).
% 219.12/141.66 tff(37081,plain,
% 219.12/141.66 ((~(v123(constB28, 0) <=> v121(constB27, 0))) | (~v123(constB28, 0)) | v121(constB27, 0)),
% 219.12/141.66 inference(tautology,[status(thm)],[])).
% 219.12/141.66 tff(37082,plain,
% 219.12/141.66 ((~(v123(constB28, 0) <=> v121(constB27, 0))) | v121(constB27, 0)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37081, 37080])).
% 219.12/141.66 tff(37083,plain,
% 219.12/141.66 ($false),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37082, 37053, 35021])).
% 219.12/141.66 tff(37084,plain,((~v116(constB27)) | (~v84(constB28, 0))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.66 tff(37085,plain,
% 219.12/141.66 (~v84(constB28, 0)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37084, 37037])).
% 219.12/141.66 tff(37086,plain,
% 219.12/141.66 ((~(v84(constB29, 0) <=> v84(constB28, 0))) | (~v84(constB29, 0)) | v84(constB28, 0)),
% 219.12/141.66 inference(tautology,[status(thm)],[])).
% 219.12/141.66 tff(37087,plain,
% 219.12/141.66 ((~v84(constB29, 0)) | v84(constB28, 0)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37086, 34964])).
% 219.12/141.66 tff(37088,plain,
% 219.12/141.66 (~v84(constB29, 0)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37087, 37085])).
% 219.12/141.66 tff(37089,plain,
% 219.12/141.66 ((v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))) | v84(constB29, 0)),
% 219.12/141.66 inference(tautology,[status(thm)],[])).
% 219.12/141.66 tff(37090,plain,
% 219.12/141.66 (v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37089, 37088])).
% 219.12/141.66 tff(37091,plain,
% 219.12/141.66 ((v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))) | v84(constB29, 0)),
% 219.12/141.66 inference(tautology,[status(thm)],[])).
% 219.12/141.66 tff(37092,plain,
% 219.12/141.66 (v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37091, 37088])).
% 219.12/141.66 tff(37093,plain,
% 219.12/141.66 (v108(constB29) | v119(constB29)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35416, 37088])).
% 219.12/141.66 tff(37094,plain,
% 219.12/141.66 (v107(constB29)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35459, 37093])).
% 219.12/141.66 tff(37095,plain,
% 219.12/141.66 (~((~v107(constB29)) | (~v120(constB29)))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35467, 37094])).
% 219.12/141.66 tff(37096,plain,
% 219.12/141.66 (v106(constB29)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35470, 37095])).
% 219.12/141.66 tff(37097,plain,
% 219.12/141.66 (v105(constB29) | v106(constB29)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35472, 37096])).
% 219.12/141.66 tff(37098,plain,
% 219.12/141.66 (v102(constB29)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35475, 37097])).
% 219.12/141.66 tff(37099,plain,
% 219.12/141.66 (v104(constB30)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35478, 37098])).
% 219.12/141.66 tff(37100,plain,
% 219.12/141.66 (~((~v95(constB30)) | (~v104(constB30)))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35509, 37099])).
% 219.12/141.66 tff(37101,plain,
% 219.12/141.66 (v94(constB30)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35512, 37100])).
% 219.12/141.66 tff(37102,plain,
% 219.12/141.66 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35520, 37101])).
% 219.12/141.66 tff(37103,plain,
% 219.12/141.66 (v84(constB30, 1) <=> v123(constB30, 1)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35545, 37102])).
% 219.12/141.66 tff(37104,plain,
% 219.12/141.66 (v84(constB30, 0) <=> v123(constB30, 0)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35557, 37102])).
% 219.12/141.66 tff(37105,plain,
% 219.12/141.66 (~v117(constB29)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35748, 37104, 31392, 37103])).
% 219.12/141.66 tff(37106,plain,
% 219.12/141.66 (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35753, 37105])).
% 219.12/141.66 tff(37107,plain,
% 219.12/141.66 (v84(constB29, 1)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35996, 37106, 37092, 37090])).
% 219.12/141.66 tff(37108,plain,
% 219.12/141.66 (v84(constB28, 1)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[36140, 37107])).
% 219.12/141.66 tff(37109,plain,
% 219.12/141.66 ((v108(constB27) | v119(constB27)) | (~v119(constB27))),
% 219.12/141.66 inference(tautology,[status(thm)],[])).
% 219.12/141.66 tff(37110,plain,
% 219.12/141.66 (~v119(constB27)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37109, 35156])).
% 219.12/141.66 tff(37111,plain,
% 219.12/141.66 ((~(v119(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2)))))) | v119(constB27) | ((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2)))),
% 219.12/141.66 inference(tautology,[status(thm)],[])).
% 219.12/141.66 tff(37112,plain,
% 219.12/141.66 (v119(constB27) | ((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2)))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37111, 30655])).
% 219.12/141.66 tff(37113,plain,
% 219.12/141.66 ((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37112, 37110])).
% 219.12/141.66 tff(37114,plain,
% 219.12/141.66 (v84(constB27, 1)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[36146, 35166, 36142])).
% 219.12/141.66 tff(37115,plain,
% 219.12/141.66 (~v110(constB27)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35041, 35160])).
% 219.12/141.66 tff(37116,plain,
% 219.12/141.66 (~(v111(constB27) | v116(constB27))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35032, 37115, 30681])).
% 219.12/141.66 tff(37117,plain,
% 219.12/141.66 (~v111(constB27)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35035, 37116])).
% 219.12/141.66 tff(37118,plain,
% 219.12/141.66 (~(v112(constB27) | v115(constB27))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35037, 37117, 30683])).
% 219.12/141.66 tff(37119,plain,
% 219.12/141.66 ((v112(constB27) | v115(constB27)) | (~v115(constB27))),
% 219.12/141.66 inference(tautology,[status(thm)],[])).
% 219.12/141.66 tff(37120,plain,
% 219.12/141.66 (~v115(constB27)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37119, 37118])).
% 219.12/141.66 tff(37121,plain,
% 219.12/141.66 ((~(v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))))) | v115(constB27) | ((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))),
% 219.12/141.66 inference(tautology,[status(thm)],[])).
% 219.12/141.66 tff(37122,plain,
% 219.12/141.66 ((~(v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))))) | ((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37121, 37120])).
% 219.12/141.66 tff(37123,plain,
% 219.12/141.66 ((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37122, 30718])).
% 219.12/141.66 tff(37124,plain,
% 219.12/141.66 (v84(constB28, 0) <=> v84(constB27, 0)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[30927, 35165])).
% 219.12/141.66 tff(37125,plain,
% 219.12/141.66 (~v84(constB27, 0)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[30994, 37124])).
% 219.12/141.66 tff(37126,assumption,((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)), introduced(assumption)).
% 219.12/141.66 tff(37127,assumption,((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))), introduced(assumption)).
% 219.12/141.66 tff(37128,assumption,(v84(constB27, 1)), introduced(assumption)).
% 219.12/141.66 tff(37129,plain,
% 219.12/141.66 ((~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2)))) | (~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))),
% 219.12/141.66 inference(tautology,[status(thm)],[])).
% 219.12/141.66 tff(37130,plain,
% 219.12/141.66 (~v84(constB27, 2)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37129, 35260, 37128, 37127])).
% 219.12/141.66 tff(37131,plain,
% 219.12/141.66 ((~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))) | (~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)),
% 219.12/141.66 inference(tautology,[status(thm)],[])).
% 219.12/141.66 tff(37132,plain,
% 219.12/141.66 ((~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))) | v84(constB27, 0) | v84(constB27, 2)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37131, 37128])).
% 219.12/141.66 tff(37133,plain,
% 219.12/141.66 ($false),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37132, 37130, 35260, 37126])).
% 219.12/141.66 tff(37134,plain,(v84(constB27, 0) | (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))) | (~v84(constB27, 1)) | (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.66 tff(37135,plain,
% 219.12/141.66 ($false),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37134, 37125, 37123, 37114, 37113])).
% 219.12/141.66 tff(37136,plain,(v102(constB27) | v84(constB28, 0) | (~v84(constB28, 1))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.66 tff(37137,plain,
% 219.12/141.66 (v102(constB27)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37136, 37108, 37085])).
% 219.12/141.66 tff(37138,plain,
% 219.12/141.66 (v104(constB28)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35059, 37137])).
% 219.12/141.66 tff(37139,plain,
% 219.12/141.66 (~((~v95(constB28)) | (~v104(constB28)))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35090, 37138])).
% 219.12/141.66 tff(37140,plain,
% 219.12/141.66 (v94(constB28)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35093, 37139])).
% 219.12/141.66 tff(37141,plain,
% 219.12/141.66 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[35101, 37140])).
% 219.12/141.66 tff(37142,plain,
% 219.12/141.66 (v84(constB28, 1) <=> v123(constB28, 1)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[36154, 37141])).
% 219.12/141.66 tff(37143,plain,
% 219.12/141.66 (v123(constB28, 1)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[36156, 37142, 37108])).
% 219.12/141.66 tff(37144,plain,
% 219.12/141.66 (v121(constB27, 1)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[36162, 37143])).
% 219.12/141.66 tff(37145,plain,
% 219.12/141.66 (v124(constB27, 1)),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[36168, 37144])).
% 219.12/141.66 tff(37146,plain,
% 219.12/141.66 ((~(v124(constB27, 1) <=> b100(1))) | (~v124(constB27, 1)) | b100(1)),
% 219.12/141.66 inference(tautology,[status(thm)],[])).
% 219.12/141.66 tff(37147,plain,
% 219.12/141.66 (~(v124(constB27, 1) <=> b100(1))),
% 219.12/141.66 inference(unit_resolution,[status(thm)],[37146, 2274, 37145])).
% 219.12/141.66 tff(37148,plain,
% 219.12/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 1) <=> b100(1)))),
% 219.12/141.66 inference(rewrite,[status(thm)],[])).
% 219.12/141.66 tff(37149,plain,
% 219.12/141.66 (($false | $false | (v124(constB27, 1) <=> b100(1))) <=> (v124(constB27, 1) <=> b100(1))),
% 219.12/141.66 inference(rewrite,[status(thm)],[])).
% 219.12/141.66 tff(37150,plain,
% 219.12/141.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b100(1))) <=> ($false | $false | (v124(constB27, 1) <=> b100(1)))),
% 219.12/141.66 inference(monotonicity,[status(thm)],[402, 401])).
% 219.12/141.66 tff(37151,plain,
% 219.12/141.66 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b100(1))) <=> (v124(constB27, 1) <=> b100(1))),
% 219.12/141.66 inference(transitivity,[status(thm)],[37150, 37149])).
% 219.12/141.66 tff(37152,plain,
% 219.12/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 1) <=> b100(1)))),
% 219.12/141.66 inference(monotonicity,[status(thm)],[37151])).
% 219.12/141.66 tff(37153,plain,
% 219.12/141.66 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 1) <=> b100(1)))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37152, 37148])).
% 219.12/141.67 tff(37154,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b100(1)))),
% 219.12/141.67 inference(quant_inst,[status(thm)],[])).
% 219.12/141.67 tff(37155,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b100(B)))) | (v124(constB27, 1) <=> b100(1))),
% 219.12/141.67 inference(modus_ponens,[status(thm)],[37154, 37153])).
% 219.12/141.67 tff(37156,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37155, 37038, 37147])).
% 219.12/141.67 tff(37157,plain,((~v116(constB27)) | (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37158,plain,
% 219.12/141.67 (~v116(constB27)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37157, 37036])).
% 219.12/141.67 tff(37159,plain,
% 219.12/141.67 ((v84(constB32, 1) | v84(constB32, 2) | (~v84(constB32, 0))) | (~v84(constB32, 2))),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37160,plain,
% 219.12/141.67 (v84(constB32, 1) | v84(constB32, 2) | (~v84(constB32, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37159, 34906])).
% 219.12/141.67 tff(37161,plain,
% 219.12/141.67 (~v84(constB33, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31530, 34898])).
% 219.12/141.67 tff(37162,assumption,(~(v84(constB33, 1) <=> v84(constB32, 1))), introduced(assumption)).
% 219.12/141.67 tff(37163,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31510, 31484, 37162])).
% 219.12/141.67 tff(37164,plain,(v84(constB33, 1) <=> v84(constB32, 1)), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37165,plain,
% 219.12/141.67 (v84(constB33, 1) | (~v84(constB32, 1))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31527, 37164])).
% 219.12/141.67 tff(37166,plain,
% 219.12/141.67 (~v84(constB32, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37165, 37161])).
% 219.12/141.67 tff(37167,plain,
% 219.12/141.67 (((~v84(constB32, 1)) | v84(constB32, 2) | (~v84(constB32, 0))) | v84(constB32, 1)),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37168,plain,
% 219.12/141.67 ((~v84(constB32, 1)) | v84(constB32, 2) | (~v84(constB32, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37167, 37166])).
% 219.12/141.67 tff(37169,assumption,(v84(constB32, 1) | v84(constB32, 2) | (~v84(constB32, 0))), introduced(assumption)).
% 219.12/141.67 tff(37170,plain,
% 219.12/141.67 (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35987, 35871])).
% 219.12/141.67 tff(37171,plain,
% 219.12/141.67 (~v84(constB32, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35869, 37170])).
% 219.12/141.67 tff(37172,plain,
% 219.12/141.67 (v115(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35760, 37170])).
% 219.12/141.67 tff(37173,plain,
% 219.12/141.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35771, 37172])).
% 219.12/141.67 tff(37174,assumption,(~v124(constB31, 0)), introduced(assumption)).
% 219.12/141.67 tff(37175,plain,
% 219.12/141.67 ((~(v124(constB31, 0) <=> b011(0))) | v124(constB31, 0) | (~b011(0))),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37176,plain,
% 219.12/141.67 (~(v124(constB31, 0) <=> b011(0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37175, 2025, 37174])).
% 219.12/141.67 tff(37177,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | (v124(constB31, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | (v124(constB31, 0) <=> b011(0)))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37178,plain,
% 219.12/141.67 (($false | $false | (v124(constB31, 0) <=> b011(0))) <=> (v124(constB31, 0) <=> b011(0))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37179,plain,
% 219.12/141.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b011(0))) <=> ($false | $false | (v124(constB31, 0) <=> b011(0)))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[250, 249])).
% 219.12/141.67 tff(37180,plain,
% 219.12/141.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b011(0))) <=> (v124(constB31, 0) <=> b011(0))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37179, 37178])).
% 219.12/141.67 tff(37181,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | (v124(constB31, 0) <=> b011(0)))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[37180])).
% 219.12/141.67 tff(37182,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | (v124(constB31, 0) <=> b011(0)))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37181, 37177])).
% 219.12/141.67 tff(37183,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b011(0)))),
% 219.12/141.67 inference(quant_inst,[status(thm)],[])).
% 219.12/141.67 tff(37184,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | (v124(constB31, 0) <=> b011(0))),
% 219.12/141.67 inference(modus_ponens,[status(thm)],[37183, 37182])).
% 219.12/141.67 tff(37185,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37184, 35776, 37176])).
% 219.12/141.67 tff(37186,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))) | v124(constB31, 0)), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37187,plain,
% 219.12/141.67 (v124(constB31, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37186, 37173])).
% 219.12/141.67 tff(37188,plain,
% 219.12/141.67 ((~(v121(constB31, 0) <=> v124(constB31, 0))) | v121(constB31, 0) | (~v124(constB31, 0))),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37189,plain,
% 219.12/141.67 (v121(constB31, 0) | (~v124(constB31, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37188, 34816])).
% 219.12/141.67 tff(37190,plain,
% 219.12/141.67 (v121(constB31, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37189, 37187])).
% 219.12/141.67 tff(37191,plain,
% 219.12/141.67 ((~(v123(constB32, 0) <=> v121(constB31, 0))) | v123(constB32, 0) | (~v121(constB31, 0))),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37192,plain,
% 219.12/141.67 (v123(constB32, 0) | (~v121(constB31, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37191, 34795])).
% 219.12/141.67 tff(37193,plain,
% 219.12/141.67 (v123(constB32, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37192, 37190])).
% 219.12/141.67 tff(37194,plain,
% 219.12/141.67 (v84(constB31, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[36036, 37170])).
% 219.12/141.67 tff(37195,plain,
% 219.12/141.67 (v84(constB30, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35697, 37194])).
% 219.12/141.67 tff(37196,plain,
% 219.12/141.67 ((v84(constB30, 1) <=> v123(constB30, 1)) | (~v84(constB30, 1)) | (~v123(constB30, 1))),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37197,plain,
% 219.12/141.67 (v84(constB30, 1) <=> v123(constB30, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37196, 35979, 37195])).
% 219.12/141.67 tff(37198,assumption,(~(v108(constB31) | v119(constB31))), introduced(assumption)).
% 219.12/141.67 tff(37199,plain,
% 219.12/141.67 ((~v107(constB31)) | (v108(constB31) | v119(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31279, 35863])).
% 219.12/141.67 tff(37200,plain,
% 219.12/141.67 (~v107(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37199, 37198])).
% 219.12/141.67 tff(37201,plain,
% 219.12/141.67 ((~v107(constB31)) | (~v120(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31281, 37200])).
% 219.12/141.67 tff(37202,plain,
% 219.12/141.67 (~v106(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31286, 37201])).
% 219.12/141.67 tff(37203,plain,
% 219.12/141.67 (~(v105(constB31) | v106(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31296, 37202])).
% 219.12/141.67 tff(37204,plain,
% 219.12/141.67 (~v102(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31301, 37203])).
% 219.12/141.67 tff(37205,plain,
% 219.12/141.67 (~v104(constB32)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31311, 37204])).
% 219.12/141.67 tff(37206,plain,
% 219.12/141.67 (v84(constB32, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31448, 37205])).
% 219.12/141.67 tff(37207,plain,
% 219.12/141.67 (v84(constB33, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31496, 37206])).
% 219.12/141.67 tff(37208,plain,
% 219.12/141.67 (v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31587, 37207])).
% 219.12/141.67 tff(37209,plain,
% 219.12/141.67 ((~v115(constB33)) | (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1))))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31589, 34670])).
% 219.12/141.67 tff(37210,plain,
% 219.12/141.67 (~v115(constB33)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37209, 37208])).
% 219.12/141.67 tff(37211,plain,
% 219.12/141.67 (v84(constB33, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31496, 34346])).
% 219.12/141.67 tff(37212,plain,
% 219.12/141.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34368, 31314, 34350])).
% 219.12/141.67 tff(37213,plain,
% 219.12/141.67 (~v124(constB33, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34751, 37212])).
% 219.12/141.67 tff(37214,plain,
% 219.12/141.67 (v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34162, 34427])).
% 219.12/141.67 tff(37215,plain,
% 219.12/141.67 (v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34146, 34471])).
% 219.12/141.67 tff(37216,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34203, 37215, 37214, 33964, 34197])).
% 219.12/141.67 tff(37217,plain,(v124(constB33, 1) | v84(constB33, 1) | (~v84(constB33, 0))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37218,plain,
% 219.12/141.67 (v84(constB33, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37217, 37213, 37211])).
% 219.12/141.67 tff(37219,assumption,(~(v124(constB33, 2) <=> b001(2))), introduced(assumption)).
% 219.12/141.67 tff(37220,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 2) <=> b001(2)))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37221,plain,
% 219.12/141.67 (($false | $false | (v124(constB33, 2) <=> b001(2))) <=> (v124(constB33, 2) <=> b001(2))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37222,plain,
% 219.12/141.67 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b001(2))) <=> ($false | $false | (v124(constB33, 2) <=> b001(2)))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[534, 533])).
% 219.12/141.67 tff(37223,plain,
% 219.12/141.67 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b001(2))) <=> (v124(constB33, 2) <=> b001(2))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37222, 37221])).
% 219.12/141.67 tff(37224,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 2) <=> b001(2)))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[37223])).
% 219.12/141.67 tff(37225,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 2) <=> b001(2)))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37224, 37220])).
% 219.12/141.67 tff(37226,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b001(2)))),
% 219.12/141.67 inference(quant_inst,[status(thm)],[])).
% 219.12/141.67 tff(37227,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))) | (v124(constB33, 2) <=> b001(2))),
% 219.12/141.67 inference(modus_ponens,[status(thm)],[37226, 37225])).
% 219.12/141.67 tff(37228,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37227, 33799, 37219])).
% 219.12/141.67 tff(37229,plain,((v124(constB33, 2) <=> b001(2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B))))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37230,plain,
% 219.12/141.67 (v124(constB33, 2) <=> b001(2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37229, 37212])).
% 219.12/141.67 tff(37231,plain,
% 219.12/141.67 ((~(v124(constB33, 2) <=> b001(2))) | (~v124(constB33, 2)) | b001(2)),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37232,plain,
% 219.12/141.67 ((~(v124(constB33, 2) <=> b001(2))) | (~v124(constB33, 2))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37231, 1831])).
% 219.12/141.67 tff(37233,plain,
% 219.12/141.67 (~v124(constB33, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37232, 37230])).
% 219.12/141.67 tff(37234,plain,
% 219.12/141.67 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[33723, 37233])).
% 219.12/141.67 tff(37235,plain,
% 219.12/141.67 (~v116(constB33)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34718, 37234])).
% 219.12/141.67 tff(37236,plain,
% 219.12/141.67 (v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34222, 37235])).
% 219.12/141.67 tff(37237,plain,
% 219.12/141.67 (v84(constB33, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34224, 37236, 37218, 37211])).
% 219.12/141.67 tff(37238,plain,
% 219.12/141.67 (v84(constB32, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34905, 37237])).
% 219.12/141.67 tff(37239,assumption,(~(v108(constB31) <=> (v109(constB31) | v118(constB31)))), introduced(assumption)).
% 219.12/141.67 tff(37240,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[29580, 428, 37239])).
% 219.12/141.67 tff(37241,plain,(v108(constB31) <=> (v109(constB31) | v118(constB31))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37242,plain,
% 219.12/141.67 (~(v108(constB31) | v119(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35864, 31333])).
% 219.12/141.67 tff(37243,plain,
% 219.12/141.67 (~v108(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31342, 37242])).
% 219.12/141.67 tff(37244,plain,
% 219.12/141.67 (~(v109(constB31) | v118(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31344, 37243, 37241])).
% 219.12/141.67 tff(37245,plain,
% 219.12/141.67 (~v118(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31367, 37244])).
% 219.12/141.67 tff(37246,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[36137, 37245, 37238, 34907])).
% 219.12/141.67 tff(37247,plain,(v104(constB32) | v84(constB29, 1) | v115(constB33)), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37248,plain,
% 219.12/141.67 (v84(constB29, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37247, 37210, 37205])).
% 219.12/141.67 tff(37249,plain,
% 219.12/141.67 (v121(constB29, 1) <=> v124(constB29, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35671, 35588])).
% 219.12/141.67 tff(37250,plain,
% 219.12/141.67 (v123(constB30, 1) <=> v121(constB29, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35685, 35572])).
% 219.12/141.67 tff(37251,plain,
% 219.12/141.67 (~v108(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31342, 37198])).
% 219.12/141.67 tff(37252,plain,
% 219.12/141.67 ((~(v108(constB31) <=> (v109(constB31) | v118(constB31)))) | (~(v109(constB31) | v118(constB31)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31344, 37251])).
% 219.12/141.67 tff(37253,plain,
% 219.12/141.67 (~(v109(constB31) | v118(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37252, 29581])).
% 219.12/141.67 tff(37254,plain,
% 219.12/141.67 (~v109(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31347, 37253])).
% 219.12/141.67 tff(37255,plain,
% 219.12/141.67 ((~(v109(constB31) <=> (v110(constB31) | v117(constB31)))) | (~(v110(constB31) | v117(constB31)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31349, 37254])).
% 219.12/141.67 tff(37256,plain,
% 219.12/141.67 (~(v110(constB31) | v117(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37255, 29583])).
% 219.12/141.67 tff(37257,plain,
% 219.12/141.67 (~v110(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31352, 37256])).
% 219.12/141.67 tff(37258,plain,
% 219.12/141.67 ((~(v110(constB31) <=> (v111(constB31) | v116(constB31)))) | (~(v111(constB31) | v116(constB31)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31354, 37257])).
% 219.12/141.67 tff(37259,plain,
% 219.12/141.67 (~(v111(constB31) | v116(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37258, 29585])).
% 219.12/141.67 tff(37260,plain,
% 219.12/141.67 (~v116(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34333, 37259])).
% 219.12/141.67 tff(37261,plain,
% 219.12/141.67 ((~(v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))))) | ((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34335, 37260])).
% 219.12/141.67 tff(37262,plain,
% 219.12/141.67 ((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37261, 31205])).
% 219.12/141.67 tff(37263,plain,
% 219.12/141.67 (~v111(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31357, 37259])).
% 219.12/141.67 tff(37264,plain,
% 219.12/141.67 ((~(v111(constB31) <=> (v112(constB31) | v115(constB31)))) | (~(v112(constB31) | v115(constB31)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31359, 37263])).
% 219.12/141.67 tff(37265,plain,
% 219.12/141.67 (~(v112(constB31) | v115(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37264, 29587])).
% 219.12/141.67 tff(37266,plain,
% 219.12/141.67 (~v112(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31372, 37265])).
% 219.12/141.67 tff(37267,plain,
% 219.12/141.67 ((~(v112(constB31) <=> (v113(constB31) | v114(constB31)))) | (~(v113(constB31) | v114(constB31)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31374, 37266])).
% 219.12/141.67 tff(37268,plain,
% 219.12/141.67 (~(v113(constB31) | v114(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37267, 29589])).
% 219.12/141.67 tff(37269,plain,
% 219.12/141.67 (~v113(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31387, 37268])).
% 219.12/141.67 tff(37270,plain,
% 219.12/141.67 (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35848, 37269])).
% 219.12/141.67 tff(37271,plain,
% 219.12/141.67 (~v118(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31367, 37253])).
% 219.12/141.67 tff(37272,plain,
% 219.12/141.67 ((~(v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))))) | (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31369, 37271])).
% 219.12/141.67 tff(37273,plain,
% 219.12/141.67 (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37272, 31258])).
% 219.12/141.67 tff(37274,plain,
% 219.12/141.67 (~v117(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31382, 37256])).
% 219.12/141.67 tff(37275,plain,
% 219.12/141.67 (v117(constB31) | (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31384, 36092])).
% 219.12/141.67 tff(37276,plain,
% 219.12/141.67 (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37275, 37274])).
% 219.12/141.67 tff(37277,plain,
% 219.12/141.67 (~v114(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31377, 37268])).
% 219.12/141.67 tff(37278,plain,
% 219.12/141.67 ((~(v114(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))))) | (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31379, 37277])).
% 219.12/141.67 tff(37279,plain,
% 219.12/141.67 (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37278, 29591])).
% 219.12/141.67 tff(37280,plain,
% 219.12/141.67 (v84(constB31, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31408, 37279, 37276, 37273, 37270])).
% 219.12/141.67 tff(37281,plain,
% 219.12/141.67 (~v119(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31337, 37198])).
% 219.12/141.67 tff(37282,plain,
% 219.12/141.67 ((~(v119(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))))) | (v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31339, 37281])).
% 219.12/141.67 tff(37283,plain,
% 219.12/141.67 (v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37282, 31270])).
% 219.12/141.67 tff(37284,plain,
% 219.12/141.67 (~v115(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31362, 37265])).
% 219.12/141.67 tff(37285,plain,
% 219.12/141.67 ((~(v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))))) | (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31364, 37284])).
% 219.12/141.67 tff(37286,plain,
% 219.12/141.67 (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37285, 31188])).
% 219.12/141.67 tff(37287,plain,
% 219.12/141.67 (v84(constB31, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31418, 37280, 37286, 37283])).
% 219.12/141.67 tff(37288,plain,
% 219.12/141.67 (v84(constB31, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34338, 37287, 37280, 37262])).
% 219.12/141.67 tff(37289,plain,
% 219.12/141.67 (v84(constB30, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35930, 37288])).
% 219.12/141.67 tff(37290,plain,
% 219.12/141.67 (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34948, 34926, 34939, 35428])).
% 219.12/141.67 tff(37291,plain,
% 219.12/141.67 (v115(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34952, 37290, 30910])).
% 219.12/141.67 tff(37292,plain,
% 219.12/141.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B))))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37293,plain,
% 219.12/141.67 (((~v115(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B))))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37294,plain,
% 219.12/141.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[37293])).
% 219.12/141.67 tff(37295,plain,
% 219.12/141.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B))))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37294, 37292])).
% 219.12/141.67 tff(37296,plain,
% 219.12/141.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.12/141.67 inference(quant_inst,[status(thm)],[])).
% 219.12/141.67 tff(37297,plain,
% 219.12/141.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))),
% 219.12/141.67 inference(modus_ponens,[status(thm)],[37296, 37295])).
% 219.12/141.67 tff(37298,plain,
% 219.12/141.67 ((~v115(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37297, 2144])).
% 219.12/141.67 tff(37299,plain,
% 219.12/141.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37298, 37291])).
% 219.12/141.67 tff(37300,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))), introduced(assumption)).
% 219.12/141.67 tff(37301,assumption,(v124(constB29, 2)), introduced(assumption)).
% 219.12/141.67 tff(37302,plain,
% 219.12/141.67 ((~(v124(constB29, 2) <=> b011(2))) | (~v124(constB29, 2)) | b011(2)),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37303,plain,
% 219.12/141.67 (~(v124(constB29, 2) <=> b011(2))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37302, 2569, 37301])).
% 219.12/141.67 tff(37304,assumption,(~(v124(constB29, 2) <=> b011(2))), introduced(assumption)).
% 219.12/141.67 tff(37305,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 2) <=> b011(2)))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37306,plain,
% 219.12/141.67 (($false | $false | (v124(constB29, 2) <=> b011(2))) <=> (v124(constB29, 2) <=> b011(2))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37307,plain,
% 219.12/141.67 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b011(2))) <=> ($false | $false | (v124(constB29, 2) <=> b011(2)))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[534, 533])).
% 219.12/141.67 tff(37308,plain,
% 219.12/141.67 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b011(2))) <=> (v124(constB29, 2) <=> b011(2))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37307, 37306])).
% 219.12/141.67 tff(37309,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 2) <=> b011(2)))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[37308])).
% 219.12/141.67 tff(37310,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 2) <=> b011(2)))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37309, 37305])).
% 219.12/141.67 tff(37311,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b011(2)))),
% 219.12/141.67 inference(quant_inst,[status(thm)],[])).
% 219.12/141.67 tff(37312,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 2) <=> b011(2))),
% 219.12/141.67 inference(modus_ponens,[status(thm)],[37311, 37310])).
% 219.12/141.67 tff(37313,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37312, 37300, 37304])).
% 219.12/141.67 tff(37314,plain,((v124(constB29, 2) <=> b011(2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B))))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37315,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37314, 37303, 37300])).
% 219.12/141.67 tff(37316,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (~v124(constB29, 2))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37317,plain,
% 219.12/141.67 (~v124(constB29, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37316, 37299])).
% 219.12/141.67 tff(37318,plain,
% 219.12/141.67 (~v121(constB29, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35919, 37317])).
% 219.12/141.67 tff(37319,plain,
% 219.12/141.67 (~v123(constB30, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35924, 37318, 35923])).
% 219.12/141.67 tff(37320,assumption,(v84(constB30, 2)), introduced(assumption)).
% 219.12/141.67 tff(37321,plain,
% 219.12/141.67 (~(v84(constB30, 2) <=> v123(constB30, 2))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35927, 37320, 37319])).
% 219.12/141.67 tff(37322,plain,
% 219.12/141.67 (v108(constB29) | v119(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34958, 34926, 34939])).
% 219.12/141.67 tff(37323,plain,
% 219.12/141.67 (v107(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35458, 37322, 29636])).
% 219.12/141.67 tff(37324,plain,
% 219.12/141.67 (~((~v107(constB29)) | (~v120(constB29)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35467, 37323])).
% 219.12/141.67 tff(37325,plain,
% 219.12/141.67 (v106(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35470, 37324])).
% 219.12/141.67 tff(37326,plain,
% 219.12/141.67 (v105(constB29) | v106(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35472, 37325])).
% 219.12/141.67 tff(37327,plain,
% 219.12/141.67 (v102(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35475, 37326])).
% 219.12/141.67 tff(37328,plain,
% 219.12/141.67 (v104(constB30)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35478, 37327])).
% 219.12/141.67 tff(37329,plain,
% 219.12/141.67 (~((~v95(constB30)) | (~v104(constB30)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35509, 37328])).
% 219.12/141.67 tff(37330,plain,
% 219.12/141.67 (v94(constB30)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35512, 37329])).
% 219.12/141.67 tff(37331,plain,
% 219.12/141.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35520, 37330])).
% 219.12/141.67 tff(37332,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35531, 37331, 37321])).
% 219.12/141.67 tff(37333,plain,(v84(constB29, 0) | (~v84(constB30, 2)) | (~v84(constB29, 1)) | v84(constB29, 2)), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37334,plain,
% 219.12/141.67 (v84(constB29, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37333, 37289, 34939, 35428])).
% 219.12/141.67 tff(37335,plain,
% 219.12/141.67 ((~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))) | v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37336,plain,
% 219.12/141.67 ((~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))) | v84(constB29, 2) | (~v84(constB29, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37335, 34939])).
% 219.12/141.67 tff(37337,plain,
% 219.12/141.67 (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37336, 37334, 35428])).
% 219.12/141.67 tff(37338,plain,
% 219.12/141.67 ((~(v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))))) | v116(constB29) | (v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37339,plain,
% 219.12/141.67 (v116(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37338, 37337, 30951])).
% 219.12/141.67 tff(37340,plain,
% 219.12/141.67 ((v111(constB29) | v116(constB29)) | (~v116(constB29))),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37341,plain,
% 219.12/141.67 (v111(constB29) | v116(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37340, 37339])).
% 219.12/141.67 tff(37342,plain,
% 219.12/141.67 (v110(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34920, 37341, 29642])).
% 219.12/141.67 tff(37343,plain,
% 219.12/141.67 (v110(constB29) | v117(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34918, 37342])).
% 219.12/141.67 tff(37344,plain,
% 219.12/141.67 (v109(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34916, 37343, 29640])).
% 219.12/141.67 tff(37345,plain,
% 219.12/141.67 (v109(constB29) | v118(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34914, 37344])).
% 219.12/141.67 tff(37346,plain,
% 219.12/141.67 (v108(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34911, 37345, 29638])).
% 219.12/141.67 tff(37347,plain,
% 219.12/141.67 (v108(constB29) | v119(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34909, 37346])).
% 219.12/141.67 tff(37348,plain,
% 219.12/141.67 (v107(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35458, 37347, 29636])).
% 219.12/141.67 tff(37349,plain,
% 219.12/141.67 (~((~v107(constB29)) | (~v120(constB29)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35467, 37348])).
% 219.12/141.67 tff(37350,plain,
% 219.12/141.67 (v106(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35470, 37349])).
% 219.12/141.67 tff(37351,plain,
% 219.12/141.67 (v105(constB29) | v106(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35472, 37350])).
% 219.12/141.67 tff(37352,plain,
% 219.12/141.67 (v102(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35475, 37351])).
% 219.12/141.67 tff(37353,plain,
% 219.12/141.67 (v104(constB30)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35478, 37352])).
% 219.12/141.67 tff(37354,plain,
% 219.12/141.67 (~((~v95(constB30)) | (~v104(constB30)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35509, 37353])).
% 219.12/141.67 tff(37355,plain,
% 219.12/141.67 (v94(constB30)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35512, 37354])).
% 219.12/141.67 tff(37356,plain,
% 219.12/141.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35520, 37355])).
% 219.12/141.67 tff(37357,plain,
% 219.12/141.67 (v84(constB30, 1) <=> v123(constB30, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35543, 37356])).
% 219.12/141.67 tff(37358,plain,
% 219.12/141.67 (v84(constB30, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35697, 37280])).
% 219.12/141.67 tff(37359,plain,
% 219.12/141.67 ((~(v84(constB30, 1) <=> v123(constB30, 1))) | v123(constB30, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35691, 37358])).
% 219.12/141.67 tff(37360,plain,
% 219.12/141.67 (v123(constB30, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37359, 37357])).
% 219.12/141.67 tff(37361,plain,
% 219.12/141.67 ((~(v123(constB30, 1) <=> v121(constB29, 1))) | v121(constB29, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35688, 37360])).
% 219.12/141.67 tff(37362,plain,
% 219.12/141.67 (v121(constB29, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37361, 37250])).
% 219.12/141.67 tff(37363,plain,
% 219.12/141.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B))))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37364,plain,
% 219.12/141.67 (((~v116(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B))))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37365,plain,
% 219.12/141.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[37364])).
% 219.12/141.67 tff(37366,plain,
% 219.12/141.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B))))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37365, 37363])).
% 219.12/141.67 tff(37367,plain,
% 219.12/141.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB29)) | ![B: $int] : ((v124(constB29, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.12/141.67 inference(quant_inst,[status(thm)],[])).
% 219.12/141.67 tff(37368,plain,
% 219.12/141.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))),
% 219.12/141.67 inference(modus_ponens,[status(thm)],[37367, 37366])).
% 219.12/141.67 tff(37369,plain,
% 219.12/141.67 ((~v116(constB29)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37368, 2230])).
% 219.12/141.67 tff(37370,plain,
% 219.12/141.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37369, 37339])).
% 219.12/141.67 tff(37371,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))) | (v124(constB29, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))) | (v124(constB29, 1) <=> b100(1)))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37372,plain,
% 219.12/141.67 (($false | $false | (v124(constB29, 1) <=> b100(1))) <=> (v124(constB29, 1) <=> b100(1))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37373,plain,
% 219.12/141.67 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b100(1))) <=> ($false | $false | (v124(constB29, 1) <=> b100(1)))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[402, 401])).
% 219.12/141.67 tff(37374,plain,
% 219.12/141.67 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b100(1))) <=> (v124(constB29, 1) <=> b100(1))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37373, 37372])).
% 219.12/141.67 tff(37375,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))) | (v124(constB29, 1) <=> b100(1)))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[37374])).
% 219.12/141.67 tff(37376,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))) | (v124(constB29, 1) <=> b100(1)))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37375, 37371])).
% 219.12/141.67 tff(37377,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b100(1)))),
% 219.12/141.67 inference(quant_inst,[status(thm)],[])).
% 219.12/141.67 tff(37378,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b100(B)))) | (v124(constB29, 1) <=> b100(1))),
% 219.12/141.67 inference(modus_ponens,[status(thm)],[37377, 37376])).
% 219.12/141.67 tff(37379,plain,
% 219.12/141.67 (v124(constB29, 1) <=> b100(1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37378, 37370])).
% 219.12/141.67 tff(37380,plain,
% 219.12/141.67 ((~(v124(constB29, 1) <=> b100(1))) | (~v124(constB29, 1)) | b100(1)),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37381,plain,
% 219.12/141.67 ((~(v124(constB29, 1) <=> b100(1))) | (~v124(constB29, 1))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37380, 2274])).
% 219.12/141.67 tff(37382,plain,
% 219.12/141.67 (~v124(constB29, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37381, 37379])).
% 219.12/141.67 tff(37383,plain,
% 219.12/141.67 ((~(v121(constB29, 1) <=> v124(constB29, 1))) | (~v121(constB29, 1))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35674, 37382])).
% 219.12/141.67 tff(37384,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37383, 37362, 37249])).
% 219.12/141.67 tff(37385,plain,((v108(constB31) | v119(constB31)) | v84(constB29, 2) | (~v84(constB29, 1))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37386,plain,
% 219.12/141.67 (v84(constB29, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37385, 37248, 37198])).
% 219.12/141.67 tff(37387,plain,
% 219.12/141.67 ((v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))) | (~v84(constB29, 2))),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37388,plain,
% 219.12/141.67 (v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37387, 37386])).
% 219.12/141.67 tff(37389,plain,
% 219.12/141.67 ((~(v115(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))))) | (~v115(constB29))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[30937, 37388])).
% 219.12/141.67 tff(37390,plain,
% 219.12/141.67 (~v115(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37389, 30910])).
% 219.12/141.67 tff(37391,plain,
% 219.12/141.67 (v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[30952, 37386])).
% 219.12/141.67 tff(37392,plain,
% 219.12/141.67 ((~(v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))))) | (~v116(constB29))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[30954, 37391])).
% 219.12/141.67 tff(37393,plain,
% 219.12/141.67 (~v116(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37392, 30951])).
% 219.12/141.67 tff(37394,plain,
% 219.12/141.67 (v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31050, 37248])).
% 219.12/141.67 tff(37395,plain,
% 219.12/141.67 ((~v118(constB29)) | (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31052, 36000])).
% 219.12/141.67 tff(37396,plain,
% 219.12/141.67 (~v118(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37395, 37394])).
% 219.12/141.67 tff(37397,plain,
% 219.12/141.67 (v108(constB31) | (~(v109(constB31) | v118(constB31)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31344, 37241])).
% 219.12/141.67 tff(37398,plain,
% 219.12/141.67 (~(v109(constB31) | v118(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37397, 37251])).
% 219.12/141.67 tff(37399,plain,
% 219.12/141.67 (~v118(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31367, 37398])).
% 219.12/141.67 tff(37400,plain,
% 219.12/141.67 (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35563, 37399])).
% 219.12/141.67 tff(37401,plain,
% 219.12/141.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b001(B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34368, 37210, 37205])).
% 219.12/141.67 tff(37402,plain,
% 219.12/141.67 (~v124(constB33, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34751, 37401])).
% 219.12/141.67 tff(37403,plain,
% 219.12/141.67 (v84(constB33, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37217, 37402, 37207])).
% 219.12/141.67 tff(37404,plain,
% 219.12/141.67 ((~(v84(constB33, 1) <=> v84(constB32, 1))) | (~v84(constB33, 1)) | v84(constB32, 1)),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37405,plain,
% 219.12/141.67 ((~v84(constB33, 1)) | v84(constB32, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37404, 37164])).
% 219.12/141.67 tff(37406,plain,
% 219.12/141.67 (v84(constB32, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37405, 37403])).
% 219.12/141.67 tff(37407,plain,
% 219.12/141.67 (v124(constB33, 2) <=> b001(2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37229, 37401])).
% 219.12/141.67 tff(37408,plain,
% 219.12/141.67 (~v124(constB33, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37232, 37407])).
% 219.12/141.67 tff(37409,plain,
% 219.12/141.67 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b100(B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[33723, 37408])).
% 219.12/141.67 tff(37410,plain,
% 219.12/141.67 (~v116(constB33)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34718, 37409])).
% 219.12/141.67 tff(37411,plain,
% 219.12/141.67 (v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34222, 37410])).
% 219.12/141.67 tff(37412,plain,
% 219.12/141.67 (v84(constB33, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34224, 37411, 37207, 37403])).
% 219.12/141.67 tff(37413,plain,
% 219.12/141.67 (v84(constB32, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34905, 37412])).
% 219.12/141.67 tff(37414,plain,
% 219.12/141.67 (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35869, 37413])).
% 219.12/141.67 tff(37415,plain,
% 219.12/141.67 (~v115(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[36084, 37414])).
% 219.12/141.67 tff(37416,assumption,(v84(constB32, 1)), introduced(assumption)).
% 219.12/141.67 tff(37417,assumption,(~v115(constB31)), introduced(assumption)).
% 219.12/141.67 tff(37418,plain,
% 219.12/141.67 ((~(v124(constB31, 0) <=> b001(0))) | v124(constB31, 0) | (~b001(0))),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37419,plain,
% 219.12/141.67 (~(v124(constB31, 0) <=> b001(0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37418, 1940, 37174])).
% 219.12/141.67 tff(37420,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | (v124(constB31, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | (v124(constB31, 0) <=> b001(0)))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37421,plain,
% 219.12/141.67 (($false | $false | (v124(constB31, 0) <=> b001(0))) <=> (v124(constB31, 0) <=> b001(0))),
% 219.12/141.67 inference(rewrite,[status(thm)],[])).
% 219.12/141.67 tff(37422,plain,
% 219.12/141.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b001(0))) <=> ($false | $false | (v124(constB31, 0) <=> b001(0)))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[250, 249])).
% 219.12/141.67 tff(37423,plain,
% 219.12/141.67 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b001(0))) <=> (v124(constB31, 0) <=> b001(0))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37422, 37421])).
% 219.12/141.67 tff(37424,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | (v124(constB31, 0) <=> b001(0)))),
% 219.12/141.67 inference(monotonicity,[status(thm)],[37423])).
% 219.12/141.67 tff(37425,plain,
% 219.12/141.67 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | (v124(constB31, 0) <=> b001(0)))),
% 219.12/141.67 inference(transitivity,[status(thm)],[37424, 37420])).
% 219.12/141.67 tff(37426,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b001(0)))),
% 219.12/141.67 inference(quant_inst,[status(thm)],[])).
% 219.12/141.67 tff(37427,plain,
% 219.12/141.67 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | (v124(constB31, 0) <=> b001(0))),
% 219.12/141.67 inference(modus_ponens,[status(thm)],[37426, 37425])).
% 219.12/141.67 tff(37428,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37427, 36118, 37419])).
% 219.12/141.67 tff(37429,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))) | v124(constB31, 0)), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37430,plain,
% 219.12/141.67 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37429, 37174])).
% 219.12/141.67 tff(37431,assumption,(~v94(constB30)), introduced(assumption)).
% 219.12/141.67 tff(37432,plain,
% 219.12/141.67 ((~v95(constB30)) | (~v104(constB30))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35512, 37431])).
% 219.12/141.67 tff(37433,plain,
% 219.12/141.67 (~v104(constB30)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35509, 37432])).
% 219.12/141.67 tff(37434,plain,
% 219.12/141.67 (~v102(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35478, 37433])).
% 219.12/141.67 tff(37435,plain,
% 219.12/141.67 (~(v105(constB29) | v106(constB29))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35475, 37434])).
% 219.12/141.67 tff(37436,plain,
% 219.12/141.67 (~v106(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35472, 37435])).
% 219.12/141.67 tff(37437,assumption,(~v84(constB30, 1)), introduced(assumption)).
% 219.12/141.67 tff(37438,plain,
% 219.12/141.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31124, 37431])).
% 219.12/141.67 tff(37439,plain,
% 219.12/141.67 (~(v84(constB30, 1) <=> v84(constB29, 1))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31135, 34939, 37437])).
% 219.12/141.67 tff(37440,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))), introduced(assumption)).
% 219.12/141.67 tff(37441,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31133, 37440, 37439])).
% 219.12/141.67 tff(37442,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))) | (~v84(constB29, 1)) | v84(constB30, 1)), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37443,plain,
% 219.12/141.67 (~v84(constB29, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37442, 37438, 37437])).
% 219.12/141.67 tff(37444,plain,
% 219.12/141.67 (v108(constB29) | v119(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35453, 37443])).
% 219.12/141.67 tff(37445,plain,
% 219.12/141.67 (v107(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35458, 37444, 35457])).
% 219.12/141.67 tff(37446,plain,
% 219.12/141.67 (~((~v107(constB29)) | (~v120(constB29)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35467, 37445])).
% 219.12/141.67 tff(37447,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35470, 37446, 37436])).
% 219.12/141.67 tff(37448,plain,(v94(constB30) | v84(constB30, 1)), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37449,plain,
% 219.12/141.67 (v84(constB30, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37448, 37431])).
% 219.12/141.67 tff(37450,plain,
% 219.12/141.67 (v84(constB31, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35983, 37449])).
% 219.12/141.67 tff(37451,plain,
% 219.12/141.67 (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31141, 37450])).
% 219.12/141.67 tff(37452,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))), introduced(assumption)).
% 219.12/141.67 tff(37453,assumption,(~v102(constB29)), introduced(assumption)).
% 219.12/141.67 tff(37454,plain,
% 219.12/141.67 (~(v105(constB29) | v106(constB29))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35475, 37453])).
% 219.12/141.67 tff(37455,plain,
% 219.12/141.67 (~v106(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35472, 37454])).
% 219.12/141.67 tff(37456,plain,
% 219.12/141.67 ((~v107(constB29)) | (~v120(constB29))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35470, 37455])).
% 219.12/141.67 tff(37457,plain,
% 219.12/141.67 (~v107(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35467, 37456])).
% 219.12/141.67 tff(37458,plain,
% 219.12/141.67 (~(v108(constB29) | v119(constB29))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35458, 37457, 29636])).
% 219.12/141.67 tff(37459,plain,
% 219.12/141.67 (~v108(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34909, 37458])).
% 219.12/141.67 tff(37460,plain,
% 219.12/141.67 (~(v109(constB29) | v118(constB29))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34911, 37459, 29638])).
% 219.12/141.67 tff(37461,plain,
% 219.12/141.67 (~v109(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34914, 37460])).
% 219.12/141.67 tff(37462,plain,
% 219.12/141.67 (~(v110(constB29) | v117(constB29))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34916, 37461, 29640])).
% 219.12/141.67 tff(37463,plain,
% 219.12/141.67 (~v110(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34918, 37462])).
% 219.12/141.67 tff(37464,plain,
% 219.12/141.67 (~(v111(constB29) | v116(constB29))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34920, 37463, 29642])).
% 219.12/141.67 tff(37465,plain,
% 219.12/141.67 (~v116(constB29)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37340, 37464])).
% 219.12/141.67 tff(37466,plain,
% 219.12/141.67 (v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37338, 37465, 30951])).
% 219.12/141.67 tff(37467,plain,
% 219.12/141.67 (~v104(constB30)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31107, 37453])).
% 219.12/141.67 tff(37468,plain,
% 219.12/141.67 ((~v95(constB30)) | (~v104(constB30))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31109, 37467])).
% 219.12/141.67 tff(37469,plain,
% 219.12/141.67 (~v94(constB30)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31116, 37468])).
% 219.12/141.67 tff(37470,plain,
% 219.12/141.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31124, 37469])).
% 219.12/141.67 tff(37471,plain,
% 219.12/141.67 (v84(constB30, 2) <=> v84(constB29, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31222, 37470])).
% 219.12/141.67 tff(37472,plain,
% 219.12/141.67 (v84(constB30, 1) <=> v84(constB29, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31133, 37470])).
% 219.12/141.67 tff(37473,plain,
% 219.12/141.67 ((~(v84(constB30, 1) <=> v84(constB29, 1))) | v84(constB30, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31135, 34939])).
% 219.12/141.67 tff(37474,plain,
% 219.12/141.67 (v84(constB30, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37473, 37472])).
% 219.12/141.67 tff(37475,plain,
% 219.12/141.67 ((~(v84(constB31, 1) <=> v84(constB30, 1))) | v84(constB31, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31138, 37474])).
% 219.12/141.67 tff(37476,plain,
% 219.12/141.67 (v84(constB31, 1)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37475, 29634])).
% 219.12/141.67 tff(37477,plain,
% 219.12/141.67 (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31259, 37476])).
% 219.12/141.67 tff(37478,plain,
% 219.12/141.67 ((~(v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))))) | (~v118(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31261, 37477])).
% 219.12/141.67 tff(37479,plain,
% 219.12/141.67 (~v118(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37478, 31258])).
% 219.12/141.67 tff(37480,plain,
% 219.12/141.67 (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[36088, 37476])).
% 219.12/141.67 tff(37481,plain,
% 219.12/141.67 ((~(v117(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))))) | (~v117(constB31))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31244, 37480])).
% 219.12/141.67 tff(37482,plain,
% 219.12/141.67 (~v117(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37481, 31241])).
% 219.12/141.67 tff(37483,assumption,(~v114(constB31)), introduced(assumption)).
% 219.12/141.67 tff(37484,plain,
% 219.12/141.67 (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35985, 37476])).
% 219.12/141.67 tff(37485,plain,
% 219.12/141.67 (~v113(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31174, 37484, 35847])).
% 219.12/141.67 tff(37486,plain,
% 219.12/141.67 (v116(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[36113, 1807, 37485, 37417, 37483, 37452, 37482, 37479])).
% 219.12/141.67 tff(37487,plain,
% 219.12/141.67 (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31232, 37486, 31205])).
% 219.12/141.67 tff(37488,plain,
% 219.12/141.67 (~v84(constB31, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31230, 37487])).
% 219.12/141.67 tff(37489,plain,
% 219.12/141.67 ((~(v84(constB31, 2) <=> v84(constB30, 2))) | (~v84(constB30, 2))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31227, 37488])).
% 219.12/141.67 tff(37490,plain,
% 219.12/141.67 (~v84(constB30, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37489, 31214])).
% 219.12/141.67 tff(37491,plain,
% 219.12/141.67 ((~(v84(constB30, 2) <=> v84(constB29, 2))) | (~v84(constB29, 2))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31224, 37490])).
% 219.12/141.67 tff(37492,plain,
% 219.12/141.67 (~v84(constB29, 2)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37491, 37471])).
% 219.12/141.67 tff(37493,plain,
% 219.12/141.67 (v84(constB30, 0) <=> v84(constB29, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[31164, 37470])).
% 219.12/141.67 tff(37494,plain,
% 219.12/141.67 (((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))) | v84(constB31, 0)),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37495,plain,
% 219.12/141.67 (v84(constB31, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37494, 37487])).
% 219.12/141.67 tff(37496,plain,
% 219.12/141.67 ((~(v84(constB31, 0) <=> v84(constB30, 0))) | v84(constB30, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35953, 37495])).
% 219.12/141.67 tff(37497,plain,
% 219.12/141.67 (v84(constB30, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37496, 31156])).
% 219.12/141.67 tff(37498,plain,
% 219.12/141.67 ((~(v84(constB30, 0) <=> v84(constB29, 0))) | (~v84(constB30, 0)) | v84(constB29, 0)),
% 219.12/141.67 inference(tautology,[status(thm)],[])).
% 219.12/141.67 tff(37499,plain,
% 219.12/141.67 ((~(v84(constB30, 0) <=> v84(constB29, 0))) | v84(constB29, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37498, 37497])).
% 219.12/141.67 tff(37500,plain,
% 219.12/141.67 (v84(constB29, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37499, 37493])).
% 219.12/141.67 tff(37501,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37336, 37500, 37492, 37466])).
% 219.12/141.67 tff(37502,plain,(v102(constB29) | (~v84(constB29, 1)) | v115(constB31) | v114(constB31) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37503,plain,
% 219.12/141.67 (v114(constB31)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37502, 37434, 37452, 37417, 34939])).
% 219.12/141.67 tff(37504,plain,
% 219.12/141.67 ($false),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[36099, 37503, 37451])).
% 219.12/141.67 tff(37505,plain,(v94(constB30) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))) | v115(constB31) | (~v84(constB29, 1))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.67 tff(37506,plain,
% 219.12/141.67 (v94(constB30)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[37505, 37430, 37417, 34939])).
% 219.12/141.67 tff(37507,plain,
% 219.12/141.67 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35520, 37506])).
% 219.12/141.67 tff(37508,plain,
% 219.12/141.67 (v84(constB30, 0) <=> v123(constB30, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[35557, 37507])).
% 219.12/141.67 tff(37509,assumption,(v84(constB32, 0)), introduced(assumption)).
% 219.12/141.67 tff(37510,plain,
% 219.12/141.67 (~v121(constB31, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34818, 37174])).
% 219.12/141.67 tff(37511,plain,
% 219.12/141.67 (~v123(constB32, 0)),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34797, 37510])).
% 219.12/141.67 tff(37512,plain,
% 219.12/141.67 (~(v84(constB32, 0) <=> v123(constB32, 0))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34776, 37511, 37509])).
% 219.12/141.67 tff(37513,plain,
% 219.12/141.67 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))),
% 219.12/141.67 inference(unit_resolution,[status(thm)],[34423, 37512])).
% 219.12/141.68 tff(37514,plain,
% 219.12/141.68 (~v94(constB32)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[34410, 37513])).
% 219.12/141.68 tff(37515,plain,
% 219.12/141.68 ((~v95(constB32)) | (~v104(constB32))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[34402, 37514])).
% 219.12/141.68 tff(37516,plain,
% 219.12/141.68 (~v104(constB32)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[34399, 37515])).
% 219.12/141.68 tff(37517,plain,
% 219.12/141.68 (~v102(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31316, 37516])).
% 219.12/141.68 tff(37518,plain,
% 219.12/141.68 (~(v105(constB31) | v106(constB31))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31319, 37517])).
% 219.12/141.68 tff(37519,plain,
% 219.12/141.68 (~v106(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31321, 37518])).
% 219.12/141.68 tff(37520,plain,
% 219.12/141.68 ((~v107(constB31)) | (~v120(constB31))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31324, 37519])).
% 219.12/141.68 tff(37521,plain,
% 219.12/141.68 (~v107(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31332, 37520])).
% 219.12/141.68 tff(37522,plain,
% 219.12/141.68 (~(v108(constB31) | v119(constB31))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35864, 37521])).
% 219.12/141.68 tff(37523,plain,
% 219.12/141.68 (~v108(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31342, 37522])).
% 219.12/141.68 tff(37524,plain,
% 219.12/141.68 (~(v109(constB31) | v118(constB31))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37397, 37523])).
% 219.12/141.68 tff(37525,plain,
% 219.12/141.68 (~v118(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31367, 37524])).
% 219.12/141.68 tff(37526,plain,
% 219.12/141.68 (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35563, 37525])).
% 219.12/141.68 tff(37527,plain,
% 219.12/141.68 ((~(v124(constB31, 0) <=> b101(0))) | v124(constB31, 0) | (~b101(0))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37528,plain,
% 219.12/141.68 (~(v124(constB31, 0) <=> b101(0))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37527, 2042, 37174])).
% 219.12/141.68 tff(37529,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))), introduced(assumption)).
% 219.12/141.68 tff(37530,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))) | (v124(constB31, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))) | (v124(constB31, 0) <=> b101(0)))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37531,plain,
% 219.12/141.68 (($false | $false | (v124(constB31, 0) <=> b101(0))) <=> (v124(constB31, 0) <=> b101(0))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37532,plain,
% 219.12/141.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b101(0))) <=> ($false | $false | (v124(constB31, 0) <=> b101(0)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[250, 249])).
% 219.12/141.68 tff(37533,plain,
% 219.12/141.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b101(0))) <=> (v124(constB31, 0) <=> b101(0))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37532, 37531])).
% 219.12/141.68 tff(37534,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))) | (v124(constB31, 0) <=> b101(0)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37533])).
% 219.12/141.68 tff(37535,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))) | (v124(constB31, 0) <=> b101(0)))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37534, 37530])).
% 219.12/141.68 tff(37536,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b101(0)))),
% 219.12/141.68 inference(quant_inst,[status(thm)],[])).
% 219.12/141.68 tff(37537,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))) | (v124(constB31, 0) <=> b101(0))),
% 219.12/141.68 inference(modus_ponens,[status(thm)],[37536, 37535])).
% 219.12/141.68 tff(37538,plain,
% 219.12/141.68 ($false),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37537, 37529, 37528])).
% 219.12/141.68 tff(37539,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))) | v124(constB31, 0)), inference(lemma,lemma(discharge,[]))).
% 219.12/141.68 tff(37540,plain,
% 219.12/141.68 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37539, 37174])).
% 219.12/141.68 tff(37541,assumption,(v117(constB31)), introduced(assumption)).
% 219.12/141.68 tff(37542,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))), introduced(assumption)).
% 219.12/141.68 tff(37543,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B))))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37544,plain,
% 219.12/141.68 (((~v117(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B))))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37545,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37544])).
% 219.12/141.68 tff(37546,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B))))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37545, 37543])).
% 219.12/141.68 tff(37547,plain,
% 219.12/141.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.12/141.68 inference(quant_inst,[status(thm)],[])).
% 219.12/141.68 tff(37548,plain,
% 219.12/141.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))),
% 219.12/141.68 inference(modus_ponens,[status(thm)],[37547, 37546])).
% 219.12/141.68 tff(37549,plain,
% 219.12/141.68 ($false),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37548, 2090, 37542, 37541])).
% 219.12/141.68 tff(37550,plain,((~v117(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.68 tff(37551,plain,
% 219.12/141.68 (~v117(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37550, 37540])).
% 219.12/141.68 tff(37552,plain,
% 219.12/141.68 (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37275, 37551])).
% 219.12/141.68 tff(37553,plain,
% 219.12/141.68 (v84(constB30, 1) <=> v123(constB30, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35545, 37507])).
% 219.12/141.68 tff(37554,plain,
% 219.12/141.68 (v84(constB29, 2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37385, 37522, 34939])).
% 219.12/141.68 tff(37555,plain,
% 219.12/141.68 (v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[30952, 37554])).
% 219.12/141.68 tff(37556,plain,
% 219.12/141.68 (~v116(constB29)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[30954, 37555, 30951])).
% 219.12/141.68 tff(37557,plain,
% 219.12/141.68 (v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37387, 37554])).
% 219.12/141.68 tff(37558,plain,
% 219.12/141.68 (~v115(constB29)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[30937, 37557, 30910])).
% 219.12/141.68 tff(37559,plain,
% 219.12/141.68 (v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31050, 34939])).
% 219.12/141.68 tff(37560,plain,
% 219.12/141.68 (~v118(constB29)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37395, 37559])).
% 219.12/141.68 tff(37561,plain,
% 219.12/141.68 (v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[30864, 34939])).
% 219.12/141.68 tff(37562,plain,
% 219.12/141.68 ((~v114(constB29)) | (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[30866, 35886])).
% 219.12/141.68 tff(37563,plain,
% 219.12/141.68 (~v114(constB29)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37562, 37561])).
% 219.12/141.68 tff(37564,plain,
% 219.12/141.68 (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[30972, 34939])).
% 219.12/141.68 tff(37565,plain,
% 219.12/141.68 ((~v117(constB29)) | (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31035, 35752])).
% 219.12/141.68 tff(37566,plain,
% 219.12/141.68 (~v117(constB29)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37565, 37564])).
% 219.12/141.68 tff(37567,plain,
% 219.12/141.68 ((v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)) | (~v84(constB29, 1))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37568,plain,
% 219.12/141.68 (v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37567, 34939])).
% 219.12/141.68 tff(37569,plain,
% 219.12/141.68 (~v113(constB29)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[30902, 37568])).
% 219.12/141.68 tff(37570,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB29) | v114(constB29) | v115(constB29) | v116(constB29) | v117(constB29) | v118(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB29) | v114(constB29) | v115(constB29) | v116(constB29) | v117(constB29) | v118(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B))))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37571,plain,
% 219.12/141.68 ((v118(constB29) | v117(constB29) | v116(constB29) | v115(constB29) | v114(constB29) | v113(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) <=> (v113(constB29) | v114(constB29) | v115(constB29) | v116(constB29) | v117(constB29) | v118(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B))))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37572,plain,
% 219.12/141.68 (^[B: $int] : rewrite(((v124(constB29, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B))))),
% 219.12/141.68 inference(bind,[status(th)],[])).
% 219.12/141.68 tff(37573,plain,
% 219.12/141.68 (![B: $int] : ((v124(constB29, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))) <=> ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))),
% 219.12/141.68 inference(quant_intro,[status(thm)],[37572])).
% 219.12/141.68 tff(37574,plain,
% 219.12/141.68 ((v118(constB29) | v117(constB29) | v116(constB29) | v115(constB29) | v114(constB29) | v113(constB29) | ![B: $int] : ((v124(constB29, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v118(constB29) | v117(constB29) | v116(constB29) | v115(constB29) | v114(constB29) | v113(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B))))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37573])).
% 219.12/141.68 tff(37575,plain,
% 219.12/141.68 ((v118(constB29) | v117(constB29) | v116(constB29) | v115(constB29) | v114(constB29) | v113(constB29) | ![B: $int] : ((v124(constB29, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> (v113(constB29) | v114(constB29) | v115(constB29) | v116(constB29) | v117(constB29) | v118(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B))))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37574, 37571])).
% 219.12/141.68 tff(37576,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB29) | v117(constB29) | v116(constB29) | v115(constB29) | v114(constB29) | v113(constB29) | ![B: $int] : ((v124(constB29, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v113(constB29) | v114(constB29) | v115(constB29) | v116(constB29) | v117(constB29) | v118(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37575])).
% 219.12/141.68 tff(37577,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB29) | v117(constB29) | v116(constB29) | v115(constB29) | v114(constB29) | v113(constB29) | ![B: $int] : ((v124(constB29, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB29) | v114(constB29) | v115(constB29) | v116(constB29) | v117(constB29) | v118(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B))))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37576, 37570])).
% 219.12/141.68 tff(37578,plain,
% 219.12/141.68 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (v118(constB29) | v117(constB29) | v116(constB29) | v115(constB29) | v114(constB29) | v113(constB29) | ![B: $int] : ((v124(constB29, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.12/141.68 inference(quant_inst,[status(thm)],[])).
% 219.12/141.68 tff(37579,plain,
% 219.12/141.68 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | v113(constB29) | v114(constB29) | v115(constB29) | v116(constB29) | v117(constB29) | v118(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))),
% 219.12/141.68 inference(modus_ponens,[status(thm)],[37578, 37577])).
% 219.12/141.68 tff(37580,plain,
% 219.12/141.68 (v115(constB29) | v116(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37579, 1807, 37569, 37566, 37563, 37560])).
% 219.12/141.68 tff(37581,plain,
% 219.12/141.68 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37580, 37558, 37556])).
% 219.12/141.68 tff(37582,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))), introduced(assumption)).
% 219.12/141.68 tff(37583,assumption,(~v124(constB29, 0)), introduced(assumption)).
% 219.12/141.68 tff(37584,plain,
% 219.12/141.68 ((~(v124(constB29, 0) <=> b001(0))) | v124(constB29, 0) | (~b001(0))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37585,plain,
% 219.12/141.68 (~(v124(constB29, 0) <=> b001(0))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37584, 1940, 37583])).
% 219.12/141.68 tff(37586,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 0) <=> b001(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 0) <=> b001(0)))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37587,plain,
% 219.12/141.68 (($false | $false | (v124(constB29, 0) <=> b001(0))) <=> (v124(constB29, 0) <=> b001(0))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37588,plain,
% 219.12/141.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b001(0))) <=> ($false | $false | (v124(constB29, 0) <=> b001(0)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[250, 249])).
% 219.12/141.68 tff(37589,plain,
% 219.12/141.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b001(0))) <=> (v124(constB29, 0) <=> b001(0))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37588, 37587])).
% 219.12/141.68 tff(37590,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 0) <=> b001(0)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37589])).
% 219.12/141.68 tff(37591,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b001(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 0) <=> b001(0)))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37590, 37586])).
% 219.12/141.68 tff(37592,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b001(0)))),
% 219.12/141.68 inference(quant_inst,[status(thm)],[])).
% 219.12/141.68 tff(37593,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 0) <=> b001(0))),
% 219.12/141.68 inference(modus_ponens,[status(thm)],[37592, 37591])).
% 219.12/141.68 tff(37594,plain,
% 219.12/141.68 ($false),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37593, 37582, 37585])).
% 219.12/141.68 tff(37595,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | v124(constB29, 0)), inference(lemma,lemma(discharge,[]))).
% 219.12/141.68 tff(37596,plain,
% 219.12/141.68 (v124(constB29, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37595, 37582])).
% 219.12/141.68 tff(37597,plain,
% 219.12/141.68 (v121(constB29, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35724, 37596])).
% 219.12/141.68 tff(37598,plain,
% 219.12/141.68 (v123(constB30, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35738, 37597])).
% 219.12/141.68 tff(37599,plain,
% 219.12/141.68 (v84(constB30, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35740, 37598, 35699])).
% 219.12/141.68 tff(37600,plain,
% 219.12/141.68 (v84(constB31, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35745, 37599])).
% 219.12/141.68 tff(37601,plain,
% 219.12/141.68 (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31172, 37600])).
% 219.12/141.68 tff(37602,plain,
% 219.12/141.68 (v84(constB31, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31408, 37601, 31392, 31403, 31394])).
% 219.12/141.68 tff(37603,plain,
% 219.12/141.68 (v84(constB30, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35697, 37602])).
% 219.12/141.68 tff(37604,plain,
% 219.12/141.68 (v123(constB30, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35691, 37603, 35650])).
% 219.12/141.68 tff(37605,plain,
% 219.12/141.68 (v121(constB29, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35689, 37604])).
% 219.12/141.68 tff(37606,plain,
% 219.12/141.68 (v124(constB29, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35675, 37605])).
% 219.12/141.68 tff(37607,plain,
% 219.12/141.68 ((~(v124(constB29, 1) <=> b001(1))) | (~v124(constB29, 1)) | b001(1)),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37608,plain,
% 219.12/141.68 (~(v124(constB29, 1) <=> b001(1))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37607, 1885, 37606])).
% 219.12/141.68 tff(37609,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 1) <=> b001(1)))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37610,plain,
% 219.12/141.68 (($false | $false | (v124(constB29, 1) <=> b001(1))) <=> (v124(constB29, 1) <=> b001(1))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37611,plain,
% 219.12/141.68 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b001(1))) <=> ($false | $false | (v124(constB29, 1) <=> b001(1)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[402, 401])).
% 219.12/141.68 tff(37612,plain,
% 219.12/141.68 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b001(1))) <=> (v124(constB29, 1) <=> b001(1))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37611, 37610])).
% 219.12/141.68 tff(37613,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 1) <=> b001(1)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37612])).
% 219.12/141.68 tff(37614,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 1) <=> b001(1)))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37613, 37609])).
% 219.12/141.68 tff(37615,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b001(1)))),
% 219.12/141.68 inference(quant_inst,[status(thm)],[])).
% 219.12/141.68 tff(37616,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 1) <=> b001(1))),
% 219.12/141.68 inference(modus_ponens,[status(thm)],[37615, 37614])).
% 219.12/141.68 tff(37617,plain,
% 219.12/141.68 ($false),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37616, 37582, 37608])).
% 219.12/141.68 tff(37618,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (~(v84(constB30, 1) <=> v123(constB30, 1))) | (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))) | (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))) | (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))) | (~(v84(constB30, 0) <=> v123(constB30, 0)))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.68 tff(37619,plain,
% 219.12/141.68 (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37618, 37581, 37553, 37552, 37526, 37508])).
% 219.12/141.68 tff(37620,plain,
% 219.12/141.68 (~v84(constB31, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31141, 37619])).
% 219.12/141.68 tff(37621,plain,
% 219.12/141.68 ((~(v84(constB32, 1) <=> v84(constB31, 1))) | (~v84(constB32, 1)) | v84(constB31, 1)),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37622,plain,
% 219.12/141.68 (~(v84(constB32, 1) <=> v84(constB31, 1))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37621, 37620, 37416])).
% 219.12/141.68 tff(37623,plain,
% 219.12/141.68 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v84(constB31, B)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31437, 37514])).
% 219.12/141.68 tff(37624,plain,
% 219.12/141.68 ($false),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31522, 37623, 37622])).
% 219.12/141.68 tff(37625,plain,(v124(constB31, 0) | (~v84(constB32, 1)) | (~v84(constB29, 1)) | (~v84(constB32, 0)) | v115(constB31)), inference(lemma,lemma(discharge,[]))).
% 219.12/141.68 tff(37626,plain,
% 219.12/141.68 (v124(constB31, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37625, 37415, 37206, 37248, 37406])).
% 219.12/141.68 tff(37627,plain,
% 219.12/141.68 ((~(v124(constB31, 0) <=> b010(0))) | (~v124(constB31, 0)) | b010(0)),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37628,plain,
% 219.12/141.68 (~(v124(constB31, 0) <=> b010(0))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37627, 2437, 34820])).
% 219.12/141.68 tff(37629,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))), introduced(assumption)).
% 219.12/141.68 tff(37630,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 0) <=> b010(0)))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37631,plain,
% 219.12/141.68 (($false | $false | (v124(constB31, 0) <=> b010(0))) <=> (v124(constB31, 0) <=> b010(0))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37632,plain,
% 219.12/141.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b010(0))) <=> ($false | $false | (v124(constB31, 0) <=> b010(0)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[250, 249])).
% 219.12/141.68 tff(37633,plain,
% 219.12/141.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b010(0))) <=> (v124(constB31, 0) <=> b010(0))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37632, 37631])).
% 219.12/141.68 tff(37634,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 0) <=> b010(0)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37633])).
% 219.12/141.68 tff(37635,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 0) <=> b010(0)))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37634, 37630])).
% 219.12/141.68 tff(37636,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b010(0)))),
% 219.12/141.68 inference(quant_inst,[status(thm)],[])).
% 219.12/141.68 tff(37637,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 0) <=> b010(0))),
% 219.12/141.68 inference(modus_ponens,[status(thm)],[37636, 37635])).
% 219.12/141.68 tff(37638,plain,
% 219.12/141.68 ($false),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37637, 37629, 37628])).
% 219.12/141.68 tff(37639,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (~v124(constB31, 0))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.68 tff(37640,plain,
% 219.12/141.68 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37639, 37626])).
% 219.12/141.68 tff(37641,assumption,(v114(constB31)), introduced(assumption)).
% 219.12/141.68 tff(37642,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))), introduced(assumption)).
% 219.12/141.68 tff(37643,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B))))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37644,plain,
% 219.12/141.68 (((~v114(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B))))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37645,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37644])).
% 219.12/141.68 tff(37646,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B))))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37645, 37643])).
% 219.12/141.68 tff(37647,plain,
% 219.12/141.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.12/141.68 inference(quant_inst,[status(thm)],[])).
% 219.12/141.68 tff(37648,plain,
% 219.12/141.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))),
% 219.12/141.68 inference(modus_ponens,[status(thm)],[37647, 37646])).
% 219.12/141.68 tff(37649,plain,
% 219.12/141.68 ($false),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37648, 2418, 37642, 37641])).
% 219.12/141.68 tff(37650,plain,((~v114(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.68 tff(37651,plain,
% 219.12/141.68 (~v114(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37650, 37640])).
% 219.12/141.68 tff(37652,plain,
% 219.12/141.68 (v114(constB31) | (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31379, 36098])).
% 219.12/141.68 tff(37653,plain,
% 219.12/141.68 (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37652, 37651])).
% 219.12/141.68 tff(37654,plain,
% 219.12/141.68 (~v109(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31347, 37398])).
% 219.12/141.68 tff(37655,plain,
% 219.12/141.68 ((~(v109(constB31) <=> (v110(constB31) | v117(constB31)))) | (~(v110(constB31) | v117(constB31)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31349, 37654])).
% 219.12/141.68 tff(37656,plain,
% 219.12/141.68 (~(v110(constB31) | v117(constB31))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37655, 29583])).
% 219.12/141.68 tff(37657,plain,
% 219.12/141.68 (~v117(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31382, 37656])).
% 219.12/141.68 tff(37658,plain,
% 219.12/141.68 (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37275, 37657])).
% 219.12/141.68 tff(37659,plain,
% 219.12/141.68 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37618, 37658, 35650, 35699, 37653, 37400])).
% 219.12/141.68 tff(37660,plain,
% 219.12/141.68 (v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[30864, 37248])).
% 219.12/141.68 tff(37661,plain,
% 219.12/141.68 (~v114(constB29)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37562, 37660])).
% 219.12/141.68 tff(37662,plain,
% 219.12/141.68 (~v117(constB29)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35748, 37400, 35699, 35650])).
% 219.12/141.68 tff(37663,plain,
% 219.12/141.68 (v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37567, 37248])).
% 219.12/141.68 tff(37664,plain,
% 219.12/141.68 (~v113(constB29)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[30902, 37663])).
% 219.12/141.68 tff(37665,plain,
% 219.12/141.68 ($false),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37579, 1807, 37664, 37662, 37661, 37659, 37396, 37393, 37390])).
% 219.12/141.68 tff(37666,plain,((v108(constB31) | v119(constB31)) | (~(v84(constB30, 1) <=> v123(constB30, 1))) | (~(v84(constB30, 0) <=> v123(constB30, 0)))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.68 tff(37667,plain,
% 219.12/141.68 (v108(constB31) | v119(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37666, 35883, 37197])).
% 219.12/141.68 tff(37668,plain,
% 219.12/141.68 (v107(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[35864, 37667])).
% 219.12/141.68 tff(37669,plain,
% 219.12/141.68 (~((~v107(constB31)) | (~v120(constB31)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31332, 37668])).
% 219.12/141.68 tff(37670,plain,
% 219.12/141.68 (v106(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31324, 37669])).
% 219.12/141.68 tff(37671,plain,
% 219.12/141.68 (v105(constB31) | v106(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31321, 37670])).
% 219.12/141.68 tff(37672,plain,
% 219.12/141.68 (v102(constB31)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31319, 37671])).
% 219.12/141.68 tff(37673,plain,
% 219.12/141.68 (v104(constB32)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[31316, 37672])).
% 219.12/141.68 tff(37674,plain,
% 219.12/141.68 (~((~v95(constB32)) | (~v104(constB32)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[34399, 37673])).
% 219.12/141.68 tff(37675,plain,
% 219.12/141.68 (v94(constB32)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[34402, 37674])).
% 219.12/141.68 tff(37676,plain,
% 219.12/141.68 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[34410, 37675])).
% 219.12/141.68 tff(37677,plain,
% 219.12/141.68 (v84(constB32, 0) <=> v123(constB32, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[34423, 37676])).
% 219.12/141.68 tff(37678,plain,
% 219.12/141.68 ((~(v84(constB32, 0) <=> v123(constB32, 0))) | v84(constB32, 0) | (~v123(constB32, 0))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37679,plain,
% 219.12/141.68 (v84(constB32, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37678, 37677, 37193])).
% 219.12/141.68 tff(37680,assumption,((~v84(constB32, 1)) | v84(constB32, 2) | (~v84(constB32, 0))), introduced(assumption)).
% 219.12/141.68 tff(37681,plain,
% 219.12/141.68 ((~((~v84(constB32, 1)) | v84(constB32, 2) | (~v84(constB32, 0)))) | (~v84(constB32, 1)) | v84(constB32, 2) | (~v84(constB32, 0))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37682,plain,
% 219.12/141.68 (~v84(constB32, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37681, 37679, 37171, 37680])).
% 219.12/141.68 tff(37683,plain,
% 219.12/141.68 ((~(v84(constB32, 1) | v84(constB32, 2) | (~v84(constB32, 0)))) | v84(constB32, 1) | v84(constB32, 2) | (~v84(constB32, 0))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37684,plain,
% 219.12/141.68 ($false),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37683, 37682, 37679, 37171, 37169])).
% 219.12/141.68 tff(37685,plain,((v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))) | (~(v84(constB32, 1) | v84(constB32, 2) | (~v84(constB32, 0)))) | (~((~v84(constB32, 1)) | v84(constB32, 2) | (~v84(constB32, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.12/141.68 tff(37686,plain,
% 219.12/141.68 (v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37685, 37168, 37160])).
% 219.12/141.68 tff(37687,assumption,(v117(constB23)), introduced(assumption)).
% 219.12/141.68 tff(37688,plain,
% 219.12/141.68 ((v110(constB23) | v117(constB23)) | (~v117(constB23))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37689,plain,
% 219.12/141.68 (v110(constB23) | v117(constB23)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37688, 37687])).
% 219.12/141.68 tff(37690,plain,
% 219.12/141.68 ((~(v109(constB23) <=> (v110(constB23) | v117(constB23)))) | v109(constB23)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36196, 37689])).
% 219.12/141.68 tff(37691,plain,
% 219.12/141.68 (v109(constB23)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37690, 29747])).
% 219.12/141.68 tff(37692,plain,
% 219.12/141.68 (v109(constB23) | v118(constB23)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36198, 37691])).
% 219.12/141.68 tff(37693,plain,
% 219.12/141.68 (v108(constB23)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36200, 37692, 29745])).
% 219.12/141.68 tff(37694,plain,
% 219.12/141.68 (v108(constB23) | v119(constB23)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36202, 37693])).
% 219.12/141.68 tff(37695,plain,
% 219.12/141.68 (v107(constB23)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36204, 37694, 29743])).
% 219.12/141.68 tff(37696,plain,
% 219.12/141.68 (~((~v107(constB23)) | (~v120(constB23)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36212, 37695])).
% 219.12/141.68 tff(37697,plain,
% 219.12/141.68 (v106(constB23)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36215, 37696])).
% 219.12/141.68 tff(37698,plain,
% 219.12/141.68 (v105(constB23) | v106(constB23)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36217, 37697])).
% 219.12/141.68 tff(37699,plain,
% 219.12/141.68 (v102(constB23)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36220, 37698])).
% 219.12/141.68 tff(37700,plain,
% 219.12/141.68 (v104(constB24)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36223, 37699])).
% 219.12/141.68 tff(37701,plain,
% 219.12/141.68 (~((~v95(constB24)) | (~v104(constB24)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36254, 37700])).
% 219.12/141.68 tff(37702,plain,
% 219.12/141.68 (v94(constB24)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36257, 37701])).
% 219.12/141.68 tff(37703,plain,
% 219.12/141.68 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36265, 37702])).
% 219.12/141.68 tff(37704,plain,
% 219.12/141.68 (v84(constB24, 0) <=> v123(constB24, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36290, 37703])).
% 219.12/141.68 tff(37705,plain,
% 219.12/141.68 (v123(constB24, 0) <=> v121(constB23, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36473, 36368])).
% 219.12/141.68 tff(37706,plain,
% 219.12/141.68 (v121(constB23, 0) <=> v124(constB23, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36459, 36347])).
% 219.12/141.68 tff(37707,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B))))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37708,plain,
% 219.12/141.68 (((~v117(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B))))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37709,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37708])).
% 219.12/141.68 tff(37710,plain,
% 219.12/141.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B))))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37709, 37707])).
% 219.12/141.68 tff(37711,plain,
% 219.12/141.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.12/141.68 inference(quant_inst,[status(thm)],[])).
% 219.12/141.68 tff(37712,plain,
% 219.12/141.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))),
% 219.12/141.68 inference(modus_ponens,[status(thm)],[37711, 37710])).
% 219.12/141.68 tff(37713,plain,
% 219.12/141.68 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37712, 2090, 37687])).
% 219.12/141.68 tff(37714,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 0) <=> b101(0)))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37715,plain,
% 219.12/141.68 (($false | $false | (v124(constB23, 0) <=> b101(0))) <=> (v124(constB23, 0) <=> b101(0))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37716,plain,
% 219.12/141.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b101(0))) <=> ($false | $false | (v124(constB23, 0) <=> b101(0)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[250, 249])).
% 219.12/141.68 tff(37717,plain,
% 219.12/141.68 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b101(0))) <=> (v124(constB23, 0) <=> b101(0))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37716, 37715])).
% 219.12/141.68 tff(37718,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 0) <=> b101(0)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37717])).
% 219.12/141.68 tff(37719,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 0) <=> b101(0)))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37718, 37714])).
% 219.12/141.68 tff(37720,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b101(0)))),
% 219.12/141.68 inference(quant_inst,[status(thm)],[])).
% 219.12/141.68 tff(37721,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 0) <=> b101(0))),
% 219.12/141.68 inference(modus_ponens,[status(thm)],[37720, 37719])).
% 219.12/141.68 tff(37722,plain,
% 219.12/141.68 (v124(constB23, 0) <=> b101(0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37721, 37713])).
% 219.12/141.68 tff(37723,plain,
% 219.12/141.68 ((~(v124(constB23, 0) <=> b101(0))) | v124(constB23, 0) | (~b101(0))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37724,plain,
% 219.12/141.68 ((~(v124(constB23, 0) <=> b101(0))) | v124(constB23, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37723, 2042])).
% 219.12/141.68 tff(37725,plain,
% 219.12/141.68 (v124(constB23, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37724, 37722])).
% 219.12/141.68 tff(37726,plain,
% 219.12/141.68 ((~(v121(constB23, 0) <=> v124(constB23, 0))) | v121(constB23, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36462, 37725])).
% 219.12/141.68 tff(37727,plain,
% 219.12/141.68 (v121(constB23, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37726, 37706])).
% 219.12/141.68 tff(37728,plain,
% 219.12/141.68 ((~(v123(constB24, 0) <=> v121(constB23, 0))) | v123(constB24, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36476, 37727])).
% 219.12/141.68 tff(37729,plain,
% 219.12/141.68 (v123(constB24, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37728, 37705])).
% 219.12/141.68 tff(37730,plain,
% 219.12/141.68 (v84(constB24, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36479, 37729, 37704])).
% 219.12/141.68 tff(37731,plain,
% 219.12/141.68 (v84(constB25, 0)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[30626, 37730])).
% 219.12/141.68 tff(37732,plain,
% 219.12/141.68 (v84(constB24, 2) <=> v123(constB24, 2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36312, 37703])).
% 219.12/141.68 tff(37733,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 2) <=> b101(2)))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37734,plain,
% 219.12/141.68 (($false | $false | (v124(constB23, 2) <=> b101(2))) <=> (v124(constB23, 2) <=> b101(2))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37735,plain,
% 219.12/141.68 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b101(2))) <=> ($false | $false | (v124(constB23, 2) <=> b101(2)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[534, 533])).
% 219.12/141.68 tff(37736,plain,
% 219.12/141.68 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b101(2))) <=> (v124(constB23, 2) <=> b101(2))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37735, 37734])).
% 219.12/141.68 tff(37737,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 2) <=> b101(2)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37736])).
% 219.12/141.68 tff(37738,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 2) <=> b101(2)))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37737, 37733])).
% 219.12/141.68 tff(37739,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b101(2)))),
% 219.12/141.68 inference(quant_inst,[status(thm)],[])).
% 219.12/141.68 tff(37740,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 2) <=> b101(2))),
% 219.12/141.68 inference(modus_ponens,[status(thm)],[37739, 37738])).
% 219.12/141.68 tff(37741,plain,
% 219.12/141.68 (v124(constB23, 2) <=> b101(2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37740, 37713])).
% 219.12/141.68 tff(37742,plain,
% 219.12/141.68 ((~(v124(constB23, 2) <=> b101(2))) | v124(constB23, 2) | (~b101(2))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37743,plain,
% 219.12/141.68 ((~(v124(constB23, 2) <=> b101(2))) | v124(constB23, 2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37742, 2354])).
% 219.12/141.68 tff(37744,plain,
% 219.12/141.68 (v124(constB23, 2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37743, 37741])).
% 219.12/141.68 tff(37745,plain,
% 219.12/141.68 ((~(v121(constB23, 2) <=> v124(constB23, 2))) | v121(constB23, 2) | (~v124(constB23, 2))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37746,plain,
% 219.12/141.68 (v121(constB23, 2) | (~v124(constB23, 2))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37745, 36412])).
% 219.12/141.68 tff(37747,plain,
% 219.12/141.68 (v121(constB23, 2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37746, 37744])).
% 219.12/141.68 tff(37748,plain,
% 219.12/141.68 ((~(v123(constB24, 2) <=> v121(constB23, 2))) | v123(constB24, 2) | (~v121(constB23, 2))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37749,plain,
% 219.12/141.68 (v123(constB24, 2) | (~v121(constB23, 2))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37748, 36426])).
% 219.12/141.68 tff(37750,plain,
% 219.12/141.68 (v123(constB24, 2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37749, 37747])).
% 219.12/141.68 tff(37751,plain,
% 219.12/141.68 ((~(v84(constB24, 2) <=> v123(constB24, 2))) | v84(constB24, 2) | (~v123(constB24, 2))),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37752,plain,
% 219.12/141.68 (v84(constB24, 2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37751, 37750, 37732])).
% 219.12/141.68 tff(37753,plain,
% 219.12/141.68 (v84(constB25, 2) | (~v84(constB24, 2))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[30412, 36434])).
% 219.12/141.68 tff(37754,plain,
% 219.12/141.68 (v84(constB25, 2)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37753, 37752])).
% 219.12/141.68 tff(37755,plain,
% 219.12/141.68 (v84(constB24, 1) <=> v123(constB24, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36278, 37703])).
% 219.12/141.68 tff(37756,plain,
% 219.12/141.68 (v121(constB23, 1) <=> v124(constB23, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[36355, 36347])).
% 219.12/141.68 tff(37757,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 1) <=> b101(1)))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37758,plain,
% 219.12/141.68 (($false | $false | (v124(constB23, 1) <=> b101(1))) <=> (v124(constB23, 1) <=> b101(1))),
% 219.12/141.68 inference(rewrite,[status(thm)],[])).
% 219.12/141.68 tff(37759,plain,
% 219.12/141.68 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b101(1))) <=> ($false | $false | (v124(constB23, 1) <=> b101(1)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[402, 401])).
% 219.12/141.68 tff(37760,plain,
% 219.12/141.68 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b101(1))) <=> (v124(constB23, 1) <=> b101(1))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37759, 37758])).
% 219.12/141.68 tff(37761,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 1) <=> b101(1)))),
% 219.12/141.68 inference(monotonicity,[status(thm)],[37760])).
% 219.12/141.68 tff(37762,plain,
% 219.12/141.68 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 1) <=> b101(1)))),
% 219.12/141.68 inference(transitivity,[status(thm)],[37761, 37757])).
% 219.12/141.68 tff(37763,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b101(1)))),
% 219.12/141.68 inference(quant_inst,[status(thm)],[])).
% 219.12/141.68 tff(37764,plain,
% 219.12/141.68 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b101(B)))) | (v124(constB23, 1) <=> b101(1))),
% 219.12/141.68 inference(modus_ponens,[status(thm)],[37763, 37762])).
% 219.12/141.68 tff(37765,plain,
% 219.12/141.68 (v124(constB23, 1) <=> b101(1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37764, 37713])).
% 219.12/141.68 tff(37766,plain,
% 219.12/141.68 ((~(v124(constB23, 1) <=> b101(1))) | (~v124(constB23, 1)) | b101(1)),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37767,plain,
% 219.12/141.68 ((~(v124(constB23, 1) <=> b101(1))) | (~v124(constB23, 1))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37766, 2330])).
% 219.12/141.68 tff(37768,plain,
% 219.12/141.68 (~v124(constB23, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37767, 37765])).
% 219.12/141.68 tff(37769,plain,
% 219.12/141.68 ((~(v121(constB23, 1) <=> v124(constB23, 1))) | (~v121(constB23, 1)) | v124(constB23, 1)),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37770,plain,
% 219.12/141.68 ((~(v121(constB23, 1) <=> v124(constB23, 1))) | (~v121(constB23, 1))),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37769, 37768])).
% 219.12/141.68 tff(37771,plain,
% 219.12/141.68 (~v121(constB23, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37770, 37756])).
% 219.12/141.68 tff(37772,plain,
% 219.12/141.68 ((~(v123(constB24, 1) <=> v121(constB23, 1))) | (~v123(constB24, 1)) | v121(constB23, 1)),
% 219.12/141.68 inference(tautology,[status(thm)],[])).
% 219.12/141.68 tff(37773,plain,
% 219.12/141.68 ((~v123(constB24, 1)) | v121(constB23, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37772, 36378])).
% 219.12/141.68 tff(37774,plain,
% 219.12/141.68 (~v123(constB24, 1)),
% 219.12/141.68 inference(unit_resolution,[status(thm)],[37773, 37771])).
% 219.12/141.68 tff(37775,plain,
% 219.12/141.68 ((~(v84(constB24, 1) <=> v123(constB24, 1))) | (~v84(constB24, 1)) | v123(constB24, 1)),
% 219.14/141.68 inference(tautology,[status(thm)],[])).
% 219.14/141.68 tff(37776,plain,
% 219.14/141.68 (~v84(constB24, 1)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[37775, 37774, 37755])).
% 219.14/141.68 tff(37777,plain,
% 219.14/141.68 ((~(v84(constB25, 1) <=> v84(constB24, 1))) | (~v84(constB25, 1)) | v84(constB24, 1)),
% 219.14/141.68 inference(tautology,[status(thm)],[])).
% 219.14/141.68 tff(37778,plain,
% 219.14/141.68 ((~(v84(constB25, 1) <=> v84(constB24, 1))) | (~v84(constB25, 1))),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[37777, 37776])).
% 219.14/141.68 tff(37779,plain,
% 219.14/141.68 (~v84(constB25, 1)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[37778, 29741])).
% 219.14/141.68 tff(37780,plain,
% 219.14/141.68 (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36720, 37779, 37754, 37731])).
% 219.14/141.68 tff(37781,plain,
% 219.14/141.68 (v118(constB25)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36717, 37780, 30458])).
% 219.14/141.68 tff(37782,plain,
% 219.14/141.68 (v109(constB25) | v118(constB25)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36715, 37781])).
% 219.14/141.68 tff(37783,plain,
% 219.14/141.68 (v108(constB25)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36630, 37782, 30443])).
% 219.14/141.68 tff(37784,plain,
% 219.14/141.68 (v108(constB25) | v119(constB25)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36628, 37783])).
% 219.14/141.68 tff(37785,plain,
% 219.14/141.68 (v107(constB25)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36618, 37784])).
% 219.14/141.68 tff(37786,plain,
% 219.14/141.68 (~((~v107(constB25)) | (~v120(constB25)))),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36615, 37785])).
% 219.14/141.68 tff(37787,plain,
% 219.14/141.68 (v106(constB25)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36607, 37786])).
% 219.14/141.68 tff(37788,plain,
% 219.14/141.68 (v105(constB25) | v106(constB25)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36604, 37787])).
% 219.14/141.68 tff(37789,plain,
% 219.14/141.68 (v102(constB25)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36602, 37788])).
% 219.14/141.68 tff(37790,plain,
% 219.14/141.68 (v104(constB26)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36599, 37789])).
% 219.14/141.68 tff(37791,plain,
% 219.14/141.68 (~((~v95(constB26)) | (~v104(constB26)))),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36596, 37790])).
% 219.14/141.68 tff(37792,plain,
% 219.14/141.68 (v94(constB26)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36565, 37791])).
% 219.14/141.68 tff(37793,plain,
% 219.14/141.68 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36562, 37792])).
% 219.14/141.68 tff(37794,plain,
% 219.14/141.68 (v84(constB26, 0) <=> v123(constB26, 0)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36554, 37793])).
% 219.14/141.68 tff(37795,plain,
% 219.14/141.68 (v121(constB25, 0) <=> v124(constB25, 0)),
% 219.14/141.68 inference(unit_resolution,[status(thm)],[36516, 36508])).
% 219.14/141.68 tff(37796,plain,
% 219.14/141.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B))))),
% 219.14/141.68 inference(rewrite,[status(thm)],[])).
% 219.14/141.68 tff(37797,plain,
% 219.14/141.68 (((~v118(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B))))),
% 219.14/141.68 inference(rewrite,[status(thm)],[])).
% 219.14/141.68 tff(37798,plain,
% 219.14/141.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))))),
% 219.14/141.68 inference(monotonicity,[status(thm)],[37797])).
% 219.14/141.68 tff(37799,plain,
% 219.14/141.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B))))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37798, 37796])).
% 219.14/141.69 tff(37800,plain,
% 219.14/141.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.14/141.69 inference(quant_inst,[status(thm)],[])).
% 219.14/141.69 tff(37801,plain,
% 219.14/141.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))),
% 219.14/141.69 inference(modus_ponens,[status(thm)],[37800, 37799])).
% 219.14/141.69 tff(37802,plain,
% 219.14/141.69 ((~v118(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37801, 1977])).
% 219.14/141.69 tff(37803,plain,
% 219.14/141.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37802, 37781])).
% 219.14/141.69 tff(37804,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 0) <=> b110(0)))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37805,plain,
% 219.14/141.69 (($false | $false | (v124(constB25, 0) <=> b110(0))) <=> (v124(constB25, 0) <=> b110(0))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37806,plain,
% 219.14/141.69 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b110(0))) <=> ($false | $false | (v124(constB25, 0) <=> b110(0)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[250, 249])).
% 219.14/141.69 tff(37807,plain,
% 219.14/141.69 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b110(0))) <=> (v124(constB25, 0) <=> b110(0))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37806, 37805])).
% 219.14/141.69 tff(37808,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 0) <=> b110(0)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[37807])).
% 219.14/141.69 tff(37809,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 0) <=> b110(0)))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37808, 37804])).
% 219.14/141.69 tff(37810,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b110(0)))),
% 219.14/141.69 inference(quant_inst,[status(thm)],[])).
% 219.14/141.69 tff(37811,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 0) <=> b110(0))),
% 219.14/141.69 inference(modus_ponens,[status(thm)],[37810, 37809])).
% 219.14/141.69 tff(37812,plain,
% 219.14/141.69 (v124(constB25, 0) <=> b110(0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37811, 37803])).
% 219.14/141.69 tff(37813,plain,
% 219.14/141.69 ((~(v124(constB25, 0) <=> b110(0))) | (~v124(constB25, 0)) | b110(0)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37814,plain,
% 219.14/141.69 ((~(v124(constB25, 0) <=> b110(0))) | (~v124(constB25, 0))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37813, 3186])).
% 219.14/141.69 tff(37815,plain,
% 219.14/141.69 (~v124(constB25, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37814, 37812])).
% 219.14/141.69 tff(37816,plain,
% 219.14/141.69 ((~(v121(constB25, 0) <=> v124(constB25, 0))) | (~v121(constB25, 0))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36519, 37815])).
% 219.14/141.69 tff(37817,plain,
% 219.14/141.69 (~v121(constB25, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37816, 37795])).
% 219.14/141.69 tff(37818,plain,
% 219.14/141.69 (~v123(constB26, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36541, 37817])).
% 219.14/141.69 tff(37819,plain,
% 219.14/141.69 (~v84(constB26, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36895, 37818, 37794])).
% 219.14/141.69 tff(37820,plain,
% 219.14/141.69 (~v84(constB27, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36899, 37819])).
% 219.14/141.69 tff(37821,plain,
% 219.14/141.69 (v84(constB26, 2) <=> v123(constB26, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36948, 37793])).
% 219.14/141.69 tff(37822,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 2) <=> b110(2)))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37823,plain,
% 219.14/141.69 (($false | $false | (v124(constB25, 2) <=> b110(2))) <=> (v124(constB25, 2) <=> b110(2))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37824,plain,
% 219.14/141.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b110(2))) <=> ($false | $false | (v124(constB25, 2) <=> b110(2)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[534, 533])).
% 219.14/141.69 tff(37825,plain,
% 219.14/141.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b110(2))) <=> (v124(constB25, 2) <=> b110(2))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37824, 37823])).
% 219.14/141.69 tff(37826,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 2) <=> b110(2)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[37825])).
% 219.14/141.69 tff(37827,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 2) <=> b110(2)))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37826, 37822])).
% 219.14/141.69 tff(37828,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b110(2)))),
% 219.14/141.69 inference(quant_inst,[status(thm)],[])).
% 219.14/141.69 tff(37829,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 2) <=> b110(2))),
% 219.14/141.69 inference(modus_ponens,[status(thm)],[37828, 37827])).
% 219.14/141.69 tff(37830,plain,
% 219.14/141.69 (v124(constB25, 2) <=> b110(2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37829, 37803])).
% 219.14/141.69 tff(37831,plain,
% 219.14/141.69 ((~(v124(constB25, 2) <=> b110(2))) | v124(constB25, 2) | (~b110(2))),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37832,plain,
% 219.14/141.69 ((~(v124(constB25, 2) <=> b110(2))) | v124(constB25, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37831, 1598])).
% 219.14/141.69 tff(37833,plain,
% 219.14/141.69 (v124(constB25, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37832, 37830])).
% 219.14/141.69 tff(37834,plain,
% 219.14/141.69 (v121(constB25, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36974, 37833])).
% 219.14/141.69 tff(37835,plain,
% 219.14/141.69 (v123(constB26, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36988, 37834])).
% 219.14/141.69 tff(37836,plain,
% 219.14/141.69 (v84(constB26, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36990, 37835, 37821])).
% 219.14/141.69 tff(37837,plain,
% 219.14/141.69 (v84(constB27, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36995, 37836])).
% 219.14/141.69 tff(37838,plain,
% 219.14/141.69 (((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)) | (~v84(constB27, 2))),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37839,plain,
% 219.14/141.69 ((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37838, 37837])).
% 219.14/141.69 tff(37840,plain,
% 219.14/141.69 (v84(constB26, 1) <=> v123(constB26, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36846, 37793])).
% 219.14/141.69 tff(37841,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 1) <=> b110(1)))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37842,plain,
% 219.14/141.69 (($false | $false | (v124(constB25, 1) <=> b110(1))) <=> (v124(constB25, 1) <=> b110(1))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37843,plain,
% 219.14/141.69 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b110(1))) <=> ($false | $false | (v124(constB25, 1) <=> b110(1)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[402, 401])).
% 219.14/141.69 tff(37844,plain,
% 219.14/141.69 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b110(1))) <=> (v124(constB25, 1) <=> b110(1))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37843, 37842])).
% 219.14/141.69 tff(37845,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 1) <=> b110(1)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[37844])).
% 219.14/141.69 tff(37846,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 1) <=> b110(1)))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37845, 37841])).
% 219.14/141.69 tff(37847,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b110(1)))),
% 219.14/141.69 inference(quant_inst,[status(thm)],[])).
% 219.14/141.69 tff(37848,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | (v124(constB25, 1) <=> b110(1))),
% 219.14/141.69 inference(modus_ponens,[status(thm)],[37847, 37846])).
% 219.14/141.69 tff(37849,plain,
% 219.14/141.69 (v124(constB25, 1) <=> b110(1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37848, 37803])).
% 219.14/141.69 tff(37850,plain,
% 219.14/141.69 ((~(v124(constB25, 1) <=> b110(1))) | v124(constB25, 1) | (~b110(1))),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37851,plain,
% 219.14/141.69 ((~(v124(constB25, 1) <=> b110(1))) | v124(constB25, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37850, 1662])).
% 219.14/141.69 tff(37852,plain,
% 219.14/141.69 (v124(constB25, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37851, 37849])).
% 219.14/141.69 tff(37853,plain,
% 219.14/141.69 ((~(v121(constB25, 1) <=> v124(constB25, 1))) | v121(constB25, 1) | (~v124(constB25, 1))),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37854,plain,
% 219.14/141.69 ((~(v121(constB25, 1) <=> v124(constB25, 1))) | v121(constB25, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37853, 37852])).
% 219.14/141.69 tff(37855,plain,
% 219.14/141.69 (v121(constB25, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37854, 36800])).
% 219.14/141.69 tff(37856,plain,
% 219.14/141.69 ((~(v123(constB26, 1) <=> v121(constB25, 1))) | v123(constB26, 1) | (~v121(constB25, 1))),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37857,plain,
% 219.14/141.69 ((~(v123(constB26, 1) <=> v121(constB25, 1))) | v123(constB26, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37856, 37855])).
% 219.14/141.69 tff(37858,plain,
% 219.14/141.69 (v123(constB26, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37857, 36791])).
% 219.14/141.69 tff(37859,plain,
% 219.14/141.69 ((~(v84(constB26, 1) <=> v123(constB26, 1))) | v84(constB26, 1) | (~v123(constB26, 1))),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37860,plain,
% 219.14/141.69 ((~(v84(constB26, 1) <=> v123(constB26, 1))) | v84(constB26, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37859, 37858])).
% 219.14/141.69 tff(37861,plain,
% 219.14/141.69 (v84(constB26, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37860, 37840])).
% 219.14/141.69 tff(37862,plain,
% 219.14/141.69 (v84(constB27, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[30607, 37861])).
% 219.14/141.69 tff(37863,plain,
% 219.14/141.69 (~((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37134, 37862, 37839, 37820])).
% 219.14/141.69 tff(37864,plain,
% 219.14/141.69 (v119(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37112, 37863])).
% 219.14/141.69 tff(37865,plain,
% 219.14/141.69 (v108(constB27) | v119(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37109, 37864])).
% 219.14/141.69 tff(37866,plain,
% 219.14/141.69 (v107(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37066, 37865])).
% 219.14/141.69 tff(37867,plain,
% 219.14/141.69 (~((~v107(constB27)) | (~v120(constB27)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31017, 37866])).
% 219.14/141.69 tff(37868,plain,
% 219.14/141.69 (v106(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31009, 37867])).
% 219.14/141.69 tff(37869,plain,
% 219.14/141.69 (v105(constB27) | v106(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35053, 37868])).
% 219.14/141.69 tff(37870,plain,
% 219.14/141.69 (v102(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35056, 37869])).
% 219.14/141.69 tff(37871,plain,
% 219.14/141.69 (v104(constB28)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35059, 37870])).
% 219.14/141.69 tff(37872,plain,
% 219.14/141.69 (~((~v95(constB28)) | (~v104(constB28)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35090, 37871])).
% 219.14/141.69 tff(37873,plain,
% 219.14/141.69 (v94(constB28)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35093, 37872])).
% 219.14/141.69 tff(37874,plain,
% 219.14/141.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35101, 37873])).
% 219.14/141.69 tff(37875,assumption,(~(v84(constB28, 2) <=> v123(constB28, 2))), introduced(assumption)).
% 219.14/141.69 tff(37876,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35288, 36152, 37875])).
% 219.14/141.69 tff(37877,plain,((v84(constB28, 2) <=> v123(constB28, 2)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(37878,plain,
% 219.14/141.69 (v84(constB28, 2) <=> v123(constB28, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37877, 37874])).
% 219.14/141.69 tff(37879,assumption,(~(v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))))), introduced(assumption)).
% 219.14/141.69 tff(37880,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[30717, 622, 37879])).
% 219.14/141.69 tff(37881,plain,(v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(37882,plain,
% 219.14/141.69 ((~v115(constB27)) | (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[30721, 37881])).
% 219.14/141.69 tff(37883,plain,
% 219.14/141.69 (~v115(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37882, 37839])).
% 219.14/141.69 tff(37884,plain,
% 219.14/141.69 (v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36144, 37862])).
% 219.14/141.69 tff(37885,plain,
% 219.14/141.69 (~v117(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[30678, 37884])).
% 219.14/141.69 tff(37886,plain,
% 219.14/141.69 (((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)) | v84(constB27, 0)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37887,plain,
% 219.14/141.69 ((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37886, 35260])).
% 219.14/141.69 tff(37888,plain,
% 219.14/141.69 ((~(v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))))) | (~v116(constB27))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[30767, 37887])).
% 219.14/141.69 tff(37889,plain,
% 219.14/141.69 (~v116(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37888, 30735])).
% 219.14/141.69 tff(37890,assumption,(~v115(constB27)), introduced(assumption)).
% 219.14/141.69 tff(37891,assumption,(~v117(constB27)), introduced(assumption)).
% 219.14/141.69 tff(37892,plain,
% 219.14/141.69 ((v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)) | v84(constB27, 0)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37893,plain,
% 219.14/141.69 (v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37892, 35260])).
% 219.14/141.69 tff(37894,plain,
% 219.14/141.69 ((~(v114(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))))) | (~v114(constB27))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[30704, 37893])).
% 219.14/141.69 tff(37895,plain,
% 219.14/141.69 (~v114(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37894, 30701])).
% 219.14/141.69 tff(37896,plain,
% 219.14/141.69 (v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35273, 37891])).
% 219.14/141.69 tff(37897,plain,
% 219.14/141.69 (v113(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[30689, 597])).
% 219.14/141.69 tff(37898,plain,
% 219.14/141.69 (~v113(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35126, 35118])).
% 219.14/141.69 tff(37899,plain,
% 219.14/141.69 ((~(v113(constB27) <=> (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))))) | (v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35148, 37898])).
% 219.14/141.69 tff(37900,plain,
% 219.14/141.69 (v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37899, 37897])).
% 219.14/141.69 tff(37901,plain,
% 219.14/141.69 (v84(constB27, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35264, 35260, 37900, 37896])).
% 219.14/141.69 tff(37902,plain,
% 219.14/141.69 (v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[30661, 37901])).
% 219.14/141.69 tff(37903,plain,
% 219.14/141.69 ((~(v118(constB27) <=> (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))))) | (~v118(constB27))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[30663, 37902])).
% 219.14/141.69 tff(37904,plain,
% 219.14/141.69 (~v118(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37903, 30660])).
% 219.14/141.69 tff(37905,plain,
% 219.14/141.69 (v114(constB27) | v115(constB27) | v116(constB27) | v117(constB27) | v118(constB27)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35394, 1807, 35118, 37898])).
% 219.14/141.69 tff(37906,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37905, 37904, 37895, 37891, 37890, 37889])).
% 219.14/141.69 tff(37907,plain,(v84(constB27, 0) | v117(constB27) | v115(constB27) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(37908,plain,
% 219.14/141.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37907, 37885, 37883, 37820])).
% 219.14/141.69 tff(37909,assumption,(v124(constB27, 2)), introduced(assumption)).
% 219.14/141.69 tff(37910,plain,
% 219.14/141.69 ((~(v124(constB27, 2) <=> b001(2))) | (~v124(constB27, 2)) | b001(2)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37911,plain,
% 219.14/141.69 (~(v124(constB27, 2) <=> b001(2))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37910, 1831, 37909])).
% 219.14/141.69 tff(37912,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 2) <=> b001(2)))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37913,plain,
% 219.14/141.69 (($false | $false | (v124(constB27, 2) <=> b001(2))) <=> (v124(constB27, 2) <=> b001(2))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37914,plain,
% 219.14/141.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b001(2))) <=> ($false | $false | (v124(constB27, 2) <=> b001(2)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[534, 533])).
% 219.14/141.69 tff(37915,plain,
% 219.14/141.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b001(2))) <=> (v124(constB27, 2) <=> b001(2))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37914, 37913])).
% 219.14/141.69 tff(37916,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 2) <=> b001(2)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[37915])).
% 219.14/141.69 tff(37917,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 2) <=> b001(2)))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37916, 37912])).
% 219.14/141.69 tff(37918,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB27, 2) <=> b001(2)))),
% 219.14/141.69 inference(quant_inst,[status(thm)],[])).
% 219.14/141.69 tff(37919,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 2) <=> b001(2))),
% 219.14/141.69 inference(modus_ponens,[status(thm)],[37918, 37917])).
% 219.14/141.69 tff(37920,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37919, 35131, 37911])).
% 219.14/141.69 tff(37921,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (~v124(constB27, 2))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(37922,plain,
% 219.14/141.69 (~v124(constB27, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37921, 37908])).
% 219.14/141.69 tff(37923,plain,
% 219.14/141.69 ((~(v121(constB27, 2) <=> v124(constB27, 2))) | (~v121(constB27, 2)) | v124(constB27, 2)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37924,plain,
% 219.14/141.69 ((~(v121(constB27, 2) <=> v124(constB27, 2))) | (~v121(constB27, 2))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37923, 37922])).
% 219.14/141.69 tff(37925,plain,
% 219.14/141.69 (~v121(constB27, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37924, 34987])).
% 219.14/141.69 tff(37926,assumption,(~(v123(constB28, 2) <=> v121(constB27, 2))), introduced(assumption)).
% 219.14/141.69 tff(37927,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35002, 34994, 37926])).
% 219.14/141.69 tff(37928,plain,(v123(constB28, 2) <=> v121(constB27, 2)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(37929,plain,
% 219.14/141.69 ((~(v123(constB28, 2) <=> v121(constB27, 2))) | (~v123(constB28, 2)) | v121(constB27, 2)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37930,plain,
% 219.14/141.69 ((~v123(constB28, 2)) | v121(constB27, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37929, 37928])).
% 219.14/141.69 tff(37931,plain,
% 219.14/141.69 (~v123(constB28, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37930, 37925])).
% 219.14/141.69 tff(37932,plain,
% 219.14/141.69 ((~(v84(constB28, 2) <=> v123(constB28, 2))) | (~v84(constB28, 2)) | v123(constB28, 2)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37933,plain,
% 219.14/141.69 (~v84(constB28, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37932, 37931, 37878])).
% 219.14/141.69 tff(37934,plain,
% 219.14/141.69 (v84(constB28, 1) <=> v123(constB28, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36154, 37874])).
% 219.14/141.69 tff(37935,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 1) <=> b001(1)))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37936,plain,
% 219.14/141.69 (($false | $false | (v124(constB27, 1) <=> b001(1))) <=> (v124(constB27, 1) <=> b001(1))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37937,plain,
% 219.14/141.69 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b001(1))) <=> ($false | $false | (v124(constB27, 1) <=> b001(1)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[402, 401])).
% 219.14/141.69 tff(37938,plain,
% 219.14/141.69 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b001(1))) <=> (v124(constB27, 1) <=> b001(1))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37937, 37936])).
% 219.14/141.69 tff(37939,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 1) <=> b001(1)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[37938])).
% 219.14/141.69 tff(37940,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 1) <=> b001(1)))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37939, 37935])).
% 219.14/141.69 tff(37941,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b001(1)))),
% 219.14/141.69 inference(quant_inst,[status(thm)],[])).
% 219.14/141.69 tff(37942,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b001(B)))) | (v124(constB27, 1) <=> b001(1))),
% 219.14/141.69 inference(modus_ponens,[status(thm)],[37941, 37940])).
% 219.14/141.69 tff(37943,plain,
% 219.14/141.69 (v124(constB27, 1) <=> b001(1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37942, 37908])).
% 219.14/141.69 tff(37944,plain,
% 219.14/141.69 ((~(v124(constB27, 1) <=> b001(1))) | (~v124(constB27, 1)) | b001(1)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37945,plain,
% 219.14/141.69 ((~(v124(constB27, 1) <=> b001(1))) | (~v124(constB27, 1))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37944, 1885])).
% 219.14/141.69 tff(37946,plain,
% 219.14/141.69 (~v124(constB27, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37945, 37943])).
% 219.14/141.69 tff(37947,plain,
% 219.14/141.69 ((~(v121(constB27, 1) <=> v124(constB27, 1))) | (~v121(constB27, 1))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36167, 37946])).
% 219.14/141.69 tff(37948,plain,
% 219.14/141.69 (~v121(constB27, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37947, 35188])).
% 219.14/141.69 tff(37949,plain,
% 219.14/141.69 (~v123(constB28, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36162, 37948])).
% 219.14/141.69 tff(37950,plain,
% 219.14/141.69 (~v84(constB28, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36156, 37949, 37934])).
% 219.14/141.69 tff(37951,plain,
% 219.14/141.69 (v84(constB28, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35413, 37950, 37933])).
% 219.14/141.69 tff(37952,plain,
% 219.14/141.69 ((~v84(constB29, 2)) | v84(constB28, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[30968, 30891])).
% 219.14/141.69 tff(37953,plain,
% 219.14/141.69 (~v84(constB29, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37952, 37933])).
% 219.14/141.69 tff(37954,plain,
% 219.14/141.69 (~v84(constB29, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36140, 37950])).
% 219.14/141.69 tff(37955,plain,
% 219.14/141.69 (~v84(constB29, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35431, 37954, 35427, 37953])).
% 219.14/141.69 tff(37956,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[34965, 37955, 37951])).
% 219.14/141.69 tff(37957,plain,((~v117(constB23)) | (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(37958,plain,
% 219.14/141.69 (~v117(constB23)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37957, 37686])).
% 219.14/141.69 tff(37959,assumption,(~(v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))), introduced(assumption)).
% 219.14/141.69 tff(37960,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[29979, 656, 37959])).
% 219.14/141.69 tff(37961,plain,(v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(37962,plain,
% 219.14/141.69 ((~(v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))) | v117(constB23) | (v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37963,plain,
% 219.14/141.69 (v117(constB23) | (v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37962, 37961])).
% 219.14/141.69 tff(37964,plain,
% 219.14/141.69 (v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37963, 37958])).
% 219.14/141.69 tff(37965,plain,
% 219.14/141.69 (v102(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31311, 34369])).
% 219.14/141.69 tff(37966,plain,
% 219.14/141.69 (v105(constB31) | v106(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31301, 37965])).
% 219.14/141.69 tff(37967,plain,
% 219.14/141.69 (v106(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31296, 37966])).
% 219.14/141.69 tff(37968,plain,
% 219.14/141.69 (~((~v107(constB31)) | (~v120(constB31)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31286, 37967])).
% 219.14/141.69 tff(37969,plain,
% 219.14/141.69 (v107(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31281, 37968])).
% 219.14/141.69 tff(37970,plain,
% 219.14/141.69 (v108(constB31) | v119(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37199, 37969])).
% 219.14/141.69 tff(37971,plain,
% 219.14/141.69 (~(v108(constB29) | v119(constB29))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35459, 37457])).
% 219.14/141.69 tff(37972,plain,
% 219.14/141.69 (v84(constB29, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35416, 37971])).
% 219.14/141.69 tff(37973,plain,
% 219.14/141.69 ((~(v84(constB30, 0) <=> v84(constB29, 0))) | v84(constB30, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31166, 37972])).
% 219.14/141.69 tff(37974,plain,
% 219.14/141.69 (v84(constB30, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37973, 37493])).
% 219.14/141.69 tff(37975,plain,
% 219.14/141.69 (v84(constB31, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35745, 37974])).
% 219.14/141.69 tff(37976,plain,
% 219.14/141.69 (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31189, 37975])).
% 219.14/141.69 tff(37977,plain,
% 219.14/141.69 (~v115(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36084, 37976])).
% 219.14/141.69 tff(37978,plain,
% 219.14/141.69 (v84(constB30, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37448, 37469])).
% 219.14/141.69 tff(37979,plain,
% 219.14/141.69 (v84(constB31, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35983, 37978])).
% 219.14/141.69 tff(37980,plain,
% 219.14/141.69 (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35985, 37979])).
% 219.14/141.69 tff(37981,plain,
% 219.14/141.69 (~v113(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36102, 37980])).
% 219.14/141.69 tff(37982,plain,
% 219.14/141.69 (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31141, 37979])).
% 219.14/141.69 tff(37983,plain,
% 219.14/141.69 (~v114(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36099, 37982])).
% 219.14/141.69 tff(37984,plain,
% 219.14/141.69 (~(v113(constB31) | v114(constB31))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31177, 37983, 37981])).
% 219.14/141.69 tff(37985,plain,
% 219.14/141.69 ((~(v112(constB31) <=> (v113(constB31) | v114(constB31)))) | (~v112(constB31))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31179, 37984])).
% 219.14/141.69 tff(37986,plain,
% 219.14/141.69 (~v112(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37985, 29589])).
% 219.14/141.69 tff(37987,plain,
% 219.14/141.69 (~(v112(constB31) | v115(constB31))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31194, 37986, 37977])).
% 219.14/141.69 tff(37988,plain,
% 219.14/141.69 (~v111(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31197, 37987, 29587])).
% 219.14/141.69 tff(37989,plain,
% 219.14/141.69 (v84(constB29, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35453, 37971])).
% 219.14/141.69 tff(37990,plain,
% 219.14/141.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37502, 37977, 37453, 37989, 37983])).
% 219.14/141.69 tff(37991,plain,
% 219.14/141.69 (~v124(constB31, 2)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36128, 37990])).
% 219.14/141.69 tff(37992,assumption,(~v124(constB31, 2)), introduced(assumption)).
% 219.14/141.69 tff(37993,plain,
% 219.14/141.69 ((~(v124(constB31, 2) <=> b100(2))) | v124(constB31, 2) | (~b100(2))),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(37994,plain,
% 219.14/141.69 (~(v124(constB31, 2) <=> b100(2))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[37993, 2250, 37992])).
% 219.14/141.69 tff(37995,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))), introduced(assumption)).
% 219.14/141.69 tff(37996,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | (v124(constB31, 2) <=> b100(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | (v124(constB31, 2) <=> b100(2)))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37997,plain,
% 219.14/141.69 (($false | $false | (v124(constB31, 2) <=> b100(2))) <=> (v124(constB31, 2) <=> b100(2))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(37998,plain,
% 219.14/141.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b100(2))) <=> ($false | $false | (v124(constB31, 2) <=> b100(2)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[534, 533])).
% 219.14/141.69 tff(37999,plain,
% 219.14/141.69 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b100(2))) <=> (v124(constB31, 2) <=> b100(2))),
% 219.14/141.69 inference(transitivity,[status(thm)],[37998, 37997])).
% 219.14/141.69 tff(38000,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | (v124(constB31, 2) <=> b100(2)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[37999])).
% 219.14/141.69 tff(38001,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b100(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | (v124(constB31, 2) <=> b100(2)))),
% 219.14/141.69 inference(transitivity,[status(thm)],[38000, 37996])).
% 219.14/141.69 tff(38002,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b100(2)))),
% 219.14/141.69 inference(quant_inst,[status(thm)],[])).
% 219.14/141.69 tff(38003,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | (v124(constB31, 2) <=> b100(2))),
% 219.14/141.69 inference(modus_ponens,[status(thm)],[38002, 38001])).
% 219.14/141.69 tff(38004,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38003, 37995, 37994])).
% 219.14/141.69 tff(38005,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | v124(constB31, 2)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(38006,plain,
% 219.14/141.69 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38005, 37991])).
% 219.14/141.69 tff(38007,assumption,(v116(constB31)), introduced(assumption)).
% 219.14/141.69 tff(38008,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))), introduced(assumption)).
% 219.14/141.69 tff(38009,plain,
% 219.14/141.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B))))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(38010,plain,
% 219.14/141.69 (((~v116(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B))))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(38011,plain,
% 219.14/141.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[38010])).
% 219.14/141.69 tff(38012,plain,
% 219.14/141.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B))))),
% 219.14/141.69 inference(transitivity,[status(thm)],[38011, 38009])).
% 219.14/141.69 tff(38013,plain,
% 219.14/141.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.14/141.69 inference(quant_inst,[status(thm)],[])).
% 219.14/141.69 tff(38014,plain,
% 219.14/141.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))),
% 219.14/141.69 inference(modus_ponens,[status(thm)],[38013, 38012])).
% 219.14/141.69 tff(38015,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38014, 2230, 38008, 38007])).
% 219.14/141.69 tff(38016,plain,((~v116(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(38017,plain,
% 219.14/141.69 (~v116(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38016, 38006])).
% 219.14/141.69 tff(38018,plain,
% 219.14/141.69 ((~(v111(constB31) | v116(constB31))) | v111(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31235, 38017])).
% 219.14/141.69 tff(38019,plain,
% 219.14/141.69 (~(v111(constB31) | v116(constB31))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38018, 37988])).
% 219.14/141.69 tff(38020,assumption,(v108(constB31) | v119(constB31)), introduced(assumption)).
% 219.14/141.69 tff(38021,plain,
% 219.14/141.69 (v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31271, 37975])).
% 219.14/141.69 tff(38022,plain,
% 219.14/141.69 (~v119(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31273, 38021, 31270])).
% 219.14/141.69 tff(38023,plain,
% 219.14/141.69 (v108(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31276, 38022, 38020])).
% 219.14/141.69 tff(38024,plain,
% 219.14/141.69 ((~(v108(constB31) <=> (v109(constB31) | v118(constB31)))) | (v109(constB31) | v118(constB31))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31267, 38023])).
% 219.14/141.69 tff(38025,plain,
% 219.14/141.69 (v109(constB31) | v118(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38024, 29581])).
% 219.14/141.69 tff(38026,plain,
% 219.14/141.69 (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31259, 37979])).
% 219.14/141.69 tff(38027,plain,
% 219.14/141.69 ((~v118(constB31)) | (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31261, 35562])).
% 219.14/141.69 tff(38028,plain,
% 219.14/141.69 (~v118(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38027, 38026])).
% 219.14/141.69 tff(38029,plain,
% 219.14/141.69 ((~(v109(constB31) | v118(constB31))) | v109(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31264, 38028])).
% 219.14/141.69 tff(38030,plain,
% 219.14/141.69 (v109(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38029, 38025])).
% 219.14/141.69 tff(38031,plain,
% 219.14/141.69 (v110(constB31) | v117(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31250, 38030, 29583])).
% 219.14/141.69 tff(38032,plain,
% 219.14/141.69 (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36088, 37979])).
% 219.14/141.69 tff(38033,plain,
% 219.14/141.69 (~v117(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[36093, 38032])).
% 219.14/141.69 tff(38034,plain,
% 219.14/141.69 ((~(v110(constB31) | v117(constB31))) | v110(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31247, 38033])).
% 219.14/141.69 tff(38035,plain,
% 219.14/141.69 (v110(constB31)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38034, 38031])).
% 219.14/141.69 tff(38036,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[31238, 38035, 38019, 29585])).
% 219.14/141.69 tff(38037,plain,(v102(constB29) | (~(v108(constB31) | v119(constB31)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(38038,plain,
% 219.14/141.69 (v102(constB29)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38037, 37970])).
% 219.14/141.69 tff(38039,plain,
% 219.14/141.69 (v104(constB30)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35478, 38038])).
% 219.14/141.69 tff(38040,plain,
% 219.14/141.69 (~((~v95(constB30)) | (~v104(constB30)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35509, 38039])).
% 219.14/141.69 tff(38041,plain,
% 219.14/141.69 (v94(constB30)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35512, 38040])).
% 219.14/141.69 tff(38042,plain,
% 219.14/141.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35520, 38041])).
% 219.14/141.69 tff(38043,plain,
% 219.14/141.69 (v84(constB30, 1) <=> v123(constB30, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35545, 38042])).
% 219.14/141.69 tff(38044,plain,
% 219.14/141.69 (v84(constB30, 0) <=> v123(constB30, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35557, 38042])).
% 219.14/141.69 tff(38045,plain,
% 219.14/141.69 (~v117(constB29)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[35748, 38044, 37036, 38043])).
% 219.14/141.69 tff(38046,plain,
% 219.14/141.69 ((~(v124(constB31, 0) <=> b100(0))) | (~v124(constB31, 0)) | b100(0)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(38047,plain,
% 219.14/141.69 (~(v124(constB31, 0) <=> b100(0))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38046, 3674, 34820])).
% 219.14/141.69 tff(38048,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | (v124(constB31, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | (v124(constB31, 0) <=> b100(0)))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(38049,plain,
% 219.14/141.69 (($false | $false | (v124(constB31, 0) <=> b100(0))) <=> (v124(constB31, 0) <=> b100(0))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(38050,plain,
% 219.14/141.69 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b100(0))) <=> ($false | $false | (v124(constB31, 0) <=> b100(0)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[250, 249])).
% 219.14/141.69 tff(38051,plain,
% 219.14/141.69 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b100(0))) <=> (v124(constB31, 0) <=> b100(0))),
% 219.14/141.69 inference(transitivity,[status(thm)],[38050, 38049])).
% 219.14/141.69 tff(38052,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | (v124(constB31, 0) <=> b100(0)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[38051])).
% 219.14/141.69 tff(38053,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | (v124(constB31, 0) <=> b100(0)))),
% 219.14/141.69 inference(transitivity,[status(thm)],[38052, 38048])).
% 219.14/141.69 tff(38054,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB31, 0) <=> b100(0)))),
% 219.14/141.69 inference(quant_inst,[status(thm)],[])).
% 219.14/141.69 tff(38055,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | (v124(constB31, 0) <=> b100(0))),
% 219.14/141.69 inference(modus_ponens,[status(thm)],[38054, 38053])).
% 219.14/141.69 tff(38056,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38055, 37995, 38047])).
% 219.14/141.69 tff(38057,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))) | (~v124(constB31, 0))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(38058,plain,
% 219.14/141.69 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38057, 34819])).
% 219.14/141.69 tff(38059,plain,
% 219.14/141.69 ((v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))) | v84(constB39, 1)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(38060,plain,
% 219.14/141.69 (v84(constB39, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38059, 29251])).
% 219.14/141.69 tff(38061,assumption,(~(v84(constB39, 1) <=> v84(constB38, 1))), introduced(assumption)).
% 219.14/141.69 tff(38062,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[29195, 28905, 38061])).
% 219.14/141.69 tff(38063,plain,(v84(constB39, 1) <=> v84(constB38, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(38064,plain,
% 219.14/141.69 ((~(v84(constB39, 1) <=> v84(constB38, 1))) | (~v84(constB39, 1)) | v84(constB38, 1)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(38065,plain,
% 219.14/141.69 ((~v84(constB39, 1)) | v84(constB38, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38064, 38063])).
% 219.14/141.69 tff(38066,plain,
% 219.14/141.69 (v84(constB38, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38065, 38060])).
% 219.14/141.69 tff(38067,assumption,(v84(constB38, 1)), introduced(assumption)).
% 219.14/141.69 tff(38068,assumption,(v116(constB35)), introduced(assumption)).
% 219.14/141.69 tff(38069,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))), introduced(assumption)).
% 219.14/141.69 tff(38070,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33395, 2230, 38069, 38068])).
% 219.14/141.69 tff(38071,plain,((~v116(constB35)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(38072,plain,
% 219.14/141.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38071, 38068])).
% 219.14/141.69 tff(38073,plain,
% 219.14/141.69 ((~(v124(constB35, 1) <=> b100(1))) | (~v124(constB35, 1)) | b100(1)),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(38074,plain,
% 219.14/141.69 (~(v124(constB35, 1) <=> b100(1))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38073, 2274, 34618])).
% 219.14/141.69 tff(38075,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 1) <=> b100(1)))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(38076,plain,
% 219.14/141.69 (($false | $false | (v124(constB35, 1) <=> b100(1))) <=> (v124(constB35, 1) <=> b100(1))),
% 219.14/141.69 inference(rewrite,[status(thm)],[])).
% 219.14/141.69 tff(38077,plain,
% 219.14/141.69 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b100(1))) <=> ($false | $false | (v124(constB35, 1) <=> b100(1)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[402, 401])).
% 219.14/141.69 tff(38078,plain,
% 219.14/141.69 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b100(1))) <=> (v124(constB35, 1) <=> b100(1))),
% 219.14/141.69 inference(transitivity,[status(thm)],[38077, 38076])).
% 219.14/141.69 tff(38079,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 1) <=> b100(1)))),
% 219.14/141.69 inference(monotonicity,[status(thm)],[38078])).
% 219.14/141.69 tff(38080,plain,
% 219.14/141.69 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 1) <=> b100(1)))),
% 219.14/141.69 inference(transitivity,[status(thm)],[38079, 38075])).
% 219.14/141.69 tff(38081,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB35, 1) <=> b100(1)))),
% 219.14/141.69 inference(quant_inst,[status(thm)],[])).
% 219.14/141.69 tff(38082,plain,
% 219.14/141.69 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 1) <=> b100(1))),
% 219.14/141.69 inference(modus_ponens,[status(thm)],[38081, 38080])).
% 219.14/141.69 tff(38083,plain,
% 219.14/141.69 ($false),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38082, 33378, 38074])).
% 219.14/141.69 tff(38084,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (~v124(constB35, 1))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.69 tff(38085,plain,
% 219.14/141.69 (~v124(constB35, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38084, 38072])).
% 219.14/141.69 tff(38086,plain,
% 219.14/141.69 (~v121(constB35, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[34616, 38085])).
% 219.14/141.69 tff(38087,plain,
% 219.14/141.69 (~v123(constB36, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[34613, 38086])).
% 219.14/141.69 tff(38088,plain,
% 219.14/141.69 ((v111(constB35) | v116(constB35)) | (~v116(constB35))),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(38089,plain,
% 219.14/141.69 (v111(constB35) | v116(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38088, 38068])).
% 219.14/141.69 tff(38090,plain,
% 219.14/141.69 ((~(v110(constB35) <=> (v111(constB35) | v116(constB35)))) | v110(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33147, 38089])).
% 219.14/141.69 tff(38091,plain,
% 219.14/141.69 (v110(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38090, 31974])).
% 219.14/141.69 tff(38092,plain,
% 219.14/141.69 (v110(constB35) | v117(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33145, 38091])).
% 219.14/141.69 tff(38093,plain,
% 219.14/141.69 (v109(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33138, 38092, 31972])).
% 219.14/141.69 tff(38094,plain,
% 219.14/141.69 (v109(constB35) | v118(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33136, 38093])).
% 219.14/141.69 tff(38095,plain,
% 219.14/141.69 (v108(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33134, 38094, 31970])).
% 219.14/141.69 tff(38096,plain,
% 219.14/141.69 (v108(constB35) | v119(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33132, 38095])).
% 219.14/141.69 tff(38097,plain,
% 219.14/141.69 (v107(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33125, 38096])).
% 219.14/141.69 tff(38098,plain,
% 219.14/141.69 (~((~v107(constB35)) | (~v120(constB35)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33119, 38097])).
% 219.14/141.69 tff(38099,plain,
% 219.14/141.69 (v106(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33111, 38098])).
% 219.14/141.69 tff(38100,plain,
% 219.14/141.69 (v105(constB35) | v106(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33108, 38099])).
% 219.14/141.69 tff(38101,plain,
% 219.14/141.69 (v102(constB35)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33106, 38100])).
% 219.14/141.69 tff(38102,plain,
% 219.14/141.69 (v104(constB36)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33103, 38101])).
% 219.14/141.69 tff(38103,plain,
% 219.14/141.69 (~((~v95(constB36)) | (~v104(constB36)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33100, 38102])).
% 219.14/141.69 tff(38104,plain,
% 219.14/141.69 (v94(constB36)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33069, 38103])).
% 219.14/141.69 tff(38105,plain,
% 219.14/141.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33210, 38104])).
% 219.14/141.69 tff(38106,plain,
% 219.14/141.69 (v84(constB36, 1) <=> v123(constB36, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33223, 38105])).
% 219.14/141.69 tff(38107,plain,
% 219.14/141.69 (~v84(constB36, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[34610, 38106, 38087])).
% 219.14/141.69 tff(38108,plain,
% 219.14/141.69 (~v84(constB37, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[33404, 38107])).
% 219.14/141.69 tff(38109,assumption,(~v84(constB37, 1)), introduced(assumption)).
% 219.14/141.69 tff(38110,assumption,(~v102(constB37)), introduced(assumption)).
% 219.14/141.69 tff(38111,plain,
% 219.14/141.69 (~v104(constB38)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[32454, 38110])).
% 219.14/141.69 tff(38112,plain,
% 219.14/141.69 ((~v95(constB38)) | (~v104(constB38))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[32456, 38111])).
% 219.14/141.69 tff(38113,plain,
% 219.14/141.69 (~v94(constB38)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[32459, 38112])).
% 219.14/141.69 tff(38114,plain,
% 219.14/141.69 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v84(constB37, B)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[32467, 38113])).
% 219.14/141.69 tff(38115,plain,
% 219.14/141.69 (v84(constB38, 1) <=> v84(constB37, 1)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[32476, 38114])).
% 219.14/141.69 tff(38116,plain,
% 219.14/141.69 (~(v105(constB37) | v106(constB37))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[28992, 38110])).
% 219.14/141.69 tff(38117,plain,
% 219.14/141.69 (~v106(constB37)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[28987, 38116])).
% 219.14/141.69 tff(38118,plain,
% 219.14/141.69 ((~v107(constB37)) | (~v120(constB37))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[28985, 38117])).
% 219.14/141.69 tff(38119,plain,
% 219.14/141.69 (~v107(constB37)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[28980, 38118])).
% 219.14/141.69 tff(38120,plain,
% 219.14/141.69 (~(v108(constB37) | v119(constB37))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[28965, 38119])).
% 219.14/141.69 tff(38121,plain,
% 219.14/141.69 (~v108(constB37)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[28960, 38120])).
% 219.14/141.69 tff(38122,plain,
% 219.14/141.69 (v108(constB37) | (~(v109(constB37) | v118(constB37)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[28943, 28918])).
% 219.14/141.69 tff(38123,plain,
% 219.14/141.69 (~(v109(constB37) | v118(constB37))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38122, 38121])).
% 219.14/141.69 tff(38124,plain,
% 219.14/141.69 (~v109(constB37)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[28946, 38123])).
% 219.14/141.69 tff(38125,plain,
% 219.14/141.69 ((~(v109(constB37) <=> (v110(constB37) | v117(constB37)))) | (~(v110(constB37) | v117(constB37)))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[28948, 38124])).
% 219.14/141.69 tff(38126,plain,
% 219.14/141.69 (~(v110(constB37) | v117(constB37))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38125, 28940])).
% 219.14/141.69 tff(38127,plain,
% 219.14/141.69 ((v110(constB37) | v117(constB37)) | (~v117(constB37))),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(38128,plain,
% 219.14/141.69 (~v117(constB37)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38127, 38126])).
% 219.14/141.69 tff(38129,plain,
% 219.14/141.69 ((~(v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))))) | v117(constB37) | ((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))),
% 219.14/141.69 inference(tautology,[status(thm)],[])).
% 219.14/141.69 tff(38130,plain,
% 219.14/141.69 ((~(v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))))) | ((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38129, 38128])).
% 219.14/141.69 tff(38131,plain,
% 219.14/141.69 ((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0)),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[38130, 32426])).
% 219.14/141.69 tff(38132,plain,
% 219.14/141.69 (v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))),
% 219.14/141.69 inference(unit_resolution,[status(thm)],[28958, 38121])).
% 219.14/141.70 tff(38133,plain,
% 219.14/141.70 (~v110(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[28951, 38126])).
% 219.14/141.70 tff(38134,plain,
% 219.14/141.70 ((~(v110(constB37) <=> (v111(constB37) | v116(constB37)))) | (~(v111(constB37) | v116(constB37)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[28953, 38133])).
% 219.14/141.70 tff(38135,plain,
% 219.14/141.70 (~(v111(constB37) | v116(constB37))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38134, 28938])).
% 219.14/141.70 tff(38136,plain,
% 219.14/141.70 (~v111(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[28955, 38135])).
% 219.14/141.70 tff(38137,plain,
% 219.14/141.70 ((~(v111(constB37) <=> (v112(constB37) | v115(constB37)))) | (~(v112(constB37) | v115(constB37)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[28935, 38136])).
% 219.14/141.70 tff(38138,plain,
% 219.14/141.70 (~(v112(constB37) | v115(constB37))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38137, 28920])).
% 219.14/141.70 tff(38139,plain,
% 219.14/141.70 (~v112(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[28933, 38138])).
% 219.14/141.70 tff(38140,plain,
% 219.14/141.70 ((~(v112(constB37) <=> (v113(constB37) | v114(constB37)))) | (~(v113(constB37) | v114(constB37)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[28930, 38139])).
% 219.14/141.70 tff(38141,plain,
% 219.14/141.70 (~(v113(constB37) | v114(constB37))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38140, 28922])).
% 219.14/141.70 tff(38142,plain,
% 219.14/141.70 ((v113(constB37) | v114(constB37)) | (~v113(constB37))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38143,plain,
% 219.14/141.70 (~v113(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38142, 38141])).
% 219.14/141.70 tff(38144,assumption,(~(v113(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2))))), introduced(assumption)).
% 219.14/141.70 tff(38145,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32145, 597, 38144])).
% 219.14/141.70 tff(38146,plain,(v113(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38147,plain,
% 219.14/141.70 ((~(v113(constB37) <=> (~(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2))))) | v113(constB37) | (v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38148,plain,
% 219.14/141.70 (v113(constB37) | (v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38147, 38146])).
% 219.14/141.70 tff(38149,plain,
% 219.14/141.70 (v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38148, 38143])).
% 219.14/141.70 tff(38150,assumption,((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0)), introduced(assumption)).
% 219.14/141.70 tff(38151,assumption,(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2)), introduced(assumption)).
% 219.14/141.70 tff(38152,assumption,(~v84(constB37, 2)), introduced(assumption)).
% 219.14/141.70 tff(38153,plain,
% 219.14/141.70 ((~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))) | v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38154,plain,
% 219.14/141.70 (~v84(constB37, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38153, 38152, 32141, 38109])).
% 219.14/141.70 tff(38155,plain,
% 219.14/141.70 ((~(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2))) | v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38156,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38155, 38154, 38152, 38109, 38151])).
% 219.14/141.70 tff(38157,plain,(v84(constB37, 2) | v84(constB37, 1) | (~(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2))) | (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38158,plain,
% 219.14/141.70 (v84(constB37, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38157, 38109, 38151, 32141])).
% 219.14/141.70 tff(38159,plain,
% 219.14/141.70 (~v84(constB37, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34074, 38158, 38109, 33406])).
% 219.14/141.70 tff(38160,plain,
% 219.14/141.70 ((~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))) | (~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38161,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38160, 38159, 38158, 38109, 38150])).
% 219.14/141.70 tff(38162,plain,(v84(constB37, 1) | (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))) | (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))) | (~(v84(constB37, 0) | v84(constB37, 1) | v84(constB37, 2))) | (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38163,plain,
% 219.14/141.70 (v84(constB37, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38162, 38149, 38132, 33406, 38131])).
% 219.14/141.70 tff(38164,plain,
% 219.14/141.70 ((~(v84(constB38, 1) <=> v84(constB37, 1))) | v84(constB38, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32478, 38163])).
% 219.14/141.70 tff(38165,plain,
% 219.14/141.70 (v84(constB38, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38164, 38115])).
% 219.14/141.70 tff(38166,plain,
% 219.14/141.70 (v84(constB38, 0) | v84(constB38, 1) | (~v84(constB38, 2))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32535, 38165])).
% 219.14/141.70 tff(38167,plain,
% 219.14/141.70 (v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32554, 38166])).
% 219.14/141.70 tff(38168,assumption,(~(v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2)))))), introduced(assumption)).
% 219.14/141.70 tff(38169,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29452, 656, 38168])).
% 219.14/141.70 tff(38170,plain,(v117(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38171,plain,
% 219.14/141.70 ((~v117(constB39)) | (~(v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32556, 38170])).
% 219.14/141.70 tff(38172,plain,
% 219.14/141.70 (~v117(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38171, 38167])).
% 219.14/141.70 tff(38173,plain,
% 219.14/141.70 (v84(constB38, 0) <=> v84(constB37, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32566, 38114])).
% 219.14/141.70 tff(38174,plain,
% 219.14/141.70 ((v108(constB37) | v119(constB37)) | (~v119(constB37))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38175,plain,
% 219.14/141.70 (~v119(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38174, 38120])).
% 219.14/141.70 tff(38176,plain,
% 219.14/141.70 ((~(v119(constB37) <=> (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0))))) | v119(constB37) | ((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38177,plain,
% 219.14/141.70 ((~(v119(constB37) <=> (~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0))))) | ((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38176, 38175])).
% 219.14/141.70 tff(38178,plain,
% 219.14/141.70 ((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38177, 32387])).
% 219.14/141.70 tff(38179,plain,
% 219.14/141.70 ((v112(constB37) | v115(constB37)) | (~v115(constB37))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38180,plain,
% 219.14/141.70 (~v115(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38179, 38138])).
% 219.14/141.70 tff(38181,plain,
% 219.14/141.70 ((~(v115(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0))))) | v115(constB37) | ((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38182,plain,
% 219.14/141.70 ((~(v115(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0))))) | ((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38181, 38180])).
% 219.14/141.70 tff(38183,plain,
% 219.14/141.70 ((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38182, 32329])).
% 219.14/141.70 tff(38184,plain,
% 219.14/141.70 ((v111(constB37) | v116(constB37)) | (~v116(constB37))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38185,plain,
% 219.14/141.70 (~v116(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38184, 38135])).
% 219.14/141.70 tff(38186,plain,
% 219.14/141.70 ((~(v116(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0)))))) | v116(constB37) | ((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0)))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38187,plain,
% 219.14/141.70 ((~(v116(constB37) <=> (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0)))))) | ((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38186, 38185])).
% 219.14/141.70 tff(38188,plain,
% 219.14/141.70 ((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38187, 32370])).
% 219.14/141.70 tff(38189,assumption,((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0)), introduced(assumption)).
% 219.14/141.70 tff(38190,assumption,(v84(constB37, 1)), introduced(assumption)).
% 219.14/141.70 tff(38191,assumption,((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0))), introduced(assumption)).
% 219.14/141.70 tff(38192,plain,
% 219.14/141.70 ((~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0)))) | (~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38193,plain,
% 219.14/141.70 (~v84(constB37, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38192, 38152, 38190, 38191])).
% 219.14/141.70 tff(38194,plain,
% 219.14/141.70 ((~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0))) | (~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38195,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38194, 38193, 38152, 38190, 38189])).
% 219.14/141.70 tff(38196,plain,(v84(constB37, 2) | (~v84(constB37, 1)) | (~((~v84(constB37, 1)) | v84(constB37, 2) | v84(constB37, 0))) | (~((~v84(constB37, 1)) | v84(constB37, 2) | (~v84(constB37, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38197,plain,
% 219.14/141.70 (v84(constB37, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38196, 38163, 38188, 38183])).
% 219.14/141.70 tff(38198,plain,
% 219.14/141.70 ((~((~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0))) | (~v84(constB37, 1)) | (~v84(constB37, 2)) | v84(constB37, 0)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38199,plain,
% 219.14/141.70 (v84(constB37, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38198, 38197, 38163, 38178])).
% 219.14/141.70 tff(38200,plain,
% 219.14/141.70 ((~(v84(constB38, 0) <=> v84(constB37, 0))) | v84(constB38, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32573, 38199])).
% 219.14/141.70 tff(38201,plain,
% 219.14/141.70 (v84(constB38, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38200, 38173])).
% 219.14/141.70 tff(38202,assumption,(~(v84(constB39, 0) <=> v84(constB38, 0))), introduced(assumption)).
% 219.14/141.70 tff(38203,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[28913, 28905, 38202])).
% 219.14/141.70 tff(38204,plain,(v84(constB39, 0) <=> v84(constB38, 0)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38205,plain,
% 219.14/141.70 (v84(constB39, 0) | (~v84(constB38, 0))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32545, 38204])).
% 219.14/141.70 tff(38206,plain,
% 219.14/141.70 (v84(constB39, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38205, 38201])).
% 219.14/141.70 tff(38207,plain,
% 219.14/141.70 (v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32578, 38206])).
% 219.14/141.70 tff(38208,plain,
% 219.14/141.70 ((~(v119(constB39) <=> (~(v84(constB39, 0) | (~v84(constB39, 2)) | (~v84(constB39, 1)))))) | (~v119(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32580, 38207])).
% 219.14/141.70 tff(38209,plain,
% 219.14/141.70 (~v119(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38208, 29465])).
% 219.14/141.70 tff(38210,plain,
% 219.14/141.70 (v108(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32583, 38209, 29570])).
% 219.14/141.70 tff(38211,plain,
% 219.14/141.70 ((~(v108(constB39) <=> (v109(constB39) | v118(constB39)))) | (v109(constB39) | v118(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32585, 38210])).
% 219.14/141.70 tff(38212,plain,
% 219.14/141.70 (v109(constB39) | v118(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38211, 29344])).
% 219.14/141.70 tff(38213,plain,
% 219.14/141.70 (v84(constB39, 1) | (~v84(constB38, 1))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29245, 38063])).
% 219.14/141.70 tff(38214,plain,
% 219.14/141.70 (v84(constB39, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38213, 38165])).
% 219.14/141.70 tff(38215,plain,
% 219.14/141.70 (v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32590, 38214])).
% 219.14/141.70 tff(38216,plain,
% 219.14/141.70 ((~(v118(constB39) <=> (~(v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2)))))) | (~v118(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32592, 38215])).
% 219.14/141.70 tff(38217,plain,
% 219.14/141.70 (~v118(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38216, 32589])).
% 219.14/141.70 tff(38218,plain,
% 219.14/141.70 ((~(v109(constB39) | v118(constB39))) | v109(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32595, 38217])).
% 219.14/141.70 tff(38219,plain,
% 219.14/141.70 (v109(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38218, 38212])).
% 219.14/141.70 tff(38220,plain,
% 219.14/141.70 (v110(constB39) | v117(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32602, 38219])).
% 219.14/141.70 tff(38221,plain,
% 219.14/141.70 (v110(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32604, 38220, 38172])).
% 219.14/141.70 tff(38222,plain,
% 219.14/141.70 (v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32483, 38214])).
% 219.14/141.70 tff(38223,plain,
% 219.14/141.70 ((~(v114(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0)))))) | (~v114(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32485, 38222])).
% 219.14/141.70 tff(38224,plain,
% 219.14/141.70 (~v114(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38223, 29518])).
% 219.14/141.70 tff(38225,plain,
% 219.14/141.70 (v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32488, 38214])).
% 219.14/141.70 tff(38226,assumption,(~(v113(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2))))), introduced(assumption)).
% 219.14/141.70 tff(38227,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29414, 597, 38226])).
% 219.14/141.70 tff(38228,plain,(v113(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38229,plain,
% 219.14/141.70 ((~v113(constB39)) | (~(v84(constB39, 0) | v84(constB39, 1) | v84(constB39, 2)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32490, 38228])).
% 219.14/141.70 tff(38230,plain,
% 219.14/141.70 (~v113(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38229, 38225])).
% 219.14/141.70 tff(38231,plain,
% 219.14/141.70 (~(v113(constB39) | v114(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32493, 38230, 38224])).
% 219.14/141.70 tff(38232,plain,
% 219.14/141.70 ((~(v112(constB39) <=> (v113(constB39) | v114(constB39)))) | (~v112(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32495, 38231])).
% 219.14/141.70 tff(38233,plain,
% 219.14/141.70 (~v112(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38232, 29417])).
% 219.14/141.70 tff(38234,plain,
% 219.14/141.70 ((v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))) | (~v84(constB39, 0))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38235,plain,
% 219.14/141.70 (v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38234, 38206])).
% 219.14/141.70 tff(38236,plain,
% 219.14/141.70 ((~(v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))) | (~v115(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32519, 38235])).
% 219.14/141.70 tff(38237,plain,
% 219.14/141.70 (~v115(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38236, 29441])).
% 219.14/141.70 tff(38238,plain,
% 219.14/141.70 ((~(v112(constB39) | v115(constB39))) | v112(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32522, 38237])).
% 219.14/141.70 tff(38239,plain,
% 219.14/141.70 (~(v112(constB39) | v115(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38238, 38233])).
% 219.14/141.70 tff(38240,plain,
% 219.14/141.70 (~v111(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32525, 38239, 29419])).
% 219.14/141.70 tff(38241,plain,
% 219.14/141.70 (v84(constB38, 2) <=> v84(constB37, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32505, 38114])).
% 219.14/141.70 tff(38242,plain,
% 219.14/141.70 ((~(v84(constB38, 2) <=> v84(constB37, 2))) | v84(constB38, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32512, 38197])).
% 219.14/141.70 tff(38243,plain,
% 219.14/141.70 (v84(constB38, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38242, 38241])).
% 219.14/141.70 tff(38244,plain,
% 219.14/141.70 ((~(v84(constB39, 2) <=> v84(constB38, 2))) | v84(constB39, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32515, 38243])).
% 219.14/141.70 tff(38245,plain,
% 219.14/141.70 (v84(constB39, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38244, 29136])).
% 219.14/141.70 tff(38246,plain,
% 219.14/141.70 (v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32527, 38245])).
% 219.14/141.70 tff(38247,plain,
% 219.14/141.70 ((~(v116(constB39) <=> (~(v84(constB39, 2) | (~v84(constB39, 0)) | (~v84(constB39, 1)))))) | (~v116(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32529, 38246])).
% 219.14/141.70 tff(38248,plain,
% 219.14/141.70 (~v116(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38247, 29338])).
% 219.14/141.70 tff(38249,plain,
% 219.14/141.70 ((~(v111(constB39) | v116(constB39))) | v111(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32532, 38248])).
% 219.14/141.70 tff(38250,plain,
% 219.14/141.70 (~(v111(constB39) | v116(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38249, 38240])).
% 219.14/141.70 tff(38251,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32606, 38250, 38221, 29340])).
% 219.14/141.70 tff(38252,plain,(v102(constB37) | (~(v108(constB39) | v119(constB39))) | (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38253,plain,
% 219.14/141.70 (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38252, 38110, 29570])).
% 219.14/141.70 tff(38254,assumption,(~(v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))))), introduced(assumption)).
% 219.14/141.70 tff(38255,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32403, 394, 38254])).
% 219.14/141.70 tff(38256,plain,(v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38257,plain,
% 219.14/141.70 ((~(v118(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))))) | v118(constB37) | ((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38258,plain,
% 219.14/141.70 (v118(constB37) | ((~v84(constB37, 2)) | v84(constB37, 1) | (~v84(constB37, 0)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38257, 38256])).
% 219.14/141.70 tff(38259,plain,
% 219.14/141.70 (v118(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38258, 38253])).
% 219.14/141.70 tff(38260,plain,
% 219.14/141.70 ((v109(constB37) | v118(constB37)) | (~v118(constB37))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38261,plain,
% 219.14/141.70 (v109(constB37) | v118(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38260, 38259])).
% 219.14/141.70 tff(38262,plain,
% 219.14/141.70 (v108(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38122, 38261])).
% 219.14/141.70 tff(38263,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[28960, 38120, 38262])).
% 219.14/141.70 tff(38264,plain,(v102(constB37) | (~(v108(constB39) | v119(constB39)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38265,plain,
% 219.14/141.70 (~(v108(constB39) | v119(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38264, 38110])).
% 219.14/141.70 tff(38266,plain,
% 219.14/141.70 (~v107(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29568, 38265])).
% 219.14/141.70 tff(38267,plain,
% 219.14/141.70 ((~v107(constB39)) | (~v120(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29562, 38266])).
% 219.14/141.70 tff(38268,plain,
% 219.14/141.70 (~v106(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29560, 38267])).
% 219.14/141.70 tff(38269,plain,
% 219.14/141.70 (~(v105(constB39) | v106(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29557, 38268])).
% 219.14/141.70 tff(38270,plain,
% 219.14/141.70 (~v102(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29394, 38269])).
% 219.14/141.70 tff(38271,plain,
% 219.14/141.70 (~v104(constB40)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29397, 38270])).
% 219.14/141.70 tff(38272,plain,
% 219.14/141.70 ((~v95(constB40)) | (~v104(constB40))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29399, 38271])).
% 219.14/141.70 tff(38273,plain,
% 219.14/141.70 (~v94(constB40)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29402, 38272])).
% 219.14/141.70 tff(38274,plain,
% 219.14/141.70 (v84(constB40, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29548, 29331])).
% 219.14/141.70 tff(38275,plain,
% 219.14/141.70 (v84(constB39, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29280, 38274, 29279])).
% 219.14/141.70 tff(38276,plain,
% 219.14/141.70 (~v106(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29348, 29331])).
% 219.14/141.70 tff(38277,plain,
% 219.14/141.70 ((~v107(constB39)) | (~v120(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29353, 38276])).
% 219.14/141.70 tff(38278,plain,
% 219.14/141.70 (~v107(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29368, 38277])).
% 219.14/141.70 tff(38279,plain,
% 219.14/141.70 (~(v108(constB39) | v119(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29370, 38278, 29346])).
% 219.14/141.70 tff(38280,plain,
% 219.14/141.70 (~v108(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29373, 38279])).
% 219.14/141.70 tff(38281,plain,
% 219.14/141.70 (~(v109(constB39) | v118(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29375, 38280, 29344])).
% 219.14/141.70 tff(38282,plain,
% 219.14/141.70 ((v109(constB39) | v118(constB39)) | (~v118(constB39))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38283,plain,
% 219.14/141.70 (~v118(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38282, 38281])).
% 219.14/141.70 tff(38284,plain,
% 219.14/141.70 ((~(v118(constB39) <=> (~(v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2)))))) | v118(constB39) | (v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2)))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38285,plain,
% 219.14/141.70 (v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38284, 38283, 32589])).
% 219.14/141.70 tff(38286,plain,
% 219.14/141.70 ((~(v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2)))) | v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38287,plain,
% 219.14/141.70 ((~(v84(constB39, 1) | (~v84(constB39, 0)) | (~v84(constB39, 2)))) | (~v84(constB39, 0)) | (~v84(constB39, 2))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38286, 29476])).
% 219.14/141.70 tff(38288,plain,
% 219.14/141.70 (~v84(constB39, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38287, 38285, 38275])).
% 219.14/141.70 tff(38289,plain,
% 219.14/141.70 (~v109(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29378, 38281])).
% 219.14/141.70 tff(38290,plain,
% 219.14/141.70 (~(v110(constB39) | v117(constB39))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29380, 38289, 32600])).
% 219.14/141.70 tff(38291,plain,
% 219.14/141.70 (~v117(constB39)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29454, 38290])).
% 219.14/141.70 tff(38292,plain,
% 219.14/141.70 (v84(constB39, 1) | v84(constB39, 0) | (~v84(constB39, 2))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29456, 38291, 29453])).
% 219.14/141.70 tff(38293,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29494, 38292, 38288, 29476, 38275])).
% 219.14/141.70 tff(38294,plain,(v94(constB40) | v84(constB39, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38295,plain,
% 219.14/141.70 (v84(constB39, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38294, 38273])).
% 219.14/141.70 tff(38296,plain,
% 219.14/141.70 (v84(constB38, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38065, 38295])).
% 219.14/141.70 tff(38297,plain,
% 219.14/141.70 ((~(v84(constB38, 1) <=> v84(constB37, 1))) | (~v84(constB38, 1)) | v84(constB37, 1)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38298,plain,
% 219.14/141.70 (~(v84(constB38, 1) <=> v84(constB37, 1))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38297, 38296, 38109])).
% 219.14/141.70 tff(38299,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32476, 38114, 38298])).
% 219.14/141.70 tff(38300,plain,(v102(constB37) | v84(constB37, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38301,plain,
% 219.14/141.70 (v102(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38300, 38108])).
% 219.14/141.70 tff(38302,plain,
% 219.14/141.70 (v104(constB38)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29002, 38301])).
% 219.14/141.70 tff(38303,plain,
% 219.14/141.70 (~((~v95(constB38)) | (~v104(constB38)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29036, 38302])).
% 219.14/141.70 tff(38304,plain,
% 219.14/141.70 (v94(constB38)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29043, 38303])).
% 219.14/141.70 tff(38305,plain,
% 219.14/141.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29051, 38304])).
% 219.14/141.70 tff(38306,assumption,(~(v84(constB38, 1) <=> v123(constB38, 1))), introduced(assumption)).
% 219.14/141.70 tff(38307,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B)))), introduced(assumption)).
% 219.14/141.70 tff(38308,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29204, 38307, 38306])).
% 219.14/141.70 tff(38309,plain,((v84(constB38, 1) <=> v123(constB38, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB38, B) <=> v123(constB38, B))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38310,plain,
% 219.14/141.70 (v84(constB38, 1) <=> v123(constB38, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38309, 38305])).
% 219.14/141.70 tff(38311,plain,
% 219.14/141.70 (v124(constB35, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33388, 38072])).
% 219.14/141.70 tff(38312,plain,
% 219.14/141.70 (v121(constB35, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33373, 38311])).
% 219.14/141.70 tff(38313,plain,
% 219.14/141.70 (v123(constB36, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33359, 38312])).
% 219.14/141.70 tff(38314,plain,
% 219.14/141.70 (v84(constB36, 2) <=> v123(constB36, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33343, 38105])).
% 219.14/141.70 tff(38315,plain,
% 219.14/141.70 (v84(constB36, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33345, 38314, 38313])).
% 219.14/141.70 tff(38316,plain,
% 219.14/141.70 (v84(constB37, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33331, 38315])).
% 219.14/141.70 tff(38317,assumption,(v124(constB35, 0)), introduced(assumption)).
% 219.14/141.70 tff(38318,plain,
% 219.14/141.70 ((~(v124(constB35, 0) <=> b100(0))) | (~v124(constB35, 0)) | b100(0)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38319,plain,
% 219.14/141.70 (~(v124(constB35, 0) <=> b100(0))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38318, 3674, 38317])).
% 219.14/141.70 tff(38320,plain,
% 219.14/141.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 0) <=> b100(0)))),
% 219.14/141.70 inference(rewrite,[status(thm)],[])).
% 219.14/141.70 tff(38321,plain,
% 219.14/141.70 (($false | $false | (v124(constB35, 0) <=> b100(0))) <=> (v124(constB35, 0) <=> b100(0))),
% 219.14/141.70 inference(rewrite,[status(thm)],[])).
% 219.14/141.70 tff(38322,plain,
% 219.14/141.70 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b100(0))) <=> ($false | $false | (v124(constB35, 0) <=> b100(0)))),
% 219.14/141.70 inference(monotonicity,[status(thm)],[250, 249])).
% 219.14/141.70 tff(38323,plain,
% 219.14/141.70 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b100(0))) <=> (v124(constB35, 0) <=> b100(0))),
% 219.14/141.70 inference(transitivity,[status(thm)],[38322, 38321])).
% 219.14/141.70 tff(38324,plain,
% 219.14/141.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 0) <=> b100(0)))),
% 219.14/141.70 inference(monotonicity,[status(thm)],[38323])).
% 219.14/141.70 tff(38325,plain,
% 219.14/141.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 0) <=> b100(0)))),
% 219.14/141.70 inference(transitivity,[status(thm)],[38324, 38320])).
% 219.14/141.70 tff(38326,plain,
% 219.14/141.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB35, 0) <=> b100(0)))),
% 219.14/141.70 inference(quant_inst,[status(thm)],[])).
% 219.14/141.70 tff(38327,plain,
% 219.14/141.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (v124(constB35, 0) <=> b100(0))),
% 219.14/141.70 inference(modus_ponens,[status(thm)],[38326, 38325])).
% 219.14/141.70 tff(38328,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38327, 33378, 38319])).
% 219.14/141.70 tff(38329,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB35, B) <=> b100(B)))) | (~v124(constB35, 0))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38330,plain,
% 219.14/141.70 (~v124(constB35, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38329, 38072])).
% 219.14/141.70 tff(38331,assumption,(~(v121(constB35, 0) <=> v124(constB35, 0))), introduced(assumption)).
% 219.14/141.70 tff(38332,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33448, 33255, 38331])).
% 219.14/141.70 tff(38333,plain,(v121(constB35, 0) <=> v124(constB35, 0)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38334,plain,
% 219.14/141.70 ((~(v121(constB35, 0) <=> v124(constB35, 0))) | (~v121(constB35, 0)) | v124(constB35, 0)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38335,plain,
% 219.14/141.70 ((~v121(constB35, 0)) | v124(constB35, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38334, 38333])).
% 219.14/141.70 tff(38336,plain,
% 219.14/141.70 (~v121(constB35, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38335, 38330])).
% 219.14/141.70 tff(38337,assumption,(~(v123(constB36, 0) <=> v121(constB35, 0))), introduced(assumption)).
% 219.14/141.70 tff(38338,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33457, 33234, 38337])).
% 219.14/141.70 tff(38339,plain,(v123(constB36, 0) <=> v121(constB35, 0)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38340,plain,
% 219.14/141.70 ((~(v123(constB36, 0) <=> v121(constB35, 0))) | (~v123(constB36, 0)) | v121(constB35, 0)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38341,plain,
% 219.14/141.70 ((~v123(constB36, 0)) | v121(constB35, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38340, 38339])).
% 219.14/141.70 tff(38342,plain,
% 219.14/141.70 (~v123(constB36, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38341, 38336])).
% 219.14/141.70 tff(38343,assumption,(~(v84(constB36, 0) <=> v123(constB36, 0))), introduced(assumption)).
% 219.14/141.70 tff(38344,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33479, 33213, 38343])).
% 219.14/141.70 tff(38345,plain,((v84(constB36, 0) <=> v123(constB36, 0)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB36, B) <=> v123(constB36, B))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38346,plain,
% 219.14/141.70 (v84(constB36, 0) <=> v123(constB36, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38345, 38105])).
% 219.14/141.70 tff(38347,plain,
% 219.14/141.70 ((~(v84(constB36, 0) <=> v123(constB36, 0))) | (~v84(constB36, 0)) | v123(constB36, 0)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38348,plain,
% 219.14/141.70 (~v84(constB36, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38347, 38346, 38342])).
% 219.14/141.70 tff(38349,plain,
% 219.14/141.70 ((~(v84(constB37, 0) <=> v84(constB36, 0))) | (~v84(constB37, 0)) | v84(constB36, 0)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38350,plain,
% 219.14/141.70 ((~v84(constB37, 0)) | v84(constB36, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38349, 34071])).
% 219.14/141.70 tff(38351,plain,
% 219.14/141.70 (~v84(constB37, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38350, 38348])).
% 219.14/141.70 tff(38352,plain,
% 219.14/141.70 (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38160, 38351, 38108, 38316])).
% 219.14/141.70 tff(38353,assumption,(~(v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))))), introduced(assumption)).
% 219.14/141.70 tff(38354,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32425, 656, 38353])).
% 219.14/141.70 tff(38355,plain,(v117(constB37) <=> (~((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38356,plain,
% 219.14/141.70 (v117(constB37) | ((~v84(constB37, 2)) | v84(constB37, 1) | v84(constB37, 0))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38129, 38355])).
% 219.14/141.70 tff(38357,plain,
% 219.14/141.70 (v117(constB37)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38356, 38352])).
% 219.14/141.70 tff(38358,assumption,(v117(constB37)), introduced(assumption)).
% 219.14/141.70 tff(38359,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))), introduced(assumption)).
% 219.14/141.70 tff(38360,plain,
% 219.14/141.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B))))),
% 219.14/141.70 inference(rewrite,[status(thm)],[])).
% 219.14/141.70 tff(38361,plain,
% 219.14/141.70 (((~v117(constB37)) | ![B: $int] : ((v124(constB37, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v117(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B))))),
% 219.14/141.70 inference(rewrite,[status(thm)],[])).
% 219.14/141.70 tff(38362,plain,
% 219.14/141.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB37)) | ![B: $int] : ((v124(constB37, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))))),
% 219.14/141.70 inference(monotonicity,[status(thm)],[38361])).
% 219.14/141.70 tff(38363,plain,
% 219.14/141.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB37)) | ![B: $int] : ((v124(constB37, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B))))),
% 219.14/141.70 inference(transitivity,[status(thm)],[38362, 38360])).
% 219.14/141.70 tff(38364,plain,
% 219.14/141.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v117(constB37)) | ![B: $int] : ((v124(constB37, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.14/141.70 inference(quant_inst,[status(thm)],[])).
% 219.14/141.70 tff(38365,plain,
% 219.14/141.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b101(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v117(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))),
% 219.14/141.70 inference(modus_ponens,[status(thm)],[38364, 38363])).
% 219.14/141.70 tff(38366,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38365, 2090, 38359, 38358])).
% 219.14/141.70 tff(38367,plain,((~v117(constB37)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38368,plain,
% 219.14/141.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38367, 38357])).
% 219.14/141.70 tff(38369,assumption,(v124(constB37, 1)), introduced(assumption)).
% 219.14/141.70 tff(38370,plain,
% 219.14/141.70 ((~(v124(constB37, 1) <=> b101(1))) | (~v124(constB37, 1)) | b101(1)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38371,plain,
% 219.14/141.70 (~(v124(constB37, 1) <=> b101(1))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38370, 2330, 38369])).
% 219.14/141.70 tff(38372,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))), introduced(assumption)).
% 219.14/141.70 tff(38373,plain,
% 219.14/141.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))) | (v124(constB37, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))) | (v124(constB37, 1) <=> b101(1)))),
% 219.14/141.70 inference(rewrite,[status(thm)],[])).
% 219.14/141.70 tff(38374,plain,
% 219.14/141.70 (($false | $false | (v124(constB37, 1) <=> b101(1))) <=> (v124(constB37, 1) <=> b101(1))),
% 219.14/141.70 inference(rewrite,[status(thm)],[])).
% 219.14/141.70 tff(38375,plain,
% 219.14/141.70 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB37, 1) <=> b101(1))) <=> ($false | $false | (v124(constB37, 1) <=> b101(1)))),
% 219.14/141.70 inference(monotonicity,[status(thm)],[402, 401])).
% 219.14/141.70 tff(38376,plain,
% 219.14/141.70 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB37, 1) <=> b101(1))) <=> (v124(constB37, 1) <=> b101(1))),
% 219.14/141.70 inference(transitivity,[status(thm)],[38375, 38374])).
% 219.14/141.70 tff(38377,plain,
% 219.14/141.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB37, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))) | (v124(constB37, 1) <=> b101(1)))),
% 219.14/141.70 inference(monotonicity,[status(thm)],[38376])).
% 219.14/141.70 tff(38378,plain,
% 219.14/141.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB37, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))) | (v124(constB37, 1) <=> b101(1)))),
% 219.14/141.70 inference(transitivity,[status(thm)],[38377, 38373])).
% 219.14/141.70 tff(38379,plain,
% 219.14/141.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB37, 1) <=> b101(1)))),
% 219.14/141.70 inference(quant_inst,[status(thm)],[])).
% 219.14/141.70 tff(38380,plain,
% 219.14/141.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))) | (v124(constB37, 1) <=> b101(1))),
% 219.14/141.70 inference(modus_ponens,[status(thm)],[38379, 38378])).
% 219.14/141.70 tff(38381,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38380, 38372, 38371])).
% 219.14/141.70 tff(38382,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB37, B) <=> b101(B)))) | (~v124(constB37, 1))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38383,plain,
% 219.14/141.70 (~v124(constB37, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38382, 38368])).
% 219.14/141.70 tff(38384,assumption,(~(v121(constB37, 1) <=> v124(constB37, 1))), introduced(assumption)).
% 219.14/141.70 tff(38385,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29222, 29084, 38384])).
% 219.14/141.70 tff(38386,plain,(v121(constB37, 1) <=> v124(constB37, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38387,plain,
% 219.14/141.70 ((~(v121(constB37, 1) <=> v124(constB37, 1))) | (~v121(constB37, 1)) | v124(constB37, 1)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38388,plain,
% 219.14/141.70 ((~v121(constB37, 1)) | v124(constB37, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38387, 38386])).
% 219.14/141.70 tff(38389,plain,
% 219.14/141.70 (~v121(constB37, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38388, 38383])).
% 219.14/141.70 tff(38390,assumption,(~(v123(constB38, 1) <=> v121(constB37, 1))), introduced(assumption)).
% 219.14/141.70 tff(38391,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[29213, 29068, 38390])).
% 219.14/141.70 tff(38392,plain,(v123(constB38, 1) <=> v121(constB37, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38393,plain,
% 219.14/141.70 ((~(v123(constB38, 1) <=> v121(constB37, 1))) | (~v123(constB38, 1)) | v121(constB37, 1)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38394,plain,
% 219.14/141.70 ((~v123(constB38, 1)) | v121(constB37, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38393, 38392])).
% 219.14/141.70 tff(38395,plain,
% 219.14/141.70 (~v123(constB38, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38394, 38389])).
% 219.14/141.70 tff(38396,plain,
% 219.14/141.70 ((~(v84(constB38, 1) <=> v123(constB38, 1))) | (~v84(constB38, 1)) | v123(constB38, 1)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38397,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38396, 38395, 38310, 38067])).
% 219.14/141.70 tff(38398,plain,((~v116(constB35)) | (~v84(constB38, 1))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38399,plain,
% 219.14/141.70 (~v116(constB35)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38398, 38066])).
% 219.14/141.70 tff(38400,assumption,(~(v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))))), introduced(assumption)).
% 219.14/141.70 tff(38401,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[32018, 521, 38400])).
% 219.14/141.70 tff(38402,plain,(v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38403,plain,
% 219.14/141.70 ((~(v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))))) | v116(constB35) | (v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38404,plain,
% 219.14/141.70 (v116(constB35) | (v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38403, 38402])).
% 219.14/141.70 tff(38405,plain,
% 219.14/141.70 (v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38404, 38399])).
% 219.14/141.70 tff(38406,assumption,(~(v84(constB32, 0) | (~v84(constB32, 1)) | v84(constB32, 2))), introduced(assumption)).
% 219.14/141.70 tff(38407,plain,
% 219.14/141.70 ((v84(constB32, 0) | (~v84(constB32, 1)) | v84(constB32, 2)) | (~v84(constB32, 0))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38408,plain,
% 219.14/141.70 (~v84(constB32, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38407, 38406])).
% 219.14/141.70 tff(38409,plain,
% 219.14/141.70 (~v84(constB33, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34774, 38408])).
% 219.14/141.70 tff(38410,plain,
% 219.14/141.70 (v84(constB33, 2) | (~v84(constB33, 0)) | (~v84(constB33, 1))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34489, 38409])).
% 219.14/141.70 tff(38411,plain,
% 219.14/141.70 (~v116(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[31633, 38410])).
% 219.14/141.70 tff(38412,plain,
% 219.14/141.70 (v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34737, 38409])).
% 219.14/141.70 tff(38413,plain,
% 219.14/141.70 (~v114(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[31566, 38412])).
% 219.14/141.70 tff(38414,assumption,(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))), introduced(assumption)).
% 219.14/141.70 tff(38415,plain,
% 219.14/141.70 (v84(constB33, 1) | (~v84(constB33, 0)) | (~v84(constB33, 2))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34734, 38409])).
% 219.14/141.70 tff(38416,plain,
% 219.14/141.70 (~v118(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[31537, 38415])).
% 219.14/141.70 tff(38417,plain,
% 219.14/141.70 (v115(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34768, 34701, 34360, 34362, 34361])).
% 219.14/141.70 tff(38418,assumption,(v84(constB34, 2)), introduced(assumption)).
% 219.14/141.70 tff(38419,plain,
% 219.14/141.70 (v110(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34172, 33638])).
% 219.14/141.70 tff(38420,plain,
% 219.14/141.70 (v110(constB33) | v117(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33989, 38419])).
% 219.14/141.70 tff(38421,plain,
% 219.14/141.70 (v109(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33870, 38420])).
% 219.14/141.70 tff(38422,plain,
% 219.14/141.70 (v109(constB33) | v118(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33872, 38421])).
% 219.14/141.70 tff(38423,plain,
% 219.14/141.70 (v108(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33875, 38422])).
% 219.14/141.70 tff(38424,plain,
% 219.14/141.70 (v108(constB33) | v119(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33877, 38423])).
% 219.14/141.70 tff(38425,plain,
% 219.14/141.70 (v107(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33880, 38424])).
% 219.14/141.70 tff(38426,plain,
% 219.14/141.70 (~((~v107(constB33)) | (~v120(constB33)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33888, 38425])).
% 219.14/141.70 tff(38427,plain,
% 219.14/141.70 (v106(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33891, 38426])).
% 219.14/141.70 tff(38428,plain,
% 219.14/141.70 (v105(constB33) | v106(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33893, 38427])).
% 219.14/141.70 tff(38429,plain,
% 219.14/141.70 (v102(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33896, 38428])).
% 219.14/141.70 tff(38430,plain,
% 219.14/141.70 (v104(constB34)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33899, 38429])).
% 219.14/141.70 tff(38431,plain,
% 219.14/141.70 (~((~v95(constB34)) | (~v104(constB34)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33930, 38430])).
% 219.14/141.70 tff(38432,plain,
% 219.14/141.70 (v94(constB34)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33933, 38431])).
% 219.14/141.70 tff(38433,plain,
% 219.14/141.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33861, 38432])).
% 219.14/141.70 tff(38434,plain,
% 219.14/141.70 (v84(constB34, 2) <=> v123(constB34, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34848, 38433])).
% 219.14/141.70 tff(38435,plain,
% 219.14/141.70 (v123(constB34, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34868, 38434, 38418])).
% 219.14/141.70 tff(38436,plain,
% 219.14/141.70 (v121(constB33, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34874, 38435])).
% 219.14/141.70 tff(38437,plain,
% 219.14/141.70 (v124(constB33, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34880, 38436])).
% 219.14/141.70 tff(38438,plain,
% 219.14/141.70 ((~(v124(constB33, 2) <=> b011(2))) | (~v124(constB33, 2)) | b011(2)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38439,plain,
% 219.14/141.70 (~(v124(constB33, 2) <=> b011(2))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38438, 2569, 38437])).
% 219.14/141.70 tff(38440,plain,
% 219.14/141.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33647, 33638])).
% 219.14/141.70 tff(38441,plain,
% 219.14/141.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 2) <=> b011(2)))),
% 219.14/141.70 inference(rewrite,[status(thm)],[])).
% 219.14/141.70 tff(38442,plain,
% 219.14/141.70 (($false | $false | (v124(constB33, 2) <=> b011(2))) <=> (v124(constB33, 2) <=> b011(2))),
% 219.14/141.70 inference(rewrite,[status(thm)],[])).
% 219.14/141.70 tff(38443,plain,
% 219.14/141.70 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b011(2))) <=> ($false | $false | (v124(constB33, 2) <=> b011(2)))),
% 219.14/141.70 inference(monotonicity,[status(thm)],[534, 533])).
% 219.14/141.70 tff(38444,plain,
% 219.14/141.70 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b011(2))) <=> (v124(constB33, 2) <=> b011(2))),
% 219.14/141.70 inference(transitivity,[status(thm)],[38443, 38442])).
% 219.14/141.70 tff(38445,plain,
% 219.14/141.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 2) <=> b011(2)))),
% 219.14/141.70 inference(monotonicity,[status(thm)],[38444])).
% 219.14/141.70 tff(38446,plain,
% 219.14/141.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 2) <=> b011(2)))),
% 219.14/141.70 inference(transitivity,[status(thm)],[38445, 38441])).
% 219.14/141.70 tff(38447,plain,
% 219.14/141.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB33, 2) <=> b011(2)))),
% 219.14/141.70 inference(quant_inst,[status(thm)],[])).
% 219.14/141.70 tff(38448,plain,
% 219.14/141.70 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))) | (v124(constB33, 2) <=> b011(2))),
% 219.14/141.70 inference(modus_ponens,[status(thm)],[38447, 38446])).
% 219.14/141.70 tff(38449,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38448, 38440, 38439])).
% 219.14/141.70 tff(38450,plain,((~v115(constB33)) | (~v84(constB34, 2))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38451,plain,
% 219.14/141.70 (~v84(constB34, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38450, 38417])).
% 219.14/141.70 tff(38452,plain,
% 219.14/141.70 (~v84(constB35, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34866, 38451])).
% 219.14/141.70 tff(38453,plain,
% 219.14/141.70 (v124(constB33, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34480, 34362, 34361, 34360])).
% 219.14/141.70 tff(38454,plain,
% 219.14/141.70 (v121(constB33, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34315, 38453])).
% 219.14/141.70 tff(38455,plain,
% 219.14/141.70 (v123(constB34, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34310, 38454])).
% 219.14/141.70 tff(38456,plain,
% 219.14/141.70 (v110(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34172, 38417])).
% 219.14/141.70 tff(38457,plain,
% 219.14/141.70 (v110(constB33) | v117(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33989, 38456])).
% 219.14/141.70 tff(38458,plain,
% 219.14/141.70 (v109(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33870, 38457])).
% 219.14/141.70 tff(38459,plain,
% 219.14/141.70 (v109(constB33) | v118(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33872, 38458])).
% 219.14/141.70 tff(38460,plain,
% 219.14/141.70 (v108(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33875, 38459])).
% 219.14/141.70 tff(38461,plain,
% 219.14/141.70 (v108(constB33) | v119(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33877, 38460])).
% 219.14/141.70 tff(38462,plain,
% 219.14/141.70 (v107(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33880, 38461])).
% 219.14/141.70 tff(38463,plain,
% 219.14/141.70 (~((~v107(constB33)) | (~v120(constB33)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33888, 38462])).
% 219.14/141.70 tff(38464,plain,
% 219.14/141.70 (v106(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33891, 38463])).
% 219.14/141.70 tff(38465,plain,
% 219.14/141.70 (v105(constB33) | v106(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33893, 38464])).
% 219.14/141.70 tff(38466,plain,
% 219.14/141.70 (v102(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33896, 38465])).
% 219.14/141.70 tff(38467,plain,
% 219.14/141.70 (v104(constB34)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33899, 38466])).
% 219.14/141.70 tff(38468,plain,
% 219.14/141.70 (~((~v95(constB34)) | (~v104(constB34)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33930, 38467])).
% 219.14/141.70 tff(38469,plain,
% 219.14/141.70 (v94(constB34)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33933, 38468])).
% 219.14/141.70 tff(38470,plain,
% 219.14/141.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33861, 38469])).
% 219.14/141.70 tff(38471,plain,
% 219.14/141.70 (v84(constB34, 0) <=> v123(constB34, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34460, 38470])).
% 219.14/141.70 tff(38472,plain,
% 219.14/141.70 (v84(constB34, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33762, 38471, 38455])).
% 219.14/141.70 tff(38473,plain,
% 219.14/141.70 (v84(constB35, 0)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33439, 38472])).
% 219.14/141.70 tff(38474,plain,
% 219.14/141.70 (v121(constB33, 1) | (~v124(constB33, 1))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33618, 34439])).
% 219.14/141.70 tff(38475,plain,
% 219.14/141.70 (v121(constB33, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38474, 34701])).
% 219.14/141.70 tff(38476,plain,
% 219.14/141.70 (v123(constB34, 1) | (~v121(constB33, 1))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33615, 34445])).
% 219.14/141.70 tff(38477,plain,
% 219.14/141.70 (v123(constB34, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38476, 38475])).
% 219.14/141.70 tff(38478,assumption,(~(v84(constB34, 1) <=> v123(constB34, 1))), introduced(assumption)).
% 219.14/141.70 tff(38479,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33608, 33564, 38478])).
% 219.14/141.70 tff(38480,plain,((v84(constB34, 1) <=> v123(constB34, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB34, B) <=> v123(constB34, B))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38481,plain,
% 219.14/141.70 (v84(constB34, 1) <=> v123(constB34, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38480, 38470])).
% 219.14/141.70 tff(38482,plain,
% 219.14/141.70 (v84(constB34, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33612, 38481, 38477])).
% 219.14/141.70 tff(38483,plain,
% 219.14/141.70 (v84(constB35, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34011, 38482])).
% 219.14/141.70 tff(38484,plain,
% 219.14/141.70 ((~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))) | v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38485,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38484, 38483, 38473, 38414, 38452])).
% 219.14/141.70 tff(38486,plain,((~v124(constB33, 1)) | (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1)))) | v118(constB33) | v114(constB33) | v116(constB33)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38487,plain,
% 219.14/141.70 (~v124(constB33, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38486, 38416, 38414, 38413, 38411])).
% 219.14/141.70 tff(38488,plain,
% 219.14/141.70 ((v84(constB32, 0) | (~v84(constB32, 1)) | v84(constB32, 2)) | v84(constB32, 1)),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38489,plain,
% 219.14/141.70 (v84(constB32, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38488, 38406])).
% 219.14/141.70 tff(38490,plain,
% 219.14/141.70 (v84(constB33, 1)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[37165, 38489])).
% 219.14/141.70 tff(38491,plain,
% 219.14/141.70 ((v84(constB32, 0) | (~v84(constB32, 1)) | v84(constB32, 2)) | (~v84(constB32, 2))),
% 219.14/141.70 inference(tautology,[status(thm)],[])).
% 219.14/141.70 tff(38492,plain,
% 219.14/141.70 (~v84(constB32, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38491, 38406])).
% 219.14/141.70 tff(38493,plain,
% 219.14/141.70 (~v84(constB33, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34905, 38492])).
% 219.14/141.70 tff(38494,plain,
% 219.14/141.70 (~(v84(constB33, 2) | v84(constB33, 0) | (~v84(constB33, 1)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34190, 38493, 38490, 38409])).
% 219.14/141.70 tff(38495,plain,
% 219.14/141.70 (v115(constB33)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[34671, 38494])).
% 219.14/141.70 tff(38496,plain,
% 219.14/141.70 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB33, B) <=> b011(B)))),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33647, 38495])).
% 219.14/141.70 tff(38497,plain,
% 219.14/141.70 ($false),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[33636, 38496, 38487])).
% 219.14/141.70 tff(38498,plain,((v84(constB32, 0) | (~v84(constB32, 1)) | v84(constB32, 2)) | (~(v84(constB35, 2) | (~v84(constB35, 0)) | (~v84(constB35, 1))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.70 tff(38499,plain,
% 219.14/141.70 (v84(constB32, 0) | (~v84(constB32, 1)) | v84(constB32, 2)),
% 219.14/141.70 inference(unit_resolution,[status(thm)],[38498, 38405])).
% 219.14/141.70 tff(38500,assumption,(v84(constB32, 0) | (~v84(constB32, 1)) | v84(constB32, 2)), introduced(assumption)).
% 219.14/141.70 tff(38501,plain,
% 219.14/141.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 2) <=> b001(2)))),
% 219.14/141.70 inference(rewrite,[status(thm)],[])).
% 219.14/141.70 tff(38502,plain,
% 219.14/141.70 (($false | $false | (v124(constB29, 2) <=> b001(2))) <=> (v124(constB29, 2) <=> b001(2))),
% 219.14/141.70 inference(rewrite,[status(thm)],[])).
% 219.14/141.70 tff(38503,plain,
% 219.14/141.70 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b001(2))) <=> ($false | $false | (v124(constB29, 2) <=> b001(2)))),
% 219.14/141.70 inference(monotonicity,[status(thm)],[534, 533])).
% 219.14/141.70 tff(38504,plain,
% 219.14/141.70 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b001(2))) <=> (v124(constB29, 2) <=> b001(2))),
% 219.14/141.70 inference(transitivity,[status(thm)],[38503, 38502])).
% 219.14/141.70 tff(38505,plain,
% 219.14/141.70 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 2) <=> b001(2)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[38504])).
% 219.14/141.71 tff(38506,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 2) <=> b001(2)))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38505, 38501])).
% 219.14/141.71 tff(38507,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB29, 2) <=> b001(2)))),
% 219.14/141.71 inference(quant_inst,[status(thm)],[])).
% 219.14/141.71 tff(38508,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (v124(constB29, 2) <=> b001(2))),
% 219.14/141.71 inference(modus_ponens,[status(thm)],[38507, 38506])).
% 219.14/141.71 tff(38509,plain,
% 219.14/141.71 (v124(constB29, 2) <=> b001(2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38508, 37582])).
% 219.14/141.71 tff(38510,plain,
% 219.14/141.71 ((~(v124(constB29, 2) <=> b001(2))) | (~v124(constB29, 2)) | b001(2)),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38511,plain,
% 219.14/141.71 ((~(v124(constB29, 2) <=> b001(2))) | (~v124(constB29, 2))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38510, 1831])).
% 219.14/141.71 tff(38512,plain,
% 219.14/141.71 (~v124(constB29, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38511, 38509])).
% 219.14/141.71 tff(38513,plain,
% 219.14/141.71 (~v121(constB29, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35919, 38512])).
% 219.14/141.71 tff(38514,plain,
% 219.14/141.71 (~v123(constB30, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35925, 38513])).
% 219.14/141.71 tff(38515,plain,
% 219.14/141.71 (v124(constB29, 1) <=> b001(1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37616, 37582])).
% 219.14/141.71 tff(38516,plain,
% 219.14/141.71 ((~(v124(constB29, 1) <=> b001(1))) | (~v124(constB29, 1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37607, 1885])).
% 219.14/141.71 tff(38517,plain,
% 219.14/141.71 (~v124(constB29, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38516, 38515])).
% 219.14/141.71 tff(38518,plain,
% 219.14/141.71 (~v121(constB29, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35675, 38517])).
% 219.14/141.71 tff(38519,plain,
% 219.14/141.71 (~v123(constB30, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35689, 38518])).
% 219.14/141.71 tff(38520,assumption,(v123(constB30, 0)), introduced(assumption)).
% 219.14/141.71 tff(38521,plain,
% 219.14/141.71 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b011(B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35786, 35773])).
% 219.14/141.71 tff(38522,plain,
% 219.14/141.71 (~v115(constB31)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35771, 38521])).
% 219.14/141.71 tff(38523,plain,
% 219.14/141.71 ((~(v124(constB31, 2) <=> b010(2))) | (~v124(constB31, 2)) | b010(2)),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38524,plain,
% 219.14/141.71 (~(v124(constB31, 2) <=> b010(2))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38523, 2485, 35773])).
% 219.14/141.71 tff(38525,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 2) <=> b010(2)))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38526,plain,
% 219.14/141.71 (($false | $false | (v124(constB31, 2) <=> b010(2))) <=> (v124(constB31, 2) <=> b010(2))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38527,plain,
% 219.14/141.71 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b010(2))) <=> ($false | $false | (v124(constB31, 2) <=> b010(2)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[534, 533])).
% 219.14/141.71 tff(38528,plain,
% 219.14/141.71 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b010(2))) <=> (v124(constB31, 2) <=> b010(2))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38527, 38526])).
% 219.14/141.71 tff(38529,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 2) <=> b010(2)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[38528])).
% 219.14/141.71 tff(38530,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 2) <=> b010(2)))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38529, 38525])).
% 219.14/141.71 tff(38531,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b010(2)))),
% 219.14/141.71 inference(quant_inst,[status(thm)],[])).
% 219.14/141.71 tff(38532,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 2) <=> b010(2))),
% 219.14/141.71 inference(modus_ponens,[status(thm)],[38531, 38530])).
% 219.14/141.71 tff(38533,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38532, 37629, 38524])).
% 219.14/141.71 tff(38534,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (~v124(constB31, 2))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38535,plain,
% 219.14/141.71 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38534, 35773])).
% 219.14/141.71 tff(38536,plain,
% 219.14/141.71 (~v114(constB31)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37650, 38535])).
% 219.14/141.71 tff(38537,plain,
% 219.14/141.71 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36128, 35773])).
% 219.14/141.71 tff(38538,plain,
% 219.14/141.71 ((~(v107(constB29) <=> (v108(constB29) | v119(constB29)))) | (~(v108(constB29) | v119(constB29)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35458, 37457])).
% 219.14/141.71 tff(38539,plain,
% 219.14/141.71 (~(v108(constB29) | v119(constB29))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38538, 29636])).
% 219.14/141.71 tff(38540,plain,
% 219.14/141.71 (~v108(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34909, 38539])).
% 219.14/141.71 tff(38541,plain,
% 219.14/141.71 ((~(v108(constB29) <=> (v109(constB29) | v118(constB29)))) | (~(v109(constB29) | v118(constB29)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34911, 38540])).
% 219.14/141.71 tff(38542,plain,
% 219.14/141.71 (~(v109(constB29) | v118(constB29))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38541, 29638])).
% 219.14/141.71 tff(38543,plain,
% 219.14/141.71 (~v109(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34914, 38542])).
% 219.14/141.71 tff(38544,plain,
% 219.14/141.71 ((~(v109(constB29) <=> (v110(constB29) | v117(constB29)))) | (~(v110(constB29) | v117(constB29)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34916, 38543])).
% 219.14/141.71 tff(38545,plain,
% 219.14/141.71 (~(v110(constB29) | v117(constB29))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38544, 29640])).
% 219.14/141.71 tff(38546,plain,
% 219.14/141.71 (~v117(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34929, 38545])).
% 219.14/141.71 tff(38547,plain,
% 219.14/141.71 (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34931, 38546, 30963])).
% 219.14/141.71 tff(38548,plain,
% 219.14/141.71 (~v84(constB29, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37502, 37453, 37417, 37483, 37452])).
% 219.14/141.71 tff(38549,plain,
% 219.14/141.71 ((~(v114(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))))) | (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31379, 37483])).
% 219.14/141.71 tff(38550,plain,
% 219.14/141.71 (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38549, 29591])).
% 219.14/141.71 tff(38551,plain,
% 219.14/141.71 ((~(v84(constB30, 1) <=> v84(constB29, 1))) | (~v84(constB30, 1)) | v84(constB29, 1)),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38552,plain,
% 219.14/141.71 ((~(v84(constB30, 1) <=> v84(constB29, 1))) | (~v84(constB30, 1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38551, 38548])).
% 219.14/141.71 tff(38553,plain,
% 219.14/141.71 (~v84(constB30, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38552, 37472])).
% 219.14/141.71 tff(38554,plain,
% 219.14/141.71 ((~(v84(constB31, 1) <=> v84(constB30, 1))) | (~v84(constB31, 1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35696, 38553])).
% 219.14/141.71 tff(38555,plain,
% 219.14/141.71 (~v84(constB31, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38554, 29634])).
% 219.14/141.71 tff(38556,plain,
% 219.14/141.71 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38557,plain,
% 219.14/141.71 (((~v113(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38558,plain,
% 219.14/141.71 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[38557])).
% 219.14/141.71 tff(38559,plain,
% 219.14/141.71 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38558, 38556])).
% 219.14/141.71 tff(38560,plain,
% 219.14/141.71 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB31)) | ![B: $int] : ((v124(constB31, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.14/141.71 inference(quant_inst,[status(thm)],[])).
% 219.14/141.71 tff(38561,plain,
% 219.14/141.71 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB31)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B)))),
% 219.14/141.71 inference(modus_ponens,[status(thm)],[38560, 38559])).
% 219.14/141.71 tff(38562,plain,
% 219.14/141.71 (~v113(constB31)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38561, 2117, 37452])).
% 219.14/141.71 tff(38563,plain,
% 219.14/141.71 (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31389, 38562, 35847])).
% 219.14/141.71 tff(38564,plain,
% 219.14/141.71 (v84(constB31, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31401, 38563, 38555, 38550])).
% 219.14/141.71 tff(38565,plain,
% 219.14/141.71 ((~(v84(constB31, 2) <=> v84(constB30, 2))) | v84(constB30, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35929, 38564])).
% 219.14/141.71 tff(38566,plain,
% 219.14/141.71 (v84(constB30, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38565, 31214])).
% 219.14/141.71 tff(38567,plain,
% 219.14/141.71 ((~(v84(constB30, 2) <=> v84(constB29, 2))) | (~v84(constB30, 2)) | v84(constB29, 2)),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38568,plain,
% 219.14/141.71 ((~(v84(constB30, 2) <=> v84(constB29, 2))) | v84(constB29, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38567, 38566])).
% 219.14/141.71 tff(38569,plain,
% 219.14/141.71 (v84(constB29, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38568, 37471])).
% 219.14/141.71 tff(38570,plain,
% 219.14/141.71 ((~(v84(constB30, 2) <=> v84(constB29, 2))) | v84(constB29, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38567, 37320])).
% 219.14/141.71 tff(38571,plain,
% 219.14/141.71 (v84(constB29, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38570, 37471])).
% 219.14/141.71 tff(38572,plain,
% 219.14/141.71 ((~(v84(constB30, 1) <=> v84(constB29, 1))) | (~v84(constB29, 1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31135, 37437])).
% 219.14/141.71 tff(38573,plain,
% 219.14/141.71 (~v84(constB29, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38572, 37472])).
% 219.14/141.71 tff(38574,assumption,(v84(constB30, 0)), introduced(assumption)).
% 219.14/141.71 tff(38575,plain,
% 219.14/141.71 ((~(v84(constB30, 0) <=> v84(constB29, 0))) | v84(constB29, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37498, 38574])).
% 219.14/141.71 tff(38576,plain,
% 219.14/141.71 (v84(constB29, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38575, 37493])).
% 219.14/141.71 tff(38577,plain,
% 219.14/141.71 (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35437, 38576, 38573, 38571])).
% 219.14/141.71 tff(38578,plain,
% 219.14/141.71 ((~(v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))))) | v118(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35423, 38577])).
% 219.14/141.71 tff(38579,plain,
% 219.14/141.71 (v118(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38578, 31049])).
% 219.14/141.71 tff(38580,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35421, 38542, 38579])).
% 219.14/141.71 tff(38581,plain,(v102(constB29) | (~v84(constB30, 2)) | v84(constB30, 1) | (~v84(constB30, 0))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38582,plain,
% 219.14/141.71 (~v84(constB30, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38581, 38566, 37453, 38553])).
% 219.14/141.71 tff(38583,plain,
% 219.14/141.71 ((~(v84(constB30, 0) <=> v84(constB29, 0))) | (~v84(constB29, 0))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31166, 38582])).
% 219.14/141.71 tff(38584,plain,
% 219.14/141.71 (~v84(constB29, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38583, 37493])).
% 219.14/141.71 tff(38585,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34960, 38584, 38569, 38548, 38547])).
% 219.14/141.71 tff(38586,plain,(v102(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b001(B))) | v114(constB31) | v115(constB31)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38587,plain,
% 219.14/141.71 (v102(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38586, 38537, 38536, 38522])).
% 219.14/141.71 tff(38588,plain,
% 219.14/141.71 (v104(constB30)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35478, 38587])).
% 219.14/141.71 tff(38589,plain,
% 219.14/141.71 (~((~v95(constB30)) | (~v104(constB30)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35509, 38588])).
% 219.14/141.71 tff(38590,plain,
% 219.14/141.71 (v94(constB30)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35512, 38589])).
% 219.14/141.71 tff(38591,plain,
% 219.14/141.71 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35520, 38590])).
% 219.14/141.71 tff(38592,plain,
% 219.14/141.71 (v84(constB30, 0) <=> v123(constB30, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35557, 38591])).
% 219.14/141.71 tff(38593,plain,
% 219.14/141.71 (v84(constB30, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35740, 38592, 38520])).
% 219.14/141.71 tff(38594,plain,
% 219.14/141.71 (v84(constB31, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35745, 38593])).
% 219.14/141.71 tff(38595,plain,
% 219.14/141.71 (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31379, 38536, 36098])).
% 219.14/141.71 tff(38596,assumption,(~v123(constB30, 1)), introduced(assumption)).
% 219.14/141.71 tff(38597,plain,
% 219.14/141.71 (v84(constB30, 1) <=> v123(constB30, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35545, 38591])).
% 219.14/141.71 tff(38598,plain,
% 219.14/141.71 (~v84(constB30, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35691, 38597, 38596])).
% 219.14/141.71 tff(38599,plain,
% 219.14/141.71 (~v84(constB31, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35697, 38598])).
% 219.14/141.71 tff(38600,assumption,(~v123(constB30, 2)), introduced(assumption)).
% 219.14/141.71 tff(38601,plain,
% 219.14/141.71 (v84(constB30, 2) <=> v123(constB30, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35533, 38591])).
% 219.14/141.71 tff(38602,plain,
% 219.14/141.71 (~v84(constB30, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35927, 38601, 38600])).
% 219.14/141.71 tff(38603,plain,
% 219.14/141.71 (~v84(constB31, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35930, 38602])).
% 219.14/141.71 tff(38604,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31397, 38603, 38599, 38595, 38594])).
% 219.14/141.71 tff(38605,plain,((~v124(constB31, 2)) | v123(constB30, 2) | (~v123(constB30, 0)) | v123(constB30, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38606,plain,
% 219.14/141.71 (~v124(constB31, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38605, 38519, 37598, 38514])).
% 219.14/141.71 tff(38607,plain,
% 219.14/141.71 (~v121(constB31, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35800, 38606])).
% 219.14/141.71 tff(38608,plain,
% 219.14/141.71 (~v123(constB32, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35814, 38607])).
% 219.14/141.71 tff(38609,assumption,(v102(constB31)), introduced(assumption)).
% 219.14/141.71 tff(38610,plain,
% 219.14/141.71 (v104(constB32)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31316, 38609])).
% 219.14/141.71 tff(38611,plain,
% 219.14/141.71 (~((~v95(constB32)) | (~v104(constB32)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34399, 38610])).
% 219.14/141.71 tff(38612,plain,
% 219.14/141.71 (v94(constB32)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34402, 38611])).
% 219.14/141.71 tff(38613,plain,
% 219.14/141.71 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34410, 38612])).
% 219.14/141.71 tff(38614,plain,
% 219.14/141.71 (v84(constB32, 2) <=> v123(constB32, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35828, 38613])).
% 219.14/141.71 tff(38615,plain,
% 219.14/141.71 (~v84(constB32, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35816, 38614, 38608])).
% 219.14/141.71 tff(38616,plain,
% 219.14/141.71 (v84(constB32, 0) <=> v123(constB32, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34423, 38613])).
% 219.14/141.71 tff(38617,plain,
% 219.14/141.71 (v105(constB31) | v106(constB31)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31301, 38609])).
% 219.14/141.71 tff(38618,plain,
% 219.14/141.71 (v106(constB31)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31296, 38617])).
% 219.14/141.71 tff(38619,plain,
% 219.14/141.71 (~((~v107(constB31)) | (~v120(constB31)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31286, 38618])).
% 219.14/141.71 tff(38620,plain,
% 219.14/141.71 (v107(constB31)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31281, 38619])).
% 219.14/141.71 tff(38621,plain,
% 219.14/141.71 (v108(constB31) | v119(constB31)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37199, 38620])).
% 219.14/141.71 tff(38622,plain,
% 219.14/141.71 (v102(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38037, 38621])).
% 219.14/141.71 tff(38623,plain,
% 219.14/141.71 (v104(constB30)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35478, 38622])).
% 219.14/141.71 tff(38624,plain,
% 219.14/141.71 (~((~v95(constB30)) | (~v104(constB30)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35509, 38623])).
% 219.14/141.71 tff(38625,plain,
% 219.14/141.71 (v94(constB30)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35512, 38624])).
% 219.14/141.71 tff(38626,plain,
% 219.14/141.71 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35520, 38625])).
% 219.14/141.71 tff(38627,plain,
% 219.14/141.71 (v84(constB30, 1) <=> v123(constB30, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35545, 38626])).
% 219.14/141.71 tff(38628,plain,
% 219.14/141.71 ((~(v124(constB31, 2) <=> b110(2))) | v124(constB31, 2) | (~b110(2))),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38629,plain,
% 219.14/141.71 (~(v124(constB31, 2) <=> b110(2))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38628, 1598, 37992])).
% 219.14/141.71 tff(38630,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | (v124(constB31, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | (v124(constB31, 2) <=> b110(2)))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38631,plain,
% 219.14/141.71 (($false | $false | (v124(constB31, 2) <=> b110(2))) <=> (v124(constB31, 2) <=> b110(2))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38632,plain,
% 219.14/141.71 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b110(2))) <=> ($false | $false | (v124(constB31, 2) <=> b110(2)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[534, 533])).
% 219.14/141.71 tff(38633,plain,
% 219.14/141.71 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b110(2))) <=> (v124(constB31, 2) <=> b110(2))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38632, 38631])).
% 219.14/141.71 tff(38634,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | (v124(constB31, 2) <=> b110(2)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[38633])).
% 219.14/141.71 tff(38635,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | (v124(constB31, 2) <=> b110(2)))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38634, 38630])).
% 219.14/141.71 tff(38636,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB31, 2) <=> b110(2)))),
% 219.14/141.71 inference(quant_inst,[status(thm)],[])).
% 219.14/141.71 tff(38637,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | (v124(constB31, 2) <=> b110(2))),
% 219.14/141.71 inference(modus_ponens,[status(thm)],[38636, 38635])).
% 219.14/141.71 tff(38638,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38637, 34823, 38629])).
% 219.14/141.71 tff(38639,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))) | v124(constB31, 2)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38640,plain,
% 219.14/141.71 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b110(B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38639, 38606])).
% 219.14/141.71 tff(38641,plain,
% 219.14/141.71 (~v118(constB31)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34844, 38640])).
% 219.14/141.71 tff(38642,plain,
% 219.14/141.71 (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35563, 38641])).
% 219.14/141.71 tff(38643,plain,
% 219.14/141.71 (v84(constB30, 0) <=> v123(constB30, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35557, 38626])).
% 219.14/141.71 tff(38644,plain,
% 219.14/141.71 (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37618, 37582, 35650, 35699, 31392, 31394])).
% 219.14/141.71 tff(38645,plain,
% 219.14/141.71 (~v84(constB31, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31242, 38644])).
% 219.14/141.71 tff(38646,plain,
% 219.14/141.71 (~v84(constB30, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35745, 38645])).
% 219.14/141.71 tff(38647,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35740, 38646, 37598, 35699])).
% 219.14/141.71 tff(38648,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))) | (~(v84(constB30, 0) <=> v123(constB30, 0))) | (~(v84(constB30, 1) <=> v123(constB30, 1))) | (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))) | (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38649,plain,
% 219.14/141.71 (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38648, 38643, 37582, 38642, 38627])).
% 219.14/141.71 tff(38650,plain,
% 219.14/141.71 (v114(constB31)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37652, 38649])).
% 219.14/141.71 tff(38651,plain,
% 219.14/141.71 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37650, 38650])).
% 219.14/141.71 tff(38652,plain,
% 219.14/141.71 (~v124(constB31, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37639, 38651])).
% 219.14/141.71 tff(38653,plain,
% 219.14/141.71 (~v121(constB31, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34818, 38652])).
% 219.14/141.71 tff(38654,plain,
% 219.14/141.71 (~v123(constB32, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34797, 38653])).
% 219.14/141.71 tff(38655,plain,
% 219.14/141.71 (~v84(constB32, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34776, 38654, 38616])).
% 219.14/141.71 tff(38656,assumption,(~(v84(constB32, 1) <=> v123(constB32, 1))), introduced(assumption)).
% 219.14/141.71 tff(38657,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 1) <=> v123(constB32, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 1) <=> v123(constB32, 1)))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38658,plain,
% 219.14/141.71 (($false | $false | (v84(constB32, 1) <=> v123(constB32, 1))) <=> (v84(constB32, 1) <=> v123(constB32, 1))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38659,plain,
% 219.14/141.71 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB32, 1) <=> v123(constB32, 1))) <=> ($false | $false | (v84(constB32, 1) <=> v123(constB32, 1)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[402, 401])).
% 219.14/141.71 tff(38660,plain,
% 219.14/141.71 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB32, 1) <=> v123(constB32, 1))) <=> (v84(constB32, 1) <=> v123(constB32, 1))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38659, 38658])).
% 219.14/141.71 tff(38661,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB32, 1) <=> v123(constB32, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 1) <=> v123(constB32, 1)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[38660])).
% 219.14/141.71 tff(38662,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB32, 1) <=> v123(constB32, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 1) <=> v123(constB32, 1)))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38661, 38657])).
% 219.14/141.71 tff(38663,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v84(constB32, 1) <=> v123(constB32, 1)))),
% 219.14/141.71 inference(quant_inst,[status(thm)],[])).
% 219.14/141.71 tff(38664,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B)))) | (v84(constB32, 1) <=> v123(constB32, 1))),
% 219.14/141.71 inference(modus_ponens,[status(thm)],[38663, 38662])).
% 219.14/141.71 tff(38665,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38664, 34413, 38656])).
% 219.14/141.71 tff(38666,plain,((v84(constB32, 1) <=> v123(constB32, 1)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB32, B) <=> v123(constB32, B))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38667,plain,
% 219.14/141.71 (v84(constB32, 1) <=> v123(constB32, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38666, 38613])).
% 219.14/141.71 tff(38668,assumption,(~v124(constB31, 1)), introduced(assumption)).
% 219.14/141.71 tff(38669,plain,
% 219.14/141.71 ((~(v124(constB31, 1) <=> b010(1))) | v124(constB31, 1) | (~b010(1))),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38670,plain,
% 219.14/141.71 (~(v124(constB31, 1) <=> b010(1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38669, 2513, 38668])).
% 219.14/141.71 tff(38671,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 1) <=> b010(1)))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38672,plain,
% 219.14/141.71 (($false | $false | (v124(constB31, 1) <=> b010(1))) <=> (v124(constB31, 1) <=> b010(1))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38673,plain,
% 219.14/141.71 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB31, 1) <=> b010(1))) <=> ($false | $false | (v124(constB31, 1) <=> b010(1)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[402, 401])).
% 219.14/141.71 tff(38674,plain,
% 219.14/141.71 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB31, 1) <=> b010(1))) <=> (v124(constB31, 1) <=> b010(1))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38673, 38672])).
% 219.14/141.71 tff(38675,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB31, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 1) <=> b010(1)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[38674])).
% 219.14/141.71 tff(38676,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB31, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 1) <=> b010(1)))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38675, 38671])).
% 219.14/141.71 tff(38677,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB31, 1) <=> b010(1)))),
% 219.14/141.71 inference(quant_inst,[status(thm)],[])).
% 219.14/141.71 tff(38678,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | (v124(constB31, 1) <=> b010(1))),
% 219.14/141.71 inference(modus_ponens,[status(thm)],[38677, 38676])).
% 219.14/141.71 tff(38679,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38678, 37629, 38670])).
% 219.14/141.71 tff(38680,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b010(B)))) | v124(constB31, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38681,plain,
% 219.14/141.71 (v124(constB31, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38680, 38651])).
% 219.14/141.71 tff(38682,assumption,(~(v121(constB31, 1) <=> v124(constB31, 1))), introduced(assumption)).
% 219.14/141.71 tff(38683,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 1) <=> v124(constB31, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 1) <=> v124(constB31, 1)))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38684,plain,
% 219.14/141.71 (($false | $false | (v121(constB31, 1) <=> v124(constB31, 1))) <=> (v121(constB31, 1) <=> v124(constB31, 1))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38685,plain,
% 219.14/141.71 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB31, 1) <=> v124(constB31, 1))) <=> ($false | $false | (v121(constB31, 1) <=> v124(constB31, 1)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[402, 401])).
% 219.14/141.71 tff(38686,plain,
% 219.14/141.71 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB31, 1) <=> v124(constB31, 1))) <=> (v121(constB31, 1) <=> v124(constB31, 1))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38685, 38684])).
% 219.14/141.71 tff(38687,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB31, 1) <=> v124(constB31, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 1) <=> v124(constB31, 1)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[38686])).
% 219.14/141.71 tff(38688,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB31, 1) <=> v124(constB31, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 1) <=> v124(constB31, 1)))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38687, 38683])).
% 219.14/141.71 tff(38689,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v121(constB31, 1) <=> v124(constB31, 1)))),
% 219.14/141.71 inference(quant_inst,[status(thm)],[])).
% 219.14/141.71 tff(38690,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v121(constB31, B) <=> v124(constB31, B)))) | (v121(constB31, 1) <=> v124(constB31, 1))),
% 219.14/141.71 inference(modus_ponens,[status(thm)],[38689, 38688])).
% 219.14/141.71 tff(38691,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38690, 34806, 38682])).
% 219.14/141.71 tff(38692,plain,(v121(constB31, 1) <=> v124(constB31, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38693,plain,
% 219.14/141.71 ((~(v121(constB31, 1) <=> v124(constB31, 1))) | v121(constB31, 1) | (~v124(constB31, 1))),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38694,plain,
% 219.14/141.71 (v121(constB31, 1) | (~v124(constB31, 1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38693, 38692])).
% 219.14/141.71 tff(38695,plain,
% 219.14/141.71 (v121(constB31, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38694, 38681])).
% 219.14/141.71 tff(38696,assumption,(~(v123(constB32, 1) <=> v121(constB31, 1))), introduced(assumption)).
% 219.14/141.71 tff(38697,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 1) <=> v121(constB31, 1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 1) <=> v121(constB31, 1)))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38698,plain,
% 219.14/141.71 (($false | $false | (v123(constB32, 1) <=> v121(constB31, 1))) <=> (v123(constB32, 1) <=> v121(constB31, 1))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38699,plain,
% 219.14/141.71 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB32, 1) <=> v121(constB31, 1))) <=> ($false | $false | (v123(constB32, 1) <=> v121(constB31, 1)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[402, 401])).
% 219.14/141.71 tff(38700,plain,
% 219.14/141.71 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB32, 1) <=> v121(constB31, 1))) <=> (v123(constB32, 1) <=> v121(constB31, 1))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38699, 38698])).
% 219.14/141.71 tff(38701,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB32, 1) <=> v121(constB31, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 1) <=> v121(constB31, 1)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[38700])).
% 219.14/141.71 tff(38702,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB32, 1) <=> v121(constB31, 1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 1) <=> v121(constB31, 1)))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38701, 38697])).
% 219.14/141.71 tff(38703,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v123(constB32, 1) <=> v121(constB31, 1)))),
% 219.14/141.71 inference(quant_inst,[status(thm)],[])).
% 219.14/141.71 tff(38704,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v123(constB32, B) <=> v121(constB31, B)))) | (v123(constB32, 1) <=> v121(constB31, 1))),
% 219.14/141.71 inference(modus_ponens,[status(thm)],[38703, 38702])).
% 219.14/141.71 tff(38705,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38704, 34785, 38696])).
% 219.14/141.71 tff(38706,plain,(v123(constB32, 1) <=> v121(constB31, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38707,plain,
% 219.14/141.71 ((~(v123(constB32, 1) <=> v121(constB31, 1))) | v123(constB32, 1) | (~v121(constB31, 1))),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38708,plain,
% 219.14/141.71 (v123(constB32, 1) | (~v121(constB31, 1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38707, 38706])).
% 219.14/141.71 tff(38709,plain,
% 219.14/141.71 (v123(constB32, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38708, 38695])).
% 219.14/141.71 tff(38710,plain,
% 219.14/141.71 ((~(v84(constB32, 1) <=> v123(constB32, 1))) | v84(constB32, 1) | (~v123(constB32, 1))),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38711,plain,
% 219.14/141.71 (v84(constB32, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38710, 38709, 38667])).
% 219.14/141.71 tff(38712,plain,
% 219.14/141.71 ((~(v84(constB32, 0) | (~v84(constB32, 1)) | v84(constB32, 2))) | v84(constB32, 0) | (~v84(constB32, 1)) | v84(constB32, 2)),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38713,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38712, 38711, 38655, 38615, 38500])).
% 219.14/141.71 tff(38714,plain,((~v102(constB31)) | (~(v84(constB32, 0) | (~v84(constB32, 1)) | v84(constB32, 2))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38715,plain,
% 219.14/141.71 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38714, 37965, 38499])).
% 219.14/141.71 tff(38716,plain,
% 219.14/141.71 (~v114(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37562, 37686])).
% 219.14/141.71 tff(38717,plain,
% 219.14/141.71 (v84(constB28, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36140, 34939])).
% 219.14/141.71 tff(38718,assumption,(~v116(constB27)), introduced(assumption)).
% 219.14/141.71 tff(38719,assumption,(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))), introduced(assumption)).
% 219.14/141.71 tff(38720,assumption,(~v114(constB29)), introduced(assumption)).
% 219.14/141.71 tff(38721,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))), introduced(assumption)).
% 219.14/141.71 tff(38722,plain,
% 219.14/141.71 (~v84(constB26, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36855, 36801])).
% 219.14/141.71 tff(38723,plain,
% 219.14/141.71 (~v84(constB27, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37025, 38722])).
% 219.14/141.71 tff(38724,plain,
% 219.14/141.71 (~(v108(constB27) | v119(constB27))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37066, 35155])).
% 219.14/141.71 tff(38725,plain,
% 219.14/141.71 (~v108(constB27)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31022, 38724])).
% 219.14/141.71 tff(38726,plain,
% 219.14/141.71 (~(v109(constB27) | v118(constB27))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35046, 38725])).
% 219.14/141.71 tff(38727,plain,
% 219.14/141.71 (~v109(constB27)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31027, 38726])).
% 219.14/141.71 tff(38728,plain,
% 219.14/141.71 (~(v110(constB27) | v117(constB27))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35043, 38727])).
% 219.14/141.71 tff(38729,plain,
% 219.14/141.71 (~v84(constB28, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36146, 35166, 35258])).
% 219.14/141.71 tff(38730,plain,
% 219.14/141.71 (~(v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35275, 38729, 35151])).
% 219.14/141.71 tff(38731,plain,
% 219.14/141.71 (v113(constB27)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35149, 38730])).
% 219.14/141.71 tff(38732,plain,
% 219.14/141.71 (v113(constB27) | v114(constB27)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35023, 38731])).
% 219.14/141.71 tff(38733,plain,
% 219.14/141.71 (v110(constB27)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35039, 38732])).
% 219.14/141.71 tff(38734,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35041, 38733, 38728])).
% 219.14/141.71 tff(38735,plain,(v102(constB27) | v84(constB27, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38736,plain,
% 219.14/141.71 (v102(constB27)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38735, 38723])).
% 219.14/141.71 tff(38737,plain,
% 219.14/141.71 (v104(constB28)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35059, 38736])).
% 219.14/141.71 tff(38738,plain,
% 219.14/141.71 (~((~v95(constB28)) | (~v104(constB28)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35090, 38737])).
% 219.14/141.71 tff(38739,plain,
% 219.14/141.71 (v94(constB28)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35093, 38738])).
% 219.14/141.71 tff(38740,plain,
% 219.14/141.71 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35101, 38739])).
% 219.14/141.71 tff(38741,plain,
% 219.14/141.71 (v84(constB28, 1) <=> v123(constB28, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36154, 38740])).
% 219.14/141.71 tff(38742,assumption,(~v124(constB25, 2)), introduced(assumption)).
% 219.14/141.71 tff(38743,plain,
% 219.14/141.71 ((~(v124(constB25, 2) <=> b101(2))) | v124(constB25, 2) | (~b101(2))),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38744,plain,
% 219.14/141.71 (~(v124(constB25, 2) <=> b101(2))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38743, 2354, 38742])).
% 219.14/141.71 tff(38745,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))), introduced(assumption)).
% 219.14/141.71 tff(38746,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 2) <=> b101(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 2) <=> b101(2)))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38747,plain,
% 219.14/141.71 (($false | $false | (v124(constB25, 2) <=> b101(2))) <=> (v124(constB25, 2) <=> b101(2))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38748,plain,
% 219.14/141.71 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b101(2))) <=> ($false | $false | (v124(constB25, 2) <=> b101(2)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[534, 533])).
% 219.14/141.71 tff(38749,plain,
% 219.14/141.71 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b101(2))) <=> (v124(constB25, 2) <=> b101(2))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38748, 38747])).
% 219.14/141.71 tff(38750,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 2) <=> b101(2)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[38749])).
% 219.14/141.71 tff(38751,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b101(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 2) <=> b101(2)))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38750, 38746])).
% 219.14/141.71 tff(38752,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b101(2)))),
% 219.14/141.71 inference(quant_inst,[status(thm)],[])).
% 219.14/141.71 tff(38753,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 2) <=> b101(2))),
% 219.14/141.71 inference(modus_ponens,[status(thm)],[38752, 38751])).
% 219.14/141.71 tff(38754,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38753, 38745, 38744])).
% 219.14/141.71 tff(38755,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | v124(constB25, 2)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38756,plain,
% 219.14/141.71 (v124(constB25, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38755, 36809])).
% 219.14/141.71 tff(38757,plain,
% 219.14/141.71 (v121(constB25, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36974, 38756])).
% 219.14/141.71 tff(38758,plain,
% 219.14/141.71 (v123(constB26, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36988, 38757])).
% 219.14/141.71 tff(38759,plain,
% 219.14/141.71 (v102(constB25)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36724, 38722])).
% 219.14/141.71 tff(38760,plain,
% 219.14/141.71 (v104(constB26)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36599, 38759])).
% 219.14/141.71 tff(38761,plain,
% 219.14/141.71 (~((~v95(constB26)) | (~v104(constB26)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36596, 38760])).
% 219.14/141.71 tff(38762,plain,
% 219.14/141.71 (v94(constB26)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36565, 38761])).
% 219.14/141.71 tff(38763,plain,
% 219.14/141.71 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36562, 38762])).
% 219.14/141.71 tff(38764,plain,
% 219.14/141.71 (v84(constB26, 2) <=> v123(constB26, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36948, 38763])).
% 219.14/141.71 tff(38765,plain,
% 219.14/141.71 (v84(constB26, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36990, 38764, 38758])).
% 219.14/141.71 tff(38766,plain,
% 219.14/141.71 (v84(constB27, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36995, 38765])).
% 219.14/141.71 tff(38767,plain,
% 219.14/141.71 (v84(constB26, 0) <=> v123(constB26, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36554, 38763])).
% 219.14/141.71 tff(38768,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 0) <=> b101(0)))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38769,plain,
% 219.14/141.71 (($false | $false | (v124(constB25, 0) <=> b101(0))) <=> (v124(constB25, 0) <=> b101(0))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38770,plain,
% 219.14/141.71 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b101(0))) <=> ($false | $false | (v124(constB25, 0) <=> b101(0)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[250, 249])).
% 219.14/141.71 tff(38771,plain,
% 219.14/141.71 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b101(0))) <=> (v124(constB25, 0) <=> b101(0))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38770, 38769])).
% 219.14/141.71 tff(38772,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 0) <=> b101(0)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[38771])).
% 219.14/141.71 tff(38773,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 0) <=> b101(0)))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38772, 38768])).
% 219.14/141.71 tff(38774,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b101(0)))),
% 219.14/141.71 inference(quant_inst,[status(thm)],[])).
% 219.14/141.71 tff(38775,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))) | (v124(constB25, 0) <=> b101(0))),
% 219.14/141.71 inference(modus_ponens,[status(thm)],[38774, 38773])).
% 219.14/141.71 tff(38776,plain,
% 219.14/141.71 (v124(constB25, 0) <=> b101(0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38775, 36809])).
% 219.14/141.71 tff(38777,plain,
% 219.14/141.71 ((~(v124(constB25, 0) <=> b101(0))) | v124(constB25, 0) | (~b101(0))),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38778,plain,
% 219.14/141.71 ((~(v124(constB25, 0) <=> b101(0))) | v124(constB25, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38777, 2042])).
% 219.14/141.71 tff(38779,plain,
% 219.14/141.71 (v124(constB25, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38778, 38776])).
% 219.14/141.71 tff(38780,plain,
% 219.14/141.71 ((~(v121(constB25, 0) <=> v124(constB25, 0))) | v121(constB25, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36892, 38779])).
% 219.14/141.71 tff(38781,plain,
% 219.14/141.71 (v121(constB25, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38780, 37795])).
% 219.14/141.71 tff(38782,plain,
% 219.14/141.71 (v123(constB26, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[36890, 38781])).
% 219.14/141.71 tff(38783,plain,
% 219.14/141.71 ((~(v84(constB26, 0) <=> v123(constB26, 0))) | v84(constB26, 0) | (~v123(constB26, 0))),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38784,plain,
% 219.14/141.71 (v84(constB26, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38783, 38782, 38767])).
% 219.14/141.71 tff(38785,plain,
% 219.14/141.71 (v84(constB27, 0)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[30643, 38784])).
% 219.14/141.71 tff(38786,plain,
% 219.14/141.71 (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35269, 38785, 38766, 38723])).
% 219.14/141.71 tff(38787,plain,
% 219.14/141.71 (v118(constB27) | (v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35255, 35252])).
% 219.14/141.71 tff(38788,plain,
% 219.14/141.71 (v118(constB27)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38787, 38786])).
% 219.14/141.71 tff(38789,plain,
% 219.14/141.71 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35358, 38788])).
% 219.14/141.71 tff(38790,assumption,(~v124(constB27, 1)), introduced(assumption)).
% 219.14/141.71 tff(38791,plain,
% 219.14/141.71 ((~(v124(constB27, 1) <=> b110(1))) | v124(constB27, 1) | (~b110(1))),
% 219.14/141.71 inference(tautology,[status(thm)],[])).
% 219.14/141.71 tff(38792,plain,
% 219.14/141.71 (~(v124(constB27, 1) <=> b110(1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38791, 1662, 38790])).
% 219.14/141.71 tff(38793,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | (v124(constB27, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | (v124(constB27, 1) <=> b110(1)))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38794,plain,
% 219.14/141.71 (($false | $false | (v124(constB27, 1) <=> b110(1))) <=> (v124(constB27, 1) <=> b110(1))),
% 219.14/141.71 inference(rewrite,[status(thm)],[])).
% 219.14/141.71 tff(38795,plain,
% 219.14/141.71 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b110(1))) <=> ($false | $false | (v124(constB27, 1) <=> b110(1)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[402, 401])).
% 219.14/141.71 tff(38796,plain,
% 219.14/141.71 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b110(1))) <=> (v124(constB27, 1) <=> b110(1))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38795, 38794])).
% 219.14/141.71 tff(38797,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | (v124(constB27, 1) <=> b110(1)))),
% 219.14/141.71 inference(monotonicity,[status(thm)],[38796])).
% 219.14/141.71 tff(38798,plain,
% 219.14/141.71 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | (v124(constB27, 1) <=> b110(1)))),
% 219.14/141.71 inference(transitivity,[status(thm)],[38797, 38793])).
% 219.14/141.71 tff(38799,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB27, 1) <=> b110(1)))),
% 219.14/141.71 inference(quant_inst,[status(thm)],[])).
% 219.14/141.71 tff(38800,plain,
% 219.14/141.71 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | (v124(constB27, 1) <=> b110(1))),
% 219.14/141.71 inference(modus_ponens,[status(thm)],[38799, 38798])).
% 219.14/141.71 tff(38801,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38800, 35337, 38792])).
% 219.14/141.71 tff(38802,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))) | v124(constB27, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38803,plain,
% 219.14/141.71 (v124(constB27, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38802, 38789])).
% 219.14/141.71 tff(38804,plain,
% 219.14/141.71 (v121(constB27, 1) | (~v124(constB27, 1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35209, 36166])).
% 219.14/141.71 tff(38805,plain,
% 219.14/141.71 (v121(constB27, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38804, 38803])).
% 219.14/141.71 tff(38806,plain,
% 219.14/141.71 (v123(constB28, 1) | (~v121(constB27, 1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35242, 36160])).
% 219.14/141.71 tff(38807,plain,
% 219.14/141.71 (v123(constB28, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38806, 38805])).
% 219.14/141.71 tff(38808,plain,
% 219.14/141.71 (v84(constB28, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35239, 38807, 38741])).
% 219.14/141.71 tff(38809,plain,
% 219.14/141.71 (v84(constB29, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[34970, 38808])).
% 219.14/141.71 tff(38810,plain,
% 219.14/141.71 (v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31050, 38809])).
% 219.14/141.71 tff(38811,plain,
% 219.14/141.71 ((~(v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))))) | (~v118(constB29))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31052, 38810])).
% 219.14/141.71 tff(38812,plain,
% 219.14/141.71 (~v118(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38811, 31049])).
% 219.14/141.71 tff(38813,plain,
% 219.14/141.71 (v84(constB28, 2) <=> v123(constB28, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37877, 38740])).
% 219.14/141.71 tff(38814,plain,
% 219.14/141.71 (v124(constB27, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35347, 38789])).
% 219.14/141.71 tff(38815,plain,
% 219.14/141.71 ((~(v121(constB27, 2) <=> v124(constB27, 2))) | v121(constB27, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35297, 38814])).
% 219.14/141.71 tff(38816,plain,
% 219.14/141.71 (v121(constB27, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38815, 34987])).
% 219.14/141.71 tff(38817,plain,
% 219.14/141.71 (v123(constB28, 2) | (~v121(constB27, 2))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35294, 37928])).
% 219.14/141.71 tff(38818,plain,
% 219.14/141.71 (v123(constB28, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38817, 38816])).
% 219.14/141.71 tff(38819,plain,
% 219.14/141.71 (v84(constB28, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[35291, 38818, 38813])).
% 219.14/141.71 tff(38820,plain,
% 219.14/141.71 (v84(constB29, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[30893, 38819])).
% 219.14/141.71 tff(38821,plain,
% 219.14/141.71 (v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[30952, 38820])).
% 219.14/141.71 tff(38822,plain,
% 219.14/141.71 (~v116(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[30954, 38821, 30951])).
% 219.14/141.71 tff(38823,plain,
% 219.14/141.71 (v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37387, 38820])).
% 219.14/141.71 tff(38824,plain,
% 219.14/141.71 (~v115(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[30937, 38823, 30910])).
% 219.14/141.71 tff(38825,plain,
% 219.14/141.71 (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[30972, 38809])).
% 219.14/141.71 tff(38826,plain,
% 219.14/141.71 ((~(v117(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))))) | (~v117(constB29))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[31035, 38825])).
% 219.14/141.71 tff(38827,plain,
% 219.14/141.71 (~v117(constB29)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38826, 30963])).
% 219.14/141.71 tff(38828,assumption,(~v113(constB29)), introduced(assumption)).
% 219.14/141.71 tff(38829,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[37579, 1807, 38828, 38827, 38720, 38721, 38824, 38822, 38812])).
% 219.14/141.71 tff(38830,plain,((~v117(constB25)) | v113(constB29) | v114(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38831,plain,
% 219.14/141.71 (~v117(constB25)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38830, 38721, 38720, 37569])).
% 219.14/141.71 tff(38832,assumption,(~v102(constB13)), introduced(assumption)).
% 219.14/141.71 tff(38833,plain,
% 219.14/141.71 (~v104(constB14)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[21939, 38832])).
% 219.14/141.71 tff(38834,plain,
% 219.14/141.71 ((~v95(constB14)) | (~v104(constB14))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[21941, 38833])).
% 219.14/141.71 tff(38835,plain,
% 219.14/141.71 (~v94(constB14)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[21948, 38834])).
% 219.14/141.71 tff(38836,plain,
% 219.14/141.71 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[21956, 38835])).
% 219.14/141.71 tff(38837,plain,
% 219.14/141.71 (~(v105(constB13) | v106(constB13))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22961, 38832])).
% 219.14/141.71 tff(38838,plain,
% 219.14/141.71 (~v106(constB13)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22958, 38837])).
% 219.14/141.71 tff(38839,plain,
% 219.14/141.71 ((~v107(constB13)) | (~v120(constB13))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22956, 38838])).
% 219.14/141.71 tff(38840,plain,
% 219.14/141.71 (~v107(constB13)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22953, 38839])).
% 219.14/141.71 tff(38841,plain,
% 219.14/141.71 ((~(v107(constB13) <=> (v108(constB13) | v119(constB13)))) | (~(v108(constB13) | v119(constB13)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22944, 38840])).
% 219.14/141.71 tff(38842,plain,
% 219.14/141.71 (~(v108(constB13) | v119(constB13))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38841, 21701])).
% 219.14/141.71 tff(38843,plain,
% 219.14/141.71 (~v108(constB13)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22864, 38842])).
% 219.14/141.71 tff(38844,plain,
% 219.14/141.71 ((~(v108(constB13) <=> (v109(constB13) | v118(constB13)))) | (~(v109(constB13) | v118(constB13)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22866, 38843])).
% 219.14/141.71 tff(38845,plain,
% 219.14/141.71 (~(v109(constB13) | v118(constB13))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38844, 21778])).
% 219.14/141.71 tff(38846,plain,
% 219.14/141.71 (~v109(constB13)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22868, 38845])).
% 219.14/141.71 tff(38847,plain,
% 219.14/141.71 ((~(v109(constB13) <=> (v110(constB13) | v117(constB13)))) | (~(v110(constB13) | v117(constB13)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22870, 38846])).
% 219.14/141.71 tff(38848,plain,
% 219.14/141.71 (~(v110(constB13) | v117(constB13))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38847, 21780])).
% 219.14/141.71 tff(38849,plain,
% 219.14/141.71 (~v110(constB13)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22940, 38848])).
% 219.14/141.71 tff(38850,assumption,(~(v110(constB13) <=> (v111(constB13) | v116(constB13)))), introduced(assumption)).
% 219.14/141.71 tff(38851,plain,
% 219.14/141.71 ($false),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[21781, 265, 38850])).
% 219.14/141.71 tff(38852,plain,(v110(constB13) <=> (v111(constB13) | v116(constB13))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.71 tff(38853,plain,
% 219.14/141.71 (v110(constB13) | (~(v111(constB13) | v116(constB13)))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22938, 38852])).
% 219.14/141.71 tff(38854,plain,
% 219.14/141.71 (~(v111(constB13) | v116(constB13))),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[38853, 38849])).
% 219.14/141.71 tff(38855,plain,
% 219.14/141.71 (v84(constB13, 2)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22936, 38854])).
% 219.14/141.71 tff(38856,plain,
% 219.14/141.71 (v84(constB13, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22942, 38842])).
% 219.14/141.71 tff(38857,plain,
% 219.14/141.71 (v84(constB12, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[22849, 38856])).
% 219.14/141.71 tff(38858,plain,
% 219.14/141.71 (v123(constB12, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[20433, 38857, 20431])).
% 219.14/141.71 tff(38859,plain,
% 219.14/141.71 (v121(constB11, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[20072, 38858])).
% 219.14/141.71 tff(38860,plain,
% 219.14/141.71 (v124(constB11, 1)),
% 219.14/141.71 inference(unit_resolution,[status(thm)],[20048, 38859])).
% 219.14/141.71 tff(38861,plain,
% 219.14/141.71 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20587, 38860])).
% 219.14/141.72 tff(38862,plain,
% 219.14/141.72 (v84(constB14, 1) <=> v84(constB13, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22096, 38836])).
% 219.14/141.72 tff(38863,plain,
% 219.14/141.72 ((~(v84(constB14, 1) <=> v84(constB13, 1))) | v84(constB14, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22098, 38856])).
% 219.14/141.72 tff(38864,plain,
% 219.14/141.72 (v84(constB14, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38863, 38862])).
% 219.14/141.72 tff(38865,plain,
% 219.14/141.72 (v84(constB15, 1) | (~v84(constB14, 1))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22101, 27535])).
% 219.14/141.72 tff(38866,plain,
% 219.14/141.72 (v84(constB15, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38865, 38864])).
% 219.14/141.72 tff(38867,plain,
% 219.14/141.72 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[24477, 38866])).
% 219.14/141.72 tff(38868,plain,
% 219.14/141.72 (~v114(constB15)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23510, 38867])).
% 219.14/141.72 tff(38869,assumption,(~v94(constB14)), introduced(assumption)).
% 219.14/141.72 tff(38870,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v84(constB13, B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[21956, 38869])).
% 219.14/141.72 tff(38871,plain,
% 219.14/141.72 (v84(constB14, 1) <=> v84(constB13, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22096, 38870])).
% 219.14/141.72 tff(38872,plain,
% 219.14/141.72 ((~v95(constB14)) | (~v104(constB14))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22998, 38869])).
% 219.14/141.72 tff(38873,plain,
% 219.14/141.72 (~v104(constB14)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22995, 38872])).
% 219.14/141.72 tff(38874,plain,
% 219.14/141.72 (~v102(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22964, 38873])).
% 219.14/141.72 tff(38875,plain,
% 219.14/141.72 (~(v105(constB13) | v106(constB13))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22961, 38874])).
% 219.14/141.72 tff(38876,plain,
% 219.14/141.72 (~v106(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22958, 38875])).
% 219.14/141.72 tff(38877,plain,
% 219.14/141.72 ((~v107(constB13)) | (~v120(constB13))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22956, 38876])).
% 219.14/141.72 tff(38878,plain,
% 219.14/141.72 (~v107(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22953, 38877])).
% 219.14/141.72 tff(38879,plain,
% 219.14/141.72 ((~(v107(constB13) <=> (v108(constB13) | v119(constB13)))) | (~(v108(constB13) | v119(constB13)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22944, 38878])).
% 219.14/141.72 tff(38880,plain,
% 219.14/141.72 (~(v108(constB13) | v119(constB13))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38879, 21701])).
% 219.14/141.72 tff(38881,plain,
% 219.14/141.72 (v84(constB13, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22942, 38880])).
% 219.14/141.72 tff(38882,plain,
% 219.14/141.72 ((~(v84(constB14, 1) <=> v84(constB13, 1))) | v84(constB14, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22098, 38881])).
% 219.14/141.72 tff(38883,plain,
% 219.14/141.72 (v84(constB14, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38882, 38871])).
% 219.14/141.72 tff(38884,plain,
% 219.14/141.72 (((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)) | v84(constB11, 2)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(38885,plain,
% 219.14/141.72 ((~v84(constB11, 2)) | v84(constB11, 0) | v84(constB11, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38884, 23148])).
% 219.14/141.72 tff(38886,plain,
% 219.14/141.72 (~v117(constB11)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20413, 38885])).
% 219.14/141.72 tff(38887,plain,
% 219.14/141.72 (v84(constB12, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25239, 23245, 20601, 20599])).
% 219.14/141.72 tff(38888,plain,
% 219.14/141.72 (v84(constB13, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[21840, 38887])).
% 219.14/141.72 tff(38889,plain,
% 219.14/141.72 (v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[21842, 38888])).
% 219.14/141.72 tff(38890,plain,
% 219.14/141.72 (~v114(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[21849, 38889])).
% 219.14/141.72 tff(38891,assumption,(v112(constB13) | v115(constB13)), introduced(assumption)).
% 219.14/141.72 tff(38892,plain,
% 219.14/141.72 (v111(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22890, 38891, 21811])).
% 219.14/141.72 tff(38893,plain,
% 219.14/141.72 (v111(constB13) | v116(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22888, 38892])).
% 219.14/141.72 tff(38894,plain,
% 219.14/141.72 (v110(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22938, 38893, 21782])).
% 219.14/141.72 tff(38895,plain,
% 219.14/141.72 (v110(constB13) | v117(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22940, 38894])).
% 219.14/141.72 tff(38896,plain,
% 219.14/141.72 (v109(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22870, 38895, 21780])).
% 219.14/141.72 tff(38897,plain,
% 219.14/141.72 (v109(constB13) | v118(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22868, 38896])).
% 219.14/141.72 tff(38898,plain,
% 219.14/141.72 (v108(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22866, 38897, 21778])).
% 219.14/141.72 tff(38899,plain,
% 219.14/141.72 (v108(constB13) | v119(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22864, 38898])).
% 219.14/141.72 tff(38900,plain,
% 219.14/141.72 (v107(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22944, 38899, 21701])).
% 219.14/141.72 tff(38901,plain,
% 219.14/141.72 (~((~v107(constB13)) | (~v120(constB13)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22953, 38900])).
% 219.14/141.72 tff(38902,plain,
% 219.14/141.72 (v106(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22956, 38901])).
% 219.14/141.72 tff(38903,plain,
% 219.14/141.72 (v105(constB13) | v106(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22958, 38902])).
% 219.14/141.72 tff(38904,plain,
% 219.14/141.72 (v102(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22961, 38903])).
% 219.14/141.72 tff(38905,plain,
% 219.14/141.72 (v104(constB14)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22964, 38904])).
% 219.14/141.72 tff(38906,plain,
% 219.14/141.72 (~((~v95(constB14)) | (~v104(constB14)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22995, 38905])).
% 219.14/141.72 tff(38907,plain,
% 219.14/141.72 (v94(constB14)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22998, 38906])).
% 219.14/141.72 tff(38908,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23006, 38907])).
% 219.14/141.72 tff(38909,plain,
% 219.14/141.72 (v84(constB14, 2) <=> v123(constB14, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23017, 38908])).
% 219.14/141.72 tff(38910,plain,
% 219.14/141.72 ((~(v84(constB14, 2) <=> v123(constB14, 2))) | v123(constB14, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23205, 23187])).
% 219.14/141.72 tff(38911,plain,
% 219.14/141.72 (v123(constB14, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38910, 38909])).
% 219.14/141.72 tff(38912,plain,
% 219.14/141.72 ((~(v123(constB14, 2) <=> v121(constB13, 2))) | v121(constB13, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23207, 38911])).
% 219.14/141.72 tff(38913,plain,
% 219.14/141.72 (v121(constB13, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38912, 23068])).
% 219.14/141.72 tff(38914,plain,
% 219.14/141.72 (v84(constB14, 2) <=> v123(constB14, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23017, 23009])).
% 219.14/141.72 tff(38915,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 2) <=> b001(2)))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(38916,plain,
% 219.14/141.72 (($false | $false | (v124(constB13, 2) <=> b001(2))) <=> (v124(constB13, 2) <=> b001(2))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(38917,plain,
% 219.14/141.72 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b001(2))) <=> ($false | $false | (v124(constB13, 2) <=> b001(2)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[534, 533])).
% 219.14/141.72 tff(38918,plain,
% 219.14/141.72 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b001(2))) <=> (v124(constB13, 2) <=> b001(2))),
% 219.14/141.72 inference(transitivity,[status(thm)],[38917, 38916])).
% 219.14/141.72 tff(38919,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 2) <=> b001(2)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[38918])).
% 219.14/141.72 tff(38920,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 2) <=> b001(2)))),
% 219.14/141.72 inference(transitivity,[status(thm)],[38919, 38915])).
% 219.14/141.72 tff(38921,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b001(2)))),
% 219.14/141.72 inference(quant_inst,[status(thm)],[])).
% 219.14/141.72 tff(38922,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (v124(constB13, 2) <=> b001(2))),
% 219.14/141.72 inference(modus_ponens,[status(thm)],[38921, 38920])).
% 219.14/141.72 tff(38923,plain,
% 219.14/141.72 (v124(constB13, 2) <=> b001(2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38922, 27485])).
% 219.14/141.72 tff(38924,plain,
% 219.14/141.72 ((~(v124(constB13, 2) <=> b001(2))) | (~v124(constB13, 2)) | b001(2)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(38925,plain,
% 219.14/141.72 ((~(v124(constB13, 2) <=> b001(2))) | (~v124(constB13, 2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38924, 1831])).
% 219.14/141.72 tff(38926,plain,
% 219.14/141.72 (~v124(constB13, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38925, 38923])).
% 219.14/141.72 tff(38927,plain,
% 219.14/141.72 ((~(v121(constB13, 2) <=> v124(constB13, 2))) | (~v121(constB13, 2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23210, 38926])).
% 219.14/141.72 tff(38928,plain,
% 219.14/141.72 (~v121(constB13, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38927, 23067])).
% 219.14/141.72 tff(38929,plain,
% 219.14/141.72 ((~(v123(constB14, 2) <=> v121(constB13, 2))) | (~v123(constB14, 2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23207, 38928])).
% 219.14/141.72 tff(38930,plain,
% 219.14/141.72 (~v123(constB14, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38929, 23068])).
% 219.14/141.72 tff(38931,plain,
% 219.14/141.72 ((~(v84(constB14, 2) <=> v123(constB14, 2))) | (~v84(constB14, 2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23205, 38930])).
% 219.14/141.72 tff(38932,plain,
% 219.14/141.72 (~v84(constB14, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38931, 38914])).
% 219.14/141.72 tff(38933,plain,
% 219.14/141.72 ((~(v84(constB15, 2) <=> v84(constB14, 2))) | (~v84(constB15, 2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25244, 38932])).
% 219.14/141.72 tff(38934,plain,
% 219.14/141.72 (~v84(constB15, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38933, 23525])).
% 219.14/141.72 tff(38935,plain,
% 219.14/141.72 (~v84(constB14, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27523, 27483])).
% 219.14/141.72 tff(38936,plain,
% 219.14/141.72 ((~(v84(constB15, 1) <=> v84(constB14, 1))) | (~v84(constB15, 1))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27536, 38935])).
% 219.14/141.72 tff(38937,plain,
% 219.14/141.72 (~v84(constB15, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38936, 22088])).
% 219.14/141.72 tff(38938,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23917, 38937, 24767, 38934])).
% 219.14/141.72 tff(38939,plain,((~v113(constB13)) | v114(constB15) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(38940,plain,
% 219.14/141.72 (~v113(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38939, 38908, 23512])).
% 219.14/141.72 tff(38941,assumption,(~v114(constB13)), introduced(assumption)).
% 219.14/141.72 tff(38942,plain,
% 219.14/141.72 ((~(v113(constB13) | v114(constB13))) | v113(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[21858, 38941])).
% 219.14/141.72 tff(38943,plain,
% 219.14/141.72 (~(v113(constB13) | v114(constB13))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38942, 38940])).
% 219.14/141.72 tff(38944,plain,
% 219.14/141.72 (~v112(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[21860, 38943, 21827])).
% 219.14/141.72 tff(38945,plain,
% 219.14/141.72 (v115(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[21863, 38944, 38891])).
% 219.14/141.72 tff(38946,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23719, 38945])).
% 219.14/141.72 tff(38947,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | (v124(constB13, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | (v124(constB13, 2) <=> b011(2)))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(38948,plain,
% 219.14/141.72 (($false | $false | (v124(constB13, 2) <=> b011(2))) <=> (v124(constB13, 2) <=> b011(2))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(38949,plain,
% 219.14/141.72 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b011(2))) <=> ($false | $false | (v124(constB13, 2) <=> b011(2)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[534, 533])).
% 219.14/141.72 tff(38950,plain,
% 219.14/141.72 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b011(2))) <=> (v124(constB13, 2) <=> b011(2))),
% 219.14/141.72 inference(transitivity,[status(thm)],[38949, 38948])).
% 219.14/141.72 tff(38951,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | (v124(constB13, 2) <=> b011(2)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[38950])).
% 219.14/141.72 tff(38952,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | (v124(constB13, 2) <=> b011(2)))),
% 219.14/141.72 inference(transitivity,[status(thm)],[38951, 38947])).
% 219.14/141.72 tff(38953,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB13, 2) <=> b011(2)))),
% 219.14/141.72 inference(quant_inst,[status(thm)],[])).
% 219.14/141.72 tff(38954,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b011(B)))) | (v124(constB13, 2) <=> b011(2))),
% 219.14/141.72 inference(modus_ponens,[status(thm)],[38953, 38952])).
% 219.14/141.72 tff(38955,plain,
% 219.14/141.72 (v124(constB13, 2) <=> b011(2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38954, 38946])).
% 219.14/141.72 tff(38956,plain,
% 219.14/141.72 ((~(v124(constB13, 2) <=> b011(2))) | (~v124(constB13, 2)) | b011(2)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(38957,plain,
% 219.14/141.72 ((~(v124(constB13, 2) <=> b011(2))) | (~v124(constB13, 2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38956, 2569])).
% 219.14/141.72 tff(38958,plain,
% 219.14/141.72 (~v124(constB13, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38957, 38955])).
% 219.14/141.72 tff(38959,plain,
% 219.14/141.72 ((~(v121(constB13, 2) <=> v124(constB13, 2))) | (~v121(constB13, 2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23210, 38958])).
% 219.14/141.72 tff(38960,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38959, 38913, 23067])).
% 219.14/141.72 tff(38961,plain,((~(v112(constB13) | v115(constB13))) | (~v84(constB14, 2)) | v114(constB13) | v114(constB15)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(38962,plain,
% 219.14/141.72 (~(v112(constB13) | v115(constB13))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38961, 38890, 23512, 23187])).
% 219.14/141.72 tff(38963,plain,
% 219.14/141.72 (v84(constB13, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22934, 38962, 22893])).
% 219.14/141.72 tff(38964,plain,
% 219.14/141.72 (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22900, 38888, 22893, 38963])).
% 219.14/141.72 tff(38965,plain,
% 219.14/141.72 ((~(v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))))) | v116(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22898, 38964])).
% 219.14/141.72 tff(38966,plain,
% 219.14/141.72 (v116(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38965, 21789])).
% 219.14/141.72 tff(38967,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23811, 2230, 38966])).
% 219.14/141.72 tff(38968,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 1) <=> b100(1)))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(38969,plain,
% 219.14/141.72 (($false | $false | (v124(constB13, 1) <=> b100(1))) <=> (v124(constB13, 1) <=> b100(1))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(38970,plain,
% 219.14/141.72 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b100(1))) <=> ($false | $false | (v124(constB13, 1) <=> b100(1)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[402, 401])).
% 219.14/141.72 tff(38971,plain,
% 219.14/141.72 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b100(1))) <=> (v124(constB13, 1) <=> b100(1))),
% 219.14/141.72 inference(transitivity,[status(thm)],[38970, 38969])).
% 219.14/141.72 tff(38972,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 1) <=> b100(1)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[38971])).
% 219.14/141.72 tff(38973,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 1) <=> b100(1)))),
% 219.14/141.72 inference(transitivity,[status(thm)],[38972, 38968])).
% 219.14/141.72 tff(38974,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB13, 1) <=> b100(1)))),
% 219.14/141.72 inference(quant_inst,[status(thm)],[])).
% 219.14/141.72 tff(38975,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 1) <=> b100(1))),
% 219.14/141.72 inference(modus_ponens,[status(thm)],[38974, 38973])).
% 219.14/141.72 tff(38976,plain,
% 219.14/141.72 (v124(constB13, 1) <=> b100(1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38975, 38967])).
% 219.14/141.72 tff(38977,plain,
% 219.14/141.72 ((~(v124(constB13, 1) <=> b100(1))) | (~v124(constB13, 1)) | b100(1)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(38978,plain,
% 219.14/141.72 ((~(v124(constB13, 1) <=> b100(1))) | (~v124(constB13, 1))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38977, 2274])).
% 219.14/141.72 tff(38979,plain,
% 219.14/141.72 (~v124(constB13, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38978, 38976])).
% 219.14/141.72 tff(38980,plain,
% 219.14/141.72 ((~(v121(constB13, 1) <=> v124(constB13, 1))) | (~v121(constB13, 1))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27462, 38979])).
% 219.14/141.72 tff(38981,plain,
% 219.14/141.72 (~v121(constB13, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38980, 23540])).
% 219.14/141.72 tff(38982,plain,
% 219.14/141.72 (v111(constB13) | v116(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22936, 22893])).
% 219.14/141.72 tff(38983,plain,
% 219.14/141.72 ((~(v110(constB13) <=> (v111(constB13) | v116(constB13)))) | v110(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22938, 38982])).
% 219.14/141.72 tff(38984,plain,
% 219.14/141.72 (v110(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38983, 21782])).
% 219.14/141.72 tff(38985,plain,
% 219.14/141.72 (v110(constB13) | v117(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22940, 38984])).
% 219.14/141.72 tff(38986,plain,
% 219.14/141.72 (v109(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22870, 38985, 21780])).
% 219.14/141.72 tff(38987,plain,
% 219.14/141.72 (v109(constB13) | v118(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22868, 38986])).
% 219.14/141.72 tff(38988,plain,
% 219.14/141.72 (v108(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22866, 38987, 21778])).
% 219.14/141.72 tff(38989,plain,
% 219.14/141.72 (v108(constB13) | v119(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22864, 38988])).
% 219.14/141.72 tff(38990,plain,
% 219.14/141.72 (v107(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22944, 38989, 21701])).
% 219.14/141.72 tff(38991,plain,
% 219.14/141.72 (~((~v107(constB13)) | (~v120(constB13)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22953, 38990])).
% 219.14/141.72 tff(38992,plain,
% 219.14/141.72 (v106(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22956, 38991])).
% 219.14/141.72 tff(38993,plain,
% 219.14/141.72 (v105(constB13) | v106(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22958, 38992])).
% 219.14/141.72 tff(38994,plain,
% 219.14/141.72 (v102(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22961, 38993])).
% 219.14/141.72 tff(38995,plain,
% 219.14/141.72 (v104(constB14)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22964, 38994])).
% 219.14/141.72 tff(38996,plain,
% 219.14/141.72 (~((~v95(constB14)) | (~v104(constB14)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22995, 38995])).
% 219.14/141.72 tff(38997,plain,
% 219.14/141.72 (v94(constB14)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22998, 38996])).
% 219.14/141.72 tff(38998,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23006, 38997])).
% 219.14/141.72 tff(38999,plain,
% 219.14/141.72 (v84(constB14, 1) <=> v123(constB14, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23559, 38998])).
% 219.14/141.72 tff(39000,plain,
% 219.14/141.72 (v123(constB14, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27457, 38999])).
% 219.14/141.72 tff(39001,plain,
% 219.14/141.72 ((~(v123(constB14, 1) <=> v121(constB13, 1))) | v121(constB13, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27459, 39000])).
% 219.14/141.72 tff(39002,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39001, 38981, 23549])).
% 219.14/141.72 tff(39003,plain,(v84(constB13, 2) | (~v84(constB14, 1)) | v114(constB15) | (~v84(constB14, 2)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | v117(constB11)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39004,plain,
% 219.14/141.72 (v84(constB13, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39003, 38886, 23512, 23187, 20601, 27454])).
% 219.14/141.72 tff(39005,plain,
% 219.14/141.72 ((~v84(constB13, 1)) | v84(constB13, 2) | v84(constB13, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[21812, 39004])).
% 219.14/141.72 tff(39006,plain,
% 219.14/141.72 (~v115(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[21824, 39005])).
% 219.14/141.72 tff(39007,plain,
% 219.14/141.72 (v84(constB12, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22701, 39004])).
% 219.14/141.72 tff(39008,plain,
% 219.14/141.72 (v84(constB12, 0) <=> v123(constB12, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23284, 23171])).
% 219.14/141.72 tff(39009,plain,
% 219.14/141.72 (v123(constB12, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27399, 39008])).
% 219.14/141.72 tff(39010,plain,
% 219.14/141.72 ((~(v123(constB12, 0) <=> v121(constB11, 0))) | v121(constB11, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27401, 39009])).
% 219.14/141.72 tff(39011,plain,
% 219.14/141.72 (v121(constB11, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39010, 23264])).
% 219.14/141.72 tff(39012,plain,
% 219.14/141.72 ((~(v121(constB11, 0) <=> v124(constB11, 0))) | v124(constB11, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27404, 39011])).
% 219.14/141.72 tff(39013,plain,
% 219.14/141.72 (v124(constB11, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39012, 23255])).
% 219.14/141.72 tff(39014,plain,
% 219.14/141.72 ((~(v124(constB11, 0) <=> b100(0))) | (~v124(constB11, 0)) | b100(0)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39015,plain,
% 219.14/141.72 (~(v124(constB11, 0) <=> b100(0))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39014, 3674, 39013])).
% 219.14/141.72 tff(39016,plain,
% 219.14/141.72 (~v84(constB11, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25343, 20174])).
% 219.14/141.72 tff(39017,plain,
% 219.14/141.72 (v102(constB11)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23166, 39016])).
% 219.14/141.72 tff(39018,plain,
% 219.14/141.72 (v104(constB12)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20123, 39017])).
% 219.14/141.72 tff(39019,plain,
% 219.14/141.72 (~((~v95(constB12)) | (~v104(constB12)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20115, 39018])).
% 219.14/141.72 tff(39020,plain,
% 219.14/141.72 (v94(constB12)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20081, 39019])).
% 219.14/141.72 tff(39021,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20232, 39020])).
% 219.14/141.72 tff(39022,plain,
% 219.14/141.72 (v114(constB11)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[28071, 20174])).
% 219.14/141.72 tff(39023,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23351, 39022])).
% 219.14/141.72 tff(39024,assumption,(v124(constB11, 2)), introduced(assumption)).
% 219.14/141.72 tff(39025,plain,
% 219.14/141.72 ((~(v124(constB11, 2) <=> b010(2))) | (~v124(constB11, 2)) | b010(2)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39026,plain,
% 219.14/141.72 (~(v124(constB11, 2) <=> b010(2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39025, 2485, 39024])).
% 219.14/141.72 tff(39027,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 2) <=> b010(2)))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(39028,plain,
% 219.14/141.72 (($false | $false | (v124(constB11, 2) <=> b010(2))) <=> (v124(constB11, 2) <=> b010(2))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(39029,plain,
% 219.14/141.72 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b010(2))) <=> ($false | $false | (v124(constB11, 2) <=> b010(2)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[534, 533])).
% 219.14/141.72 tff(39030,plain,
% 219.14/141.72 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b010(2))) <=> (v124(constB11, 2) <=> b010(2))),
% 219.14/141.72 inference(transitivity,[status(thm)],[39029, 39028])).
% 219.14/141.72 tff(39031,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 2) <=> b010(2)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[39030])).
% 219.14/141.72 tff(39032,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 2) <=> b010(2)))),
% 219.14/141.72 inference(transitivity,[status(thm)],[39031, 39027])).
% 219.14/141.72 tff(39033,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB11, 2) <=> b010(2)))),
% 219.14/141.72 inference(quant_inst,[status(thm)],[])).
% 219.14/141.72 tff(39034,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (v124(constB11, 2) <=> b010(2))),
% 219.14/141.72 inference(modus_ponens,[status(thm)],[39033, 39032])).
% 219.14/141.72 tff(39035,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39034, 23330, 39026])).
% 219.14/141.72 tff(39036,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b010(B)))) | (~v124(constB11, 2))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39037,plain,
% 219.14/141.72 (~v124(constB11, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39036, 39023])).
% 219.14/141.72 tff(39038,plain,
% 219.14/141.72 (~v121(constB11, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23231, 39037])).
% 219.14/141.72 tff(39039,plain,
% 219.14/141.72 (~v123(constB12, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23236, 39038])).
% 219.14/141.72 tff(39040,plain,
% 219.14/141.72 (~(v84(constB12, 2) <=> v123(constB12, 2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22777, 39039, 22776])).
% 219.14/141.72 tff(39041,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20650, 39040, 39021])).
% 219.14/141.72 tff(39042,plain,((v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))) | (~v84(constB12, 2))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39043,plain,
% 219.14/141.72 (v84(constB11, 2) | v84(constB11, 1) | (~v84(constB11, 0))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39042, 22776])).
% 219.14/141.72 tff(39044,plain,
% 219.14/141.72 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23412, 23171, 23187])).
% 219.14/141.72 tff(39045,plain,
% 219.14/141.72 (~v113(constB11)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20610, 39044])).
% 219.14/141.72 tff(39046,plain,
% 219.14/141.72 (v113(constB11) | (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20279, 22724])).
% 219.14/141.72 tff(39047,plain,
% 219.14/141.72 (v84(constB11, 0) | v84(constB11, 1) | v84(constB11, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39046, 39045])).
% 219.14/141.72 tff(39048,plain,
% 219.14/141.72 (v84(constB11, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23272, 39047, 39043, 23148])).
% 219.14/141.72 tff(39049,plain,
% 219.14/141.72 (v84(constB11, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[23182, 39048, 23148, 22776])).
% 219.14/141.72 tff(39050,plain,
% 219.14/141.72 ((~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))) | (~v84(constB11, 0))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20498, 39048, 23148])).
% 219.14/141.72 tff(39051,plain,
% 219.14/141.72 (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39050, 39049])).
% 219.14/141.72 tff(39052,plain,
% 219.14/141.72 (v116(constB11)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20500, 39051, 20459])).
% 219.14/141.72 tff(39053,plain,
% 219.14/141.72 ((~v116(constB11)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22817, 2230])).
% 219.14/141.72 tff(39054,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39053, 39052])).
% 219.14/141.72 tff(39055,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 0) <=> b100(0)))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(39056,plain,
% 219.14/141.72 (($false | $false | (v124(constB11, 0) <=> b100(0))) <=> (v124(constB11, 0) <=> b100(0))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(39057,plain,
% 219.14/141.72 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b100(0))) <=> ($false | $false | (v124(constB11, 0) <=> b100(0)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[250, 249])).
% 219.14/141.72 tff(39058,plain,
% 219.14/141.72 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b100(0))) <=> (v124(constB11, 0) <=> b100(0))),
% 219.14/141.72 inference(transitivity,[status(thm)],[39057, 39056])).
% 219.14/141.72 tff(39059,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 0) <=> b100(0)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[39058])).
% 219.14/141.72 tff(39060,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 0) <=> b100(0)))),
% 219.14/141.72 inference(transitivity,[status(thm)],[39059, 39055])).
% 219.14/141.72 tff(39061,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB11, 0) <=> b100(0)))),
% 219.14/141.72 inference(quant_inst,[status(thm)],[])).
% 219.14/141.72 tff(39062,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b100(B)))) | (v124(constB11, 0) <=> b100(0))),
% 219.14/141.72 inference(modus_ponens,[status(thm)],[39061, 39060])).
% 219.14/141.72 tff(39063,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39062, 39054, 39015])).
% 219.14/141.72 tff(39064,plain,(v84(constB11, 2) | (~v84(constB12, 2)) | (~v84(constB12, 0)) | (~v84(constB14, 2))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39065,plain,
% 219.14/141.72 (~v84(constB12, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39064, 39007, 23148, 23187])).
% 219.14/141.72 tff(39066,plain,
% 219.14/141.72 (~v84(constB13, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27427, 39065])).
% 219.14/141.72 tff(39067,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27528, 39066, 39006, 27454, 39004])).
% 219.14/141.72 tff(39068,plain,(v84(constB11, 2) | (~v84(constB14, 1)) | (~v84(constB14, 2)) | v114(constB15) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39069,plain,
% 219.14/141.72 (v84(constB11, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39068, 38883, 23187, 23512, 20601])).
% 219.14/141.72 tff(39070,plain,
% 219.14/141.72 (v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20930, 39069])).
% 219.14/141.72 tff(39071,plain,
% 219.14/141.72 (v84(constB12, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22849, 38881])).
% 219.14/141.72 tff(39072,plain,
% 219.14/141.72 (v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[21842, 38881])).
% 219.14/141.72 tff(39073,plain,
% 219.14/141.72 (~v114(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[21849, 39072])).
% 219.14/141.72 tff(39074,plain,
% 219.14/141.72 (~(v112(constB13) | v115(constB13))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[38961, 39073, 23187, 23512])).
% 219.14/141.72 tff(39075,plain,
% 219.14/141.72 (~v115(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22918, 39074])).
% 219.14/141.72 tff(39076,plain,
% 219.14/141.72 (v84(constB13, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27531, 38883, 39075])).
% 219.14/141.72 tff(39077,plain,
% 219.14/141.72 (v84(constB12, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27427, 39076])).
% 219.14/141.72 tff(39078,plain,
% 219.14/141.72 (v115(constB11)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27424, 39077, 20601, 39071])).
% 219.14/141.72 tff(39079,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22626, 39078, 39070])).
% 219.14/141.72 tff(39080,plain,(v94(constB14) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B))) | (~v84(constB14, 2)) | v114(constB15)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39081,plain,
% 219.14/141.72 (~v84(constB14, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39080, 38868, 38835, 38861])).
% 219.14/141.72 tff(39082,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22003, 39081, 38855, 38836])).
% 219.14/141.72 tff(39083,plain,(v102(constB13) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39084,plain,
% 219.14/141.72 (v102(constB13)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39083, 22593])).
% 219.14/141.72 tff(39085,assumption,(~v117(constB25)), introduced(assumption)).
% 219.14/141.72 tff(39086,plain,
% 219.14/141.72 (v102(constB11)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[22588, 22538])).
% 219.14/141.72 tff(39087,plain,
% 219.14/141.72 (v104(constB12)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20123, 39086])).
% 219.14/141.72 tff(39088,plain,
% 219.14/141.72 (~((~v95(constB12)) | (~v104(constB12)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20115, 39087])).
% 219.14/141.72 tff(39089,plain,
% 219.14/141.72 (v94(constB12)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20081, 39088])).
% 219.14/141.72 tff(39090,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[20232, 39089])).
% 219.14/141.72 tff(39091,assumption,(~v102(constB23)), introduced(assumption)).
% 219.14/141.72 tff(39092,plain,
% 219.14/141.72 (~v104(constB24)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30070, 39091])).
% 219.14/141.72 tff(39093,plain,
% 219.14/141.72 ((~v95(constB24)) | (~v104(constB24))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30072, 39092])).
% 219.14/141.72 tff(39094,plain,
% 219.14/141.72 (~v94(constB24)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30079, 39093])).
% 219.14/141.72 tff(39095,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30087, 39094])).
% 219.14/141.72 tff(39096,plain,
% 219.14/141.72 (v84(constB24, 2) <=> v84(constB23, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30407, 39095])).
% 219.14/141.72 tff(39097,plain,
% 219.14/141.72 (~(v105(constB23) | v106(constB23))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[36220, 39091])).
% 219.14/141.72 tff(39098,plain,
% 219.14/141.72 (~v106(constB23)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[36217, 39097])).
% 219.14/141.72 tff(39099,plain,
% 219.14/141.72 ((~v107(constB23)) | (~v120(constB23))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[36215, 39098])).
% 219.14/141.72 tff(39100,plain,
% 219.14/141.72 (~v107(constB23)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[36212, 39099])).
% 219.14/141.72 tff(39101,plain,
% 219.14/141.72 ((~(v107(constB23) <=> (v108(constB23) | v119(constB23)))) | (~(v108(constB23) | v119(constB23)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[36204, 39100])).
% 219.14/141.72 tff(39102,plain,
% 219.14/141.72 (~(v108(constB23) | v119(constB23))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39101, 29743])).
% 219.14/141.72 tff(39103,plain,
% 219.14/141.72 (~v108(constB23)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[36202, 39102])).
% 219.14/141.72 tff(39104,plain,
% 219.14/141.72 ((~(v108(constB23) <=> (v109(constB23) | v118(constB23)))) | (~(v109(constB23) | v118(constB23)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[36200, 39103])).
% 219.14/141.72 tff(39105,plain,
% 219.14/141.72 (~(v109(constB23) | v118(constB23))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39104, 29745])).
% 219.14/141.72 tff(39106,plain,
% 219.14/141.72 ((v109(constB23) | v118(constB23)) | (~v118(constB23))),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39107,plain,
% 219.14/141.72 (~v118(constB23)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39106, 39105])).
% 219.14/141.72 tff(39108,plain,
% 219.14/141.72 ((v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))) | v84(constB25, 2)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39109,plain,
% 219.14/141.72 (v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39108, 36644])).
% 219.14/141.72 tff(39110,assumption,(~(v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))), introduced(assumption)).
% 219.14/141.72 tff(39111,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30457, 394, 39110])).
% 219.14/141.72 tff(39112,plain,(v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39113,plain,
% 219.14/141.72 ((~v118(constB25)) | (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30466, 39112])).
% 219.14/141.72 tff(39114,plain,
% 219.14/141.72 (~v118(constB25)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39113, 39109])).
% 219.14/141.72 tff(39115,plain,
% 219.14/141.72 (~v84(constB24, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[37753, 36644])).
% 219.14/141.72 tff(39116,assumption,(~v94(constB24)), introduced(assumption)).
% 219.14/141.72 tff(39117,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30087, 39116])).
% 219.14/141.72 tff(39118,plain,
% 219.14/141.72 (v84(constB24, 1) <=> v84(constB23, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30096, 39117])).
% 219.14/141.72 tff(39119,assumption,(~v84(constB24, 1)), introduced(assumption)).
% 219.14/141.72 tff(39120,plain,
% 219.14/141.72 ((~(v84(constB24, 1) <=> v84(constB23, 1))) | (~v84(constB23, 1))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30098, 39119])).
% 219.14/141.72 tff(39121,plain,
% 219.14/141.72 (~v84(constB23, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39120, 39118])).
% 219.14/141.72 tff(39122,plain,
% 219.14/141.72 (v84(constB24, 2) <=> v84(constB23, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30407, 39117])).
% 219.14/141.72 tff(39123,assumption,(~v84(constB24, 2)), introduced(assumption)).
% 219.14/141.72 tff(39124,plain,
% 219.14/141.72 ((~(v84(constB24, 2) <=> v84(constB23, 2))) | (~v84(constB23, 2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30409, 39123])).
% 219.14/141.72 tff(39125,plain,
% 219.14/141.72 (~v84(constB23, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39124, 39122])).
% 219.14/141.72 tff(39126,assumption,(~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2))), introduced(assumption)).
% 219.14/141.72 tff(39127,plain,
% 219.14/141.72 (~v84(constB23, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[30309, 39126])).
% 219.14/141.72 tff(39128,plain,
% 219.14/141.72 (~v84(constB23, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[29925, 39126])).
% 219.14/141.72 tff(39129,plain,
% 219.14/141.72 (~v84(constB22, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27982, 39128])).
% 219.14/141.72 tff(39130,plain,
% 219.14/141.72 ((v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)) | (~v84(constB23, 2))),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39131,plain,
% 219.14/141.72 (~v84(constB23, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39130, 39126])).
% 219.14/141.72 tff(39132,plain,
% 219.14/141.72 (~v84(constB22, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25489, 39131])).
% 219.14/141.72 tff(39133,assumption,(~v84(constB23, 0)), introduced(assumption)).
% 219.14/141.72 tff(39134,plain,
% 219.14/141.72 ((v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))) | v84(constB23, 0)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39135,plain,
% 219.14/141.72 (v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39134, 39133])).
% 219.14/141.72 tff(39136,plain,
% 219.14/141.72 (~v114(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26132, 26110])).
% 219.14/141.72 tff(39137,plain,
% 219.14/141.72 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26050, 39136, 26049])).
% 219.14/141.72 tff(39138,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))), introduced(assumption)).
% 219.14/141.72 tff(39139,plain,
% 219.14/141.72 (v84(constB22, 1) <=> v84(constB21, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25543, 39138])).
% 219.14/141.72 tff(39140,plain,
% 219.14/141.72 ((~(v84(constB22, 1) <=> v84(constB21, 1))) | (~v84(constB21, 1))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[29914, 26110])).
% 219.14/141.72 tff(39141,plain,
% 219.14/141.72 (~v84(constB21, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39140, 39139])).
% 219.14/141.72 tff(39142,plain,
% 219.14/141.72 (v84(constB22, 2) <=> v84(constB21, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25556, 39138])).
% 219.14/141.72 tff(39143,plain,
% 219.14/141.72 (~v84(constB21, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25560, 39142])).
% 219.14/141.72 tff(39144,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26171, 39143, 39141, 25806, 39137])).
% 219.14/141.72 tff(39145,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))) | v84(constB22, 2) | v84(constB22, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39146,plain,
% 219.14/141.72 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39145, 39135, 25558, 26110])).
% 219.14/141.72 tff(39147,plain,
% 219.14/141.72 (v94(constB22)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25534, 39146])).
% 219.14/141.72 tff(39148,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25691, 39147])).
% 219.14/141.72 tff(39149,plain,
% 219.14/141.72 (v84(constB22, 2) <=> v123(constB22, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25716, 39148])).
% 219.14/141.72 tff(39150,plain,
% 219.14/141.72 (~v123(constB22, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25919, 39149, 25558])).
% 219.14/141.72 tff(39151,plain,
% 219.14/141.72 (~v121(constB21, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25922, 39150])).
% 219.14/141.72 tff(39152,plain,
% 219.14/141.72 (~v124(constB21, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25925, 39151])).
% 219.14/141.72 tff(39153,plain,
% 219.14/141.72 (~(v124(constB21, 2) <=> b100(2))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26224, 2250, 39152])).
% 219.14/141.72 tff(39154,plain,
% 219.14/141.72 (~v84(constB22, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25804, 39133])).
% 219.14/141.72 tff(39155,plain,
% 219.14/141.72 (v84(constB22, 0) <=> v123(constB22, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25704, 39148])).
% 219.14/141.72 tff(39156,plain,
% 219.14/141.72 (~v123(constB22, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25790, 39155, 39154])).
% 219.14/141.72 tff(39157,plain,
% 219.14/141.72 (~v121(constB21, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25788, 39156])).
% 219.14/141.72 tff(39158,plain,
% 219.14/141.72 (~v124(constB21, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25767, 39157])).
% 219.14/141.72 tff(39159,plain,
% 219.14/141.72 ((~(v124(constB21, 0) <=> b101(0))) | v124(constB21, 0) | (~b101(0))),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39160,plain,
% 219.14/141.72 (~(v124(constB21, 0) <=> b101(0))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39159, 2042, 25734])).
% 219.14/141.72 tff(39161,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 0) <=> b101(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 0) <=> b101(0)))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(39162,plain,
% 219.14/141.72 (($false | $false | (v124(constB21, 0) <=> b101(0))) <=> (v124(constB21, 0) <=> b101(0))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(39163,plain,
% 219.14/141.72 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b101(0))) <=> ($false | $false | (v124(constB21, 0) <=> b101(0)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[250, 249])).
% 219.14/141.72 tff(39164,plain,
% 219.14/141.72 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b101(0))) <=> (v124(constB21, 0) <=> b101(0))),
% 219.14/141.72 inference(transitivity,[status(thm)],[39163, 39162])).
% 219.14/141.72 tff(39165,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 0) <=> b101(0)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[39164])).
% 219.14/141.72 tff(39166,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b101(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 0) <=> b101(0)))),
% 219.14/141.72 inference(transitivity,[status(thm)],[39165, 39161])).
% 219.14/141.72 tff(39167,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b101(0)))),
% 219.14/141.72 inference(quant_inst,[status(thm)],[])).
% 219.14/141.72 tff(39168,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 0) <=> b101(0))),
% 219.14/141.72 inference(modus_ponens,[status(thm)],[39167, 39166])).
% 219.14/141.72 tff(39169,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39168, 25930, 39160])).
% 219.14/141.72 tff(39170,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | v124(constB21, 0)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39171,plain,
% 219.14/141.72 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39170, 39158])).
% 219.14/141.72 tff(39172,plain,
% 219.14/141.72 (v84(constB22, 1) <=> v123(constB22, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25730, 39148])).
% 219.14/141.72 tff(39173,plain,
% 219.14/141.72 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25899, 39172, 39135, 39149, 39155])).
% 219.14/141.72 tff(39174,plain,
% 219.14/141.72 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27997, 39158])).
% 219.14/141.72 tff(39175,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))), introduced(assumption)).
% 219.14/141.72 tff(39176,plain,
% 219.14/141.72 (~v115(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27959, 2144, 39175])).
% 219.14/141.72 tff(39177,plain,
% 219.14/141.72 (~v117(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25949, 2090, 25943])).
% 219.14/141.72 tff(39178,plain,
% 219.14/141.72 ((v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))) | v84(constB21, 0)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39179,plain,
% 219.14/141.72 (v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39178, 26059])).
% 219.14/141.72 tff(39180,plain,
% 219.14/141.72 ((~(v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))))) | (~v118(constB21))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27070, 39179])).
% 219.14/141.72 tff(39181,plain,
% 219.14/141.72 (~v118(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39180, 27037])).
% 219.14/141.72 tff(39182,plain,
% 219.14/141.72 (((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)) | v84(constB21, 0)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39183,plain,
% 219.14/141.72 ((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39182, 26059])).
% 219.14/141.72 tff(39184,plain,
% 219.14/141.72 ((~(v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))))) | (~v116(constB21))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27033, 39183])).
% 219.14/141.72 tff(39185,plain,
% 219.14/141.72 (~v116(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39184, 25568])).
% 219.14/141.72 tff(39186,plain,
% 219.14/141.72 ((v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)) | v84(constB21, 0)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39187,plain,
% 219.14/141.72 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39186, 26059])).
% 219.14/141.72 tff(39188,plain,
% 219.14/141.72 ((~(v114(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))))) | (~v114(constB21))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27081, 39187])).
% 219.14/141.72 tff(39189,plain,
% 219.14/141.72 (~v114(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39188, 26079])).
% 219.14/141.72 tff(39190,plain,
% 219.14/141.72 (v115(constB21) | v117(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26272, 1807, 26249, 25901, 39189, 39185, 39181])).
% 219.14/141.72 tff(39191,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39190, 39177, 39176])).
% 219.14/141.72 tff(39192,plain,(v84(constB21, 0) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B))) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39193,plain,
% 219.14/141.72 (v84(constB21, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39192, 39174, 39173, 39171])).
% 219.14/141.72 tff(39194,plain,
% 219.14/141.72 ((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26816, 39193])).
% 219.14/141.72 tff(39195,plain,
% 219.14/141.72 ((~(v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))))) | (~v115(constB21))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26280, 39194])).
% 219.14/141.72 tff(39196,plain,
% 219.14/141.72 (~v115(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39195, 25585])).
% 219.14/141.72 tff(39197,plain,
% 219.14/141.72 (~v113(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25910, 39173])).
% 219.14/141.72 tff(39198,plain,
% 219.14/141.72 (~v123(constB22, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26111, 39172, 26110])).
% 219.14/141.72 tff(39199,plain,
% 219.14/141.72 (~v121(constB21, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[27978, 39198])).
% 219.14/141.72 tff(39200,plain,
% 219.14/141.72 (~v124(constB21, 1)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26128, 39199])).
% 219.14/141.72 tff(39201,plain,
% 219.14/141.72 ((~(v124(constB21, 1) <=> b110(1))) | v124(constB21, 1) | (~b110(1))),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39202,plain,
% 219.14/141.72 (~(v124(constB21, 1) <=> b110(1))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39201, 1662, 27962])).
% 219.14/141.72 tff(39203,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 1) <=> b110(1)))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(39204,plain,
% 219.14/141.72 (($false | $false | (v124(constB21, 1) <=> b110(1))) <=> (v124(constB21, 1) <=> b110(1))),
% 219.14/141.72 inference(rewrite,[status(thm)],[])).
% 219.14/141.72 tff(39205,plain,
% 219.14/141.72 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b110(1))) <=> ($false | $false | (v124(constB21, 1) <=> b110(1)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[402, 401])).
% 219.14/141.72 tff(39206,plain,
% 219.14/141.72 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b110(1))) <=> (v124(constB21, 1) <=> b110(1))),
% 219.14/141.72 inference(transitivity,[status(thm)],[39205, 39204])).
% 219.14/141.72 tff(39207,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 1) <=> b110(1)))),
% 219.14/141.72 inference(monotonicity,[status(thm)],[39206])).
% 219.14/141.72 tff(39208,plain,
% 219.14/141.72 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 1) <=> b110(1)))),
% 219.14/141.72 inference(transitivity,[status(thm)],[39207, 39203])).
% 219.14/141.72 tff(39209,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b110(1)))),
% 219.14/141.72 inference(quant_inst,[status(thm)],[])).
% 219.14/141.72 tff(39210,plain,
% 219.14/141.72 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 1) <=> b110(1))),
% 219.14/141.72 inference(modus_ponens,[status(thm)],[39209, 39208])).
% 219.14/141.72 tff(39211,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39210, 25967, 39202])).
% 219.14/141.72 tff(39212,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | v124(constB21, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39213,plain,
% 219.14/141.72 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39212, 39200])).
% 219.14/141.72 tff(39214,plain,
% 219.14/141.72 (~v118(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25986, 1977, 39213])).
% 219.14/141.72 tff(39215,assumption,(~v84(constB22, 0)), introduced(assumption)).
% 219.14/141.72 tff(39216,plain,
% 219.14/141.72 ((~v117(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25949, 2090])).
% 219.14/141.72 tff(39217,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39216, 25942])).
% 219.14/141.72 tff(39218,plain,
% 219.14/141.72 (v124(constB21, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39170, 39217])).
% 219.14/141.72 tff(39219,plain,
% 219.14/141.72 (v121(constB21, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25767, 39218])).
% 219.14/141.72 tff(39220,plain,
% 219.14/141.72 (v123(constB22, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25788, 39219])).
% 219.14/141.72 tff(39221,plain,
% 219.14/141.72 (~(v84(constB22, 0) <=> v123(constB22, 0))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25790, 39220, 39215])).
% 219.14/141.72 tff(39222,plain,
% 219.14/141.72 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25704, 39221])).
% 219.14/141.72 tff(39223,plain,
% 219.14/141.72 (~v94(constB22)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25691, 39222])).
% 219.14/141.72 tff(39224,plain,
% 219.14/141.72 ((~v95(constB22)) | (~v104(constB22))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25683, 39223])).
% 219.14/141.72 tff(39225,plain,
% 219.14/141.72 (~v104(constB22)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25680, 39224])).
% 219.14/141.72 tff(39226,plain,
% 219.14/141.72 ((v110(constB21) | v117(constB21)) | (~v117(constB21))),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39227,plain,
% 219.14/141.72 (v110(constB21) | v117(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39226, 25942])).
% 219.14/141.72 tff(39228,plain,
% 219.14/141.72 (v109(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25633, 39227, 25605])).
% 219.14/141.72 tff(39229,plain,
% 219.14/141.72 (v109(constB21) | v118(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25631, 39228])).
% 219.14/141.72 tff(39230,plain,
% 219.14/141.72 (v108(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25628, 39229, 25607])).
% 219.14/141.72 tff(39231,plain,
% 219.14/141.72 (v108(constB21) | v119(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25626, 39230])).
% 219.14/141.72 tff(39232,plain,
% 219.14/141.72 (v107(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25623, 39231, 25609])).
% 219.14/141.72 tff(39233,plain,
% 219.14/141.72 (~((~v107(constB21)) | (~v120(constB21)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25621, 39232])).
% 219.14/141.72 tff(39234,plain,
% 219.14/141.72 (v106(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25613, 39233])).
% 219.14/141.72 tff(39235,plain,
% 219.14/141.72 (v105(constB21) | v106(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25640, 39234])).
% 219.14/141.72 tff(39236,plain,
% 219.14/141.72 (v102(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25643, 39235])).
% 219.14/141.72 tff(39237,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25646, 39236, 39225])).
% 219.14/141.72 tff(39238,plain,((~v117(constB21)) | v84(constB22, 0)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39239,plain,
% 219.14/141.72 (~v117(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39238, 39154])).
% 219.14/141.72 tff(39240,plain,
% 219.14/141.72 (v113(constB21) | v115(constB21) | v116(constB21) | v118(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26272, 1807, 39136, 39239])).
% 219.14/141.72 tff(39241,plain,
% 219.14/141.72 (v116(constB21)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39240, 39214, 39173, 39197, 39196])).
% 219.14/141.72 tff(39242,plain,
% 219.14/141.72 ((~v116(constB21)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26245, 2230])).
% 219.14/141.72 tff(39243,plain,
% 219.14/141.72 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39242, 39241])).
% 219.14/141.72 tff(39244,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[26234, 39243, 39153])).
% 219.14/141.72 tff(39245,plain,(v84(constB23, 0) | v84(constB22, 1) | v84(constB22, 2)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39246,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39245, 39132, 39129, 39127])).
% 219.14/141.72 tff(39247,plain,(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.72 tff(39248,assumption,(~v84(constB23, 2)), introduced(assumption)).
% 219.14/141.72 tff(39249,assumption,(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)), introduced(assumption)).
% 219.14/141.72 tff(39250,assumption,(~v84(constB23, 1)), introduced(assumption)).
% 219.14/141.72 tff(39251,plain,
% 219.14/141.72 (~v84(constB23, 0)),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[25897, 39250, 25806, 39248])).
% 219.14/141.72 tff(39252,plain,
% 219.14/141.72 ((~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2))) | v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)),
% 219.14/141.72 inference(tautology,[status(thm)],[])).
% 219.14/141.72 tff(39253,plain,
% 219.14/141.72 ($false),
% 219.14/141.72 inference(unit_resolution,[status(thm)],[39252, 39251, 39250, 39249, 39248])).
% 219.14/141.72 tff(39254,plain,(v84(constB23, 1) | (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2))) | v84(constB23, 2) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.73 tff(39255,plain,
% 219.14/141.73 (v84(constB23, 1) | v84(constB23, 2) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39254, 39247])).
% 219.14/141.73 tff(39256,plain,
% 219.14/141.73 (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39255, 39125, 39121])).
% 219.14/141.73 tff(39257,plain,
% 219.14/141.73 ((~(v114(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))))) | v114(constB23) | (v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39258,plain,
% 219.14/141.73 ((~(v114(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))))) | v114(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39257, 39256])).
% 219.14/141.73 tff(39259,plain,
% 219.14/141.73 (v114(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39258, 29755])).
% 219.14/141.73 tff(39260,plain,
% 219.14/141.73 ((v113(constB23) | v114(constB23)) | (~v114(constB23))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39261,plain,
% 219.14/141.73 (v113(constB23) | v114(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39260, 39259])).
% 219.14/141.73 tff(39262,plain,
% 219.14/141.73 ((~(v112(constB23) <=> (v113(constB23) | v114(constB23)))) | v112(constB23) | (~(v113(constB23) | v114(constB23)))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39263,plain,
% 219.14/141.73 ((~(v112(constB23) <=> (v113(constB23) | v114(constB23)))) | v112(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39262, 39261])).
% 219.14/141.73 tff(39264,plain,
% 219.14/141.73 (v112(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39263, 29753])).
% 219.14/141.73 tff(39265,plain,
% 219.14/141.73 ((~v95(constB24)) | (~v104(constB24))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36257, 39116])).
% 219.14/141.73 tff(39266,plain,
% 219.14/141.73 (~v104(constB24)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36254, 39265])).
% 219.14/141.73 tff(39267,plain,
% 219.14/141.73 (~v102(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36223, 39266])).
% 219.14/141.73 tff(39268,plain,
% 219.14/141.73 (~(v105(constB23) | v106(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36220, 39267])).
% 219.14/141.73 tff(39269,plain,
% 219.14/141.73 (~v106(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36217, 39268])).
% 219.14/141.73 tff(39270,plain,
% 219.14/141.73 ((~v107(constB23)) | (~v120(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36215, 39269])).
% 219.14/141.73 tff(39271,plain,
% 219.14/141.73 (~v107(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36212, 39270])).
% 219.14/141.73 tff(39272,plain,
% 219.14/141.73 (~(v108(constB23) | v119(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36204, 39271, 29743])).
% 219.14/141.73 tff(39273,plain,
% 219.14/141.73 (~v108(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36202, 39272])).
% 219.14/141.73 tff(39274,plain,
% 219.14/141.73 (~(v109(constB23) | v118(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36200, 39273, 29745])).
% 219.14/141.73 tff(39275,plain,
% 219.14/141.73 (~v109(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36198, 39274])).
% 219.14/141.73 tff(39276,plain,
% 219.14/141.73 ((~(v109(constB23) <=> (v110(constB23) | v117(constB23)))) | (~(v110(constB23) | v117(constB23)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36196, 39275])).
% 219.14/141.73 tff(39277,plain,
% 219.14/141.73 (~(v110(constB23) | v117(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39276, 29747])).
% 219.14/141.73 tff(39278,plain,
% 219.14/141.73 (~v110(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36194, 39277])).
% 219.14/141.73 tff(39279,plain,
% 219.14/141.73 ((~(v110(constB23) <=> (v111(constB23) | v116(constB23)))) | (~(v111(constB23) | v116(constB23)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36192, 39278])).
% 219.14/141.73 tff(39280,plain,
% 219.14/141.73 (~(v111(constB23) | v116(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39279, 29749])).
% 219.14/141.73 tff(39281,plain,
% 219.14/141.73 (~v111(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36190, 39280])).
% 219.14/141.73 tff(39282,plain,
% 219.14/141.73 ((~(v111(constB23) <=> (v112(constB23) | v115(constB23)))) | (~(v112(constB23) | v115(constB23)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36188, 39281])).
% 219.14/141.73 tff(39283,plain,
% 219.14/141.73 (~(v112(constB23) | v115(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39282, 29751])).
% 219.14/141.73 tff(39284,plain,
% 219.14/141.73 ((v112(constB23) | v115(constB23)) | (~v112(constB23))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39285,plain,
% 219.14/141.73 ($false),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39284, 39283, 39264])).
% 219.14/141.73 tff(39286,plain,(v94(constB24) | v84(constB24, 2) | v84(constB24, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.73 tff(39287,plain,
% 219.14/141.73 (v84(constB24, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39286, 39115, 39116])).
% 219.14/141.73 tff(39288,assumption,(v84(constB24, 1)), introduced(assumption)).
% 219.14/141.73 tff(39289,plain,
% 219.14/141.73 ((~(v84(constB24, 1) <=> v84(constB23, 1))) | (~v84(constB24, 1)) | v84(constB23, 1)),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39290,plain,
% 219.14/141.73 ((~(v84(constB24, 1) <=> v84(constB23, 1))) | v84(constB23, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39289, 39288])).
% 219.14/141.73 tff(39291,plain,
% 219.14/141.73 (v84(constB23, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39290, 39118])).
% 219.14/141.73 tff(39292,plain,
% 219.14/141.73 (v84(constB24, 0) <=> v84(constB23, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30366, 39117])).
% 219.14/141.73 tff(39293,assumption,(~v84(constB24, 0)), introduced(assumption)).
% 219.14/141.73 tff(39294,plain,
% 219.14/141.73 ((~(v84(constB24, 0) <=> v84(constB23, 0))) | (~v84(constB23, 0))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30368, 39293])).
% 219.14/141.73 tff(39295,plain,
% 219.14/141.73 (~v84(constB23, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39294, 39292])).
% 219.14/141.73 tff(39296,plain,
% 219.14/141.73 ((~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))) | (~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39297,plain,
% 219.14/141.73 (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39296, 39125, 39295, 39291])).
% 219.14/141.73 tff(39298,plain,
% 219.14/141.73 ((~(v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))))) | v115(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[37033, 39297])).
% 219.14/141.73 tff(39299,plain,
% 219.14/141.73 (v115(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39298, 29941])).
% 219.14/141.73 tff(39300,plain,
% 219.14/141.73 (v112(constB23) | v115(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36186, 39299])).
% 219.14/141.73 tff(39301,plain,
% 219.14/141.73 ((~(v111(constB23) <=> (v112(constB23) | v115(constB23)))) | v111(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36188, 39300])).
% 219.14/141.73 tff(39302,plain,
% 219.14/141.73 (v111(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39301, 29751])).
% 219.14/141.73 tff(39303,plain,
% 219.14/141.73 (v111(constB23) | v116(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36190, 39302])).
% 219.14/141.73 tff(39304,plain,
% 219.14/141.73 ((~(v107(constB23) <=> (v108(constB23) | v119(constB23)))) | (~(v108(constB23) | v119(constB23)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36204, 39271])).
% 219.14/141.73 tff(39305,plain,
% 219.14/141.73 (~(v108(constB23) | v119(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39304, 29743])).
% 219.14/141.73 tff(39306,plain,
% 219.14/141.73 (~v108(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36202, 39305])).
% 219.14/141.73 tff(39307,plain,
% 219.14/141.73 ((~(v108(constB23) <=> (v109(constB23) | v118(constB23)))) | (~(v109(constB23) | v118(constB23)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36200, 39306])).
% 219.14/141.73 tff(39308,plain,
% 219.14/141.73 (~(v109(constB23) | v118(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39307, 29745])).
% 219.14/141.73 tff(39309,plain,
% 219.14/141.73 (~v109(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36198, 39308])).
% 219.14/141.73 tff(39310,plain,
% 219.14/141.73 ((~(v109(constB23) <=> (v110(constB23) | v117(constB23)))) | (~(v110(constB23) | v117(constB23)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36196, 39309])).
% 219.14/141.73 tff(39311,plain,
% 219.14/141.73 (~(v110(constB23) | v117(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39310, 29747])).
% 219.14/141.73 tff(39312,plain,
% 219.14/141.73 (~v110(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36194, 39311])).
% 219.14/141.73 tff(39313,plain,
% 219.14/141.73 ($false),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36192, 39312, 39303, 29749])).
% 219.14/141.73 tff(39314,plain,(v94(constB24) | v84(constB24, 2) | (~v84(constB24, 1)) | v84(constB24, 0)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.73 tff(39315,plain,
% 219.14/141.73 (v84(constB24, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39314, 39287, 39116, 39115])).
% 219.14/141.73 tff(39316,plain,
% 219.14/141.73 (v84(constB25, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30626, 39315])).
% 219.14/141.73 tff(39317,plain,
% 219.14/141.73 (v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36758, 39316])).
% 219.14/141.73 tff(39318,assumption,(~v118(constB23)), introduced(assumption)).
% 219.14/141.73 tff(39319,plain,
% 219.14/141.73 ((~(v84(constB24, 1) <=> v84(constB23, 1))) | v84(constB23, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39289, 39287])).
% 219.14/141.73 tff(39320,plain,
% 219.14/141.73 (v84(constB23, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39319, 39118])).
% 219.14/141.73 tff(39321,plain,
% 219.14/141.73 (v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[29981, 39320])).
% 219.14/141.73 tff(39322,plain,
% 219.14/141.73 ((v108(constB23) | v119(constB23)) | (~v119(constB23))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39323,plain,
% 219.14/141.73 (~v119(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39322, 39305])).
% 219.14/141.73 tff(39324,plain,
% 219.14/141.73 ((~(v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))))) | v119(constB23) | ((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39325,plain,
% 219.14/141.73 ((~(v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))))) | ((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39324, 39323])).
% 219.14/141.73 tff(39326,plain,
% 219.14/141.73 ((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39325, 30014])).
% 219.14/141.73 tff(39327,plain,
% 219.14/141.73 ((~(v110(constB23) <=> (v111(constB23) | v116(constB23)))) | (~(v111(constB23) | v116(constB23)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36192, 39312])).
% 219.14/141.73 tff(39328,plain,
% 219.14/141.73 (~(v111(constB23) | v116(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39327, 29749])).
% 219.14/141.73 tff(39329,plain,
% 219.14/141.73 (~v111(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36190, 39328])).
% 219.14/141.73 tff(39330,plain,
% 219.14/141.73 ((~(v111(constB23) <=> (v112(constB23) | v115(constB23)))) | (~(v112(constB23) | v115(constB23)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36188, 39329])).
% 219.14/141.73 tff(39331,plain,
% 219.14/141.73 (~(v112(constB23) | v115(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39330, 29751])).
% 219.14/141.73 tff(39332,plain,
% 219.14/141.73 (~v115(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36186, 39331])).
% 219.14/141.73 tff(39333,plain,
% 219.14/141.73 ((~(v115(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))))) | ((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[37033, 39332])).
% 219.14/141.73 tff(39334,plain,
% 219.14/141.73 ((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39333, 29941])).
% 219.14/141.73 tff(39335,plain,
% 219.14/141.73 ((v111(constB23) | v116(constB23)) | (~v116(constB23))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39336,plain,
% 219.14/141.73 (~v116(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39335, 39328])).
% 219.14/141.73 tff(39337,plain,
% 219.14/141.73 ((~(v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))))) | v116(constB23) | ((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39338,plain,
% 219.14/141.73 ((~(v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))))) | ((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39337, 39336])).
% 219.14/141.73 tff(39339,plain,
% 219.14/141.73 ((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39338, 29964])).
% 219.14/141.73 tff(39340,plain,
% 219.14/141.73 (~v112(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39284, 39331])).
% 219.14/141.73 tff(39341,plain,
% 219.14/141.73 ((~(v112(constB23) <=> (v113(constB23) | v114(constB23)))) | (~(v113(constB23) | v114(constB23)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39262, 39340])).
% 219.14/141.73 tff(39342,plain,
% 219.14/141.73 (~(v113(constB23) | v114(constB23))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39341, 29753])).
% 219.14/141.73 tff(39343,plain,
% 219.14/141.73 (~v114(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39260, 39342])).
% 219.14/141.73 tff(39344,plain,
% 219.14/141.73 ((~(v114(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))))) | (v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39257, 39343])).
% 219.14/141.73 tff(39345,plain,
% 219.14/141.73 (v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39344, 29755])).
% 219.14/141.73 tff(39346,assumption,((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)), introduced(assumption)).
% 219.14/141.73 tff(39347,plain,
% 219.14/141.73 (v84(constB23, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39254, 39248, 39249, 25806])).
% 219.14/141.73 tff(39348,plain,
% 219.14/141.73 (~v84(constB23, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[28003, 39347, 39248, 27984])).
% 219.14/141.73 tff(39349,plain,
% 219.14/141.73 ($false),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39296, 39348, 39347, 39248, 39346])).
% 219.14/141.73 tff(39350,plain,(v84(constB23, 2) | (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))) | (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))) | (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2))) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.73 tff(39351,plain,
% 219.14/141.73 (v84(constB23, 2) | (~((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0))) | (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39350, 39247])).
% 219.14/141.73 tff(39352,plain,
% 219.14/141.73 (v84(constB23, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39351, 39345, 39339, 39334])).
% 219.14/141.73 tff(39353,assumption,(v84(constB23, 2)), introduced(assumption)).
% 219.14/141.73 tff(39354,assumption,((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))), introduced(assumption)).
% 219.14/141.73 tff(39355,plain,
% 219.14/141.73 ((~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))) | (~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39356,plain,
% 219.14/141.73 (~v84(constB23, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39355, 39133, 39353, 39354])).
% 219.14/141.73 tff(39357,plain,
% 219.14/141.73 ((~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))) | v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39358,plain,
% 219.14/141.73 ($false),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39357, 39356, 39133, 39353, 38719])).
% 219.14/141.73 tff(39359,plain,(v84(constB23, 0) | (~v84(constB23, 2)) | (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))) | (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.73 tff(39360,plain,
% 219.14/141.73 (v84(constB23, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39359, 39352, 38719, 39326])).
% 219.14/141.73 tff(39361,plain,
% 219.14/141.73 ((~(v84(constB24, 0) <=> v84(constB23, 0))) | v84(constB24, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30368, 39360])).
% 219.14/141.73 tff(39362,plain,
% 219.14/141.73 (v84(constB24, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39361, 39292])).
% 219.14/141.73 tff(39363,plain,
% 219.14/141.73 (v84(constB25, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30626, 39362])).
% 219.14/141.73 tff(39364,plain,
% 219.14/141.73 (v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30447, 39363])).
% 219.14/141.73 tff(39365,plain,
% 219.14/141.73 ((~v119(constB25)) | (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30449, 36736])).
% 219.14/141.73 tff(39366,plain,
% 219.14/141.73 (~v119(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39365, 39364])).
% 219.14/141.73 tff(39367,plain,
% 219.14/141.73 (v108(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30452, 39366, 30444])).
% 219.14/141.73 tff(39368,plain,
% 219.14/141.73 ((~(v108(constB25) <=> (v109(constB25) | v118(constB25)))) | (v109(constB25) | v118(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30454, 39367])).
% 219.14/141.73 tff(39369,plain,
% 219.14/141.73 (v109(constB25) | v118(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39368, 30443])).
% 219.14/141.73 tff(39370,assumption,(~v118(constB25)), introduced(assumption)).
% 219.14/141.73 tff(39371,plain,
% 219.14/141.73 ((~(v109(constB25) | v118(constB25))) | v109(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30469, 39370])).
% 219.14/141.73 tff(39372,plain,
% 219.14/141.73 (v109(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39371, 39369])).
% 219.14/141.73 tff(39373,plain,
% 219.14/141.73 ((~(v109(constB25) <=> (v110(constB25) | v117(constB25)))) | (v110(constB25) | v117(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30472, 39372])).
% 219.14/141.73 tff(39374,plain,
% 219.14/141.73 (v110(constB25) | v117(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39373, 30441])).
% 219.14/141.73 tff(39375,plain,
% 219.14/141.73 ((~(v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))))) | v118(constB23) | (v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39376,plain,
% 219.14/141.73 ((~(v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))))) | (v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39375, 39318])).
% 219.14/141.73 tff(39377,plain,
% 219.14/141.73 (v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39376, 29997])).
% 219.14/141.73 tff(39378,plain,
% 219.14/141.73 ((~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))) | v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39379,plain,
% 219.14/141.73 (v84(constB23, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39378, 39360, 39352, 39377])).
% 219.14/141.73 tff(39380,plain,
% 219.14/141.73 ((~(v84(constB24, 1) <=> v84(constB23, 1))) | v84(constB24, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30098, 39379])).
% 219.14/141.73 tff(39381,plain,
% 219.14/141.73 (v84(constB24, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39380, 39118])).
% 219.14/141.73 tff(39382,plain,
% 219.14/141.73 (v84(constB25, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36387, 39381])).
% 219.14/141.73 tff(39383,plain,
% 219.14/141.73 (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30481, 39382])).
% 219.14/141.73 tff(39384,plain,
% 219.14/141.73 ((~(v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))) | (~v117(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30483, 39383])).
% 219.14/141.73 tff(39385,plain,
% 219.14/141.73 (~v117(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39384, 30480])).
% 219.14/141.73 tff(39386,plain,
% 219.14/141.73 (v110(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30486, 39385, 39374])).
% 219.14/141.73 tff(39387,plain,
% 219.14/141.73 ((~(v110(constB25) <=> (v111(constB25) | v116(constB25)))) | (v111(constB25) | v116(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30489, 39386])).
% 219.14/141.73 tff(39388,plain,
% 219.14/141.73 (v111(constB25) | v116(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39387, 30107])).
% 219.14/141.73 tff(39389,plain,
% 219.14/141.73 ((~(v84(constB24, 2) <=> v84(constB23, 2))) | v84(constB24, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30409, 39352])).
% 219.14/141.73 tff(39390,plain,
% 219.14/141.73 (v84(constB24, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39389, 39122])).
% 219.14/141.73 tff(39391,plain,
% 219.14/141.73 (v84(constB25, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[37753, 39390])).
% 219.14/141.73 tff(39392,plain,
% 219.14/141.73 (v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30432, 39391])).
% 219.14/141.73 tff(39393,plain,
% 219.14/141.73 ((~(v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))) | (~v116(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30434, 39392])).
% 219.14/141.73 tff(39394,plain,
% 219.14/141.73 (~v116(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39393, 30431])).
% 219.14/141.73 tff(39395,plain,
% 219.14/141.73 ((~(v111(constB25) | v116(constB25))) | v111(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30437, 39394])).
% 219.14/141.73 tff(39396,plain,
% 219.14/141.73 (v111(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39395, 39388])).
% 219.14/141.73 tff(39397,plain,
% 219.14/141.73 (v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30104, 39382])).
% 219.14/141.73 tff(39398,plain,
% 219.14/141.73 (~v114(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36766, 39397])).
% 219.14/141.73 tff(39399,plain,
% 219.14/141.73 (v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30374, 39363])).
% 219.14/141.73 tff(39400,plain,
% 219.14/141.73 ((~(v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))) | (~v113(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30376, 39399])).
% 219.14/141.73 tff(39401,plain,
% 219.14/141.73 (~v113(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39400, 30119])).
% 219.14/141.73 tff(39402,plain,
% 219.14/141.73 (~(v113(constB25) | v114(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30379, 39401, 39398])).
% 219.14/141.73 tff(39403,plain,
% 219.14/141.73 ((~(v112(constB25) <=> (v113(constB25) | v114(constB25)))) | (~v112(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30381, 39402])).
% 219.14/141.73 tff(39404,plain,
% 219.14/141.73 (~v112(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39403, 30111])).
% 219.14/141.73 tff(39405,assumption,(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))), introduced(assumption)).
% 219.14/141.73 tff(39406,plain,
% 219.14/141.73 ((~(v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))) | (~v115(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30417, 39405])).
% 219.14/141.73 tff(39407,plain,
% 219.14/141.73 (~v115(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39406, 30390])).
% 219.14/141.73 tff(39408,plain,
% 219.14/141.73 ((~(v112(constB25) | v115(constB25))) | v112(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30420, 39407])).
% 219.14/141.73 tff(39409,plain,
% 219.14/141.73 (~(v112(constB25) | v115(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39408, 39404])).
% 219.14/141.73 tff(39410,plain,
% 219.14/141.73 ($false),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30423, 39409, 39396, 30109])).
% 219.14/141.73 tff(39411,plain,(v94(constB24) | (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))) | v118(constB25) | (~(v108(constB25) | v119(constB25))) | (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))) | v118(constB23)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.73 tff(39412,plain,
% 219.14/141.73 (~(v108(constB25) | v119(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39411, 39321, 39116, 39318, 39317, 39114])).
% 219.14/141.73 tff(39413,plain,
% 219.14/141.73 (~v108(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36628, 39412])).
% 219.14/141.73 tff(39414,plain,
% 219.14/141.73 (v84(constB25, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36387, 39287])).
% 219.14/141.73 tff(39415,plain,
% 219.14/141.73 (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36482, 39316, 36644, 39414])).
% 219.14/141.73 tff(39416,plain,
% 219.14/141.73 ((~(v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))) | v116(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36322, 39415])).
% 219.14/141.73 tff(39417,plain,
% 219.14/141.73 (v116(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39416, 30431])).
% 219.14/141.73 tff(39418,plain,
% 219.14/141.73 (v111(constB25) | v116(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36777, 39417])).
% 219.14/141.73 tff(39419,plain,
% 219.14/141.73 ((~(v110(constB25) <=> (v111(constB25) | v116(constB25)))) | v110(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36647, 39418])).
% 219.14/141.73 tff(39420,plain,
% 219.14/141.73 (v110(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39419, 30107])).
% 219.14/141.73 tff(39421,plain,
% 219.14/141.73 (v110(constB25) | v117(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36645, 39420])).
% 219.14/141.73 tff(39422,plain,
% 219.14/141.73 (v109(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36635, 39421, 30441])).
% 219.14/141.73 tff(39423,plain,
% 219.14/141.73 (v109(constB25) | v118(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36633, 39422])).
% 219.14/141.73 tff(39424,plain,
% 219.14/141.73 ($false),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36630, 39423, 39413, 30443])).
% 219.14/141.73 tff(39425,plain,(v84(constB25, 2) | v94(constB24) | v118(constB23)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.73 tff(39426,plain,
% 219.14/141.73 (v84(constB25, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39425, 39094, 39107])).
% 219.14/141.73 tff(39427,plain,
% 219.14/141.73 (v84(constB24, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36436, 39426])).
% 219.14/141.73 tff(39428,plain,
% 219.14/141.73 ((~(v84(constB24, 2) <=> v84(constB23, 2))) | (~v84(constB24, 2)) | v84(constB23, 2)),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39429,plain,
% 219.14/141.73 ((~(v84(constB24, 2) <=> v84(constB23, 2))) | v84(constB23, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39428, 39427])).
% 219.14/141.73 tff(39430,plain,
% 219.14/141.73 (v84(constB23, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39429, 39096])).
% 219.14/141.73 tff(39431,plain,
% 219.14/141.73 ((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[25475, 39430])).
% 219.14/141.73 tff(39432,assumption,(~(v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))))), introduced(assumption)).
% 219.14/141.73 tff(39433,plain,
% 219.14/141.73 ($false),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[29996, 394, 39432])).
% 219.14/141.73 tff(39434,plain,(v118(constB23) <=> (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.14/141.73 tff(39435,plain,
% 219.14/141.73 (v118(constB23) | (v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39375, 39434])).
% 219.14/141.73 tff(39436,plain,
% 219.14/141.73 (v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39435, 39107])).
% 219.14/141.73 tff(39437,plain,
% 219.14/141.73 (v84(constB24, 1) <=> v84(constB23, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30096, 39095])).
% 219.14/141.73 tff(39438,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))), introduced(assumption)).
% 219.14/141.73 tff(39439,plain,
% 219.14/141.73 (v84(constB24, 1) <=> v84(constB23, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30096, 39438])).
% 219.14/141.73 tff(39440,assumption,(~v84(constB25, 1)), introduced(assumption)).
% 219.14/141.73 tff(39441,plain,
% 219.14/141.73 (~v84(constB24, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36387, 39440])).
% 219.14/141.73 tff(39442,plain,
% 219.14/141.73 ((~(v84(constB24, 1) <=> v84(constB23, 1))) | (~v84(constB23, 1))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30098, 39441])).
% 219.14/141.73 tff(39443,plain,
% 219.14/141.73 (~v84(constB23, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39442, 39439])).
% 219.14/141.73 tff(39444,assumption,(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))), introduced(assumption)).
% 219.14/141.73 tff(39445,plain,
% 219.14/141.73 (~v84(constB23, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39378, 39443, 39444, 39353])).
% 219.14/141.73 tff(39446,plain,
% 219.14/141.73 (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39357, 39445, 39443, 39353])).
% 219.14/141.73 tff(39447,plain,
% 219.14/141.73 (v117(constB23)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[37963, 39446])).
% 219.14/141.73 tff(39448,plain,
% 219.14/141.73 (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[37957, 39447])).
% 219.14/141.73 tff(39449,plain,
% 219.14/141.73 (~v84(constB29, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30864, 39448])).
% 219.14/141.73 tff(39450,plain,
% 219.14/141.73 (~v84(constB28, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[34970, 39449])).
% 219.14/141.73 tff(39451,assumption,(~v94(constB28)), introduced(assumption)).
% 219.14/141.73 tff(39452,plain,
% 219.14/141.73 ((~v95(constB28)) | (~v104(constB28))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[35093, 39451])).
% 219.14/141.73 tff(39453,plain,
% 219.14/141.73 (~v104(constB28)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[35090, 39452])).
% 219.14/141.73 tff(39454,plain,
% 219.14/141.73 (~v102(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[35059, 39453])).
% 219.14/141.73 tff(39455,plain,
% 219.14/141.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30844, 39451])).
% 219.14/141.73 tff(39456,plain,
% 219.14/141.73 (v84(constB28, 1) <=> v84(constB27, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30857, 39455])).
% 219.14/141.73 tff(39457,plain,
% 219.14/141.73 (~v84(constB27, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30859, 39456, 30997])).
% 219.14/141.73 tff(39458,plain,
% 219.14/141.73 ($false),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[38735, 39457, 39454])).
% 219.14/141.73 tff(39459,plain,(v94(constB28) | v84(constB28, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.73 tff(39460,plain,
% 219.14/141.73 (v94(constB28)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39459, 39450])).
% 219.14/141.73 tff(39461,plain,
% 219.14/141.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[35101, 39460])).
% 219.14/141.73 tff(39462,plain,
% 219.14/141.73 (v84(constB28, 1) <=> v123(constB28, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36154, 39461])).
% 219.14/141.73 tff(39463,plain,
% 219.14/141.73 (~v123(constB28, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[35239, 39462, 39450])).
% 219.14/141.73 tff(39464,plain,
% 219.14/141.73 (~v121(constB27, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[38806, 39463])).
% 219.14/141.73 tff(39465,plain,
% 219.14/141.73 (~v124(constB27, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[38804, 39464])).
% 219.14/141.73 tff(39466,plain,
% 219.14/141.73 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b110(B)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[38802, 39465])).
% 219.14/141.73 tff(39467,plain,
% 219.14/141.73 (~v118(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[35358, 39466])).
% 219.14/141.73 tff(39468,plain,
% 219.14/141.73 (~v107(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30498, 36731])).
% 219.14/141.73 tff(39469,plain,
% 219.14/141.73 ((~v107(constB25)) | (~v120(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30500, 39468])).
% 219.14/141.73 tff(39470,plain,
% 219.14/141.73 (~v106(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30505, 39469])).
% 219.14/141.73 tff(39471,plain,
% 219.14/141.73 (~(v105(constB25) | v106(constB25))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30515, 39470])).
% 219.14/141.73 tff(39472,plain,
% 219.14/141.73 (~v102(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30520, 39471])).
% 219.14/141.73 tff(39473,plain,
% 219.14/141.73 (v84(constB26, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36724, 39472])).
% 219.14/141.73 tff(39474,plain,
% 219.14/141.73 (v84(constB27, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30607, 39473])).
% 219.14/141.73 tff(39475,plain,
% 219.14/141.73 (v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36144, 39474])).
% 219.14/141.73 tff(39476,plain,
% 219.14/141.73 (~v117(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30678, 39475])).
% 219.14/141.73 tff(39477,assumption,(~v118(constB27)), introduced(assumption)).
% 219.14/141.73 tff(39478,plain,
% 219.14/141.73 ((v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)) | (~v84(constB27, 1))),
% 219.14/141.73 inference(tautology,[status(thm)],[])).
% 219.14/141.73 tff(39479,plain,
% 219.14/141.73 (v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39478, 39474])).
% 219.14/141.73 tff(39480,plain,
% 219.14/141.73 (v102(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[35275, 39479, 30997])).
% 219.14/141.73 tff(39481,plain,
% 219.14/141.73 (v105(constB27) | v106(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30817, 39480])).
% 219.14/141.73 tff(39482,plain,
% 219.14/141.73 (v106(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30812, 39481])).
% 219.14/141.73 tff(39483,plain,
% 219.14/141.73 (~((~v107(constB27)) | (~v120(constB27)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30802, 39482])).
% 219.14/141.73 tff(39484,plain,
% 219.14/141.73 (v107(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30797, 39483])).
% 219.14/141.73 tff(39485,plain,
% 219.14/141.73 ((~v107(constB27)) | (v108(constB27) | v119(constB27))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30795, 37065])).
% 219.14/141.73 tff(39486,plain,
% 219.14/141.73 (v108(constB27) | v119(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39485, 39484])).
% 219.14/141.73 tff(39487,plain,
% 219.14/141.73 (~v104(constB26)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30530, 39472])).
% 219.14/141.73 tff(39488,plain,
% 219.14/141.73 ((~v95(constB26)) | (~v104(constB26))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30532, 39487])).
% 219.14/141.73 tff(39489,plain,
% 219.14/141.73 (~v94(constB26)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30539, 39488])).
% 219.14/141.73 tff(39490,plain,
% 219.14/141.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30547, 39489])).
% 219.14/141.73 tff(39491,plain,
% 219.14/141.73 (v84(constB26, 0) <=> v84(constB25, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30618, 39490])).
% 219.14/141.73 tff(39492,plain,
% 219.14/141.73 (v84(constB26, 1) <=> v84(constB25, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30556, 39490])).
% 219.14/141.73 tff(39493,plain,
% 219.14/141.73 ((~(v84(constB26, 1) <=> v84(constB25, 1))) | v84(constB25, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36726, 39473])).
% 219.14/141.73 tff(39494,plain,
% 219.14/141.73 (v84(constB25, 1)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39493, 39492])).
% 219.14/141.73 tff(39495,plain,
% 219.14/141.73 (v84(constB25, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36756, 39494, 36731])).
% 219.14/141.73 tff(39496,plain,
% 219.14/141.73 ((~(v84(constB26, 0) <=> v84(constB25, 0))) | v84(constB26, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30628, 39495])).
% 219.14/141.73 tff(39497,plain,
% 219.14/141.73 (v84(constB26, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39496, 39491])).
% 219.14/141.73 tff(39498,plain,
% 219.14/141.73 (v84(constB27, 0)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30643, 39497])).
% 219.14/141.73 tff(39499,plain,
% 219.14/141.73 ((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30645, 39498])).
% 219.14/141.73 tff(39500,plain,
% 219.14/141.73 (~v119(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30657, 39499])).
% 219.14/141.73 tff(39501,plain,
% 219.14/141.73 (v108(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30793, 39500, 39486])).
% 219.14/141.73 tff(39502,plain,
% 219.14/141.73 (v109(constB27) | v118(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30791, 39501])).
% 219.14/141.73 tff(39503,plain,
% 219.14/141.73 (v109(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30784, 39502, 39477])).
% 219.14/141.73 tff(39504,plain,
% 219.14/141.73 (v110(constB27) | v117(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30782, 39503])).
% 219.14/141.73 tff(39505,plain,
% 219.14/141.73 (~v113(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30693, 39479])).
% 219.14/141.73 tff(39506,plain,
% 219.14/141.73 (~(v113(constB27) | v114(constB27))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30707, 39505, 35246])).
% 219.14/141.73 tff(39507,plain,
% 219.14/141.73 ((~(v112(constB27) <=> (v113(constB27) | v114(constB27)))) | (~v112(constB27))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30709, 39506])).
% 219.14/141.73 tff(39508,plain,
% 219.14/141.73 (~v112(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39507, 30685])).
% 219.14/141.73 tff(39509,plain,
% 219.14/141.73 ((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30719, 39498])).
% 219.14/141.73 tff(39510,plain,
% 219.14/141.73 (~v115(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[37882, 39509])).
% 219.14/141.73 tff(39511,plain,
% 219.14/141.73 (~(v112(constB27) | v115(constB27))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30724, 39510, 39508])).
% 219.14/141.73 tff(39512,plain,
% 219.14/141.73 (~v111(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30727, 39511, 30683])).
% 219.14/141.73 tff(39513,plain,
% 219.14/141.73 ((~(v111(constB27) | v116(constB27))) | v111(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30770, 38718])).
% 219.14/141.73 tff(39514,plain,
% 219.14/141.73 (~(v111(constB27) | v116(constB27))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39513, 39512])).
% 219.14/141.73 tff(39515,plain,
% 219.14/141.73 (~v110(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30773, 39514, 30681])).
% 219.14/141.73 tff(39516,plain,
% 219.14/141.73 ($false),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[30775, 39515, 39504, 39476])).
% 219.14/141.73 tff(39517,plain,((v108(constB25) | v119(constB25)) | v116(constB27) | v118(constB27) | v84(constB28, 1)), inference(lemma,lemma(discharge,[]))).
% 219.14/141.73 tff(39518,plain,
% 219.14/141.73 (v108(constB25) | v119(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39517, 39467, 39450, 38718])).
% 219.14/141.73 tff(39519,plain,
% 219.14/141.73 (v107(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36618, 39518])).
% 219.14/141.73 tff(39520,plain,
% 219.14/141.73 (~((~v107(constB25)) | (~v120(constB25)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36615, 39519])).
% 219.14/141.73 tff(39521,plain,
% 219.14/141.73 (v106(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36607, 39520])).
% 219.14/141.73 tff(39522,plain,
% 219.14/141.73 (v105(constB25) | v106(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36604, 39521])).
% 219.14/141.73 tff(39523,plain,
% 219.14/141.73 (v102(constB25)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36602, 39522])).
% 219.14/141.73 tff(39524,plain,
% 219.14/141.73 (v104(constB26)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36599, 39523])).
% 219.14/141.73 tff(39525,plain,
% 219.14/141.73 (~((~v95(constB26)) | (~v104(constB26)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36596, 39524])).
% 219.14/141.73 tff(39526,plain,
% 219.14/141.73 (v94(constB26)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36565, 39525])).
% 219.14/141.73 tff(39527,plain,
% 219.14/141.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36562, 39526])).
% 219.14/141.73 tff(39528,plain,
% 219.14/141.73 (v84(constB26, 2) <=> v123(constB26, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[36948, 39527])).
% 219.14/141.73 tff(39529,plain,
% 219.14/141.73 (~v114(constB27)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[35245, 39450])).
% 219.14/141.73 tff(39530,plain,
% 219.14/141.73 (v114(constB27) | (v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[35247, 35170])).
% 219.14/141.73 tff(39531,plain,
% 219.14/141.73 (v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[39530, 39529])).
% 219.14/141.73 tff(39532,plain,
% 219.14/141.73 (~(v124(constB25, 2) <=> b110(2))),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[37831, 1598, 38742])).
% 219.14/141.73 tff(39533,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))), introduced(assumption)).
% 219.14/141.73 tff(39534,plain,
% 219.14/141.73 ($false),
% 219.14/141.73 inference(unit_resolution,[status(thm)],[37829, 39533, 39532])).
% 219.14/141.73 tff(39535,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))) | v124(constB25, 2)), inference(lemma,lemma(discharge,[]))).
% 219.19/141.73 tff(39536,plain,
% 219.19/141.73 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39535, 38742])).
% 219.19/141.73 tff(39537,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))), introduced(assumption)).
% 219.19/141.73 tff(39538,assumption,(v118(constB25)), introduced(assumption)).
% 219.19/141.73 tff(39539,plain,
% 219.19/141.73 ($false),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[37801, 1977, 39538, 39537])).
% 219.19/141.73 tff(39540,plain,((~v118(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b110(B)))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.73 tff(39541,plain,
% 219.19/141.73 (~v118(constB25)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39540, 39536])).
% 219.19/141.73 tff(39542,plain,
% 219.19/141.73 ((~(v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))) | (v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36717, 39541])).
% 219.19/141.73 tff(39543,plain,
% 219.19/141.73 (v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39542, 30458])).
% 219.19/141.73 tff(39544,plain,
% 219.19/141.73 ((~v84(constB25, 1)) | v84(constB24, 1)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[37777, 36386])).
% 219.19/141.73 tff(39545,plain,
% 219.19/141.73 (~v84(constB25, 1)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39544, 37776])).
% 219.19/141.73 tff(39546,assumption,(v84(constB26, 2) <=> v123(constB26, 2)), introduced(assumption)).
% 219.19/141.73 tff(39547,assumption,(v84(constB26, 0) <=> v123(constB26, 0)), introduced(assumption)).
% 219.19/141.73 tff(39548,plain,
% 219.19/141.73 ((~(v121(constB25, 2) <=> v124(constB25, 2))) | (~v121(constB25, 2)) | v124(constB25, 2)),
% 219.19/141.73 inference(tautology,[status(thm)],[])).
% 219.19/141.73 tff(39549,plain,
% 219.19/141.73 ((~v121(constB25, 2)) | v124(constB25, 2)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39548, 36972])).
% 219.19/141.73 tff(39550,plain,
% 219.19/141.73 (~v121(constB25, 2)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39549, 38742])).
% 219.19/141.73 tff(39551,plain,
% 219.19/141.73 ((~(v123(constB26, 2) <=> v121(constB25, 2))) | (~v123(constB26, 2)) | v121(constB25, 2)),
% 219.19/141.73 inference(tautology,[status(thm)],[])).
% 219.19/141.73 tff(39552,plain,
% 219.19/141.73 ((~v123(constB26, 2)) | v121(constB25, 2)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39551, 36986])).
% 219.19/141.73 tff(39553,plain,
% 219.19/141.73 (~v123(constB26, 2)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39552, 39550])).
% 219.19/141.73 tff(39554,plain,
% 219.19/141.73 ((~(v84(constB26, 2) <=> v123(constB26, 2))) | (~v84(constB26, 2)) | v123(constB26, 2)),
% 219.19/141.73 inference(tautology,[status(thm)],[])).
% 219.19/141.73 tff(39555,plain,
% 219.19/141.73 (~v84(constB26, 2)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39554, 39553, 39546])).
% 219.19/141.73 tff(39556,plain,
% 219.19/141.73 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[38755, 38742])).
% 219.19/141.73 tff(39557,plain,
% 219.19/141.73 (~v117(constB25)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36808, 39556])).
% 219.19/141.73 tff(39558,plain,
% 219.19/141.73 (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36640, 39557, 30480])).
% 219.19/141.73 tff(39559,plain,
% 219.19/141.73 ((v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))) | v84(constB25, 0)),
% 219.19/141.73 inference(tautology,[status(thm)],[])).
% 219.19/141.73 tff(39560,plain,
% 219.19/141.73 (v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39559, 36730])).
% 219.19/141.73 tff(39561,assumption,(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))), introduced(assumption)).
% 219.19/141.73 tff(39562,plain,
% 219.19/141.73 ((~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))) | v84(constB25, 0) | (~v84(constB25, 2))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36722, 39440])).
% 219.19/141.73 tff(39563,plain,
% 219.19/141.73 (~v84(constB25, 2)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39562, 36730, 39561])).
% 219.19/141.73 tff(39564,plain,
% 219.19/141.73 (~v84(constB25, 0)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36711, 36644, 30114, 39440])).
% 219.19/141.73 tff(39565,plain,
% 219.19/141.73 (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36683, 39440, 36644, 39564])).
% 219.19/141.73 tff(39566,plain,
% 219.19/141.73 ((~(v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))) | v113(constB25)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36685, 39565])).
% 219.19/141.73 tff(39567,plain,
% 219.19/141.73 (v113(constB25)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39566, 30119])).
% 219.19/141.73 tff(39568,plain,
% 219.19/141.73 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B))))),
% 219.19/141.73 inference(rewrite,[status(thm)],[])).
% 219.19/141.73 tff(39569,plain,
% 219.19/141.73 (((~v113(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v113(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B))))),
% 219.19/141.73 inference(rewrite,[status(thm)],[])).
% 219.19/141.73 tff(39570,plain,
% 219.19/141.73 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))))),
% 219.19/141.73 inference(monotonicity,[status(thm)],[39569])).
% 219.19/141.73 tff(39571,plain,
% 219.19/141.73 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B))))),
% 219.19/141.73 inference(transitivity,[status(thm)],[39570, 39568])).
% 219.19/141.73 tff(39572,plain,
% 219.19/141.73 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v113(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.19/141.73 inference(quant_inst,[status(thm)],[])).
% 219.19/141.73 tff(39573,plain,
% 219.19/141.73 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b001(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v113(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.19/141.73 inference(modus_ponens,[status(thm)],[39572, 39571])).
% 219.19/141.73 tff(39574,plain,
% 219.19/141.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39573, 2117, 39567])).
% 219.19/141.73 tff(39575,plain,
% 219.19/141.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 1) <=> b001(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 1) <=> b001(1)))),
% 219.19/141.73 inference(rewrite,[status(thm)],[])).
% 219.19/141.73 tff(39576,plain,
% 219.19/141.73 (($false | $false | (v124(constB25, 1) <=> b001(1))) <=> (v124(constB25, 1) <=> b001(1))),
% 219.19/141.73 inference(rewrite,[status(thm)],[])).
% 219.19/141.73 tff(39577,plain,
% 219.19/141.73 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b001(1))) <=> ($false | $false | (v124(constB25, 1) <=> b001(1)))),
% 219.19/141.73 inference(monotonicity,[status(thm)],[402, 401])).
% 219.19/141.73 tff(39578,plain,
% 219.19/141.73 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b001(1))) <=> (v124(constB25, 1) <=> b001(1))),
% 219.19/141.73 inference(transitivity,[status(thm)],[39577, 39576])).
% 219.19/141.73 tff(39579,plain,
% 219.19/141.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 1) <=> b001(1)))),
% 219.19/141.73 inference(monotonicity,[status(thm)],[39578])).
% 219.19/141.73 tff(39580,plain,
% 219.19/141.73 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b001(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 1) <=> b001(1)))),
% 219.19/141.73 inference(transitivity,[status(thm)],[39579, 39575])).
% 219.19/141.73 tff(39581,plain,
% 219.19/141.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b001(1)))),
% 219.19/141.73 inference(quant_inst,[status(thm)],[])).
% 219.19/141.73 tff(39582,plain,
% 219.19/141.73 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 1) <=> b001(1))),
% 219.19/141.73 inference(modus_ponens,[status(thm)],[39581, 39580])).
% 219.19/141.73 tff(39583,plain,
% 219.19/141.73 (v124(constB25, 1) <=> b001(1)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39582, 39574])).
% 219.19/141.73 tff(39584,plain,
% 219.19/141.73 ((~(v84(constB26, 1) <=> v84(constB25, 1))) | (~v84(constB26, 1))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36726, 39440])).
% 219.19/141.73 tff(39585,plain,
% 219.19/141.73 (~v84(constB26, 1)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39584, 36680])).
% 219.19/141.73 tff(39586,plain,
% 219.19/141.73 ((~(v84(constB26, 0) <=> v84(constB25, 0))) | (~v84(constB26, 0))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36708, 36730])).
% 219.19/141.73 tff(39587,plain,
% 219.19/141.73 (~v84(constB26, 0)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39586, 36669])).
% 219.19/141.73 tff(39588,plain,
% 219.19/141.73 ($false),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36706, 39587, 36673, 36622, 39585])).
% 219.19/141.73 tff(39589,plain,(v102(constB25) | v84(constB25, 0) | v84(constB25, 2) | v84(constB25, 1)), inference(lemma,lemma(discharge,[]))).
% 219.19/141.73 tff(39590,plain,
% 219.19/141.73 (v102(constB25)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39589, 39564, 36644, 39440])).
% 219.19/141.73 tff(39591,plain,
% 219.19/141.73 (v104(constB26)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36599, 39590])).
% 219.19/141.73 tff(39592,plain,
% 219.19/141.73 (~((~v95(constB26)) | (~v104(constB26)))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36596, 39591])).
% 219.19/141.73 tff(39593,plain,
% 219.19/141.73 (v94(constB26)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36565, 39592])).
% 219.19/141.73 tff(39594,plain,
% 219.19/141.73 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36562, 39593])).
% 219.19/141.73 tff(39595,plain,
% 219.19/141.73 (v84(constB26, 1) <=> v123(constB26, 1)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36846, 39594])).
% 219.19/141.73 tff(39596,plain,
% 219.19/141.73 (v123(constB26, 1)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36850, 39595])).
% 219.19/141.73 tff(39597,plain,
% 219.19/141.73 ((~(v123(constB26, 1) <=> v121(constB25, 1))) | v121(constB25, 1)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36852, 39596])).
% 219.19/141.73 tff(39598,plain,
% 219.19/141.73 (v121(constB25, 1)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39597, 36791])).
% 219.19/141.73 tff(39599,plain,
% 219.19/141.73 ((~(v121(constB25, 1) <=> v124(constB25, 1))) | v124(constB25, 1)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[36822, 39598])).
% 219.19/141.73 tff(39600,plain,
% 219.19/141.73 (v124(constB25, 1)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39599, 36800])).
% 219.19/141.73 tff(39601,plain,
% 219.19/141.73 ((~(v124(constB25, 1) <=> b001(1))) | (~v124(constB25, 1)) | b001(1)),
% 219.19/141.73 inference(tautology,[status(thm)],[])).
% 219.19/141.73 tff(39602,plain,
% 219.19/141.73 ((~(v124(constB25, 1) <=> b001(1))) | (~v124(constB25, 1))),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39601, 1885])).
% 219.19/141.73 tff(39603,plain,
% 219.19/141.73 ($false),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39602, 39600, 39583])).
% 219.19/141.73 tff(39604,plain,(v84(constB25, 2) | (~v84(constB26, 1)) | v84(constB25, 1) | (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.73 tff(39605,plain,
% 219.19/141.73 (~v84(constB26, 1)),
% 219.19/141.73 inference(unit_resolution,[status(thm)],[39604, 39563, 39560, 39440])).
% 219.19/141.74 tff(39606,plain,
% 219.19/141.74 (~v84(constB27, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[37025, 39605])).
% 219.19/141.74 tff(39607,plain,
% 219.19/141.74 ((~(v84(constB27, 2) <=> v84(constB26, 2))) | (~v84(constB27, 2)) | v84(constB26, 2)),
% 219.19/141.74 inference(tautology,[status(thm)],[])).
% 219.19/141.74 tff(39608,plain,
% 219.19/141.74 ((~(v84(constB27, 2) <=> v84(constB26, 2))) | (~v84(constB27, 2))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39607, 36677])).
% 219.19/141.74 tff(39609,plain,
% 219.19/141.74 (~v84(constB27, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39608, 30744])).
% 219.19/141.74 tff(39610,plain,
% 219.19/141.74 (~v84(constB27, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[35267, 39609, 35266, 39606])).
% 219.19/141.74 tff(39611,plain,
% 219.19/141.74 (v123(constB26, 0) <=> v121(constB25, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36537, 36529])).
% 219.19/141.74 tff(39612,plain,
% 219.19/141.74 ((~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))) | v84(constB25, 0) | v84(constB25, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36683, 39440])).
% 219.19/141.74 tff(39613,plain,
% 219.19/141.74 (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39612, 39563, 36730])).
% 219.19/141.74 tff(39614,plain,
% 219.19/141.74 (v113(constB25)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36685, 39613, 30119])).
% 219.19/141.74 tff(39615,plain,
% 219.19/141.74 ((~v113(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39573, 2117])).
% 219.19/141.74 tff(39616,plain,
% 219.19/141.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39615, 39614])).
% 219.19/141.74 tff(39617,plain,
% 219.19/141.74 (v124(constB25, 0) <=> b001(0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36880, 39616])).
% 219.19/141.74 tff(39618,plain,
% 219.19/141.74 ((~(v124(constB25, 0) <=> b001(0))) | v124(constB25, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36870, 1940])).
% 219.19/141.74 tff(39619,plain,
% 219.19/141.74 (v124(constB25, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39618, 39617])).
% 219.19/141.74 tff(39620,plain,
% 219.19/141.74 ((~(v121(constB25, 0) <=> v124(constB25, 0))) | v121(constB25, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36892, 39619])).
% 219.19/141.74 tff(39621,plain,
% 219.19/141.74 (v121(constB25, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39620, 37795])).
% 219.19/141.74 tff(39622,plain,
% 219.19/141.74 ((~(v123(constB26, 0) <=> v121(constB25, 0))) | v123(constB26, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36889, 39621])).
% 219.19/141.74 tff(39623,plain,
% 219.19/141.74 (v123(constB26, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39622, 39611])).
% 219.19/141.74 tff(39624,plain,
% 219.19/141.74 (v84(constB26, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[38783, 39623, 39547])).
% 219.19/141.74 tff(39625,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[30643, 39624, 39610])).
% 219.19/141.74 tff(39626,plain,(v84(constB25, 0) | (~(v84(constB26, 0) <=> v123(constB26, 0))) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))) | v84(constB26, 2) | v84(constB25, 1) | (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39627,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39626, 39558, 39555, 36730, 35266, 39440, 39547])).
% 219.19/141.74 tff(39628,plain,(v124(constB25, 2) | v84(constB25, 0) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))) | v84(constB25, 1) | (~(v84(constB26, 0) <=> v123(constB26, 0))) | (~(v84(constB26, 2) <=> v123(constB26, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39629,plain,
% 219.19/141.74 (v84(constB25, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39628, 39545, 35266, 38742, 39547, 39546])).
% 219.19/141.74 tff(39630,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36720, 39629, 39545, 39543, 37754])).
% 219.19/141.74 tff(39631,plain,((~v117(constB23)) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))) | v124(constB25, 2) | (~(v84(constB26, 0) <=> v123(constB26, 0))) | (~(v84(constB26, 2) <=> v123(constB26, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39632,plain,
% 219.19/141.74 ((~v117(constB23)) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))) | v124(constB25, 2) | (~(v84(constB26, 2) <=> v123(constB26, 2)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39631, 36894])).
% 219.19/141.74 tff(39633,plain,
% 219.19/141.74 (v124(constB25, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39632, 39528, 39447, 39531])).
% 219.19/141.74 tff(39634,plain,
% 219.19/141.74 (v121(constB25, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36974, 39633])).
% 219.19/141.74 tff(39635,plain,
% 219.19/141.74 (v123(constB26, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36988, 39634])).
% 219.19/141.74 tff(39636,plain,
% 219.19/141.74 (v84(constB26, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36990, 39635, 39528])).
% 219.19/141.74 tff(39637,plain,
% 219.19/141.74 (v84(constB27, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36995, 39636])).
% 219.19/141.74 tff(39638,plain,
% 219.19/141.74 (v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[38787, 39467])).
% 219.19/141.74 tff(39639,plain,
% 219.19/141.74 (v84(constB24, 0) <=> v84(constB23, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[30366, 39438])).
% 219.19/141.74 tff(39640,plain,
% 219.19/141.74 ((~(v84(constB24, 0) <=> v84(constB23, 0))) | (~v84(constB24, 0)) | v84(constB23, 0)),
% 219.19/141.74 inference(tautology,[status(thm)],[])).
% 219.19/141.74 tff(39641,plain,
% 219.19/141.74 ((~(v84(constB24, 0) <=> v84(constB23, 0))) | (~v84(constB24, 0))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39640, 39445])).
% 219.19/141.74 tff(39642,plain,
% 219.19/141.74 (~v84(constB24, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39641, 39639])).
% 219.19/141.74 tff(39643,plain,
% 219.19/141.74 ((~(v84(constB25, 0) <=> v84(constB24, 0))) | (~v84(constB25, 0)) | v84(constB24, 0)),
% 219.19/141.74 inference(tautology,[status(thm)],[])).
% 219.19/141.74 tff(39644,plain,
% 219.19/141.74 ((~v84(constB25, 0)) | v84(constB24, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39643, 30625])).
% 219.19/141.74 tff(39645,plain,
% 219.19/141.74 (~v84(constB25, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39644, 39642])).
% 219.19/141.74 tff(39646,plain,
% 219.19/141.74 ((~(v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))) | (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36640, 39085])).
% 219.19/141.74 tff(39647,plain,
% 219.19/141.74 (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39646, 30480])).
% 219.19/141.74 tff(39648,plain,
% 219.19/141.74 (~v84(constB25, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36722, 39647, 39440, 36730])).
% 219.19/141.74 tff(39649,plain,
% 219.19/141.74 (v124(constB25, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39628, 36730, 35266, 39440, 39547, 39546])).
% 219.19/141.74 tff(39650,assumption,(v124(constB25, 2)), introduced(assumption)).
% 219.19/141.74 tff(39651,plain,
% 219.19/141.74 ((~(v124(constB25, 2) <=> b001(2))) | (~v124(constB25, 2)) | b001(2)),
% 219.19/141.74 inference(tautology,[status(thm)],[])).
% 219.19/141.74 tff(39652,plain,
% 219.19/141.74 (~(v124(constB25, 2) <=> b001(2))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39651, 1831, 39650])).
% 219.19/141.74 tff(39653,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 2) <=> b001(2)))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39654,plain,
% 219.19/141.74 (($false | $false | (v124(constB25, 2) <=> b001(2))) <=> (v124(constB25, 2) <=> b001(2))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39655,plain,
% 219.19/141.74 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b001(2))) <=> ($false | $false | (v124(constB25, 2) <=> b001(2)))),
% 219.19/141.74 inference(monotonicity,[status(thm)],[534, 533])).
% 219.19/141.74 tff(39656,plain,
% 219.19/141.74 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b001(2))) <=> (v124(constB25, 2) <=> b001(2))),
% 219.19/141.74 inference(transitivity,[status(thm)],[39655, 39654])).
% 219.19/141.74 tff(39657,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 2) <=> b001(2)))),
% 219.19/141.74 inference(monotonicity,[status(thm)],[39656])).
% 219.19/141.74 tff(39658,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 2) <=> b001(2)))),
% 219.19/141.74 inference(transitivity,[status(thm)],[39657, 39653])).
% 219.19/141.74 tff(39659,plain,
% 219.19/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b001(2)))),
% 219.19/141.74 inference(quant_inst,[status(thm)],[])).
% 219.19/141.74 tff(39660,plain,
% 219.19/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (v124(constB25, 2) <=> b001(2))),
% 219.19/141.74 inference(modus_ponens,[status(thm)],[39659, 39658])).
% 219.19/141.74 tff(39661,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39660, 36872, 39652])).
% 219.19/141.74 tff(39662,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))) | (~v124(constB25, 2))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39663,plain,
% 219.19/141.74 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39662, 39649])).
% 219.19/141.74 tff(39664,plain,
% 219.19/141.74 (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36683, 39440, 36644, 36730])).
% 219.19/141.74 tff(39665,plain,
% 219.19/141.74 ((~(v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))) | v113(constB25)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36685, 39664])).
% 219.19/141.74 tff(39666,plain,
% 219.19/141.74 (v113(constB25)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39665, 30119])).
% 219.19/141.74 tff(39667,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39573, 2117, 39666, 39663])).
% 219.19/141.74 tff(39668,plain,(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))) | (~(v84(constB26, 0) <=> v123(constB26, 0))) | (~(v84(constB26, 2) <=> v123(constB26, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39669,plain,
% 219.19/141.74 (~(v84(constB26, 2) <=> v123(constB26, 2))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39668, 39648, 35266, 39440, 36894, 36730])).
% 219.19/141.74 tff(39670,plain,
% 219.19/141.74 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36948, 39669])).
% 219.19/141.74 tff(39671,plain,
% 219.19/141.74 (~v94(constB26)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36562, 39670])).
% 219.19/141.74 tff(39672,plain,
% 219.19/141.74 (v102(constB25)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39589, 39648, 39440, 36730])).
% 219.19/141.74 tff(39673,plain,
% 219.19/141.74 (v104(constB26)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36599, 39672])).
% 219.19/141.74 tff(39674,plain,
% 219.19/141.74 (~((~v95(constB26)) | (~v104(constB26)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36596, 39673])).
% 219.19/141.74 tff(39675,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36565, 39674, 39671])).
% 219.19/141.74 tff(39676,plain,(v84(constB25, 0) | v84(constB25, 1) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))) | v117(constB25)), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39677,plain,
% 219.19/141.74 (v117(constB25)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39676, 39645, 39440, 39531])).
% 219.19/141.74 tff(39678,plain,
% 219.19/141.74 (~v84(constB26, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36855, 39677])).
% 219.19/141.74 tff(39679,plain,
% 219.19/141.74 (~v84(constB27, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[37025, 39678])).
% 219.19/141.74 tff(39680,plain,
% 219.19/141.74 (~v84(constB27, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[35269, 39679, 39638, 39637])).
% 219.19/141.74 tff(39681,plain,
% 219.19/141.74 (~v84(constB26, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[30643, 39680])).
% 219.19/141.74 tff(39682,plain,
% 219.19/141.74 (v84(constB26, 0) | (~v123(constB26, 0))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[38783, 36894])).
% 219.19/141.74 tff(39683,plain,
% 219.19/141.74 (~v123(constB26, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39682, 39681])).
% 219.19/141.74 tff(39684,plain,
% 219.19/141.74 (~v121(constB25, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36890, 39683])).
% 219.19/141.74 tff(39685,plain,
% 219.19/141.74 (v121(constB25, 0) | (~v124(constB25, 0))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36892, 36518])).
% 219.19/141.74 tff(39686,plain,
% 219.19/141.74 (~v124(constB25, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39685, 39684])).
% 219.19/141.74 tff(39687,plain,
% 219.19/141.74 (~(v124(constB25, 0) <=> b101(0))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[38777, 2042, 39686])).
% 219.19/141.74 tff(39688,plain,
% 219.19/141.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b101(B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[36808, 39677])).
% 219.19/141.74 tff(39689,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[38775, 39688, 39687])).
% 219.19/141.74 tff(39690,plain,(v84(constB25, 1) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))) | v116(constB27) | (~v84(constB23, 2)) | (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39691,plain,
% 219.19/141.74 (v84(constB25, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39690, 39095, 38718, 39430, 39436])).
% 219.19/141.74 tff(39692,plain,
% 219.19/141.74 (v84(constB24, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39544, 39691])).
% 219.19/141.74 tff(39693,plain,
% 219.19/141.74 ((~(v84(constB24, 1) <=> v84(constB23, 1))) | v84(constB23, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39289, 39692])).
% 219.19/141.74 tff(39694,plain,
% 219.19/141.74 (v84(constB23, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39693, 39437])).
% 219.19/141.74 tff(39695,plain,
% 219.19/141.74 (v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[29981, 39694])).
% 219.19/141.74 tff(39696,plain,
% 219.19/141.74 (v109(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26908, 21475])).
% 219.19/141.74 tff(39697,plain,
% 219.19/141.74 (v109(constB19) | v118(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26362, 39696])).
% 219.19/141.74 tff(39698,plain,
% 219.19/141.74 (v108(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26369, 39697])).
% 219.19/141.74 tff(39699,plain,
% 219.19/141.74 (v108(constB19) | v119(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26371, 39698])).
% 219.19/141.74 tff(39700,plain,
% 219.19/141.74 (v107(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26378, 39699])).
% 219.19/141.74 tff(39701,plain,
% 219.19/141.74 (~((~v107(constB19)) | (~v120(constB19)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26386, 39700])).
% 219.19/141.74 tff(39702,plain,
% 219.19/141.74 (v106(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26391, 39701])).
% 219.19/141.74 tff(39703,plain,
% 219.19/141.74 (v105(constB19) | v106(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26393, 39702])).
% 219.19/141.74 tff(39704,plain,
% 219.19/141.74 (v102(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26398, 39703])).
% 219.19/141.74 tff(39705,plain,
% 219.19/141.74 (v104(constB20)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26405, 39704])).
% 219.19/141.74 tff(39706,plain,
% 219.19/141.74 (~((~v95(constB20)) | (~v104(constB20)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26436, 39705])).
% 219.19/141.74 tff(39707,plain,
% 219.19/141.74 (v94(constB20)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26443, 39706])).
% 219.19/141.74 tff(39708,plain,
% 219.19/141.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26451, 39707])).
% 219.19/141.74 tff(39709,plain,
% 219.19/141.74 (v84(constB20, 1) <=> v123(constB20, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26991, 39708])).
% 219.19/141.74 tff(39710,plain,
% 219.19/141.74 (v84(constB20, 2) <=> v123(constB20, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26995, 39708])).
% 219.19/141.74 tff(39711,plain,
% 219.19/141.74 (v84(constB20, 0) <=> v123(constB20, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27007, 39708])).
% 219.19/141.74 tff(39712,plain,
% 219.19/141.74 (v124(constB19, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27873, 27863])).
% 219.19/141.74 tff(39713,plain,
% 219.19/141.74 (v121(constB19, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27055, 39712])).
% 219.19/141.74 tff(39714,plain,
% 219.19/141.74 (v123(constB20, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27061, 39713])).
% 219.19/141.74 tff(39715,plain,
% 219.19/141.74 (v84(constB20, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27063, 39714, 27038])).
% 219.19/141.74 tff(39716,plain,
% 219.19/141.74 (v84(constB21, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27066, 39715])).
% 219.19/141.74 tff(39717,plain,
% 219.19/141.74 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27084, 39716])).
% 219.19/141.74 tff(39718,plain,
% 219.19/141.74 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27079, 39716])).
% 219.19/141.74 tff(39719,plain,
% 219.19/141.74 (v124(constB19, 2) <=> b010(2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27889, 27863])).
% 219.19/141.74 tff(39720,plain,
% 219.19/141.74 (~v124(constB19, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27892, 39719])).
% 219.19/141.74 tff(39721,plain,
% 219.19/141.74 (~v121(constB19, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27895, 39720])).
% 219.19/141.74 tff(39722,plain,
% 219.19/141.74 (~v123(constB20, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27898, 39721])).
% 219.19/141.74 tff(39723,plain,
% 219.19/141.74 (~v84(constB20, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27900, 39722, 27010])).
% 219.19/141.74 tff(39724,plain,
% 219.19/141.74 (~v84(constB21, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27903, 39723])).
% 219.19/141.74 tff(39725,plain,
% 219.19/141.74 (v111(constB21) | v116(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27908, 39724, 39718, 39717])).
% 219.19/141.74 tff(39726,plain,
% 219.19/141.74 ((~(v110(constB21) <=> (v111(constB21) | v116(constB21)))) | v110(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25601, 39725])).
% 219.19/141.74 tff(39727,plain,
% 219.19/141.74 (v110(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39726, 25492])).
% 219.19/141.74 tff(39728,plain,
% 219.19/141.74 (v110(constB21) | v117(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25636, 39727])).
% 219.19/141.74 tff(39729,plain,
% 219.19/141.74 (v109(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25633, 39728, 25605])).
% 219.19/141.74 tff(39730,plain,
% 219.19/141.74 (v109(constB21) | v118(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25631, 39729])).
% 219.19/141.74 tff(39731,plain,
% 219.19/141.74 (v108(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25628, 39730, 25607])).
% 219.19/141.74 tff(39732,plain,
% 219.19/141.74 (v108(constB21) | v119(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25626, 39731])).
% 219.19/141.74 tff(39733,plain,
% 219.19/141.74 (v107(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25623, 39732, 25609])).
% 219.19/141.74 tff(39734,plain,
% 219.19/141.74 (~((~v107(constB21)) | (~v120(constB21)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25621, 39733])).
% 219.19/141.74 tff(39735,plain,
% 219.19/141.74 (v106(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25613, 39734])).
% 219.19/141.74 tff(39736,plain,
% 219.19/141.74 (v105(constB21) | v106(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25640, 39735])).
% 219.19/141.74 tff(39737,plain,
% 219.19/141.74 (v102(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25643, 39736])).
% 219.19/141.74 tff(39738,plain,
% 219.19/141.74 (v104(constB22)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25646, 39737])).
% 219.19/141.74 tff(39739,plain,
% 219.19/141.74 (~((~v95(constB22)) | (~v104(constB22)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25680, 39738])).
% 219.19/141.74 tff(39740,plain,
% 219.19/141.74 (v94(constB22)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25683, 39739])).
% 219.19/141.74 tff(39741,plain,
% 219.19/141.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25691, 39740])).
% 219.19/141.74 tff(39742,plain,
% 219.19/141.74 (v84(constB22, 2) <=> v123(constB22, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25716, 39741])).
% 219.19/141.74 tff(39743,plain,
% 219.19/141.74 (v84(constB22, 0) <=> v123(constB22, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25704, 39741])).
% 219.19/141.74 tff(39744,plain,
% 219.19/141.74 (v124(constB19, 0) <=> b010(0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27936, 27863])).
% 219.19/141.74 tff(39745,plain,
% 219.19/141.74 (~v124(constB19, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27939, 39744])).
% 219.19/141.74 tff(39746,plain,
% 219.19/141.74 ((~(v121(constB19, 0) <=> v124(constB19, 0))) | (~v121(constB19, 0))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27133, 39745])).
% 219.19/141.74 tff(39747,plain,
% 219.19/141.74 (~v121(constB19, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39746, 27120])).
% 219.19/141.74 tff(39748,plain,
% 219.19/141.74 (~v123(constB20, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27946, 39747])).
% 219.19/141.74 tff(39749,plain,
% 219.19/141.74 (~v84(constB20, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27139, 39748, 27102])).
% 219.19/141.74 tff(39750,plain,
% 219.19/141.74 ((~(v84(constB21, 0) <=> v84(constB20, 0))) | (~v84(constB21, 0))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27141, 39749])).
% 219.19/141.74 tff(39751,plain,
% 219.19/141.74 (~v84(constB21, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39750, 27101])).
% 219.19/141.74 tff(39752,plain,
% 219.19/141.74 ((~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))) | v84(constB21, 0) | v84(constB21, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25596, 39716])).
% 219.19/141.74 tff(39753,plain,
% 219.19/141.74 (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39752, 39751, 39724])).
% 219.19/141.74 tff(39754,plain,
% 219.19/141.74 (v115(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25594, 39753, 25585])).
% 219.19/141.74 tff(39755,plain,
% 219.19/141.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b011(B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27960, 39754])).
% 219.19/141.74 tff(39756,plain,
% 219.19/141.74 (v124(constB21, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27997, 39755])).
% 219.19/141.74 tff(39757,plain,
% 219.19/141.74 (v121(constB21, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25767, 39756])).
% 219.19/141.74 tff(39758,plain,
% 219.19/141.74 (v123(constB22, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25788, 39757])).
% 219.19/141.74 tff(39759,plain,
% 219.19/141.74 (v84(constB22, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25790, 39758, 39743])).
% 219.19/141.74 tff(39760,plain,
% 219.19/141.74 (v84(constB23, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25804, 39759])).
% 219.19/141.74 tff(39761,plain,
% 219.19/141.74 (v84(constB22, 1) <=> v123(constB22, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25730, 39741])).
% 219.19/141.74 tff(39762,plain,
% 219.19/141.74 (v124(constB21, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27975, 39755])).
% 219.19/141.74 tff(39763,plain,
% 219.19/141.74 (v121(constB21, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26128, 39762])).
% 219.19/141.74 tff(39764,plain,
% 219.19/141.74 (v123(constB22, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27978, 39763])).
% 219.19/141.74 tff(39765,plain,
% 219.19/141.74 (v84(constB22, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26111, 39764, 39761])).
% 219.19/141.74 tff(39766,plain,
% 219.19/141.74 (v84(constB23, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27982, 39765])).
% 219.19/141.74 tff(39767,plain,
% 219.19/141.74 (v84(constB23, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[28003, 39766, 27984, 39760])).
% 219.19/141.74 tff(39768,plain,
% 219.19/141.74 (v84(constB22, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25851, 39767])).
% 219.19/141.74 tff(39769,plain,
% 219.19/141.74 (v123(constB22, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25848, 39768, 39742])).
% 219.19/141.74 tff(39770,plain,
% 219.19/141.74 (v121(constB21, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25846, 39769])).
% 219.19/141.74 tff(39771,plain,
% 219.19/141.74 (v124(constB21, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25832, 39770])).
% 219.19/141.74 tff(39772,plain,
% 219.19/141.74 (~(v124(constB21, 2) <=> b011(2))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[28009, 2569, 39771])).
% 219.19/141.74 tff(39773,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[28018, 39755, 39772])).
% 219.19/141.74 tff(39774,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))) | (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))) | (~(v84(constB20, 0) <=> v123(constB20, 0))) | (~(v84(constB20, 2) <=> v123(constB20, 2))) | (~(v84(constB20, 1) <=> v123(constB20, 1)))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39775,plain,
% 219.19/141.74 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b010(B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39774, 39711, 27984, 39710, 39709])).
% 219.19/141.74 tff(39776,plain,
% 219.19/141.74 (~v114(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27858, 39775])).
% 219.19/141.74 tff(39777,plain,
% 219.19/141.74 (v114(constB19) | (v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26890, 25420])).
% 219.19/141.74 tff(39778,plain,
% 219.19/141.74 (v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39777, 39776])).
% 219.19/141.74 tff(39779,plain,
% 219.19/141.74 (~v84(constB20, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27066, 26054])).
% 219.19/141.74 tff(39780,plain,
% 219.19/141.74 (~v123(constB20, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27063, 39779, 39709])).
% 219.19/141.74 tff(39781,plain,
% 219.19/141.74 (~v121(constB19, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27061, 39780])).
% 219.19/141.74 tff(39782,plain,
% 219.19/141.74 (~v124(constB19, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27055, 39781])).
% 219.19/141.74 tff(39783,plain,
% 219.19/141.74 ((~(v124(constB19, 1) <=> b011(1))) | v124(constB19, 1) | (~b011(1))),
% 219.19/141.74 inference(tautology,[status(thm)],[])).
% 219.19/141.74 tff(39784,plain,
% 219.19/141.74 (~(v124(constB19, 1) <=> b011(1))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39783, 2593, 27860])).
% 219.19/141.74 tff(39785,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))), introduced(assumption)).
% 219.19/141.74 tff(39786,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 1) <=> b011(1)))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39787,plain,
% 219.19/141.74 (($false | $false | (v124(constB19, 1) <=> b011(1))) <=> (v124(constB19, 1) <=> b011(1))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39788,plain,
% 219.19/141.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b011(1))) <=> ($false | $false | (v124(constB19, 1) <=> b011(1)))),
% 219.19/141.74 inference(monotonicity,[status(thm)],[402, 401])).
% 219.19/141.74 tff(39789,plain,
% 219.19/141.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b011(1))) <=> (v124(constB19, 1) <=> b011(1))),
% 219.19/141.74 inference(transitivity,[status(thm)],[39788, 39787])).
% 219.19/141.74 tff(39790,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 1) <=> b011(1)))),
% 219.19/141.74 inference(monotonicity,[status(thm)],[39789])).
% 219.19/141.74 tff(39791,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 1) <=> b011(1)))),
% 219.19/141.74 inference(transitivity,[status(thm)],[39790, 39786])).
% 219.19/141.74 tff(39792,plain,
% 219.19/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b011(1)))),
% 219.19/141.74 inference(quant_inst,[status(thm)],[])).
% 219.19/141.74 tff(39793,plain,
% 219.19/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 1) <=> b011(1))),
% 219.19/141.74 inference(modus_ponens,[status(thm)],[39792, 39791])).
% 219.19/141.74 tff(39794,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39793, 39785, 39784])).
% 219.19/141.74 tff(39795,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | v124(constB19, 1)), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39796,plain,
% 219.19/141.74 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39795, 39782])).
% 219.19/141.74 tff(39797,assumption,(v115(constB19)), introduced(assumption)).
% 219.19/141.74 tff(39798,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))), introduced(assumption)).
% 219.19/141.74 tff(39799,plain,
% 219.19/141.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B))))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39800,plain,
% 219.19/141.74 (((~v115(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B))))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39801,plain,
% 219.19/141.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))))),
% 219.19/141.74 inference(monotonicity,[status(thm)],[39800])).
% 219.19/141.74 tff(39802,plain,
% 219.19/141.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B))))),
% 219.19/141.74 inference(transitivity,[status(thm)],[39801, 39799])).
% 219.19/141.74 tff(39803,plain,
% 219.19/141.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB19)) | ![B: $int] : ((v124(constB19, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.19/141.74 inference(quant_inst,[status(thm)],[])).
% 219.19/141.74 tff(39804,plain,
% 219.19/141.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))),
% 219.19/141.74 inference(modus_ponens,[status(thm)],[39803, 39802])).
% 219.19/141.74 tff(39805,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39804, 2144, 39798, 39797])).
% 219.19/141.74 tff(39806,plain,((~v115(constB19)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39807,plain,
% 219.19/141.74 (~v115(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39806, 39796])).
% 219.19/141.74 tff(39808,plain,
% 219.19/141.74 (v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26222, 39807])).
% 219.19/141.74 tff(39809,assumption,(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))), introduced(assumption)).
% 219.19/141.74 tff(39810,plain,
% 219.19/141.74 (v84(constB18, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26680, 21527, 26495])).
% 219.19/141.74 tff(39811,plain,
% 219.19/141.74 (v84(constB19, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26810, 39810])).
% 219.19/141.74 tff(39812,plain,
% 219.19/141.74 (v84(constB19, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26888, 39811, 29768, 21475])).
% 219.19/141.74 tff(39813,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26901, 39812, 39811, 21475, 39809])).
% 219.19/141.74 tff(39814,plain,(v84(constB19, 2) | (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))) | (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))) | (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39815,plain,
% 219.19/141.74 (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39814, 39808, 21475, 29768])).
% 219.19/141.74 tff(39816,assumption,(~(v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))))), introduced(assumption)).
% 219.19/141.74 tff(39817,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26755, 521, 39816])).
% 219.19/141.74 tff(39818,plain,(v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39819,plain,
% 219.19/141.74 (v116(constB19) | (v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26904, 39818])).
% 219.19/141.74 tff(39820,plain,
% 219.19/141.74 (v116(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39819, 39815])).
% 219.19/141.74 tff(39821,plain,
% 219.19/141.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27266, 39820])).
% 219.19/141.74 tff(39822,plain,
% 219.19/141.74 (v124(constB19, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27255, 39821])).
% 219.19/141.74 tff(39823,plain,
% 219.19/141.74 (v121(constB19, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27240, 39822])).
% 219.19/141.74 tff(39824,plain,
% 219.19/141.74 (v123(constB20, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27235, 39823])).
% 219.19/141.74 tff(39825,plain,
% 219.19/141.74 (v84(constB20, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26463, 39824, 39710])).
% 219.19/141.74 tff(39826,plain,
% 219.19/141.74 (v84(constB21, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26297, 39825])).
% 219.19/141.74 tff(39827,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 0) <=> b100(0)))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39828,plain,
% 219.19/141.74 (($false | $false | (v124(constB19, 0) <=> b100(0))) <=> (v124(constB19, 0) <=> b100(0))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39829,plain,
% 219.19/141.74 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b100(0))) <=> ($false | $false | (v124(constB19, 0) <=> b100(0)))),
% 219.19/141.74 inference(monotonicity,[status(thm)],[250, 249])).
% 219.19/141.74 tff(39830,plain,
% 219.19/141.74 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b100(0))) <=> (v124(constB19, 0) <=> b100(0))),
% 219.19/141.74 inference(transitivity,[status(thm)],[39829, 39828])).
% 219.19/141.74 tff(39831,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 0) <=> b100(0)))),
% 219.19/141.74 inference(monotonicity,[status(thm)],[39830])).
% 219.19/141.74 tff(39832,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 0) <=> b100(0)))),
% 219.19/141.74 inference(transitivity,[status(thm)],[39831, 39827])).
% 219.19/141.74 tff(39833,plain,
% 219.19/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b100(0)))),
% 219.19/141.74 inference(quant_inst,[status(thm)],[])).
% 219.19/141.74 tff(39834,plain,
% 219.19/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 0) <=> b100(0))),
% 219.19/141.74 inference(modus_ponens,[status(thm)],[39833, 39832])).
% 219.19/141.74 tff(39835,plain,
% 219.19/141.74 (v124(constB19, 0) <=> b100(0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39834, 39821])).
% 219.19/141.74 tff(39836,plain,
% 219.19/141.74 ((~(v124(constB19, 0) <=> b100(0))) | (~v124(constB19, 0)) | b100(0)),
% 219.19/141.74 inference(tautology,[status(thm)],[])).
% 219.19/141.74 tff(39837,plain,
% 219.19/141.74 ((~(v124(constB19, 0) <=> b100(0))) | (~v124(constB19, 0))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39836, 3674])).
% 219.19/141.74 tff(39838,plain,
% 219.19/141.74 (~v124(constB19, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39837, 39835])).
% 219.19/141.74 tff(39839,assumption,(~(v121(constB19, 0) <=> v124(constB19, 0))), introduced(assumption)).
% 219.19/141.74 tff(39840,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27119, 26312, 39839])).
% 219.19/141.74 tff(39841,plain,(v121(constB19, 0) <=> v124(constB19, 0)), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39842,plain,
% 219.19/141.74 ((~v121(constB19, 0)) | v124(constB19, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27133, 39841])).
% 219.19/141.74 tff(39843,plain,
% 219.19/141.74 (~v121(constB19, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39842, 39838])).
% 219.19/141.74 tff(39844,plain,
% 219.19/141.74 (~v123(constB20, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27946, 39843])).
% 219.19/141.74 tff(39845,plain,
% 219.19/141.74 (~v84(constB20, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27139, 39844, 39711])).
% 219.19/141.74 tff(39846,plain,
% 219.19/141.74 ((~v84(constB21, 0)) | v84(constB20, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27141, 26828])).
% 219.19/141.74 tff(39847,plain,
% 219.19/141.74 (~v84(constB21, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39846, 39845])).
% 219.19/141.74 tff(39848,plain,
% 219.19/141.74 (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26060, 39847, 26054, 39826])).
% 219.19/141.74 tff(39849,plain,
% 219.19/141.74 (v117(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25963, 39848])).
% 219.19/141.74 tff(39850,plain,
% 219.19/141.74 (v84(constB22, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39238, 39849])).
% 219.19/141.74 tff(39851,plain,
% 219.19/141.74 (v84(constB23, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25804, 39850])).
% 219.19/141.74 tff(39852,plain,
% 219.19/141.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25951, 39849])).
% 219.19/141.74 tff(39853,plain,
% 219.19/141.74 (v124(constB21, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25940, 39852])).
% 219.19/141.74 tff(39854,plain,
% 219.19/141.74 (v121(constB21, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25925, 39853])).
% 219.19/141.74 tff(39855,plain,
% 219.19/141.74 (v123(constB22, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25922, 39854])).
% 219.19/141.74 tff(39856,assumption,(~(v109(constB21) | v118(constB21))), introduced(assumption)).
% 219.19/141.74 tff(39857,plain,
% 219.19/141.74 (~v109(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25631, 39856])).
% 219.19/141.74 tff(39858,plain,
% 219.19/141.74 (~(v110(constB21) | v117(constB21))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25633, 39857, 25605])).
% 219.19/141.74 tff(39859,plain,
% 219.19/141.74 (~v117(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39226, 39858])).
% 219.19/141.74 tff(39860,plain,
% 219.19/141.74 ((v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)) | (~v84(constB21, 2))),
% 219.19/141.74 inference(tautology,[status(thm)],[])).
% 219.19/141.74 tff(39861,plain,
% 219.19/141.74 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39860, 26058])).
% 219.19/141.74 tff(39862,plain,
% 219.19/141.74 ((v109(constB21) | v118(constB21)) | (~v118(constB21))),
% 219.19/141.74 inference(tautology,[status(thm)],[])).
% 219.19/141.74 tff(39863,plain,
% 219.19/141.74 (~v118(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39862, 39856])).
% 219.19/141.74 tff(39864,plain,
% 219.19/141.74 (v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26000, 39863])).
% 219.19/141.74 tff(39865,plain,
% 219.19/141.74 (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26069, 39864, 26054, 26058, 39861])).
% 219.19/141.74 tff(39866,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25963, 39865, 39859])).
% 219.19/141.74 tff(39867,plain,((v109(constB21) | v118(constB21)) | v84(constB21, 1) | (~v84(constB21, 2))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39868,plain,
% 219.19/141.74 (v109(constB21) | v118(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39867, 39826, 26054])).
% 219.19/141.74 tff(39869,plain,
% 219.19/141.74 ((~(v108(constB21) <=> (v109(constB21) | v118(constB21)))) | v108(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25628, 39868])).
% 219.19/141.74 tff(39870,plain,
% 219.19/141.74 (v108(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39869, 25607])).
% 219.19/141.74 tff(39871,plain,
% 219.19/141.74 (v108(constB21) | v119(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25626, 39870])).
% 219.19/141.74 tff(39872,plain,
% 219.19/141.74 (v107(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25623, 39871, 25609])).
% 219.19/141.74 tff(39873,plain,
% 219.19/141.74 (~((~v107(constB21)) | (~v120(constB21)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25621, 39872])).
% 219.19/141.74 tff(39874,plain,
% 219.19/141.74 (v106(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25613, 39873])).
% 219.19/141.74 tff(39875,plain,
% 219.19/141.74 (v105(constB21) | v106(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25640, 39874])).
% 219.19/141.74 tff(39876,plain,
% 219.19/141.74 (v102(constB21)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25643, 39875])).
% 219.19/141.74 tff(39877,plain,
% 219.19/141.74 (v104(constB22)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25646, 39876])).
% 219.19/141.74 tff(39878,plain,
% 219.19/141.74 (~((~v95(constB22)) | (~v104(constB22)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25680, 39877])).
% 219.19/141.74 tff(39879,plain,
% 219.19/141.74 (v94(constB22)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25683, 39878])).
% 219.19/141.74 tff(39880,plain,
% 219.19/141.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25691, 39879])).
% 219.19/141.74 tff(39881,plain,
% 219.19/141.74 (v84(constB22, 2) <=> v123(constB22, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25716, 39880])).
% 219.19/141.74 tff(39882,plain,
% 219.19/141.74 (v84(constB22, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25919, 39881, 39855])).
% 219.19/141.74 tff(39883,plain,
% 219.19/141.74 (v84(constB23, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25489, 39882])).
% 219.19/141.74 tff(39884,assumption,(v124(constB21, 1)), introduced(assumption)).
% 219.19/141.74 tff(39885,plain,
% 219.19/141.74 ((~(v124(constB21, 1) <=> b101(1))) | (~v124(constB21, 1)) | b101(1)),
% 219.19/141.74 inference(tautology,[status(thm)],[])).
% 219.19/141.74 tff(39886,plain,
% 219.19/141.74 (~(v124(constB21, 1) <=> b101(1))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39885, 2330, 39884])).
% 219.19/141.74 tff(39887,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 1) <=> b101(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 1) <=> b101(1)))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39888,plain,
% 219.19/141.74 (($false | $false | (v124(constB21, 1) <=> b101(1))) <=> (v124(constB21, 1) <=> b101(1))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39889,plain,
% 219.19/141.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b101(1))) <=> ($false | $false | (v124(constB21, 1) <=> b101(1)))),
% 219.19/141.74 inference(monotonicity,[status(thm)],[402, 401])).
% 219.19/141.74 tff(39890,plain,
% 219.19/141.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b101(1))) <=> (v124(constB21, 1) <=> b101(1))),
% 219.19/141.74 inference(transitivity,[status(thm)],[39889, 39888])).
% 219.19/141.74 tff(39891,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 1) <=> b101(1)))),
% 219.19/141.74 inference(monotonicity,[status(thm)],[39890])).
% 219.19/141.74 tff(39892,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b101(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 1) <=> b101(1)))),
% 219.19/141.74 inference(transitivity,[status(thm)],[39891, 39887])).
% 219.19/141.74 tff(39893,plain,
% 219.19/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b101(1)))),
% 219.19/141.74 inference(quant_inst,[status(thm)],[])).
% 219.19/141.74 tff(39894,plain,
% 219.19/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (v124(constB21, 1) <=> b101(1))),
% 219.19/141.74 inference(modus_ponens,[status(thm)],[39893, 39892])).
% 219.19/141.74 tff(39895,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39894, 25930, 39886])).
% 219.19/141.74 tff(39896,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))) | (~v124(constB21, 1))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39897,plain,
% 219.19/141.74 (~v124(constB21, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39896, 39852])).
% 219.19/141.74 tff(39898,plain,
% 219.19/141.74 (~v121(constB21, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25878, 39897])).
% 219.19/141.74 tff(39899,plain,
% 219.19/141.74 (~v123(constB22, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25892, 39898])).
% 219.19/141.74 tff(39900,plain,
% 219.19/141.74 (v84(constB22, 1) <=> v123(constB22, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25730, 39880])).
% 219.19/141.74 tff(39901,plain,
% 219.19/141.74 (~v84(constB22, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25894, 39900, 39899])).
% 219.19/141.74 tff(39902,plain,
% 219.19/141.74 (~v84(constB23, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[25473, 39901])).
% 219.19/141.74 tff(39903,plain,
% 219.19/141.74 ($false),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39378, 39902, 39883, 39851, 39444])).
% 219.19/141.74 tff(39904,plain,(v84(constB21, 1) | (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))) | v84(constB19, 2) | (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.19/141.74 tff(39905,plain,
% 219.19/141.74 (v84(constB21, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39904, 21475, 39444, 39778])).
% 219.19/141.74 tff(39906,plain,
% 219.19/141.74 (v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27068, 39905])).
% 219.19/141.74 tff(39907,plain,
% 219.19/141.74 (v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27074, 39905])).
% 219.19/141.74 tff(39908,plain,
% 219.19/141.74 (~v84(constB18, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[27294, 24895])).
% 219.19/141.74 tff(39909,plain,
% 219.19/141.74 (~v84(constB19, 2)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26657, 39908])).
% 219.19/141.74 tff(39910,plain,
% 219.19/141.74 (v109(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26908, 39909])).
% 219.19/141.74 tff(39911,plain,
% 219.19/141.74 (v109(constB19) | v118(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26362, 39910])).
% 219.19/141.74 tff(39912,plain,
% 219.19/141.74 (v108(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26369, 39911])).
% 219.19/141.74 tff(39913,plain,
% 219.19/141.74 (v108(constB19) | v119(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26371, 39912])).
% 219.19/141.74 tff(39914,plain,
% 219.19/141.74 (v107(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26378, 39913])).
% 219.19/141.74 tff(39915,plain,
% 219.19/141.74 (~((~v107(constB19)) | (~v120(constB19)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26386, 39914])).
% 219.19/141.74 tff(39916,plain,
% 219.19/141.74 (v106(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26391, 39915])).
% 219.19/141.74 tff(39917,plain,
% 219.19/141.74 (v105(constB19) | v106(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26393, 39916])).
% 219.19/141.74 tff(39918,plain,
% 219.19/141.74 (v102(constB19)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26398, 39917])).
% 219.19/141.74 tff(39919,plain,
% 219.19/141.74 (v104(constB20)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26405, 39918])).
% 219.19/141.74 tff(39920,plain,
% 219.19/141.74 (~((~v95(constB20)) | (~v104(constB20)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26436, 39919])).
% 219.19/141.74 tff(39921,plain,
% 219.19/141.74 (v94(constB20)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26443, 39920])).
% 219.19/141.74 tff(39922,plain,
% 219.19/141.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26451, 39921])).
% 219.19/141.74 tff(39923,plain,
% 219.19/141.74 (v84(constB20, 1) <=> v123(constB20, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26991, 39922])).
% 219.19/141.74 tff(39924,plain,
% 219.19/141.74 (v84(constB18, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[24963, 24895])).
% 219.19/141.74 tff(39925,plain,
% 219.19/141.74 (v84(constB19, 0)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[26810, 39924])).
% 219.19/141.74 tff(39926,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 1) <=> b011(1)))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39927,plain,
% 219.19/141.74 (($false | $false | (v124(constB17, 1) <=> b011(1))) <=> (v124(constB17, 1) <=> b011(1))),
% 219.19/141.74 inference(rewrite,[status(thm)],[])).
% 219.19/141.74 tff(39928,plain,
% 219.19/141.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b011(1))) <=> ($false | $false | (v124(constB17, 1) <=> b011(1)))),
% 219.19/141.74 inference(monotonicity,[status(thm)],[402, 401])).
% 219.19/141.74 tff(39929,plain,
% 219.19/141.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b011(1))) <=> (v124(constB17, 1) <=> b011(1))),
% 219.19/141.74 inference(transitivity,[status(thm)],[39928, 39927])).
% 219.19/141.74 tff(39930,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 1) <=> b011(1)))),
% 219.19/141.74 inference(monotonicity,[status(thm)],[39929])).
% 219.19/141.74 tff(39931,plain,
% 219.19/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 1) <=> b011(1)))),
% 219.19/141.74 inference(transitivity,[status(thm)],[39930, 39926])).
% 219.19/141.74 tff(39932,plain,
% 219.19/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB17, 1) <=> b011(1)))),
% 219.19/141.74 inference(quant_inst,[status(thm)],[])).
% 219.19/141.74 tff(39933,plain,
% 219.19/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b011(B)))) | (v124(constB17, 1) <=> b011(1))),
% 219.19/141.74 inference(modus_ponens,[status(thm)],[39932, 39931])).
% 219.19/141.74 tff(39934,plain,
% 219.19/141.74 (v124(constB17, 1) <=> b011(1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39933, 24905])).
% 219.19/141.74 tff(39935,plain,
% 219.19/141.74 ((~(v124(constB17, 1) <=> b011(1))) | v124(constB17, 1) | (~b011(1))),
% 219.19/141.74 inference(tautology,[status(thm)],[])).
% 219.19/141.74 tff(39936,plain,
% 219.19/141.74 ((~(v124(constB17, 1) <=> b011(1))) | v124(constB17, 1)),
% 219.19/141.74 inference(unit_resolution,[status(thm)],[39935, 2593])).
% 219.19/141.74 tff(39937,plain,
% 219.19/141.74 (v124(constB17, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39936, 39934])).
% 219.20/141.74 tff(39938,plain,
% 219.20/141.74 ((~(v121(constB17, 1) <=> v124(constB17, 1))) | v121(constB17, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26591, 39937])).
% 219.20/141.74 tff(39939,plain,
% 219.20/141.74 (v121(constB17, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39938, 25069])).
% 219.20/141.74 tff(39940,plain,
% 219.20/141.74 (v111(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[24926, 24925, 21648])).
% 219.20/141.74 tff(39941,plain,
% 219.20/141.74 (v111(constB17) | v116(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[24929, 39940])).
% 219.20/141.74 tff(39942,plain,
% 219.20/141.74 (v110(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[24931, 39941, 21646])).
% 219.20/141.74 tff(39943,plain,
% 219.20/141.74 (v110(constB17) | v117(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[24933, 39942])).
% 219.20/141.74 tff(39944,plain,
% 219.20/141.74 (v109(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[23954, 39943, 21644])).
% 219.20/141.74 tff(39945,plain,
% 219.20/141.74 (v109(constB17) | v118(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[23956, 39944])).
% 219.20/141.74 tff(39946,plain,
% 219.20/141.74 (v108(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[23958, 39945, 21642])).
% 219.20/141.74 tff(39947,plain,
% 219.20/141.74 (v108(constB17) | v119(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[23960, 39946])).
% 219.20/141.74 tff(39948,plain,
% 219.20/141.74 (v107(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[23962, 39947, 21640])).
% 219.20/141.74 tff(39949,plain,
% 219.20/141.74 (~((~v107(constB17)) | (~v120(constB17)))),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[23970, 39948])).
% 219.20/141.74 tff(39950,plain,
% 219.20/141.74 (v106(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[23973, 39949])).
% 219.20/141.74 tff(39951,plain,
% 219.20/141.74 (v105(constB17) | v106(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[23975, 39950])).
% 219.20/141.74 tff(39952,plain,
% 219.20/141.74 (v102(constB17)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[23978, 39951])).
% 219.20/141.74 tff(39953,plain,
% 219.20/141.74 (v104(constB18)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[23981, 39952])).
% 219.20/141.74 tff(39954,plain,
% 219.20/141.74 (~((~v95(constB18)) | (~v104(constB18)))),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[24012, 39953])).
% 219.20/141.74 tff(39955,plain,
% 219.20/141.74 (v94(constB18)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[24015, 39954])).
% 219.20/141.74 tff(39956,plain,
% 219.20/141.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[24023, 39955])).
% 219.20/141.74 tff(39957,plain,
% 219.20/141.74 (v84(constB18, 1) <=> v123(constB18, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[25115, 39956])).
% 219.20/141.74 tff(39958,plain,
% 219.20/141.74 (~v123(constB18, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26586, 39957])).
% 219.20/141.74 tff(39959,plain,
% 219.20/141.74 ((~(v123(constB18, 1) <=> v121(constB17, 1))) | (~v121(constB17, 1))),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26588, 39958])).
% 219.20/141.74 tff(39960,plain,
% 219.20/141.74 ($false),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39959, 39939, 25078])).
% 219.20/141.74 tff(39961,plain,((~v115(constB17)) | v84(constB18, 1)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.74 tff(39962,plain,
% 219.20/141.74 (v84(constB18, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39961, 24895])).
% 219.20/141.74 tff(39963,plain,
% 219.20/141.74 (v84(constB19, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26676, 39962])).
% 219.20/141.74 tff(39964,plain,
% 219.20/141.74 (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26901, 39963, 39925, 39909])).
% 219.20/141.74 tff(39965,plain,
% 219.20/141.74 ((~(v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))))) | v116(constB19)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26904, 39964])).
% 219.20/141.74 tff(39966,plain,
% 219.20/141.74 (v116(constB19)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39965, 26756])).
% 219.20/141.74 tff(39967,plain,
% 219.20/141.74 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[27264, 2230, 39966])).
% 219.20/141.74 tff(39968,plain,
% 219.20/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 1) <=> b100(1)))),
% 219.20/141.74 inference(rewrite,[status(thm)],[])).
% 219.20/141.74 tff(39969,plain,
% 219.20/141.74 (($false | $false | (v124(constB19, 1) <=> b100(1))) <=> (v124(constB19, 1) <=> b100(1))),
% 219.20/141.74 inference(rewrite,[status(thm)],[])).
% 219.20/141.74 tff(39970,plain,
% 219.20/141.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b100(1))) <=> ($false | $false | (v124(constB19, 1) <=> b100(1)))),
% 219.20/141.74 inference(monotonicity,[status(thm)],[402, 401])).
% 219.20/141.74 tff(39971,plain,
% 219.20/141.74 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b100(1))) <=> (v124(constB19, 1) <=> b100(1))),
% 219.20/141.74 inference(transitivity,[status(thm)],[39970, 39969])).
% 219.20/141.74 tff(39972,plain,
% 219.20/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 1) <=> b100(1)))),
% 219.20/141.74 inference(monotonicity,[status(thm)],[39971])).
% 219.20/141.74 tff(39973,plain,
% 219.20/141.74 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 1) <=> b100(1)))),
% 219.20/141.74 inference(transitivity,[status(thm)],[39972, 39968])).
% 219.20/141.74 tff(39974,plain,
% 219.20/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB19, 1) <=> b100(1)))),
% 219.20/141.74 inference(quant_inst,[status(thm)],[])).
% 219.20/141.74 tff(39975,plain,
% 219.20/141.74 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b100(B)))) | (v124(constB19, 1) <=> b100(1))),
% 219.20/141.74 inference(modus_ponens,[status(thm)],[39974, 39973])).
% 219.20/141.74 tff(39976,plain,
% 219.20/141.74 (v124(constB19, 1) <=> b100(1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39975, 39967])).
% 219.20/141.74 tff(39977,plain,
% 219.20/141.74 ((~(v124(constB19, 1) <=> b100(1))) | (~v124(constB19, 1)) | b100(1)),
% 219.20/141.74 inference(tautology,[status(thm)],[])).
% 219.20/141.74 tff(39978,plain,
% 219.20/141.74 ((~(v124(constB19, 1) <=> b100(1))) | (~v124(constB19, 1))),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39977, 2274])).
% 219.20/141.74 tff(39979,plain,
% 219.20/141.74 (~v124(constB19, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39978, 39976])).
% 219.20/141.74 tff(39980,plain,
% 219.20/141.74 ((~v121(constB19, 1)) | v124(constB19, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26801, 27053])).
% 219.20/141.74 tff(39981,plain,
% 219.20/141.74 (~v121(constB19, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39980, 39979])).
% 219.20/141.74 tff(39982,plain,
% 219.20/141.74 ((~v123(constB20, 1)) | v121(constB19, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26736, 27059])).
% 219.20/141.74 tff(39983,plain,
% 219.20/141.74 (~v123(constB20, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39982, 39981])).
% 219.20/141.74 tff(39984,plain,
% 219.20/141.74 (~v84(constB20, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26733, 39983, 39923])).
% 219.20/141.74 tff(39985,plain,
% 219.20/141.74 (~v84(constB21, 1)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26218, 39984])).
% 219.20/141.74 tff(39986,plain,
% 219.20/141.74 (v84(constB20, 2) <=> v123(constB20, 2)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26995, 39922])).
% 219.20/141.74 tff(39987,plain,
% 219.20/141.74 (v124(constB19, 2) <=> b100(2)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[27253, 39967])).
% 219.20/141.74 tff(39988,plain,
% 219.20/141.74 ((~(v124(constB19, 2) <=> b100(2))) | v124(constB19, 2)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[27243, 2250])).
% 219.20/141.74 tff(39989,plain,
% 219.20/141.74 (v124(constB19, 2)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39988, 39987])).
% 219.20/141.74 tff(39990,plain,
% 219.20/141.74 ((~(v121(constB19, 2) <=> v124(constB19, 2))) | v121(constB19, 2)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26490, 39989])).
% 219.20/141.74 tff(39991,plain,
% 219.20/141.74 (v121(constB19, 2)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39990, 26321])).
% 219.20/141.74 tff(39992,plain,
% 219.20/141.74 (v123(constB20, 2)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[27235, 39991])).
% 219.20/141.74 tff(39993,plain,
% 219.20/141.74 (v84(constB20, 2)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26463, 39992, 39986])).
% 219.20/141.74 tff(39994,plain,
% 219.20/141.74 (v84(constB21, 2)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[26297, 39993])).
% 219.20/141.74 tff(39995,plain,
% 219.20/141.74 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 219.20/141.74 inference(unit_resolution,[status(thm)],[39860, 39994])).
% 219.20/141.74 tff(39996,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[26069, 39995, 39994, 26056, 26057, 39985])).
% 219.20/141.75 tff(39997,plain,((~v115(constB17)) | (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))) | (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(39998,plain,
% 219.20/141.75 (~v115(constB17)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[39997, 39907, 39906])).
% 219.20/141.75 tff(39999,plain,
% 219.20/141.75 (v84(constB16, 1) <=> v123(constB16, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24808, 24230])).
% 219.20/141.75 tff(40000,plain,
% 219.20/141.75 (~v114(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27332, 39998, 24230])).
% 219.20/141.75 tff(40001,plain,
% 219.20/141.75 (v84(constB15, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25051, 21527, 23512])).
% 219.20/141.75 tff(40002,plain,
% 219.20/141.75 (v84(constB14, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25245, 40001])).
% 219.20/141.75 tff(40003,plain,
% 219.20/141.75 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB11, B) <=> b001(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23412, 40002, 20431])).
% 219.20/141.75 tff(40004,plain,
% 219.20/141.75 (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[39814, 21475, 26495, 29768])).
% 219.20/141.75 tff(40005,plain,
% 219.20/141.75 ((v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))) | v84(constB19, 1)),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40006,plain,
% 219.20/141.75 (v84(constB19, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40005, 40004])).
% 219.20/141.75 tff(40007,plain,
% 219.20/141.75 (v84(constB18, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25206, 40006])).
% 219.20/141.75 tff(40008,plain,
% 219.20/141.75 (v84(constB17, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27809, 40007, 26532])).
% 219.20/141.75 tff(40009,plain,
% 219.20/141.75 (v84(constB16, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24668, 40008])).
% 219.20/141.75 tff(40010,plain,
% 219.20/141.75 (~v118(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27615, 40009])).
% 219.20/141.75 tff(40011,plain,
% 219.20/141.75 (v94(constB18)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25039, 21527])).
% 219.20/141.75 tff(40012,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24023, 40011])).
% 219.20/141.75 tff(40013,plain,
% 219.20/141.75 (v84(constB18, 0) <=> v123(constB18, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27814, 40012])).
% 219.20/141.75 tff(40014,assumption,(v84(constB18, 0) <=> v123(constB18, 0)), introduced(assumption)).
% 219.20/141.75 tff(40015,plain,
% 219.20/141.75 ((~(v84(constB18, 0) <=> v123(constB18, 0))) | (~v84(constB18, 0)) | v123(constB18, 0)),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40016,plain,
% 219.20/141.75 (v123(constB18, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40015, 21595, 40014])).
% 219.20/141.75 tff(40017,plain,
% 219.20/141.75 ((~(v123(constB18, 0) <=> v121(constB17, 0))) | (~v123(constB18, 0)) | v121(constB17, 0)),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40018,plain,
% 219.20/141.75 ((~v123(constB18, 0)) | v121(constB17, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40017, 27819])).
% 219.20/141.75 tff(40019,plain,
% 219.20/141.75 (v121(constB17, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40018, 40016])).
% 219.20/141.75 tff(40020,plain,
% 219.20/141.75 ((~(v121(constB17, 0) <=> v124(constB17, 0))) | (~v121(constB17, 0)) | v124(constB17, 0)),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40021,plain,
% 219.20/141.75 ((~v121(constB17, 0)) | v124(constB17, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40020, 27840])).
% 219.20/141.75 tff(40022,plain,
% 219.20/141.75 (v124(constB17, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40021, 40019])).
% 219.20/141.75 tff(40023,plain,
% 219.20/141.75 ((~(v124(constB17, 0) <=> b010(0))) | (~v124(constB17, 0)) | b010(0)),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40024,plain,
% 219.20/141.75 (~(v124(constB17, 0) <=> b010(0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40023, 2437, 40022])).
% 219.20/141.75 tff(40025,assumption,(v118(constB17)), introduced(assumption)).
% 219.20/141.75 tff(40026,plain,
% 219.20/141.75 (v109(constB17) | v118(constB17)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27539, 40025])).
% 219.20/141.75 tff(40027,plain,
% 219.20/141.75 (v108(constB17)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23958, 40026, 21642])).
% 219.20/141.75 tff(40028,plain,
% 219.20/141.75 (v108(constB17) | v119(constB17)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23960, 40027])).
% 219.20/141.75 tff(40029,plain,
% 219.20/141.75 (v107(constB17)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23962, 40028, 21640])).
% 219.20/141.75 tff(40030,plain,
% 219.20/141.75 (~((~v107(constB17)) | (~v120(constB17)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23970, 40029])).
% 219.20/141.75 tff(40031,plain,
% 219.20/141.75 (v106(constB17)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23973, 40030])).
% 219.20/141.75 tff(40032,plain,
% 219.20/141.75 (v105(constB17) | v106(constB17)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23975, 40031])).
% 219.20/141.75 tff(40033,plain,
% 219.20/141.75 (v102(constB17)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23978, 40032])).
% 219.20/141.75 tff(40034,plain,
% 219.20/141.75 (v104(constB18)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23981, 40033])).
% 219.20/141.75 tff(40035,plain,
% 219.20/141.75 (~((~v95(constB18)) | (~v104(constB18)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24012, 40034])).
% 219.20/141.75 tff(40036,plain,
% 219.20/141.75 (v94(constB18)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24015, 40035])).
% 219.20/141.75 tff(40037,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24023, 40036])).
% 219.20/141.75 tff(40038,plain,
% 219.20/141.75 (v84(constB18, 0) <=> v123(constB18, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24955, 40037])).
% 219.20/141.75 tff(40039,plain,
% 219.20/141.75 ((~(v84(constB18, 0) <=> v123(constB18, 0))) | v123(constB18, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40015, 21595])).
% 219.20/141.75 tff(40040,plain,
% 219.20/141.75 (v123(constB18, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40039, 40038])).
% 219.20/141.75 tff(40041,plain,
% 219.20/141.75 ((~(v123(constB18, 0) <=> v121(constB17, 0))) | v121(constB17, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40017, 40040])).
% 219.20/141.75 tff(40042,plain,
% 219.20/141.75 (v121(constB17, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40041, 24885])).
% 219.20/141.75 tff(40043,plain,
% 219.20/141.75 ((~v118(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[26646, 1977])).
% 219.20/141.75 tff(40044,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40043, 40025])).
% 219.20/141.75 tff(40045,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | (v124(constB17, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | (v124(constB17, 0) <=> b110(0)))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40046,plain,
% 219.20/141.75 (($false | $false | (v124(constB17, 0) <=> b110(0))) <=> (v124(constB17, 0) <=> b110(0))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40047,plain,
% 219.20/141.75 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b110(0))) <=> ($false | $false | (v124(constB17, 0) <=> b110(0)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.75 tff(40048,plain,
% 219.20/141.75 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b110(0))) <=> (v124(constB17, 0) <=> b110(0))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40047, 40046])).
% 219.20/141.75 tff(40049,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | (v124(constB17, 0) <=> b110(0)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[40048])).
% 219.20/141.75 tff(40050,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | (v124(constB17, 0) <=> b110(0)))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40049, 40045])).
% 219.20/141.75 tff(40051,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b110(0)))),
% 219.20/141.75 inference(quant_inst,[status(thm)],[])).
% 219.20/141.75 tff(40052,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b110(B)))) | (v124(constB17, 0) <=> b110(0))),
% 219.20/141.75 inference(modus_ponens,[status(thm)],[40051, 40050])).
% 219.20/141.75 tff(40053,plain,
% 219.20/141.75 (v124(constB17, 0) <=> b110(0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40052, 40044])).
% 219.20/141.75 tff(40054,plain,
% 219.20/141.75 ((~(v124(constB17, 0) <=> b110(0))) | (~v124(constB17, 0)) | b110(0)),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40055,plain,
% 219.20/141.75 ((~(v124(constB17, 0) <=> b110(0))) | (~v124(constB17, 0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40054, 3186])).
% 219.20/141.75 tff(40056,plain,
% 219.20/141.75 (~v124(constB17, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40055, 40053])).
% 219.20/141.75 tff(40057,plain,
% 219.20/141.75 ((~(v121(constB17, 0) <=> v124(constB17, 0))) | (~v121(constB17, 0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40020, 40056])).
% 219.20/141.75 tff(40058,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40057, 40042, 24894])).
% 219.20/141.75 tff(40059,plain,((~v118(constB17)) | (~v84(constB18, 0))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40060,plain,
% 219.20/141.75 (~v118(constB17)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40059, 21595])).
% 219.20/141.75 tff(40061,plain,
% 219.20/141.75 (v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27541, 40060, 22400])).
% 219.20/141.75 tff(40062,plain,
% 219.20/141.75 ((~(v84(constB17, 1) | (~v84(constB17, 0)) | (~v84(constB17, 2)))) | (~v84(constB17, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27564, 24197, 26565])).
% 219.20/141.75 tff(40063,plain,
% 219.20/141.75 (~v84(constB17, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40062, 40061])).
% 219.20/141.75 tff(40064,plain,
% 219.20/141.75 (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25006, 40063, 24197, 26565])).
% 219.20/141.75 tff(40065,assumption,(~(v114(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))))), introduced(assumption)).
% 219.20/141.75 tff(40066,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[21651, 298, 40065])).
% 219.20/141.75 tff(40067,plain,(v114(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40068,plain,
% 219.20/141.75 (v114(constB17) | (v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25015, 40067])).
% 219.20/141.75 tff(40069,plain,
% 219.20/141.75 (v114(constB17)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40068, 40064])).
% 219.20/141.75 tff(40070,plain,
% 219.20/141.75 ((~v114(constB17)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[26638, 2418])).
% 219.20/141.75 tff(40071,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40070, 40069])).
% 219.20/141.75 tff(40072,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | (v124(constB17, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | (v124(constB17, 0) <=> b010(0)))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40073,plain,
% 219.20/141.75 (($false | $false | (v124(constB17, 0) <=> b010(0))) <=> (v124(constB17, 0) <=> b010(0))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40074,plain,
% 219.20/141.75 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b010(0))) <=> ($false | $false | (v124(constB17, 0) <=> b010(0)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.75 tff(40075,plain,
% 219.20/141.75 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b010(0))) <=> (v124(constB17, 0) <=> b010(0))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40074, 40073])).
% 219.20/141.75 tff(40076,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | (v124(constB17, 0) <=> b010(0)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[40075])).
% 219.20/141.75 tff(40077,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | (v124(constB17, 0) <=> b010(0)))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40076, 40072])).
% 219.20/141.75 tff(40078,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB17, 0) <=> b010(0)))),
% 219.20/141.75 inference(quant_inst,[status(thm)],[])).
% 219.20/141.75 tff(40079,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB17, B) <=> b010(B)))) | (v124(constB17, 0) <=> b010(0))),
% 219.20/141.75 inference(modus_ponens,[status(thm)],[40078, 40077])).
% 219.20/141.75 tff(40080,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40079, 40071, 40024])).
% 219.20/141.75 tff(40081,plain,((~v84(constB18, 0)) | v84(constB17, 1) | (~v84(constB17, 0)) | (~(v84(constB18, 0) <=> v123(constB18, 0)))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40082,plain,
% 219.20/141.75 (v84(constB17, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40081, 40008, 39810, 40013])).
% 219.20/141.75 tff(40083,plain,
% 219.20/141.75 (v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22239, 40082])).
% 219.20/141.75 tff(40084,plain,
% 219.20/141.75 (v84(constB17, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25164, 40083, 27789, 40007])).
% 219.20/141.75 tff(40085,plain,
% 219.20/141.75 (v84(constB16, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24787, 40084])).
% 219.20/141.75 tff(40086,plain,
% 219.20/141.75 (~v84(constB13, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22849, 20117])).
% 219.20/141.75 tff(40087,plain,
% 219.20/141.75 (~v84(constB14, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23495, 22893, 40086])).
% 219.20/141.75 tff(40088,plain,
% 219.20/141.75 (v84(constB12, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23384, 23245, 20117])).
% 219.20/141.75 tff(40089,plain,
% 219.20/141.75 (v84(constB13, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[21770, 40088])).
% 219.20/141.75 tff(40090,plain,
% 219.20/141.75 (v111(constB13) | v116(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22914, 40089, 22893])).
% 219.20/141.75 tff(40091,plain,
% 219.20/141.75 (v110(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22938, 40090, 21782])).
% 219.20/141.75 tff(40092,plain,
% 219.20/141.75 (v110(constB13) | v117(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22940, 40091])).
% 219.20/141.75 tff(40093,plain,
% 219.20/141.75 (v109(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22870, 40092, 21780])).
% 219.20/141.75 tff(40094,plain,
% 219.20/141.75 (v109(constB13) | v118(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22868, 40093])).
% 219.20/141.75 tff(40095,plain,
% 219.20/141.75 (v108(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22866, 40094, 21778])).
% 219.20/141.75 tff(40096,plain,
% 219.20/141.75 (v108(constB13) | v119(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22864, 40095])).
% 219.20/141.75 tff(40097,plain,
% 219.20/141.75 (v107(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22944, 40096, 21701])).
% 219.20/141.75 tff(40098,plain,
% 219.20/141.75 (~((~v107(constB13)) | (~v120(constB13)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22953, 40097])).
% 219.20/141.75 tff(40099,plain,
% 219.20/141.75 (v106(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22956, 40098])).
% 219.20/141.75 tff(40100,plain,
% 219.20/141.75 (v105(constB13) | v106(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22958, 40099])).
% 219.20/141.75 tff(40101,plain,
% 219.20/141.75 (v102(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22961, 40100])).
% 219.20/141.75 tff(40102,plain,
% 219.20/141.75 (v104(constB14)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22964, 40101])).
% 219.20/141.75 tff(40103,plain,
% 219.20/141.75 (~((~v95(constB14)) | (~v104(constB14)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22995, 40102])).
% 219.20/141.75 tff(40104,plain,
% 219.20/141.75 (v94(constB14)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22998, 40103])).
% 219.20/141.75 tff(40105,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23006, 40104])).
% 219.20/141.75 tff(40106,plain,
% 219.20/141.75 (v84(constB14, 2) <=> v123(constB14, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23017, 40105])).
% 219.20/141.75 tff(40107,plain,
% 219.20/141.75 (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22903, 40089, 40086, 22893])).
% 219.20/141.75 tff(40108,plain,
% 219.20/141.75 (v114(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23390, 40107])).
% 219.20/141.75 tff(40109,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b010(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23473, 40108])).
% 219.20/141.75 tff(40110,plain,
% 219.20/141.75 (v124(constB13, 2) <=> b010(2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23410, 40109])).
% 219.20/141.75 tff(40111,plain,
% 219.20/141.75 ((~(v124(constB13, 2) <=> b010(2))) | (~v124(constB13, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23213, 2485])).
% 219.20/141.75 tff(40112,plain,
% 219.20/141.75 (~v124(constB13, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40111, 40110])).
% 219.20/141.75 tff(40113,plain,
% 219.20/141.75 (~v121(constB13, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23211, 40112])).
% 219.20/141.75 tff(40114,plain,
% 219.20/141.75 (~v123(constB14, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23208, 40113])).
% 219.20/141.75 tff(40115,plain,
% 219.20/141.75 ((~(v84(constB14, 2) <=> v123(constB14, 2))) | (~v84(constB14, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23205, 40114])).
% 219.20/141.75 tff(40116,plain,
% 219.20/141.75 (~v84(constB14, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40115, 40106])).
% 219.20/141.75 tff(40117,plain,
% 219.20/141.75 (v84(constB14, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23823, 40116, 23245, 40087])).
% 219.20/141.75 tff(40118,plain,
% 219.20/141.75 ((~(v84(constB15, 1) <=> v84(constB14, 1))) | v84(constB15, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22101, 40117])).
% 219.20/141.75 tff(40119,plain,
% 219.20/141.75 (v84(constB15, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40118, 22088])).
% 219.20/141.75 tff(40120,plain,
% 219.20/141.75 ((~(v84(constB15, 0) <=> v84(constB14, 0))) | (~v84(constB15, 0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23500, 40087])).
% 219.20/141.75 tff(40121,plain,
% 219.20/141.75 (~v84(constB15, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40120, 21699])).
% 219.20/141.75 tff(40122,plain,
% 219.20/141.75 ((~(v84(constB15, 2) <=> v84(constB14, 2))) | (~v84(constB15, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25244, 40116])).
% 219.20/141.75 tff(40123,plain,
% 219.20/141.75 (~v84(constB15, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40122, 23525])).
% 219.20/141.75 tff(40124,plain,
% 219.20/141.75 ((~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))) | v84(constB15, 0) | (~v84(constB15, 1))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24105, 40123])).
% 219.20/141.75 tff(40125,plain,
% 219.20/141.75 (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40124, 40121, 40119])).
% 219.20/141.75 tff(40126,plain,
% 219.20/141.75 (v115(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24103, 40125, 22053])).
% 219.20/141.75 tff(40127,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b011(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24502, 2144, 40126])).
% 219.20/141.75 tff(40128,plain,
% 219.20/141.75 (v124(constB15, 2) <=> b011(2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24578, 40127])).
% 219.20/141.75 tff(40129,plain,
% 219.20/141.75 (~v124(constB15, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24581, 40128])).
% 219.20/141.75 tff(40130,plain,
% 219.20/141.75 ((~(v121(constB15, 2) <=> v124(constB15, 2))) | (~v121(constB15, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24583, 40129])).
% 219.20/141.75 tff(40131,plain,
% 219.20/141.75 (~v121(constB15, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40130, 24220])).
% 219.20/141.75 tff(40132,plain,
% 219.20/141.75 (v108(constB15) | v119(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24626, 40121])).
% 219.20/141.75 tff(40133,plain,
% 219.20/141.75 ((~(v107(constB15) <=> (v108(constB15) | v119(constB15)))) | v107(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24123, 40132])).
% 219.20/141.75 tff(40134,plain,
% 219.20/141.75 (v107(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40133, 21654])).
% 219.20/141.75 tff(40135,plain,
% 219.20/141.75 (~((~v107(constB15)) | (~v120(constB15)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24131, 40134])).
% 219.20/141.75 tff(40136,plain,
% 219.20/141.75 (v106(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24134, 40135])).
% 219.20/141.75 tff(40137,plain,
% 219.20/141.75 (v105(constB15) | v106(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24136, 40136])).
% 219.20/141.75 tff(40138,plain,
% 219.20/141.75 (v102(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24139, 40137])).
% 219.20/141.75 tff(40139,plain,
% 219.20/141.75 (v104(constB16)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24142, 40138])).
% 219.20/141.75 tff(40140,plain,
% 219.20/141.75 (~((~v95(constB16)) | (~v104(constB16)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24173, 40139])).
% 219.20/141.75 tff(40141,plain,
% 219.20/141.75 (v94(constB16)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24176, 40140])).
% 219.20/141.75 tff(40142,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24184, 40141])).
% 219.20/141.75 tff(40143,plain,
% 219.20/141.75 (v84(constB16, 2) <=> v123(constB16, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24238, 40142])).
% 219.20/141.75 tff(40144,plain,
% 219.20/141.75 (v123(constB16, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24690, 40143])).
% 219.20/141.75 tff(40145,plain,
% 219.20/141.75 ((~(v123(constB16, 2) <=> v121(constB15, 2))) | v121(constB15, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24586, 40144])).
% 219.20/141.75 tff(40146,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40145, 40131, 24229])).
% 219.20/141.75 tff(40147,plain,(v84(constB13, 2) | (~v84(constB16, 2)) | v84(constB12, 1)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40148,plain,
% 219.20/141.75 (v84(constB13, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40147, 23416, 24689])).
% 219.20/141.75 tff(40149,plain,
% 219.20/141.75 (~v115(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[21824, 23630])).
% 219.20/141.75 tff(40150,plain,
% 219.20/141.75 (v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27621, 24505])).
% 219.20/141.75 tff(40151,plain,
% 219.20/141.75 (~v84(constB14, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27528, 22853, 27451, 21989])).
% 219.20/141.75 tff(40152,plain,
% 219.20/141.75 (v84(constB14, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23861, 40151, 22853, 21989])).
% 219.20/141.75 tff(40153,plain,
% 219.20/141.75 ((~(v84(constB15, 0) <=> v84(constB14, 0))) | v84(constB15, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[21970, 23418])).
% 219.20/141.75 tff(40154,plain,
% 219.20/141.75 (v84(constB15, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40153, 21699])).
% 219.20/141.75 tff(40155,plain,
% 219.20/141.75 ((~(v84(constB15, 1) <=> v84(constB14, 1))) | (~v84(constB15, 1))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27536, 23530])).
% 219.20/141.75 tff(40156,plain,
% 219.20/141.75 (~v84(constB15, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40155, 22088])).
% 219.20/141.75 tff(40157,plain,
% 219.20/141.75 ((~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))) | v84(constB15, 1) | (~v84(constB15, 0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27626, 24619])).
% 219.20/141.75 tff(40158,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40157, 40156, 40154, 27623])).
% 219.20/141.75 tff(40159,plain,(v84(constB14, 1) | (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))) | (~v84(constB15, 2)) | (~v84(constB14, 0))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40160,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40159, 40152, 40151, 24619, 27623])).
% 219.20/141.75 tff(40161,plain,(v84(constB13, 0) | (~v84(constB15, 2)) | (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))) | (~v84(constB13, 2)) | v115(constB13)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40162,plain,
% 219.20/141.75 (v84(constB13, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40161, 40148, 40150, 24619, 40149])).
% 219.20/141.75 tff(40163,plain,
% 219.20/141.75 (v107(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22944, 22943, 21701])).
% 219.20/141.75 tff(40164,plain,
% 219.20/141.75 (~((~v107(constB13)) | (~v120(constB13)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22953, 40163])).
% 219.20/141.75 tff(40165,plain,
% 219.20/141.75 (v106(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22956, 40164])).
% 219.20/141.75 tff(40166,plain,
% 219.20/141.75 (v105(constB13) | v106(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22958, 40165])).
% 219.20/141.75 tff(40167,plain,
% 219.20/141.75 (v102(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22961, 40166])).
% 219.20/141.75 tff(40168,plain,
% 219.20/141.75 (v104(constB14)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22964, 40167])).
% 219.20/141.75 tff(40169,plain,
% 219.20/141.75 (~((~v95(constB14)) | (~v104(constB14)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22995, 40168])).
% 219.20/141.75 tff(40170,plain,
% 219.20/141.75 (v94(constB14)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22998, 40169])).
% 219.20/141.75 tff(40171,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23006, 40170])).
% 219.20/141.75 tff(40172,plain,
% 219.20/141.75 (v84(constB14, 0) <=> v123(constB14, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23463, 40171])).
% 219.20/141.75 tff(40173,plain,
% 219.20/141.75 (v123(constB14, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23466, 40172])).
% 219.20/141.75 tff(40174,plain,
% 219.20/141.75 ((~(v123(constB14, 0) <=> v121(constB13, 0))) | v121(constB13, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23468, 40173])).
% 219.20/141.75 tff(40175,plain,
% 219.20/141.75 (v121(constB13, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40174, 23436])).
% 219.20/141.75 tff(40176,plain,
% 219.20/141.75 ((~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))) | v84(constB13, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22878, 21989, 22895])).
% 219.20/141.75 tff(40177,plain,
% 219.20/141.75 (~((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40176, 22851])).
% 219.20/141.75 tff(40178,plain,
% 219.20/141.75 (v118(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22883, 40177, 21894])).
% 219.20/141.75 tff(40179,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23119, 40178])).
% 219.20/141.75 tff(40180,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 0) <=> b110(0)))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40181,plain,
% 219.20/141.75 (($false | $false | (v124(constB13, 0) <=> b110(0))) <=> (v124(constB13, 0) <=> b110(0))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40182,plain,
% 219.20/141.75 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b110(0))) <=> ($false | $false | (v124(constB13, 0) <=> b110(0)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.75 tff(40183,plain,
% 219.20/141.75 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b110(0))) <=> (v124(constB13, 0) <=> b110(0))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40182, 40181])).
% 219.20/141.75 tff(40184,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 0) <=> b110(0)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[40183])).
% 219.20/141.75 tff(40185,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 0) <=> b110(0)))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40184, 40180])).
% 219.20/141.75 tff(40186,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b110(0)))),
% 219.20/141.75 inference(quant_inst,[status(thm)],[])).
% 219.20/141.75 tff(40187,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b110(B)))) | (v124(constB13, 0) <=> b110(0))),
% 219.20/141.75 inference(modus_ponens,[status(thm)],[40186, 40185])).
% 219.20/141.75 tff(40188,plain,
% 219.20/141.75 (v124(constB13, 0) <=> b110(0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40187, 40179])).
% 219.20/141.75 tff(40189,plain,
% 219.20/141.75 ((~(v124(constB13, 0) <=> b110(0))) | (~v124(constB13, 0)) | b110(0)),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40190,plain,
% 219.20/141.75 ((~(v124(constB13, 0) <=> b110(0))) | (~v124(constB13, 0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40189, 3186])).
% 219.20/141.75 tff(40191,plain,
% 219.20/141.75 (~v124(constB13, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40190, 40188])).
% 219.20/141.75 tff(40192,plain,
% 219.20/141.75 ((~(v121(constB13, 0) <=> v124(constB13, 0))) | (~v121(constB13, 0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23487, 40191])).
% 219.20/141.75 tff(40193,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40192, 40175, 23427])).
% 219.20/141.75 tff(40194,plain,(v84(constB13, 1) | (~v84(constB14, 0)) | (~v84(constB13, 2)) | (~v84(constB13, 0))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40195,plain,
% 219.20/141.75 (~v84(constB14, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40194, 40162, 22851, 40148])).
% 219.20/141.75 tff(40196,plain,
% 219.20/141.75 (v84(constB14, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23872, 40195, 22851, 40148])).
% 219.20/141.75 tff(40197,plain,
% 219.20/141.75 (v84(constB15, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[38865, 40196])).
% 219.20/141.75 tff(40198,plain,
% 219.20/141.75 (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22104, 40197])).
% 219.20/141.75 tff(40199,plain,
% 219.20/141.75 ((~v117(constB15)) | (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22106, 27632])).
% 219.20/141.75 tff(40200,plain,
% 219.20/141.75 (~v117(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40199, 40198])).
% 219.20/141.75 tff(40201,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24408, 1807, 23512, 27716, 27713, 40200, 24505, 27710])).
% 219.20/141.75 tff(40202,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | (v124(constB15, 2) <=> b001(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | (v124(constB15, 2) <=> b001(2)))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40203,plain,
% 219.20/141.75 (($false | $false | (v124(constB15, 2) <=> b001(2))) <=> (v124(constB15, 2) <=> b001(2))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40204,plain,
% 219.20/141.75 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b001(2))) <=> ($false | $false | (v124(constB15, 2) <=> b001(2)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[534, 533])).
% 219.20/141.75 tff(40205,plain,
% 219.20/141.75 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b001(2))) <=> (v124(constB15, 2) <=> b001(2))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40204, 40203])).
% 219.20/141.75 tff(40206,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | (v124(constB15, 2) <=> b001(2)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[40205])).
% 219.20/141.75 tff(40207,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b001(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | (v124(constB15, 2) <=> b001(2)))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40206, 40202])).
% 219.20/141.75 tff(40208,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB15, 2) <=> b001(2)))),
% 219.20/141.75 inference(quant_inst,[status(thm)],[])).
% 219.20/141.75 tff(40209,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b001(B)))) | (v124(constB15, 2) <=> b001(2))),
% 219.20/141.75 inference(modus_ponens,[status(thm)],[40208, 40207])).
% 219.20/141.75 tff(40210,plain,
% 219.20/141.75 (v124(constB15, 2) <=> b001(2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40209, 40201])).
% 219.20/141.75 tff(40211,plain,
% 219.20/141.75 ((~(v124(constB15, 2) <=> b001(2))) | (~v124(constB15, 2)) | b001(2)),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40212,plain,
% 219.20/141.75 ((~(v124(constB15, 2) <=> b001(2))) | (~v124(constB15, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40211, 1831])).
% 219.20/141.75 tff(40213,plain,
% 219.20/141.75 (~v124(constB15, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40212, 40210])).
% 219.20/141.75 tff(40214,plain,
% 219.20/141.75 ((~(v121(constB15, 2) <=> v124(constB15, 2))) | (~v121(constB15, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24583, 40213])).
% 219.20/141.75 tff(40215,plain,
% 219.20/141.75 (~v121(constB15, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40214, 24220])).
% 219.20/141.75 tff(40216,plain,
% 219.20/141.75 (~v84(constB15, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[23501, 40195])).
% 219.20/141.75 tff(40217,plain,
% 219.20/141.75 (v108(constB15) | v119(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24626, 40216])).
% 219.20/141.75 tff(40218,plain,
% 219.20/141.75 ((~(v107(constB15) <=> (v108(constB15) | v119(constB15)))) | v107(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24123, 40217])).
% 219.20/141.75 tff(40219,plain,
% 219.20/141.75 (v107(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40218, 21654])).
% 219.20/141.75 tff(40220,plain,
% 219.20/141.75 (~((~v107(constB15)) | (~v120(constB15)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24131, 40219])).
% 219.20/141.75 tff(40221,plain,
% 219.20/141.75 (v106(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24134, 40220])).
% 219.20/141.75 tff(40222,plain,
% 219.20/141.75 (v105(constB15) | v106(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24136, 40221])).
% 219.20/141.75 tff(40223,plain,
% 219.20/141.75 (v102(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24139, 40222])).
% 219.20/141.75 tff(40224,plain,
% 219.20/141.75 (v104(constB16)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24142, 40223])).
% 219.20/141.75 tff(40225,plain,
% 219.20/141.75 (~((~v95(constB16)) | (~v104(constB16)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24173, 40224])).
% 219.20/141.75 tff(40226,plain,
% 219.20/141.75 (v94(constB16)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24176, 40225])).
% 219.20/141.75 tff(40227,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24184, 40226])).
% 219.20/141.75 tff(40228,plain,
% 219.20/141.75 (v84(constB16, 2) <=> v123(constB16, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24238, 40227])).
% 219.20/141.75 tff(40229,plain,
% 219.20/141.75 (v123(constB16, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24690, 40228])).
% 219.20/141.75 tff(40230,plain,
% 219.20/141.75 ((~(v123(constB16, 2) <=> v121(constB15, 2))) | v121(constB15, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24586, 40229])).
% 219.20/141.75 tff(40231,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40230, 40215, 24229])).
% 219.20/141.75 tff(40232,plain,(v84(constB13, 1) | (~v84(constB16, 2)) | v114(constB15) | v118(constB15) | (~v84(constB15, 2))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40233,plain,
% 219.20/141.75 (v84(constB13, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40232, 40085, 40010, 23512, 40001])).
% 219.20/141.75 tff(40234,plain,
% 219.20/141.75 (v84(constB12, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22849, 40233])).
% 219.20/141.75 tff(40235,plain,
% 219.20/141.75 (v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[21842, 40233])).
% 219.20/141.75 tff(40236,plain,
% 219.20/141.75 (~v114(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[21849, 40235])).
% 219.20/141.75 tff(40237,plain,
% 219.20/141.75 (~(v112(constB13) | v115(constB13))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[38961, 40236, 40002, 23512])).
% 219.20/141.75 tff(40238,plain,
% 219.20/141.75 (~v115(constB13)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22918, 40237])).
% 219.20/141.75 tff(40239,plain,
% 219.20/141.75 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27336, 26532])).
% 219.20/141.75 tff(40240,assumption,(v84(constB16, 1) <=> v123(constB16, 1)), introduced(assumption)).
% 219.20/141.75 tff(40241,plain,
% 219.20/141.75 (v84(constB16, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24561, 40082])).
% 219.20/141.75 tff(40242,plain,
% 219.20/141.75 (v123(constB16, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[24563, 40241, 40240])).
% 219.20/141.75 tff(40243,plain,
% 219.20/141.75 (v121(constB15, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27656, 40242])).
% 219.20/141.75 tff(40244,plain,
% 219.20/141.75 (v124(constB15, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27654, 40243])).
% 219.20/141.75 tff(40245,plain,
% 219.20/141.75 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB15, B) <=> b101(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27652, 40244])).
% 219.20/141.75 tff(40246,plain,
% 219.20/141.75 (~v117(constB15)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27638, 40245])).
% 219.20/141.75 tff(40247,plain,
% 219.20/141.75 (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27633, 40246])).
% 219.20/141.75 tff(40248,plain,
% 219.20/141.75 (v84(constB15, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[28020, 40247, 40239, 27984])).
% 219.20/141.75 tff(40249,plain,
% 219.20/141.75 (v84(constB14, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27537, 40248])).
% 219.20/141.75 tff(40250,plain,
% 219.20/141.75 (v84(constB13, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27531, 40249, 40238])).
% 219.20/141.75 tff(40251,plain,
% 219.20/141.75 (v84(constB12, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27427, 40250])).
% 219.20/141.75 tff(40252,plain,
% 219.20/141.75 (v84(constB11, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[39068, 40249, 40002, 23512, 40003])).
% 219.20/141.75 tff(40253,plain,
% 219.20/141.75 (v84(constB11, 2) | v84(constB11, 0) | (~v84(constB11, 1))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[20930, 40252])).
% 219.20/141.75 tff(40254,plain,
% 219.20/141.75 (~v115(constB11)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[22626, 40253])).
% 219.20/141.75 tff(40255,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27424, 40254, 40251, 40234, 40003])).
% 219.20/141.75 tff(40256,plain,(v84(constB19, 2) | v114(constB15) | (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))) | (~(v84(constB16, 1) <=> v123(constB16, 1))) | v115(constB17) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))) | (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40257,plain,
% 219.20/141.75 (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40256, 40000, 39999, 27984, 39778, 20431, 39998, 21475])).
% 219.20/141.75 tff(40258,plain,
% 219.20/141.75 (v115(constB19)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[26222, 40257])).
% 219.20/141.75 tff(40259,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[39806, 40258])).
% 219.20/141.75 tff(40260,plain,
% 219.20/141.75 (v84(constB20, 2) <=> v123(constB20, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[26460, 26989])).
% 219.20/141.75 tff(40261,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 2) <=> b011(2)))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40262,plain,
% 219.20/141.75 (($false | $false | (v124(constB19, 2) <=> b011(2))) <=> (v124(constB19, 2) <=> b011(2))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40263,plain,
% 219.20/141.75 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b011(2))) <=> ($false | $false | (v124(constB19, 2) <=> b011(2)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[534, 533])).
% 219.20/141.75 tff(40264,plain,
% 219.20/141.75 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b011(2))) <=> (v124(constB19, 2) <=> b011(2))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40263, 40262])).
% 219.20/141.75 tff(40265,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 2) <=> b011(2)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[40264])).
% 219.20/141.75 tff(40266,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 2) <=> b011(2)))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40265, 40261])).
% 219.20/141.75 tff(40267,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB19, 2) <=> b011(2)))),
% 219.20/141.75 inference(quant_inst,[status(thm)],[])).
% 219.20/141.75 tff(40268,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 2) <=> b011(2))),
% 219.20/141.75 inference(modus_ponens,[status(thm)],[40267, 40266])).
% 219.20/141.75 tff(40269,plain,
% 219.20/141.75 (v124(constB19, 2) <=> b011(2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40268, 39785])).
% 219.20/141.75 tff(40270,plain,
% 219.20/141.75 ((~(v124(constB19, 2) <=> b011(2))) | (~v124(constB19, 2)) | b011(2)),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40271,plain,
% 219.20/141.75 ((~(v124(constB19, 2) <=> b011(2))) | (~v124(constB19, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40270, 2569])).
% 219.20/141.75 tff(40272,plain,
% 219.20/141.75 (~v124(constB19, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40271, 40269])).
% 219.20/141.75 tff(40273,plain,
% 219.20/141.75 ((~(v121(constB19, 2) <=> v124(constB19, 2))) | (~v121(constB19, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27894, 40272])).
% 219.20/141.75 tff(40274,plain,
% 219.20/141.75 (~v121(constB19, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40273, 26321])).
% 219.20/141.75 tff(40275,plain,
% 219.20/141.75 ((~(v123(constB20, 2) <=> v121(constB19, 2))) | (~v123(constB20, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27897, 40274])).
% 219.20/141.75 tff(40276,plain,
% 219.20/141.75 (~v123(constB20, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40275, 26340])).
% 219.20/141.75 tff(40277,plain,
% 219.20/141.75 ((~(v84(constB20, 2) <=> v123(constB20, 2))) | (~v84(constB20, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27900, 40276])).
% 219.20/141.75 tff(40278,plain,
% 219.20/141.75 (~v84(constB20, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40277, 40260])).
% 219.20/141.75 tff(40279,plain,
% 219.20/141.75 ((~(v84(constB21, 2) <=> v84(constB20, 2))) | (~v84(constB21, 2))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27902, 40278])).
% 219.20/141.75 tff(40280,plain,
% 219.20/141.75 (~v84(constB21, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40279, 27009])).
% 219.20/141.75 tff(40281,plain,
% 219.20/141.75 (v84(constB20, 1) <=> v123(constB20, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[26731, 26989])).
% 219.20/141.75 tff(40282,plain,
% 219.20/141.75 (v124(constB19, 1) <=> b011(1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[39793, 39785])).
% 219.20/141.75 tff(40283,plain,
% 219.20/141.75 ((~(v124(constB19, 1) <=> b011(1))) | v124(constB19, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[39783, 2593])).
% 219.20/141.75 tff(40284,plain,
% 219.20/141.75 (v124(constB19, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40283, 40282])).
% 219.20/141.75 tff(40285,plain,
% 219.20/141.75 ((~(v121(constB19, 1) <=> v124(constB19, 1))) | v121(constB19, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27054, 40284])).
% 219.20/141.75 tff(40286,plain,
% 219.20/141.75 (v121(constB19, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40285, 26691])).
% 219.20/141.75 tff(40287,plain,
% 219.20/141.75 ((~(v123(constB20, 1) <=> v121(constB19, 1))) | v123(constB20, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27060, 40286])).
% 219.20/141.75 tff(40288,plain,
% 219.20/141.75 (v123(constB20, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40287, 26700])).
% 219.20/141.75 tff(40289,plain,
% 219.20/141.75 ((~(v84(constB20, 1) <=> v123(constB20, 1))) | v84(constB20, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27063, 40288])).
% 219.20/141.75 tff(40290,plain,
% 219.20/141.75 (v84(constB20, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40289, 40281])).
% 219.20/141.75 tff(40291,plain,
% 219.20/141.75 ((~(v84(constB21, 1) <=> v84(constB20, 1))) | v84(constB21, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27065, 40290])).
% 219.20/141.75 tff(40292,plain,
% 219.20/141.75 (v84(constB21, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40291, 29757])).
% 219.20/141.75 tff(40293,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25599, 40292, 40280, 25569])).
% 219.20/141.75 tff(40294,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v111(constB21) | v116(constB21)) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40295,plain,
% 219.20/141.75 (v111(constB21) | v116(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40294, 40259, 39708])).
% 219.20/141.75 tff(40296,plain,
% 219.20/141.75 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27084, 39905])).
% 219.20/141.75 tff(40297,plain,
% 219.20/141.75 (~v113(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27087, 40296])).
% 219.20/141.75 tff(40298,plain,
% 219.20/141.75 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27079, 39905])).
% 219.20/141.75 tff(40299,plain,
% 219.20/141.75 ((~v114(constB21)) | (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[27081, 26049])).
% 219.20/141.75 tff(40300,plain,
% 219.20/141.75 (~v114(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40299, 40298])).
% 219.20/141.75 tff(40301,plain,
% 219.20/141.75 (~(v113(constB21) | v114(constB21))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[29850, 40300, 40297])).
% 219.20/141.75 tff(40302,assumption,(~(v112(constB21) <=> (v113(constB21) | v114(constB21)))), introduced(assumption)).
% 219.20/141.75 tff(40303,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[26077, 283, 40302])).
% 219.20/141.75 tff(40304,plain,(v112(constB21) <=> (v113(constB21) | v114(constB21))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40305,plain,
% 219.20/141.75 ((~v112(constB21)) | (v113(constB21) | v114(constB21))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[29852, 40304])).
% 219.20/141.75 tff(40306,plain,
% 219.20/141.75 (~v112(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40305, 40301])).
% 219.20/141.75 tff(40307,assumption,(~v124(constB19, 0)), introduced(assumption)).
% 219.20/141.75 tff(40308,plain,
% 219.20/141.75 ((~(v124(constB19, 0) <=> b011(0))) | v124(constB19, 0) | (~b011(0))),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40309,plain,
% 219.20/141.75 (~(v124(constB19, 0) <=> b011(0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40308, 2025, 40307])).
% 219.20/141.75 tff(40310,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 0) <=> b011(0)))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40311,plain,
% 219.20/141.75 (($false | $false | (v124(constB19, 0) <=> b011(0))) <=> (v124(constB19, 0) <=> b011(0))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40312,plain,
% 219.20/141.75 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b011(0))) <=> ($false | $false | (v124(constB19, 0) <=> b011(0)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.75 tff(40313,plain,
% 219.20/141.75 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b011(0))) <=> (v124(constB19, 0) <=> b011(0))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40312, 40311])).
% 219.20/141.75 tff(40314,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 0) <=> b011(0)))),
% 219.20/141.75 inference(monotonicity,[status(thm)],[40313])).
% 219.20/141.75 tff(40315,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 0) <=> b011(0)))),
% 219.20/141.75 inference(transitivity,[status(thm)],[40314, 40310])).
% 219.20/141.75 tff(40316,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB19, 0) <=> b011(0)))),
% 219.20/141.75 inference(quant_inst,[status(thm)],[])).
% 219.20/141.75 tff(40317,plain,
% 219.20/141.75 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | (v124(constB19, 0) <=> b011(0))),
% 219.20/141.75 inference(modus_ponens,[status(thm)],[40316, 40315])).
% 219.20/141.75 tff(40318,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40317, 39785, 40309])).
% 219.20/141.75 tff(40319,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b011(B)))) | v124(constB19, 0)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40320,plain,
% 219.20/141.75 (v124(constB19, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40319, 40259])).
% 219.20/141.75 tff(40321,plain,
% 219.20/141.75 ((~(v121(constB19, 0) <=> v124(constB19, 0))) | v121(constB19, 0) | (~v124(constB19, 0))),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40322,plain,
% 219.20/141.75 (v121(constB19, 0) | (~v124(constB19, 0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40321, 39841])).
% 219.20/141.75 tff(40323,plain,
% 219.20/141.75 (v121(constB19, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40322, 40320])).
% 219.20/141.75 tff(40324,plain,
% 219.20/141.75 ((~(v123(constB20, 0) <=> v121(constB19, 0))) | v123(constB20, 0) | (~v121(constB19, 0))),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40325,plain,
% 219.20/141.75 (v123(constB20, 0) | (~v121(constB19, 0))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40324, 27945])).
% 219.20/141.75 tff(40326,plain,
% 219.20/141.75 (v123(constB20, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40325, 40323])).
% 219.20/141.75 tff(40327,plain,
% 219.20/141.75 ((~(v84(constB20, 0) <=> v123(constB20, 0))) | v84(constB20, 0) | (~v123(constB20, 0))),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40328,plain,
% 219.20/141.75 (v84(constB20, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40327, 40326, 39711])).
% 219.20/141.75 tff(40329,plain,
% 219.20/141.75 (v84(constB21, 0)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[26830, 40328])).
% 219.20/141.75 tff(40330,plain,
% 219.20/141.75 ((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[26816, 40329])).
% 219.20/141.75 tff(40331,plain,
% 219.20/141.75 (~v115(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[26281, 40330])).
% 219.20/141.75 tff(40332,plain,
% 219.20/141.75 (~(v112(constB21) | v115(constB21))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[29858, 40331, 40306])).
% 219.20/141.75 tff(40333,assumption,(~(v111(constB21) <=> (v112(constB21) | v115(constB21)))), introduced(assumption)).
% 219.20/141.75 tff(40334,plain,
% 219.20/141.75 ($false),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25586, 274, 40333])).
% 219.20/141.75 tff(40335,plain,(v111(constB21) <=> (v112(constB21) | v115(constB21))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.75 tff(40336,plain,
% 219.20/141.75 ((~v111(constB21)) | (v112(constB21) | v115(constB21))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[29861, 40335])).
% 219.20/141.75 tff(40337,plain,
% 219.20/141.75 (~v111(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40336, 40332])).
% 219.20/141.75 tff(40338,assumption,(v111(constB21) | v116(constB21)), introduced(assumption)).
% 219.20/141.75 tff(40339,plain,
% 219.20/141.75 (v110(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25601, 40338, 25492])).
% 219.20/141.75 tff(40340,plain,
% 219.20/141.75 (v110(constB21) | v117(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25636, 40339])).
% 219.20/141.75 tff(40341,plain,
% 219.20/141.75 (v109(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25633, 40340, 25605])).
% 219.20/141.75 tff(40342,plain,
% 219.20/141.75 (v109(constB21) | v118(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25631, 40341])).
% 219.20/141.75 tff(40343,plain,
% 219.20/141.75 (v108(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25628, 40342, 25607])).
% 219.20/141.75 tff(40344,plain,
% 219.20/141.75 (v108(constB21) | v119(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25626, 40343])).
% 219.20/141.75 tff(40345,plain,
% 219.20/141.75 (v107(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25623, 40344, 25609])).
% 219.20/141.75 tff(40346,plain,
% 219.20/141.75 (~((~v107(constB21)) | (~v120(constB21)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25621, 40345])).
% 219.20/141.75 tff(40347,plain,
% 219.20/141.75 (v106(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25613, 40346])).
% 219.20/141.75 tff(40348,plain,
% 219.20/141.75 (v105(constB21) | v106(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25640, 40347])).
% 219.20/141.75 tff(40349,plain,
% 219.20/141.75 (v102(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25643, 40348])).
% 219.20/141.75 tff(40350,plain,
% 219.20/141.75 (v104(constB22)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25646, 40349])).
% 219.20/141.75 tff(40351,plain,
% 219.20/141.75 (~((~v95(constB22)) | (~v104(constB22)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25680, 40350])).
% 219.20/141.75 tff(40352,plain,
% 219.20/141.75 (v94(constB22)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25683, 40351])).
% 219.20/141.75 tff(40353,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25691, 40352])).
% 219.20/141.75 tff(40354,plain,
% 219.20/141.75 (v84(constB22, 1) <=> v123(constB22, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25730, 40353])).
% 219.20/141.75 tff(40355,plain,
% 219.20/141.75 (v123(constB22, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25894, 40354, 25545])).
% 219.20/141.75 tff(40356,plain,
% 219.20/141.75 (v121(constB21, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25892, 40355])).
% 219.20/141.75 tff(40357,plain,
% 219.20/141.75 (v124(constB21, 1)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[25878, 40356])).
% 219.20/141.75 tff(40358,plain,
% 219.20/141.75 ((~(v124(constB21, 1) <=> b100(1))) | (~v124(constB21, 1)) | b100(1)),
% 219.20/141.75 inference(tautology,[status(thm)],[])).
% 219.20/141.75 tff(40359,plain,
% 219.20/141.75 (~(v124(constB21, 1) <=> b100(1))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[40358, 2274, 40357])).
% 219.20/141.75 tff(40360,assumption,(~v111(constB21)), introduced(assumption)).
% 219.20/141.75 tff(40361,plain,
% 219.20/141.75 (v116(constB21)),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[29871, 40338, 40360])).
% 219.20/141.75 tff(40362,plain,
% 219.20/141.75 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))),
% 219.20/141.75 inference(unit_resolution,[status(thm)],[26247, 40361])).
% 219.20/141.75 tff(40363,plain,
% 219.20/141.75 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | (v124(constB21, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | (v124(constB21, 1) <=> b100(1)))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.75 tff(40364,plain,
% 219.20/141.75 (($false | $false | (v124(constB21, 1) <=> b100(1))) <=> (v124(constB21, 1) <=> b100(1))),
% 219.20/141.75 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40365,plain,
% 219.20/141.76 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b100(1))) <=> ($false | $false | (v124(constB21, 1) <=> b100(1)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[402, 401])).
% 219.20/141.76 tff(40366,plain,
% 219.20/141.76 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b100(1))) <=> (v124(constB21, 1) <=> b100(1))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40365, 40364])).
% 219.20/141.76 tff(40367,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | (v124(constB21, 1) <=> b100(1)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[40366])).
% 219.20/141.76 tff(40368,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | (v124(constB21, 1) <=> b100(1)))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40367, 40363])).
% 219.20/141.76 tff(40369,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB21, 1) <=> b100(1)))),
% 219.20/141.76 inference(quant_inst,[status(thm)],[])).
% 219.20/141.76 tff(40370,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))) | (v124(constB21, 1) <=> b100(1))),
% 219.20/141.76 inference(modus_ponens,[status(thm)],[40369, 40368])).
% 219.20/141.76 tff(40371,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40370, 40362, 40359])).
% 219.20/141.76 tff(40372,plain,((~(v111(constB21) | v116(constB21))) | (~v84(constB22, 1)) | v111(constB21)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40373,plain,
% 219.20/141.76 (~v84(constB22, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40372, 40337, 40295])).
% 219.20/141.76 tff(40374,plain,
% 219.20/141.76 (~v84(constB23, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25473, 40373])).
% 219.20/141.76 tff(40375,plain,
% 219.20/141.76 (v116(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[29871, 40337, 40295])).
% 219.20/141.76 tff(40376,plain,
% 219.20/141.76 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b100(B)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26247, 40375])).
% 219.20/141.76 tff(40377,plain,
% 219.20/141.76 (v124(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26236, 40376])).
% 219.20/141.76 tff(40378,plain,
% 219.20/141.76 (v121(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25925, 40377])).
% 219.20/141.76 tff(40379,plain,
% 219.20/141.76 (v123(constB22, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25922, 40378])).
% 219.20/141.76 tff(40380,assumption,(~(v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))))), introduced(assumption)).
% 219.20/141.76 tff(40381,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25567, 521, 40380])).
% 219.20/141.76 tff(40382,plain,(v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40383,plain,
% 219.20/141.76 ((~v116(constB21)) | (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[27033, 40382])).
% 219.20/141.76 tff(40384,plain,
% 219.20/141.76 (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40383, 40375])).
% 219.20/141.76 tff(40385,plain,
% 219.20/141.76 (~v84(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[27031, 40384])).
% 219.20/141.76 tff(40386,plain,
% 219.20/141.76 (v84(constB22, 2) <=> v84(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25556, 26081])).
% 219.20/141.76 tff(40387,plain,
% 219.20/141.76 ((~(v84(constB22, 2) <=> v84(constB21, 2))) | (~v84(constB22, 2)) | v84(constB21, 2)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40388,plain,
% 219.20/141.76 ((~(v84(constB22, 2) <=> v84(constB21, 2))) | (~v84(constB22, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40387, 25574])).
% 219.20/141.76 tff(40389,plain,
% 219.20/141.76 (~v84(constB22, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40388, 40386])).
% 219.20/141.76 tff(40390,plain,
% 219.20/141.76 (~v84(constB22, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25638, 40389, 26147])).
% 219.20/141.76 tff(40391,plain,
% 219.20/141.76 (v84(constB21, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26163, 25574, 26080])).
% 219.20/141.76 tff(40392,plain,
% 219.20/141.76 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[27079, 40391])).
% 219.20/141.76 tff(40393,plain,
% 219.20/141.76 (~v84(constB23, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25851, 40389])).
% 219.20/141.76 tff(40394,plain,
% 219.20/141.76 ((~(v84(constB23, 2) <=> v84(constB22, 2))) | (~v84(constB22, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25488, 39248])).
% 219.20/141.76 tff(40395,plain,
% 219.20/141.76 (~v84(constB22, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40394, 29942])).
% 219.20/141.76 tff(40396,plain,
% 219.20/141.76 ((~(v84(constB22, 2) <=> v84(constB21, 2))) | (~v84(constB21, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25559, 40395])).
% 219.20/141.76 tff(40397,plain,
% 219.20/141.76 (~v84(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40396, 39142])).
% 219.20/141.76 tff(40398,plain,
% 219.20/141.76 ((~(v84(constB23, 1) <=> v84(constB22, 1))) | (~v84(constB22, 1))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[27981, 39250])).
% 219.20/141.76 tff(40399,plain,
% 219.20/141.76 (~v84(constB22, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40398, 29756])).
% 219.20/141.76 tff(40400,plain,
% 219.20/141.76 ((~(v84(constB22, 1) <=> v84(constB21, 1))) | (~v84(constB21, 1))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[29914, 40399])).
% 219.20/141.76 tff(40401,plain,
% 219.20/141.76 (~v84(constB21, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40400, 39139])).
% 219.20/141.76 tff(40402,plain,
% 219.20/141.76 (v84(constB22, 0) <=> v84(constB21, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[30023, 39138])).
% 219.20/141.76 tff(40403,plain,
% 219.20/141.76 (v84(constB23, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39252, 39248, 39249, 39250])).
% 219.20/141.76 tff(40404,plain,
% 219.20/141.76 ((~(v84(constB23, 0) <=> v84(constB22, 0))) | v84(constB22, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26004, 40403])).
% 219.20/141.76 tff(40405,plain,
% 219.20/141.76 (v84(constB22, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40404, 30015])).
% 219.20/141.76 tff(40406,plain,
% 219.20/141.76 ((~(v84(constB22, 0) <=> v84(constB21, 0))) | (~v84(constB22, 0)) | v84(constB21, 0)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40407,plain,
% 219.20/141.76 ((~(v84(constB22, 0) <=> v84(constB21, 0))) | v84(constB21, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40406, 40405])).
% 219.20/141.76 tff(40408,plain,
% 219.20/141.76 (v84(constB21, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40407, 40402])).
% 219.20/141.76 tff(40409,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26073, 40408, 40401, 40397, 26053])).
% 219.20/141.76 tff(40410,plain,(v84(constB23, 2) | (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | v84(constB23, 1) | (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40411,plain,
% 219.20/141.76 (v84(constB23, 2) | (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))) | v84(constB23, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40410, 39247])).
% 219.20/141.76 tff(40412,plain,
% 219.20/141.76 (v84(constB23, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40411, 40393, 26081, 40392])).
% 219.20/141.76 tff(40413,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25473, 40412, 40390])).
% 219.20/141.76 tff(40414,plain,(v84(constB21, 2) | v94(constB22)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40415,plain,
% 219.20/141.76 (v94(constB22)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40414, 40385])).
% 219.20/141.76 tff(40416,plain,
% 219.20/141.76 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25691, 40415])).
% 219.20/141.76 tff(40417,plain,
% 219.20/141.76 (v84(constB22, 2) <=> v123(constB22, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25716, 40416])).
% 219.20/141.76 tff(40418,plain,
% 219.20/141.76 (v84(constB22, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25919, 40417, 40379])).
% 219.20/141.76 tff(40419,plain,
% 219.20/141.76 (v84(constB23, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25489, 40418])).
% 219.20/141.76 tff(40420,plain,
% 219.20/141.76 (((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))) | v84(constB23, 1)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40421,plain,
% 219.20/141.76 ((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40420, 40374])).
% 219.20/141.76 tff(40422,plain,
% 219.20/141.76 (v84(constB23, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39359, 40419, 38719, 40421])).
% 219.20/141.76 tff(40423,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39378, 40422, 40419, 40374, 39444])).
% 219.20/141.76 tff(40424,plain,(v84(constB19, 2) | (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))) | (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))) | (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40425,plain,
% 219.20/141.76 (v84(constB19, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40424, 39695, 24230, 20431, 39436, 39431])).
% 219.20/141.76 tff(40426,plain,
% 219.20/141.76 (v84(constB22, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25851, 39430])).
% 219.20/141.76 tff(40427,plain,
% 219.20/141.76 (~v119(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39322, 39102])).
% 219.20/141.76 tff(40428,plain,
% 219.20/141.76 ((~(v119(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))))) | ((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39324, 40427])).
% 219.20/141.76 tff(40429,plain,
% 219.20/141.76 ((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40428, 30014])).
% 219.20/141.76 tff(40430,plain,
% 219.20/141.76 (v84(constB23, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39355, 39694, 40429, 39430])).
% 219.20/141.76 tff(40431,plain,
% 219.20/141.76 (v84(constB22, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26005, 40430])).
% 219.20/141.76 tff(40432,assumption,(v84(constB22, 2)), introduced(assumption)).
% 219.20/141.76 tff(40433,plain,
% 219.20/141.76 (v84(constB23, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25489, 40432])).
% 219.20/141.76 tff(40434,plain,
% 219.20/141.76 ((v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))) | (~v84(constB23, 2))),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40435,plain,
% 219.20/141.76 (v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40434, 40433])).
% 219.20/141.76 tff(40436,plain,
% 219.20/141.76 (((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)) | v84(constB21, 1)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40437,plain,
% 219.20/141.76 ((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40436, 26054])).
% 219.20/141.76 tff(40438,plain,
% 219.20/141.76 (~v115(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26281, 40437])).
% 219.20/141.76 tff(40439,assumption,(v84(constB22, 0)), introduced(assumption)).
% 219.20/141.76 tff(40440,plain,
% 219.20/141.76 (v123(constB22, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25848, 26167, 40432])).
% 219.20/141.76 tff(40441,plain,
% 219.20/141.76 (v121(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25846, 40440])).
% 219.20/141.76 tff(40442,plain,
% 219.20/141.76 (v124(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25832, 40441])).
% 219.20/141.76 tff(40443,plain,
% 219.20/141.76 ((~(v124(constB21, 2) <=> b010(2))) | (~v124(constB21, 2)) | b010(2)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40444,plain,
% 219.20/141.76 (~(v124(constB21, 2) <=> b010(2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40443, 2485, 40442])).
% 219.20/141.76 tff(40445,plain,
% 219.20/141.76 (~(v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26171, 25574, 25806, 26054])).
% 219.20/141.76 tff(40446,plain,
% 219.20/141.76 (v114(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26051, 40445])).
% 219.20/141.76 tff(40447,plain,
% 219.20/141.76 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26037, 2418, 40446])).
% 219.20/141.76 tff(40448,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 2) <=> b010(2)))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40449,plain,
% 219.20/141.76 (($false | $false | (v124(constB21, 2) <=> b010(2))) <=> (v124(constB21, 2) <=> b010(2))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40450,plain,
% 219.20/141.76 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b010(2))) <=> ($false | $false | (v124(constB21, 2) <=> b010(2)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[534, 533])).
% 219.20/141.76 tff(40451,plain,
% 219.20/141.76 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b010(2))) <=> (v124(constB21, 2) <=> b010(2))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40450, 40449])).
% 219.20/141.76 tff(40452,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 2) <=> b010(2)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[40451])).
% 219.20/141.76 tff(40453,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 2) <=> b010(2)))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40452, 40448])).
% 219.20/141.76 tff(40454,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB21, 2) <=> b010(2)))),
% 219.20/141.76 inference(quant_inst,[status(thm)],[])).
% 219.20/141.76 tff(40455,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b010(B)))) | (v124(constB21, 2) <=> b010(2))),
% 219.20/141.76 inference(modus_ponens,[status(thm)],[40454, 40453])).
% 219.20/141.76 tff(40456,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40455, 40447, 40444])).
% 219.20/141.76 tff(40457,plain,(v84(constB21, 2) | (~v84(constB22, 2)) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))) | v84(constB21, 1)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40458,plain,
% 219.20/141.76 (v84(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40457, 26054, 25806, 40432])).
% 219.20/141.76 tff(40459,plain,
% 219.20/141.76 (v109(constB21) | v118(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39867, 26054, 40458])).
% 219.20/141.76 tff(40460,plain,
% 219.20/141.76 (v108(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25628, 40459, 25607])).
% 219.20/141.76 tff(40461,plain,
% 219.20/141.76 (v108(constB21) | v119(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25626, 40460])).
% 219.20/141.76 tff(40462,plain,
% 219.20/141.76 (v107(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25623, 40461, 25609])).
% 219.20/141.76 tff(40463,plain,
% 219.20/141.76 (~((~v107(constB21)) | (~v120(constB21)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25621, 40462])).
% 219.20/141.76 tff(40464,plain,
% 219.20/141.76 (v106(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25613, 40463])).
% 219.20/141.76 tff(40465,plain,
% 219.20/141.76 (v105(constB21) | v106(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25640, 40464])).
% 219.20/141.76 tff(40466,plain,
% 219.20/141.76 (v102(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25643, 40465])).
% 219.20/141.76 tff(40467,plain,
% 219.20/141.76 (v104(constB22)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25646, 40466])).
% 219.20/141.76 tff(40468,plain,
% 219.20/141.76 (~((~v95(constB22)) | (~v104(constB22)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25680, 40467])).
% 219.20/141.76 tff(40469,plain,
% 219.20/141.76 (v94(constB22)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25683, 40468])).
% 219.20/141.76 tff(40470,plain,
% 219.20/141.76 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25691, 40469])).
% 219.20/141.76 tff(40471,plain,
% 219.20/141.76 (v84(constB22, 0) <=> v123(constB22, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25704, 40470])).
% 219.20/141.76 tff(40472,plain,
% 219.20/141.76 (v123(constB22, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26007, 40471, 40439])).
% 219.20/141.76 tff(40473,plain,
% 219.20/141.76 (v121(constB21, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26010, 40472])).
% 219.20/141.76 tff(40474,plain,
% 219.20/141.76 (v124(constB21, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26013, 40473])).
% 219.20/141.76 tff(40475,plain,
% 219.20/141.76 ((~(v124(constB21, 0) <=> b110(0))) | (~v124(constB21, 0)) | b110(0)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40476,plain,
% 219.20/141.76 (~(v124(constB21, 0) <=> b110(0))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40475, 3186, 40474])).
% 219.20/141.76 tff(40477,plain,
% 219.20/141.76 (v84(constB22, 2) <=> v123(constB22, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25716, 40470])).
% 219.20/141.76 tff(40478,plain,
% 219.20/141.76 (v84(constB22, 1) <=> v123(constB22, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25730, 40470])).
% 219.20/141.76 tff(40479,plain,
% 219.20/141.76 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25899, 40478, 25806, 40477, 40471])).
% 219.20/141.76 tff(40480,plain,
% 219.20/141.76 (v123(constB22, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25894, 40478, 25545])).
% 219.20/141.76 tff(40481,plain,
% 219.20/141.76 (v121(constB21, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25892, 40480])).
% 219.20/141.76 tff(40482,plain,
% 219.20/141.76 (v124(constB21, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25878, 40481])).
% 219.20/141.76 tff(40483,plain,
% 219.20/141.76 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b101(B)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39896, 40482])).
% 219.20/141.76 tff(40484,plain,
% 219.20/141.76 (~v117(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25951, 40483])).
% 219.20/141.76 tff(40485,plain,
% 219.20/141.76 (((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)) | v84(constB21, 1)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40486,plain,
% 219.20/141.76 ((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40485, 26054])).
% 219.20/141.76 tff(40487,plain,
% 219.20/141.76 (~v116(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[27033, 40486, 40382])).
% 219.20/141.76 tff(40488,plain,
% 219.20/141.76 ((v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)) | (~v84(constB21, 2))),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40489,plain,
% 219.20/141.76 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40488, 40458])).
% 219.20/141.76 tff(40490,plain,
% 219.20/141.76 (~v114(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40299, 40489])).
% 219.20/141.76 tff(40491,plain,
% 219.20/141.76 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39860, 40458])).
% 219.20/141.76 tff(40492,plain,
% 219.20/141.76 (~v113(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[27087, 40491])).
% 219.20/141.76 tff(40493,plain,
% 219.20/141.76 (v117(constB21) | v118(constB21) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b001(B)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26272, 1807, 40492, 40490, 26262, 40487])).
% 219.20/141.76 tff(40494,plain,
% 219.20/141.76 (v118(constB21)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40493, 40484, 40479])).
% 219.20/141.76 tff(40495,plain,
% 219.20/141.76 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25988, 40494])).
% 219.20/141.76 tff(40496,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 0) <=> b110(0)))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40497,plain,
% 219.20/141.76 (($false | $false | (v124(constB21, 0) <=> b110(0))) <=> (v124(constB21, 0) <=> b110(0))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40498,plain,
% 219.20/141.76 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b110(0))) <=> ($false | $false | (v124(constB21, 0) <=> b110(0)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.76 tff(40499,plain,
% 219.20/141.76 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b110(0))) <=> (v124(constB21, 0) <=> b110(0))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40498, 40497])).
% 219.20/141.76 tff(40500,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 0) <=> b110(0)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[40499])).
% 219.20/141.76 tff(40501,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 0) <=> b110(0)))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40500, 40496])).
% 219.20/141.76 tff(40502,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB21, 0) <=> b110(0)))),
% 219.20/141.76 inference(quant_inst,[status(thm)],[])).
% 219.20/141.76 tff(40503,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB21, B) <=> b110(B)))) | (v124(constB21, 0) <=> b110(0))),
% 219.20/141.76 inference(modus_ponens,[status(thm)],[40502, 40501])).
% 219.20/141.76 tff(40504,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40503, 40495, 40476])).
% 219.20/141.76 tff(40505,plain,(v84(constB21, 1) | v115(constB21) | (~v84(constB22, 0)) | (~v84(constB22, 1)) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))) | (~v84(constB22, 2))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40506,plain,
% 219.20/141.76 (~v84(constB22, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40505, 40439, 26054, 40438, 40432, 40435])).
% 219.20/141.76 tff(40507,plain,
% 219.20/141.76 (v84(constB23, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25804, 40439])).
% 219.20/141.76 tff(40508,plain,
% 219.20/141.76 (v84(constB23, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39378, 40507, 40433, 39444])).
% 219.20/141.76 tff(40509,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25473, 40508, 40506])).
% 219.20/141.76 tff(40510,plain,((~v84(constB22, 0)) | (~(v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0)))) | v84(constB21, 1) | (~v84(constB22, 2))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40511,plain,
% 219.20/141.76 (v84(constB21, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40510, 40431, 40426, 39436])).
% 219.20/141.76 tff(40512,plain,
% 219.20/141.76 (v84(constB20, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26218, 40511])).
% 219.20/141.76 tff(40513,plain,
% 219.20/141.76 (v84(constB19, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26804, 40512, 22697, 40425])).
% 219.20/141.76 tff(40514,plain,
% 219.20/141.76 (v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26772, 40425])).
% 219.20/141.76 tff(40515,plain,
% 219.20/141.76 (v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26757, 40425])).
% 219.20/141.76 tff(40516,plain,
% 219.20/141.76 ((~v116(constB19)) | (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26759, 39818])).
% 219.20/141.76 tff(40517,plain,
% 219.20/141.76 (~v116(constB19)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40516, 40515])).
% 219.20/141.76 tff(40518,plain,
% 219.20/141.76 (v84(constB18, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26657, 26704])).
% 219.20/141.76 tff(40519,plain,
% 219.20/141.76 ((v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0))) | (~v84(constB18, 2))),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40520,plain,
% 219.20/141.76 (v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40519, 40518])).
% 219.20/141.76 tff(40521,plain,
% 219.20/141.76 ((~(v114(constB18) <=> (~(v84(constB18, 1) | v84(constB18, 2) | (~v84(constB18, 0)))))) | (~v114(constB18))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22491, 40520])).
% 219.20/141.76 tff(40522,plain,
% 219.20/141.76 (~v114(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40521, 21568])).
% 219.20/141.76 tff(40523,plain,
% 219.20/141.76 ((v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2)) | (~v84(constB18, 2))),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40524,plain,
% 219.20/141.76 (v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40523, 40518])).
% 219.20/141.76 tff(40525,plain,
% 219.20/141.76 ((~(v113(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2))))) | (~v113(constB18))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22496, 40524])).
% 219.20/141.76 tff(40526,plain,
% 219.20/141.76 (~v113(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40525, 21529])).
% 219.20/141.76 tff(40527,plain,
% 219.20/141.76 (~(v113(constB18) | v114(constB18))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22499, 40526, 40522])).
% 219.20/141.76 tff(40528,plain,
% 219.20/141.76 ((~(v112(constB18) <=> (v113(constB18) | v114(constB18)))) | (~v112(constB18))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22501, 40527])).
% 219.20/141.76 tff(40529,plain,
% 219.20/141.76 (~v112(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40528, 21566])).
% 219.20/141.76 tff(40530,plain,
% 219.20/141.76 ((v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)) | (~v84(constB18, 2))),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40531,plain,
% 219.20/141.76 (v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40530, 40518])).
% 219.20/141.76 tff(40532,plain,
% 219.20/141.76 ((~(v115(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2))))) | (~v115(constB18))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22518, 40531])).
% 219.20/141.76 tff(40533,plain,
% 219.20/141.76 (~v115(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40532, 21539])).
% 219.20/141.76 tff(40534,plain,
% 219.20/141.76 ((~(v112(constB18) | v115(constB18))) | v112(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22521, 40533])).
% 219.20/141.76 tff(40535,plain,
% 219.20/141.76 (~(v112(constB18) | v115(constB18))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40534, 40529])).
% 219.20/141.76 tff(40536,plain,
% 219.20/141.76 (~v111(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22524, 40535, 21541])).
% 219.20/141.76 tff(40537,plain,
% 219.20/141.76 ((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22580, 40518])).
% 219.20/141.76 tff(40538,plain,
% 219.20/141.76 ((~(v116(constB18) <=> (~((~v84(constB18, 1)) | v84(constB18, 2) | (~v84(constB18, 0)))))) | (~v116(constB18))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22582, 40537])).
% 219.20/141.76 tff(40539,plain,
% 219.20/141.76 (~v116(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40538, 21589])).
% 219.20/141.76 tff(40540,plain,
% 219.20/141.76 ((~(v111(constB18) | v116(constB18))) | v111(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22585, 40539])).
% 219.20/141.76 tff(40541,plain,
% 219.20/141.76 (~(v111(constB18) | v116(constB18))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40540, 40536])).
% 219.20/141.76 tff(40542,plain,
% 219.20/141.76 (~v110(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22566, 40541, 21543])).
% 219.20/141.76 tff(40543,assumption,(~(v108(constB19) | v119(constB19))), introduced(assumption)).
% 219.20/141.76 tff(40544,plain,
% 219.20/141.76 (~v108(constB19)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26371, 40543])).
% 219.20/141.76 tff(40545,plain,
% 219.20/141.76 (~(v109(constB19) | v118(constB19))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26369, 40544])).
% 219.20/141.76 tff(40546,plain,
% 219.20/141.76 (~v109(constB19)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26362, 40545])).
% 219.20/141.76 tff(40547,plain,
% 219.20/141.76 (v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26360, 40546])).
% 219.20/141.76 tff(40548,assumption,(~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))), introduced(assumption)).
% 219.20/141.76 tff(40549,plain,
% 219.20/141.76 (~v84(constB18, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22558, 40548])).
% 219.20/141.76 tff(40550,plain,
% 219.20/141.76 ((~(v84(constB19, 1) <=> v84(constB18, 1))) | (~v84(constB19, 1))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25205, 40549])).
% 219.20/141.76 tff(40551,plain,
% 219.20/141.76 (~v84(constB19, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40550, 29762])).
% 219.20/141.76 tff(40552,plain,
% 219.20/141.76 ((v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))) | (~v84(constB18, 0))),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40553,plain,
% 219.20/141.76 (~v84(constB18, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40552, 40548])).
% 219.20/141.76 tff(40554,plain,
% 219.20/141.76 ((~(v84(constB19, 0) <=> v84(constB18, 0))) | (~v84(constB19, 0))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26670, 40553])).
% 219.20/141.76 tff(40555,plain,
% 219.20/141.76 (~v84(constB19, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40554, 29794])).
% 219.20/141.76 tff(40556,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25208, 40555, 40551, 22697, 26704])).
% 219.20/141.76 tff(40557,plain,((v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))) | (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))) | (~v84(constB19, 2))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40558,plain,
% 219.20/141.76 (v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40557, 40547, 26704])).
% 219.20/141.76 tff(40559,plain,
% 219.20/141.76 (~v117(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22560, 40558, 22557])).
% 219.20/141.76 tff(40560,plain,
% 219.20/141.76 (~(v110(constB18) | v117(constB18))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22563, 40559, 40542])).
% 219.20/141.76 tff(40561,plain,
% 219.20/141.76 (~v109(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22553, 40560, 21545])).
% 219.20/141.76 tff(40562,plain,
% 219.20/141.76 ((v109(constB19) | v118(constB19)) | (~v118(constB19))),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40563,plain,
% 219.20/141.76 (~v118(constB19)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40562, 40545])).
% 219.20/141.76 tff(40564,plain,
% 219.20/141.76 ((~(v118(constB19) <=> (~(v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2)))))) | v118(constB19) | (v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2)))),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40565,plain,
% 219.20/141.76 (v118(constB19) | (v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40564, 26744])).
% 219.20/141.76 tff(40566,plain,
% 219.20/141.76 (v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40565, 40563])).
% 219.20/141.76 tff(40567,plain,
% 219.20/141.76 (~v119(constB19)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26713, 40543])).
% 219.20/141.76 tff(40568,plain,
% 219.20/141.76 (v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26711, 40567, 26702])).
% 219.20/141.76 tff(40569,plain,
% 219.20/141.76 (v84(constB19, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26709, 40547, 26704, 40568])).
% 219.20/141.76 tff(40570,plain,
% 219.20/141.76 (v84(constB19, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25210, 40569, 26704, 40566])).
% 219.20/141.76 tff(40571,plain,
% 219.20/141.76 (v84(constB18, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25206, 40570])).
% 219.20/141.76 tff(40572,plain,
% 219.20/141.76 (v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22533, 40571])).
% 219.20/141.76 tff(40573,assumption,(~(v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))))), introduced(assumption)).
% 219.20/141.76 tff(40574,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22531, 394, 40573])).
% 219.20/141.76 tff(40575,plain,(v118(constB18) <=> (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40576,plain,
% 219.20/141.76 ((~v118(constB18)) | (~(v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22535, 40575])).
% 219.20/141.76 tff(40577,plain,
% 219.20/141.76 (~v118(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40576, 40572])).
% 219.20/141.76 tff(40578,plain,
% 219.20/141.76 (v84(constB18, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26671, 40569])).
% 219.20/141.76 tff(40579,plain,
% 219.20/141.76 (v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22541, 40578])).
% 219.20/141.76 tff(40580,assumption,(~(v119(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2)))))), introduced(assumption)).
% 219.20/141.76 tff(40581,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22539, 318, 40580])).
% 219.20/141.76 tff(40582,plain,(v119(constB18) <=> (~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40583,plain,
% 219.20/141.76 ((~v119(constB18)) | (~(v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22543, 40582])).
% 219.20/141.76 tff(40584,plain,
% 219.20/141.76 (~v119(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40583, 40579])).
% 219.20/141.76 tff(40585,plain,
% 219.20/141.76 (v108(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22546, 40584, 22538])).
% 219.20/141.76 tff(40586,plain,
% 219.20/141.76 (v109(constB18) | v118(constB18)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22549, 40585])).
% 219.20/141.76 tff(40587,plain,
% 219.20/141.76 ($false),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[22551, 40586, 40577, 40561])).
% 219.20/141.76 tff(40588,plain,((v108(constB19) | v119(constB19)) | (~(v108(constB18) | v119(constB18))) | (~v84(constB19, 2))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.76 tff(40589,plain,
% 219.20/141.76 (v108(constB19) | v119(constB19)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40588, 40425, 22538])).
% 219.20/141.76 tff(40590,plain,
% 219.20/141.76 (v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25415, 40425])).
% 219.20/141.76 tff(40591,plain,
% 219.20/141.76 (~v114(constB19)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25422, 40590])).
% 219.20/141.76 tff(40592,plain,
% 219.20/141.76 (v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25401, 40425])).
% 219.20/141.76 tff(40593,plain,
% 219.20/141.76 (~v115(constB19)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[25413, 40592])).
% 219.20/141.76 tff(40594,plain,
% 219.20/141.76 (~v117(constB19)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[26957, 22697])).
% 219.20/141.76 tff(40595,plain,
% 219.20/141.76 ((~(v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))))) | v116(constB27) | ((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40596,plain,
% 219.20/141.76 ((~(v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))))) | ((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40595, 38718])).
% 219.20/141.76 tff(40597,plain,
% 219.20/141.76 ((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40596, 30735])).
% 219.20/141.76 tff(40598,assumption,(v114(constB23)), introduced(assumption)).
% 219.20/141.76 tff(40599,plain,
% 219.20/141.76 (v113(constB23) | v114(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39260, 40598])).
% 219.20/141.76 tff(40600,plain,
% 219.20/141.76 ((~(v112(constB23) <=> (v113(constB23) | v114(constB23)))) | v112(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39262, 40599])).
% 219.20/141.76 tff(40601,plain,
% 219.20/141.76 (v112(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40600, 29753])).
% 219.20/141.76 tff(40602,plain,
% 219.20/141.76 (v112(constB23) | v115(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39284, 40601])).
% 219.20/141.76 tff(40603,plain,
% 219.20/141.76 (v111(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36188, 40602, 29751])).
% 219.20/141.76 tff(40604,plain,
% 219.20/141.76 (v111(constB23) | v116(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36190, 40603])).
% 219.20/141.76 tff(40605,plain,
% 219.20/141.76 (v110(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36192, 40604, 29749])).
% 219.20/141.76 tff(40606,plain,
% 219.20/141.76 (v110(constB23) | v117(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36194, 40605])).
% 219.20/141.76 tff(40607,plain,
% 219.20/141.76 (v109(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36196, 40606, 29747])).
% 219.20/141.76 tff(40608,plain,
% 219.20/141.76 (v109(constB23) | v118(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36198, 40607])).
% 219.20/141.76 tff(40609,plain,
% 219.20/141.76 (v108(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36200, 40608, 29745])).
% 219.20/141.76 tff(40610,plain,
% 219.20/141.76 (v108(constB23) | v119(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36202, 40609])).
% 219.20/141.76 tff(40611,plain,
% 219.20/141.76 (v107(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36204, 40610, 29743])).
% 219.20/141.76 tff(40612,plain,
% 219.20/141.76 (~((~v107(constB23)) | (~v120(constB23)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36212, 40611])).
% 219.20/141.76 tff(40613,plain,
% 219.20/141.76 (v106(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36215, 40612])).
% 219.20/141.76 tff(40614,plain,
% 219.20/141.76 (v105(constB23) | v106(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36217, 40613])).
% 219.20/141.76 tff(40615,plain,
% 219.20/141.76 (v102(constB23)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36220, 40614])).
% 219.20/141.76 tff(40616,plain,
% 219.20/141.76 (v104(constB24)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36223, 40615])).
% 219.20/141.76 tff(40617,plain,
% 219.20/141.76 (~((~v95(constB24)) | (~v104(constB24)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36254, 40616])).
% 219.20/141.76 tff(40618,plain,
% 219.20/141.76 (v94(constB24)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36257, 40617])).
% 219.20/141.76 tff(40619,plain,
% 219.20/141.76 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36265, 40618])).
% 219.20/141.76 tff(40620,plain,
% 219.20/141.76 (v84(constB24, 1) <=> v123(constB24, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36278, 40619])).
% 219.20/141.76 tff(40621,plain,
% 219.20/141.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B))))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40622,plain,
% 219.20/141.76 (((~v114(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v114(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B))))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40623,plain,
% 219.20/141.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[40622])).
% 219.20/141.76 tff(40624,plain,
% 219.20/141.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B))))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40623, 40621])).
% 219.20/141.76 tff(40625,plain,
% 219.20/141.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v114(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.20/141.76 inference(quant_inst,[status(thm)],[])).
% 219.20/141.76 tff(40626,plain,
% 219.20/141.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b010(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v114(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))),
% 219.20/141.76 inference(modus_ponens,[status(thm)],[40625, 40624])).
% 219.20/141.76 tff(40627,plain,
% 219.20/141.76 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40626, 2418, 40598])).
% 219.20/141.76 tff(40628,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 1) <=> b010(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 1) <=> b010(1)))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40629,plain,
% 219.20/141.76 (($false | $false | (v124(constB23, 1) <=> b010(1))) <=> (v124(constB23, 1) <=> b010(1))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40630,plain,
% 219.20/141.76 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b010(1))) <=> ($false | $false | (v124(constB23, 1) <=> b010(1)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[402, 401])).
% 219.20/141.76 tff(40631,plain,
% 219.20/141.76 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b010(1))) <=> (v124(constB23, 1) <=> b010(1))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40630, 40629])).
% 219.20/141.76 tff(40632,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 1) <=> b010(1)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[40631])).
% 219.20/141.76 tff(40633,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b010(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 1) <=> b010(1)))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40632, 40628])).
% 219.20/141.76 tff(40634,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b010(1)))),
% 219.20/141.76 inference(quant_inst,[status(thm)],[])).
% 219.20/141.76 tff(40635,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 1) <=> b010(1))),
% 219.20/141.76 inference(modus_ponens,[status(thm)],[40634, 40633])).
% 219.20/141.76 tff(40636,plain,
% 219.20/141.76 (v124(constB23, 1) <=> b010(1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40635, 40627])).
% 219.20/141.76 tff(40637,plain,
% 219.20/141.76 ((~(v124(constB23, 1) <=> b010(1))) | v124(constB23, 1) | (~b010(1))),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40638,plain,
% 219.20/141.76 ((~(v124(constB23, 1) <=> b010(1))) | v124(constB23, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40637, 2513])).
% 219.20/141.76 tff(40639,plain,
% 219.20/141.76 (v124(constB23, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40638, 40636])).
% 219.20/141.76 tff(40640,plain,
% 219.20/141.76 (v121(constB23, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36359, 40639])).
% 219.20/141.76 tff(40641,plain,
% 219.20/141.76 (v123(constB24, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36380, 40640])).
% 219.20/141.76 tff(40642,plain,
% 219.20/141.76 (v84(constB24, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36382, 40641, 40620])).
% 219.20/141.76 tff(40643,plain,
% 219.20/141.76 (v84(constB25, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36387, 40642])).
% 219.20/141.76 tff(40644,plain,
% 219.20/141.76 (v84(constB24, 0) <=> v123(constB24, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36290, 40619])).
% 219.20/141.76 tff(40645,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 0) <=> b010(0)))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40646,plain,
% 219.20/141.76 (($false | $false | (v124(constB23, 0) <=> b010(0))) <=> (v124(constB23, 0) <=> b010(0))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40647,plain,
% 219.20/141.76 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b010(0))) <=> ($false | $false | (v124(constB23, 0) <=> b010(0)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.76 tff(40648,plain,
% 219.20/141.76 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b010(0))) <=> (v124(constB23, 0) <=> b010(0))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40647, 40646])).
% 219.20/141.76 tff(40649,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 0) <=> b010(0)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[40648])).
% 219.20/141.76 tff(40650,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 0) <=> b010(0)))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40649, 40645])).
% 219.20/141.76 tff(40651,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b010(0)))),
% 219.20/141.76 inference(quant_inst,[status(thm)],[])).
% 219.20/141.76 tff(40652,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 0) <=> b010(0))),
% 219.20/141.76 inference(modus_ponens,[status(thm)],[40651, 40650])).
% 219.20/141.76 tff(40653,plain,
% 219.20/141.76 (v124(constB23, 0) <=> b010(0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40652, 40627])).
% 219.20/141.76 tff(40654,plain,
% 219.20/141.76 ((~(v124(constB23, 0) <=> b010(0))) | (~v124(constB23, 0)) | b010(0)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40655,plain,
% 219.20/141.76 ((~(v124(constB23, 0) <=> b010(0))) | (~v124(constB23, 0))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40654, 2437])).
% 219.20/141.76 tff(40656,plain,
% 219.20/141.76 (~v124(constB23, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40655, 40653])).
% 219.20/141.76 tff(40657,plain,
% 219.20/141.76 ((~(v121(constB23, 0) <=> v124(constB23, 0))) | (~v121(constB23, 0)) | v124(constB23, 0)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40658,plain,
% 219.20/141.76 ((~v121(constB23, 0)) | v124(constB23, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40657, 36461])).
% 219.20/141.76 tff(40659,plain,
% 219.20/141.76 (~v121(constB23, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40658, 40656])).
% 219.20/141.76 tff(40660,plain,
% 219.20/141.76 ((~(v123(constB24, 0) <=> v121(constB23, 0))) | (~v123(constB24, 0)) | v121(constB23, 0)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40661,plain,
% 219.20/141.76 ((~v123(constB24, 0)) | v121(constB23, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40660, 36475])).
% 219.20/141.76 tff(40662,plain,
% 219.20/141.76 (~v123(constB24, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40661, 40659])).
% 219.20/141.76 tff(40663,plain,
% 219.20/141.76 ((~(v84(constB24, 0) <=> v123(constB24, 0))) | (~v84(constB24, 0)) | v123(constB24, 0)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40664,plain,
% 219.20/141.76 (~v84(constB24, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40663, 40662, 40644])).
% 219.20/141.76 tff(40665,plain,
% 219.20/141.76 (~v84(constB25, 0)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39644, 40664])).
% 219.20/141.76 tff(40666,plain,
% 219.20/141.76 (v108(constB25) | v119(constB25)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36756, 40665, 40643])).
% 219.20/141.76 tff(40667,plain,
% 219.20/141.76 (v107(constB25)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36618, 40666])).
% 219.20/141.76 tff(40668,plain,
% 219.20/141.76 (~((~v107(constB25)) | (~v120(constB25)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36615, 40667])).
% 219.20/141.76 tff(40669,plain,
% 219.20/141.76 (v106(constB25)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36607, 40668])).
% 219.20/141.76 tff(40670,plain,
% 219.20/141.76 (v105(constB25) | v106(constB25)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36604, 40669])).
% 219.20/141.76 tff(40671,plain,
% 219.20/141.76 (v102(constB25)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36602, 40670])).
% 219.20/141.76 tff(40672,plain,
% 219.20/141.76 (v104(constB26)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36599, 40671])).
% 219.20/141.76 tff(40673,plain,
% 219.20/141.76 (~((~v95(constB26)) | (~v104(constB26)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36596, 40672])).
% 219.20/141.76 tff(40674,plain,
% 219.20/141.76 (v94(constB26)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36565, 40673])).
% 219.20/141.76 tff(40675,plain,
% 219.20/141.76 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36562, 40674])).
% 219.20/141.76 tff(40676,plain,
% 219.20/141.76 (v84(constB26, 1) <=> v123(constB26, 1)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36999, 40675])).
% 219.20/141.76 tff(40677,assumption,((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)), introduced(assumption)).
% 219.20/141.76 tff(40678,plain,
% 219.20/141.76 (v84(constB26, 2) <=> v123(constB26, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36948, 40675])).
% 219.20/141.76 tff(40679,plain,
% 219.20/141.76 ((v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))) | v84(constB25, 0)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40680,plain,
% 219.20/141.76 (v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40679, 40665])).
% 219.20/141.76 tff(40681,plain,
% 219.20/141.76 ((~(v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))) | (~v116(constB25))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[30434, 40680])).
% 219.20/141.76 tff(40682,plain,
% 219.20/141.76 (~v116(constB25)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40681, 30431])).
% 219.20/141.76 tff(40683,plain,
% 219.20/141.76 (v84(constB24, 2) <=> v123(constB24, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36312, 40619])).
% 219.20/141.76 tff(40684,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 2) <=> b010(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 2) <=> b010(2)))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40685,plain,
% 219.20/141.76 (($false | $false | (v124(constB23, 2) <=> b010(2))) <=> (v124(constB23, 2) <=> b010(2))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40686,plain,
% 219.20/141.76 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b010(2))) <=> ($false | $false | (v124(constB23, 2) <=> b010(2)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[534, 533])).
% 219.20/141.76 tff(40687,plain,
% 219.20/141.76 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b010(2))) <=> (v124(constB23, 2) <=> b010(2))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40686, 40685])).
% 219.20/141.76 tff(40688,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 2) <=> b010(2)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[40687])).
% 219.20/141.76 tff(40689,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b010(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 2) <=> b010(2)))),
% 219.20/141.76 inference(transitivity,[status(thm)],[40688, 40684])).
% 219.20/141.76 tff(40690,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b010(2)))),
% 219.20/141.76 inference(quant_inst,[status(thm)],[])).
% 219.20/141.76 tff(40691,plain,
% 219.20/141.76 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b010(B)))) | (v124(constB23, 2) <=> b010(2))),
% 219.20/141.76 inference(modus_ponens,[status(thm)],[40690, 40689])).
% 219.20/141.76 tff(40692,plain,
% 219.20/141.76 (v124(constB23, 2) <=> b010(2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40691, 40627])).
% 219.20/141.76 tff(40693,plain,
% 219.20/141.76 ((~(v124(constB23, 2) <=> b010(2))) | (~v124(constB23, 2)) | b010(2)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40694,plain,
% 219.20/141.76 ((~(v124(constB23, 2) <=> b010(2))) | (~v124(constB23, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40693, 2485])).
% 219.20/141.76 tff(40695,plain,
% 219.20/141.76 (~v124(constB23, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40694, 40692])).
% 219.20/141.76 tff(40696,plain,
% 219.20/141.76 (~v121(constB23, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36414, 40695])).
% 219.20/141.76 tff(40697,plain,
% 219.20/141.76 (~v123(constB24, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36428, 40696])).
% 219.20/141.76 tff(40698,plain,
% 219.20/141.76 (~v84(constB24, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36430, 40697, 40683])).
% 219.20/141.76 tff(40699,plain,
% 219.20/141.76 (~v84(constB25, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36436, 40698])).
% 219.20/141.76 tff(40700,plain,
% 219.20/141.76 ((v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))) | v84(constB25, 2)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40701,plain,
% 219.20/141.76 (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40700, 40699])).
% 219.20/141.76 tff(40702,plain,
% 219.20/141.76 ((~(v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))) | (~v117(constB25))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[30483, 40701])).
% 219.20/141.76 tff(40703,plain,
% 219.20/141.76 (~v117(constB25)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40702, 30480])).
% 219.20/141.76 tff(40704,plain,
% 219.20/141.76 (v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[30104, 40643])).
% 219.20/141.76 tff(40705,plain,
% 219.20/141.76 (~v114(constB25)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[36766, 40704])).
% 219.20/141.76 tff(40706,plain,
% 219.20/141.76 (v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39108, 40699])).
% 219.20/141.76 tff(40707,plain,
% 219.20/141.76 (~v118(constB25)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[39113, 40706])).
% 219.20/141.76 tff(40708,plain,
% 219.20/141.76 ((v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)) | (~v84(constB25, 1))),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40709,plain,
% 219.20/141.76 (v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40708, 40643])).
% 219.20/141.76 tff(40710,plain,
% 219.20/141.76 ((~(v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))) | (~v113(constB25))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[30376, 40709])).
% 219.20/141.76 tff(40711,plain,
% 219.20/141.76 (~v113(constB25)),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40710, 30119])).
% 219.20/141.76 tff(40712,assumption,(~v113(constB25)), introduced(assumption)).
% 219.20/141.76 tff(40713,plain,
% 219.20/141.76 ((~(v124(constB25, 2) <=> b011(2))) | (~v124(constB25, 2)) | b011(2)),
% 219.20/141.76 inference(tautology,[status(thm)],[])).
% 219.20/141.76 tff(40714,plain,
% 219.20/141.76 (~(v124(constB25, 2) <=> b011(2))),
% 219.20/141.76 inference(unit_resolution,[status(thm)],[40713, 2569, 39650])).
% 219.20/141.76 tff(40715,assumption,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))), introduced(assumption)).
% 219.20/141.76 tff(40716,plain,
% 219.20/141.76 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 2) <=> b011(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 2) <=> b011(2)))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40717,plain,
% 219.20/141.76 (($false | $false | (v124(constB25, 2) <=> b011(2))) <=> (v124(constB25, 2) <=> b011(2))),
% 219.20/141.76 inference(rewrite,[status(thm)],[])).
% 219.20/141.76 tff(40718,plain,
% 219.20/141.76 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b011(2))) <=> ($false | $false | (v124(constB25, 2) <=> b011(2)))),
% 219.20/141.76 inference(monotonicity,[status(thm)],[534, 533])).
% 219.20/141.76 tff(40719,plain,
% 219.20/141.76 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b011(2))) <=> (v124(constB25, 2) <=> b011(2))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40718, 40717])).
% 219.20/141.77 tff(40720,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 2) <=> b011(2)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[40719])).
% 219.20/141.77 tff(40721,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b011(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 2) <=> b011(2)))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40720, 40716])).
% 219.20/141.77 tff(40722,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB25, 2) <=> b011(2)))),
% 219.20/141.77 inference(quant_inst,[status(thm)],[])).
% 219.20/141.77 tff(40723,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 2) <=> b011(2))),
% 219.20/141.77 inference(modus_ponens,[status(thm)],[40722, 40721])).
% 219.20/141.77 tff(40724,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40723, 40715, 40714])).
% 219.20/141.77 tff(40725,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (~v124(constB25, 2))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40726,plain,
% 219.20/141.77 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40725, 39650])).
% 219.20/141.77 tff(40727,plain,
% 219.20/141.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B))))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40728,plain,
% 219.20/141.77 (((~v115(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v115(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B))))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40729,plain,
% 219.20/141.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[40728])).
% 219.20/141.77 tff(40730,plain,
% 219.20/141.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B))))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40729, 40727])).
% 219.20/141.77 tff(40731,plain,
% 219.20/141.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v115(constB25)) | ![B: $int] : ((v124(constB25, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.20/141.77 inference(quant_inst,[status(thm)],[])).
% 219.20/141.77 tff(40732,plain,
% 219.20/141.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b011(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v115(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))),
% 219.20/141.77 inference(modus_ponens,[status(thm)],[40731, 40730])).
% 219.20/141.77 tff(40733,plain,
% 219.20/141.77 ((~v115(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40732, 2144])).
% 219.20/141.77 tff(40734,plain,
% 219.20/141.77 (~v115(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40733, 40726])).
% 219.20/141.77 tff(40735,assumption,(~v116(constB25)), introduced(assumption)).
% 219.20/141.77 tff(40736,assumption,(~v114(constB25)), introduced(assumption)).
% 219.20/141.77 tff(40737,plain,
% 219.20/141.77 (v117(constB25) | v115(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36866, 1807, 40736, 40735, 39370])).
% 219.20/141.77 tff(40738,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40737, 40734, 40712, 39085])).
% 219.20/141.77 tff(40739,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39660, 40738, 39652])).
% 219.20/141.77 tff(40740,plain,((~v124(constB25, 2)) | v113(constB25) | v117(constB25) | v114(constB25) | v116(constB25) | v118(constB25)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40741,plain,
% 219.20/141.77 (~v124(constB25, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40740, 40711, 40707, 40705, 40703, 40682])).
% 219.20/141.77 tff(40742,plain,
% 219.20/141.77 (~v121(constB25, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39549, 40741])).
% 219.20/141.77 tff(40743,plain,
% 219.20/141.77 (~v123(constB26, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39552, 40742])).
% 219.20/141.77 tff(40744,plain,
% 219.20/141.77 (~v84(constB26, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39554, 40743, 40678])).
% 219.20/141.77 tff(40745,plain,
% 219.20/141.77 ((~v84(constB27, 2)) | v84(constB26, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39607, 36994])).
% 219.20/141.77 tff(40746,plain,
% 219.20/141.77 (~v84(constB27, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40745, 40744])).
% 219.20/141.77 tff(40747,plain,
% 219.20/141.77 (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36742, 40665, 40699, 40643])).
% 219.20/141.77 tff(40748,plain,
% 219.20/141.77 ((~(v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))) | v115(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36744, 40747])).
% 219.20/141.77 tff(40749,plain,
% 219.20/141.77 (v115(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40748, 30390])).
% 219.20/141.77 tff(40750,assumption,(v115(constB25)), introduced(assumption)).
% 219.20/141.77 tff(40751,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))), introduced(assumption)).
% 219.20/141.77 tff(40752,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40732, 2144, 40751, 40750])).
% 219.20/141.77 tff(40753,plain,((~v115(constB25)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40754,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40753, 40749])).
% 219.20/141.77 tff(40755,plain,
% 219.20/141.77 ((~(v124(constB25, 0) <=> b011(0))) | v124(constB25, 0) | (~b011(0))),
% 219.20/141.77 inference(tautology,[status(thm)],[])).
% 219.20/141.77 tff(40756,plain,
% 219.20/141.77 (~(v124(constB25, 0) <=> b011(0))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40755, 2025, 36869])).
% 219.20/141.77 tff(40757,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 0) <=> b011(0)))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40758,plain,
% 219.20/141.77 (($false | $false | (v124(constB25, 0) <=> b011(0))) <=> (v124(constB25, 0) <=> b011(0))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40759,plain,
% 219.20/141.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b011(0))) <=> ($false | $false | (v124(constB25, 0) <=> b011(0)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.77 tff(40760,plain,
% 219.20/141.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b011(0))) <=> (v124(constB25, 0) <=> b011(0))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40759, 40758])).
% 219.20/141.77 tff(40761,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 0) <=> b011(0)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[40760])).
% 219.20/141.77 tff(40762,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 0) <=> b011(0)))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40761, 40757])).
% 219.20/141.77 tff(40763,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB25, 0) <=> b011(0)))),
% 219.20/141.77 inference(quant_inst,[status(thm)],[])).
% 219.20/141.77 tff(40764,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 0) <=> b011(0))),
% 219.20/141.77 inference(modus_ponens,[status(thm)],[40763, 40762])).
% 219.20/141.77 tff(40765,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40764, 40715, 40756])).
% 219.20/141.77 tff(40766,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | v124(constB25, 0)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40767,plain,
% 219.20/141.77 (v124(constB25, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40766, 40754])).
% 219.20/141.77 tff(40768,plain,
% 219.20/141.77 (v121(constB25, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39685, 40767])).
% 219.20/141.77 tff(40769,plain,
% 219.20/141.77 (v123(constB26, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36890, 40768])).
% 219.20/141.77 tff(40770,plain,
% 219.20/141.77 (v84(constB26, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39682, 40769])).
% 219.20/141.77 tff(40771,plain,
% 219.20/141.77 (v84(constB27, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30643, 40770])).
% 219.20/141.77 tff(40772,plain,
% 219.20/141.77 ((~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))) | (~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)),
% 219.20/141.77 inference(tautology,[status(thm)],[])).
% 219.20/141.77 tff(40773,plain,
% 219.20/141.77 (~v84(constB27, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40772, 40771, 40746, 40677])).
% 219.20/141.77 tff(40774,plain,
% 219.20/141.77 (~v84(constB26, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30607, 40773])).
% 219.20/141.77 tff(40775,plain,
% 219.20/141.77 (~v123(constB26, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[37859, 40774, 40676])).
% 219.20/141.77 tff(40776,plain,
% 219.20/141.77 (v123(constB26, 1) | (~v121(constB25, 1))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[37856, 37020])).
% 219.20/141.77 tff(40777,plain,
% 219.20/141.77 (~v121(constB25, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40776, 40775])).
% 219.20/141.77 tff(40778,plain,
% 219.20/141.77 (v121(constB25, 1) | (~v124(constB25, 1))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[37853, 37015])).
% 219.20/141.77 tff(40779,plain,
% 219.20/141.77 (~v124(constB25, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40778, 40777])).
% 219.20/141.77 tff(40780,plain,
% 219.20/141.77 ((~(v124(constB25, 1) <=> b011(1))) | v124(constB25, 1) | (~b011(1))),
% 219.20/141.77 inference(tautology,[status(thm)],[])).
% 219.20/141.77 tff(40781,plain,
% 219.20/141.77 (~(v124(constB25, 1) <=> b011(1))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40780, 2593, 40779])).
% 219.20/141.77 tff(40782,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 1) <=> b011(1)))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40783,plain,
% 219.20/141.77 (($false | $false | (v124(constB25, 1) <=> b011(1))) <=> (v124(constB25, 1) <=> b011(1))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40784,plain,
% 219.20/141.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b011(1))) <=> ($false | $false | (v124(constB25, 1) <=> b011(1)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[402, 401])).
% 219.20/141.77 tff(40785,plain,
% 219.20/141.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b011(1))) <=> (v124(constB25, 1) <=> b011(1))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40784, 40783])).
% 219.20/141.77 tff(40786,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 1) <=> b011(1)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[40785])).
% 219.20/141.77 tff(40787,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 1) <=> b011(1)))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40786, 40782])).
% 219.20/141.77 tff(40788,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB25, 1) <=> b011(1)))),
% 219.20/141.77 inference(quant_inst,[status(thm)],[])).
% 219.20/141.77 tff(40789,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b011(B)))) | (v124(constB25, 1) <=> b011(1))),
% 219.20/141.77 inference(modus_ponens,[status(thm)],[40788, 40787])).
% 219.20/141.77 tff(40790,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40789, 40754, 40781])).
% 219.20/141.77 tff(40791,plain,((~v114(constB23)) | (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40792,plain,
% 219.20/141.77 (~v114(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40791, 40597])).
% 219.20/141.77 tff(40793,plain,
% 219.20/141.77 ((~(v114(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))))) | (v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39257, 40792])).
% 219.20/141.77 tff(40794,plain,
% 219.20/141.77 (v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40793, 29755])).
% 219.20/141.77 tff(40795,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[27189, 27181])).
% 219.20/141.77 tff(40796,plain,
% 219.20/141.77 (~(v124(constB19, 1) <=> b110(1))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[27048, 1662, 27860])).
% 219.20/141.77 tff(40797,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[27046, 27011, 40796])).
% 219.20/141.77 tff(40798,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB19, B) <=> b110(B)))) | v124(constB19, 1)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40799,plain,
% 219.20/141.77 (v124(constB19, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40798, 40795])).
% 219.20/141.77 tff(40800,plain,
% 219.20/141.77 (v121(constB19, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[27055, 40799])).
% 219.20/141.77 tff(40801,plain,
% 219.20/141.77 (v123(constB20, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[27061, 40800])).
% 219.20/141.77 tff(40802,plain,
% 219.20/141.77 ((v84(constB20, 1) <=> v123(constB20, 1)) | (~v84(constB20, 1)) | (~v123(constB20, 1))),
% 219.20/141.77 inference(tautology,[status(thm)],[])).
% 219.20/141.77 tff(40803,plain,
% 219.20/141.77 (v84(constB20, 1) <=> v123(constB20, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40802, 40801, 26682])).
% 219.20/141.77 tff(40804,plain,
% 219.20/141.77 (v109(constB19) | v118(constB19)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40562, 27181])).
% 219.20/141.77 tff(40805,plain,
% 219.20/141.77 (v108(constB19)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26369, 40804])).
% 219.20/141.77 tff(40806,plain,
% 219.20/141.77 (v108(constB19) | v119(constB19)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26371, 40805])).
% 219.20/141.77 tff(40807,plain,
% 219.20/141.77 (v107(constB19)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26378, 40806])).
% 219.20/141.77 tff(40808,plain,
% 219.20/141.77 (~((~v107(constB19)) | (~v120(constB19)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26386, 40807])).
% 219.20/141.77 tff(40809,plain,
% 219.20/141.77 (v106(constB19)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26391, 40808])).
% 219.20/141.77 tff(40810,plain,
% 219.20/141.77 (v105(constB19) | v106(constB19)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26393, 40809])).
% 219.20/141.77 tff(40811,plain,
% 219.20/141.77 (v102(constB19)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26398, 40810])).
% 219.20/141.77 tff(40812,plain,
% 219.20/141.77 (v104(constB20)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26405, 40811])).
% 219.20/141.77 tff(40813,plain,
% 219.20/141.77 (~((~v95(constB20)) | (~v104(constB20)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26436, 40812])).
% 219.20/141.77 tff(40814,plain,
% 219.20/141.77 (v94(constB20)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26443, 40813])).
% 219.20/141.77 tff(40815,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26451, 40814])).
% 219.20/141.77 tff(40816,plain,
% 219.20/141.77 (v84(constB20, 2) <=> v123(constB20, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26995, 40815])).
% 219.20/141.77 tff(40817,plain,
% 219.20/141.77 (v84(constB20, 0) <=> v123(constB20, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[27007, 40815])).
% 219.20/141.77 tff(40818,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[27178, 40817, 40816, 25806, 40795, 40803])).
% 219.20/141.77 tff(40819,plain,((~v118(constB19)) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))) | (~v84(constB20, 1))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40820,plain,
% 219.20/141.77 (~v118(constB19)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40819, 40512, 40794])).
% 219.20/141.77 tff(40821,plain,
% 219.20/141.77 (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[27229, 40820, 40594, 40593, 40591, 40589, 40517, 40514])).
% 219.20/141.77 tff(40822,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[26814, 40821, 40513])).
% 219.20/141.77 tff(40823,plain,(v102(constB23) | (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))) | (~(v108(constB18) | v119(constB18))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB12, B) <=> v123(constB12, B)))) | v116(constB27)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40824,plain,
% 219.20/141.77 (v102(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40823, 21477, 24230, 22538, 39090, 38718])).
% 219.20/141.77 tff(40825,plain,
% 219.20/141.77 (v104(constB24)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36223, 40824])).
% 219.20/141.77 tff(40826,plain,
% 219.20/141.77 (~((~v95(constB24)) | (~v104(constB24)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36254, 40825])).
% 219.20/141.77 tff(40827,plain,
% 219.20/141.77 (v94(constB24)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36257, 40826])).
% 219.20/141.77 tff(40828,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36265, 40827])).
% 219.20/141.77 tff(40829,plain,
% 219.20/141.77 (v84(constB24, 1) <=> v123(constB24, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36278, 40828])).
% 219.20/141.77 tff(40830,assumption,(v118(constB23)), introduced(assumption)).
% 219.20/141.77 tff(40831,plain,
% 219.20/141.77 (v109(constB23) | v118(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39106, 40830])).
% 219.20/141.77 tff(40832,plain,
% 219.20/141.77 ((~(v108(constB23) <=> (v109(constB23) | v118(constB23)))) | v108(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36200, 40831])).
% 219.20/141.77 tff(40833,plain,
% 219.20/141.77 (v108(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40832, 29745])).
% 219.20/141.77 tff(40834,plain,
% 219.20/141.77 (v108(constB23) | v119(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36202, 40833])).
% 219.20/141.77 tff(40835,plain,
% 219.20/141.77 (v107(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36204, 40834, 29743])).
% 219.20/141.77 tff(40836,plain,
% 219.20/141.77 (~((~v107(constB23)) | (~v120(constB23)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36212, 40835])).
% 219.20/141.77 tff(40837,plain,
% 219.20/141.77 (v106(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36215, 40836])).
% 219.20/141.77 tff(40838,plain,
% 219.20/141.77 (v105(constB23) | v106(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36217, 40837])).
% 219.20/141.77 tff(40839,plain,
% 219.20/141.77 (v102(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36220, 40838])).
% 219.20/141.77 tff(40840,plain,
% 219.20/141.77 (v104(constB24)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36223, 40839])).
% 219.20/141.77 tff(40841,plain,
% 219.20/141.77 (~((~v95(constB24)) | (~v104(constB24)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36254, 40840])).
% 219.20/141.77 tff(40842,plain,
% 219.20/141.77 (v94(constB24)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36257, 40841])).
% 219.20/141.77 tff(40843,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v123(constB24, B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36265, 40842])).
% 219.20/141.77 tff(40844,plain,
% 219.20/141.77 (v84(constB24, 0) <=> v123(constB24, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36290, 40843])).
% 219.20/141.77 tff(40845,plain,
% 219.20/141.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B))))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40846,plain,
% 219.20/141.77 (((~v118(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v118(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B))))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40847,plain,
% 219.20/141.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[40846])).
% 219.20/141.77 tff(40848,plain,
% 219.20/141.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B))))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40847, 40845])).
% 219.20/141.77 tff(40849,plain,
% 219.20/141.77 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v118(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.20/141.77 inference(quant_inst,[status(thm)],[])).
% 219.20/141.77 tff(40850,plain,
% 219.20/141.77 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b110(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v118(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))),
% 219.20/141.77 inference(modus_ponens,[status(thm)],[40849, 40848])).
% 219.20/141.77 tff(40851,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40850, 1977, 40830])).
% 219.20/141.77 tff(40852,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 0) <=> b110(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 0) <=> b110(0)))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40853,plain,
% 219.20/141.77 (($false | $false | (v124(constB23, 0) <=> b110(0))) <=> (v124(constB23, 0) <=> b110(0))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40854,plain,
% 219.20/141.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b110(0))) <=> ($false | $false | (v124(constB23, 0) <=> b110(0)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.77 tff(40855,plain,
% 219.20/141.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b110(0))) <=> (v124(constB23, 0) <=> b110(0))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40854, 40853])).
% 219.20/141.77 tff(40856,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 0) <=> b110(0)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[40855])).
% 219.20/141.77 tff(40857,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b110(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 0) <=> b110(0)))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40856, 40852])).
% 219.20/141.77 tff(40858,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b110(0)))),
% 219.20/141.77 inference(quant_inst,[status(thm)],[])).
% 219.20/141.77 tff(40859,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 0) <=> b110(0))),
% 219.20/141.77 inference(modus_ponens,[status(thm)],[40858, 40857])).
% 219.20/141.77 tff(40860,plain,
% 219.20/141.77 (v124(constB23, 0) <=> b110(0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40859, 40851])).
% 219.20/141.77 tff(40861,plain,
% 219.20/141.77 ((~(v124(constB23, 0) <=> b110(0))) | (~v124(constB23, 0)) | b110(0)),
% 219.20/141.77 inference(tautology,[status(thm)],[])).
% 219.20/141.77 tff(40862,plain,
% 219.20/141.77 ((~(v124(constB23, 0) <=> b110(0))) | (~v124(constB23, 0))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40861, 3186])).
% 219.20/141.77 tff(40863,plain,
% 219.20/141.77 (~v124(constB23, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40862, 40860])).
% 219.20/141.77 tff(40864,plain,
% 219.20/141.77 ((~(v121(constB23, 0) <=> v124(constB23, 0))) | (~v121(constB23, 0))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40657, 40863])).
% 219.20/141.77 tff(40865,plain,
% 219.20/141.77 (~v121(constB23, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40864, 37706])).
% 219.20/141.77 tff(40866,plain,
% 219.20/141.77 ((~(v123(constB24, 0) <=> v121(constB23, 0))) | (~v123(constB24, 0))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40660, 40865])).
% 219.20/141.77 tff(40867,plain,
% 219.20/141.77 (~v123(constB24, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40866, 37705])).
% 219.20/141.77 tff(40868,plain,
% 219.20/141.77 (~v84(constB24, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40663, 40867, 40844])).
% 219.20/141.77 tff(40869,plain,
% 219.20/141.77 (~v84(constB25, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39644, 40868])).
% 219.20/141.77 tff(40870,plain,
% 219.20/141.77 (v84(constB24, 1) <=> v123(constB24, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36278, 40843])).
% 219.20/141.77 tff(40871,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 1) <=> b110(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 1) <=> b110(1)))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40872,plain,
% 219.20/141.77 (($false | $false | (v124(constB23, 1) <=> b110(1))) <=> (v124(constB23, 1) <=> b110(1))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40873,plain,
% 219.20/141.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b110(1))) <=> ($false | $false | (v124(constB23, 1) <=> b110(1)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[402, 401])).
% 219.20/141.77 tff(40874,plain,
% 219.20/141.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b110(1))) <=> (v124(constB23, 1) <=> b110(1))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40873, 40872])).
% 219.20/141.77 tff(40875,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 1) <=> b110(1)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[40874])).
% 219.20/141.77 tff(40876,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b110(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 1) <=> b110(1)))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40875, 40871])).
% 219.20/141.77 tff(40877,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b110(1)))),
% 219.20/141.77 inference(quant_inst,[status(thm)],[])).
% 219.20/141.77 tff(40878,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 1) <=> b110(1))),
% 219.20/141.77 inference(modus_ponens,[status(thm)],[40877, 40876])).
% 219.20/141.77 tff(40879,plain,
% 219.20/141.77 (v124(constB23, 1) <=> b110(1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40878, 40851])).
% 219.20/141.77 tff(40880,plain,
% 219.20/141.77 ((~(v124(constB23, 1) <=> b110(1))) | v124(constB23, 1) | (~b110(1))),
% 219.20/141.77 inference(tautology,[status(thm)],[])).
% 219.20/141.77 tff(40881,plain,
% 219.20/141.77 ((~(v124(constB23, 1) <=> b110(1))) | v124(constB23, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40880, 1662])).
% 219.20/141.77 tff(40882,plain,
% 219.20/141.77 (v124(constB23, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40881, 40879])).
% 219.20/141.77 tff(40883,plain,
% 219.20/141.77 ((~(v121(constB23, 1) <=> v124(constB23, 1))) | v121(constB23, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36358, 40882])).
% 219.20/141.77 tff(40884,plain,
% 219.20/141.77 (v121(constB23, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40883, 37756])).
% 219.20/141.77 tff(40885,plain,
% 219.20/141.77 (v123(constB24, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36380, 40884])).
% 219.20/141.77 tff(40886,plain,
% 219.20/141.77 (v84(constB24, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36382, 40885, 40870])).
% 219.20/141.77 tff(40887,plain,
% 219.20/141.77 ((~(v84(constB25, 1) <=> v84(constB24, 1))) | v84(constB25, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30101, 40886])).
% 219.20/141.77 tff(40888,plain,
% 219.20/141.77 (v84(constB25, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40887, 29741])).
% 219.20/141.77 tff(40889,plain,
% 219.20/141.77 (v108(constB25) | v119(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36756, 40888, 40869])).
% 219.20/141.77 tff(40890,plain,
% 219.20/141.77 (v107(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36618, 40889])).
% 219.20/141.77 tff(40891,plain,
% 219.20/141.77 (~((~v107(constB25)) | (~v120(constB25)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36615, 40890])).
% 219.20/141.77 tff(40892,plain,
% 219.20/141.77 (v106(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36607, 40891])).
% 219.20/141.77 tff(40893,plain,
% 219.20/141.77 (v105(constB25) | v106(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36604, 40892])).
% 219.20/141.77 tff(40894,plain,
% 219.20/141.77 (v102(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36602, 40893])).
% 219.20/141.77 tff(40895,plain,
% 219.20/141.77 (v104(constB26)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36599, 40894])).
% 219.20/141.77 tff(40896,plain,
% 219.20/141.77 (~((~v95(constB26)) | (~v104(constB26)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36596, 40895])).
% 219.20/141.77 tff(40897,plain,
% 219.20/141.77 (v94(constB26)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36565, 40896])).
% 219.20/141.77 tff(40898,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36562, 40897])).
% 219.20/141.77 tff(40899,plain,
% 219.20/141.77 (v84(constB26, 0) <=> v123(constB26, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36552, 40898])).
% 219.20/141.77 tff(40900,plain,
% 219.20/141.77 (v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40708, 40888])).
% 219.20/141.77 tff(40901,plain,
% 219.20/141.77 (~v113(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30376, 40900, 30119])).
% 219.20/141.77 tff(40902,plain,
% 219.20/141.77 (v84(constB24, 2) <=> v123(constB24, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36312, 40843])).
% 219.20/141.77 tff(40903,plain,
% 219.20/141.77 (v121(constB23, 2) <=> v124(constB23, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36410, 36347])).
% 219.20/141.77 tff(40904,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 2) <=> b110(2))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 2) <=> b110(2)))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40905,plain,
% 219.20/141.77 (($false | $false | (v124(constB23, 2) <=> b110(2))) <=> (v124(constB23, 2) <=> b110(2))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40906,plain,
% 219.20/141.77 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b110(2))) <=> ($false | $false | (v124(constB23, 2) <=> b110(2)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[534, 533])).
% 219.20/141.77 tff(40907,plain,
% 219.20/141.77 (($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b110(2))) <=> (v124(constB23, 2) <=> b110(2))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40906, 40905])).
% 219.20/141.77 tff(40908,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 2) <=> b110(2)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[40907])).
% 219.20/141.77 tff(40909,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b110(2)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 2) <=> b110(2)))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40908, 40904])).
% 219.20/141.77 tff(40910,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | ($greatereq(2, 3) | (~$greatereq(2, 0)) | (v124(constB23, 2) <=> b110(2)))),
% 219.20/141.77 inference(quant_inst,[status(thm)],[])).
% 219.20/141.77 tff(40911,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b110(B)))) | (v124(constB23, 2) <=> b110(2))),
% 219.20/141.77 inference(modus_ponens,[status(thm)],[40910, 40909])).
% 219.20/141.77 tff(40912,plain,
% 219.20/141.77 (v124(constB23, 2) <=> b110(2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40911, 40851])).
% 219.20/141.77 tff(40913,plain,
% 219.20/141.77 ((~(v124(constB23, 2) <=> b110(2))) | v124(constB23, 2) | (~b110(2))),
% 219.20/141.77 inference(tautology,[status(thm)],[])).
% 219.20/141.77 tff(40914,plain,
% 219.20/141.77 ((~(v124(constB23, 2) <=> b110(2))) | v124(constB23, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40913, 1598])).
% 219.20/141.77 tff(40915,plain,
% 219.20/141.77 (v124(constB23, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40914, 40912])).
% 219.20/141.77 tff(40916,plain,
% 219.20/141.77 ((~(v121(constB23, 2) <=> v124(constB23, 2))) | v121(constB23, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[37745, 40915])).
% 219.20/141.77 tff(40917,plain,
% 219.20/141.77 (v121(constB23, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40916, 40903])).
% 219.20/141.77 tff(40918,plain,
% 219.20/141.77 (v123(constB24, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[37749, 40917])).
% 219.20/141.77 tff(40919,plain,
% 219.20/141.77 (v84(constB24, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[37751, 40918, 40902])).
% 219.20/141.77 tff(40920,plain,
% 219.20/141.77 ((~(v84(constB25, 2) <=> v84(constB24, 2))) | v84(constB25, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30412, 40919])).
% 219.20/141.77 tff(40921,plain,
% 219.20/141.77 (v84(constB25, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40920, 30399])).
% 219.20/141.77 tff(40922,plain,
% 219.20/141.77 (v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30415, 40921])).
% 219.20/141.77 tff(40923,plain,
% 219.20/141.77 (~v115(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30417, 40922, 30390])).
% 219.20/141.77 tff(40924,plain,
% 219.20/141.77 (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30481, 40888])).
% 219.20/141.77 tff(40925,plain,
% 219.20/141.77 (~v117(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30483, 40924, 30480])).
% 219.20/141.77 tff(40926,plain,
% 219.20/141.77 ((v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))) | v84(constB25, 0)),
% 219.20/141.77 inference(tautology,[status(thm)],[])).
% 219.20/141.77 tff(40927,plain,
% 219.20/141.77 (v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40926, 40869])).
% 219.20/141.77 tff(40928,plain,
% 219.20/141.77 ((~(v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))) | (~v118(constB25))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30466, 40927])).
% 219.20/141.77 tff(40929,plain,
% 219.20/141.77 (~v118(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40928, 30458])).
% 219.20/141.77 tff(40930,plain,
% 219.20/141.77 (v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40679, 40869])).
% 219.20/141.77 tff(40931,plain,
% 219.20/141.77 ((~(v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))) | (~v116(constB25))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30434, 40930])).
% 219.20/141.77 tff(40932,plain,
% 219.20/141.77 (~v116(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40931, 30431])).
% 219.20/141.77 tff(40933,plain,
% 219.20/141.77 (v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39559, 40869])).
% 219.20/141.77 tff(40934,plain,
% 219.20/141.77 ((~(v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))))) | (~v114(constB25))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30115, 40933])).
% 219.20/141.77 tff(40935,plain,
% 219.20/141.77 (~v114(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40934, 30113])).
% 219.20/141.77 tff(40936,plain,
% 219.20/141.77 (v117(constB25) | v115(constB25) | v113(constB25) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36866, 1807, 40935, 40932, 40929])).
% 219.20/141.77 tff(40937,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB25, B) <=> b001(B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40936, 40925, 40923, 40901])).
% 219.20/141.77 tff(40938,plain,
% 219.20/141.77 (v124(constB25, 0) <=> b001(0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36880, 40937])).
% 219.20/141.77 tff(40939,plain,
% 219.20/141.77 (v124(constB25, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39618, 40938])).
% 219.20/141.77 tff(40940,plain,
% 219.20/141.77 ((~(v121(constB25, 0) <=> v124(constB25, 0))) | v121(constB25, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36892, 40939])).
% 219.20/141.77 tff(40941,plain,
% 219.20/141.77 (v121(constB25, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40940, 37795])).
% 219.20/141.77 tff(40942,plain,
% 219.20/141.77 ((~(v123(constB26, 0) <=> v121(constB25, 0))) | v123(constB26, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36889, 40941])).
% 219.20/141.77 tff(40943,plain,
% 219.20/141.77 (v123(constB26, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40942, 39611])).
% 219.20/141.77 tff(40944,plain,
% 219.20/141.77 ((~(v84(constB26, 0) <=> v123(constB26, 0))) | v84(constB26, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[38783, 40943])).
% 219.20/141.77 tff(40945,plain,
% 219.20/141.77 (v84(constB26, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40944, 40899])).
% 219.20/141.77 tff(40946,plain,
% 219.20/141.77 (v84(constB27, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30643, 40945])).
% 219.20/141.77 tff(40947,plain,
% 219.20/141.77 (v84(constB26, 1) <=> v123(constB26, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36846, 40898])).
% 219.20/141.77 tff(40948,plain,
% 219.20/141.77 (v124(constB25, 1) <=> b001(1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39582, 40937])).
% 219.20/141.77 tff(40949,plain,
% 219.20/141.77 (~v124(constB25, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39602, 40948])).
% 219.20/141.77 tff(40950,plain,
% 219.20/141.77 ((~(v121(constB25, 1) <=> v124(constB25, 1))) | (~v121(constB25, 1))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36822, 40949])).
% 219.20/141.77 tff(40951,plain,
% 219.20/141.77 (~v121(constB25, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40950, 36800])).
% 219.20/141.77 tff(40952,plain,
% 219.20/141.77 ((~(v123(constB26, 1) <=> v121(constB25, 1))) | (~v123(constB26, 1))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36852, 40951])).
% 219.20/141.77 tff(40953,plain,
% 219.20/141.77 (~v123(constB26, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40952, 36791])).
% 219.20/141.77 tff(40954,plain,
% 219.20/141.77 ((~(v84(constB26, 1) <=> v123(constB26, 1))) | (~v84(constB26, 1))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36849, 40953])).
% 219.20/141.77 tff(40955,plain,
% 219.20/141.77 (~v84(constB26, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40954, 40947])).
% 219.20/141.77 tff(40956,plain,
% 219.20/141.77 (~v84(constB27, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[37025, 40955])).
% 219.20/141.77 tff(40957,plain,
% 219.20/141.77 (~v124(constB25, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40740, 40925, 40929, 40935, 40932, 40901])).
% 219.20/141.77 tff(40958,plain,
% 219.20/141.77 (~v121(constB25, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39549, 40957])).
% 219.20/141.77 tff(40959,plain,
% 219.20/141.77 (~v123(constB26, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39552, 40958])).
% 219.20/141.77 tff(40960,assumption,(~v123(constB26, 2)), introduced(assumption)).
% 219.20/141.77 tff(40961,assumption,(~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2)))), introduced(assumption)).
% 219.20/141.77 tff(40962,plain,
% 219.20/141.77 ((v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))) | v84(constB27, 2)),
% 219.20/141.77 inference(tautology,[status(thm)],[])).
% 219.20/141.77 tff(40963,plain,
% 219.20/141.77 (v84(constB27, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40962, 40961])).
% 219.20/141.77 tff(40964,plain,
% 219.20/141.77 ((~(v84(constB27, 2) <=> v84(constB26, 2))) | v84(constB26, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39607, 40963])).
% 219.20/141.77 tff(40965,plain,
% 219.20/141.77 (v84(constB26, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40964, 30744])).
% 219.20/141.77 tff(40966,plain,
% 219.20/141.77 (~(v84(constB26, 2) <=> v123(constB26, 2))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39554, 40965, 40960])).
% 219.20/141.77 tff(40967,plain,
% 219.20/141.77 (~v84(constB27, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30661, 40961])).
% 219.20/141.77 tff(40968,plain,
% 219.20/141.77 (~v84(constB26, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[30607, 40967])).
% 219.20/141.77 tff(40969,plain,
% 219.20/141.77 (v102(constB25)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36724, 40968])).
% 219.20/141.77 tff(40970,plain,
% 219.20/141.77 (v104(constB26)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36599, 40969])).
% 219.20/141.77 tff(40971,plain,
% 219.20/141.77 (~((~v95(constB26)) | (~v104(constB26)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36596, 40970])).
% 219.20/141.77 tff(40972,plain,
% 219.20/141.77 (v94(constB26)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36565, 40971])).
% 219.20/141.77 tff(40973,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36562, 40972])).
% 219.20/141.77 tff(40974,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36946, 40973, 40966])).
% 219.20/141.77 tff(40975,plain,((v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))) | v123(constB26, 2)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40976,plain,
% 219.20/141.77 (v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40975, 40959])).
% 219.20/141.77 tff(40977,plain,
% 219.20/141.77 (~v84(constB27, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[35269, 40956, 40976, 40946])).
% 219.20/141.77 tff(40978,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[35267, 40977, 40956, 35266, 40946])).
% 219.20/141.77 tff(40979,plain,((~v118(constB23)) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40980,plain,
% 219.20/141.77 (~v118(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40979, 35266])).
% 219.20/141.77 tff(40981,plain,
% 219.20/141.77 (v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39435, 40980])).
% 219.20/141.77 tff(40982,plain,
% 219.20/141.77 (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40424, 21475, 40981, 39090, 24230, 38719])).
% 219.20/141.77 tff(40983,assumption,(~(v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))))), introduced(assumption)).
% 219.20/141.77 tff(40984,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[29963, 521, 40983])).
% 219.20/141.77 tff(40985,plain,(v116(constB23) <=> (~((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40986,plain,
% 219.20/141.77 (v116(constB23) | ((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39337, 40985])).
% 219.20/141.77 tff(40987,plain,
% 219.20/141.77 (v116(constB23)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40986, 40982])).
% 219.20/141.77 tff(40988,assumption,(v116(constB23)), introduced(assumption)).
% 219.20/141.77 tff(40989,assumption,(~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))), introduced(assumption)).
% 219.20/141.77 tff(40990,plain,
% 219.20/141.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B))))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40991,plain,
% 219.20/141.77 (((~v116(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0)))) <=> ((~v116(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B))))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(40992,plain,
% 219.20/141.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[40991])).
% 219.20/141.77 tff(40993,plain,
% 219.20/141.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B))))),
% 219.20/141.77 inference(transitivity,[status(thm)],[40992, 40990])).
% 219.20/141.77 tff(40994,plain,
% 219.20/141.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | ((~v116(constB23)) | ![B: $int] : ((v124(constB23, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))),
% 219.20/141.77 inference(quant_inst,[status(thm)],[])).
% 219.20/141.77 tff(40995,plain,
% 219.20/141.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | ![B: $int] : ((v124(VarCurr, B) <=> b100(B)) | $greatereq(B, 3) | (~$greatereq(B, 0))))) | (~v116(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))),
% 219.20/141.77 inference(modus_ponens,[status(thm)],[40994, 40993])).
% 219.20/141.77 tff(40996,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40995, 2230, 40989, 40988])).
% 219.20/141.77 tff(40997,plain,((~v116(constB23)) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(40998,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40997, 40987])).
% 219.20/141.77 tff(40999,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | (v124(constB23, 1) <=> b100(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | (v124(constB23, 1) <=> b100(1)))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(41000,plain,
% 219.20/141.77 (($false | $false | (v124(constB23, 1) <=> b100(1))) <=> (v124(constB23, 1) <=> b100(1))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(41001,plain,
% 219.20/141.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b100(1))) <=> ($false | $false | (v124(constB23, 1) <=> b100(1)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[402, 401])).
% 219.20/141.77 tff(41002,plain,
% 219.20/141.77 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b100(1))) <=> (v124(constB23, 1) <=> b100(1))),
% 219.20/141.77 inference(transitivity,[status(thm)],[41001, 41000])).
% 219.20/141.77 tff(41003,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | (v124(constB23, 1) <=> b100(1)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[41002])).
% 219.20/141.77 tff(41004,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b100(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | (v124(constB23, 1) <=> b100(1)))),
% 219.20/141.77 inference(transitivity,[status(thm)],[41003, 40999])).
% 219.20/141.77 tff(41005,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB23, 1) <=> b100(1)))),
% 219.20/141.77 inference(quant_inst,[status(thm)],[])).
% 219.20/141.77 tff(41006,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | (v124(constB23, 1) <=> b100(1))),
% 219.20/141.77 inference(modus_ponens,[status(thm)],[41005, 41004])).
% 219.20/141.77 tff(41007,plain,
% 219.20/141.77 (v124(constB23, 1) <=> b100(1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[41006, 40998])).
% 219.20/141.77 tff(41008,plain,
% 219.20/141.77 ((~(v124(constB23, 1) <=> b100(1))) | (~v124(constB23, 1)) | b100(1)),
% 219.20/141.77 inference(tautology,[status(thm)],[])).
% 219.20/141.77 tff(41009,plain,
% 219.20/141.77 ((~(v124(constB23, 1) <=> b100(1))) | (~v124(constB23, 1))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[41008, 2274])).
% 219.20/141.77 tff(41010,plain,
% 219.20/141.77 (~v124(constB23, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[41009, 41007])).
% 219.20/141.77 tff(41011,plain,
% 219.20/141.77 ((~v121(constB23, 1)) | v124(constB23, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[37769, 36357])).
% 219.20/141.77 tff(41012,plain,
% 219.20/141.77 (~v121(constB23, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[41011, 41010])).
% 219.20/141.77 tff(41013,plain,
% 219.20/141.77 (~v123(constB24, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[37773, 41012])).
% 219.20/141.77 tff(41014,plain,
% 219.20/141.77 (~v84(constB24, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[37775, 41013, 40829])).
% 219.20/141.77 tff(41015,plain,
% 219.20/141.77 (~v84(constB25, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39544, 41014])).
% 219.20/141.77 tff(41016,plain,
% 219.20/141.77 (v84(constB24, 0) <=> v123(constB24, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[36290, 40828])).
% 219.20/141.77 tff(41017,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | (v124(constB23, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | (v124(constB23, 0) <=> b100(0)))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(41018,plain,
% 219.20/141.77 (($false | $false | (v124(constB23, 0) <=> b100(0))) <=> (v124(constB23, 0) <=> b100(0))),
% 219.20/141.77 inference(rewrite,[status(thm)],[])).
% 219.20/141.77 tff(41019,plain,
% 219.20/141.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b100(0))) <=> ($false | $false | (v124(constB23, 0) <=> b100(0)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.77 tff(41020,plain,
% 219.20/141.77 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b100(0))) <=> (v124(constB23, 0) <=> b100(0))),
% 219.20/141.77 inference(transitivity,[status(thm)],[41019, 41018])).
% 219.20/141.77 tff(41021,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | (v124(constB23, 0) <=> b100(0)))),
% 219.20/141.77 inference(monotonicity,[status(thm)],[41020])).
% 219.20/141.77 tff(41022,plain,
% 219.20/141.77 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | (v124(constB23, 0) <=> b100(0)))),
% 219.20/141.77 inference(transitivity,[status(thm)],[41021, 41017])).
% 219.20/141.77 tff(41023,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB23, 0) <=> b100(0)))),
% 219.20/141.77 inference(quant_inst,[status(thm)],[])).
% 219.20/141.77 tff(41024,plain,
% 219.20/141.77 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB23, B) <=> b100(B)))) | (v124(constB23, 0) <=> b100(0))),
% 219.20/141.77 inference(modus_ponens,[status(thm)],[41023, 41022])).
% 219.20/141.77 tff(41025,plain,
% 219.20/141.77 (v124(constB23, 0) <=> b100(0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[41024, 40998])).
% 219.20/141.77 tff(41026,plain,
% 219.20/141.77 ((~(v124(constB23, 0) <=> b100(0))) | (~v124(constB23, 0)) | b100(0)),
% 219.20/141.77 inference(tautology,[status(thm)],[])).
% 219.20/141.77 tff(41027,plain,
% 219.20/141.77 ((~(v124(constB23, 0) <=> b100(0))) | (~v124(constB23, 0))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[41026, 3674])).
% 219.20/141.77 tff(41028,plain,
% 219.20/141.77 (~v124(constB23, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[41027, 41025])).
% 219.20/141.77 tff(41029,plain,
% 219.20/141.77 (~v121(constB23, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40658, 41028])).
% 219.20/141.77 tff(41030,plain,
% 219.20/141.77 (~v123(constB24, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40661, 41029])).
% 219.20/141.77 tff(41031,plain,
% 219.20/141.77 (~v84(constB24, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[40663, 41030, 41016])).
% 219.20/141.77 tff(41032,plain,
% 219.20/141.77 (~v84(constB25, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39644, 41031])).
% 219.20/141.77 tff(41033,plain,
% 219.20/141.77 ($false),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[39676, 41032, 41015, 39085, 35266])).
% 219.20/141.77 tff(41034,plain,(v84(constB19, 2) | v117(constB25) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))) | (~(v108(constB18) | v119(constB18))) | v116(constB27) | (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.77 tff(41035,plain,
% 219.20/141.77 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[41034, 21638, 38719, 35266, 39085, 21475, 38718])).
% 219.20/141.77 tff(41036,plain,
% 219.20/141.77 (~v94(constB16)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24184, 41035])).
% 219.20/141.77 tff(41037,assumption,(~v94(constB16)), introduced(assumption)).
% 219.20/141.77 tff(41038,plain,
% 219.20/141.77 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB16, B) <=> v84(constB15, B)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[22177, 41037])).
% 219.20/141.77 tff(41039,plain,
% 219.20/141.77 ((~v95(constB16)) | (~v104(constB16))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24176, 41037])).
% 219.20/141.77 tff(41040,plain,
% 219.20/141.77 (~v104(constB16)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24173, 41039])).
% 219.20/141.77 tff(41041,plain,
% 219.20/141.77 (~v102(constB15)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24142, 41040])).
% 219.20/141.77 tff(41042,plain,
% 219.20/141.77 (~(v105(constB15) | v106(constB15))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24139, 41041])).
% 219.20/141.77 tff(41043,plain,
% 219.20/141.77 (~v106(constB15)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24136, 41042])).
% 219.20/141.77 tff(41044,plain,
% 219.20/141.77 ((~v107(constB15)) | (~v120(constB15))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24134, 41043])).
% 219.20/141.77 tff(41045,plain,
% 219.20/141.77 (~v107(constB15)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24131, 41044])).
% 219.20/141.77 tff(41046,plain,
% 219.20/141.77 ((~(v107(constB15) <=> (v108(constB15) | v119(constB15)))) | (~(v108(constB15) | v119(constB15)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24123, 41045])).
% 219.20/141.77 tff(41047,plain,
% 219.20/141.77 (~(v108(constB15) | v119(constB15))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[41046, 21654])).
% 219.20/141.77 tff(41048,plain,
% 219.20/141.77 (v84(constB15, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24626, 41047])).
% 219.20/141.77 tff(41049,plain,
% 219.20/141.77 (v84(constB16, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[22258, 41048, 41038])).
% 219.20/141.77 tff(41050,plain,
% 219.20/141.77 (~v118(constB15)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[27615, 41049])).
% 219.20/141.77 tff(41051,plain,
% 219.20/141.77 (v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[27621, 41050])).
% 219.20/141.77 tff(41052,plain,
% 219.20/141.77 (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[28025, 41048])).
% 219.20/141.77 tff(41053,plain,
% 219.20/141.77 (~v114(constB15)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24743, 41049])).
% 219.20/141.77 tff(41054,plain,
% 219.20/141.77 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[23514, 41053])).
% 219.20/141.77 tff(41055,plain,
% 219.20/141.77 (v84(constB15, 1)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[27628, 41054, 41052, 41051])).
% 219.20/141.77 tff(41056,plain,
% 219.20/141.77 (~v108(constB15)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24121, 41047])).
% 219.20/141.77 tff(41057,plain,
% 219.20/141.77 ((~(v108(constB15) <=> (v109(constB15) | v118(constB15)))) | (~(v109(constB15) | v118(constB15)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24119, 41056])).
% 219.20/141.77 tff(41058,plain,
% 219.20/141.77 (~(v109(constB15) | v118(constB15))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[41057, 21979])).
% 219.20/141.77 tff(41059,plain,
% 219.20/141.77 (~v109(constB15)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24117, 41058])).
% 219.20/141.77 tff(41060,plain,
% 219.20/141.77 ((~(v109(constB15) <=> (v110(constB15) | v117(constB15)))) | (~(v110(constB15) | v117(constB15)))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24115, 41059])).
% 219.20/141.77 tff(41061,plain,
% 219.20/141.77 (~(v110(constB15) | v117(constB15))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[41060, 21981])).
% 219.20/141.77 tff(41062,plain,
% 219.20/141.77 (~v110(constB15)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24113, 41061])).
% 219.20/141.77 tff(41063,plain,
% 219.20/141.77 (~(v111(constB15) | v116(constB15))),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24111, 41062])).
% 219.20/141.77 tff(41064,plain,
% 219.20/141.77 (v84(constB15, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[24108, 41063, 41055])).
% 219.20/141.77 tff(41065,plain,
% 219.20/141.77 (~v113(constB13)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[38939, 41053, 23009])).
% 219.20/141.77 tff(41066,plain,
% 219.20/141.77 (v84(constB14, 0)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[23501, 41048])).
% 219.20/141.77 tff(41067,plain,
% 219.20/141.77 (v84(constB14, 2)),
% 219.20/141.77 inference(unit_resolution,[status(thm)],[25245, 41064])).
% 219.20/141.78 tff(41068,plain,
% 219.20/141.78 (v84(constB13, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23495, 22893, 23418])).
% 219.20/141.78 tff(41069,plain,
% 219.20/141.78 (v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[21842, 41068])).
% 219.20/141.78 tff(41070,plain,
% 219.20/141.78 (~v114(constB13)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[21849, 41069])).
% 219.20/141.78 tff(41071,plain,
% 219.20/141.78 (~(v112(constB13) | v115(constB13))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[38961, 41070, 23512, 23187])).
% 219.20/141.78 tff(41072,plain,
% 219.20/141.78 (v84(constB13, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[22934, 41071, 22893])).
% 219.20/141.78 tff(41073,plain,
% 219.20/141.78 (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[22900, 41068, 22893, 41072])).
% 219.20/141.78 tff(41074,plain,
% 219.20/141.78 ((~(v116(constB13) <=> (~((~v84(constB13, 1)) | v84(constB13, 2) | (~v84(constB13, 0)))))) | v116(constB13)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[22898, 41073])).
% 219.20/141.78 tff(41075,plain,
% 219.20/141.78 (v116(constB13)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41074, 21789])).
% 219.20/141.78 tff(41076,plain,
% 219.20/141.78 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23811, 2230, 41075])).
% 219.20/141.78 tff(41077,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 0) <=> b100(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 0) <=> b100(0)))),
% 219.20/141.78 inference(rewrite,[status(thm)],[])).
% 219.20/141.78 tff(41078,plain,
% 219.20/141.78 (($false | $false | (v124(constB13, 0) <=> b100(0))) <=> (v124(constB13, 0) <=> b100(0))),
% 219.20/141.78 inference(rewrite,[status(thm)],[])).
% 219.20/141.78 tff(41079,plain,
% 219.20/141.78 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b100(0))) <=> ($false | $false | (v124(constB13, 0) <=> b100(0)))),
% 219.20/141.78 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.78 tff(41080,plain,
% 219.20/141.78 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b100(0))) <=> (v124(constB13, 0) <=> b100(0))),
% 219.20/141.78 inference(transitivity,[status(thm)],[41079, 41078])).
% 219.20/141.78 tff(41081,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 0) <=> b100(0)))),
% 219.20/141.78 inference(monotonicity,[status(thm)],[41080])).
% 219.20/141.78 tff(41082,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b100(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 0) <=> b100(0)))),
% 219.20/141.78 inference(transitivity,[status(thm)],[41081, 41077])).
% 219.20/141.78 tff(41083,plain,
% 219.20/141.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB13, 0) <=> b100(0)))),
% 219.20/141.78 inference(quant_inst,[status(thm)],[])).
% 219.20/141.78 tff(41084,plain,
% 219.20/141.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b100(B)))) | (v124(constB13, 0) <=> b100(0))),
% 219.20/141.78 inference(modus_ponens,[status(thm)],[41083, 41082])).
% 219.20/141.78 tff(41085,plain,
% 219.20/141.78 (v124(constB13, 0) <=> b100(0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41084, 41076])).
% 219.20/141.78 tff(41086,plain,
% 219.20/141.78 ((~(v124(constB13, 0) <=> b100(0))) | (~v124(constB13, 0)) | b100(0)),
% 219.20/141.78 inference(tautology,[status(thm)],[])).
% 219.20/141.78 tff(41087,plain,
% 219.20/141.78 ((~(v124(constB13, 0) <=> b100(0))) | (~v124(constB13, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41086, 3674])).
% 219.20/141.78 tff(41088,plain,
% 219.20/141.78 (~v124(constB13, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41087, 41085])).
% 219.20/141.78 tff(41089,plain,
% 219.20/141.78 ((~(v121(constB13, 0) <=> v124(constB13, 0))) | (~v121(constB13, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23487, 41088])).
% 219.20/141.78 tff(41090,plain,
% 219.20/141.78 (~v121(constB13, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41089, 23427])).
% 219.20/141.78 tff(41091,plain,
% 219.20/141.78 (v84(constB14, 0) <=> v123(constB14, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23463, 38998])).
% 219.20/141.78 tff(41092,plain,
% 219.20/141.78 (v123(constB14, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23466, 41091])).
% 219.20/141.78 tff(41093,plain,
% 219.20/141.78 ((~(v123(constB14, 0) <=> v121(constB13, 0))) | v121(constB13, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23468, 41092])).
% 219.20/141.78 tff(41094,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41093, 41090, 23436])).
% 219.20/141.78 tff(41095,plain,(v84(constB13, 2) | (~v84(constB14, 0)) | v114(constB15) | (~v84(constB14, 2))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41096,plain,
% 219.20/141.78 (v84(constB13, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41095, 41067, 41066, 41053])).
% 219.20/141.78 tff(41097,plain,
% 219.20/141.78 (~v115(constB13)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[21824, 23844])).
% 219.20/141.78 tff(41098,plain,
% 219.20/141.78 (v84(constB13, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[40161, 41051, 24619, 41097, 21989])).
% 219.20/141.78 tff(41099,plain,
% 219.20/141.78 (v84(constB13, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[40194, 41098, 41066, 21989])).
% 219.20/141.78 tff(41100,plain,
% 219.20/141.78 ((~v84(constB13, 2)) | v84(constB13, 1) | (~v84(constB13, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[21895, 41099])).
% 219.20/141.78 tff(41101,plain,
% 219.20/141.78 ((~v84(constB13, 2)) | v84(constB13, 1) | v84(constB13, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23793, 41098])).
% 219.20/141.78 tff(41102,plain,
% 219.20/141.78 (~v117(constB13)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[21880, 41101, 21877])).
% 219.20/141.78 tff(41103,assumption,(~v113(constB13)), introduced(assumption)).
% 219.20/141.78 tff(41104,plain,
% 219.20/141.78 (v118(constB13) | v117(constB13)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23644, 1807, 23612, 23855, 41103, 41097, 27482])).
% 219.20/141.78 tff(41105,plain,
% 219.20/141.78 (v118(constB13)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41104, 41102])).
% 219.20/141.78 tff(41106,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[21897, 41105, 41100, 21894])).
% 219.20/141.78 tff(41107,plain,(v94(constB16) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B))) | v113(constB13) | (~v84(constB13, 2)) | (~v84(constB15, 2))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41108,plain,
% 219.20/141.78 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41107, 41096, 41037, 41065, 41064])).
% 219.20/141.78 tff(41109,plain,
% 219.20/141.78 (v84(constB14, 2) <=> v123(constB14, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23019, 23009])).
% 219.20/141.78 tff(41110,plain,
% 219.20/141.78 (v123(constB14, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23205, 41067, 41109])).
% 219.20/141.78 tff(41111,plain,
% 219.20/141.78 (v121(constB13, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23208, 41110])).
% 219.20/141.78 tff(41112,plain,
% 219.20/141.78 (v124(constB13, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23211, 41111])).
% 219.20/141.78 tff(41113,assumption,(v124(constB13, 2)), introduced(assumption)).
% 219.20/141.78 tff(41114,plain,
% 219.20/141.78 (~(v124(constB13, 2) <=> b001(2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[38924, 1831, 41113])).
% 219.20/141.78 tff(41115,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[38922, 23600, 41114])).
% 219.20/141.78 tff(41116,plain,((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB13, B) <=> b001(B)))) | (~v124(constB13, 2))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41117,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41116, 41112, 41108])).
% 219.20/141.78 tff(41118,plain,(v94(constB16) | (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41119,plain,
% 219.20/141.78 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41118, 41036])).
% 219.20/141.78 tff(41120,plain,
% 219.20/141.78 (~v94(constB14)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[23006, 41119])).
% 219.20/141.78 tff(41121,plain,
% 219.20/141.78 ((~v95(constB14)) | (~v104(constB14))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[22998, 41120])).
% 219.20/141.78 tff(41122,plain,
% 219.20/141.78 (~v104(constB14)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[22995, 41121])).
% 219.20/141.78 tff(41123,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[22964, 41122, 39084])).
% 219.20/141.78 tff(41124,plain,(v84(constB19, 2) | (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))) | v117(constB25) | v116(constB27)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41125,plain,
% 219.20/141.78 (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41124, 38831, 21475, 38719, 38718])).
% 219.20/141.78 tff(41126,assumption,(~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2))), introduced(assumption)).
% 219.20/141.78 tff(41127,plain,
% 219.20/141.78 (~v84(constB27, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30702, 41126])).
% 219.20/141.78 tff(41128,plain,
% 219.20/141.78 (~(v84(constB28, 1) <=> v84(constB27, 1))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[36146, 41127, 36142])).
% 219.20/141.78 tff(41129,plain,
% 219.20/141.78 (~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30857, 41128])).
% 219.20/141.78 tff(41130,plain,
% 219.20/141.78 (v94(constB28)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30844, 41129])).
% 219.20/141.78 tff(41131,plain,
% 219.20/141.78 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35101, 41130])).
% 219.20/141.78 tff(41132,plain,
% 219.20/141.78 (v84(constB28, 0) <=> v123(constB28, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35110, 41131])).
% 219.20/141.78 tff(41133,plain,
% 219.20/141.78 (v123(constB28, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[37079, 41132])).
% 219.20/141.78 tff(41134,plain,
% 219.20/141.78 ((~(v123(constB28, 0) <=> v121(constB27, 0))) | v121(constB27, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[37081, 41133])).
% 219.20/141.78 tff(41135,plain,
% 219.20/141.78 (v121(constB27, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41134, 35021])).
% 219.20/141.78 tff(41136,plain,
% 219.20/141.78 ((~(v121(constB27, 0) <=> v124(constB27, 0))) | v124(constB27, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[37051, 41135])).
% 219.20/141.78 tff(41137,plain,
% 219.20/141.78 (v124(constB27, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41136, 35012])).
% 219.20/141.78 tff(41138,plain,
% 219.20/141.78 ((~(v124(constB27, 0) <=> b010(0))) | (~v124(constB27, 0)) | b010(0)),
% 219.20/141.78 inference(tautology,[status(thm)],[])).
% 219.20/141.78 tff(41139,plain,
% 219.20/141.78 (~(v124(constB27, 0) <=> b010(0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41138, 2437, 41137])).
% 219.20/141.78 tff(41140,plain,
% 219.20/141.78 (v114(constB27)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[39530, 41126])).
% 219.20/141.78 tff(41141,plain,
% 219.20/141.78 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35195, 2418, 41140])).
% 219.20/141.78 tff(41142,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | (v124(constB27, 0) <=> b010(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | (v124(constB27, 0) <=> b010(0)))),
% 219.20/141.78 inference(rewrite,[status(thm)],[])).
% 219.20/141.78 tff(41143,plain,
% 219.20/141.78 (($false | $false | (v124(constB27, 0) <=> b010(0))) <=> (v124(constB27, 0) <=> b010(0))),
% 219.20/141.78 inference(rewrite,[status(thm)],[])).
% 219.20/141.78 tff(41144,plain,
% 219.20/141.78 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b010(0))) <=> ($false | $false | (v124(constB27, 0) <=> b010(0)))),
% 219.20/141.78 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.78 tff(41145,plain,
% 219.20/141.78 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b010(0))) <=> (v124(constB27, 0) <=> b010(0))),
% 219.20/141.78 inference(transitivity,[status(thm)],[41144, 41143])).
% 219.20/141.78 tff(41146,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | (v124(constB27, 0) <=> b010(0)))),
% 219.20/141.78 inference(monotonicity,[status(thm)],[41145])).
% 219.20/141.78 tff(41147,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b010(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | (v124(constB27, 0) <=> b010(0)))),
% 219.20/141.78 inference(transitivity,[status(thm)],[41146, 41142])).
% 219.20/141.78 tff(41148,plain,
% 219.20/141.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB27, 0) <=> b010(0)))),
% 219.20/141.78 inference(quant_inst,[status(thm)],[])).
% 219.20/141.78 tff(41149,plain,
% 219.20/141.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB27, B) <=> b010(B)))) | (v124(constB27, 0) <=> b010(0))),
% 219.20/141.78 inference(modus_ponens,[status(thm)],[41148, 41147])).
% 219.20/141.78 tff(41150,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41149, 41141, 41139])).
% 219.20/141.78 tff(41151,plain,((v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)) | (~v84(constB28, 0)) | (~v84(constB28, 1))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41152,plain,
% 219.20/141.78 (~v84(constB28, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41151, 41125, 38717])).
% 219.20/141.78 tff(41153,plain,
% 219.20/141.78 (~v84(constB29, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[37087, 41152])).
% 219.20/141.78 tff(41154,plain,
% 219.20/141.78 (~v116(constB31)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[38014, 2230, 38008])).
% 219.20/141.78 tff(41155,plain,
% 219.20/141.78 ((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[34335, 41154, 31205])).
% 219.20/141.78 tff(41156,plain,
% 219.20/141.78 (v84(constB29, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[34958, 34908, 34939])).
% 219.20/141.78 tff(41157,plain,
% 219.20/141.78 (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[37336, 41156, 35428])).
% 219.20/141.78 tff(41158,plain,
% 219.20/141.78 (v116(constB29)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[37338, 41157, 30951])).
% 219.20/141.78 tff(41159,plain,
% 219.20/141.78 (v111(constB29) | v116(constB29)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[37340, 41158])).
% 219.20/141.78 tff(41160,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[34920, 34937, 41159, 29642])).
% 219.20/141.78 tff(41161,plain,((v108(constB29) | v119(constB29)) | v84(constB29, 2) | (~v84(constB29, 1))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41162,plain,
% 219.20/141.78 (v108(constB29) | v119(constB29)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41161, 35428, 34939])).
% 219.20/141.78 tff(41163,plain,
% 219.20/141.78 ((~(v107(constB29) <=> (v108(constB29) | v119(constB29)))) | v107(constB29)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35458, 41162])).
% 219.20/141.78 tff(41164,plain,
% 219.20/141.78 (v107(constB29)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41163, 29636])).
% 219.20/141.78 tff(41165,plain,
% 219.20/141.78 (~((~v107(constB29)) | (~v120(constB29)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35467, 41164])).
% 219.20/141.78 tff(41166,plain,
% 219.20/141.78 (v106(constB29)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35470, 41165])).
% 219.20/141.78 tff(41167,plain,
% 219.20/141.78 (v105(constB29) | v106(constB29)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35472, 41166])).
% 219.20/141.78 tff(41168,plain,
% 219.20/141.78 (v102(constB29)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35475, 41167])).
% 219.20/141.78 tff(41169,plain,
% 219.20/141.78 (v104(constB30)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35478, 41168])).
% 219.20/141.78 tff(41170,plain,
% 219.20/141.78 (~((~v95(constB30)) | (~v104(constB30)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35509, 41169])).
% 219.20/141.78 tff(41171,plain,
% 219.20/141.78 (v94(constB30)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35512, 41170])).
% 219.20/141.78 tff(41172,plain,
% 219.20/141.78 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35520, 41171])).
% 219.20/141.78 tff(41173,plain,
% 219.20/141.78 (v84(constB30, 1) <=> v123(constB30, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35545, 41172])).
% 219.20/141.78 tff(41174,plain,
% 219.20/141.78 ((v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))) | v84(constB29, 2)),
% 219.20/141.78 inference(tautology,[status(thm)],[])).
% 219.20/141.78 tff(41175,plain,
% 219.20/141.78 (v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41174, 35428])).
% 219.20/141.78 tff(41176,plain,
% 219.20/141.78 (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[34950, 34926, 34939, 41175])).
% 219.20/141.78 tff(41177,plain,
% 219.20/141.78 (v115(constB29)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[34952, 41176, 30910])).
% 219.20/141.78 tff(41178,plain,
% 219.20/141.78 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[37298, 41177])).
% 219.20/141.78 tff(41179,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 1) <=> b011(1))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 1) <=> b011(1)))),
% 219.20/141.78 inference(rewrite,[status(thm)],[])).
% 219.20/141.78 tff(41180,plain,
% 219.20/141.78 (($false | $false | (v124(constB29, 1) <=> b011(1))) <=> (v124(constB29, 1) <=> b011(1))),
% 219.20/141.78 inference(rewrite,[status(thm)],[])).
% 219.20/141.78 tff(41181,plain,
% 219.20/141.78 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b011(1))) <=> ($false | $false | (v124(constB29, 1) <=> b011(1)))),
% 219.20/141.78 inference(monotonicity,[status(thm)],[402, 401])).
% 219.20/141.78 tff(41182,plain,
% 219.20/141.78 (($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b011(1))) <=> (v124(constB29, 1) <=> b011(1))),
% 219.20/141.78 inference(transitivity,[status(thm)],[41181, 41180])).
% 219.20/141.78 tff(41183,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 1) <=> b011(1)))),
% 219.20/141.78 inference(monotonicity,[status(thm)],[41182])).
% 219.20/141.78 tff(41184,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b011(1)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 1) <=> b011(1)))),
% 219.20/141.78 inference(transitivity,[status(thm)],[41183, 41179])).
% 219.20/141.78 tff(41185,plain,
% 219.20/141.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | ($greatereq(1, 3) | (~$greatereq(1, 0)) | (v124(constB29, 1) <=> b011(1)))),
% 219.20/141.78 inference(quant_inst,[status(thm)],[])).
% 219.20/141.78 tff(41186,plain,
% 219.20/141.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 1) <=> b011(1))),
% 219.20/141.78 inference(modus_ponens,[status(thm)],[41185, 41184])).
% 219.20/141.78 tff(41187,plain,
% 219.20/141.78 (v124(constB29, 1) <=> b011(1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41186, 41178])).
% 219.20/141.78 tff(41188,plain,
% 219.20/141.78 ((~(v124(constB29, 1) <=> b011(1))) | v124(constB29, 1) | (~b011(1))),
% 219.20/141.78 inference(tautology,[status(thm)],[])).
% 219.20/141.78 tff(41189,plain,
% 219.20/141.78 ((~(v124(constB29, 1) <=> b011(1))) | v124(constB29, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41188, 2593])).
% 219.20/141.78 tff(41190,plain,
% 219.20/141.78 (v124(constB29, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41189, 41187])).
% 219.20/141.78 tff(41191,plain,
% 219.20/141.78 ((~(v121(constB29, 1) <=> v124(constB29, 1))) | v121(constB29, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35974, 41190])).
% 219.20/141.78 tff(41192,plain,
% 219.20/141.78 (v121(constB29, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41191, 37249])).
% 219.20/141.78 tff(41193,plain,
% 219.20/141.78 (v123(constB30, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35978, 41192])).
% 219.20/141.78 tff(41194,plain,
% 219.20/141.78 (v84(constB30, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35981, 41193, 41173])).
% 219.20/141.78 tff(41195,plain,
% 219.20/141.78 (v84(constB31, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35983, 41194])).
% 219.20/141.78 tff(41196,plain,
% 219.20/141.78 (v84(constB30, 0) <=> v123(constB30, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35557, 41172])).
% 219.20/141.78 tff(41197,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 0) <=> b011(0))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 0) <=> b011(0)))),
% 219.20/141.78 inference(rewrite,[status(thm)],[])).
% 219.20/141.78 tff(41198,plain,
% 219.20/141.78 (($false | $false | (v124(constB29, 0) <=> b011(0))) <=> (v124(constB29, 0) <=> b011(0))),
% 219.20/141.78 inference(rewrite,[status(thm)],[])).
% 219.20/141.78 tff(41199,plain,
% 219.20/141.78 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b011(0))) <=> ($false | $false | (v124(constB29, 0) <=> b011(0)))),
% 219.20/141.78 inference(monotonicity,[status(thm)],[250, 249])).
% 219.20/141.78 tff(41200,plain,
% 219.20/141.78 (($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b011(0))) <=> (v124(constB29, 0) <=> b011(0))),
% 219.20/141.78 inference(transitivity,[status(thm)],[41199, 41198])).
% 219.20/141.78 tff(41201,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 0) <=> b011(0)))),
% 219.20/141.78 inference(monotonicity,[status(thm)],[41200])).
% 219.20/141.78 tff(41202,plain,
% 219.20/141.78 (((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b011(0)))) <=> ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 0) <=> b011(0)))),
% 219.20/141.78 inference(transitivity,[status(thm)],[41201, 41197])).
% 219.20/141.78 tff(41203,plain,
% 219.20/141.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | ($greatereq(0, 3) | (~$greatereq(0, 0)) | (v124(constB29, 0) <=> b011(0)))),
% 219.20/141.78 inference(quant_inst,[status(thm)],[])).
% 219.20/141.78 tff(41204,plain,
% 219.20/141.78 ((~![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b011(B)))) | (v124(constB29, 0) <=> b011(0))),
% 219.20/141.78 inference(modus_ponens,[status(thm)],[41203, 41202])).
% 219.20/141.78 tff(41205,plain,
% 219.20/141.78 (v124(constB29, 0) <=> b011(0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41204, 41178])).
% 219.20/141.78 tff(41206,plain,
% 219.20/141.78 ((~(v124(constB29, 0) <=> b011(0))) | v124(constB29, 0) | (~b011(0))),
% 219.20/141.78 inference(tautology,[status(thm)],[])).
% 219.20/141.78 tff(41207,plain,
% 219.20/141.78 ((~(v124(constB29, 0) <=> b011(0))) | v124(constB29, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41206, 2025])).
% 219.20/141.78 tff(41208,plain,
% 219.20/141.78 (v124(constB29, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41207, 41205])).
% 219.20/141.78 tff(41209,plain,
% 219.20/141.78 ((~(v121(constB29, 0) <=> v124(constB29, 0))) | v121(constB29, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35723, 41208])).
% 219.20/141.78 tff(41210,plain,
% 219.20/141.78 (v121(constB29, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41209, 35932])).
% 219.20/141.78 tff(41211,plain,
% 219.20/141.78 (v123(constB30, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35738, 41210])).
% 219.20/141.78 tff(41212,plain,
% 219.20/141.78 (v84(constB30, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35740, 41211, 41196])).
% 219.20/141.78 tff(41213,plain,
% 219.20/141.78 (v84(constB31, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35745, 41212])).
% 219.20/141.78 tff(41214,plain,
% 219.20/141.78 (~v84(constB30, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[37333, 34926, 35428, 34939])).
% 219.20/141.78 tff(41215,plain,
% 219.20/141.78 (~v84(constB31, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[35930, 41214])).
% 219.20/141.78 tff(41216,plain,
% 219.20/141.78 ((~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))) | (~v84(constB31, 1)) | (~v84(constB31, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[34338, 41215])).
% 219.20/141.78 tff(41217,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41216, 41213, 41195, 41155])).
% 219.20/141.78 tff(41218,plain,(v84(constB29, 0) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B))) | v84(constB29, 2) | (~v84(constB29, 1))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41219,plain,
% 219.20/141.78 (v84(constB29, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41218, 41153, 38008, 34939])).
% 219.20/141.78 tff(41220,plain,
% 219.20/141.78 (v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[37387, 41219])).
% 219.20/141.78 tff(41221,plain,
% 219.20/141.78 ((v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))) | v84(constB29, 0)),
% 219.20/141.78 inference(tautology,[status(thm)],[])).
% 219.20/141.78 tff(41222,plain,
% 219.20/141.78 (v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41221, 41153])).
% 219.20/141.78 tff(41223,assumption,(~(v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))))), introduced(assumption)).
% 219.20/141.78 tff(41224,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30950, 521, 41223])).
% 219.20/141.78 tff(41225,plain,(v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41226,plain,
% 219.20/141.78 ((~v116(constB29)) | (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30954, 41225])).
% 219.20/141.78 tff(41227,plain,
% 219.20/141.78 (~v116(constB29)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41226, 41222])).
% 219.20/141.78 tff(41228,assumption,(~v117(constB29)), introduced(assumption)).
% 219.20/141.78 tff(41229,plain,
% 219.20/141.78 (v115(constB29) | v116(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[37579, 1807, 37569, 41228, 38720, 37560])).
% 219.20/141.78 tff(41230,plain,
% 219.20/141.78 (v115(constB29)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41229, 41227, 38721])).
% 219.20/141.78 tff(41231,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30937, 41230, 41220, 30910])).
% 219.20/141.78 tff(41232,plain,(![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB29, B) <=> b001(B))) | v117(constB29) | v114(constB29) | ![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v124(constB31, B) <=> b100(B))) | (~v84(constB29, 1)) | v84(constB19, 2) | (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))) | v116(constB27)), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41233,plain,
% 219.20/141.78 (v84(constB19, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41232, 38716, 38715, 38058, 36138, 38045, 37964, 37158])).
% 219.20/141.78 tff(41234,plain,
% 219.20/141.78 (~(v109(constB18) | v118(constB18))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[21635, 30133])).
% 219.20/141.78 tff(41235,plain,
% 219.20/141.78 (~v109(constB18)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[21628, 41234])).
% 219.20/141.78 tff(41236,plain,
% 219.20/141.78 (v84(constB18, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[21626, 41235])).
% 219.20/141.78 tff(41237,plain,
% 219.20/141.78 (v84(constB18, 0) | (~v84(constB18, 1)) | v84(constB18, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[40530, 41236])).
% 219.20/141.78 tff(41238,plain,
% 219.20/141.78 ((~(v117(constB18) <=> (~(v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))))) | v117(constB18)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30161, 40548])).
% 219.20/141.78 tff(41239,plain,
% 219.20/141.78 (v117(constB18)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41238, 22557])).
% 219.20/141.78 tff(41240,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30159, 21549, 41239])).
% 219.20/141.78 tff(41241,plain,(v109(constB18) | (v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41242,plain,
% 219.20/141.78 (v84(constB18, 0) | v84(constB18, 1) | (~v84(constB18, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41241, 41235])).
% 219.20/141.78 tff(41243,plain,
% 219.20/141.78 (v119(constB18) | (v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30169, 40582])).
% 219.20/141.78 tff(41244,plain,
% 219.20/141.78 (v84(constB18, 0) | (~v84(constB18, 1)) | (~v84(constB18, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41243, 30168])).
% 219.20/141.78 tff(41245,plain,
% 219.20/141.78 (v84(constB18, 0) | v84(constB18, 1) | v84(constB18, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[40523, 41236])).
% 219.20/141.78 tff(41246,plain,
% 219.20/141.78 (v84(constB18, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[21618, 41245, 41244, 41242, 41237])).
% 219.20/141.78 tff(41247,plain,
% 219.20/141.78 (v84(constB19, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26810, 41246])).
% 219.20/141.78 tff(41248,plain,
% 219.20/141.78 (v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26814, 41247])).
% 219.20/141.78 tff(41249,plain,
% 219.20/141.78 ((~(v119(constB19) <=> (~(v84(constB19, 0) | (~v84(constB19, 1)) | (~v84(constB19, 2)))))) | (~v119(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27206, 41248])).
% 219.20/141.78 tff(41250,plain,
% 219.20/141.78 (~v119(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41249, 26702])).
% 219.20/141.78 tff(41251,plain,
% 219.20/141.78 (~v118(constB18)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30136, 41234])).
% 219.20/141.78 tff(41252,plain,
% 219.20/141.78 (v118(constB18) | (v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30138, 40575])).
% 219.20/141.78 tff(41253,plain,
% 219.20/141.78 (v84(constB18, 1) | (~v84(constB18, 2)) | (~v84(constB18, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41252, 41251])).
% 219.20/141.78 tff(41254,plain,
% 219.20/141.78 (v84(constB18, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30177, 41246, 41236, 41253])).
% 219.20/141.78 tff(41255,plain,
% 219.20/141.78 (v84(constB19, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26676, 41254])).
% 219.20/141.78 tff(41256,plain,
% 219.20/141.78 (v84(constB19, 1) | (~v84(constB19, 0)) | (~v84(constB19, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29765, 41255])).
% 219.20/141.78 tff(41257,plain,
% 219.20/141.78 (~v118(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26746, 41256])).
% 219.20/141.78 tff(41258,plain,
% 219.20/141.78 (v84(constB19, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[21526, 41236])).
% 219.20/141.78 tff(41259,plain,
% 219.20/141.78 (v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25415, 41258])).
% 219.20/141.78 tff(41260,plain,
% 219.20/141.78 ((~(v114(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 2) | (~v84(constB19, 0)))))) | (~v114(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25421, 41259])).
% 219.20/141.78 tff(41261,plain,
% 219.20/141.78 (~v114(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41260, 26766])).
% 219.20/141.78 tff(41262,plain,
% 219.20/141.78 (v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26772, 41258])).
% 219.20/141.78 tff(41263,plain,
% 219.20/141.78 ((~(v113(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 1) | v84(constB19, 2))))) | (~v113(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26774, 41262])).
% 219.20/141.78 tff(41264,plain,
% 219.20/141.78 (~v113(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41263, 26771])).
% 219.20/141.78 tff(41265,plain,
% 219.20/141.78 (~(v113(constB19) | v114(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27194, 41264, 41261])).
% 219.20/141.78 tff(41266,plain,
% 219.20/141.78 ((~(v112(constB19) <=> (v113(constB19) | v114(constB19)))) | (~v112(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27196, 41265])).
% 219.20/141.78 tff(41267,plain,
% 219.20/141.78 (~v112(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41266, 26855])).
% 219.20/141.78 tff(41268,plain,
% 219.20/141.78 (v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25401, 41258])).
% 219.20/141.78 tff(41269,plain,
% 219.20/141.78 (~v115(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25413, 41268])).
% 219.20/141.78 tff(41270,plain,
% 219.20/141.78 ((~(v112(constB19) | v115(constB19))) | v112(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27199, 41269])).
% 219.20/141.78 tff(41271,plain,
% 219.20/141.78 (~(v112(constB19) | v115(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41270, 41267])).
% 219.20/141.78 tff(41272,plain,
% 219.20/141.78 (~v111(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27202, 41271, 26850])).
% 219.20/141.78 tff(41273,plain,
% 219.20/141.78 (v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26757, 41258])).
% 219.20/141.78 tff(41274,plain,
% 219.20/141.78 ((~(v116(constB19) <=> (~(v84(constB19, 2) | (~v84(constB19, 0)) | (~v84(constB19, 1)))))) | (~v116(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26759, 41273])).
% 219.20/141.78 tff(41275,plain,
% 219.20/141.78 (~v116(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41274, 26756])).
% 219.20/141.78 tff(41276,plain,
% 219.20/141.78 ((~(v111(constB19) | v116(constB19))) | v111(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27226, 41275])).
% 219.20/141.78 tff(41277,plain,
% 219.20/141.78 (~(v111(constB19) | v116(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41276, 41272])).
% 219.20/141.78 tff(41278,plain,
% 219.20/141.78 (~v110(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27223, 41277, 26843])).
% 219.20/141.78 tff(41279,plain,
% 219.20/141.78 (v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29804, 41242])).
% 219.20/141.78 tff(41280,plain,
% 219.20/141.78 ((~(v117(constB19) <=> (~(v84(constB19, 1) | v84(constB19, 0) | (~v84(constB19, 2)))))) | (~v117(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26748, 41279])).
% 219.20/141.78 tff(41281,plain,
% 219.20/141.78 (~v117(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41280, 26348])).
% 219.20/141.78 tff(41282,plain,
% 219.20/141.78 ((~(v110(constB19) | v117(constB19))) | v110(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27220, 41281])).
% 219.20/141.78 tff(41283,plain,
% 219.20/141.78 (~(v110(constB19) | v117(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41282, 41278])).
% 219.20/141.78 tff(41284,plain,
% 219.20/141.78 (~v109(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27216, 41283, 26353])).
% 219.20/141.78 tff(41285,plain,
% 219.20/141.78 (~(v109(constB19) | v118(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27214, 41284, 41257])).
% 219.20/141.78 tff(41286,plain,
% 219.20/141.78 (~v108(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27212, 41285])).
% 219.20/141.78 tff(41287,plain,
% 219.20/141.78 (~(v108(constB19) | v119(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27209, 41286, 41250])).
% 219.20/141.78 tff(41288,plain,
% 219.20/141.78 (~v107(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26952, 41287])).
% 219.20/141.78 tff(41289,plain,
% 219.20/141.78 ((~v107(constB19)) | (~v120(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26949, 41288])).
% 219.20/141.78 tff(41290,plain,
% 219.20/141.78 (~v106(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26947, 41289])).
% 219.20/141.78 tff(41291,plain,
% 219.20/141.78 (~(v105(constB19) | v106(constB19))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26944, 41290])).
% 219.20/141.78 tff(41292,plain,
% 219.20/141.78 (~v102(constB19)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26914, 41291])).
% 219.20/141.78 tff(41293,plain,
% 219.20/141.78 (~v104(constB20)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26917, 41292])).
% 219.20/141.78 tff(41294,plain,
% 219.20/141.78 ((~v95(constB20)) | (~v104(constB20))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26919, 41293])).
% 219.20/141.78 tff(41295,plain,
% 219.20/141.78 (~v94(constB20)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26922, 41294])).
% 219.20/141.78 tff(41296,plain,
% 219.20/141.78 (v84(constB20, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26985, 41295])).
% 219.20/141.78 tff(41297,plain,
% 219.20/141.78 (v84(constB21, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26297, 41296])).
% 219.20/141.78 tff(41298,plain,
% 219.20/141.78 ((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27031, 41297])).
% 219.20/141.78 tff(41299,plain,
% 219.20/141.78 ((~(v116(constB21) <=> (~((~v84(constB21, 1)) | (~v84(constB21, 0)) | v84(constB21, 2))))) | (~v116(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27033, 41298])).
% 219.20/141.78 tff(41300,plain,
% 219.20/141.78 (~v116(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41299, 25568])).
% 219.20/141.78 tff(41301,plain,
% 219.20/141.78 (v84(constB21, 1) | (~v84(constB21, 0)) | v84(constB21, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[40488, 41297])).
% 219.20/141.78 tff(41302,plain,
% 219.20/141.78 (~v114(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[40299, 41301])).
% 219.20/141.78 tff(41303,plain,
% 219.20/141.78 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[39860, 41297])).
% 219.20/141.78 tff(41304,plain,
% 219.20/141.78 (~v113(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27087, 41303])).
% 219.20/141.78 tff(41305,plain,
% 219.20/141.78 (~(v113(constB21) | v114(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29850, 41304, 41302])).
% 219.20/141.78 tff(41306,plain,
% 219.20/141.78 ((~(v112(constB21) <=> (v113(constB21) | v114(constB21)))) | (~v112(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29852, 41305])).
% 219.20/141.78 tff(41307,plain,
% 219.20/141.78 (~v112(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41306, 26078])).
% 219.20/141.78 tff(41308,plain,
% 219.20/141.78 ((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26283, 41297])).
% 219.20/141.78 tff(41309,plain,
% 219.20/141.78 ((~(v115(constB21) <=> (~((~v84(constB21, 1)) | v84(constB21, 0) | v84(constB21, 2))))) | (~v115(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26280, 41308])).
% 219.20/141.78 tff(41310,plain,
% 219.20/141.78 (~v115(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41309, 25585])).
% 219.20/141.78 tff(41311,plain,
% 219.20/141.78 ((~(v112(constB21) | v115(constB21))) | v112(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29858, 41310])).
% 219.20/141.78 tff(41312,plain,
% 219.20/141.78 (~(v112(constB21) | v115(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41311, 41307])).
% 219.20/141.78 tff(41313,plain,
% 219.20/141.78 (~v111(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29861, 41312, 25587])).
% 219.20/141.78 tff(41314,plain,
% 219.20/141.78 (~(v111(constB21) | v116(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29871, 41313, 41300])).
% 219.20/141.78 tff(41315,plain,
% 219.20/141.78 (~v110(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29874, 41314, 25492])).
% 219.20/141.78 tff(41316,plain,
% 219.20/141.78 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <=> v84(constB19, B)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26930, 41295])).
% 219.20/141.78 tff(41317,plain,
% 219.20/141.78 (v84(constB20, 1) <=> v84(constB19, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29830, 41316])).
% 219.20/141.78 tff(41318,plain,
% 219.20/141.78 ((~(v84(constB20, 1) <=> v84(constB19, 1))) | v84(constB20, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29832, 41255])).
% 219.20/141.78 tff(41319,plain,
% 219.20/141.78 (v84(constB20, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41318, 41317])).
% 219.20/141.78 tff(41320,plain,
% 219.20/141.78 (v84(constB21, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27066, 41319])).
% 219.20/141.78 tff(41321,plain,
% 219.20/141.78 (v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27074, 41320])).
% 219.20/141.78 tff(41322,plain,
% 219.20/141.78 ((~(v117(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2)))))) | (~v117(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27076, 41321])).
% 219.20/141.78 tff(41323,plain,
% 219.20/141.78 (~v117(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41322, 27073])).
% 219.20/141.78 tff(41324,plain,
% 219.20/141.78 ((~(v110(constB21) | v117(constB21))) | v110(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29879, 41323])).
% 219.20/141.78 tff(41325,plain,
% 219.20/141.78 (~(v110(constB21) | v117(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41324, 41315])).
% 219.20/141.78 tff(41326,plain,
% 219.20/141.78 (~v109(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29882, 41325, 25605])).
% 219.20/141.78 tff(41327,plain,
% 219.20/141.78 (v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27068, 41320])).
% 219.20/141.78 tff(41328,plain,
% 219.20/141.78 ((~(v118(constB21) <=> (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))))) | (~v118(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27070, 41327])).
% 219.20/141.78 tff(41329,plain,
% 219.20/141.78 (~v118(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41328, 27037])).
% 219.20/141.78 tff(41330,plain,
% 219.20/141.78 ((~(v109(constB21) | v118(constB21))) | v109(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29887, 41329])).
% 219.20/141.78 tff(41331,plain,
% 219.20/141.78 (~(v109(constB21) | v118(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41330, 41326])).
% 219.20/141.78 tff(41332,plain,
% 219.20/141.78 (~v108(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29890, 41331, 25607])).
% 219.20/141.78 tff(41333,plain,
% 219.20/141.78 (v84(constB20, 0) <=> v84(constB19, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26939, 41316])).
% 219.20/141.78 tff(41334,plain,
% 219.20/141.78 ((~(v84(constB20, 0) <=> v84(constB19, 0))) | v84(constB20, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26911, 41247])).
% 219.20/141.78 tff(41335,plain,
% 219.20/141.78 (v84(constB20, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41334, 41333])).
% 219.20/141.78 tff(41336,plain,
% 219.20/141.78 ((~(v84(constB21, 0) <=> v84(constB20, 0))) | v84(constB21, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26829, 41335])).
% 219.20/141.78 tff(41337,plain,
% 219.20/141.78 (v84(constB21, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41336, 27101])).
% 219.20/141.78 tff(41338,plain,
% 219.20/141.78 ((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29892, 41337])).
% 219.20/141.78 tff(41339,plain,
% 219.20/141.78 (~v119(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29894, 41338, 27100])).
% 219.20/141.78 tff(41340,plain,
% 219.20/141.78 ((~(v108(constB21) | v119(constB21))) | v108(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29897, 41339])).
% 219.20/141.78 tff(41341,plain,
% 219.20/141.78 (~(v108(constB21) | v119(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41340, 41332])).
% 219.20/141.78 tff(41342,plain,
% 219.20/141.78 (~v107(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29900, 41341, 25609])).
% 219.20/141.78 tff(41343,plain,
% 219.20/141.78 ((~v107(constB21)) | (~v120(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29902, 41342])).
% 219.20/141.78 tff(41344,plain,
% 219.20/141.78 (~v106(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29905, 41343])).
% 219.20/141.78 tff(41345,plain,
% 219.20/141.78 (~(v105(constB21) | v106(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25502, 41344])).
% 219.20/141.78 tff(41346,plain,
% 219.20/141.78 (~v102(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25507, 41345])).
% 219.20/141.78 tff(41347,plain,
% 219.20/141.78 (~v104(constB22)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25517, 41346])).
% 219.20/141.78 tff(41348,plain,
% 219.20/141.78 ((~v95(constB22)) | (~v104(constB22))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25519, 41347])).
% 219.20/141.78 tff(41349,plain,
% 219.20/141.78 (~v94(constB22)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25526, 41348])).
% 219.20/141.78 tff(41350,plain,
% 219.20/141.78 (v84(constB22, 0) <=> v84(constB21, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30023, 26081])).
% 219.20/141.78 tff(41351,plain,
% 219.20/141.78 (~(v108(constB21) | v119(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25623, 26149, 25609])).
% 219.20/141.78 tff(41352,plain,
% 219.20/141.78 (~v119(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27149, 41351])).
% 219.20/141.78 tff(41353,plain,
% 219.20/141.78 ((~v84(constB21, 1)) | v84(constB21, 0) | (~v84(constB21, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27147, 41352, 27100])).
% 219.20/141.78 tff(41354,plain,
% 219.20/141.78 (~v108(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25626, 41351])).
% 219.20/141.78 tff(41355,plain,
% 219.20/141.78 (~(v109(constB21) | v118(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25628, 41354, 25607])).
% 219.20/141.78 tff(41356,plain,
% 219.20/141.78 (~v109(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25631, 41355])).
% 219.20/141.78 tff(41357,plain,
% 219.20/141.78 (~(v110(constB21) | v117(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25633, 41356, 25605])).
% 219.20/141.78 tff(41358,plain,
% 219.20/141.78 (~v117(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[39226, 41357])).
% 219.20/141.78 tff(41359,plain,
% 219.20/141.78 (v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25962, 41358, 27073])).
% 219.20/141.78 tff(41360,plain,
% 219.20/141.78 (~v110(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25636, 41357])).
% 219.20/141.78 tff(41361,plain,
% 219.20/141.78 (~(v111(constB21) | v116(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25601, 41360, 25492])).
% 219.20/141.78 tff(41362,plain,
% 219.20/141.78 (~v111(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25588, 41361])).
% 219.20/141.78 tff(41363,plain,
% 219.20/141.78 (~(v112(constB21) | v115(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25590, 41362, 25587])).
% 219.20/141.78 tff(41364,plain,
% 219.20/141.78 (~v112(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26090, 41363])).
% 219.20/141.78 tff(41365,plain,
% 219.20/141.78 (~(v113(constB21) | v114(constB21))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26087, 41364, 26078])).
% 219.20/141.78 tff(41366,plain,
% 219.20/141.78 (~v113(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26138, 41365])).
% 219.20/141.78 tff(41367,plain,
% 219.20/141.78 (v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25917, 41366])).
% 219.20/141.78 tff(41368,plain,
% 219.20/141.78 (~v118(constB21)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[39862, 41355])).
% 219.20/141.78 tff(41369,plain,
% 219.20/141.78 (v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25999, 41368, 27037])).
% 219.20/141.78 tff(41370,plain,
% 219.20/141.78 (v84(constB21, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26163, 26054, 26080])).
% 219.20/141.78 tff(41371,plain,
% 219.20/141.78 (v84(constB21, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26065, 26054, 26055, 26057])).
% 219.20/141.78 tff(41372,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[26067, 41371, 26054, 41370, 26056])).
% 219.20/141.78 tff(41373,plain,(v84(constB21, 1) | (~(v84(constB21, 1) | (~v84(constB21, 2)) | (~v84(constB21, 0)))) | v94(constB22) | (~(v84(constB21, 0) | v84(constB21, 1) | v84(constB21, 2))) | (~(v84(constB21, 1) | v84(constB21, 0) | (~v84(constB21, 2))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41374,plain,
% 219.20/141.78 (v84(constB21, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41373, 41369, 26080, 41367, 41359])).
% 219.20/141.78 tff(41375,plain,
% 219.20/141.78 (v84(constB21, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25599, 41374, 41361])).
% 219.20/141.78 tff(41376,plain,
% 219.20/141.78 (v84(constB21, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27144, 41375, 41374, 41353])).
% 219.20/141.78 tff(41377,plain,
% 219.20/141.78 ((~(v84(constB22, 0) <=> v84(constB21, 0))) | v84(constB22, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30025, 41376])).
% 219.20/141.78 tff(41378,plain,
% 219.20/141.78 (v84(constB22, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41377, 41350])).
% 219.20/141.78 tff(41379,plain,
% 219.20/141.78 (v84(constB23, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25804, 41378])).
% 219.20/141.78 tff(41380,plain,
% 219.20/141.78 ((~v84(constB23, 1)) | v84(constB23, 0) | (~v84(constB23, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30030, 41379])).
% 219.20/141.78 tff(41381,plain,
% 219.20/141.78 (~v119(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30032, 41380, 30014])).
% 219.20/141.78 tff(41382,plain,
% 219.20/141.78 (v84(constB22, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29914, 41374, 26082])).
% 219.20/141.78 tff(41383,plain,
% 219.20/141.78 (v84(constB23, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[27982, 41382])).
% 219.20/141.78 tff(41384,plain,
% 219.20/141.78 (v84(constB23, 1) | (~v84(constB23, 2)) | (~v84(constB23, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29998, 41383])).
% 219.20/141.78 tff(41385,plain,
% 219.20/141.78 (~v118(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30000, 41384, 29997])).
% 219.20/141.78 tff(41386,plain,
% 219.20/141.78 (v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29981, 41383])).
% 219.20/141.78 tff(41387,plain,
% 219.20/141.78 (~v117(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29983, 41386, 29980])).
% 219.20/141.78 tff(41388,plain,
% 219.20/141.78 ((~(v84(constB22, 2) <=> v84(constB21, 2))) | v84(constB22, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25559, 41375])).
% 219.20/141.78 tff(41389,plain,
% 219.20/141.78 (v84(constB22, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41388, 40386])).
% 219.20/141.78 tff(41390,plain,
% 219.20/141.78 (v84(constB23, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25489, 41389])).
% 219.20/141.78 tff(41391,plain,
% 219.20/141.78 ((~v84(constB23, 1)) | v84(constB23, 2) | (~v84(constB23, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[25475, 41390])).
% 219.20/141.78 tff(41392,plain,
% 219.20/141.78 (~v116(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29966, 41391, 29964])).
% 219.20/141.78 tff(41393,plain,
% 219.20/141.78 (v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29925, 41383])).
% 219.20/141.78 tff(41394,assumption,(~(v113(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2))))), introduced(assumption)).
% 219.20/141.78 tff(41395,plain,
% 219.20/141.78 ($false),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29923, 597, 41394])).
% 219.20/141.78 tff(41396,plain,(v113(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.78 tff(41397,plain,
% 219.20/141.78 ((~v113(constB23)) | (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29927, 41396])).
% 219.20/141.78 tff(41398,plain,
% 219.20/141.78 (~v113(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41397, 41393])).
% 219.20/141.78 tff(41399,plain,
% 219.20/141.78 ((~(v114(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))))) | (~v114(constB23))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29920, 25806])).
% 219.20/141.78 tff(41400,plain,
% 219.20/141.78 (~v114(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41399, 29755])).
% 219.20/141.78 tff(41401,plain,
% 219.20/141.78 ((~(v113(constB23) | v114(constB23))) | v113(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29930, 41400])).
% 219.20/141.78 tff(41402,plain,
% 219.20/141.78 (~(v113(constB23) | v114(constB23))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41401, 41398])).
% 219.20/141.78 tff(41403,plain,
% 219.20/141.78 (~v112(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29932, 41402, 29753])).
% 219.20/141.78 tff(41404,plain,
% 219.20/141.78 ((~v84(constB23, 1)) | v84(constB23, 2) | v84(constB23, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29948, 41390])).
% 219.20/141.78 tff(41405,plain,
% 219.20/141.78 (~v115(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29950, 41404, 29941])).
% 219.20/141.78 tff(41406,plain,
% 219.20/141.78 (~(v112(constB23) | v115(constB23))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29953, 41405, 41403])).
% 219.20/141.78 tff(41407,plain,
% 219.20/141.78 (~v111(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29956, 41406, 29751])).
% 219.20/141.78 tff(41408,plain,
% 219.20/141.78 (~(v111(constB23) | v116(constB23))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29969, 41407, 41392])).
% 219.20/141.78 tff(41409,plain,
% 219.20/141.78 (~v110(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29972, 41408, 29749])).
% 219.20/141.78 tff(41410,plain,
% 219.20/141.78 (~(v110(constB23) | v117(constB23))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29986, 41409, 41387])).
% 219.20/141.78 tff(41411,plain,
% 219.20/141.78 (~v109(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[29989, 41410, 29747])).
% 219.20/141.78 tff(41412,plain,
% 219.20/141.78 (~(v109(constB23) | v118(constB23))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30003, 41411, 41385])).
% 219.20/141.78 tff(41413,plain,
% 219.20/141.78 (~v108(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30006, 41412, 29745])).
% 219.20/141.78 tff(41414,plain,
% 219.20/141.78 (~(v108(constB23) | v119(constB23))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30035, 41413, 41381])).
% 219.20/141.78 tff(41415,plain,
% 219.20/141.78 (~v107(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30038, 41414, 29743])).
% 219.20/141.78 tff(41416,plain,
% 219.20/141.78 ((~v107(constB23)) | (~v120(constB23))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30040, 41415])).
% 219.20/141.78 tff(41417,plain,
% 219.20/141.78 (~v106(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30045, 41416])).
% 219.20/141.78 tff(41418,plain,
% 219.20/141.78 (~(v105(constB23) | v106(constB23))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30055, 41417])).
% 219.20/141.78 tff(41419,plain,
% 219.20/141.78 (~v102(constB23)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30060, 41418])).
% 219.20/141.78 tff(41420,plain,
% 219.20/141.78 (~v104(constB24)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30070, 41419])).
% 219.20/141.78 tff(41421,plain,
% 219.20/141.78 ((~v95(constB24)) | (~v104(constB24))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30072, 41420])).
% 219.20/141.78 tff(41422,plain,
% 219.20/141.78 (~v94(constB24)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30079, 41421])).
% 219.20/141.78 tff(41423,plain,
% 219.20/141.78 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB24, B) <=> v84(constB23, B)))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30087, 41422])).
% 219.20/141.78 tff(41424,plain,
% 219.20/141.78 (v84(constB24, 0) <=> v84(constB23, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30366, 41423])).
% 219.20/141.78 tff(41425,plain,
% 219.20/141.78 ((~(v84(constB24, 0) <=> v84(constB23, 0))) | v84(constB24, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30368, 41379])).
% 219.20/141.78 tff(41426,plain,
% 219.20/141.78 (v84(constB24, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41425, 41424])).
% 219.20/141.78 tff(41427,plain,
% 219.20/141.78 (v84(constB25, 0)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30626, 41426])).
% 219.20/141.78 tff(41428,plain,
% 219.20/141.78 (v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30447, 41427])).
% 219.20/141.78 tff(41429,plain,
% 219.20/141.78 (~v119(constB25)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[39365, 41428])).
% 219.20/141.78 tff(41430,plain,
% 219.20/141.78 (v84(constB24, 2) <=> v84(constB23, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30407, 41423])).
% 219.20/141.78 tff(41431,plain,
% 219.20/141.78 ((~(v84(constB24, 2) <=> v84(constB23, 2))) | v84(constB24, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30409, 41390])).
% 219.20/141.78 tff(41432,plain,
% 219.20/141.78 (v84(constB24, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41431, 41430])).
% 219.20/141.78 tff(41433,plain,
% 219.20/141.78 ((~(v84(constB25, 2) <=> v84(constB24, 2))) | v84(constB25, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30412, 41432])).
% 219.20/141.78 tff(41434,plain,
% 219.20/141.78 (v84(constB25, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41433, 30399])).
% 219.20/141.78 tff(41435,plain,
% 219.20/141.78 ((v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))) | (~v84(constB25, 2))),
% 219.20/141.78 inference(tautology,[status(thm)],[])).
% 219.20/141.78 tff(41436,plain,
% 219.20/141.78 (v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41435, 41434])).
% 219.20/141.78 tff(41437,plain,
% 219.20/141.78 ((~(v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))))) | (~v114(constB25))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30115, 41436])).
% 219.20/141.78 tff(41438,plain,
% 219.20/141.78 (~v114(constB25)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41437, 30113])).
% 219.20/141.78 tff(41439,plain,
% 219.20/141.78 (v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30374, 41427])).
% 219.20/141.78 tff(41440,plain,
% 219.20/141.78 ((~(v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))) | (~v113(constB25))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30376, 41439])).
% 219.20/141.78 tff(41441,plain,
% 219.20/141.78 (~v113(constB25)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41440, 30119])).
% 219.20/141.78 tff(41442,plain,
% 219.20/141.78 (~(v113(constB25) | v114(constB25))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30379, 41441, 41438])).
% 219.20/141.78 tff(41443,plain,
% 219.20/141.78 ((~(v112(constB25) <=> (v113(constB25) | v114(constB25)))) | (~v112(constB25))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30381, 41442])).
% 219.20/141.78 tff(41444,plain,
% 219.20/141.78 (~v112(constB25)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41443, 30111])).
% 219.20/141.78 tff(41445,plain,
% 219.20/141.78 (v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[36758, 41427])).
% 219.20/141.78 tff(41446,plain,
% 219.20/141.78 ((~(v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))) | (~v115(constB25))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30417, 41445])).
% 219.20/141.78 tff(41447,plain,
% 219.20/141.78 (~v115(constB25)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41446, 30390])).
% 219.20/141.78 tff(41448,plain,
% 219.20/141.78 ((~(v112(constB25) | v115(constB25))) | v112(constB25)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30420, 41447])).
% 219.20/141.78 tff(41449,plain,
% 219.20/141.78 (~(v112(constB25) | v115(constB25))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41448, 41444])).
% 219.20/141.78 tff(41450,plain,
% 219.20/141.78 (~v111(constB25)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30423, 41449, 30109])).
% 219.20/141.78 tff(41451,plain,
% 219.20/141.78 (v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30432, 41434])).
% 219.20/141.78 tff(41452,plain,
% 219.20/141.78 ((~(v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 0)) | (~v84(constB25, 1)))))) | (~v116(constB25))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30434, 41451])).
% 219.20/141.78 tff(41453,plain,
% 219.20/141.78 (~v116(constB25)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41452, 30431])).
% 219.20/141.78 tff(41454,plain,
% 219.20/141.78 ((~(v111(constB25) | v116(constB25))) | v111(constB25)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30437, 41453])).
% 219.20/141.78 tff(41455,plain,
% 219.20/141.78 (~(v111(constB25) | v116(constB25))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41454, 41450])).
% 219.20/141.78 tff(41456,plain,
% 219.20/141.78 (~v110(constB25)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30489, 41455, 30107])).
% 219.20/141.78 tff(41457,plain,
% 219.20/141.78 (v84(constB24, 1) <=> v84(constB23, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30096, 41423])).
% 219.20/141.78 tff(41458,plain,
% 219.20/141.78 ((~(v84(constB24, 1) <=> v84(constB23, 1))) | v84(constB24, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30098, 41383])).
% 219.20/141.78 tff(41459,plain,
% 219.20/141.78 (v84(constB24, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41458, 41457])).
% 219.20/141.78 tff(41460,plain,
% 219.20/141.78 ((~(v84(constB25, 1) <=> v84(constB24, 1))) | v84(constB25, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30101, 41459])).
% 219.20/141.78 tff(41461,plain,
% 219.20/141.78 (v84(constB25, 1)),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[41460, 29741])).
% 219.20/141.78 tff(41462,plain,
% 219.20/141.78 (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30481, 41461])).
% 219.20/141.78 tff(41463,plain,
% 219.20/141.78 ((~(v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))) | (~v117(constB25))),
% 219.20/141.78 inference(unit_resolution,[status(thm)],[30483, 41462])).
% 219.20/141.79 tff(41464,plain,
% 219.20/141.79 (~v117(constB25)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41463, 30480])).
% 219.20/141.79 tff(41465,plain,
% 219.20/141.79 ((~(v110(constB25) | v117(constB25))) | v110(constB25)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30486, 41464])).
% 219.20/141.79 tff(41466,plain,
% 219.20/141.79 (~(v110(constB25) | v117(constB25))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41465, 41456])).
% 219.20/141.79 tff(41467,plain,
% 219.20/141.79 (~v109(constB25)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30472, 41466, 30441])).
% 219.20/141.79 tff(41468,plain,
% 219.20/141.79 (v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30464, 41461])).
% 219.20/141.79 tff(41469,plain,
% 219.20/141.79 ((~(v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))) | (~v118(constB25))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30466, 41468])).
% 219.20/141.79 tff(41470,plain,
% 219.20/141.79 (~v118(constB25)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41469, 30458])).
% 219.20/141.79 tff(41471,plain,
% 219.20/141.79 ((~(v109(constB25) | v118(constB25))) | v109(constB25)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30469, 41470])).
% 219.20/141.79 tff(41472,plain,
% 219.20/141.79 (~(v109(constB25) | v118(constB25))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41471, 41467])).
% 219.20/141.79 tff(41473,plain,
% 219.20/141.79 (~v108(constB25)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30454, 41472, 30443])).
% 219.20/141.79 tff(41474,plain,
% 219.20/141.79 (~(v108(constB25) | v119(constB25))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30452, 41473, 41429])).
% 219.20/141.79 tff(41475,plain,
% 219.20/141.79 (~v107(constB25)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30498, 41474])).
% 219.20/141.79 tff(41476,plain,
% 219.20/141.79 ((~v107(constB25)) | (~v120(constB25))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30500, 41475])).
% 219.20/141.79 tff(41477,plain,
% 219.20/141.79 (~v106(constB25)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30505, 41476])).
% 219.20/141.79 tff(41478,plain,
% 219.20/141.79 (~(v105(constB25) | v106(constB25))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30515, 41477])).
% 219.20/141.79 tff(41479,plain,
% 219.20/141.79 (~v102(constB25)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30520, 41478])).
% 219.20/141.79 tff(41480,plain,
% 219.20/141.79 (v84(constB26, 1)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[36724, 41479])).
% 219.20/141.79 tff(41481,plain,
% 219.20/141.79 (v84(constB27, 1)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30607, 41480])).
% 219.20/141.79 tff(41482,plain,
% 219.20/141.79 (v84(constB27, 0) | v84(constB27, 1) | v84(constB27, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[39478, 41481])).
% 219.20/141.79 tff(41483,plain,
% 219.20/141.79 (~v104(constB26)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30530, 41479])).
% 219.20/141.79 tff(41484,plain,
% 219.20/141.79 ((~v95(constB26)) | (~v104(constB26))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30532, 41483])).
% 219.20/141.79 tff(41485,plain,
% 219.20/141.79 (~v94(constB26)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30539, 41484])).
% 219.20/141.79 tff(41486,plain,
% 219.20/141.79 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB26, B) <=> v84(constB25, B)))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30547, 41485])).
% 219.20/141.79 tff(41487,plain,
% 219.20/141.79 (v84(constB26, 0) <=> v84(constB25, 0)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30618, 41486])).
% 219.20/141.79 tff(41488,plain,
% 219.20/141.79 ((~(v84(constB26, 0) <=> v84(constB25, 0))) | v84(constB26, 0)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30628, 41427])).
% 219.20/141.79 tff(41489,plain,
% 219.20/141.79 (v84(constB26, 0)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41488, 41487])).
% 219.20/141.79 tff(41490,plain,
% 219.20/141.79 (v84(constB27, 0)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30643, 41489])).
% 219.20/141.79 tff(41491,plain,
% 219.20/141.79 ((~v84(constB27, 1)) | v84(constB27, 0) | (~v84(constB27, 2))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30645, 41490])).
% 219.20/141.79 tff(41492,plain,
% 219.20/141.79 (~v119(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30657, 41491])).
% 219.20/141.79 tff(41493,plain,
% 219.20/141.79 (v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30661, 41481])).
% 219.20/141.79 tff(41494,plain,
% 219.20/141.79 ((~v118(constB27)) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | (~v84(constB27, 2))))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30663, 35252])).
% 219.20/141.79 tff(41495,plain,
% 219.20/141.79 (~v118(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41494, 41493])).
% 219.20/141.79 tff(41496,plain,
% 219.20/141.79 (v84(constB27, 1) | v84(constB27, 0) | (~v84(constB27, 2))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[36144, 41481])).
% 219.20/141.79 tff(41497,plain,
% 219.20/141.79 (~v117(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30678, 41496])).
% 219.20/141.79 tff(41498,plain,
% 219.20/141.79 (~v113(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30693, 41482])).
% 219.20/141.79 tff(41499,plain,
% 219.20/141.79 (v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30702, 41481])).
% 219.20/141.79 tff(41500,plain,
% 219.20/141.79 ((~v114(constB27)) | (~(v84(constB27, 1) | (~v84(constB27, 0)) | v84(constB27, 2)))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30704, 35170])).
% 219.20/141.79 tff(41501,plain,
% 219.20/141.79 (~v114(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41500, 41499])).
% 219.20/141.79 tff(41502,plain,
% 219.20/141.79 (~(v113(constB27) | v114(constB27))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30707, 41501, 41498])).
% 219.20/141.79 tff(41503,plain,
% 219.20/141.79 ((~(v112(constB27) <=> (v113(constB27) | v114(constB27)))) | (~v112(constB27))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30709, 41502])).
% 219.20/141.79 tff(41504,plain,
% 219.20/141.79 (~v112(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41503, 30685])).
% 219.20/141.79 tff(41505,plain,
% 219.20/141.79 ((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30719, 41490])).
% 219.20/141.79 tff(41506,plain,
% 219.20/141.79 ((~(v115(constB27) <=> (~((~v84(constB27, 1)) | v84(constB27, 0) | v84(constB27, 2))))) | (~v115(constB27))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30721, 41505])).
% 219.20/141.79 tff(41507,plain,
% 219.20/141.79 (~v115(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41506, 30718])).
% 219.20/141.79 tff(41508,plain,
% 219.20/141.79 ((~(v112(constB27) | v115(constB27))) | v112(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30724, 41507])).
% 219.20/141.79 tff(41509,plain,
% 219.20/141.79 (~(v112(constB27) | v115(constB27))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41508, 41504])).
% 219.20/141.79 tff(41510,plain,
% 219.20/141.79 (~v111(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30727, 41509, 30683])).
% 219.20/141.79 tff(41511,plain,
% 219.20/141.79 (v84(constB26, 2) <=> v84(constB25, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30752, 41486])).
% 219.20/141.79 tff(41512,plain,
% 219.20/141.79 ((~(v84(constB26, 2) <=> v84(constB25, 2))) | v84(constB26, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30759, 41434])).
% 219.20/141.79 tff(41513,plain,
% 219.20/141.79 (v84(constB26, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41512, 41511])).
% 219.20/141.79 tff(41514,plain,
% 219.20/141.79 ((~(v84(constB27, 2) <=> v84(constB26, 2))) | v84(constB27, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30762, 41513])).
% 219.20/141.79 tff(41515,plain,
% 219.20/141.79 (v84(constB27, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41514, 30744])).
% 219.20/141.79 tff(41516,plain,
% 219.20/141.79 ((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30765, 41515])).
% 219.20/141.79 tff(41517,plain,
% 219.20/141.79 ((~(v116(constB27) <=> (~((~v84(constB27, 1)) | (~v84(constB27, 0)) | v84(constB27, 2))))) | (~v116(constB27))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30767, 41516])).
% 219.20/141.79 tff(41518,plain,
% 219.20/141.79 (~v116(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41517, 30735])).
% 219.20/141.79 tff(41519,plain,
% 219.20/141.79 ((~(v111(constB27) | v116(constB27))) | v111(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30770, 41518])).
% 219.20/141.79 tff(41520,plain,
% 219.20/141.79 (~(v111(constB27) | v116(constB27))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41519, 41510])).
% 219.20/141.79 tff(41521,plain,
% 219.20/141.79 (~v110(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30773, 41520, 30681])).
% 219.20/141.79 tff(41522,plain,
% 219.20/141.79 (~(v110(constB27) | v117(constB27))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30775, 41521, 41497])).
% 219.20/141.79 tff(41523,plain,
% 219.20/141.79 (~v109(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30782, 41522])).
% 219.20/141.79 tff(41524,plain,
% 219.20/141.79 (~(v109(constB27) | v118(constB27))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30784, 41523, 41495])).
% 219.20/141.79 tff(41525,plain,
% 219.20/141.79 (~v108(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30791, 41524])).
% 219.20/141.79 tff(41526,plain,
% 219.20/141.79 (~(v108(constB27) | v119(constB27))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30793, 41525, 41492])).
% 219.20/141.79 tff(41527,plain,
% 219.20/141.79 (~v107(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[39485, 41526])).
% 219.20/141.79 tff(41528,plain,
% 219.20/141.79 ((~v107(constB27)) | (~v120(constB27))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30797, 41527])).
% 219.20/141.79 tff(41529,plain,
% 219.20/141.79 (~v106(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30802, 41528])).
% 219.20/141.79 tff(41530,plain,
% 219.20/141.79 (~(v105(constB27) | v106(constB27))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30812, 41529])).
% 219.20/141.79 tff(41531,plain,
% 219.20/141.79 (~v102(constB27)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30817, 41530])).
% 219.20/141.79 tff(41532,plain,
% 219.20/141.79 (v84(constB28, 1)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[35275, 41531, 41482])).
% 219.20/141.79 tff(41533,plain,
% 219.20/141.79 (v84(constB29, 1)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[34970, 41532])).
% 219.20/141.79 tff(41534,plain,
% 219.20/141.79 (v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30864, 41533])).
% 219.20/141.79 tff(41535,plain,
% 219.20/141.79 ((~(v114(constB29) <=> (~(v84(constB29, 1) | v84(constB29, 2) | (~v84(constB29, 0)))))) | (~v114(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30866, 41534])).
% 219.20/141.79 tff(41536,plain,
% 219.20/141.79 (~v114(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41535, 29648])).
% 219.20/141.79 tff(41537,plain,
% 219.20/141.79 (v84(constB29, 0) | v84(constB29, 1) | v84(constB29, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[37567, 41533])).
% 219.20/141.79 tff(41538,plain,
% 219.20/141.79 (~v113(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30902, 41537])).
% 219.20/141.79 tff(41539,plain,
% 219.20/141.79 (~(v113(constB29) | v114(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30904, 41538, 41536])).
% 219.20/141.79 tff(41540,plain,
% 219.20/141.79 ((~(v112(constB29) <=> (v113(constB29) | v114(constB29)))) | (~v112(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30906, 41539])).
% 219.20/141.79 tff(41541,plain,
% 219.20/141.79 (~v112(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41540, 29646])).
% 219.20/141.79 tff(41542,plain,
% 219.20/141.79 (v84(constB28, 0)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[37136, 41531, 41532])).
% 219.20/141.79 tff(41543,plain,
% 219.20/141.79 (v84(constB29, 0)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[34965, 41542])).
% 219.20/141.79 tff(41544,plain,
% 219.20/141.79 (v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30935, 41543])).
% 219.20/141.79 tff(41545,plain,
% 219.20/141.79 ((~(v115(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))))) | (~v115(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30937, 41544])).
% 219.20/141.79 tff(41546,plain,
% 219.20/141.79 (~v115(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41545, 30910])).
% 219.20/141.79 tff(41547,plain,
% 219.20/141.79 ((~(v112(constB29) | v115(constB29))) | v112(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30940, 41546])).
% 219.20/141.79 tff(41548,plain,
% 219.20/141.79 (~(v112(constB29) | v115(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41547, 41541])).
% 219.20/141.79 tff(41549,plain,
% 219.20/141.79 (~v111(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30943, 41548, 29644])).
% 219.20/141.79 tff(41550,plain,
% 219.20/141.79 (~v104(constB28)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30827, 41531])).
% 219.20/141.79 tff(41551,plain,
% 219.20/141.79 ((~v95(constB28)) | (~v104(constB28))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30829, 41550])).
% 219.20/141.79 tff(41552,plain,
% 219.20/141.79 (~v94(constB28)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30836, 41551])).
% 219.20/141.79 tff(41553,plain,
% 219.20/141.79 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB28, B) <=> v84(constB27, B)))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30844, 41552])).
% 219.20/141.79 tff(41554,plain,
% 219.20/141.79 (v84(constB28, 2) <=> v84(constB27, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30876, 41553])).
% 219.20/141.79 tff(41555,plain,
% 219.20/141.79 ((~(v84(constB28, 2) <=> v84(constB27, 2))) | v84(constB28, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30878, 41515])).
% 219.20/141.79 tff(41556,plain,
% 219.20/141.79 (v84(constB28, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41555, 41554])).
% 219.20/141.79 tff(41557,plain,
% 219.20/141.79 (v84(constB29, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30893, 41556])).
% 219.20/141.79 tff(41558,plain,
% 219.20/141.79 (v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30952, 41557])).
% 219.20/141.79 tff(41559,plain,
% 219.20/141.79 ((~(v116(constB29) <=> (~(v84(constB29, 2) | (~v84(constB29, 0)) | (~v84(constB29, 1)))))) | (~v116(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30954, 41558])).
% 219.20/141.79 tff(41560,plain,
% 219.20/141.79 (~v116(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41559, 30951])).
% 219.20/141.79 tff(41561,plain,
% 219.20/141.79 ((~(v111(constB29) | v116(constB29))) | v111(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30957, 41560])).
% 219.20/141.79 tff(41562,plain,
% 219.20/141.79 (~(v111(constB29) | v116(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41561, 41549])).
% 219.20/141.79 tff(41563,plain,
% 219.20/141.79 (~v110(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30960, 41562, 29642])).
% 219.20/141.79 tff(41564,plain,
% 219.20/141.79 (v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31033, 41529])).
% 219.20/141.79 tff(41565,plain,
% 219.20/141.79 ((~(v117(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 1) | (~v84(constB29, 2)))))) | (~v117(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31035, 41564])).
% 219.20/141.79 tff(41566,plain,
% 219.20/141.79 (~v117(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41565, 30963])).
% 219.20/141.79 tff(41567,plain,
% 219.20/141.79 ((~(v110(constB29) | v117(constB29))) | v110(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31038, 41566])).
% 219.20/141.79 tff(41568,plain,
% 219.20/141.79 (~(v110(constB29) | v117(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41567, 41563])).
% 219.20/141.79 tff(41569,plain,
% 219.20/141.79 (~v109(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31041, 41568, 29640])).
% 219.20/141.79 tff(41570,plain,
% 219.20/141.79 (v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31050, 41533])).
% 219.20/141.79 tff(41571,plain,
% 219.20/141.79 ((~(v118(constB29) <=> (~(v84(constB29, 1) | (~v84(constB29, 2)) | (~v84(constB29, 0)))))) | (~v118(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31052, 41570])).
% 219.20/141.79 tff(41572,plain,
% 219.20/141.79 (~v118(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41571, 31049])).
% 219.20/141.79 tff(41573,plain,
% 219.20/141.79 ((~(v109(constB29) | v118(constB29))) | v109(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31055, 41572])).
% 219.20/141.79 tff(41574,plain,
% 219.20/141.79 (~(v109(constB29) | v118(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41573, 41569])).
% 219.20/141.79 tff(41575,plain,
% 219.20/141.79 (~v108(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31058, 41574, 29638])).
% 219.20/141.79 tff(41576,plain,
% 219.20/141.79 (v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31067, 41543])).
% 219.20/141.79 tff(41577,plain,
% 219.20/141.79 ((~(v119(constB29) <=> (~(v84(constB29, 0) | (~v84(constB29, 2)) | (~v84(constB29, 1)))))) | (~v119(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31069, 41576])).
% 219.20/141.79 tff(41578,plain,
% 219.20/141.79 (~v119(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41577, 31066])).
% 219.20/141.79 tff(41579,plain,
% 219.20/141.79 ((~(v108(constB29) | v119(constB29))) | v108(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31072, 41578])).
% 219.20/141.79 tff(41580,plain,
% 219.20/141.79 (~(v108(constB29) | v119(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41579, 41575])).
% 219.20/141.79 tff(41581,plain,
% 219.20/141.79 (~v107(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31075, 41580, 29636])).
% 219.20/141.79 tff(41582,plain,
% 219.20/141.79 ((~v107(constB29)) | (~v120(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31077, 41581])).
% 219.20/141.79 tff(41583,plain,
% 219.20/141.79 (~v106(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31082, 41582])).
% 219.20/141.79 tff(41584,plain,
% 219.20/141.79 (~(v105(constB29) | v106(constB29))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31092, 41583])).
% 219.20/141.79 tff(41585,plain,
% 219.20/141.79 (~v102(constB29)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31097, 41584])).
% 219.20/141.79 tff(41586,plain,
% 219.20/141.79 (~v104(constB30)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31107, 41585])).
% 219.20/141.79 tff(41587,plain,
% 219.20/141.79 ((~v95(constB30)) | (~v104(constB30))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31109, 41586])).
% 219.20/141.79 tff(41588,plain,
% 219.20/141.79 (~v94(constB30)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31116, 41587])).
% 219.20/141.79 tff(41589,plain,
% 219.20/141.79 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB30, B) <=> v84(constB29, B)))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31124, 41588])).
% 219.20/141.79 tff(41590,plain,
% 219.20/141.79 (v84(constB30, 1) <=> v84(constB29, 1)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31133, 41589])).
% 219.20/141.79 tff(41591,plain,
% 219.20/141.79 ((~(v84(constB30, 1) <=> v84(constB29, 1))) | v84(constB30, 1)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31135, 41533])).
% 219.20/141.79 tff(41592,plain,
% 219.20/141.79 (v84(constB30, 1)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41591, 41590])).
% 219.20/141.79 tff(41593,plain,
% 219.20/141.79 (v84(constB31, 1)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[35983, 41592])).
% 219.20/141.79 tff(41594,plain,
% 219.20/141.79 (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31141, 41593])).
% 219.20/141.79 tff(41595,plain,
% 219.20/141.79 ((~(v114(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))))) | (~v114(constB31))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31143, 41594])).
% 219.20/141.79 tff(41596,plain,
% 219.20/141.79 (~v114(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41595, 29591])).
% 219.20/141.79 tff(41597,plain,
% 219.20/141.79 (v84(constB30, 0) <=> v84(constB29, 0)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31164, 41589])).
% 219.20/141.79 tff(41598,plain,
% 219.20/141.79 ((~(v84(constB30, 0) <=> v84(constB29, 0))) | v84(constB30, 0)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31166, 41543])).
% 219.20/141.79 tff(41599,plain,
% 219.20/141.79 (v84(constB30, 0)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41598, 41597])).
% 219.20/141.79 tff(41600,plain,
% 219.20/141.79 (v84(constB31, 0)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[35745, 41599])).
% 219.20/141.79 tff(41601,plain,
% 219.20/141.79 (v84(constB31, 0) | v84(constB31, 1) | v84(constB31, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31172, 41600])).
% 219.20/141.79 tff(41602,plain,
% 219.20/141.79 (~v113(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[36102, 41601])).
% 219.20/141.79 tff(41603,plain,
% 219.20/141.79 (~(v113(constB31) | v114(constB31))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31177, 41602, 41596])).
% 219.20/141.79 tff(41604,plain,
% 219.20/141.79 ((~(v112(constB31) <=> (v113(constB31) | v114(constB31)))) | (~v112(constB31))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31179, 41603])).
% 219.20/141.79 tff(41605,plain,
% 219.20/141.79 (~v112(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41604, 29589])).
% 219.20/141.79 tff(41606,plain,
% 219.20/141.79 (v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31189, 41600])).
% 219.20/141.79 tff(41607,plain,
% 219.20/141.79 ((~(v115(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | v84(constB31, 2))))) | (~v115(constB31))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31191, 41606])).
% 219.20/141.79 tff(41608,plain,
% 219.20/141.79 (~v115(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41607, 31188])).
% 219.20/141.79 tff(41609,plain,
% 219.20/141.79 ((~(v112(constB31) | v115(constB31))) | v112(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31194, 41608])).
% 219.20/141.79 tff(41610,plain,
% 219.20/141.79 (~(v112(constB31) | v115(constB31))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41609, 41605])).
% 219.20/141.79 tff(41611,plain,
% 219.20/141.79 (~v111(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31197, 41610, 29587])).
% 219.20/141.79 tff(41612,plain,
% 219.20/141.79 (v84(constB30, 2) <=> v84(constB29, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31222, 41589])).
% 219.20/141.79 tff(41613,plain,
% 219.20/141.79 ((~(v84(constB30, 2) <=> v84(constB29, 2))) | v84(constB30, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31224, 41557])).
% 219.20/141.79 tff(41614,plain,
% 219.20/141.79 (v84(constB30, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41613, 41612])).
% 219.20/141.79 tff(41615,plain,
% 219.20/141.79 (v84(constB31, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[35648, 41614])).
% 219.20/141.79 tff(41616,plain,
% 219.20/141.79 ((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31230, 41615])).
% 219.20/141.79 tff(41617,plain,
% 219.20/141.79 ((~(v116(constB31) <=> (~((~v84(constB31, 1)) | v84(constB31, 2) | (~v84(constB31, 0)))))) | (~v116(constB31))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31232, 41616])).
% 219.20/141.79 tff(41618,plain,
% 219.20/141.79 (~v116(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41617, 31205])).
% 219.20/141.79 tff(41619,plain,
% 219.20/141.79 ((~(v111(constB31) | v116(constB31))) | v111(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31235, 41618])).
% 219.20/141.79 tff(41620,plain,
% 219.20/141.79 (~(v111(constB31) | v116(constB31))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41619, 41611])).
% 219.20/141.79 tff(41621,plain,
% 219.20/141.79 (v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31271, 41600])).
% 219.20/141.79 tff(41622,plain,
% 219.20/141.79 ((~(v119(constB31) <=> (~(v84(constB31, 0) | (~v84(constB31, 1)) | (~v84(constB31, 2)))))) | (~v119(constB31))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31273, 41621])).
% 219.20/141.79 tff(41623,plain,
% 219.20/141.79 (~v119(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41622, 31270])).
% 219.20/141.79 tff(41624,plain,
% 219.20/141.79 (v108(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31276, 41623, 38020])).
% 219.20/141.79 tff(41625,plain,
% 219.20/141.79 ((~(v108(constB31) <=> (v109(constB31) | v118(constB31)))) | (v109(constB31) | v118(constB31))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31267, 41624])).
% 219.20/141.79 tff(41626,plain,
% 219.20/141.79 (v109(constB31) | v118(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41625, 29581])).
% 219.20/141.79 tff(41627,plain,
% 219.20/141.79 (v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31259, 41593])).
% 219.20/141.79 tff(41628,plain,
% 219.20/141.79 ((~(v118(constB31) <=> (~(v84(constB31, 1) | (~v84(constB31, 2)) | (~v84(constB31, 0)))))) | (~v118(constB31))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31261, 41627])).
% 219.20/141.79 tff(41629,plain,
% 219.20/141.79 (~v118(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41628, 31258])).
% 219.20/141.79 tff(41630,plain,
% 219.20/141.79 ((~(v109(constB31) | v118(constB31))) | v109(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31264, 41629])).
% 219.20/141.79 tff(41631,plain,
% 219.20/141.79 (v109(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41630, 41626])).
% 219.20/141.79 tff(41632,plain,
% 219.20/141.79 (v110(constB31) | v117(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31250, 41631, 29583])).
% 219.20/141.79 tff(41633,plain,
% 219.20/141.79 (v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31242, 41600])).
% 219.20/141.79 tff(41634,plain,
% 219.20/141.79 ((~(v117(constB31) <=> (~(v84(constB31, 0) | v84(constB31, 1) | (~v84(constB31, 2)))))) | (~v117(constB31))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31244, 41633])).
% 219.20/141.79 tff(41635,plain,
% 219.20/141.79 (~v117(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41634, 31241])).
% 219.20/141.79 tff(41636,plain,
% 219.20/141.79 ((~(v110(constB31) | v117(constB31))) | v110(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31247, 41635])).
% 219.20/141.79 tff(41637,plain,
% 219.20/141.79 (v110(constB31)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41636, 41632])).
% 219.20/141.79 tff(41638,plain,
% 219.20/141.79 ($false),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[31238, 41637, 41620, 29585])).
% 219.20/141.79 tff(41639,plain,(v94(constB22) | (~(v108(constB31) | v119(constB31))) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.79 tff(41640,plain,
% 219.20/141.79 (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41639, 41349, 38020])).
% 219.20/141.79 tff(41641,plain,
% 219.20/141.79 (v84(constB23, 0)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[39134, 41640])).
% 219.20/141.79 tff(41642,plain,
% 219.20/141.79 (~v84(constB23, 1)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[25718, 41640])).
% 219.20/141.79 tff(41643,plain,
% 219.20/141.79 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB22, B) <=> v84(constB21, B)))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[25534, 41349])).
% 219.20/141.79 tff(41644,plain,
% 219.20/141.79 (~v84(constB23, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[40434, 41640])).
% 219.20/141.79 tff(41645,plain,
% 219.20/141.79 (~(v84(constB23, 0) | v84(constB23, 1) | v84(constB23, 2))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[40410, 41644, 41301, 41643, 41642])).
% 219.20/141.79 tff(41646,plain,
% 219.20/141.79 ($false),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[30309, 41645, 41641])).
% 219.20/141.79 tff(41647,plain,((v108(constB18) | v119(constB18)) | (~(v108(constB31) | v119(constB31)))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.79 tff(41648,plain,
% 219.20/141.79 (v108(constB18) | v119(constB18)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41647, 37970])).
% 219.20/141.79 tff(41649,plain,
% 219.20/141.79 (~v84(constB19, 2)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[40588, 40543, 22538])).
% 219.20/141.79 tff(41650,plain,
% 219.20/141.79 (v109(constB19)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[26908, 41649])).
% 219.20/141.79 tff(41651,plain,
% 219.20/141.79 ($false),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[26362, 41650, 40545])).
% 219.20/141.79 tff(41652,plain,((v108(constB19) | v119(constB19)) | (~(v108(constB18) | v119(constB18)))), inference(lemma,lemma(discharge,[]))).
% 219.20/141.79 tff(41653,plain,
% 219.20/141.79 (v108(constB19) | v119(constB19)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[41652, 41648])).
% 219.20/141.79 tff(41654,plain,
% 219.20/141.79 (v107(constB19)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[26378, 41653])).
% 219.20/141.79 tff(41655,plain,
% 219.20/141.79 (~((~v107(constB19)) | (~v120(constB19)))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[26386, 41654])).
% 219.20/141.79 tff(41656,plain,
% 219.20/141.79 (v106(constB19)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[26391, 41655])).
% 219.20/141.79 tff(41657,plain,
% 219.20/141.79 (v105(constB19) | v106(constB19)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[26393, 41656])).
% 219.20/141.79 tff(41658,plain,
% 219.20/141.79 (v102(constB19)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[26398, 41657])).
% 219.20/141.79 tff(41659,plain,
% 219.20/141.79 (v104(constB20)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[26405, 41658])).
% 219.20/141.79 tff(41660,plain,
% 219.20/141.79 (~((~v95(constB20)) | (~v104(constB20)))),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[26436, 41659])).
% 219.20/141.79 tff(41661,plain,
% 219.20/141.79 (v94(constB20)),
% 219.20/141.79 inference(unit_resolution,[status(thm)],[26443, 41660])).
% 219.20/141.79 tff(41662,plain,
% 219.20/141.79 (![B: $int] : ($greatereq(B, 3) | (~$greatereq(B, 0)) | (v84(constB20, B) <